rocket_problem-convexification-wmass-mpc.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "b6a89004",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Fausto Vega\n",
    "#Optimal Control Final Project\n",
    "using ECOS, Convex, LinearAlgebra\n",
    "using SatelliteDynamics\n",
    "using COSMO\n",
    "using Mosek\n",
    "using MosekTools"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "2f2613d0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "skewmatrix (generic function with 1 method)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function skewmatrix(x) #create the skew symmetric matrix from a vector input\n",
    "    S = [0 -x[3] x[2]; x[3] 0 -x[1]; -x[2] x[1] 0]\n",
    "    return S\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "48736f90",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0005"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "α = 5e-4 #mass dynamics constant"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "2093d663",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Vector{Float64}:\n",
       " -3.71\n",
       "  0.0\n",
       "  0.0"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#For MARS \n",
    "#omega for mars\n",
    "omega = [2.53e-5 0 6.62e-5]\n",
    "\n",
    "#mars gravity\n",
    "g = vec([-3.71 0 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "4f7a43e7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nx = 7 #number of states [position velocity mass]\n",
    "nu = 4 #number of controls on acceleration\n",
    "nd = 7 #number of affine variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "feda6a9a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "95"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "N = 95 #number of knot points works"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "f16fe8c7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dt = 0.5 #time step"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "c3ed7956",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "18×18 Matrix{Float64}:\n",
       "  0.0          0.0          0.0         …  1.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       "  0.0          0.0          0.0            0.0  1.0  0.0  0.0  0.0  0.0  0.0\n",
       "  0.0          0.0          0.0            0.0  0.0  1.0  0.0  0.0  0.0  0.0\n",
       "  4.38244e-9  -0.0         -1.67486e-9     0.0  0.0  0.0  1.0  0.0  0.0  0.0\n",
       " -0.0          5.02253e-9  -0.0            0.0  0.0  0.0  0.0  1.0  0.0  0.0\n",
       " -1.67486e-9  -0.0          6.4009e-10  …  0.0  0.0  0.0  0.0  0.0  1.0  0.0\n",
       "  0.0          0.0          0.0            0.0  0.0  0.0  0.0  0.0  0.0  1.0\n",
       "  0.0          0.0          0.0            0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       "  0.0          0.0          0.0            0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       "  0.0          0.0          0.0            0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       "  0.0          0.0          0.0         …  0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       "  0.0          0.0          0.0            0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       "  0.0          0.0          0.0            0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       "  0.0          0.0          0.0            0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       "  0.0          0.0          0.0            0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       "  0.0          0.0          0.0         …  0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       "  0.0          0.0          0.0            0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       "  0.0          0.0          0.0            0.0  0.0  0.0  0.0  0.0  0.0  0.0"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Create A Matrix\n",
    "A = [zeros(3,3) I zeros(3); -(skewmatrix(omega))^2 -2*skewmatrix(omega) zeros(3); zeros(7)']\n",
    "\n",
    "#Create B Matrix\n",
    "B_original = [zeros(3,3); I]\n",
    "\n",
    "B = [B_original zeros(6);zeros(3)' -α]\n",
    "\n",
    "#Affine term\n",
    "d = [zeros(3,3); I; zeros(3)']*g\n",
    "\n",
    "#Create Ã\n",
    "Ã = [A B I; zeros(nu,nx+nu+nd); zeros(nd,nx+nu+nd)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "9e11f6ff",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7×7 Matrix{Float64}:\n",
       "  0.5           1.73173e-15  -3.48929e-11  …   2.75833e-6  1.30848e-11  0.0\n",
       " -1.73173e-15   0.5           6.61823e-16      0.125       1.05417e-6   0.0\n",
       " -3.48929e-11  -6.61823e-16   0.5             -1.05417e-6  0.125        0.0\n",
       "  5.47805e-10   1.38538e-14  -2.09357e-10      1.655e-5    1.04679e-10  0.0\n",
       " -1.38538e-14   6.27816e-10   5.29458e-15      0.5         6.325e-6     0.0\n",
       " -2.09357e-10  -5.29458e-15   8.00112e-11  …  -6.325e-6    0.5          0.0\n",
       "  0.0           0.0           0.0              0.0         0.0          0.5"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#change from continous to discrete \n",
    "H = exp(dt*Ã) \n",
    "\n",
    "Ad = H[1:nx, 1:nx] \n",
    "Bd = H[1:nx,(nx+1):(nx+4)]\n",
    "Dd = H[1:nx, (nx+5):end]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "433bcc6e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7-element Vector{Float64}:\n",
       " 0.0\n",
       " 0.0\n",
       " 0.0\n",
       " 0.0\n",
       " 0.0\n",
       " 0.0\n",
       " 5.703782474656201"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mf = 300 #final mass in kg (not used in optimization)\n",
    "m0 = 2000 #intial mass in kg\n",
    "\n",
    "#Landing state\n",
    "x_goal = [0, 0, 0, 0, 0, 0, log(mf)] #x,y,z, vx,vy,vz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "a24e2f67",
   "metadata": {},
   "outputs": [],
   "source": [
    "theta = 70 * pi/180 #thrust pointing angle\n",
    "Vmax = 90 #maximum velocity\n",
    "gs = pi/6 #glide slope angle\n",
    "maxthrust = 24000 \n",
    "Tmin = 0.15* maxthrust #maximum thrust\n",
    "Tmax = 0.8* maxthrust #minimum thrust\n",
    "\n",
    "#mass dynamics term\n",
    "z0 = zeros(N) \n",
    "\n",
    "for k in 1:N\n",
    "    z0[k] = log(m0 - α*Tmax*(k-1)*dt)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "4f82486d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "update_prob (generic function with 1 method)"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function update_prob(x_initial, N)\n",
    "    \n",
    "    cons = 0 #clear constraints and decision variables every time step \n",
    "    X = 0\n",
    "    U = 0\n",
    "    \n",
    "    X = Variable(nx, N)\n",
    "    U = Variable(nu, N-1)\n",
    "    \n",
    "    c = ([1 0 0]')/tan(gs)\n",
    "\n",
    "    cons = Constraint[X[:,1] == x_initial] #initial state constraint\n",
    "\n",
    "    n = vec([1 0 0]) #vector pointing up\n",
    "\n",
    "    #state constraints\n",
    "    #Dynamics Constraint\n",
    "    for k=1:(N-1)\n",
    "        push!(cons, X[:,k+1] == Ad*X[:,k]+Bd*U[:,k]+Dd*d)\n",
    "\n",
    "    end\n",
    "\n",
    "    #Velocity Constraint: To avoid supersonic\n",
    "    for k=1:N\n",
    "        push!(cons, norm(X[4:6, k]) <= Vmax)\n",
    "\n",
    "        #Glideslope constraint\n",
    "\n",
    "        push!(cons, norm(X[2:3, k] - X[2:3, N]) - c'*(X[1:3,k] - X[1:3,N]) <= 0)  \n",
    "    end\n",
    "\n",
    "    #Goal constraint\n",
    "\n",
    "    push!(cons, X[4:6, N] == 0) #final velocity has to be zero\n",
    "    \n",
    "    push!(cons, X[1,N] == 0) #altitude of spacecraft must be zero at the last time steps\n",
    "\n",
    "    #Controls Constraints\n",
    "    for k=1:(N-1)\n",
    "\n",
    "        σ = U[4,k]\n",
    "\n",
    "        push!(cons, norm(U[1:3,k])<= σ)\n",
    "\n",
    "        #thrust vector inside a cone\n",
    "        push!(cons, n'*U[1:3,k] >= σ*cos(theta))\n",
    "        \n",
    "        push!(cons, Tmin*exp(-z0[k])*(1-(X[7,k] - z0[k]) + square(X[7,k] - z0[k])/2) <= σ)\n",
    "        push!(cons, σ <= Tmax*exp(-z0[k])*(1 - (X[7,k] - z0[k])))\n",
    "\n",
    "        #push!(cons, Tmin*exp(X[7,k]) <= σ)\n",
    "        #push!(cons,  σ <= Tmax*exp(X[7,k]))\n",
    "    end\n",
    "    \n",
    "    return cons, X, U\n",
    "    \n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "bc93ce43",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "solve_opt (generic function with 1 method)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Create optimization problem \n",
    "function solve_opt(cons, X, U)\n",
    "        \n",
    "    prob = minimize(norm(X[2:3,end] - x_goal[2:3]), cons); #Landing Error Cost function\n",
    "\n",
    "    #Solve problem\n",
    "    solve!(prob, ()-> Mosek.Optimizer()); #solve with MOSEK solver. Can use other solvers too (ex. ECOS)\n",
    "\n",
    "    Xm = X.value;\n",
    "    Um = U.value;\n",
    "    \n",
    "    return Xm, Um\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "0263340b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2656            \n",
      "  Cones                  : 379             \n",
      "  Scalar variables       : 2747            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 93\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.01            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2656            \n",
      "  Cones                  : 379             \n",
      "  Scalar variables       : 2747            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 1314\n",
      "Optimizer  - Cones                  : 377\n",
      "Optimizer  - Scalar variables       : 2063              conic                  : 1594            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 2.90e+04          after factor           : 4.40e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 3.52e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   4.2e+03  1.0e+00  1.3e+04  0.00e+00   1.000000000e+00   -1.252692194e+04  1.0e+00  0.02  \n",
      "1   2.8e+03  6.6e-01  1.0e+04  -9.99e-01  1.505049085e+00   -1.252114048e+04  6.6e-01  0.03  \n",
      "2   1.1e+03  2.7e-01  6.5e+03  -9.97e-01  3.925797337e+00   -1.247849377e+04  2.7e-01  0.03  \n",
      "3   2.9e+02  6.9e-02  3.2e+03  -9.89e-01  1.783339617e+01   -1.222553977e+04  6.9e-02  0.04  \n",
      "4   9.5e+01  2.3e-02  1.7e+03  -9.45e-01  5.274263203e+01   -1.143819469e+04  2.3e-02  0.04  \n",
      "5   3.7e+01  8.8e-03  9.3e+02  -8.04e-01  1.022846436e+02   -9.565861735e+03  8.8e-03  0.04  \n",
      "6   1.4e+01  3.4e-03  3.7e+02  -4.26e-01  1.349180157e+02   -6.112404044e+03  3.4e-03  0.04  \n",
      "7   6.0e+00  1.4e-03  1.2e+02  2.29e-01   1.391705979e+02   -3.123272436e+03  1.4e-03  0.04  \n",
      "8   2.1e+00  5.0e-04  2.3e+01  7.29e-01   1.180562284e+02   -1.056686269e+03  5.0e-04  0.04  \n",
      "9   1.0e+00  2.5e-04  7.9e+00  1.05e+00   9.586711639e+00   -5.540466616e+02  2.5e-04  0.05  \n",
      "10  4.9e-01  1.2e-04  2.6e+00  1.06e+00   1.371771105e+02   -1.201712943e+02  1.2e-04  0.05  \n",
      "11  5.2e-02  1.2e-05  8.9e-02  1.05e+00   1.044459637e+01   -1.594403872e+01  1.2e-05  0.05  \n",
      "12  6.0e-05  1.4e-08  3.4e-06  1.01e+00   1.210429960e-02   -1.864281655e-02  1.4e-08  0.05  \n",
      "13  2.9e-08  7.1e-12  3.6e-11  1.00e+00   5.910281896e-06   -9.102906151e-06  7.1e-12  0.05  \n",
      "14  1.9e-11  3.2e-17  5.5e-19  1.00e+00   7.463250998e-14   -1.520019693e-13  1.1e-19  0.06  \n",
      "Optimizer terminated. Time: 0.06    \n",
      "\n",
      "[2394.635414678032, 430.18711276360574, -324.964287387273, -11.458333032440697, -39.251532261255555, 10.142847295886451, 7.600378102359414]\n",
      "N: 95\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2628            \n",
      "  Cones                  : 375             \n",
      "  Scalar variables       : 2718            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 92\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.01            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2628            \n",
      "  Cones                  : 375             \n",
      "  Scalar variables       : 2718            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 1300\n",
      "Optimizer  - Cones                  : 373\n",
      "Optimizer  - Scalar variables       : 2042              conic                  : 1578            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 2.85e+04          after factor           : 4.33e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 3.44e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   4.1e+03  1.0e+00  1.2e+04  0.00e+00   1.000000000e+00   -1.242763020e+04  1.0e+00  0.01  \n",
      "1   2.7e+03  6.6e-01  1.0e+04  -9.99e-01  1.507860398e+00   -1.242185281e+04  6.6e-01  0.02  \n",
      "2   1.1e+03  2.7e-01  6.4e+03  -9.97e-01  3.938130010e+00   -1.237892796e+04  2.7e-01  0.02  \n",
      "3   2.8e+02  6.8e-02  3.2e+03  -9.89e-01  1.784574504e+01   -1.212359300e+04  6.8e-02  0.02  \n",
      "4   9.3e+01  2.2e-02  1.7e+03  -9.44e-01  5.285097731e+01   -1.131993169e+04  2.2e-02  0.02  \n",
      "5   3.5e+01  8.4e-03  8.9e+02  -7.97e-01  1.031941308e+02   -9.337109566e+03  8.4e-03  0.02  \n",
      "6   1.4e+01  3.4e-03  3.7e+02  -3.93e-01  1.312034531e+02   -6.046570978e+03  3.4e-03  0.03  \n",
      "7   6.0e+00  1.4e-03  1.1e+02  2.31e-01   1.365709533e+02   -3.066050254e+03  1.4e-03  0.03  \n",
      "8   2.0e+00  4.9e-04  2.2e+01  7.34e-01   1.153388991e+02   -1.028583648e+03  4.9e-04  0.03  \n",
      "9   1.0e+00  2.5e-04  8.0e+00  1.05e+00   9.017176875e+00   -5.562996663e+02  2.5e-04  0.03  \n",
      "10  4.8e-01  1.2e-04  2.5e+00  1.06e+00   1.308399010e+02   -1.189870195e+02  1.2e-04  0.03  \n",
      "11  4.8e-02  1.2e-05  7.9e-02  1.05e+00   9.454028958e+00   -1.487644015e+01  1.2e-05  0.04  \n",
      "12  4.5e-05  1.1e-08  2.1e-06  1.01e+00   8.745839607e-03   -1.382372807e-02  1.1e-08  0.04  \n",
      "13  2.2e-08  5.3e-12  2.3e-11  1.00e+00   4.270417569e-06   -6.749848440e-06  5.3e-12  0.04  \n",
      "14  3.1e-11  3.5e-18  2.6e-19  1.00e+00   4.001486995e-14   -8.498184262e-14  6.0e-20  0.04  \n",
      "Optimizer terminated. Time: 0.04    \n",
      "\n",
      "[2388.542176986806, 410.7482634561361, -319.85907833063993, -12.914609485950448, -38.50384833934139, 10.277985779034458, 7.599851955064458]\n",
      "N: 94\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2600            \n",
      "  Cones                  : 371             \n",
      "  Scalar variables       : 2689            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 91\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.01            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2600            \n",
      "  Cones                  : 371             \n",
      "  Scalar variables       : 2689            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 1286\n",
      "Optimizer  - Cones                  : 369\n",
      "Optimizer  - Scalar variables       : 2020              conic                  : 1561            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 2.80e+04          after factor           : 4.27e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 3.35e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   4.1e+03  1.0e+00  1.2e+04  0.00e+00   1.000000000e+00   -1.232707641e+04  1.0e+00  0.01  \n",
      "1   2.7e+03  6.6e-01  1.0e+04  -9.99e-01  1.510692528e+00   -1.232130225e+04  6.6e-01  0.02  \n",
      "2   1.1e+03  2.7e-01  6.4e+03  -9.97e-01  3.951137527e+00   -1.227809820e+04  2.7e-01  0.02  \n",
      "3   2.8e+02  6.7e-02  3.1e+03  -9.89e-01  1.785695345e+01   -1.202044220e+04  6.7e-02  0.02  \n",
      "4   9.0e+01  2.2e-02  1.7e+03  -9.42e-01  5.298560211e+01   -1.119944097e+04  2.2e-02  0.02  \n",
      "5   3.3e+01  8.0e-03  8.5e+02  -7.90e-01  1.041560892e+02   -9.096854765e+03  8.0e-03  0.02  \n",
      "6   1.4e+01  3.4e-03  3.6e+02  -3.58e-01  1.281628228e+02   -5.946706287e+03  3.4e-03  0.03  \n",
      "7   5.9e+00  1.4e-03  1.1e+02  2.40e-01   1.341886449e+02   -2.978827534e+03  1.4e-03  0.03  \n",
      "8   2.0e+00  4.8e-04  2.1e+01  7.44e-01   1.120153074e+02   -9.899056037e+02  4.8e-04  0.03  \n",
      "9   1.1e+00  2.6e-04  8.1e+00  1.05e+00   8.422587255e+00   -5.594755094e+02  2.6e-04  0.03  \n",
      "10  4.7e-01  1.1e-04  2.4e+00  1.07e+00   1.228136866e+02   -1.165637805e+02  1.1e-04  0.03  \n",
      "11  4.3e-02  1.0e-05  6.6e-02  1.05e+00   8.086432614e+00   -1.329914800e+01  1.0e-05  0.04  \n",
      "12  2.9e-05  6.9e-09  1.1e-06  1.01e+00   5.337379879e-03   -8.836464858e-03  6.9e-09  0.04  \n",
      "13  1.4e-08  3.4e-12  1.1e-11  1.00e+00   2.606137459e-06   -4.314671746e-06  3.4e-12  0.04  \n",
      "14  1.7e-11  4.5e-17  8.0e-20  1.00e+00   1.531574284e-14   -3.348236937e-14  2.4e-20  0.04  \n",
      "Optimizer terminated. Time: 0.04    \n",
      "\n",
      "[2381.7212944311404, 391.68282970913054, -314.6884307404615, -14.36891250929591, -37.75787007695455, 10.404601437365054, 7.599323780689907]\n",
      "N: 93\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2572            \n",
      "  Cones                  : 367             \n",
      "  Scalar variables       : 2660            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 90\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.01            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2572            \n",
      "  Cones                  : 367             \n",
      "  Scalar variables       : 2660            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 1272\n",
      "Optimizer  - Cones                  : 365\n",
      "Optimizer  - Scalar variables       : 1998              conic                  : 1544            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 2.75e+04          after factor           : 4.19e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 3.25e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   4.1e+03  1.0e+00  1.2e+04  0.00e+00   1.000000000e+00   -1.222526229e+04  1.0e+00  0.01  \n",
      "1   2.7e+03  6.6e-01  9.9e+03  -9.99e-01  1.513545811e+00   -1.221949053e+04  6.6e-01  0.02  \n",
      "2   1.1e+03  2.7e-01  6.3e+03  -9.97e-01  3.964764600e+00   -1.217600664e+04  2.7e-01  0.02  \n",
      "3   2.7e+02  6.6e-02  3.1e+03  -9.89e-01  1.787590789e+01   -1.191592257e+04  6.6e-02  0.02  \n",
      "4   8.8e+01  2.1e-02  1.6e+03  -9.41e-01  5.314144040e+01   -1.107670198e+04  2.1e-02  0.02  \n",
      "5   3.1e+01  7.6e-03  8.1e+02  -7.82e-01  1.051118293e+02   -8.846608892e+03  7.6e-03  0.02  \n",
      "6   1.4e+01  3.3e-03  3.4e+02  -3.21e-01  1.257442107e+02   -5.798159863e+03  3.3e-03  0.03  \n",
      "7   5.8e+00  1.4e-03  1.1e+02  2.58e-01   1.317467937e+02   -2.883162075e+03  1.4e-03  0.03  \n",
      "8   1.9e+00  4.6e-04  1.9e+01  7.55e-01   1.079765654e+02   -9.257848491e+02  4.6e-04  0.03  \n",
      "9   1.1e+00  2.6e-04  8.2e+00  1.06e+00   7.786566962e+00   -5.630061515e+02  2.6e-04  0.03  \n",
      "10  4.5e-01  1.1e-04  2.2e+00  1.07e+00   1.145461540e+02   -1.140232714e+02  1.1e-04  0.03  \n",
      "11  3.8e-02  9.1e-06  5.3e-02  1.05e+00   6.710190725e+00   -1.171679228e+01  9.1e-06  0.03  \n",
      "12  1.7e-05  4.1e-09  4.7e-07  1.00e+00   2.973160796e-03   -5.247274534e-03  4.1e-09  0.04  \n",
      "13  8.2e-09  2.0e-12  5.0e-12  1.00e+00   1.451737435e-06   -2.562143592e-06  2.0e-12  0.04  \n",
      "14  1.6e-11  2.9e-17  2.2e-20  1.00e+00   5.176161801e-15   -1.223550668e-14  8.6e-21  0.04  \n",
      "Optimizer terminated. Time: 0.04    \n",
      "\n",
      "[2374.1737549267896, 372.9897946106895, -309.45660099495734, -15.821237307028543, -37.01425380260697, 10.522714410401829, 7.598793317910659]\n",
      "N: 92\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2544            \n",
      "  Cones                  : 363             \n",
      "  Scalar variables       : 2631            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 89\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.01            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2544            \n",
      "  Cones                  : 363             \n",
      "  Scalar variables       : 2631            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 1258\n",
      "Optimizer  - Cones                  : 361\n",
      "Optimizer  - Scalar variables       : 1976              conic                  : 1527            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 2.70e+04          after factor           : 4.13e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 3.18e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   4.1e+03  1.0e+00  1.2e+04  0.00e+00   1.000000000e+00   -1.212218957e+04  1.0e+00  0.01  \n",
      "1   2.7e+03  6.6e-01  9.8e+03  -9.99e-01  1.516420602e+00   -1.211641934e+04  6.6e-01  0.02  \n",
      "2   1.1e+03  2.6e-01  6.2e+03  -9.97e-01  3.978957808e+00   -1.207265536e+04  2.6e-01  0.02  \n",
      "3   2.7e+02  6.6e-02  3.0e+03  -9.88e-01  1.790297306e+01   -1.181002421e+04  6.6e-02  0.02  \n",
      "4   8.6e+01  2.1e-02  1.6e+03  -9.40e-01  5.331398170e+01   -1.095178651e+04  2.1e-02  0.02  \n",
      "5   3.0e+01  7.3e-03  7.7e+02  -7.74e-01  1.056652967e+02   -8.603685019e+03  7.3e-03  0.02  \n",
      "6   1.3e+01  3.2e-03  3.3e+02  -2.85e-01  1.239659074e+02   -5.605492741e+03  3.2e-03  0.02  \n",
      "7   5.5e+00  1.3e-03  9.7e+01  2.84e-01   1.296254173e+02   -2.726161006e+03  1.3e-03  0.03  \n",
      "8   1.7e+00  4.2e-04  1.6e+01  7.77e-01   1.017734341e+02   -8.225756463e+02  4.2e-04  0.03  \n",
      "9   1.1e+00  2.6e-04  8.0e+00  1.07e+00   7.006370406e+00   -5.551591720e+02  2.6e-04  0.03  \n",
      "10  3.1e-01  7.5e-05  1.3e+00  1.07e+00   6.496817027e+01   -8.807465237e+01  7.5e-05  0.03  \n",
      "11  8.1e-03  2.0e-06  5.1e-03  1.03e+00   1.079355654e+00   -2.878261926e+00  2.0e-06  0.03  \n",
      "12  4.0e-06  9.8e-10  5.6e-08  1.00e+00   5.345707070e-04   -1.426011349e-03  9.8e-10  0.03  \n",
      "13  1.6e-11  3.9e-15  2.2e-13  1.00e+00   2.841683142e-10   -7.528663195e-09  3.9e-15  0.04  \n",
      "Optimizer terminated. Time: 0.04    \n",
      "\n",
      "[2365.9007997005665, 354.662189963052, -304.1728640735425, -17.270575678523674, -36.29614842712223, 10.61223024868299, 7.598258397370493]\n",
      "N: 91\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2516            \n",
      "  Cones                  : 359             \n",
      "  Scalar variables       : 2602            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 88\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.01            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2516            \n",
      "  Cones                  : 359             \n",
      "  Scalar variables       : 2602            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 1244\n",
      "Optimizer  - Cones                  : 357\n",
      "Optimizer  - Scalar variables       : 1954              conic                  : 1510            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 2.65e+04          after factor           : 4.07e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 3.09e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   4.1e+03  1.0e+00  1.2e+04  0.00e+00   1.000000000e+00   -1.201786039e+04  1.0e+00  0.01  \n",
      "1   2.7e+03  6.6e-01  9.7e+03  -9.99e-01  1.519317367e+00   -1.201209082e+04  6.6e-01  0.01  \n",
      "2   1.1e+03  2.6e-01  6.1e+03  -9.97e-01  3.993635630e+00   -1.196804732e+04  2.6e-01  0.02  \n",
      "3   2.6e+02  6.5e-02  3.0e+03  -9.88e-01  1.793801411e+01   -1.170274963e+04  6.5e-02  0.02  \n",
      "4   8.4e+01  2.1e-02  1.6e+03  -9.39e-01  5.349930508e+01   -1.082477223e+04  2.1e-02  0.02  \n",
      "5   2.9e+01  7.0e-03  7.3e+02  -7.65e-01  1.061369497e+02   -8.355870702e+03  7.0e-03  0.02  \n",
      "6   1.3e+01  3.1e-03  3.0e+02  -2.47e-01  1.232240632e+02   -5.305245010e+03  3.1e-03  0.02  \n",
      "7   5.2e+00  1.3e-03  8.8e+01  3.31e-01   1.277696708e+02   -2.531388676e+03  1.3e-03  0.03  \n",
      "8   1.6e+00  3.9e-04  1.4e+01  8.05e-01   9.467895769e+01   -7.480057472e+02  3.9e-04  0.03  \n",
      "9   1.1e+00  2.6e-04  7.6e+00  1.07e+00   6.663921822e+00   -5.350861470e+02  2.6e-04  0.03  \n",
      "10  2.4e-01  5.8e-05  8.7e-01  1.07e+00   5.379841786e+01   -6.122166811e+01  5.8e-05  0.03  \n",
      "11  4.5e-03  1.1e-06  2.1e-03  1.03e+00   7.370962573e-01   -1.417566145e+00  1.1e-06  0.03  \n",
      "12  2.2e-06  5.4e-10  2.3e-08  1.00e+00   3.603624950e-04   -6.930283660e-04  5.4e-10  0.04  \n",
      "13  2.0e-11  9.9e-16  4.2e-14  1.00e+00   6.705028347e-11   -1.870019002e-09  9.9e-16  0.04  \n",
      "Optimizer terminated. Time: 0.04    \n",
      "\n",
      "[2356.903731931804, 336.69440199346013, -298.8451047182677, -18.71768744374421, -35.57498712724572, 10.698804133059074, 7.597720639854816]\n",
      "N: 90\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2488            \n",
      "  Cones                  : 355             \n",
      "  Scalar variables       : 2573            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 87\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.01            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2488            \n",
      "  Cones                  : 355             \n",
      "  Scalar variables       : 2573            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 1230\n",
      "Optimizer  - Cones                  : 353\n",
      "Optimizer  - Scalar variables       : 1932              conic                  : 1493            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 2.61e+04          after factor           : 4.01e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 3.01e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   4.1e+03  1.0e+00  1.2e+04  0.00e+00   1.000000000e+00   -1.191227701e+04  1.0e+00  0.01  \n",
      "1   2.7e+03  6.6e-01  9.6e+03  -9.99e-01  1.522236461e+00   -1.190650721e+04  6.6e-01  0.02  \n",
      "2   1.1e+03  2.6e-01  6.0e+03  -9.97e-01  4.010961115e+00   -1.186219052e+04  2.6e-01  0.02  \n",
      "3   2.6e+02  6.4e-02  2.9e+03  -9.88e-01  1.798319591e+01   -1.159414407e+04  6.4e-02  0.02  \n",
      "4   8.2e+01  2.0e-02  1.5e+03  -9.38e-01  5.370445603e+01   -1.069571045e+04  2.0e-02  0.02  \n",
      "5   2.7e+01  6.6e-03  7.0e+02  -7.56e-01  1.065731748e+02   -8.101567159e+03  6.6e-03  0.02  \n",
      "6   1.2e+01  2.9e-03  2.8e+02  -2.08e-01  1.218313592e+02   -5.064602927e+03  2.9e-03  0.02  \n",
      "7   4.9e+00  1.2e-03  7.9e+01  3.65e-01   1.255237504e+02   -2.356602244e+03  1.2e-03  0.03  \n",
      "8   1.4e+00  3.5e-04  1.2e+01  8.29e-01   8.623195148e+01   -6.483502410e+02  3.5e-04  0.03  \n",
      "9   9.9e-01  2.4e-04  6.8e+00  1.07e+00   6.240913907e+00   -4.944353437e+02  2.4e-04  0.03  \n",
      "10  1.9e-01  4.6e-05  6.2e-01  1.08e+00   3.896170862e+01   -5.096134839e+01  4.6e-05  0.03  \n",
      "11  1.3e-03  3.1e-07  3.0e-04  1.02e+00   1.605403138e-01   -4.338828109e-01  3.1e-07  0.03  \n",
      "12  1.2e-06  3.0e-10  9.1e-09  1.00e+00   1.567673080e-04   -4.236864556e-04  3.0e-10  0.03  \n",
      "13  2.2e-11  4.2e-16  1.3e-14  1.00e+00   2.892405732e-11   -7.864796848e-10  4.2e-16  0.04  \n",
      "Optimizer terminated. Time: 0.04    \n",
      "\n",
      "[2347.183826217644, 319.08486986910157, -293.47655812276497, -20.161927562984776, -34.86312511988456, 10.775379248909942, 7.59717892738281]\n",
      "N: 89\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2460            \n",
      "  Cones                  : 351             \n",
      "  Scalar variables       : 2544            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 86\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.01            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2460            \n",
      "  Cones                  : 351             \n",
      "  Scalar variables       : 2544            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 1216\n",
      "Optimizer  - Cones                  : 349\n",
      "Optimizer  - Scalar variables       : 1910              conic                  : 1476            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 2.56e+04          after factor           : 3.94e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 2.93e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   4.1e+03  1.0e+00  1.2e+04  0.00e+00   1.000000000e+00   -1.180544164e+04  1.0e+00  0.01  \n",
      "1   2.7e+03  6.6e-01  9.6e+03  -9.99e-01  1.525178307e+00   -1.179967070e+04  6.6e-01  0.02  \n",
      "2   1.0e+03  2.6e-01  6.0e+03  -9.97e-01  4.031801981e+00   -1.175508913e+04  2.6e-01  0.02  \n",
      "3   2.6e+02  6.3e-02  2.9e+03  -9.88e-01  1.803795356e+01   -1.148425953e+04  6.3e-02  0.02  \n",
      "4   8.0e+01  2.0e-02  1.5e+03  -9.36e-01  5.392998521e+01   -1.056468312e+04  2.0e-02  0.02  \n",
      "5   2.6e+01  6.3e-03  6.6e+02  -7.46e-01  1.069314706e+02   -7.843557554e+03  6.3e-03  0.02  \n",
      "6   1.2e+01  2.9e-03  2.7e+02  -1.67e-01  1.202636787e+02   -4.892324148e+03  2.9e-03  0.02  \n",
      "7   4.7e+00  1.2e-03  7.4e+01  3.87e-01   1.235868552e+02   -2.242754858e+03  1.2e-03  0.03  \n",
      "8   1.4e+00  3.4e-04  1.1e+01  8.44e-01   8.072315848e+01   -6.132294859e+02  3.4e-04  0.03  \n",
      "9   9.7e-01  2.4e-04  6.5e+00  1.07e+00   6.039939490e+00   -4.752657808e+02  2.4e-04  0.03  \n",
      "10  1.8e-01  4.4e-05  5.6e-01  1.08e+00   2.931814836e+01   -5.440089082e+01  4.4e-05  0.03  \n",
      "11  5.8e-04  1.4e-07  9.1e-05  1.02e+00   4.698773585e-02   -2.225230957e-01  1.4e-07  0.03  \n",
      "12  5.6e-07  1.4e-10  2.8e-09  1.00e+00   4.588406506e-05   -2.172963693e-04  1.4e-10  0.04  \n",
      "13  2.4e-11  5.7e-17  1.1e-15  1.00e+00   4.591600080e-12   -1.033659251e-10  5.7e-17  0.04  \n",
      "Optimizer terminated. Time: 0.04    \n",
      "\n",
      "[2336.74246918633, 301.82928295354037, -288.07237115835306, -21.603492800267926, -34.15920636607005, 10.841365642292228, 7.596633811422575]\n",
      "N: 88\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2432            \n",
      "  Cones                  : 347             \n",
      "  Scalar variables       : 2515            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 85\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.01            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2432            \n",
      "  Cones                  : 347             \n",
      "  Scalar variables       : 2515            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 1202\n",
      "Optimizer  - Cones                  : 345\n",
      "Optimizer  - Scalar variables       : 1888              conic                  : 1459            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 2.51e+04          after factor           : 3.86e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 2.83e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   4.0e+03  1.0e+00  1.2e+04  0.00e+00   1.000000000e+00   -1.169735668e+04  1.0e+00  0.01  \n",
      "1   2.6e+03  6.5e-01  9.5e+03  -9.99e-01  1.528143312e+00   -1.169158367e+04  6.5e-01  0.01  \n",
      "2   1.0e+03  2.5e-01  5.9e+03  -9.97e-01  4.052848636e+00   -1.164673809e+04  2.5e-01  0.02  \n",
      "3   2.5e+02  6.2e-02  2.8e+03  -9.88e-01  1.809981777e+01   -1.137301331e+04  6.2e-02  0.02  \n",
      "4   7.8e+01  1.9e-02  1.5e+03  -9.35e-01  5.417148126e+01   -1.043136962e+04  1.9e-02  0.02  \n",
      "5   2.4e+01  6.0e-03  6.3e+02  -7.36e-01  1.072188323e+02   -7.580918745e+03  6.0e-03  0.02  \n",
      "6   1.1e+01  2.8e-03  2.5e+02  -1.26e-01  1.191627382e+02   -4.691768243e+03  2.8e-03  0.02  \n",
      "7   4.5e+00  1.1e-03  6.7e+01  4.16e-01   1.218567993e+02   -2.084601020e+03  1.1e-03  0.02  \n",
      "8   1.2e+00  3.0e-04  9.1e+00  8.67e-01   7.177626219e+01   -5.346709736e+02  3.0e-04  0.03  \n",
      "9   8.7e-01  2.2e-04  5.5e+00  1.07e+00   5.749563288e+00   -4.193773576e+02  2.2e-04  0.03  \n",
      "10  1.5e-01  3.6e-05  4.1e-01  1.08e+00   1.554092330e+01   -5.192572274e+01  3.6e-05  0.03  \n",
      "11  2.1e-04  5.2e-08  2.0e-05  1.02e+00   2.326806057e-02   -7.369643213e-02  5.2e-08  0.03  \n",
      "12  2.1e-07  5.1e-11  6.0e-10  1.00e+00   2.272232256e-05   -7.196792698e-05  5.1e-11  0.03  \n",
      "13  2.2e-11  2.7e-17  7.1e-17  1.00e+00   1.956464477e-12   -9.220623659e-12  6.0e-18  0.04  \n",
      "Optimizer terminated. Time: 0.04    \n",
      "\n",
      "[2325.581155515095, 284.92389143854365, -282.63789878373944, -23.041754200785604, -33.4623435996037, 10.896520919572078, 7.596084975914017]\n",
      "N: 87\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2404            \n",
      "  Cones                  : 343             \n",
      "  Scalar variables       : 2486            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 84\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.01            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2404            \n",
      "  Cones                  : 343             \n",
      "  Scalar variables       : 2486            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 1188\n",
      "Optimizer  - Cones                  : 341\n",
      "Optimizer  - Scalar variables       : 1866              conic                  : 1442            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 2.47e+04          after factor           : 3.80e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 2.75e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   4.0e+03  1.0e+00  1.2e+04  0.00e+00   1.000000000e+00   -1.158802472e+04  1.0e+00  0.01  \n",
      "1   2.6e+03  6.5e-01  9.4e+03  -9.99e-01  1.531131983e+00   -1.158224870e+04  6.5e-01  0.01  \n",
      "2   1.0e+03  2.5e-01  5.8e+03  -9.97e-01  4.074046322e+00   -1.153714051e+04  2.5e-01  0.02  \n",
      "3   2.5e+02  6.1e-02  2.8e+03  -9.88e-01  1.816945690e+01   -1.126039816e+04  6.1e-02  0.02  \n",
      "4   7.6e+01  1.9e-02  1.4e+03  -9.33e-01  5.442306955e+01   -1.029588260e+04  1.9e-02  0.02  \n",
      "5   2.3e+01  5.8e-03  6.0e+02  -7.26e-01  1.074150982e+02   -7.315691519e+03  5.8e-03  0.02  \n",
      "6   1.1e+01  2.6e-03  2.3e+02  -8.31e-02  1.186244367e+02   -4.401952710e+03  2.6e-03  0.02  \n",
      "7   4.1e+00  1.0e-03  5.8e+01  4.61e-01   1.198104218e+02   -1.878014652e+03  1.0e-03  0.02  \n",
      "8   1.1e+00  2.7e-04  7.5e+00  8.99e-01   5.889223547e+01   -4.693874435e+02  2.7e-04  0.03  \n",
      "9   6.9e-01  1.7e-04  3.8e+00  1.06e+00   5.198279603e+00   -3.207382450e+02  1.7e-04  0.03  \n",
      "10  6.0e-02  1.5e-05  1.0e-01  1.07e+00   2.381615910e+00   -2.475889161e+01  1.5e-05  0.03  \n",
      "11  3.5e-05  8.6e-09  1.4e-06  1.01e+00   1.436723013e-03   -1.434161851e-02  8.6e-09  0.03  \n",
      "12  3.4e-08  8.4e-12  4.3e-11  1.00e+00   1.403045581e-06   -1.400544455e-05  8.4e-12  0.03  \n",
      "13  2.2e-11  5.5e-17  8.7e-19  1.00e+00   1.435001972e-14   -2.996544908e-13  1.7e-19  0.03  \n",
      "Optimizer terminated. Time: 0.03    \n",
      "\n",
      "[2313.7015821552272, 268.3652836590559, -277.17825899648307, -24.47653162778096, -32.77207150298125, 10.942035320755354, 7.5955334747388035]\n",
      "N: 86\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2376            \n",
      "  Cones                  : 339             \n",
      "  Scalar variables       : 2457            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 83\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.01            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2376            \n",
      "  Cones                  : 339             \n",
      "  Scalar variables       : 2457            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 1174\n",
      "Optimizer  - Cones                  : 337\n",
      "Optimizer  - Scalar variables       : 1844              conic                  : 1425            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 2.42e+04          after factor           : 3.74e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 2.67e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   4.0e+03  1.0e+00  1.1e+04  0.00e+00   1.000000000e+00   -1.147744869e+04  1.0e+00  0.01  \n",
      "1   2.6e+03  6.5e-01  9.3e+03  -9.99e-01  1.534144764e+00   -1.147166871e+04  6.5e-01  0.01  \n",
      "2   1.0e+03  2.5e-01  5.7e+03  -9.97e-01  4.095341280e+00   -1.142629977e+04  2.5e-01  0.02  \n",
      "3   2.4e+02  6.0e-02  2.7e+03  -9.88e-01  1.824677138e+01   -1.114641645e+04  6.0e-02  0.02  \n",
      "4   7.4e+01  1.9e-02  1.4e+03  -9.32e-01  5.469191716e+01   -1.015798009e+04  1.9e-02  0.02  \n",
      "5   2.2e+01  5.5e-03  5.7e+02  -7.14e-01  1.074360632e+02   -7.054322819e+03  5.5e-03  0.02  \n",
      "6   1.0e+01  2.5e-03  2.2e+02  -4.10e-02  1.179667934e+02   -4.197662150e+03  2.5e-03  0.02  \n",
      "7   3.9e+00  9.7e-04  5.3e+01  4.90e-01   1.181273375e+02   -1.762534386e+03  9.7e-04  0.02  \n",
      "8   9.6e-01  2.4e-04  6.1e+00  9.15e-01   4.926702620e+01   -4.096884759e+02  2.4e-04  0.03  \n",
      "9   5.1e-01  1.3e-04  2.4e+00  1.06e+00   2.421179528e+01   -2.126650972e+02  1.3e-04  0.03  \n",
      "10  8.6e-03  2.1e-06  4.5e-03  1.05e+00   3.239642068e-01   -3.549035713e+00  2.1e-06  0.03  \n",
      "11  8.4e-06  2.1e-09  1.4e-07  1.00e+00   3.175937970e-04   -3.477131791e-03  2.1e-09  0.03  \n",
      "12  8.2e-09  2.1e-12  4.2e-12  1.00e+00   3.101498808e-07   -3.395633079e-06  2.1e-12  0.03  \n",
      "13  2.1e-11  1.7e-18  3.8e-20  1.00e+00   1.537583176e-15   -3.157176247e-14  1.8e-20  0.03  \n",
      "Optimizer terminated. Time: 0.03    \n",
      "\n",
      "[2301.1053938652353, 252.15077656048183, -271.6975038011757, -25.90821396724473, -32.08594093764508, 10.980982569340588, 7.594980022033581]\n",
      "N: 85\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2348            \n",
      "  Cones                  : 335             \n",
      "  Scalar variables       : 2428            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 82\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.01            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2348            \n",
      "  Cones                  : 335             \n",
      "  Scalar variables       : 2428            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 1160\n",
      "Optimizer  - Cones                  : 333\n",
      "Optimizer  - Scalar variables       : 1822              conic                  : 1408            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 2.37e+04          after factor           : 3.68e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 2.62e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   4.0e+03  1.0e+00  1.1e+04  0.00e+00   1.000000000e+00   -1.136563146e+04  1.0e+00  0.01  \n",
      "1   2.6e+03  6.5e-01  9.2e+03  -9.99e-01  1.537182009e+00   -1.135984653e+04  6.5e-01  0.01  \n",
      "2   9.9e+02  2.5e-01  5.6e+03  -9.97e-01  4.116679543e+00   -1.131421920e+04  2.5e-01  0.02  \n",
      "3   2.4e+02  6.0e-02  2.7e+03  -9.87e-01  1.833144787e+01   -1.103106878e+04  6.0e-02  0.02  \n",
      "4   7.2e+01  1.8e-02  1.4e+03  -9.30e-01  5.497029611e+01   -1.001783739e+04  1.8e-02  0.02  \n",
      "5   2.1e+01  5.4e-03  5.4e+02  -7.03e-01  1.066278738e+02   -6.839722347e+03  5.4e-03  0.02  \n",
      "6   9.6e+00  2.4e-03  2.0e+02  -9.66e-03  1.175127134e+02   -3.952676269e+03  2.4e-03  0.02  \n",
      "7   3.5e+00  8.9e-04  4.6e+01  5.27e-01   1.159222871e+02   -1.579486749e+03  8.9e-04  0.02  \n",
      "8   8.4e-01  2.1e-04  5.0e+00  9.43e-01   3.327725544e+01   -3.603454171e+02  2.1e-04  0.03  \n",
      "9   5.7e-01  1.4e-04  2.7e+00  1.05e+00   6.277906370e+01   -1.962129447e+02  1.4e-04  0.03  \n",
      "10  3.4e-02  8.6e-06  3.8e-02  1.05e+00   2.744637688e+00   -1.240946066e+01  8.6e-06  0.03  \n",
      "11  3.6e-05  9.0e-09  1.3e-06  1.01e+00   2.845680078e-03   -1.294267494e-02  9.0e-09  0.03  \n",
      "12  7.0e-08  1.8e-11  1.1e-10  1.00e+00   5.557952475e-06   -2.527858728e-05  1.8e-11  0.03  \n",
      "13  1.1e-11  4.1e-17  4.6e-18  1.00e+00   1.774348809e-13   -1.140836211e-12  7.5e-19  0.03  \n",
      "Optimizer terminated. Time: 0.03    \n",
      "\n",
      "[2287.7942700045064, 236.2831355528578, -266.1946657665099, -27.33627374325234, -31.38460713499673, 11.030366614183018, 7.594423552287491]\n",
      "N: 84\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2320            \n",
      "  Cones                  : 331             \n",
      "  Scalar variables       : 2399            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 81\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.01            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2320            \n",
      "  Cones                  : 331             \n",
      "  Scalar variables       : 2399            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 1146\n",
      "Optimizer  - Cones                  : 329\n",
      "Optimizer  - Scalar variables       : 1800              conic                  : 1391            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 2.33e+04          after factor           : 3.60e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 2.52e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   4.0e+03  1.0e+00  1.1e+04  0.00e+00   1.000000000e+00   -1.125257591e+04  1.0e+00  0.01  \n",
      "1   2.6e+03  6.5e-01  9.1e+03  -9.99e-01  1.540244147e+00   -1.124678505e+04  6.5e-01  0.01  \n",
      "2   9.8e+02  2.5e-01  5.6e+03  -9.97e-01  4.138040254e+00   -1.120090156e+04  2.5e-01  0.02  \n",
      "3   2.3e+02  5.9e-02  2.7e+03  -9.87e-01  1.842376648e+01   -1.091435329e+04  5.9e-02  0.02  \n",
      "4   7.0e+01  1.8e-02  1.3e+03  -9.28e-01  5.526521730e+01   -9.875179861e+03  1.8e-02  0.02  \n",
      "5   2.2e+01  5.5e-03  5.4e+02  -6.90e-01  1.034792517e+02   -6.774568696e+03  5.5e-03  0.02  \n",
      "6   9.5e+00  2.4e-03  1.9e+02  -1.35e-02  1.160218525e+02   -3.885250872e+03  2.4e-03  0.02  \n",
      "7   3.6e+00  9.0e-04  4.5e+01  5.30e-01   1.145880865e+02   -1.556470897e+03  9.0e-04  0.02  \n",
      "8   8.4e-01  2.1e-04  4.9e+00  9.42e-01   3.183922471e+01   -3.540182034e+02  2.1e-04  0.03  \n",
      "9   5.5e-01  1.4e-04  2.6e+00  1.05e+00   7.101690378e+01   -1.753946360e+02  1.4e-04  0.03  \n",
      "10  2.7e-02  6.7e-06  2.5e-02  1.05e+00   1.386514110e+00   -1.022132269e+01  6.7e-06  0.03  \n",
      "11  5.3e-05  1.3e-08  2.2e-06  1.00e+00   2.750550654e-03   -2.028324887e-02  1.3e-08  0.03  \n",
      "12  1.0e-07  2.6e-11  1.9e-10  1.00e+00   5.372145915e-06   -3.961554843e-05  2.6e-11  0.03  \n",
      "13  1.6e-11  1.6e-17  1.3e-17  1.00e+00   1.771776253e-13   -2.800563617e-12  1.7e-18  0.03  \n",
      "Optimizer terminated. Time: 0.03    \n",
      "\n",
      "[2273.7698003843107, 220.76735456491633, -260.6670439185544, -28.76159695271924, -30.678500887413005, 11.08011780247655, 7.593864868769036]\n",
      "N: 83\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2292            \n",
      "  Cones                  : 327             \n",
      "  Scalar variables       : 2370            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 80\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.01            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2292            \n",
      "  Cones                  : 327             \n",
      "  Scalar variables       : 2370            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 1132\n",
      "Optimizer  - Cones                  : 325\n",
      "Optimizer  - Scalar variables       : 1778              conic                  : 1374            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 2.28e+04          after factor           : 3.54e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 2.44e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.9e+03  1.0e+00  1.1e+04  0.00e+00   1.000000000e+00   -1.113828482e+04  1.0e+00  0.01  \n",
      "1   2.5e+03  6.5e-01  9.0e+03  -9.99e-01  1.543331437e+00   -1.113248700e+04  6.5e-01  0.01  \n",
      "2   9.7e+02  2.5e-01  5.5e+03  -9.97e-01  4.159350391e+00   -1.108635032e+04  2.5e-01  0.02  \n",
      "3   2.3e+02  5.8e-02  2.6e+03  -9.87e-01  1.852107195e+01   -1.079632291e+04  5.8e-02  0.02  \n",
      "4   6.8e+01  1.7e-02  1.3e+03  -9.27e-01  5.559136993e+01   -9.729541371e+03  1.7e-02  0.02  \n",
      "5   2.2e+01  5.5e-03  5.3e+02  -6.77e-01  1.008600191e+02   -6.687612246e+03  5.5e-03  0.02  \n",
      "6   9.5e+00  2.4e-03  1.9e+02  -1.20e-02  1.146558727e+02   -3.809578087e+03  2.4e-03  0.02  \n",
      "7   3.5e+00  9.0e-04  4.4e+01  5.34e-01   1.132016128e+02   -1.520226442e+03  9.0e-04  0.02  \n",
      "8   8.3e-01  2.1e-04  4.7e+00  9.44e-01   2.903811839e+01   -3.445047262e+02  2.1e-04  0.03  \n",
      "9   5.1e-01  1.3e-04  2.3e+00  1.05e+00   9.335302477e+01   -1.295037569e+02  1.3e-04  0.03  \n",
      "10  4.0e-02  1.0e-05  4.8e-02  1.05e+00   3.260659922e+00   -1.397495882e+01  1.0e-05  0.03  \n",
      "11  4.7e-05  1.2e-08  1.9e-06  1.01e+00   3.793306049e-03   -1.626505942e-02  1.2e-08  0.03  \n",
      "12  9.2e-08  2.3e-11  1.6e-10  1.00e+00   7.408777921e-06   -3.176759584e-05  2.3e-11  0.03  \n",
      "13  1.4e-11  9.3e-17  8.7e-18  1.00e+00   3.978977190e-14   -2.073228790e-12  1.3e-18  0.03  \n",
      "Optimizer terminated. Time: 0.03    \n",
      "\n",
      "[2259.0333226717694, 205.6082161763149, -255.1126119886133, -30.18430595448025, -29.95803673370248, 11.137606881683501, 7.5933042876711045]\n",
      "N: 82\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2264            \n",
      "  Cones                  : 323             \n",
      "  Scalar variables       : 2341            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Eliminator started.\n",
      "Freed constraints in eliminator : 79\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.01            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2264            \n",
      "  Cones                  : 323             \n",
      "  Scalar variables       : 2341            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 1118\n",
      "Optimizer  - Cones                  : 321\n",
      "Optimizer  - Scalar variables       : 1756              conic                  : 1357            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 2.24e+04          after factor           : 3.48e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 2.37e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.9e+03  1.0e+00  1.1e+04  0.00e+00   1.000000000e+00   -1.102276049e+04  1.0e+00  0.01  \n",
      "1   2.5e+03  6.5e-01  8.9e+03  -9.99e-01  1.546444159e+00   -1.101695467e+04  6.5e-01  0.01  \n",
      "2   9.5e+02  2.4e-01  5.4e+03  -9.97e-01  4.180573898e+00   -1.097056787e+04  2.4e-01  0.01  \n",
      "3   2.2e+02  5.7e-02  2.6e+03  -9.87e-01  1.862484958e+01   -1.067694736e+04  5.7e-02  0.02  \n",
      "4   6.7e+01  1.7e-02  1.3e+03  -9.25e-01  5.557769564e+01   -9.591711702e+03  1.7e-02  0.02  \n",
      "5   2.2e+01  5.5e-03  5.2e+02  -6.65e-01  9.883200174e+01   -6.580969097e+03  5.5e-03  0.02  \n",
      "6   9.4e+00  2.4e-03  1.9e+02  -4.89e-03  1.134315134e+02   -3.716132387e+03  2.4e-03  0.02  \n",
      "7   3.4e+00  8.8e-04  4.2e+01  5.43e-01   1.115206420e+02   -1.458848462e+03  8.8e-04  0.02  \n",
      "8   7.9e-01  2.0e-04  4.3e+00  9.51e-01   2.314848236e+01   -3.282471499e+02  2.0e-04  0.02  \n",
      "9   4.5e-01  1.1e-04  1.8e+00  1.05e+00   1.470930626e+02   -4.337050021e+01  1.1e-04  0.03  \n",
      "10  6.0e-02  1.5e-05  8.9e-02  1.05e+00   1.233885035e+01   -1.241959833e+01  1.5e-05  0.03  \n",
      "11  2.4e-04  6.2e-08  2.3e-05  1.01e+00   4.743856255e-02   -5.355865179e-02  6.2e-08  0.03  \n",
      "12  2.4e-07  6.1e-11  7.0e-10  1.00e+00   4.632617824e-05   -5.230275796e-05  6.1e-11  0.03  \n",
      "13  1.2e-11  3.1e-17  1.1e-16  1.00e+00   4.661900377e-12   -1.127603827e-11  9.8e-18  0.03  \n",
      "Optimizer terminated. Time: 0.03    \n",
      "\n",
      "[2243.5858492296616, 190.82734677192138, -249.51887716975176, -31.605579075218962, -29.165424788182733, 11.237329054036657, 7.592744041223936]\n",
      "N: 81\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2236            \n",
      "  Cones                  : 319             \n",
      "  Scalar variables       : 2312            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 78\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.01            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2236            \n",
      "  Cones                  : 319             \n",
      "  Scalar variables       : 2312            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 1104\n",
      "Optimizer  - Cones                  : 317\n",
      "Optimizer  - Scalar variables       : 1734              conic                  : 1340            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 2.20e+04          after factor           : 3.41e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 2.30e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.9e+03  1.0e+00  1.1e+04  0.00e+00   1.000000000e+00   -1.090600468e+04  1.0e+00  0.01  \n",
      "1   2.5e+03  6.4e-01  8.8e+03  -9.99e-01  1.549582385e+00   -1.090018979e+04  6.4e-01  0.01  \n",
      "2   9.4e+02  2.4e-01  5.3e+03  -9.97e-01  4.201738157e+00   -1.085355485e+04  2.4e-01  0.01  \n",
      "3   2.2e+02  5.6e-02  2.5e+03  -9.87e-01  1.873519888e+01   -1.055622608e+04  5.6e-02  0.02  \n",
      "4   6.6e+01  1.7e-02  1.3e+03  -9.23e-01  5.521069433e+01   -9.463038504e+03  1.7e-02  0.02  \n",
      "5   2.2e+01  5.5e-03  5.2e+02  -6.57e-01  9.708243065e+01   -6.465862779e+03  5.5e-03  0.02  \n",
      "6   9.2e+00  2.4e-03  1.8e+02  5.01e-03   1.119586460e+02   -3.597397035e+03  2.4e-03  0.02  \n",
      "7   3.3e+00  8.4e-04  3.8e+01  5.56e-01   1.087549379e+02   -1.364852326e+03  8.4e-04  0.02  \n",
      "8   8.3e-01  2.1e-04  4.6e+00  9.64e-01   1.560569894e+01   -3.464050287e+02  2.1e-04  0.02  \n",
      "9   4.6e-01  1.2e-04  1.9e+00  1.06e+00   1.500614040e+02   -4.240875306e+01  1.2e-04  0.03  \n",
      "10  6.6e-02  1.7e-05  1.0e-01  1.05e+00   1.476532122e+01   -1.216026550e+01  1.7e-05  0.03  \n",
      "11  3.9e-04  1.0e-07  4.7e-05  1.00e+00   7.909867905e-02   -8.196600004e-02  1.0e-07  0.03  \n",
      "12  1.9e-07  5.0e-11  5.1e-10  1.00e+00   3.862176498e-05   -4.002180269e-05  5.0e-11  0.03  \n",
      "13  1.5e-11  1.4e-16  7.0e-17  1.00e+00   3.406691617e-12   -7.377244079e-12  6.8e-18  0.03  \n",
      "Optimizer terminated. Time: 0.03    \n",
      "\n",
      "[2227.428548619212, 176.44470745858263, -243.8767099199494, -33.02361454319695, -28.36511642913555, 11.331336573095165, 7.592181407658887]\n",
      "N: 80\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2208            \n",
      "  Cones                  : 315             \n",
      "  Scalar variables       : 2283            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 77\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.01            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2208            \n",
      "  Cones                  : 315             \n",
      "  Scalar variables       : 2283            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 1090\n",
      "Optimizer  - Cones                  : 313\n",
      "Optimizer  - Scalar variables       : 1712              conic                  : 1323            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 2.15e+04          after factor           : 3.35e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 2.23e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.9e+03  1.0e+00  1.1e+04  0.00e+00   1.000000000e+00   -1.078801942e+04  1.0e+00  0.01  \n",
      "1   2.5e+03  6.4e-01  8.7e+03  -9.99e-01  1.552746615e+00   -1.078219436e+04  6.4e-01  0.01  \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2   9.3e+02  2.4e-01  5.3e+03  -9.97e-01  4.222760085e+00   -1.073531434e+04  2.4e-01  0.01  \n",
      "3   2.1e+02  5.6e-02  2.5e+03  -9.87e-01  1.885236544e+01   -1.043415122e+04  5.6e-02  0.02  \n",
      "4   6.5e+01  1.7e-02  1.2e+03  -9.21e-01  5.488785200e+01   -9.331793465e+03  1.7e-02  0.02  \n",
      "5   2.1e+01  5.5e-03  5.0e+02  -6.48e-01  9.557409315e+01   -6.338174604e+03  5.5e-03  0.02  \n",
      "6   9.0e+00  2.3e-03  1.7e+02  1.78e-02   1.105879491e+02   -3.457982775e+03  2.3e-03  0.02  \n",
      "7   3.1e+00  8.2e-04  3.6e+01  5.74e-01   1.056620896e+02   -1.287894084e+03  8.2e-04  0.02  \n",
      "8   8.6e-01  2.2e-04  4.9e+00  9.74e-01   1.451681011e+01   -3.551320232e+02  2.2e-04  0.02  \n",
      "9   4.9e-01  1.3e-04  2.1e+00  1.05e+00   1.525242775e+02   -4.832102659e+01  1.3e-04  0.03  \n",
      "10  7.8e-02  2.0e-05  1.3e-01  1.05e+00   1.657361287e+01   -1.491600598e+01  2.0e-05  0.03  \n",
      "11  6.8e-04  1.8e-07  1.1e-04  1.01e+00   1.214132514e-01   -1.497019003e-01  1.8e-07  0.03  \n",
      "12  3.3e-07  8.5e-11  1.1e-09  1.00e+00   5.928180021e-05   -7.309415505e-05  8.5e-11  0.03  \n",
      "13  1.1e-11  6.5e-17  2.5e-16  1.00e+00   8.225065067e-12   -2.115644903e-11  1.9e-17  0.03  \n",
      "Optimizer terminated. Time: 0.03    \n",
      "\n",
      "[2210.5631125121226, 162.4651983334946, -238.18962584020804, -34.4381209307013, -27.552904109148496, 11.416996323698816, 7.591615493677729]\n",
      "N: 79\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2180            \n",
      "  Cones                  : 311             \n",
      "  Scalar variables       : 2254            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 76\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.01            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2180            \n",
      "  Cones                  : 311             \n",
      "  Scalar variables       : 2254            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 1076\n",
      "Optimizer  - Cones                  : 309\n",
      "Optimizer  - Scalar variables       : 1690              conic                  : 1306            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 2.11e+04          after factor           : 3.29e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 2.16e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.8e+03  1.0e+00  1.1e+04  0.00e+00   1.000000000e+00   -1.066880762e+04  1.0e+00  0.01  \n",
      "1   2.5e+03  6.4e-01  8.5e+03  -9.99e-01  1.555937137e+00   -1.066297129e+04  6.4e-01  0.01  \n",
      "2   9.1e+02  2.4e-01  5.2e+03  -9.97e-01  4.243579008e+00   -1.061584979e+04  2.4e-01  0.01  \n",
      "3   2.1e+02  5.5e-02  2.4e+03  -9.86e-01  1.897655394e+01   -1.031071524e+04  5.5e-02  0.02  \n",
      "4   6.4e+01  1.7e-02  1.2e+03  -9.19e-01  5.464198732e+01   -9.196730096e+03  1.7e-02  0.02  \n",
      "5   2.1e+01  5.5e-03  4.9e+02  -6.37e-01  9.452420545e+01   -6.179704590e+03  5.5e-03  0.02  \n",
      "6   8.8e+00  2.3e-03  1.6e+02  3.82e-02   1.091284034e+02   -3.338621558e+03  2.3e-03  0.02  \n",
      "7   3.0e+00  7.9e-04  3.3e+01  5.88e-01   1.026309709e+02   -1.218648304e+03  7.9e-04  0.02  \n",
      "8   9.5e-01  2.5e-04  5.6e+00  9.82e-01   1.155625131e+01   -3.875086888e+02  2.5e-04  0.02  \n",
      "9   5.0e-01  1.3e-04  2.1e+00  1.05e+00   1.358105463e+02   -6.746782877e+01  1.3e-04  0.03  \n",
      "10  7.1e-02  1.8e-05  1.1e-01  1.05e+00   1.377994540e+01   -1.421868582e+01  1.8e-05  0.03  \n",
      "11  3.9e-04  1.0e-07  4.6e-05  1.01e+00   6.993768410e-02   -8.638744018e-02  1.0e-07  0.03  \n",
      "12  1.9e-07  5.0e-11  5.0e-10  1.00e+00   3.414860950e-05   -4.218056518e-05  5.0e-11  0.03  \n",
      "13  1.3e-11  3.7e-17  6.3e-17  1.00e+00   2.831787650e-12   -6.767955513e-12  6.3e-18  0.03  \n",
      "Optimizer terminated. Time: 0.03    \n",
      "\n",
      "[2192.9911493313284, 148.88724143864889, -232.46391662364863, -35.849723039262905, -26.758907610961764, 11.485837197278089, 7.591047385276828]\n",
      "N: 78\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2152            \n",
      "  Cones                  : 307             \n",
      "  Scalar variables       : 2225            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 75\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.01            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2152            \n",
      "  Cones                  : 307             \n",
      "  Scalar variables       : 2225            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 1062\n",
      "Optimizer  - Cones                  : 305\n",
      "Optimizer  - Scalar variables       : 1668              conic                  : 1289            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 2.07e+04          after factor           : 3.24e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 2.10e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.8e+03  1.0e+00  1.1e+04  0.00e+00   1.000000000e+00   -1.054837209e+04  1.0e+00  0.01  \n",
      "1   2.4e+03  6.4e-01  8.4e+03  -9.99e-01  1.559153939e+00   -1.054252332e+04  6.4e-01  0.01  \n",
      "2   9.0e+02  2.4e-01  5.1e+03  -9.97e-01  4.264093152e+00   -1.049516497e+04  2.4e-01  0.01  \n",
      "3   2.1e+02  5.4e-02  2.4e+03  -9.86e-01  1.910742399e+01   -1.018592422e+04  5.4e-02  0.02  \n",
      "4   6.3e+01  1.7e-02  1.2e+03  -9.16e-01  5.445825764e+01   -9.058231628e+03  1.7e-02  0.02  \n",
      "5   2.1e+01  5.5e-03  4.8e+02  -6.26e-01  9.297617375e+01   -6.065864934e+03  5.5e-03  0.02  \n",
      "6   8.7e+00  2.3e-03  1.6e+02  4.82e-02   1.075834601e+02   -3.258847096e+03  2.3e-03  0.02  \n",
      "7   2.9e+00  7.7e-04  3.1e+01  5.94e-01   1.000803412e+02   -1.161643670e+03  7.7e-04  0.02  \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8   1.0e+00  2.7e-04  6.2e+00  9.89e-01   9.817347479e+00   -4.127159506e+02  2.7e-04  0.02  \n",
      "9   5.1e-01  1.3e-04  2.2e+00  1.05e+00   1.227116394e+02   -8.052024714e+01  1.3e-04  0.03  \n",
      "10  6.5e-02  1.7e-05  9.8e-02  1.04e+00   1.161843855e+01   -1.374125526e+01  1.7e-05  0.03  \n",
      "11  2.5e-04  6.7e-08  2.3e-05  1.00e+00   4.263610080e-02   -5.603339521e-02  6.7e-08  0.03  \n",
      "12  1.2e-07  3.3e-11  2.5e-10  1.00e+00   2.081828005e-05   -2.735988753e-05  3.3e-11  0.03  \n",
      "13  7.9e-12  3.5e-17  1.9e-17  1.00e+00   1.069507816e-12   -2.571747586e-12  2.5e-18  0.03  \n",
      "Optimizer terminated. Time: 0.03    \n",
      "\n",
      "[2174.7142774571776, 135.7033514492931, -226.70689443599738, -37.25775583376218, -25.976636578817647, 11.542248257608447, 7.590476461205981]\n",
      "N: 77\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2124            \n",
      "  Cones                  : 303             \n",
      "  Scalar variables       : 2196            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 74\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.01            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2124            \n",
      "  Cones                  : 303             \n",
      "  Scalar variables       : 2196            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 1048\n",
      "Optimizer  - Cones                  : 301\n",
      "Optimizer  - Scalar variables       : 1646              conic                  : 1272            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 2.02e+04          after factor           : 3.17e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 2.03e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.8e+03  1.0e+00  1.0e+04  0.00e+00   1.000000000e+00   -1.042671562e+04  1.0e+00  0.01  \n",
      "1   2.4e+03  6.4e-01  8.3e+03  -9.99e-01  1.562397171e+00   -1.042085324e+04  6.4e-01  0.01  \n",
      "2   8.9e+02  2.4e-01  5.0e+03  -9.97e-01  4.284256833e+00   -1.037326287e+04  2.4e-01  0.01  \n",
      "3   2.0e+02  5.3e-02  2.3e+03  -9.86e-01  1.924110944e+01   -1.005985529e+04  5.3e-02  0.02  \n",
      "4   6.2e+01  1.6e-02  1.2e+03  -9.14e-01  5.435733052e+01   -8.915426063e+03  1.6e-02  0.02  \n",
      "5   2.1e+01  5.6e-03  4.8e+02  -6.14e-01  9.049668370e+01   -6.032047758e+03  5.6e-03  0.02  \n",
      "6   8.7e+00  2.3e-03  1.6e+02  3.88e-02   1.058844197e+02   -3.221821162e+03  2.3e-03  0.02  \n",
      "7   2.9e+00  7.8e-04  3.1e+01  5.92e-01   9.816238074e+01   -1.142089352e+03  7.8e-04  0.02  \n",
      "8   1.0e+00  2.8e-04  6.3e+00  9.89e-01   9.245143330e+00   -4.178577831e+02  2.8e-04  0.02  \n",
      "9   5.1e-01  1.4e-04  2.2e+00  1.05e+00   1.167971346e+02   -8.411934374e+01  1.4e-04  0.02  \n",
      "10  6.4e-02  1.7e-05  9.4e-02  1.04e+00   1.087405128e+01   -1.366427995e+01  1.7e-05  0.03  \n",
      "11  2.2e-04  5.9e-08  1.9e-05  1.00e+00   3.578515098e-02   -4.911806708e-02  5.9e-08  0.03  \n",
      "12  1.1e-07  2.9e-11  2.0e-10  1.00e+00   1.747313748e-05   -2.398332069e-05  2.9e-11  0.03  \n",
      "13  1.0e-11  1.8e-18  1.3e-17  1.00e+00   7.613128252e-13   -1.861622833e-12  1.8e-18  0.03  \n",
      "Optimizer terminated. Time: 0.03    \n",
      "\n",
      "[2155.734366696931, 122.90996443269157, -220.92372769819164, -38.66187861182409, -25.196895797683652, 11.590415408665013, 7.589902560494379]\n",
      "N: 76\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2096            \n",
      "  Cones                  : 299             \n",
      "  Scalar variables       : 2167            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 73\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.01            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2096            \n",
      "  Cones                  : 299             \n",
      "  Scalar variables       : 2167            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 1034\n",
      "Optimizer  - Cones                  : 297\n",
      "Optimizer  - Scalar variables       : 1624              conic                  : 1255            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.98e+04          after factor           : 3.11e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 1.97e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.7e+03  1.0e+00  1.0e+04  0.00e+00   1.000000000e+00   -1.030384145e+04  1.0e+00  0.01  \n",
      "1   2.4e+03  6.4e-01  8.2e+03  -9.99e-01  1.565666860e+00   -1.029796424e+04  6.4e-01  0.01  \n",
      "2   8.7e+02  2.3e-01  5.0e+03  -9.97e-01  4.304029904e+00   -1.025014675e+04  2.3e-01  0.01  \n",
      "3   2.0e+02  5.3e-02  2.3e+03  -9.86e-01  1.938187490e+01   -9.932421606e+03  5.3e-02  0.02  \n",
      "4   6.1e+01  1.6e-02  1.1e+03  -9.11e-01  5.432476168e+01   -8.768556017e+03  1.6e-02  0.02  \n",
      "5   2.2e+01  5.8e-03  4.8e+02  -6.01e-01  8.832253752e+01   -5.984035552e+03  5.8e-03  0.02  \n",
      "6   8.8e+00  2.3e-03  1.6e+02  3.25e-02   1.042627093e+02   -3.178514577e+03  2.3e-03  0.02  \n",
      "7   2.9e+00  7.8e-04  3.0e+01  5.91e-01   9.620060843e+01   -1.118274409e+03  7.8e-04  0.02  \n",
      "8   1.1e+00  2.9e-04  6.6e+00  9.89e-01   8.656662518e+00   -4.254787843e+02  2.9e-04  0.02  \n",
      "9   5.1e-01  1.4e-04  2.2e+00  1.05e+00   1.103434599e+02   -8.826527083e+01  1.4e-04  0.02  \n",
      "10  6.2e-02  1.7e-05  8.9e-02  1.04e+00   9.993069657e+00   -1.346875660e+01  1.7e-05  0.03  \n",
      "11  1.6e-04  4.3e-08  1.1e-05  1.00e+00   2.486766675e-02   -3.618650645e-02  4.3e-08  0.03  \n",
      "12  7.9e-08  2.1e-11  1.2e-10  1.00e+00   1.214245082e-05   -1.766924665e-05  2.1e-11  0.03  \n",
      "13  1.4e-11  4.4e-17  5.5e-18  1.00e+00   4.071971880e-13   -9.183554696e-13  9.4e-19  0.03  \n",
      "Optimizer terminated. Time: 0.03    \n",
      "\n",
      "[2136.0534043067546, 110.50549680764688, -215.1186427903053, -40.06196239570945, -24.420959093514035, 11.62992095407035, 7.589325494968252]\n",
      "N: 75\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2068            \n",
      "  Cones                  : 295             \n",
      "  Scalar variables       : 2138            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 72\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.01            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2068            \n",
      "  Cones                  : 295             \n",
      "  Scalar variables       : 2138            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 1020\n",
      "Optimizer  - Cones                  : 293\n",
      "Optimizer  - Scalar variables       : 1602              conic                  : 1238            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.94e+04          after factor           : 3.06e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 1.91e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.7e+03  1.0e+00  1.0e+04  0.00e+00   1.000000000e+00   -1.017975302e+04  1.0e+00  0.01  \n",
      "1   2.4e+03  6.4e-01  8.1e+03  -9.99e-01  1.568962882e+00   -1.017385974e+04  6.4e-01  0.01  \n",
      "2   8.6e+02  2.3e-01  4.9e+03  -9.97e-01  4.323359657e+00   -1.012582031e+04  2.3e-01  0.01  \n",
      "3   1.9e+02  5.2e-02  2.2e+03  -9.85e-01  1.952747693e+01   -9.803664605e+03  5.2e-02  0.01  \n",
      "4   5.9e+01  1.6e-02  1.1e+03  -9.08e-01  5.425629934e+01   -8.620904364e+03  1.6e-02  0.02  \n",
      "5   2.2e+01  5.9e-03  4.8e+02  -5.88e-01  8.654930184e+01   -5.916495096e+03  5.9e-03  0.02  \n",
      "6   8.8e+00  2.4e-03  1.5e+02  3.10e-02   1.027576460e+02   -3.123267970e+03  2.4e-03  0.02  \n",
      "7   2.9e+00  7.8e-04  2.9e+01  5.93e-01   9.410178931e+01   -1.086876109e+03  7.8e-04  0.02  \n",
      "8   1.1e+00  3.0e-04  6.9e+00  9.91e-01   8.031492996e+00   -4.368285395e+02  3.0e-04  0.02  \n",
      "9   5.2e-01  1.4e-04  2.1e+00  1.05e+00   1.030044233e+02   -9.303509513e+01  1.4e-04  0.02  \n",
      "10  5.9e-02  1.6e-05  8.2e-02  1.04e+00   8.955002019e+00   -1.309720970e+01  1.6e-05  0.03  \n",
      "11  1.0e-04  2.7e-08  5.5e-06  1.00e+00   1.478402580e-02   -2.299008119e-02  2.7e-08  0.03  \n",
      "12  4.9e-08  1.3e-11  6.0e-11  1.00e+00   7.218761908e-06   -1.122562497e-05  1.3e-11  0.03  \n",
      "13  1.2e-11  2.0e-17  1.6e-18  1.00e+00   1.573674802e-13   -3.273716551e-13  3.5e-19  0.03  \n",
      "Optimizer terminated. Time: 0.03    \n",
      "\n",
      "[2115.6734660685206, 98.48764795239848, -209.29607618238907, -41.45778206387421, -23.650420803689403, 11.660342231646332, 7.588744955884545]\n",
      "N: 74\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2040            \n",
      "  Cones                  : 291             \n",
      "  Scalar variables       : 2109            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 71\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2040            \n",
      "  Cones                  : 291             \n",
      "  Scalar variables       : 2109            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 1006\n",
      "Optimizer  - Cones                  : 289\n",
      "Optimizer  - Scalar variables       : 1580              conic                  : 1221            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.90e+04          after factor           : 3.00e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 1.86e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.7e+03  1.0e+00  1.0e+04  0.00e+00   1.000000000e+00   -1.005445394e+04  1.0e+00  0.01  \n",
      "1   2.3e+03  6.4e-01  8.0e+03  -9.99e-01  1.572284970e+00   -1.004854330e+04  6.4e-01  0.01  \n",
      "2   8.5e+02  2.3e-01  4.8e+03  -9.97e-01  4.342193958e+00   -1.000028735e+04  2.3e-01  0.01  \n",
      "3   1.9e+02  5.1e-02  2.2e+03  -9.85e-01  1.968029336e+01   -9.673535150e+03  5.1e-02  0.01  \n",
      "4   5.8e+01  1.6e-02  1.1e+03  -9.06e-01  5.429316865e+01   -8.467546223e+03  1.6e-02  0.02  \n",
      "5   2.2e+01  6.0e-03  4.7e+02  -5.73e-01  8.498797458e+01   -5.839062828e+03  6.0e-03  0.02  \n",
      "6   8.7e+00  2.4e-03  1.5e+02  3.16e-02   1.013156397e+02   -3.060546822e+03  2.4e-03  0.02  \n",
      "7   2.9e+00  7.8e-04  2.8e+01  5.96e-01   9.190499695e+01   -1.055042624e+03  7.8e-04  0.02  \n",
      "8   1.2e+00  3.2e-04  7.2e+00  9.93e-01   7.503199202e+00   -4.477961096e+02  3.2e-04  0.02  \n",
      "9   5.1e-01  1.4e-04  2.1e+00  1.05e+00   9.592285342e+01   -9.682858175e+01  1.4e-04  0.02  \n",
      "10  5.6e-02  1.5e-05  7.4e-02  1.04e+00   7.904645526e+00   -1.258054950e+01  1.5e-05  0.02  \n",
      "11  6.1e-05  1.7e-08  2.5e-06  1.00e+00   8.438900212e-03   -1.401624716e-02  1.7e-08  0.03  \n",
      "12  3.0e-08  8.2e-12  2.7e-11  1.00e+00   4.120549589e-06   -6.843858813e-06  8.2e-12  0.03  \n",
      "13  9.2e-12  2.0e-17  4.1e-19  1.00e+00   5.553572535e-14   -1.087763211e-13  1.2e-19  0.03  \n",
      "Optimizer terminated. Time: 0.03    \n",
      "\n",
      "[2094.5967244705726, 86.85377566163521, -203.46051511735504, -42.84917589187152, -22.885052921624116, 11.68189880444141, 7.588160677753926]\n",
      "N: 73\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2012            \n",
      "  Cones                  : 287             \n",
      "  Scalar variables       : 2080            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 70\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 2012            \n",
      "  Cones                  : 287             \n",
      "  Scalar variables       : 2080            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 992\n",
      "Optimizer  - Cones                  : 285\n",
      "Optimizer  - Scalar variables       : 1558              conic                  : 1204            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.86e+04          after factor           : 2.94e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 1.80e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.6e+03  1.0e+00  9.9e+03  0.00e+00   1.000000000e+00   -9.927947948e+03  1.0e+00  0.01  \n",
      "1   2.3e+03  6.3e-01  7.9e+03  -9.99e-01  1.575632652e+00   -9.922018643e+03  6.3e-01  0.01  \n",
      "2   8.4e+02  2.3e-01  4.7e+03  -9.97e-01  4.360484153e+00   -9.873551764e+03  2.3e-01  0.01  \n",
      "3   1.8e+02  5.1e-02  2.2e+03  -9.85e-01  1.983522247e+01   -9.542133660e+03  5.1e-02  0.01  \n",
      "4   5.6e+01  1.6e-02  1.1e+03  -9.03e-01  5.444586463e+01   -8.307858780e+03  1.6e-02  0.02  \n",
      "5   2.2e+01  6.0e-03  4.7e+02  -5.56e-01  8.368929787e+01   -5.749413483e+03  6.0e-03  0.02  \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6   8.7e+00  2.4e-03  1.5e+02  3.50e-02   9.995411598e+01   -2.988007073e+03  2.4e-03  0.02  \n",
      "7   2.8e+00  7.7e-04  2.7e+01  6.02e-01   8.953218179e+01   -1.015111996e+03  7.7e-04  0.02  \n",
      "8   1.2e+00  3.4e-04  7.6e+00  9.96e-01   6.986373484e+00   -4.609530999e+02  3.4e-04  0.02  \n",
      "9   5.1e-01  1.4e-04  2.1e+00  1.05e+00   8.831648252e+01   -1.001122846e+02  1.4e-04  0.02  \n",
      "10  5.0e-02  1.4e-05  6.1e-02  1.04e+00   6.422719172e+00   -1.150905269e+01  1.4e-05  0.03  \n",
      "11  2.9e-05  7.9e-09  7.8e-07  1.00e+00   3.689015317e-03   -6.686048791e-03  7.9e-09  0.03  \n",
      "12  1.4e-08  3.9e-12  8.4e-12  1.00e+00   1.801274005e-06   -3.264666810e-06  3.9e-12  0.03  \n",
      "13  9.0e-12  8.7e-18  5.8e-20  1.00e+00   1.235023562e-14   -2.289305531e-14  2.7e-20  0.03  \n",
      "Optimizer terminated. Time: 0.03    \n",
      "\n",
      "[2072.825432106121, 75.6012163124099, -197.61636817827025, -44.23598519065151, -22.12516912493924, 11.694685751071354, 7.587572293176855]\n",
      "N: 72\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1984            \n",
      "  Cones                  : 283             \n",
      "  Scalar variables       : 2051            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 69\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1984            \n",
      "  Cones                  : 283             \n",
      "  Scalar variables       : 2051            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 978\n",
      "Optimizer  - Cones                  : 281\n",
      "Optimizer  - Scalar variables       : 1536              conic                  : 1187            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.82e+04          after factor           : 2.87e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 1.72e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.6e+03  1.0e+00  9.8e+03  0.00e+00   1.000000000e+00   -9.800238964e+03  1.0e+00  0.01  \n",
      "1   2.3e+03  6.3e-01  7.8e+03  -9.99e-01  1.579005222e+00   -9.794289632e+03  6.3e-01  0.01  \n",
      "2   8.2e+02  2.3e-01  4.7e+03  -9.97e-01  4.378182494e+00   -9.745617540e+03  2.3e-01  0.01  \n",
      "3   1.8e+02  5.0e-02  2.1e+03  -9.85e-01  1.999452510e+01   -9.409410183e+03  5.0e-02  0.01  \n",
      "4   5.5e+01  1.5e-02  1.0e+03  -8.99e-01  5.473457522e+01   -8.140716249e+03  1.5e-02  0.01  \n",
      "5   2.2e+01  6.1e-03  4.6e+02  -5.37e-01  8.254943929e+01   -5.651919152e+03  6.1e-03  0.02  \n",
      "6   8.6e+00  2.4e-03  1.4e+02  3.99e-02   9.862372518e+01   -2.907996673e+03  2.4e-03  0.02  \n",
      "7   2.7e+00  7.6e-04  2.5e+01  6.09e-01   8.693422594e+01   -9.659358007e+02  7.6e-04  0.02  \n",
      "8   1.3e+00  3.5e-04  8.0e+00  1.00e+00   6.503304600e+00   -4.751328410e+02  3.5e-04  0.02  \n",
      "9   5.0e-01  1.4e-04  2.0e+00  1.05e+00   8.052154625e+01   -1.021450113e+02  1.4e-04  0.02  \n",
      "10  4.3e-02  1.2e-05  4.8e-02  1.04e+00   5.020492344e+00   -1.015267814e+01  1.2e-05  0.02  \n",
      "11  2.2e-05  6.2e-09  5.4e-07  1.00e+00   2.630885261e-03   -5.258201779e-03  6.2e-09  0.02  \n",
      "12  1.1e-08  3.0e-12  5.8e-12  1.00e+00   1.284610632e-06   -2.567478726e-06  3.0e-12  0.03  \n",
      "13  1.3e-11  4.3e-18  3.5e-20  1.00e+00   4.997855599e-15   -1.843077283e-14  1.8e-20  0.03  \n",
      "Optimizer terminated. Time: 0.03    \n",
      "\n",
      "[2050.3619385117463, 64.72711937759338, -191.7680120724564, -45.617980877110156, -21.371203353782615, 11.698735496408892, 7.586979263888374]\n",
      "N: 71\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1956            \n",
      "  Cones                  : 279             \n",
      "  Scalar variables       : 2022            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 68\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1956            \n",
      "  Cones                  : 279             \n",
      "  Scalar variables       : 2022            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 964\n",
      "Optimizer  - Cones                  : 277\n",
      "Optimizer  - Scalar variables       : 1514              conic                  : 1170            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.78e+04          after factor           : 2.82e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 1.67e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.6e+03  1.0e+00  9.7e+03  0.00e+00   1.000000000e+00   -9.671331051e+03  1.0e+00  0.01  \n",
      "1   2.2e+03  6.3e-01  7.7e+03  -9.99e-01  1.582401730e+00   -9.665360298e+03  6.3e-01  0.01  \n",
      "2   8.1e+02  2.3e-01  4.6e+03  -9.96e-01  4.395323315e+00   -9.616487577e+03  2.3e-01  0.01  \n",
      "3   1.8e+02  4.9e-02  2.1e+03  -9.84e-01  2.007197044e+01   -9.277233096e+03  4.9e-02  0.01  \n",
      "4   5.3e+01  1.5e-02  1.0e+03  -8.97e-01  5.498300701e+01   -7.974269333e+03  1.5e-02  0.01  \n",
      "5   2.2e+01  6.2e-03  4.6e+02  -5.18e-01  8.126262509e+01   -5.567909237e+03  6.2e-03  0.02  \n",
      "6   8.5e+00  2.4e-03  1.4e+02  4.11e-02   9.724838841e+01   -2.837091747e+03  2.4e-03  0.02  \n",
      "7   2.6e+00  7.4e-04  2.4e+01  6.14e-01   8.434130976e+01   -9.202537833e+02  7.4e-04  0.02  \n",
      "8   1.3e+00  3.7e-04  8.4e+00  1.01e+00   6.134340825e+00   -4.851708592e+02  3.7e-04  0.02  \n",
      "9   4.9e-01  1.4e-04  1.9e+00  1.05e+00   7.403610445e+01   -1.020961492e+02  1.4e-04  0.02  \n",
      "10  3.7e-02  1.0e-05  3.8e-02  1.04e+00   3.986754554e+00   -8.862151710e+00  1.0e-05  0.02  \n",
      "11  2.4e-05  6.7e-09  6.1e-07  1.00e+00   2.599139671e-03   -5.716740948e-03  6.7e-09  0.03  \n",
      "12  1.2e-08  3.3e-12  6.6e-12  1.00e+00   1.269110240e-06   -2.791375394e-06  3.3e-12  0.03  \n",
      "13  1.6e-11  3.6e-17  4.3e-20  1.00e+00   2.985317878e-15   -2.362723332e-14  2.1e-20  0.03  \n",
      "Optimizer terminated. Time: 0.03    \n",
      "\n",
      "[2027.2087098872148, 54.22870578563183, -185.919655712117, -46.99492536888507, -20.62243584324212, 11.694686791189213, 7.58638108830575]\n",
      "N: 70\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1928            \n",
      "  Cones                  : 275             \n",
      "  Scalar variables       : 1993            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 67\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1928            \n",
      "  Cones                  : 275             \n",
      "  Scalar variables       : 1993            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 950\n",
      "Optimizer  - Cones                  : 273\n",
      "Optimizer  - Scalar variables       : 1492              conic                  : 1153            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.74e+04          after factor           : 2.76e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 1.61e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.5e+03  1.0e+00  9.5e+03  0.00e+00   1.000000000e+00   -9.541228483e+03  1.0e+00  0.01  \n",
      "1   2.2e+03  6.3e-01  7.6e+03  -9.99e-01  1.585820961e+00   -9.535234873e+03  6.3e-01  0.01  \n",
      "2   8.0e+02  2.3e-01  4.5e+03  -9.96e-01  4.411805966e+00   -9.486166970e+03  2.3e-01  0.01  \n",
      "3   1.7e+02  4.9e-02  2.0e+03  -9.84e-01  2.003334141e+01   -9.146372917e+03  4.9e-02  0.01  \n",
      "4   5.2e+01  1.5e-02  9.9e+02  -8.94e-01  5.494414720e+01   -7.819037843e+03  1.5e-02  0.01  \n",
      "5   2.2e+01  6.3e-03  4.5e+02  -5.02e-01  8.028765994e+01   -5.468587362e+03  6.3e-03  0.02  \n",
      "6   8.4e+00  2.4e-03  1.3e+02  4.63e-02   9.599621170e+01   -2.752013809e+03  2.4e-03  0.02  \n",
      "7   2.5e+00  7.2e-04  2.3e+01  6.22e-01   8.144658597e+01   -8.734397706e+02  7.2e-04  0.02  \n",
      "8   1.4e+00  3.9e-04  8.6e+00  1.01e+00   5.805059756e+00   -4.918790434e+02  3.9e-04  0.02  \n",
      "9   4.8e-01  1.4e-04  1.8e+00  1.05e+00   6.767658824e+01   -9.987714879e+01  1.4e-04  0.02  \n",
      "10  3.0e-02  8.7e-06  2.8e-02  1.04e+00   3.076561186e+00   -7.425237413e+00  8.7e-06  0.02  \n",
      "11  1.7e-05  4.9e-09  3.8e-07  1.00e+00   1.761573046e-03   -4.214315840e-03  4.9e-09  0.02  \n",
      "12  8.5e-09  2.4e-12  4.1e-12  1.00e+00   8.601425453e-07   -2.057770112e-06  2.4e-12  0.03  \n",
      "13  6.9e-12  9.0e-17  1.9e-20  1.00e+00   9.976850677e-16   -1.277387483e-14  1.1e-20  0.03  \n",
      "Optimizer terminated. Time: 0.03    \n",
      "\n",
      "[2003.3684132497563, 44.10337988479737, -180.0753957524428, -48.36625298627004, -19.878852686039405, 11.682349915704261, 7.585777151925385]\n",
      "N: 69\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1900            \n",
      "  Cones                  : 271             \n",
      "  Scalar variables       : 1964            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 66\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1900            \n",
      "  Cones                  : 271             \n",
      "  Scalar variables       : 1964            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 936\n",
      "Optimizer  - Cones                  : 269\n",
      "Optimizer  - Scalar variables       : 1470              conic                  : 1136            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.70e+04          after factor           : 2.70e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 1.57e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.5e+03  1.0e+00  9.4e+03  0.00e+00   1.000000000e+00   -9.409935878e+03  1.0e+00  0.01  \n",
      "1   2.2e+03  6.3e-01  7.5e+03  -9.99e-01  1.589261559e+00   -9.403917931e+03  6.3e-01  0.01  \n",
      "2   7.8e+02  2.3e-01  4.4e+03  -9.96e-01  4.427575253e+00   -9.354660478e+03  2.3e-01  0.01  \n",
      "3   1.7e+02  4.9e-02  2.0e+03  -9.84e-01  1.999693147e+01   -9.014280284e+03  4.9e-02  0.01  \n",
      "4   5.1e+01  1.5e-02  9.6e+02  -8.92e-01  5.499035035e+01   -7.658628254e+03  1.5e-02  0.02  \n",
      "5   2.2e+01  6.3e-03  4.4e+02  -4.85e-01  7.943358423e+01   -5.360904445e+03  6.3e-03  0.02  \n",
      "6   8.2e+00  2.4e-03  1.3e+02  5.35e-02   9.479948314e+01   -2.657644796e+03  2.4e-03  0.02  \n",
      "7   2.4e+00  7.0e-04  2.1e+01  6.33e-01   7.822303004e+01   -8.221119191e+02  7.0e-04  0.02  \n",
      "8   1.4e+00  4.0e-04  8.8e+00  1.02e+00   5.494281750e+00   -4.948083298e+02  4.0e-04  0.02  \n",
      "9   4.6e-01  1.3e-04  1.7e+00  1.05e+00   6.143264320e+01   -9.579669539e+01  1.3e-04  0.02  \n",
      "10  2.4e-02  7.0e-06  2.0e-02  1.03e+00   2.311036321e+00   -5.975569112e+00  7.0e-06  0.02  \n",
      "11  1.3e-05  3.7e-09  2.4e-07  1.00e+00   1.210543202e-03   -3.112529303e-03  3.7e-09  0.03  \n",
      "12  1.2e-08  3.6e-12  7.3e-12  1.00e+00   1.182170314e-06   -3.039577532e-06  3.6e-12  0.03  \n",
      "13  1.4e-11  2.8e-17  4.8e-20  1.00e+00   9.465822890e-16   -2.675933215e-14  2.4e-20  0.03  \n",
      "Optimizer terminated. Time: 0.03    \n",
      "\n",
      "[1978.8439585971832, 34.348540321220675, -174.2393849215172, -49.731557487195964, -19.14049059560528, 11.661690298305528, 7.585166877989059]\n",
      "N: 68\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1872            \n",
      "  Cones                  : 267             \n",
      "  Scalar variables       : 1935            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 65\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1872            \n",
      "  Cones                  : 267             \n",
      "  Scalar variables       : 1935            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 922\n",
      "Optimizer  - Cones                  : 265\n",
      "Optimizer  - Scalar variables       : 1448              conic                  : 1119            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.66e+04          after factor           : 2.64e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 1.51e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.4e+03  1.0e+00  9.3e+03  0.00e+00   1.000000000e+00   -9.277458277e+03  1.0e+00  0.01  \n",
      "1   2.1e+03  6.3e-01  7.3e+03  -9.99e-01  1.592722045e+00   -9.271414466e+03  6.3e-01  0.01  \n",
      "2   7.7e+02  2.3e-01  4.4e+03  -9.96e-01  4.442593975e+00   -9.221972977e+03  2.3e-01  0.01  \n",
      "3   1.7e+02  4.9e-02  2.0e+03  -9.84e-01  1.996584404e+01   -8.880879576e+03  4.9e-02  0.01  \n",
      "4   5.0e+01  1.4e-02  9.4e+02  -8.90e-01  5.516747348e+01   -7.490882485e+03  1.4e-02  0.01  \n",
      "5   2.1e+01  6.2e-03  4.3e+02  -4.65e-01  8.033858818e+01   -5.202656149e+03  6.2e-03  0.02  \n",
      "6   8.1e+00  2.4e-03  1.2e+02  7.46e-02   9.396905541e+01   -2.571268304e+03  2.4e-03  0.02  \n",
      "7   2.3e+00  6.7e-04  1.9e+01  6.41e-01   7.516644503e+01   -7.599449051e+02  6.7e-04  0.02  \n",
      "8   1.4e+00  4.1e-04  8.8e+00  1.02e+00   5.132461664e+00   -4.919719635e+02  4.1e-04  0.02  \n",
      "9   2.6e-01  7.7e-05  7.7e-01  1.05e+00   3.146540349e+01   -5.768440842e+01  7.7e-05  0.02  \n",
      "10  3.0e-03  8.7e-07  8.2e-04  1.03e+00   2.432380079e-01   -7.494318880e-01  8.7e-07  0.02  \n",
      "11  2.9e-06  8.4e-10  2.5e-08  1.00e+00   2.375082016e-04   -7.317785660e-04  8.4e-10  0.02  \n",
      "12  1.2e-11  1.6e-15  4.9e-14  1.00e+00   4.977253279e-11   -1.844097071e-09  1.6e-15  0.03  \n",
      "Optimizer terminated. Time: 0.03    \n",
      "\n",
      "[1953.6386646366511, 24.95856579562651, -168.4161836800749, -51.08961040883508, -18.419392655790993, 11.631111630662527, 7.5845438825287905]\n",
      "N: 67\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1844            \n",
      "  Cones                  : 263             \n",
      "  Scalar variables       : 1906            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 64\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.01    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1844            \n",
      "  Cones                  : 263             \n",
      "  Scalar variables       : 1906            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 908\n",
      "Optimizer  - Cones                  : 261\n",
      "Optimizer  - Scalar variables       : 1426              conic                  : 1102            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.62e+04          after factor           : 2.59e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 1.46e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.4e+03  1.0e+00  9.1e+03  0.00e+00   1.000000000e+00   -9.143801427e+03  1.0e+00  0.01  \n",
      "1   2.1e+03  6.3e-01  7.2e+03  -9.99e-01  1.596201233e+00   -9.137730175e+03  6.3e-01  0.01  \n",
      "2   7.6e+02  2.2e-01  4.3e+03  -9.96e-01  4.456820357e+00   -9.088110188e+03  2.2e-01  0.01  \n",
      "3   1.7e+02  4.9e-02  2.0e+03  -9.83e-01  1.993750539e+01   -8.746218371e+03  4.9e-02  0.01  \n",
      "4   4.8e+01  1.4e-02  9.1e+02  -8.87e-01  5.549316617e+01   -7.314898310e+03  1.4e-02  0.01  \n",
      "5   2.1e+01  6.1e-03  4.1e+02  -4.43e-01  8.048376787e+01   -5.005488395e+03  6.1e-03  0.02  \n",
      "6   7.5e+00  2.2e-03  1.1e+02  1.04e-01   9.302552097e+01   -2.379143248e+03  2.2e-03  0.02  \n",
      "7   2.0e+00  6.1e-04  1.6e+01  6.74e-01   6.910247812e+01   -6.609024755e+02  6.1e-04  0.02  \n",
      "8   1.3e+00  3.9e-04  8.1e+00  1.03e+00   4.796377601e+00   -4.624351925e+02  3.9e-04  0.02  \n",
      "9   2.4e-01  7.1e-05  6.8e-01  1.06e+00   2.254799441e+01   -5.796888681e+01  7.1e-05  0.02  \n",
      "10  1.1e-03  3.2e-07  1.7e-04  1.02e+00   5.846756112e-02   -3.022723539e-01  3.2e-07  0.02  \n",
      "11  1.1e-06  3.2e-10  5.3e-09  1.00e+00   5.709115173e-05   -2.951564260e-04  3.2e-10  0.02  \n",
      "12  2.2e-11  2.4e-16  4.0e-15  1.00e+00   7.982196737e-12   -2.566653272e-10  2.4e-16  0.02  \n",
      "Optimizer terminated. Time: 0.03    \n",
      "\n",
      "[1927.7565057368272, 15.924267514960997, -162.61178017700348, -52.43901745965987, -17.717785770309295, 11.586499427102812, 7.583911157484285]\n",
      "N: 66\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1816            \n",
      "  Cones                  : 259             \n",
      "  Scalar variables       : 1877            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 63\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1816            \n",
      "  Cones                  : 259             \n",
      "  Scalar variables       : 1877            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 894\n",
      "Optimizer  - Cones                  : 257\n",
      "Optimizer  - Scalar variables       : 1404              conic                  : 1085            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.59e+04          after factor           : 2.54e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 1.41e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.3e+03  1.0e+00  9.0e+03  0.00e+00   1.000000000e+00   -9.008972213e+03  1.0e+00  0.01  \n",
      "1   2.1e+03  6.2e-01  7.1e+03  -9.99e-01  1.599698502e+00   -9.002871881e+03  6.2e-01  0.01  \n",
      "2   7.5e+02  2.2e-01  4.2e+03  -9.96e-01  4.470180727e+00   -8.953079590e+03  2.2e-01  0.01  \n",
      "3   1.6e+02  4.9e-02  1.9e+03  -9.83e-01  1.991549388e+01   -8.610213920e+03  4.9e-02  0.01  \n",
      "4   4.7e+01  1.4e-02  8.8e+02  -8.84e-01  5.576451493e+01   -7.138456284e+03  1.4e-02  0.01  \n",
      "5   2.1e+01  6.2e-03  4.0e+02  -4.21e-01  7.965138555e+01   -4.904523717e+03  6.2e-03  0.02  \n",
      "6   7.4e+00  2.2e-03  1.1e+02  1.09e-01   9.188909451e+01   -2.295906234e+03  2.2e-03  0.02  \n",
      "7   1.9e+00  5.8e-04  1.4e+01  6.84e-01   6.546508501e+01   -6.157163698e+02  5.8e-04  0.02  \n",
      "8   1.3e+00  3.9e-04  7.7e+00  1.04e+00   4.599286705e+00   -4.410877009e+02  3.9e-04  0.02  \n",
      "9   2.3e-01  6.8e-05  6.1e-01  1.06e+00   1.805798360e+01   -5.656121849e+01  6.8e-05  0.02  \n",
      "10  8.2e-04  2.5e-07  1.1e-04  1.02e+00   4.832746345e-02   -2.192906862e-01  2.5e-07  0.02  \n",
      "11  8.0e-07  2.4e-10  3.4e-09  1.00e+00   4.719068233e-05   -2.141324295e-04  2.4e-10  0.02  \n",
      "12  1.3e-11  1.2e-16  1.6e-15  1.00e+00   3.794317774e-12   -1.215850275e-10  1.2e-16  0.03  \n",
      "Optimizer terminated. Time: 0.03    \n",
      "\n",
      "[1901.2016445347838, 7.239187037771978, -156.83174850479153, -53.78041968793521, -17.022521564900593, 11.533624334062116, 7.5832699497035545]\n",
      "N: 65\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1788            \n",
      "  Cones                  : 255             \n",
      "  Scalar variables       : 1848            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 62\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1788            \n",
      "  Cones                  : 255             \n",
      "  Scalar variables       : 1848            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 880\n",
      "Optimizer  - Cones                  : 253\n",
      "Optimizer  - Scalar variables       : 1382              conic                  : 1068            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.55e+04          after factor           : 2.48e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 1.36e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.3e+03  1.0e+00  8.9e+03  0.00e+00   1.000000000e+00   -8.872977844e+03  1.0e+00  0.01  \n",
      "1   2.1e+03  6.2e-01  7.0e+03  -9.99e-01  1.603213558e+00   -8.866846714e+03  6.2e-01  0.01  \n",
      "2   7.3e+02  2.2e-01  4.2e+03  -9.96e-01  4.482677906e+00   -8.816887439e+03  2.2e-01  0.01  \n",
      "3   1.6e+02  4.9e-02  1.9e+03  -9.83e-01  1.990196705e+01   -8.472790330e+03  4.9e-02  0.01  \n",
      "4   4.5e+01  1.4e-02  8.5e+02  -8.81e-01  5.619019394e+01   -6.952608104e+03  1.4e-02  0.01  \n",
      "5   2.0e+01  6.1e-03  3.9e+02  -3.95e-01  7.819734021e+01   -4.768936740e+03  6.1e-03  0.01  \n",
      "6   7.0e+00  2.1e-03  1.0e+02  1.22e-01   9.049441551e+01   -2.162640192e+03  2.1e-03  0.02  \n",
      "7   1.7e+00  5.2e-04  1.2e+01  7.07e-01   5.942074478e+01   -5.350811741e+02  5.2e-04  0.02  \n",
      "8   1.2e+00  3.6e-04  6.6e+00  1.05e+00   4.316737462e+00   -3.971736955e+02  3.6e-04  0.02  \n",
      "9   2.0e-01  5.9e-05  4.8e-01  1.07e+00   1.134031149e+01   -5.126557876e+01  5.9e-05  0.02  \n",
      "10  4.8e-04  1.5e-07  5.1e-05  1.02e+00   2.772057818e-02   -1.266315552e-01  1.5e-07  0.02  \n",
      "11  4.7e-07  1.4e-10  1.6e-09  1.00e+00   2.706952100e-05   -1.236574341e-04  1.4e-10  0.02  \n",
      "12  1.4e-11  5.2e-17  4.2e-16  1.00e+00   4.430167351e-12   -3.596030864e-11  3.8e-17  0.02  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1873.9781523212325, -1.1004556619013768, -151.08074585509092, -55.11354160277654, -16.336034795170914, 11.470383374160727, 7.582621556593518]\n",
      "N: 64\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1760            \n",
      "  Cones                  : 251             \n",
      "  Scalar variables       : 1819            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 61\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1760            \n",
      "  Cones                  : 251             \n",
      "  Scalar variables       : 1819            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 866\n",
      "Optimizer  - Cones                  : 249\n",
      "Optimizer  - Scalar variables       : 1360              conic                  : 1051            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.51e+04          after factor           : 2.42e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 1.31e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.2e+03  1.0e+00  8.7e+03  0.00e+00   1.000000000e+00   -8.735825372e+03  1.0e+00  0.01  \n",
      "1   2.0e+03  6.2e-01  6.9e+03  -9.99e-01  1.606747625e+00   -8.729661626e+03  6.2e-01  0.01  \n",
      "2   7.2e+02  2.2e-01  4.1e+03  -9.96e-01  4.494321352e+00   -8.679539958e+03  2.2e-01  0.01  \n",
      "3   1.6e+02  4.9e-02  1.9e+03  -9.82e-01  1.988948897e+01   -8.334133192e+03  4.9e-02  0.01  \n",
      "4   4.3e+01  1.3e-02  8.2e+02  -8.78e-01  5.679130390e+01   -6.756478252e+03  1.3e-02  0.01  \n",
      "5   1.9e+01  6.0e-03  3.6e+02  -3.66e-01  7.861027982e+01   -4.554897396e+03  6.0e-03  0.01  \n",
      "6   6.6e+00  2.0e-03  8.9e+01  1.56e-01   8.929799137e+01   -1.993542725e+03  2.0e-03  0.02  \n",
      "7   1.5e+00  4.7e-04  9.6e+00  7.37e-01   5.184195741e+01   -4.661855608e+02  4.7e-04  0.02  \n",
      "8   1.0e+00  3.1e-04  5.2e+00  1.05e+00   4.040146874e+00   -3.352169195e+02  3.1e-04  0.02  \n",
      "9   1.4e-01  4.2e-05  2.8e-01  1.07e+00   4.203582621e+00   -3.920583982e+01  4.2e-05  0.02  \n",
      "10  1.4e-04  4.4e-08  8.2e-06  1.01e+00   4.504591402e-03   -4.067275102e-02  4.4e-08  0.02  \n",
      "11  1.4e-07  4.3e-11  2.5e-10  1.00e+00   4.398949491e-06   -3.971889161e-05  4.3e-11  0.02  \n",
      "12  1.2e-11  2.9e-17  2.3e-17  1.00e+00   2.939427936e-13   -3.678752255e-12  3.9e-18  0.02  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1846.0903836528946, -9.099084952252324, -145.3634454700421, -56.43752560573728, -15.658468063402477, 11.398815313158698, 7.581963481992298]\n",
      "N: 63\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1732            \n",
      "  Cones                  : 247             \n",
      "  Scalar variables       : 1790            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 60\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1732            \n",
      "  Cones                  : 247             \n",
      "  Scalar variables       : 1790            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 852\n",
      "Optimizer  - Cones                  : 245\n",
      "Optimizer  - Scalar variables       : 1338              conic                  : 1034            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.47e+04          after factor           : 2.37e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 1.26e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.2e+03  1.0e+00  8.6e+03  0.00e+00   1.000000000e+00   -8.597522340e+03  1.0e+00  0.01  \n",
      "1   2.0e+03  6.2e-01  6.8e+03  -9.99e-01  1.610303776e+00   -8.591324035e+03  6.2e-01  0.01  \n",
      "2   7.1e+02  2.2e-01  4.0e+03  -9.96e-01  4.505424439e+00   -8.541039203e+03  2.2e-01  0.01  \n",
      "3   1.6e+02  4.9e-02  1.8e+03  -9.82e-01  1.987688055e+01   -8.194287165e+03  4.9e-02  0.01  \n",
      "4   4.2e+01  1.3e-02  7.9e+02  -8.75e-01  5.726154025e+01   -6.563296529e+03  1.3e-02  0.01  \n",
      "5   1.8e+01  5.7e-03  3.4e+02  -3.39e-01  7.916329859e+01   -4.324100965e+03  5.7e-03  0.01  \n",
      "6   6.1e+00  1.9e-03  8.0e+01  1.94e-01   8.790447474e+01   -1.825401466e+03  1.9e-03  0.02  \n",
      "7   1.4e+00  4.2e-04  7.8e+00  7.66e-01   4.301371183e+01   -4.053068803e+02  4.2e-04  0.02  \n",
      "8   5.6e-01  1.7e-04  2.1e+00  1.05e+00   3.289546178e+00   -1.744486634e+02  1.7e-04  0.02  \n",
      "9   1.0e-02  3.2e-06  4.3e-03  1.05e+00   6.915773980e-02   -3.092932994e+00  3.2e-06  0.02  \n",
      "10  1.0e-05  3.1e-09  1.3e-07  1.00e+00   6.775093870e-05   -3.022098381e-03  3.1e-09  0.02  \n",
      "11  9.8e-09  3.1e-12  4.0e-12  1.00e+00   6.616294759e-08   -2.951264406e-06  3.1e-12  0.02  \n",
      "12  1.2e-11  2.4e-17  3.1e-20  1.00e+00   4.588216117e-16   -2.266856041e-14  2.3e-20  0.02  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1817.5429328369842, -16.765014872813722, -139.68425479751969, -57.75227046181077, -15.00523745703812, 11.317944626762529, 7.581298136291187]\n",
      "N: 62\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1704            \n",
      "  Cones                  : 243             \n",
      "  Scalar variables       : 1761            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 59\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1704            \n",
      "  Cones                  : 243             \n",
      "  Scalar variables       : 1761            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 838\n",
      "Optimizer  - Cones                  : 241\n",
      "Optimizer  - Scalar variables       : 1316              conic                  : 1017            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.44e+04          after factor           : 2.32e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 1.22e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.1e+03  1.0e+00  8.5e+03  0.00e+00   1.000000000e+00   -8.458076705e+03  1.0e+00  0.01  \n",
      "1   1.9e+03  6.2e-01  6.7e+03  -9.99e-01  1.613887150e+00   -8.451841742e+03  6.2e-01  0.01  \n",
      "2   6.9e+02  2.2e-01  3.9e+03  -9.96e-01  4.515599874e+00   -8.401398442e+03  2.2e-01  0.01  \n",
      "3   1.5e+02  4.9e-02  1.8e+03  -9.82e-01  1.987039781e+01   -8.053117467e+03  4.9e-02  0.01  \n",
      "4   4.1e+01  1.3e-02  7.7e+02  -8.71e-01  5.711278646e+01   -6.395218235e+03  1.3e-02  0.01  \n",
      "5   1.8e+01  5.6e-03  3.2e+02  -3.21e-01  7.945973531e+01   -4.121335075e+03  5.6e-03  0.01  \n",
      "6   5.8e+00  1.8e-03  7.3e+01  2.25e-01   8.642848217e+01   -1.701585536e+03  1.8e-03  0.01  \n",
      "7   1.2e+00  3.8e-04  6.5e+00  7.85e-01   3.503515639e+01   -3.582233324e+02  3.8e-04  0.02  \n",
      "8   8.3e-01  2.6e-04  3.7e+00  1.05e+00   3.038642465e+01   -2.332254375e+02  2.6e-04  0.02  \n",
      "9   4.1e-02  1.3e-05  3.8e-02  1.07e+00   1.376736471e+00   -1.110526668e+01  1.3e-05  0.02  \n",
      "10  2.2e-05  7.1e-09  4.6e-07  1.01e+00   7.293989712e-04   -5.985804300e-03  7.1e-09  0.02  \n",
      "11  2.2e-08  6.9e-12  1.4e-11  1.00e+00   7.123020387e-07   -5.845498519e-06  6.9e-12  0.02  \n",
      "12  1.1e-11  6.9e-18  1.7e-19  1.00e+00   6.739614074e-15   -7.479514475e-14  8.6e-20  0.02  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1788.3408600886282, -24.099156476107723, -134.0459075413244, -59.05601310745114, -14.331314922468275, 11.235441560688406, 7.580623561707716]\n",
      "N: 61\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1676            \n",
      "  Cones                  : 239             \n",
      "  Scalar variables       : 1732            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 58\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1676            \n",
      "  Cones                  : 239             \n",
      "  Scalar variables       : 1732            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 824\n",
      "Optimizer  - Cones                  : 237\n",
      "Optimizer  - Scalar variables       : 1294              conic                  : 1000            \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.40e+04          after factor           : 2.26e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 1.17e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.1e+03  1.0e+00  8.3e+03  0.00e+00   1.000000000e+00   -8.317497231e+03  1.0e+00  0.01  \n",
      "1   1.9e+03  6.2e-01  6.5e+03  -9.99e-01  1.617505032e+00   -8.311223325e+03  6.2e-01  0.01  \n",
      "2   6.8e+02  2.2e-01  3.9e+03  -9.96e-01  4.525022381e+00   -8.260622519e+03  2.2e-01  0.01  \n",
      "3   1.5e+02  4.8e-02  1.8e+03  -9.81e-01  1.986936181e+01   -7.910637168e+03  4.8e-02  0.01  \n",
      "4   4.0e+01  1.3e-02  7.6e+02  -8.67e-01  5.643837570e+01   -6.249460843e+03  1.3e-02  0.01  \n",
      "5   1.7e+01  5.5e-03  3.0e+02  -3.11e-01  7.934992148e+01   -3.952054775e+03  5.5e-03  0.01  \n",
      "6   5.5e+00  1.8e-03  6.7e+01  2.49e-01   8.473043981e+01   -1.596097024e+03  1.8e-03  0.01  \n",
      "7   1.1e+00  3.6e-04  5.5e+00  7.99e-01   2.716414834e+01   -3.245151319e+02  3.6e-04  0.02  \n",
      "8   5.7e-01  1.8e-04  2.0e+00  1.05e+00   5.235119056e+01   -1.197737108e+02  1.8e-04  0.02  \n",
      "9   2.6e-02  8.4e-06  1.8e-02  1.05e+00   9.841465711e-01   -6.769375872e+00  8.4e-06  0.02  \n",
      "10  5.2e-05  1.7e-08  1.6e-06  1.00e+00   1.954590423e-03   -1.345269521e-02  1.7e-08  0.02  \n",
      "11  1.0e-07  3.3e-11  1.4e-10  1.00e+00   3.817542923e-06   -2.627468187e-05  3.3e-11  0.02  \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "12  1.1e-11  8.7e-18  8.2e-18  1.00e+00   1.549133900e-14   -1.736419698e-12  1.9e-18  0.02  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1758.4885514284597, -31.091751725652905, -128.447622373872, -60.35321390694017, -13.639052094016641, 11.157696194544586, 7.579943377217474]\n",
      "N: 60\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1648            \n",
      "  Cones                  : 235             \n",
      "  Scalar variables       : 1703            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 57\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1648            \n",
      "  Cones                  : 235             \n",
      "  Scalar variables       : 1703            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 810\n",
      "Optimizer  - Cones                  : 233\n",
      "Optimizer  - Scalar variables       : 1272              conic                  : 983             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.37e+04          after factor           : 2.21e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 1.13e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.0e+03  1.0e+00  8.2e+03  0.00e+00   1.000000000e+00   -8.175791516e+03  1.0e+00  0.01  \n",
      "1   1.9e+03  6.2e-01  6.4e+03  -9.99e-01  1.621164877e+00   -8.169476146e+03  6.2e-01  0.01  \n",
      "2   6.7e+02  2.2e-01  3.8e+03  -9.96e-01  4.533692383e+00   -8.118717784e+03  2.2e-01  0.01  \n",
      "3   1.5e+02  4.8e-02  1.7e+03  -9.81e-01  1.987739847e+01   -7.766731043e+03  4.8e-02  0.01  \n",
      "4   4.0e+01  1.3e-02  7.4e+02  -8.62e-01  5.595220778e+01   -6.094063921e+03  1.3e-02  0.01  \n",
      "5   1.6e+01  5.3e-03  2.9e+02  -2.99e-01  7.939153828e+01   -3.761019501e+03  5.3e-03  0.01  \n",
      "6   5.2e+00  1.7e-03  6.2e+01  2.78e-01   8.261502307e+01   -1.484864095e+03  1.7e-03  0.01  \n",
      "7   9.9e-01  3.3e-04  4.6e+00  8.16e-01   1.776877526e+01   -2.930183789e+02  3.3e-04  0.02  \n",
      "8   5.6e-01  1.8e-04  1.9e+00  1.06e+00   1.089589326e+02   -5.662191660e+01  1.8e-04  0.02  \n",
      "9   7.0e-02  2.3e-05  9.1e-02  1.05e+00   3.650124918e+00   -1.650157694e+01  2.3e-05  0.02  \n",
      "10  7.2e-05  2.4e-08  2.8e-06  1.01e+00   3.426004635e-03   -1.720927584e-02  2.4e-08  0.02  \n",
      "11  3.5e-08  1.2e-11  3.0e-11  1.00e+00   1.672846406e-06   -8.402929539e-06  1.2e-11  0.02  \n",
      "12  1.0e-11  1.1e-16  4.4e-19  1.00e+00   1.339567356e-14   -1.339519829e-13  1.7e-19  0.02  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1727.9899644035056, -37.70801288808386, -122.88646679129344, -61.641125233878434, -12.825978646949576, 11.086922711863227, 7.5792569647865555]\n",
      "N: 59\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1620            \n",
      "  Cones                  : 231             \n",
      "  Scalar variables       : 1674            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 56\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1620            \n",
      "  Cones                  : 231             \n",
      "  Scalar variables       : 1674            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 796\n",
      "Optimizer  - Cones                  : 229\n",
      "Optimizer  - Scalar variables       : 1250              conic                  : 966             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.33e+04          after factor           : 2.16e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 1.09e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.0e+03  1.0e+00  8.0e+03  0.00e+00   1.000000000e+00   -8.032966413e+03  1.0e+00  0.01  \n",
      "1   1.8e+03  6.1e-01  6.3e+03  -9.99e-01  1.624875106e+00   -8.026606816e+03  6.1e-01  0.01  \n",
      "2   6.6e+02  2.2e-01  3.7e+03  -9.96e-01  4.542146166e+00   -7.975680408e+03  2.2e-01  0.01  \n",
      "3   1.4e+02  4.8e-02  1.7e+03  -9.80e-01  1.989830626e+01   -7.621282268e+03  4.8e-02  0.01  \n",
      "4   4.0e+01  1.4e-02  7.4e+02  -8.57e-01  5.419397870e+01   -5.997855693e+03  1.4e-02  0.01  \n",
      "5   1.6e+01  5.4e-03  2.8e+02  -3.09e-01  7.784580796e+01   -3.696185865e+03  5.4e-03  0.01  \n",
      "6   5.2e+00  1.7e-03  6.1e+01  2.75e-01   8.040768617e+01   -1.446378148e+03  1.7e-03  0.01  \n",
      "7   1.0e+00  3.3e-04  4.6e+00  8.16e-01   1.349857911e+01   -2.927809368e+02  3.3e-04  0.02  \n",
      "8   5.5e-01  1.8e-04  1.9e+00  1.07e+00   1.090973220e+02   -5.000556170e+01  1.8e-04  0.02  \n",
      "9   7.1e-02  2.4e-05  9.5e-02  1.05e+00   2.792575867e+00   -1.735585619e+01  2.4e-05  0.02  \n",
      "10  5.4e-05  1.8e-08  1.8e-06  1.01e+00   1.948161557e-03   -1.318708364e-02  1.8e-08  0.02  \n",
      "11  2.6e-08  8.8e-12  1.9e-11  1.00e+00   9.512467247e-07   -6.438978383e-06  8.8e-12  0.02  \n",
      "12  9.1e-12  7.8e-17  2.4e-19  1.00e+00   7.650962470e-15   -8.367887838e-14  1.1e-19  0.02  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1696.8505882438385, -43.91618651700399, -117.36373183163182, -62.916370377581266, -12.006702150724365, 11.004013676808011, 7.578558124261101]\n",
      "N: 58\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1592            \n",
      "  Cones                  : 227             \n",
      "  Scalar variables       : 1645            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 55\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1592            \n",
      "  Cones                  : 227             \n",
      "  Scalar variables       : 1645            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 782\n",
      "Optimizer  - Cones                  : 225\n",
      "Optimizer  - Scalar variables       : 1228              conic                  : 949             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.30e+04          after factor           : 2.11e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 1.05e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   2.9e+03  1.0e+00  7.9e+03  0.00e+00   1.000000000e+00   -7.889031432e+03  1.0e+00  0.01  \n",
      "1   1.8e+03  6.1e-01  6.2e+03  -9.99e-01  1.628643793e+00   -7.882624621e+03  6.1e-01  0.01  \n",
      "2   6.4e+02  2.2e-01  3.7e+03  -9.96e-01  4.549966685e+00   -7.831526923e+03  2.2e-01  0.01  \n",
      "3   1.4e+02  4.8e-02  1.7e+03  -9.80e-01  1.991379139e+01   -7.474803569e+03  4.8e-02  0.01  \n",
      "4   4.2e+01  1.4e-02  7.5e+02  -8.52e-01  5.170573806e+01   -5.938891051e+03  1.4e-02  0.01  \n",
      "5   1.7e+01  5.7e-03  2.9e+02  -3.32e-01  7.557765674e+01   -3.702445096e+03  5.7e-03  0.01  \n",
      "6   5.3e+00  1.8e-03  6.2e+01  2.52e-01   7.867077288e+01   -1.440082151e+03  1.8e-03  0.01  \n",
      "7   1.0e+00  3.5e-04  4.8e+00  8.10e-01   1.209471372e+01   -2.960329401e+02  3.5e-04  0.02  \n",
      "8   5.5e-01  1.9e-04  1.8e+00  1.07e+00   1.032943565e+02   -5.126789776e+01  1.9e-04  0.02  \n",
      "9   6.5e-02  2.2e-05  8.0e-02  1.05e+00   2.552077385e+00   -1.535980243e+01  2.2e-05  0.02  \n",
      "10  4.1e-05  1.4e-08  1.2e-06  1.01e+00   1.539501578e-03   -9.838459722e-03  1.4e-08  0.02  \n",
      "11  2.0e-08  6.8e-12  1.3e-11  1.00e+00   7.517075594e-07   -4.803921390e-06  6.8e-12  0.02  \n",
      "12  4.6e-12  1.0e-16  1.2e-19  1.00e+00   4.134311076e-15   -4.755242252e-14  6.3e-20  0.02  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1665.0770462914898, -49.71815464506152, -111.8848942367445, -64.17778855633075, -11.20115683708908, 10.911333310752068, 7.577847897238892]\n",
      "N: 57\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1564            \n",
      "  Cones                  : 223             \n",
      "  Scalar variables       : 1616            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 54\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1564            \n",
      "  Cones                  : 223             \n",
      "  Scalar variables       : 1616            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 768\n",
      "Optimizer  - Cones                  : 221\n",
      "Optimizer  - Scalar variables       : 1206              conic                  : 932             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.26e+04          after factor           : 2.05e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 1.01e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   2.9e+03  1.0e+00  7.7e+03  0.00e+00   1.000000000e+00   -7.743998043e+03  1.0e+00  0.01  \n",
      "1   1.8e+03  6.1e-01  6.1e+03  -9.99e-01  1.632472905e+00   -7.737540842e+03  6.1e-01  0.01  \n",
      "2   6.3e+02  2.2e-01  3.6e+03  -9.95e-01  4.557306262e+00   -7.686265412e+03  2.2e-01  0.01  \n",
      "3   1.4e+02  4.8e-02  1.6e+03  -9.79e-01  1.993913251e+01   -7.326824278e+03  4.8e-02  0.01  \n",
      "4   4.3e+01  1.5e-02  7.5e+02  -8.46e-01  5.005289999e+01   -5.842631780e+03  1.5e-02  0.01  \n",
      "5   1.7e+01  5.9e-03  2.9e+02  -3.42e-01  7.405806586e+01   -3.636270104e+03  5.9e-03  0.01  \n",
      "6   5.2e+00  1.8e-03  6.0e+01  2.48e-01   7.665960210e+01   -1.392129925e+03  1.8e-03  0.01  \n",
      "7   1.1e+00  3.9e-04  5.6e+00  8.14e-01   9.537085142e+00   -3.228273687e+02  3.9e-04  0.01  \n",
      "8   5.4e-01  1.9e-04  1.8e+00  1.07e+00   8.560681844e+01   -6.377909181e+01  1.9e-04  0.02  \n",
      "9   4.1e-02  1.4e-05  3.9e-02  1.04e+00   2.033811196e+00   -9.256911381e+00  1.4e-05  0.02  \n",
      "10  2.0e-05  6.9e-09  4.0e-07  1.01e+00   9.470692730e-04   -4.486621488e-03  6.9e-09  0.02  \n",
      "11  9.8e-09  3.4e-12  4.3e-12  1.00e+00   4.624354989e-07   -2.190729981e-06  3.4e-12  0.02  \n",
      "12  3.6e-12  6.9e-17  1.9e-20  1.00e+00   4.585540630e-16   -1.157818924e-14  1.5e-20  0.02  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1632.675711770104, -55.12574520957722, -106.45401361698237, -65.42754102445798, -10.429192052372976, 10.812185917990211, 7.577128518123668]\n",
      "N: 56\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1536            \n",
      "  Cones                  : 219             \n",
      "  Scalar variables       : 1587            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 53\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1536            \n",
      "  Cones                  : 219             \n",
      "  Scalar variables       : 1587            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 754\n",
      "Optimizer  - Cones                  : 217\n",
      "Optimizer  - Scalar variables       : 1184              conic                  : 915             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.23e+04          after factor           : 2.00e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 9.71e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   2.8e+03  1.0e+00  7.6e+03  0.00e+00   1.000000000e+00   -7.597877285e+03  1.0e+00  0.01  \n",
      "1   1.7e+03  6.1e-01  5.9e+03  -9.99e-01  1.636354191e+00   -7.591366388e+03  6.1e-01  0.01  \n",
      "2   6.2e+02  2.2e-01  3.5e+03  -9.95e-01  4.565500958e+00   -7.539882139e+03  2.2e-01  0.01  \n",
      "3   1.3e+02  4.8e-02  1.6e+03  -9.79e-01  1.998092047e+01   -7.177125532e+03  4.8e-02  0.01  \n",
      "4   4.3e+01  1.5e-02  7.4e+02  -8.40e-01  4.903396958e+01   -5.717236673e+03  1.5e-02  0.01  \n",
      "5   1.7e+01  5.9e-03  2.8e+02  -3.42e-01  7.315567375e+01   -3.514744728e+03  5.9e-03  0.01  \n",
      "6   4.9e+00  1.7e-03  5.6e+01  2.60e-01   7.442340264e+01   -1.308217547e+03  1.7e-03  0.01  \n",
      "7   1.2e+00  4.2e-04  6.4e+00  8.29e-01   1.528939037e+01   -3.311731716e+02  4.2e-04  0.01  \n",
      "8   6.4e-01  2.3e-04  2.4e+00  1.05e+00   9.347529864e+01   -8.013310764e+01  2.3e-04  0.02  \n",
      "9   7.0e-02  2.5e-05  9.0e-02  1.05e+00   2.391185196e+00   -1.634741641e+01  2.5e-05  0.02  \n",
      "10  4.9e-05  1.7e-08  1.5e-06  1.01e+00   1.594789473e-03   -1.143150912e-02  1.7e-08  0.02  \n",
      "11  2.4e-08  8.4e-12  1.6e-11  1.00e+00   7.787024339e-07   -5.581767474e-06  8.4e-12  0.02  \n",
      "12  1.0e-11  1.9e-17  1.9e-19  1.00e+00   5.035397646e-15   -6.988052147e-14  9.9e-20  0.02  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1599.6533592591898, -60.146137598134466, -101.07554263102847, -66.66186046100981, -9.65236435120388, 10.701694755097726, 7.576392837710205]\n",
      "N: 55\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1508            \n",
      "  Cones                  : 215             \n",
      "  Scalar variables       : 1558            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 52\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1508            \n",
      "  Cones                  : 215             \n",
      "  Scalar variables       : 1558            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 740\n",
      "Optimizer  - Cones                  : 213\n",
      "Optimizer  - Scalar variables       : 1162              conic                  : 898             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.19e+04          after factor           : 1.95e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 9.33e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   2.8e+03  1.0e+00  7.5e+03  0.00e+00   1.000000000e+00   -7.450680893e+03  1.0e+00  0.01  \n",
      "1   1.7e+03  6.1e-01  5.8e+03  -9.99e-01  1.640266447e+00   -7.444112998e+03  6.1e-01  0.01  \n",
      "2   6.0e+02  2.2e-01  3.4e+03  -9.95e-01  4.573222170e+00   -7.392411574e+03  2.2e-01  0.01  \n",
      "3   1.3e+02  4.8e-02  1.6e+03  -9.78e-01  2.004008866e+01   -7.025705156e+03  4.8e-02  0.01  \n",
      "4   4.2e+01  1.5e-02  7.2e+02  -8.33e-01  4.858131089e+01   -5.565050997e+03  1.5e-02  0.01  \n",
      "5   1.6e+01  5.7e-03  2.6e+02  -3.32e-01  7.283697747e+01   -3.332068221e+03  5.7e-03  0.01  \n",
      "6   4.5e+00  1.6e-03  4.8e+01  2.90e-01   7.154706239e+01   -1.162647544e+03  1.6e-03  0.01  \n",
      "7   1.2e+00  4.4e-04  6.5e+00  8.62e-01   6.592123779e+00   -3.359958734e+02  4.4e-04  0.01  \n",
      "8   5.2e-01  1.9e-04  1.8e+00  1.07e+00   7.427345830e+01   -6.490803666e+01  1.9e-04  0.01  \n",
      "9   3.6e-02  1.3e-05  3.2e-02  1.03e+00   1.326390569e+00   -8.137641794e+00  1.3e-05  0.02  \n",
      "10  2.1e-05  7.7e-09  4.6e-07  1.00e+00   7.818715359e-04   -4.822533543e-03  7.7e-09  0.02  \n",
      "11  1.0e-08  3.8e-12  4.9e-12  1.00e+00   3.817726897e-07   -2.354749277e-06  3.8e-12  0.02  \n",
      "12  7.0e-12  8.5e-17  2.9e-20  1.00e+00   5.403986410e-16   -1.542965830e-14  2.2e-20  0.02  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1566.0178302103236, -64.78038969247382, -95.75427232212013, -67.8802472768235, -8.884631084105427, 10.583383248238723, 7.575640402159718]\n",
      "N: 54\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1480            \n",
      "  Cones                  : 211             \n",
      "  Scalar variables       : 1529            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 51\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1480            \n",
      "  Cones                  : 211             \n",
      "  Scalar variables       : 1529            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 726\n",
      "Optimizer  - Cones                  : 209\n",
      "Optimizer  - Scalar variables       : 1140              conic                  : 881             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.16e+04          after factor           : 1.91e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 8.97e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   2.7e+03  1.0e+00  7.3e+03  0.00e+00   1.000000000e+00   -7.302422447e+03  1.0e+00  0.01  \n",
      "1   1.6e+03  6.1e-01  5.7e+03  -9.99e-01  1.644169466e+00   -7.295794422e+03  6.1e-01  0.01  \n",
      "2   5.9e+02  2.2e-01  3.4e+03  -9.95e-01  4.580414816e+00   -7.243867111e+03  2.2e-01  0.01  \n",
      "3   1.3e+02  4.7e-02  1.5e+03  -9.78e-01  2.011756497e+01   -6.872456208e+03  4.7e-02  0.01  \n",
      "4   4.2e+01  1.5e-02  7.1e+02  -8.25e-01  4.818721354e+01   -5.407863093e+03  1.5e-02  0.01  \n",
      "5   1.5e+01  5.5e-03  2.5e+02  -3.22e-01  7.255834915e+01   -3.138892561e+03  5.5e-03  0.01  \n",
      "6   3.7e+00  1.4e-03  3.6e+01  3.24e-01   6.804113419e+01   -9.443125815e+02  1.4e-03  0.01  \n",
      "7   1.6e+00  6.0e-04  1.0e+01  9.20e-01   5.100700308e+00   -4.420761579e+02  6.0e-04  0.01  \n",
      "8   4.8e-01  1.8e-04  1.6e+00  1.04e+00   4.482333532e+01   -7.990424259e+01  1.8e-04  0.01  \n",
      "9   1.3e-02  4.9e-06  6.5e-03  1.04e+00   5.619233577e-01   -2.844717226e+00  4.9e-06  0.02  \n",
      "10  6.6e-06  2.4e-09  7.2e-08  1.00e+00   2.799520751e-04   -1.418503025e-03  2.4e-09  0.02  \n",
      "11  3.2e-11  1.2e-14  3.5e-13  1.00e+00   3.071430132e-10   -7.934411170e-09  1.2e-14  0.02  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1531.776694024067, -69.04091551858782, -90.49228363777841, -69.08428945831479, -8.157459438537508, 10.464568427947437, 7.574870736135513]\n",
      "N: 53\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1452            \n",
      "  Cones                  : 207             \n",
      "  Scalar variables       : 1500            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 50\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1452            \n",
      "  Cones                  : 207             \n",
      "  Scalar variables       : 1500            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 712\n",
      "Optimizer  - Cones                  : 205\n",
      "Optimizer  - Scalar variables       : 1118              conic                  : 864             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.13e+04          after factor           : 1.86e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 8.63e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   2.7e+03  1.0e+00  7.2e+03  0.00e+00   1.000000000e+00   -7.153115060e+03  1.0e+00  0.01  \n",
      "1   1.6e+03  6.1e-01  5.6e+03  -9.99e-01  1.648000785e+00   -7.146424133e+03  6.1e-01  0.01  \n",
      "2   5.7e+02  2.2e-01  3.3e+03  -9.95e-01  4.587185773e+00   -7.094259157e+03  2.2e-01  0.01  \n",
      "3   1.2e+02  4.7e-02  1.5e+03  -9.77e-01  2.016763777e+01   -6.718380161e+03  4.7e-02  0.01  \n",
      "4   4.1e+01  1.5e-02  6.8e+02  -8.16e-01  4.804317760e+01   -5.233320658e+03  1.5e-02  0.01  \n",
      "5   1.4e+01  5.5e-03  2.4e+02  -3.06e-01  7.143884244e+01   -3.018039328e+03  5.5e-03  0.01  \n",
      "6   3.4e+00  1.3e-03  3.2e+01  3.36e-01   6.510888555e+01   -8.655398417e+02  1.3e-03  0.01  \n",
      "7   1.7e+00  6.5e-04  1.1e+01  9.36e-01   4.806548531e+00   -4.600146779e+02  6.5e-04  0.01  \n",
      "8   4.0e-01  1.5e-04  1.2e+00  1.04e+00   3.813499617e+01   -6.467005641e+01  1.5e-04  0.01  \n",
      "9   9.8e-03  3.7e-06  4.1e-03  1.04e+00   5.472808492e-01   -1.927082789e+00  3.7e-06  0.02  \n",
      "10  4.8e-06  1.8e-09  4.5e-08  1.00e+00   2.690184710e-04   -9.475127805e-04  1.8e-09  0.02  \n",
      "11  1.6e-11  6.0e-15  1.5e-13  1.00e+00   1.436604715e-10   -3.896457518e-09  6.0e-15  0.02  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1496.9375215811258, -72.93368496881507, -85.29099901692275, -70.27239211971276, -7.413605778141045, 10.340566924032206, 7.574084107036186]\n",
      "N: 52\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1424            \n",
      "  Cones                  : 203             \n",
      "  Scalar variables       : 1471            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 49\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1424            \n",
      "  Cones                  : 203             \n",
      "  Scalar variables       : 1471            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 698\n",
      "Optimizer  - Cones                  : 201\n",
      "Optimizer  - Scalar variables       : 1096              conic                  : 847             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.10e+04          after factor           : 1.80e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 8.22e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   2.6e+03  1.0e+00  7.0e+03  0.00e+00   1.000000000e+00   -7.002771843e+03  1.0e+00  0.01  \n",
      "1   1.6e+03  6.0e-01  5.4e+03  -9.99e-01  1.651676409e+00   -6.996015807e+03  6.0e-01  0.01  \n",
      "2   5.6e+02  2.2e-01  3.2e+03  -9.95e-01  4.593482894e+00   -6.943598549e+03  2.2e-01  0.01  \n",
      "3   1.2e+02  4.7e-02  1.4e+03  -9.76e-01  2.023242695e+01   -6.562457207e+03  4.7e-02  0.01  \n",
      "4   3.9e+01  1.5e-02  6.6e+02  -8.07e-01  4.800109620e+01   -5.047691858e+03  1.5e-02  0.01  \n",
      "5   1.4e+01  5.4e-03  2.3e+02  -2.87e-01  7.025111290e+01   -2.886267019e+03  5.4e-03  0.01  \n",
      "6   3.2e+00  1.2e-03  2.9e+01  3.52e-01   6.156448839e+01   -7.983945604e+02  1.2e-03  0.01  \n",
      "7   1.8e+00  6.8e-04  1.2e+01  9.46e-01   4.558820711e+00   -4.659378924e+02  6.8e-04  0.01  \n",
      "8   3.5e-01  1.4e-04  9.8e-01  1.04e+00   3.158357280e+01   -5.730597367e+01  1.4e-04  0.01  \n",
      "9   6.0e-03  2.3e-06  1.9e-03  1.04e+00   3.215535123e-01   -1.165027084e+00  2.3e-06  0.02  \n",
      "10  2.9e-06  1.1e-09  2.0e-08  1.00e+00   1.572473825e-04   -5.697664561e-04  1.1e-09  0.02  \n",
      "11  1.2e-11  2.4e-15  4.3e-14  1.00e+00   5.073319462e-11   -1.497106619e-09  2.4e-15  0.02  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1461.509419010506, -76.45578802375796, -80.1545214334079, -71.44001002486645, -6.674794130592704, 10.205340299923483, 7.573276116093147]\n",
      "N: 51\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1396            \n",
      "  Cones                  : 199             \n",
      "  Scalar variables       : 1442            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 48\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1396            \n",
      "  Cones                  : 199             \n",
      "  Scalar variables       : 1442            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 684\n",
      "Optimizer  - Cones                  : 197\n",
      "Optimizer  - Scalar variables       : 1074              conic                  : 830             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.06e+04          after factor           : 1.76e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 7.89e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   2.5e+03  1.0e+00  6.9e+03  0.00e+00   1.000000000e+00   -6.851408569e+03  1.0e+00  0.01  \n",
      "1   1.5e+03  6.0e-01  5.3e+03  -9.99e-01  1.655100783e+00   -6.844585917e+03  6.0e-01  0.01  \n",
      "2   5.5e+02  2.2e-01  3.2e+03  -9.95e-01  4.599029835e+00   -6.791903222e+03  2.2e-01  0.01  \n",
      "3   1.2e+02  4.7e-02  1.4e+03  -9.76e-01  2.031121567e+01   -6.404622958e+03  4.7e-02  0.01  \n",
      "4   3.7e+01  1.5e-02  6.2e+02  -7.96e-01  4.864113465e+01   -4.821997746e+03  1.5e-02  0.01  \n",
      "5   1.3e+01  5.2e-03  2.1e+02  -2.54e-01  6.938820074e+01   -2.701055195e+03  5.2e-03  0.01  \n",
      "6   2.8e+00  1.1e-03  2.4e+01  3.85e-01   5.681834433e+01   -6.898702747e+02  1.1e-03  0.01  \n",
      "7   1.7e+00  6.8e-04  1.1e+01  9.70e-01   4.277972389e+00   -4.466799416e+02  6.8e-04  0.01  \n",
      "8   2.9e-01  1.1e-04  7.2e-01  1.04e+00   1.124611269e+01   -6.011754245e+01  1.1e-04  0.01  \n",
      "9   1.6e-03  6.3e-07  2.3e-04  1.04e+00   5.482824677e-02   -3.339701828e-01  6.3e-07  0.02  \n",
      "10  7.8e-07  3.1e-10  2.5e-09  1.00e+00   2.676705434e-05   -1.630442832e-04  3.1e-10  0.02  \n",
      "11  1.5e-11  2.1e-16  1.7e-15  1.00e+00   1.094825868e-11   -1.200796473e-10  2.1e-16  0.02  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1425.5066358709787, -79.62425803408415, -75.09123529305826, -72.57111509165232, -5.999074096467904, 10.047801417483914, 7.572427919909802]\n",
      "N: 50\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1368            \n",
      "  Cones                  : 195             \n",
      "  Scalar variables       : 1413            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 47\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1368            \n",
      "  Cones                  : 195             \n",
      "  Scalar variables       : 1413            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 670\n",
      "Optimizer  - Cones                  : 193\n",
      "Optimizer  - Scalar variables       : 1052              conic                  : 813             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.03e+04          after factor           : 1.71e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 7.57e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   2.5e+03  1.0e+00  6.7e+03  0.00e+00   1.000000000e+00   -6.699049920e+03  1.0e+00  0.01  \n",
      "1   1.5e+03  6.0e-01  5.2e+03  -9.98e-01  1.658190989e+00   -6.692159824e+03  6.0e-01  0.01  \n",
      "2   5.3e+02  2.2e-01  3.1e+03  -9.95e-01  4.603436620e+00   -6.639203163e+03  2.2e-01  0.01  \n",
      "3   1.1e+02  4.6e-02  1.4e+03  -9.75e-01  2.040057997e+01   -6.244967211e+03  4.6e-02  0.01  \n",
      "4   3.4e+01  1.4e-02  5.7e+02  -7.85e-01  5.012125651e+01   -4.547197798e+03  1.4e-02  0.01  \n",
      "5   1.2e+01  4.8e-03  1.8e+02  -2.05e-01  6.899209597e+01   -2.451675983e+03  4.8e-03  0.01  \n",
      "6   2.2e+00  9.1e-04  1.7e+01  4.41e-01   5.025036261e+01   -5.362572964e+02  9.1e-04  0.01  \n",
      "7   1.4e+00  5.8e-04  8.3e+00  1.01e+00   3.794716311e+00   -3.637719700e+02  5.8e-04  0.01  \n",
      "8   2.1e-01  8.4e-05  4.3e-01  1.07e+00   4.930837292e+00   -4.495471834e+01  8.4e-05  0.01  \n",
      "9   6.6e-04  2.7e-07  6.5e-05  1.03e+00   1.558711755e-02   -1.430032629e-01  2.7e-07  0.02  \n",
      "10  3.2e-07  1.3e-10  7.0e-10  1.00e+00   7.610133436e-06   -6.981881832e-05  1.3e-10  0.02  \n",
      "11  1.8e-11  3.6e-17  1.9e-16  1.00e+00   1.345672840e-12   -1.996483626e-11  3.6e-17  0.02  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1388.9479753215862, -82.45592931743442, -70.11067212912737, -73.66351971136224, -5.3275997162258735, 9.8744484122242, 7.571542041231116]\n",
      "N: 49\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1340            \n",
      "  Cones                  : 191             \n",
      "  Scalar variables       : 1384            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 46\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1340            \n",
      "  Cones                  : 191             \n",
      "  Scalar variables       : 1384            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 656\n",
      "Optimizer  - Cones                  : 189\n",
      "Optimizer  - Scalar variables       : 1030              conic                  : 796             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.00e+04          after factor           : 1.65e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 7.21e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   2.4e+03  1.0e+00  6.5e+03  0.00e+00   1.000000000e+00   -6.545728462e+03  1.0e+00  0.01  \n",
      "1   1.4e+03  6.0e-01  5.1e+03  -9.98e-01  1.660902540e+00   -6.538770263e+03  6.0e-01  0.01  \n",
      "2   5.2e+02  2.2e-01  3.0e+03  -9.94e-01  4.606855196e+00   -6.485523047e+03  2.2e-01  0.01  \n",
      "3   1.1e+02  4.6e-02  1.3e+03  -9.74e-01  2.044163061e+01   -6.084925964e+03  4.6e-02  0.01  \n",
      "4   3.1e+01  1.3e-02  5.2e+02  -7.74e-01  5.251667526e+01   -4.219020554e+03  1.3e-02  0.01  \n",
      "5   9.7e+00  4.0e-03  1.4e+02  -1.36e-01  6.945712352e+01   -2.047710510e+03  4.0e-03  0.01  \n",
      "6   1.7e+00  7.2e-04  1.1e+01  5.50e-01   3.793402623e+01   -4.050264604e+02  7.2e-04  0.01  \n",
      "7   5.4e-01  2.2e-04  1.8e+00  1.03e+00   8.021904906e+00   -1.225646982e+02  2.2e-04  0.01  \n",
      "8   9.0e-03  3.7e-06  2.9e-03  1.06e+00   1.113884697e-01   -1.987828990e+00  3.7e-06  0.01  \n",
      "9   8.8e-06  3.6e-09  9.0e-08  1.00e+00   1.089590449e-04   -1.943006853e-03  3.6e-09  0.02  \n",
      "10  8.6e-09  3.6e-12  2.7e-12  1.00e+00   1.064051575e-07   -1.897464758e-06  3.6e-12  0.02  \n",
      "11  7.8e-12  1.1e-16  2.2e-20  1.00e+00   6.694008835e-16   -1.513406703e-14  2.8e-20  0.02  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1351.850422211675, -84.95962290642835, -65.21925197504586, -74.72668567636752, -4.687163683106246, 9.69122950903516, 7.570629434544626]\n",
      "N: 48\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1312            \n",
      "  Cones                  : 187             \n",
      "  Scalar variables       : 1355            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 45\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1312            \n",
      "  Cones                  : 187             \n",
      "  Scalar variables       : 1355            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 642\n",
      "Optimizer  - Cones                  : 185\n",
      "Optimizer  - Scalar variables       : 1008              conic                  : 779             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 9716              after factor           : 1.61e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 6.89e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   2.3e+03  1.0e+00  6.4e+03  0.00e+00   1.000000000e+00   -6.391473616e+03  1.0e+00  0.01  \n",
      "1   1.4e+03  6.0e-01  4.9e+03  -9.98e-01  1.663281489e+00   -6.384445778e+03  6.0e-01  0.01  \n",
      "2   5.0e+02  2.2e-01  2.9e+03  -9.94e-01  4.608842424e+00   -6.330893821e+03  2.2e-01  0.01  \n",
      "3   1.1e+02  4.7e-02  1.3e+03  -9.73e-01  2.009757057e+01   -5.933273156e+03  4.7e-02  0.01  \n",
      "4   2.9e+01  1.2e-02  4.9e+02  -7.68e-01  5.285762470e+01   -4.024935663e+03  1.2e-02  0.01  \n",
      "5   9.0e+00  3.8e-03  1.3e+02  -1.07e-01  6.831052266e+01   -1.884773317e+03  3.8e-03  0.01  \n",
      "6   1.5e+00  6.6e-04  9.2e+00  5.86e-01   3.119442445e+01   -3.577421955e+02  6.6e-04  0.01  \n",
      "7   5.6e-01  2.4e-04  1.8e+00  1.04e+00   2.990770663e+01   -1.012567676e+02  2.4e-04  0.01  \n",
      "8   1.6e-02  6.8e-06  7.6e-03  1.06e+00   4.473709619e-01   -3.168025094e+00  6.8e-06  0.01  \n",
      "9   8.0e-06  3.4e-09  8.6e-08  1.00e+00   2.259006954e-04   -1.601276941e-03  3.4e-09  0.01  \n",
      "10  3.9e-09  1.7e-12  9.3e-13  1.00e+00   1.103029604e-07   -7.818726646e-07  1.7e-12  0.02  \n",
      "11  7.3e-12  6.8e-17  2.7e-21  1.00e+00   1.110830631e-16   -2.490390101e-15  4.9e-21  0.02  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1314.2268358237457, -87.13323314532245, -60.4220322030861, -75.76765238822935, -4.007266604321313, 9.497646717411536, 7.5697017427298565]\n",
      "N: 47\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1284            \n",
      "  Cones                  : 183             \n",
      "  Scalar variables       : 1326            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 44\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1284            \n",
      "  Cones                  : 183             \n",
      "  Scalar variables       : 1326            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 628\n",
      "Optimizer  - Cones                  : 181\n",
      "Optimizer  - Scalar variables       : 986               conic                  : 762             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 9413              after factor           : 1.56e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 6.59e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   2.3e+03  1.0e+00  6.2e+03  0.00e+00   1.000000000e+00   -6.236307652e+03  1.0e+00  0.01  \n",
      "1   1.4e+03  6.0e-01  4.8e+03  -9.98e-01  1.665507556e+00   -6.229206244e+03  6.0e-01  0.01  \n",
      "2   4.9e+02  2.2e-01  2.9e+03  -9.94e-01  4.610473437e+00   -6.175311918e+03  2.2e-01  0.01  \n",
      "3   1.1e+02  4.8e-02  1.3e+03  -9.72e-01  1.962450337e+01   -5.783765455e+03  4.8e-02  0.01  \n",
      "4   2.9e+01  1.3e-02  4.8e+02  -7.65e-01  5.162616811e+01   -3.921845168e+03  1.3e-02  0.01  \n",
      "5   8.8e+00  3.9e-03  1.2e+02  -1.09e-01  6.679462413e+01   -1.804436166e+03  3.9e-03  0.01  \n",
      "6   1.5e+00  6.5e-04  8.5e+00  5.97e-01   2.725873766e+01   -3.353900995e+02  6.5e-04  0.01  \n",
      "7   5.1e-01  2.2e-04  1.6e+00  1.04e+00   2.007444357e+01   -9.693403301e+01  2.2e-04  0.01  \n",
      "8   8.6e-03  3.8e-06  2.7e-03  1.06e+00   1.709905257e-01   -1.748647098e+00  3.8e-06  0.01  \n",
      "9   4.2e-06  1.9e-09  3.0e-08  1.00e+00   8.387973707e-05   -8.577193989e-04  1.9e-09  0.01  \n",
      "10  1.3e-11  5.8e-15  9.3e-14  1.00e+00   9.268280778e-11   -2.874307433e-09  5.8e-15  0.02  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1276.0914025331074, -88.96641762984137, -55.72120781429652, -76.77407326631746, -3.32546103993929, 9.305647968373286, 7.568739143063706]\n",
      "N: 46\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1256            \n",
      "  Cones                  : 179             \n",
      "  Scalar variables       : 1297            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 43\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1256            \n",
      "  Cones                  : 179             \n",
      "  Scalar variables       : 1297            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 614\n",
      "Optimizer  - Cones                  : 177\n",
      "Optimizer  - Scalar variables       : 964               conic                  : 745             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 9114              after factor           : 1.52e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 6.31e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   2.2e+03  1.0e+00  6.1e+03  0.00e+00   1.000000000e+00   -6.080255144e+03  1.0e+00  0.01  \n",
      "1   1.3e+03  6.0e-01  4.7e+03  -9.98e-01  1.667872848e+00   -6.073072723e+03  6.0e-01  0.01  \n",
      "2   4.8e+02  2.2e-01  2.8e+03  -9.94e-01  4.610798772e+00   -6.018813464e+03  2.2e-01  0.01  \n",
      "3   1.1e+02  4.8e-02  1.3e+03  -9.71e-01  1.943426094e+01   -5.625605746e+03  4.8e-02  0.01  \n",
      "4   2.9e+01  1.3e-02  4.8e+02  -7.56e-01  5.016738660e+01   -3.816046301e+03  1.3e-02  0.01  \n",
      "5   7.9e+00  3.6e-03  1.1e+02  -1.13e-01  6.596351550e+01   -1.615984466e+03  3.6e-03  0.01  \n",
      "6   1.4e+00  6.3e-04  7.8e+00  6.48e-01   1.934976536e+01   -3.150882656e+02  6.3e-04  0.01  \n",
      "7   6.3e-01  2.9e-04  2.2e+00  1.05e+00   5.439122052e+01   -8.720530151e+01  2.9e-04  0.01  \n",
      "8   3.6e-02  1.6e-05  2.7e-02  1.06e+00   1.051222129e+00   -6.672667923e+00  1.6e-05  0.01  \n",
      "9   2.1e-05  9.4e-09  3.7e-07  1.01e+00   6.113728386e-04   -3.905246737e-03  9.4e-09  0.01  \n",
      "10  1.0e-08  4.6e-12  4.0e-12  1.00e+00   2.985211932e-07   -1.906854286e-06  4.6e-12  0.02  \n",
      "11  1.1e-11  7.3e-17  2.3e-20  1.00e+00   3.907899317e-16   -1.224878299e-14  2.6e-20  0.02  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1237.459152178559, -90.44720153689913, -51.12112100329332, -77.75492013660575, -2.5976646564142043, 9.09469621240209, 7.567763070505059]\n",
      "N: 45\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1228            \n",
      "  Cones                  : 175             \n",
      "  Scalar variables       : 1268            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 42\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1228            \n",
      "  Cones                  : 175             \n",
      "  Scalar variables       : 1268            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 600\n",
      "Optimizer  - Cones                  : 173\n",
      "Optimizer  - Scalar variables       : 942               conic                  : 728             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 8819              after factor           : 1.46e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 5.98e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   2.1e+03  1.0e+00  5.9e+03  0.00e+00   1.000000000e+00   -5.923342124e+03  1.0e+00  0.01  \n",
      "1   1.3e+03  6.0e-01  4.6e+03  -9.98e-01  1.670564153e+00   -5.916068586e+03  6.0e-01  0.01  \n",
      "2   4.6e+02  2.2e-01  2.7e+03  -9.94e-01  4.610847577e+00   -5.861407031e+03  2.2e-01  0.01  \n",
      "3   1.1e+02  5.1e-02  1.3e+03  -9.70e-01  1.833852714e+01   -5.490606531e+03  5.1e-02  0.01  \n",
      "4   3.0e+01  1.4e-02  4.8e+02  -7.64e-01  4.824868825e+01   -3.767323533e+03  1.4e-02  0.01  \n",
      "5   8.4e+00  3.9e-03  1.2e+02  -1.29e-01  6.337258230e+01   -1.672437724e+03  3.9e-03  0.01  \n",
      "6   1.4e+00  6.7e-04  8.2e+00  6.10e-01   2.067220867e+01   -3.185677996e+02  6.7e-04  0.01  \n",
      "7   6.1e-01  2.8e-04  2.1e+00  1.05e+00   4.355538679e+01   -9.016593999e+01  2.8e-04  0.01  \n",
      "8   2.6e-02  1.2e-05  1.6e-02  1.06e+00   6.934600234e-01   -4.764086082e+00  1.2e-05  0.01  \n",
      "9   1.4e-05  6.4e-09  1.9e-07  1.01e+00   3.684012025e-04   -2.537527369e-03  6.4e-09  0.01  \n",
      "10  6.7e-09  3.1e-12  2.1e-12  1.00e+00   1.798830861e-07   -1.239024791e-06  3.1e-12  0.02  \n",
      "11  4.8e-12  1.9e-17  8.6e-21  1.00e+00   1.878553588e-16   -5.749617718e-15  1.3e-20  0.02  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1198.3452234861509, -91.56429100705026, -46.62962905878262, -78.70078662691401, -1.8706837307176998, 8.871268505903215, 7.566749489162567]\n",
      "N: 44\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1200            \n",
      "  Cones                  : 171             \n",
      "  Scalar variables       : 1239            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 41\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1200            \n",
      "  Cones                  : 171             \n",
      "  Scalar variables       : 1239            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 586\n",
      "Optimizer  - Cones                  : 169\n",
      "Optimizer  - Scalar variables       : 920               conic                  : 711             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 8528              after factor           : 1.42e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 5.70e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   2.1e+03  1.0e+00  5.8e+03  0.00e+00   1.000000000e+00   -5.765594812e+03  1.0e+00  0.00  \n",
      "1   1.2e+03  6.0e-01  4.4e+03  -9.98e-01  1.673431313e+00   -5.758221110e+03  6.0e-01  0.01  \n",
      "2   4.5e+02  2.2e-01  2.7e+03  -9.93e-01  4.615356098e+00   -5.703049850e+03  2.2e-01  0.01  \n",
      "3   1.1e+02  5.4e-02  1.3e+03  -9.69e-01  1.765270563e+01   -5.344005979e+03  5.4e-02  0.01  \n",
      "4   2.9e+01  1.4e-02  4.7e+02  -7.65e-01  4.798161621e+01   -3.606296933e+03  1.4e-02  0.01  \n",
      "5   7.3e+00  3.5e-03  1.0e+02  -1.07e-01  6.234470146e+01   -1.452932673e+03  3.5e-03  0.01  \n",
      "6   1.3e+00  6.4e-04  7.4e+00  6.75e-01   9.411757644e+00   -2.968311990e+02  6.4e-04  0.01  \n",
      "7   6.2e-01  3.0e-04  2.2e+00  1.08e+00   5.996541875e+01   -7.176681005e+01  3.0e-04  0.01  \n",
      "8   4.5e-02  2.2e-05  4.0e-02  1.05e+00   1.164515692e+00   -8.250872247e+00  2.2e-05  0.01  \n",
      "9   2.7e-05  1.3e-08  5.8e-07  1.01e+00   6.965200705e-04   -4.970670373e-03  1.3e-08  0.01  \n",
      "10  2.7e-08  1.3e-11  1.8e-11  1.00e+00   6.801932811e-07   -4.854155301e-06  1.3e-11  0.02  \n",
      "11  3.6e-12  2.4e-17  2.2e-19  1.00e+00   2.884294557e-15   -6.713226997e-14  1.6e-19  0.02  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1158.7686565065228, -92.314907971781, -42.25709966256546, -79.60547315403777, -1.131775211193038, 8.61884596899148, 7.565698564623342]\n",
      "N: 43\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1172            \n",
      "  Cones                  : 167             \n",
      "  Scalar variables       : 1210            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 40\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1172            \n",
      "  Cones                  : 167             \n",
      "  Scalar variables       : 1210            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 572\n",
      "Optimizer  - Cones                  : 165\n",
      "Optimizer  - Scalar variables       : 898               conic                  : 694             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 8241              after factor           : 1.38e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 5.44e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   2.0e+03  1.0e+00  5.6e+03  0.00e+00   1.000000000e+00   -5.607046187e+03  1.0e+00  0.00  \n",
      "1   1.2e+03  6.0e-01  4.3e+03  -9.98e-01  1.675775558e+00   -5.599569405e+03  6.0e-01  0.01  \n",
      "2   4.3e+02  2.2e-01  2.6e+03  -9.93e-01  4.614830205e+00   -5.543915888e+03  2.2e-01  0.01  \n",
      "3   1.1e+02  5.6e-02  1.2e+03  -9.67e-01  1.703420184e+01   -5.194844589e+03  5.6e-02  0.01  \n",
      "4   2.8e+01  1.4e-02  4.5e+02  -7.65e-01  4.714584728e+01   -3.470269164e+03  1.4e-02  0.01  \n",
      "5   7.1e+00  3.5e-03  9.5e+01  -9.63e-02  6.002538671e+01   -1.379120564e+03  3.5e-03  0.01  \n",
      "6   1.3e+00  6.5e-04  7.1e+00  6.86e-01   4.879631214e+00   -2.877678858e+02  6.5e-04  0.01  \n",
      "7   4.8e-01  2.4e-04  1.5e+00  1.09e+00   4.165538918e+01   -5.792992801e+01  2.4e-04  0.01  \n",
      "8   1.8e-02  8.9e-06  9.3e-03  1.04e+00   5.856055262e-01   -3.041502817e+00  8.9e-06  0.01  \n",
      "9   9.0e-06  4.5e-09  1.0e-07  1.00e+00   2.943370310e-04   -1.531050959e-03  4.5e-09  0.01  \n",
      "10  4.9e-11  2.4e-14  5.7e-13  1.00e+00   6.724203686e-10   -9.238279411e-09  2.4e-14  0.01  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1118.7523046580407, -92.68761322094188, -38.01551357644953, -80.45992572922425, -0.35903750234250353, 8.347495122906274, 7.564589168536621]\n",
      "N: 42\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1144            \n",
      "  Cones                  : 163             \n",
      "  Scalar variables       : 1181            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 39\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1144            \n",
      "  Cones                  : 163             \n",
      "  Scalar variables       : 1181            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 558\n",
      "Optimizer  - Cones                  : 161\n",
      "Optimizer  - Scalar variables       : 876               conic                  : 677             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 7958              after factor           : 1.33e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 5.18e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   1.9e+03  1.0e+00  5.4e+03  0.00e+00   1.000000000e+00   -5.447735833e+03  1.0e+00  0.00  \n",
      "1   1.2e+03  5.9e-01  4.2e+03  -9.98e-01  1.677887964e+00   -5.440149475e+03  5.9e-01  0.01  \n",
      "2   4.2e+02  2.2e-01  2.5e+03  -9.93e-01  4.614631366e+00   -5.383947616e+03  2.2e-01  0.01  \n",
      "3   1.1e+02  5.7e-02  1.2e+03  -9.66e-01  1.653490214e+01   -5.041314217e+03  5.7e-02  0.01  \n",
      "4   2.7e+01  1.4e-02  4.4e+02  -7.62e-01  4.625919146e+01   -3.328594146e+03  1.4e-02  0.01  \n",
      "5   6.7e+00  3.5e-03  8.8e+01  -8.44e-02  5.756611791e+01   -1.284980625e+03  3.5e-03  0.01  \n",
      "6   1.7e+00  8.5e-04  1.1e+01  7.06e-01   1.477139364e+01   -3.459701182e+02  8.5e-04  0.01  \n",
      "7   7.5e-01  3.9e-04  3.0e+00  1.04e+00   4.718390717e+01   -1.067112637e+02  3.9e-04  0.01  \n",
      "8   5.0e-02  2.6e-05  4.5e-02  1.06e+00   9.449936329e-01   -8.968761233e+00  2.6e-05  0.01  \n",
      "9   2.4e-05  1.2e-08  4.4e-07  1.01e+00   4.447306954e-04   -4.234091127e-03  1.2e-08  0.01  \n",
      "10  1.2e-08  6.0e-12  4.7e-12  1.00e+00   2.171528533e-07   -2.067419631e-06  6.0e-12  0.01  \n",
      "11  4.6e-12  7.3e-17  2.7e-20  1.00e+00   3.466755086e-16   -1.285179173e-14  3.4e-20  0.01  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1078.3188314310983, -92.65132054544355, -33.91597929149503, -81.27395766931966, 0.5042159340908913, 8.050638382721788, 7.563428422073069]\n",
      "N: 41\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1116            \n",
      "  Cones                  : 159             \n",
      "  Scalar variables       : 1152            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 38\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1116            \n",
      "  Cones                  : 159             \n",
      "  Scalar variables       : 1152            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 544\n",
      "Optimizer  - Cones                  : 157\n",
      "Optimizer  - Scalar variables       : 854               conic                  : 660             \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 7679              after factor           : 1.28e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 4.89e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   1.9e+03  1.0e+00  5.3e+03  0.00e+00   1.000000000e+00   -5.287703003e+03  1.0e+00  0.00  \n",
      "1   1.1e+03  5.9e-01  4.1e+03  -9.98e-01  1.679728474e+00   -5.279999868e+03  5.9e-01  0.01  \n",
      "2   4.0e+02  2.2e-01  2.4e+03  -9.92e-01  4.614445879e+00   -5.223177606e+03  2.2e-01  0.01  \n",
      "3   1.1e+02  5.8e-02  1.2e+03  -9.64e-01  1.616119747e+01   -4.882877744e+03  5.8e-02  0.01  \n",
      "4   2.6e+01  1.4e-02  4.2e+02  -7.56e-01  4.525275486e+01   -3.181686529e+03  1.4e-02  0.01  \n",
      "5   6.2e+00  3.3e-03  8.0e+01  -7.13e-02  5.472665254e+01   -1.175593475e+03  3.3e-03  0.01  \n",
      "6   1.7e+00  8.9e-04  1.1e+01  7.34e-01   9.734023478e+00   -3.424964055e+02  8.9e-04  0.01  \n",
      "7   7.1e-01  3.8e-04  2.8e+00  1.04e+00   4.396160085e+01   -9.909779205e+01  3.8e-04  0.01  \n",
      "8   4.4e-02  2.4e-05  3.7e-02  1.06e+00   7.550797519e-01   -7.803276018e+00  2.4e-05  0.01  \n",
      "9   2.9e-05  1.5e-08  6.0e-07  1.01e+00   4.875726181e-04   -5.034395520e-03  1.5e-08  0.01  \n",
      "10  1.4e-08  7.5e-12  6.4e-12  1.00e+00   2.380715567e-07   -2.458190505e-06  7.5e-12  0.01  \n",
      "11  4.0e-12  3.5e-17  4.7e-20  1.00e+00   4.852144707e-16   -1.923559408e-14  5.5e-20  0.02  \n",
      "Optimizer terminated. Time: 0.02    \n",
      "\n",
      "[1037.4951793364824, -92.16478260639465, -29.9746966041084, -82.02064037835105, 1.4419426432752767, 7.714488418651804, 7.562190891552618]\n",
      "N: 40\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1088            \n",
      "  Cones                  : 155             \n",
      "  Scalar variables       : 1123            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 37\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1088            \n",
      "  Cones                  : 155             \n",
      "  Scalar variables       : 1123            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 530\n",
      "Optimizer  - Cones                  : 153\n",
      "Optimizer  - Scalar variables       : 832               conic                  : 643             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 7404              after factor           : 1.24e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 4.65e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   1.8e+03  1.0e+00  5.1e+03  0.00e+00   1.000000000e+00   -5.126994363e+03  1.0e+00  0.00  \n",
      "1   1.1e+03  5.9e-01  3.9e+03  -9.98e-01  1.681276284e+00   -5.119166587e+03  5.9e-01  0.01  \n",
      "2   3.9e+02  2.2e-01  2.4e+03  -9.92e-01  4.615318378e+00   -5.061624359e+03  2.2e-01  0.01  \n",
      "3   1.1e+02  5.9e-02  1.2e+03  -9.62e-01  1.583615305e+01   -4.721905007e+03  5.9e-02  0.01  \n",
      "4   2.6e+01  1.4e-02  4.0e+02  -7.48e-01  4.409362192e+01   -3.033796966e+03  1.4e-02  0.01  \n",
      "5   5.7e+00  3.2e-03  7.2e+01  -5.74e-02  5.143006511e+01   -1.063933798e+03  3.2e-03  0.01  \n",
      "6   1.6e+00  9.0e-04  1.1e+01  7.65e-01   4.048505380e+00   -3.310509363e+02  9.0e-04  0.01  \n",
      "7   4.6e-01  2.6e-04  1.4e+00  1.06e+00   2.365809852e+01   -6.598712496e+01  2.6e-04  0.01  \n",
      "8   9.4e-03  5.2e-06  3.0e-03  1.05e+00   2.797133955e-01   -1.487864913e+00  5.2e-06  0.01  \n",
      "9   4.6e-06  2.6e-09  3.2e-08  1.00e+00   1.377322375e-04   -7.326946240e-04  2.6e-09  0.01  \n",
      "10  1.7e-11  9.5e-15  1.2e-13  1.00e+00   1.942121068e-10   -3.021976119e-09  9.5e-15  0.01  \n",
      "Optimizer terminated. Time: 0.01    \n",
      "\n",
      "[996.3199154668603, -91.19998935989781, -26.210591527016152, -82.68040435496289, 2.4172360515478264, 7.341927783177651, 7.560843460290928]\n",
      "N: 39\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1060            \n",
      "  Cones                  : 151             \n",
      "  Scalar variables       : 1094            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 36\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1060            \n",
      "  Cones                  : 151             \n",
      "  Scalar variables       : 1094            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 516\n",
      "Optimizer  - Cones                  : 149\n",
      "Optimizer  - Scalar variables       : 810               conic                  : 626             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 7133              after factor           : 1.20e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 4.43e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   1.7e+03  1.0e+00  5.0e+03  0.00e+00   1.000000000e+00   -4.965676714e+03  1.0e+00  0.00  \n",
      "1   1.0e+03  5.9e-01  3.8e+03  -9.98e-01  1.682510951e+00   -4.957715673e+03  5.9e-01  0.01  \n",
      "2   3.7e+02  2.2e-01  2.3e+03  -9.92e-01  4.619304481e+00   -4.899310517e+03  2.2e-01  0.01  \n",
      "3   1.0e+02  6.0e-02  1.1e+03  -9.60e-01  1.552965675e+01   -4.559279309e+03  6.0e-02  0.01  \n",
      "4   2.5e+01  1.4e-02  3.9e+02  -7.39e-01  4.278790872e+01   -2.886464961e+03  1.4e-02  0.01  \n",
      "5   5.2e+00  3.0e-03  6.3e+01  -4.28e-02  4.772630331e+01   -9.544427985e+02  3.0e-03  0.01  \n",
      "6   2.0e+00  1.1e-03  1.5e+01  7.97e-01   4.101149963e+00   -3.915322955e+02  1.1e-03  0.01  \n",
      "7   3.5e-01  2.1e-04  8.3e-01  1.03e+00   1.505153946e+01   -5.260522954e+01  2.1e-04  0.01  \n",
      "8   7.4e-03  4.3e-06  2.1e-03  1.07e+00   2.475790928e-01   -1.117524983e+00  4.3e-06  0.01  \n",
      "9   3.6e-06  2.1e-09  2.3e-08  1.00e+00   1.214663822e-04   -5.484127176e-04  2.1e-09  0.01  \n",
      "10  1.1e-11  5.6e-15  6.1e-14  1.00e+00   1.478666727e-10   -1.641346166e-09  5.6e-15  0.01  \n",
      "Optimizer terminated. Time: 0.01    \n",
      "\n",
      "[954.8326767271172, -89.72933248991416, -22.64533738441567, -83.26853905495823, 3.4653961350988625, 6.9190843734632015, 7.559400033527882]\n",
      "N: 38\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1032            \n",
      "  Cones                  : 147             \n",
      "  Scalar variables       : 1065            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 35\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1032            \n",
      "  Cones                  : 147             \n",
      "  Scalar variables       : 1065            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 502\n",
      "Optimizer  - Cones                  : 145\n",
      "Optimizer  - Scalar variables       : 788               conic                  : 609             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 6866              after factor           : 1.16e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 4.22e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   1.7e+03  1.0e+00  4.8e+03  0.00e+00   1.000000000e+00   -4.803818709e+03  1.0e+00  0.00  \n",
      "1   9.8e+02  5.9e-01  3.7e+03  -9.98e-01  1.683388197e+00   -4.795714708e+03  5.9e-01  0.01  \n",
      "2   3.5e+02  2.1e-01  2.2e+03  -9.91e-01  4.629156920e+00   -4.736236482e+03  2.1e-01  0.01  \n",
      "3   1.0e+02  6.1e-02  1.1e+03  -9.58e-01  1.531703642e+01   -4.391923101e+03  6.1e-02  0.01  \n",
      "4   2.4e+01  1.4e-02  3.7e+02  -7.27e-01  4.131916950e+01   -2.734741624e+03  1.4e-02  0.01  \n",
      "5   4.6e+00  2.8e-03  5.4e+01  -2.54e-02  4.343952873e+01   -8.358827748e+02  2.8e-03  0.01  \n",
      "6   2.2e+00  1.3e-03  1.7e+01  8.34e-01   4.106307940e+00   -4.191610837e+02  1.3e-03  0.01  \n",
      "7   3.6e-01  2.2e-04  8.3e-01  1.01e+00   8.964611874e+00   -5.878098269e+01  2.2e-04  0.01  \n",
      "8   6.4e-03  3.9e-06  1.6e-03  1.08e+00   1.412879042e-01   -1.012613295e+00  3.9e-06  0.01  \n",
      "9   6.3e-06  3.8e-09  4.9e-08  1.00e+00   1.380655624e-04   -9.895952102e-04  3.8e-09  0.01  \n",
      "10  2.9e-11  1.8e-14  2.3e-13  1.00e+00   3.070191777e-10   -4.932369013e-09  1.8e-14  0.01  \n",
      "Optimizer terminated. Time: 0.01    \n",
      "\n",
      "[913.0759952024766, -87.74210457749432, -19.30878660359209, -83.75817582603179, 4.4835188432648145, 6.427114462753034, 7.557851871408958]\n",
      "N: 37\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1004            \n",
      "  Cones                  : 143             \n",
      "  Scalar variables       : 1036            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 34\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 1004            \n",
      "  Cones                  : 143             \n",
      "  Scalar variables       : 1036            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 488\n",
      "Optimizer  - Cones                  : 141\n",
      "Optimizer  - Scalar variables       : 766               conic                  : 592             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 6603              after factor           : 1.11e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 4.03e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   1.6e+03  1.0e+00  4.6e+03  0.00e+00   1.000000000e+00   -4.641494015e+03  1.0e+00  0.00  \n",
      "1   9.4e+02  5.9e-01  3.6e+03  -9.97e-01  1.683896478e+00   -4.633236323e+03  5.9e-01  0.00  \n",
      "2   3.4e+02  2.1e-01  2.1e+03  -9.91e-01  4.644724536e+00   -4.572463358e+03  2.1e-01  0.01  \n",
      "3   9.6e+01  6.1e-02  1.1e+03  -9.55e-01  1.520128083e+01   -4.219529098e+03  6.1e-02  0.01  \n",
      "4   2.2e+01  1.4e-02  3.4e+02  -7.11e-01  3.977275001e+01   -2.576016870e+03  1.4e-02  0.01  \n",
      "5   4.0e+00  2.5e-03  4.5e+01  -3.09e-03  3.865932474e+01   -7.114345941e+02  2.5e-03  0.01  \n",
      "6   2.0e+00  1.2e-03  1.5e+01  8.77e-01   3.960251021e+00   -3.702723457e+02  1.2e-03  0.01  \n",
      "7   2.4e-01  1.5e-04  4.3e-01  1.03e+00   2.244490814e+00   -4.223557170e+01  1.5e-04  0.01  \n",
      "8   1.3e-03  8.5e-07  1.8e-04  1.08e+00   3.112335574e-03   -2.315478376e-01  8.5e-07  0.01  \n",
      "9   2.6e-06  1.7e-09  1.6e-08  1.00e+00   6.077069157e-06   -4.521144186e-04  1.7e-09  0.01  \n",
      "10  5.3e-12  2.2e-15  2.1e-14  1.00e+00   6.860315279e-12   -6.071992654e-10  2.2e-15  0.01  \n",
      "Optimizer terminated. Time: 0.01    \n",
      "\n",
      "[871.1036769840855, -85.2490644936398, -16.233823143449065, -84.13108597341736, 5.48864327000584, 5.872735145566558, 7.556207426167252]\n",
      "N: 36\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 976             \n",
      "  Cones                  : 139             \n",
      "  Scalar variables       : 1007            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 33\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 976             \n",
      "  Cones                  : 139             \n",
      "  Scalar variables       : 1007            \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 474\n",
      "Optimizer  - Cones                  : 137\n",
      "Optimizer  - Scalar variables       : 744               conic                  : 575             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 6344              after factor           : 1.07e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 3.76e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   1.5e+03  1.0e+00  4.5e+03  0.00e+00   1.000000000e+00   -4.478795827e+03  1.0e+00  0.00  \n",
      "1   8.9e+02  5.9e-01  3.4e+03  -9.97e-01  1.684022624e+00   -4.470372433e+03  5.9e-01  0.01  \n",
      "2   3.4e+02  2.3e-01  2.1e+03  -9.90e-01  4.368960072e+00   -4.412938276e+03  2.3e-01  0.01  \n",
      "3   1.3e+02  8.7e-02  1.3e+03  -9.57e-01  1.114786172e+01   -4.205540182e+03  8.7e-02  0.01  \n",
      "4   4.7e+01  3.1e-02  6.3e+02  -8.11e-01  2.534634595e+01   -3.418537138e+03  3.1e-02  0.01  \n",
      "5   1.4e+01  9.2e-03  2.0e+02  -4.09e-01  4.010414124e+01   -1.907014302e+03  9.2e-03  0.01  \n",
      "6   2.4e+00  1.6e-03  2.0e+01  2.88e-01   2.539755729e+01   -4.234077520e+02  1.6e-03  0.01  \n",
      "7   1.3e+00  8.4e-04  7.3e+00  9.78e-01   2.393731004e+00   -2.314439860e+02  8.4e-04  0.01  \n",
      "8   1.7e-01  1.1e-04  3.0e-01  1.07e+00   5.170187715e-01   -2.927711913e+01  1.1e-04  0.01  \n",
      "9   6.3e-04  4.2e-07  5.2e-05  1.05e+00   2.598747238e-03   -1.053191091e-01  4.2e-07  0.01  \n",
      "10  6.2e-07  4.1e-10  1.6e-09  1.00e+00   2.537714217e-06   -1.028371056e-04  4.1e-10  0.01  \n",
      "11  4.4e-12  2.3e-16  8.8e-16  1.00e+00   7.075328139e-13   -5.773351752e-11  2.3e-16  0.01  \n",
      "Optimizer terminated. Time: 0.01    \n",
      "\n",
      "[828.9336611285036, -82.22502903830038, -13.466725051612096, -84.54896511997381, 6.607500308185714, 5.195652509967463, 7.554423125498682]\n",
      "N: 35\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 948             \n",
      "  Cones                  : 135             \n",
      "  Scalar variables       : 978             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 32\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 948             \n",
      "  Cones                  : 135             \n",
      "  Scalar variables       : 978             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 460\n",
      "Optimizer  - Cones                  : 133\n",
      "Optimizer  - Scalar variables       : 722               conic                  : 558             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 6089              after factor           : 1.03e+04        \n",
      "Factor     - dense dim.             : 2                 flops                  : 3.57e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   1.4e+03  1.0e+00  4.3e+03  0.00e+00   1.000000000e+00   -4.315755217e+03  1.0e+00  0.00  \n",
      "1   8.5e+02  5.9e-01  3.3e+03  -9.97e-01  1.683598487e+00   -4.307151486e+03  5.9e-01  0.00  \n",
      "2   3.3e+02  2.3e-01  2.0e+03  -9.90e-01  4.365328591e+00   -4.248707407e+03  2.3e-01  0.01  \n",
      "3   1.3e+02  9.0e-02  1.2e+03  -9.54e-01  1.070780000e+01   -4.047129391e+03  9.0e-02  0.01  \n",
      "4   4.6e+01  3.2e-02  6.1e+02  -8.08e-01  2.425164820e+01   -3.270380696e+03  3.2e-02  0.01  \n",
      "5   1.3e+01  9.1e-03  1.9e+02  -4.01e-01  3.744241162e+01   -1.779507625e+03  9.1e-03  0.01  \n",
      "6   2.3e+00  1.6e-03  1.8e+01  3.17e-01   2.034748283e+01   -3.972630495e+02  1.6e-03  0.01  \n",
      "7   8.0e-01  5.6e-04  3.5e+00  9.89e-01   1.879307648e+00   -1.407626433e+02  5.6e-04  0.01  \n",
      "8   7.8e-02  5.5e-05  9.2e-02  1.09e+00   1.528710005e-01   -1.302316918e+01  5.5e-05  0.01  \n",
      "9   1.1e-04  7.4e-08  4.0e-06  1.03e+00   2.126705853e-04   -1.746387730e-02  7.4e-08  0.01  \n",
      "10  2.1e-07  1.4e-10  3.4e-10  1.00e+00   4.153614279e-07   -3.410823421e-05  1.4e-10  0.01  \n",
      "11  3.3e-12  2.8e-17  5.3e-17  1.00e+00   4.417828260e-14   -5.292230261e-12  2.2e-17  0.01  \n",
      "Optimizer terminated. Time: 0.01    \n",
      "\n",
      "[786.5728475541899, -78.67971454361573, -11.053957817540255, -84.89427853203972, 7.573758360648725, 4.455412357972842, 7.5525633885859875]\n",
      "N: 34\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 920             \n",
      "  Cones                  : 131             \n",
      "  Scalar variables       : 949             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 31\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 920             \n",
      "  Cones                  : 131             \n",
      "  Scalar variables       : 949             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 446\n",
      "Optimizer  - Cones                  : 129\n",
      "Optimizer  - Scalar variables       : 700               conic                  : 541             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 5838              after factor           : 9923            \n",
      "Factor     - dense dim.             : 2                 flops                  : 3.39e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   1.4e+03  1.0e+00  4.2e+03  0.00e+00   1.000000000e+00   -4.152384136e+03  1.0e+00  0.00  \n",
      "1   8.1e+02  5.9e-01  3.2e+03  -9.97e-01  1.682674724e+00   -4.143583580e+03  5.9e-01  0.00  \n",
      "2   3.1e+02  2.3e-01  2.0e+03  -9.89e-01  4.359464830e+00   -4.084051684e+03  2.3e-01  0.01  \n",
      "3   1.3e+02  9.3e-02  1.2e+03  -9.51e-01  1.033672353e+01   -3.885987461e+03  9.3e-02  0.01  \n",
      "4   4.4e+01  3.3e-02  5.9e+02  -8.02e-01  2.321956524e+01   -3.116436116e+03  3.3e-02  0.01  \n",
      "5   1.2e+01  8.9e-03  1.8e+02  -3.90e-01  3.475349821e+01   -1.650234326e+03  8.9e-03  0.01  \n",
      "6   2.2e+00  1.6e-03  1.7e+01  3.48e-01   1.570651302e+01   -3.749842985e+02  1.6e-03  0.01  \n",
      "7   5.6e-01  4.1e-04  1.9e+00  1.00e+00   4.076121736e+00   -9.276123035e+01  4.1e-04  0.01  \n",
      "8   4.5e-02  3.3e-05  3.8e-02  1.10e+00   1.752755712e-01   -7.067616978e+00  3.3e-05  0.01  \n",
      "9   5.7e-05  4.2e-08  1.7e-06  1.02e+00   2.071791877e-04   -9.040298765e-03  4.2e-08  0.01  \n",
      "10  5.6e-08  4.1e-11  5.1e-11  1.00e+00   2.023210353e-07   -8.828312928e-06  4.1e-11  0.01  \n",
      "11  2.2e-12  1.0e-17  2.1e-18  1.00e+00   5.187450395e-15   -3.640486081e-13  1.7e-18  0.01  \n",
      "Optimizer terminated. Time: 0.01    \n",
      "\n",
      "[744.0774896016466, -74.70670913234376, -9.013668935659018, -85.08714507957772, 8.318262252944722, 3.7057400362673305, 7.550633115322376]\n",
      "N: 33\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 892             \n",
      "  Cones                  : 127             \n",
      "  Scalar variables       : 920             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 30\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 892             \n",
      "  Cones                  : 127             \n",
      "  Scalar variables       : 920             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 432\n",
      "Optimizer  - Cones                  : 125\n",
      "Optimizer  - Scalar variables       : 678               conic                  : 524             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 5591              after factor           : 9441            \n",
      "Factor     - dense dim.             : 2                 flops                  : 3.17e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   1.3e+03  1.0e+00  4.0e+03  0.00e+00   1.000000000e+00   -3.988780017e+03  1.0e+00  0.00  \n",
      "1   7.6e+02  5.9e-01  3.1e+03  -9.97e-01  1.681313682e+00   -3.979763896e+03  5.9e-01  0.00  \n",
      "2   2.9e+02  2.3e-01  1.9e+03  -9.88e-01  4.352511661e+00   -3.919049391e+03  2.3e-01  0.01  \n",
      "3   1.2e+02  9.5e-02  1.2e+03  -9.47e-01  1.002663774e+01   -3.722345116e+03  9.5e-02  0.01  \n",
      "4   4.2e+01  3.3e-02  5.6e+02  -7.95e-01  2.230225905e+01   -2.954970391e+03  3.3e-02  0.01  \n",
      "5   1.1e+01  8.7e-03  1.6e+02  -3.74e-01  3.209866456e+01   -1.520338104e+03  8.7e-03  0.01  \n",
      "6   2.4e+00  1.8e-03  1.9e+01  3.83e-01   1.252071925e+01   -4.010144404e+02  1.8e-03  0.01  \n",
      "7   5.8e-01  4.5e-04  2.0e+00  9.84e-01   2.868355160e+00   -9.454059181e+01  4.5e-04  0.01  \n",
      "8   3.6e-02  2.8e-05  2.7e-02  1.11e+00   8.781396248e-02   -5.672773005e+00  2.8e-05  0.01  \n",
      "9   4.2e-05  3.3e-08  1.0e-06  1.02e+00   1.015547415e-04   -6.561537250e-03  3.3e-08  0.01  \n",
      "10  4.1e-08  3.2e-11  3.2e-11  1.00e+00   9.917362226e-08   -6.407690950e-06  3.2e-11  0.01  \n",
      "11  2.2e-12  3.8e-17  9.9e-19  1.00e+00   2.095869675e-15   -2.001467474e-13  9.9e-19  0.01  \n",
      "Optimizer terminated. Time: 0.01    \n",
      "\n",
      "[701.5712902203059, -70.45344910794795, -7.329588351742798, -84.93764830737076, 8.694773350049216, 3.0305807177982436, 7.548613744512699]\n",
      "N: 32\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 864             \n",
      "  Cones                  : 123             \n",
      "  Scalar variables       : 891             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 29\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 864             \n",
      "  Cones                  : 123             \n",
      "  Scalar variables       : 891             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 418\n",
      "Optimizer  - Cones                  : 121\n",
      "Optimizer  - Scalar variables       : 656               conic                  : 507             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 5348              after factor           : 9059            \n",
      "Factor     - dense dim.             : 2                 flops                  : 2.99e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   1.2e+03  1.0e+00  3.8e+03  0.00e+00   1.000000000e+00   -3.825157120e+03  1.0e+00  0.00  \n",
      "1   7.2e+02  5.9e-01  2.9e+03  -9.97e-01  1.679756648e+00   -3.815904935e+03  5.9e-01  0.00  \n",
      "2   2.8e+02  2.3e-01  1.8e+03  -9.88e-01  4.347417795e+00   -3.753887841e+03  2.3e-01  0.01  \n",
      "3   1.2e+02  9.6e-02  1.1e+03  -9.43e-01  9.786680266e+00   -3.556208141e+03  9.6e-02  0.01  \n",
      "4   4.0e+01  3.3e-02  5.3e+02  -7.85e-01  2.158502676e+01   -2.783642002e+03  3.3e-02  0.01  \n",
      "5   1.0e+01  8.5e-03  1.5e+02  -3.52e-01  2.961551605e+01   -1.392379504e+03  8.5e-03  0.01  \n",
      "6   2.5e+00  2.0e-03  2.0e+01  4.19e-01   1.017615889e+01   -4.116600500e+02  2.0e-03  0.01  \n",
      "7   4.9e-01  4.0e-04  1.5e+00  9.74e-01   1.963628500e+00   -7.916478767e+01  4.0e-04  0.01  \n",
      "8   2.1e-02  1.7e-05  1.2e-02  1.12e+00   3.329576342e-02   -3.211085774e+00  1.7e-05  0.01  \n",
      "9   4.3e-05  3.5e-08  1.1e-06  1.01e+00   6.729675407e-05   -6.476244761e-03  3.5e-08  0.01  \n",
      "10  8.3e-08  6.9e-11  9.1e-11  1.00e+00   1.314376756e-07   -1.264879060e-05  6.9e-11  0.01  \n",
      "11  2.7e-12  1.0e-16  5.5e-18  1.00e+00   6.425483098e-15   -7.720153620e-13  4.2e-18  0.01  \n",
      "Optimizer terminated. Time: 0.01    \n",
      "\n",
      "[659.2710929237361, -66.08280572515814, -5.963689139608467, -84.26313986826091, 8.787790221130626, 2.4330157444947065, 7.546504403883168]\n",
      "N: 31\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 836             \n",
      "  Cones                  : 119             \n",
      "  Scalar variables       : 862             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 28\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 836             \n",
      "  Cones                  : 119             \n",
      "  Scalar variables       : 862             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 404\n",
      "Optimizer  - Cones                  : 117\n",
      "Optimizer  - Scalar variables       : 634               conic                  : 490             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 5109              after factor           : 8687            \n",
      "Factor     - dense dim.             : 2                 flops                  : 2.82e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   1.1e+03  1.0e+00  3.7e+03  0.00e+00   1.000000000e+00   -3.661891029e+03  1.0e+00  0.00  \n",
      "1   6.8e+02  5.9e-01  2.8e+03  -9.96e-01  1.678355616e+00   -3.652380679e+03  5.9e-01  0.00  \n",
      "2   2.6e+02  2.3e-01  1.7e+03  -9.87e-01  4.347360504e+00   -3.588914405e+03  2.3e-01  0.00  \n",
      "3   1.1e+02  9.7e-02  1.1e+03  -9.39e-01  9.621202878e+00   -3.387694541e+03  9.7e-02  0.01  \n",
      "4   3.6e+01  3.2e-02  4.9e+02  -7.72e-01  2.109835152e+01   -2.599452932e+03  3.2e-02  0.01  \n",
      "5   9.4e+00  8.2e-03  1.3e+02  -3.21e-01  2.719751866e+01   -1.267044240e+03  8.2e-03  0.01  \n",
      "6   2.4e+00  2.1e-03  2.0e+01  4.56e-01   7.988507258e+00   -3.945738089e+02  2.1e-03  0.01  \n",
      "7   3.3e-01  2.9e-04  7.8e-01  9.81e-01   1.352582137e+00   -5.238450952e+01  2.9e-04  0.01  \n",
      "8   8.8e-03  7.7e-06  3.2e-03  1.13e+00   1.385944818e-02   -1.299731679e+00  7.7e-06  0.01  \n",
      "9   1.7e-05  1.5e-08  2.8e-07  1.00e+00   2.720771946e-05   -2.552211005e-03  1.5e-08  0.01  \n",
      "10  3.4e-08  2.9e-11  2.4e-11  1.00e+00   5.313986507e-08   -4.984767237e-06  2.9e-11  0.01  \n",
      "11  3.4e-12  5.6e-17  5.5e-19  1.00e+00   9.937835581e-16   -1.151113186e-13  6.8e-19  0.01  \n",
      "Optimizer terminated. Time: 0.01    \n",
      "\n",
      "[617.4775866881132, -61.71370301551167, -4.865243375971972, -82.91088618400391, 8.688603708105806, 1.9607677341795124, 7.544309510268646]\n",
      "N: 30\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 808             \n",
      "  Cones                  : 115             \n",
      "  Scalar variables       : 833             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 27\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 808             \n",
      "  Cones                  : 115             \n",
      "  Scalar variables       : 833             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 390\n",
      "Optimizer  - Cones                  : 113\n",
      "Optimizer  - Scalar variables       : 612               conic                  : 473             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 4874              after factor           : 8329            \n",
      "Factor     - dense dim.             : 2                 flops                  : 2.66e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   1.1e+03  1.0e+00  3.5e+03  0.00e+00   1.000000000e+00   -3.499502553e+03  1.0e+00  0.00  \n",
      "1   6.3e+02  5.9e-01  2.7e+03  -9.96e-01  1.677582627e+00   -3.489710665e+03  5.9e-01  0.00  \n",
      "2   2.4e+02  2.3e-01  1.6e+03  -9.86e-01  4.355723711e+00   -3.424623452e+03  2.3e-01  0.01  \n",
      "3   1.0e+02  9.7e-02  1.0e+03  -9.34e-01  9.539770379e+00   -3.216836319e+03  9.7e-02  0.01  \n",
      "4   3.2e+01  3.0e-02  4.5e+02  -7.56e-01  2.082501751e+01   -2.401936413e+03  3.0e-02  0.01  \n",
      "5   8.4e+00  7.9e-03  1.2e+02  -2.78e-01  2.477585636e+01   -1.141661767e+03  7.9e-03  0.01  \n",
      "6   2.1e+00  1.9e-03  1.6e+01  4.96e-01   5.257922979e+00   -3.350241525e+02  1.9e-03  0.01  \n",
      "7   2.6e-01  2.4e-04  5.2e-01  1.02e+00   1.114409557e+00   -3.958768757e+01  2.4e-04  0.01  \n",
      "8   3.8e-03  3.6e-06  8.2e-04  1.12e+00   7.865860753e-03   -5.511210704e-01  3.6e-06  0.01  \n",
      "9   3.7e-06  3.5e-09  2.5e-08  1.00e+00   7.697519880e-06   -5.390052244e-04  3.5e-09  0.01  \n",
      "10  1.8e-11  1.7e-14  1.2e-13  1.00e+00   2.953882875e-11   -2.658813832e-09  1.7e-14  0.01  \n",
      "Optimizer terminated. Time: 0.01    \n",
      "\n",
      "[576.4864830446686, -57.414145968974566, -3.973767689578777, -81.05353037984864, 8.509602487435012, 1.6051357719504922, 7.542045661188768]\n",
      "N: 29\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 780             \n",
      "  Cones                  : 111             \n",
      "  Scalar variables       : 804             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 26\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 780             \n",
      "  Cones                  : 111             \n",
      "  Scalar variables       : 804             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 376\n",
      "Optimizer  - Cones                  : 109\n",
      "Optimizer  - Scalar variables       : 590               conic                  : 456             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 4643              after factor           : 7856            \n",
      "Factor     - dense dim.             : 2                 flops                  : 2.45e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   1.0e+03  1.0e+00  3.3e+03  0.00e+00   1.000000000e+00   -3.338503879e+03  1.0e+00  0.00  \n",
      "1   5.9e+02  5.9e-01  2.6e+03  -9.96e-01  1.677669829e+00   -3.328403830e+03  5.9e-01  0.00  \n",
      "2   2.2e+02  2.2e-01  1.6e+03  -9.85e-01  4.372486846e+00   -3.261518273e+03  2.2e-01  0.00  \n",
      "3   9.5e+01  9.5e-02  9.5e+02  -9.28e-01  9.543364876e+00   -3.043569855e+03  9.5e-02  0.01  \n",
      "4   2.8e+01  2.8e-02  4.0e+02  -7.36e-01  2.083795038e+01   -2.181579832e+03  2.8e-02  0.01  \n",
      "5   7.3e+00  7.3e-03  9.9e+01  -2.18e-01  2.220539593e+01   -9.955260602e+02  7.3e-03  0.01  \n",
      "6   1.7e+00  1.7e-03  1.2e+01  5.56e-01   2.716537063e+00   -2.753702131e+02  1.7e-03  0.01  \n",
      "7   2.1e-01  2.1e-04  3.7e-01  1.06e+00   5.207311943e-01   -3.121449318e+01  2.1e-04  0.01  \n",
      "8   4.0e-03  4.0e-06  9.0e-04  1.11e+00   9.042974115e-03   -5.657841433e-01  4.0e-06  0.01  \n",
      "9   3.9e-06  3.9e-09  2.8e-08  1.00e+00   8.857200487e-06   -5.535534408e-04  3.9e-09  0.01  \n",
      "10  1.9e-11  1.9e-14  1.4e-13  1.00e+00   2.989157098e-11   -2.749723297e-09  1.9e-14  0.01  \n",
      "Optimizer terminated. Time: 0.01    \n",
      "\n",
      "[536.5116031753798, -53.211373311784115, -3.24074205257035, -78.84599140848424, 8.301462613630305, 1.326967659358141, 7.5397242008611824]\n",
      "N: 28\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 752             \n",
      "  Cones                  : 107             \n",
      "  Scalar variables       : 775             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 25\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 752             \n",
      "  Cones                  : 107             \n",
      "  Scalar variables       : 775             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 362\n",
      "Optimizer  - Cones                  : 105\n",
      "Optimizer  - Scalar variables       : 568               conic                  : 439             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 4416              after factor           : 7490            \n",
      "Factor     - dense dim.             : 2                 flops                  : 2.30e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   9.3e+02  1.0e+00  3.2e+03  0.00e+00   1.000000000e+00   -3.179265356e+03  1.0e+00  0.00  \n",
      "1   5.5e+02  5.9e-01  2.4e+03  -9.95e-01  1.678889541e+00   -3.168825953e+03  5.9e-01  0.00  \n",
      "2   2.1e+02  2.2e-01  1.5e+03  -9.84e-01  4.397683613e+00   -3.099954210e+03  2.2e-01  0.00  \n",
      "3   8.6e+01  9.2e-02  8.9e+02  -9.21e-01  9.643885968e+00   -2.867190693e+03  9.2e-02  0.01  \n",
      "4   2.6e+01  2.8e-02  3.7e+02  -7.11e-01  1.981042464e+01   -2.039569347e+03  2.8e-02  0.01  \n",
      "5   6.6e+00  7.1e-03  8.9e+01  -1.96e-01  2.015087150e+01   -9.024770306e+02  7.1e-03  0.01  \n",
      "6   1.7e+00  1.9e-03  1.2e+01  5.86e-01   2.585605132e+00   -2.702442147e+02  1.9e-03  0.01  \n",
      "7   2.1e-01  2.2e-04  3.7e-01  1.05e+00   3.979544545e-01   -3.047507745e+01  2.2e-04  0.01  \n",
      "8   5.2e-03  5.6e-06  1.4e-03  1.11e+00   9.097462308e-03   -7.231003197e-01  5.6e-06  0.01  \n",
      "9   1.0e-05  1.1e-08  1.2e-07  1.00e+00   1.780428143e-05   -1.414173615e-03  1.1e-08  0.01  \n",
      "10  2.0e-08  2.2e-11  1.0e-11  1.00e+00   3.477386481e-08   -2.762048116e-06  2.2e-11  0.01  \n",
      "11  5.0e-12  4.9e-17  1.8e-19  1.00e+00   3.682397144e-16   -4.937224070e-14  3.8e-19  0.01  \n",
      "Optimizer terminated. Time: 0.01    \n",
      "\n",
      "[497.6955943772617, -49.11573925163178, -2.6319085384341863, -76.41804623017967, 8.081045918599989, 1.108367332060332, 7.53735985638787]\n",
      "N: 27\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 724             \n",
      "  Cones                  : 103             \n",
      "  Scalar variables       : 746             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 24\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 724             \n",
      "  Cones                  : 103             \n",
      "  Scalar variables       : 746             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 348\n",
      "Optimizer  - Cones                  : 101\n",
      "Optimizer  - Scalar variables       : 546               conic                  : 422             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 4193              after factor           : 7134            \n",
      "Factor     - dense dim.             : 2                 flops                  : 2.15e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   8.6e+02  1.0e+00  3.0e+03  0.00e+00   1.000000000e+00   -3.022034056e+03  1.0e+00  0.00  \n",
      "1   5.1e+02  5.9e-01  2.3e+03  -9.95e-01  1.681584699e+00   -3.011217717e+03  5.9e-01  0.00  \n",
      "2   1.9e+02  2.2e-01  1.4e+03  -9.82e-01  4.431814442e+00   -2.940139006e+03  2.2e-01  0.00  \n",
      "3   7.6e+01  8.8e-02  8.1e+02  -9.13e-01  9.860907349e+00   -2.686201610e+03  8.8e-02  0.00  \n",
      "4   2.4e+01  2.8e-02  3.4e+02  -6.79e-01  1.894548782e+01   -1.885524026e+03  2.8e-02  0.01  \n",
      "5   5.8e+00  6.7e-03  7.6e+01  -1.61e-01  1.794834124e+01   -7.894472491e+02  6.7e-03  0.01  \n",
      "6   1.7e+00  1.9e-03  1.2e+01  6.37e-01   2.417939479e+00   -2.562668476e+02  1.9e-03  0.01  \n",
      "7   1.9e-01  2.2e-04  3.3e-01  1.04e+00   2.904311377e-01   -2.771157159e+01  2.2e-04  0.01  \n",
      "8   4.5e-03  5.2e-06  1.1e-03  1.12e+00   6.176925478e-03   -6.110565607e-01  5.2e-06  0.01  \n",
      "9   8.8e-06  1.0e-08  9.5e-08  1.00e+00   1.210054085e-05   -1.196570108e-03  1.0e-08  0.01  \n",
      "10  6.9e-11  8.0e-14  7.4e-13  1.00e+00   5.945383711e-11   -9.430594178e-09  8.0e-14  0.01  \n",
      "Optimizer terminated. Time: 0.01    \n",
      "\n",
      "[460.12751447446027, -45.131025045073606, -2.1217041172046747, -73.85427585816373, 7.85778188058808, 0.9324512995583923, 7.534965645932179]\n",
      "N: 26\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 696             \n",
      "  Cones                  : 99              \n",
      "  Scalar variables       : 717             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 23\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 696             \n",
      "  Cones                  : 99              \n",
      "  Scalar variables       : 717             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 334\n",
      "Optimizer  - Cones                  : 97\n",
      "Optimizer  - Scalar variables       : 524               conic                  : 405             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 3974              after factor           : 6792            \n",
      "Factor     - dense dim.             : 2                 flops                  : 2.01e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   8.0e+02  1.0e+00  2.9e+03  0.00e+00   1.000000000e+00   -2.866964233e+03  1.0e+00  0.00  \n",
      "1   4.7e+02  5.9e-01  2.2e+03  -9.94e-01  1.686237222e+00   -2.855724633e+03  5.9e-01  0.00  \n",
      "2   1.7e+02  2.2e-01  1.3e+03  -9.81e-01  4.411950346e+00   -2.783860929e+03  2.2e-01  0.00  \n",
      "3   6.7e+01  8.4e-02  7.5e+02  -9.07e-01  1.004194719e+01   -2.509167485e+03  8.4e-02  0.01  \n",
      "4   2.1e+01  2.6e-02  3.0e+02  -6.46e-01  1.830987655e+01   -1.714499615e+03  2.6e-02  0.01  \n",
      "5   4.8e+00  6.1e-03  6.1e+01  -1.09e-01  1.554324440e+01   -6.652957046e+02  6.1e-03  0.01  \n",
      "6   1.5e+00  1.9e-03  1.0e+01  7.04e-01   2.160154747e+00   -2.240171473e+02  1.9e-03  0.01  \n",
      "7   1.7e-01  2.1e-04  2.7e-01  1.05e+00   2.027044395e-01   -2.344680800e+01  2.1e-04  0.01  \n",
      "8   3.2e-03  4.0e-06  6.5e-04  1.11e+00   3.494689600e-03   -4.190484674e-01  4.0e-06  0.01  \n",
      "9   6.2e-06  7.8e-09  5.6e-08  1.00e+00   6.835849355e-06   -8.195718758e-04  7.8e-09  0.01  \n",
      "10  3.2e-11  4.0e-14  2.9e-13  1.00e+00   2.230536626e-11   -4.277074103e-09  4.0e-14  0.01  \n",
      "Optimizer terminated. Time: 0.01    \n",
      "\n",
      "[423.8551518150935, -41.261552875112805, -1.6917787539935079, -71.23517741528389, 7.62007729122794, 0.7872511606928185, 7.5325540381261895]\n",
      "N: 25\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 668             \n",
      "  Cones                  : 95              \n",
      "  Scalar variables       : 688             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 22\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 668             \n",
      "  Cones                  : 95              \n",
      "  Scalar variables       : 688             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 320\n",
      "Optimizer  - Cones                  : 93\n",
      "Optimizer  - Scalar variables       : 502               conic                  : 388             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 2.14e+04          after factor           : 2.21e+04        \n",
      "Factor     - dense dim.             : 0                 flops                  : 2.84e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   7.3e+02  1.0e+00  2.7e+03  0.00e+00   1.000000000e+00   -2.714138658e+03  1.0e+00  0.00  \n",
      "1   4.3e+02  5.9e-01  2.1e+03  -9.94e-01  1.693481343e+00   -2.702417011e+03  5.9e-01  0.07  \n",
      "2   9.0e+01  1.2e-01  8.9e+02  -9.79e-01  7.394842790e+00   -2.529346560e+03  1.2e-01  0.07  \n",
      "3   1.8e+01  2.4e-02  2.7e+02  -7.56e-01  1.869155248e+01   -1.514655597e+03  2.4e-02  0.07  \n",
      "4   2.4e+00  3.3e-03  2.7e+01  -5.08e-02  9.397751274e+00   -3.522610228e+02  3.3e-03  0.07  \n",
      "5   3.0e-01  4.1e-04  9.5e-01  9.48e-01   1.060726305e+00   -4.228389227e+01  4.1e-04  0.08  \n",
      "6   3.5e-03  4.7e-06  9.7e-04  1.17e+00   8.710005597e-03   -4.391894170e-01  4.7e-06  0.08  \n",
      "7   3.4e-06  4.6e-09  3.0e-08  1.00e+00   8.494980877e-06   -4.283488611e-04  4.6e-09  0.08  \n",
      "8   8.9e-12  1.2e-14  7.8e-14  1.00e+00   7.224794840e-12   -1.160079607e-09  1.2e-14  0.08  \n",
      "Optimizer terminated. Time: 0.08    \n",
      "\n",
      "[388.8465151571893, -37.53812819779491, -1.3317049674684587, -68.79937305203451, 7.273593978659869, 0.6530454513174321, 7.530191023428268]\n",
      "N: 24\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 640             \n",
      "  Cones                  : 91              \n",
      "  Scalar variables       : 659             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 21\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 640             \n",
      "  Cones                  : 91              \n",
      "  Scalar variables       : 659             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 306\n",
      "Optimizer  - Cones                  : 89\n",
      "Optimizer  - Scalar variables       : 480               conic                  : 371             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.95e+04          after factor           : 2.02e+04        \n",
      "Factor     - dense dim.             : 0                 flops                  : 2.49e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   6.7e+02  1.0e+00  2.6e+03  0.00e+00   1.000000000e+00   -2.563501921e+03  1.0e+00  0.00  \n",
      "1   3.9e+02  5.8e-01  1.9e+03  -9.93e-01  1.703943016e+00   -2.551218359e+03  5.8e-01  0.00  \n",
      "2   8.7e+01  1.3e-01  8.7e+02  -9.77e-01  6.938683216e+00   -2.386810148e+03  1.3e-01  0.01  \n",
      "3   1.7e+01  2.5e-02  2.5e+02  -7.58e-01  1.790722612e+01   -1.405713669e+03  2.5e-02  0.01  \n",
      "4   2.2e+00  3.3e-03  2.4e+01  -2.79e-02  8.185021437e+00   -3.163935782e+02  3.3e-03  0.01  \n",
      "5   2.9e-01  4.3e-04  9.1e-01  9.62e-01   8.166391804e-01   -3.912430428e+01  4.3e-04  0.01  \n",
      "6   2.8e-03  4.1e-06  7.1e-04  1.17e+00   5.479910384e-03   -3.449659071e-01  4.1e-06  0.01  \n",
      "7   2.7e-06  4.0e-09  2.2e-08  1.00e+00   5.344908291e-06   -3.364691116e-04  4.0e-09  0.01  \n",
      "8   8.2e-12  9.1e-15  5.0e-14  1.00e+00   4.103835837e-12   -7.828710315e-10  9.1e-15  0.01  \n",
      "Optimizer terminated. Time: 0.01    \n",
      "\n",
      "[355.0980647773014, -33.98834330740833, -1.0314450558523351, -66.1944323203401, 6.925516400232844, 0.547995667600527, 7.527783330785041]\n",
      "N: 23\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 612             \n",
      "  Cones                  : 87              \n",
      "  Scalar variables       : 630             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 20\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 612             \n",
      "  Cones                  : 87              \n",
      "  Scalar variables       : 630             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 292\n",
      "Optimizer  - Cones                  : 85\n",
      "Optimizer  - Scalar variables       : 458               conic                  : 354             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.78e+04          after factor           : 1.84e+04        \n",
      "Factor     - dense dim.             : 0                 flops                  : 2.16e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   6.1e+02  1.0e+00  2.4e+03  0.00e+00   1.000000000e+00   -2.415047890e+03  1.0e+00  0.00  \n",
      "1   3.5e+02  5.8e-01  1.8e+03  -9.92e-01  1.719496056e+00   -2.402100384e+03  5.8e-01  0.00  \n",
      "2   8.3e+01  1.4e-01  8.3e+02  -9.75e-01  6.574241639e+00   -2.243220147e+03  1.4e-01  0.00  \n",
      "3   1.5e+01  2.4e-02  2.3e+02  -7.55e-01  1.733302970e+01   -1.278478699e+03  2.4e-02  0.00  \n",
      "4   1.9e+00  3.1e-03  2.0e+01  1.29e-02   6.758646641e+00   -2.733902252e+02  3.1e-03  0.01  \n",
      "5   3.1e-01  5.0e-04  9.6e-01  9.89e-01   8.726951719e-01   -4.172197479e+01  5.0e-04  0.01  \n",
      "6   2.4e-03  3.9e-06  5.1e-04  1.19e+00   4.016587549e-03   -2.994450305e-01  3.9e-06  0.01  \n",
      "7   4.7e-06  7.7e-09  4.4e-08  1.00e+00   7.833346303e-06   -5.839948027e-04  7.7e-09  0.01  \n",
      "8   2.2e-11  3.6e-14  2.1e-13  1.00e+00   1.612429054e-11   -2.763758959e-09  3.6e-14  0.01  \n",
      "Optimizer terminated. Time: 0.01    \n",
      "\n",
      "[322.6791820475654, -30.617203745824046, -0.7788675924147378, -63.481102654248566, 6.5590115491608865, 0.4623157361168809, 7.525355068751095]\n",
      "N: 22\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 584             \n",
      "  Cones                  : 83              \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  Scalar variables       : 601             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 19\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 584             \n",
      "  Cones                  : 83              \n",
      "  Scalar variables       : 601             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 278\n",
      "Optimizer  - Cones                  : 81\n",
      "Optimizer  - Scalar variables       : 436               conic                  : 337             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.62e+04          after factor           : 1.67e+04        \n",
      "Factor     - dense dim.             : 0                 flops                  : 1.86e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   5.6e+02  1.0e+00  2.3e+03  0.00e+00   1.000000000e+00   -2.268896738e+03  1.0e+00  0.00  \n",
      "1   3.2e+02  5.7e-01  1.7e+03  -9.92e-01  1.742081506e+00   -2.255148416e+03  5.7e-01  0.00  \n",
      "2   7.0e+01  1.3e-01  7.4e+02  -9.72e-01  6.886317636e+00   -2.076522946e+03  1.3e-01  0.00  \n",
      "3   1.3e+01  2.4e-02  2.1e+02  -7.11e-01  1.594664513e+01   -1.161377145e+03  2.4e-02  0.00  \n",
      "4   1.6e+00  3.0e-03  1.6e+01  5.01e-02   5.617280300e+00   -2.310118178e+02  3.0e-03  0.00  \n",
      "5   2.5e-01  4.5e-04  7.2e-01  1.02e+00   7.125794287e-01   -3.345450149e+01  4.5e-04  0.01  \n",
      "6   1.2e-03  2.1e-06  1.5e-04  1.19e+00   1.498602404e-03   -1.417185995e-01  2.1e-06  0.01  \n",
      "7   2.3e-06  4.1e-09  1.3e-08  1.00e+00   2.924395095e-06   -2.765519698e-04  4.1e-09  0.01  \n",
      "8   3.0e-11  1.1e-14  3.6e-14  1.00e+00   3.333612568e-12   -7.595811991e-10  1.1e-14  0.01  \n",
      "Optimizer terminated. Time: 0.01    \n",
      "\n",
      "[291.6453910245649, -27.425806895111123, -0.565646905972395, -60.654065338004756, 6.2065443608473005, 0.3905685002319455, 7.5228943178420336]\n",
      "N: 21\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 556             \n",
      "  Cones                  : 79              \n",
      "  Scalar variables       : 572             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 18\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 556             \n",
      "  Cones                  : 79              \n",
      "  Scalar variables       : 572             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 264\n",
      "Optimizer  - Cones                  : 77\n",
      "Optimizer  - Scalar variables       : 414               conic                  : 320             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.46e+04          after factor           : 1.51e+04        \n",
      "Factor     - dense dim.             : 0                 flops                  : 1.59e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   5.0e+02  1.0e+00  2.1e+03  0.00e+00   1.000000000e+00   -2.125144635e+03  1.0e+00  0.00  \n",
      "1   2.8e+02  5.6e-01  1.6e+03  -9.91e-01  1.774601922e+00   -2.110408943e+03  5.6e-01  0.00  \n",
      "2   6.2e+01  1.2e-01  6.8e+02  -9.69e-01  6.884784217e+00   -1.920324930e+03  1.2e-01  0.00  \n",
      "3   1.1e+01  2.3e-02  1.8e+02  -6.80e-01  1.505752778e+01   -1.025654793e+03  2.3e-02  0.00  \n",
      "4   1.2e+00  2.4e-03  1.1e+01  1.12e-01   3.964136616e+00   -1.672248361e+02  2.4e-03  0.00  \n",
      "5   1.6e-01  3.1e-04  4.1e-01  1.09e+00   3.285178407e-01   -1.956986002e+01  3.1e-04  0.01  \n",
      "6   1.0e-03  2.0e-06  1.9e-04  1.13e+00   1.757226222e-03   -1.206703937e-01  2.0e-06  0.01  \n",
      "7   2.0e-06  4.0e-09  1.7e-08  1.00e+00   3.429932111e-06   -2.355367516e-04  4.0e-09  0.01  \n",
      "8   1.1e-11  7.5e-15  3.1e-14  1.00e+00   2.234810358e-12   -4.550064662e-10  7.5e-15  0.01  \n",
      "Optimizer terminated. Time: 0.01    \n",
      "\n",
      "[262.05195576313776, -24.41105367359059, -0.3861542608212027, -57.71967962553343, 5.8524358840955015, 0.3274035776702132, 7.52039856678206]\n",
      "N: 20\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 528             \n",
      "  Cones                  : 75              \n",
      "  Scalar variables       : 543             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 17\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 528             \n",
      "  Cones                  : 75              \n",
      "  Scalar variables       : 543             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 250\n",
      "Optimizer  - Cones                  : 73\n",
      "Optimizer  - Scalar variables       : 392               conic                  : 303             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.31e+04          after factor           : 1.36e+04        \n",
      "Factor     - dense dim.             : 0                 flops                  : 1.35e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   4.5e+02  1.0e+00  2.0e+03  0.00e+00   1.000000000e+00   -1.983887302e+03  1.0e+00  0.00  \n",
      "1   2.5e+02  5.4e-01  1.5e+03  -9.90e-01  1.821305811e+00   -1.967904546e+03  5.4e-01  0.00  \n",
      "2   5.4e+01  1.2e-01  6.2e+02  -9.65e-01  6.803357909e+00   -1.767962991e+03  1.2e-01  0.00  \n",
      "3   9.5e+00  2.1e-02  1.5e+02  -6.51e-01  1.418368794e+01   -8.902151180e+02  2.1e-02  0.00  \n",
      "4   9.3e-01  2.1e-03  7.7e+00  1.83e-01   2.672877686e+00   -1.298358081e+02  2.1e-03  0.00  \n",
      "5   1.4e-01  3.0e-04  3.1e-01  1.14e+00   3.073704599e-01   -1.724009898e+01  3.0e-04  0.00  \n",
      "6   2.6e-04  5.8e-07  1.8e-05  1.15e+00   3.471505457e-04   -3.098556143e-02  5.8e-07  0.01  \n",
      "7   5.1e-07  1.1e-09  1.6e-09  1.00e+00   6.778902306e-07   -6.050634056e-05  1.1e-09  0.01  \n",
      "8   1.6e-11  5.9e-16  8.2e-16  1.00e+00   8.534026405e-14   -3.207368893e-11  5.9e-16  0.01  \n",
      "Optimizer terminated. Time: 0.01    \n",
      "\n",
      "[233.94183848271913, -21.572877633926108, -0.23640809406100707, -54.72079339237785, 5.50023495266033, 0.27158257841586014, 7.517893910195456]\n",
      "N: 19\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 500             \n",
      "  Cones                  : 71              \n",
      "  Scalar variables       : 514             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 16\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 500             \n",
      "  Cones                  : 71              \n",
      "  Scalar variables       : 514             \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 236\n",
      "Optimizer  - Cones                  : 69\n",
      "Optimizer  - Scalar variables       : 370               conic                  : 286             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.17e+04          after factor           : 1.21e+04        \n",
      "Factor     - dense dim.             : 0                 flops                  : 1.14e+06        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   4.0e+02  1.0e+00  1.8e+03  0.00e+00   1.000000000e+00   -1.845199150e+03  1.0e+00  0.00  \n",
      "1   2.1e+02  5.2e-01  1.3e+03  -9.89e-01  1.888582057e+00   -1.827597065e+03  5.2e-01  0.00  \n",
      "2   4.7e+01  1.2e-01  5.5e+02  -9.60e-01  6.780177657e+00   -1.616903242e+03  1.2e-01  0.00  \n",
      "3   7.9e+00  1.9e-02  1.3e+02  -6.16e-01  1.314159702e+01   -7.619506198e+02  1.9e-02  0.00  \n",
      "4   9.4e-01  2.3e-03  7.5e+00  2.59e-01   2.265525112e+00   -1.287809899e+02  2.3e-03  0.00  \n",
      "5   1.2e-01  3.1e-04  2.5e-01  1.10e+00   2.047141274e-01   -1.560197924e+01  3.1e-04  0.00  \n",
      "6   2.7e-04  6.6e-07  1.8e-05  1.16e+00   2.795777069e-04   -3.121533717e-02  6.6e-07  0.01  \n",
      "7   5.2e-07  1.3e-09  1.5e-09  1.00e+00   5.459231796e-07   -6.095327039e-05  1.3e-09  0.01  \n",
      "8   1.6e-11  8.6e-16  1.0e-15  1.00e+00   1.170883833e-13   -4.111778621e-11  8.6e-16  0.01  \n",
      "Optimizer terminated. Time: 0.01    \n",
      "\n",
      "[207.3567898289918, -18.909227855261424, -0.1131037626298571, -51.619405048745065, 5.154329733854686, 0.22163620959284233, 7.515358994038784]\n",
      "N: 18\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 472             \n",
      "  Cones                  : 67              \n",
      "  Scalar variables       : 485             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 15\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 472             \n",
      "  Cones                  : 67              \n",
      "  Scalar variables       : 485             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 222\n",
      "Optimizer  - Cones                  : 65\n",
      "Optimizer  - Scalar variables       : 348               conic                  : 269             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 1.03e+04          after factor           : 1.08e+04        \n",
      "Factor     - dense dim.             : 0                 flops                  : 9.46e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.6e+02  1.0e+00  1.7e+03  0.00e+00   1.000000000e+00   -1.709152495e+03  1.0e+00  0.00  \n",
      "1   1.8e+02  4.9e-01  1.2e+03  -9.87e-01  1.986598687e+00   -1.689387227e+03  4.9e-01  0.00  \n",
      "2   4.0e+01  1.1e-01  5.0e+02  -9.53e-01  6.741425159e+00   -1.470116820e+03  1.1e-01  0.00  \n",
      "3   6.3e+00  1.8e-02  1.0e+02  -5.81e-01  1.219680190e+01   -6.384664935e+02  1.8e-02  0.00  \n",
      "4   6.2e-01  1.7e-03  4.2e+00  3.43e-01   1.506798811e+00   -8.493449677e+01  1.7e-03  0.00  \n",
      "5   8.0e-02  2.2e-04  1.3e-01  1.19e+00   9.690036822e-02   -9.735052384e+00  2.2e-04  0.00  \n",
      "6   1.4e-04  3.8e-07  8.0e-06  1.11e+00   1.383135374e-04   -1.572507806e-02  3.8e-07  0.00  \n",
      "7   2.7e-07  7.4e-10  6.9e-10  1.00e+00   2.701124332e-07   -3.070949635e-05  7.4e-10  0.00  \n",
      "8   1.7e-11  2.3e-16  2.2e-16  1.00e+00   2.251392982e-14   -9.725317365e-12  2.3e-16  0.01  \n",
      "Optimizer terminated. Time: 0.01    \n",
      "\n",
      "[182.34783258271867, -16.41398168691262, -0.013900589432063978, -48.416427561231856, 4.826619405167268, 0.17517786853938286, 7.51279575816861]\n",
      "N: 17\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 444             \n",
      "  Cones                  : 63              \n",
      "  Scalar variables       : 456             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 14\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 444             \n",
      "  Cones                  : 63              \n",
      "  Scalar variables       : 456             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 208\n",
      "Optimizer  - Cones                  : 61\n",
      "Optimizer  - Scalar variables       : 326               conic                  : 252             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 9081              after factor           : 9474            \n",
      "Factor     - dense dim.             : 0                 flops                  : 7.78e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   3.1e+02  1.0e+00  1.6e+03  0.00e+00   1.000000000e+00   -1.575835711e+03  1.0e+00  0.00  \n",
      "1   1.4e+02  4.6e-01  1.1e+03  -9.86e-01  2.131690953e+00   -1.553089533e+03  4.6e-01  0.00  \n",
      "2   3.8e+01  1.2e-01  4.9e+02  -9.43e-01  6.743024849e+00   -1.374754328e+03  1.2e-01  0.00  \n",
      "3   8.6e+00  2.7e-02  1.4e+02  -5.97e-01  1.157847937e+01   -7.604099751e+02  2.7e-02  0.00  \n",
      "4   1.9e+00  6.1e-03  2.2e+01  1.32e-01   5.396848591e+00   -2.446055864e+02  6.1e-03  0.00  \n",
      "5   2.1e-01  6.8e-04  6.5e-01  8.63e-01   4.936704412e-01   -2.786311204e+01  6.8e-04  0.00  \n",
      "6   3.6e-03  1.2e-05  1.1e-03  1.24e+00   5.420170243e-03   -4.182867552e-01  1.2e-05  0.00  \n",
      "7   7.1e-06  2.3e-08  9.6e-08  1.01e+00   1.056806873e-05   -8.154806568e-04  2.3e-08  0.00  \n",
      "8   7.7e-11  2.4e-13  1.0e-12  1.00e+00   3.039288943e-11   -8.908436201e-09  2.4e-13  0.00  \n",
      "Optimizer terminated. Time: 0.00    \n",
      "\n",
      "[158.9150742530852, -14.091498946286007, 0.06319724181838716, -45.31460977474639, 4.4632771579782125, 0.13321499183022564, 7.510244220325158]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "N: 16\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(11) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(12) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(13) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(14) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(15) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(16) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(18) of matrix 'A'.\n",
      "MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row ''(19) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(20) of matrix 'A'.\n",
      "MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row ''(21) of matrix 'A'.\n",
      "Warning number 705 is disabled.\n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 416             \n",
      "  Cones                  : 59              \n",
      "  Scalar variables       : 427             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer started.\n",
      "Presolve started.\n",
      "Linear dependency checker started.\n",
      "Linear dependency checker terminated.\n",
      "Eliminator started.\n",
      "Freed constraints in eliminator : 13\n",
      "Eliminator terminated.\n",
      "Eliminator - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - tries                  : 1                 time                   : 0.00            \n",
      "Lin. dep.  - number                 : 0               \n",
      "Presolve terminated. Time: 0.00    \n",
      "Problem\n",
      "  Name                   :                 \n",
      "  Objective sense        : min             \n",
      "  Type                   : CONIC (conic optimization problem)\n",
      "  Constraints            : 416             \n",
      "  Cones                  : 59              \n",
      "  Scalar variables       : 427             \n",
      "  Matrix variables       : 0               \n",
      "  Integer variables      : 0               \n",
      "\n",
      "Optimizer  - threads                : 6               \n",
      "Optimizer  - solved problem         : the primal      \n",
      "Optimizer  - Constraints            : 194\n",
      "Optimizer  - Cones                  : 57\n",
      "Optimizer  - Scalar variables       : 304               conic                  : 235             \n",
      "Optimizer  - Semi-definite variables: 0                 scalarized             : 0               \n",
      "Factor     - setup time             : 0.00              dense det. time        : 0.00            \n",
      "Factor     - ML order time          : 0.00              GP order time          : 0.00            \n",
      "Factor     - nonzeros before factor : 7910              after factor           : 8260            \n",
      "Factor     - dense dim.             : 0                 flops                  : 6.32e+05        \n",
      "ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  \n",
      "0   2.7e+02  1.0e+00  1.4e+03  0.00e+00   1.000000000e+00   -1.445248983e+03  1.0e+00  0.00  \n",
      "1   1.1e+02  4.1e-01  9.2e+02  -9.84e-01  2.351902786e+00   -1.418216869e+03  4.1e-01  0.00  \n",
      "2   2.9e+01  1.1e-01  4.1e+02  -9.28e-01  7.213654177e+00   -1.212370451e+03  1.1e-01  0.00  \n",
      "3   5.7e+00  2.1e-02  9.9e+01  -5.22e-01  1.123871298e+01   -5.733385942e+02  2.1e-02  0.00  \n",
      "4   8.0e-01  2.9e-03  6.9e+00  3.27e-01   2.515684735e+00   -1.078032410e+02  2.9e-03  0.00  \n",
      "5   9.2e-02  3.3e-04  2.1e-01  1.10e+00   1.756529874e-01   -1.105178854e+01  3.3e-04  0.00  \n",
      "6   3.3e-04  1.2e-06  3.7e-05  1.12e+00   4.257032250e-04   -3.715468167e-02  1.2e-06  0.00  \n",
      "7   6.4e-07  2.3e-09  3.2e-09  1.00e+00   8.311700851e-07   -7.254313882e-05  2.3e-09  0.00  \n",
      "8   4.0e-11  2.5e-15  3.5e-15  1.00e+00   4.101504530e-13   -7.997520301e-11  2.5e-15  0.00  \n",
      "Optimizer terminated. Time: 0.00    \n",
      "\n",
      "[137.0460279963124, -11.947959974235816, 0.12056247720741319, -42.161579148854216, 4.110843786801956, 0.09624743887528613, 7.507683444899223]\n",
      "N: 15\n"
     ]
    }
   ],
   "source": [
    "total_N = 95 # total number of knot points\n",
    "N = 95  # total number of knot points\n",
    "\n",
    "iters_left = 15 #amount of knot points left at the end of the trajectory to end MPC\n",
    "\n",
    "optimal_x = zeros(nx, N)\n",
    "optimal_u = zeros(nu, N-1)\n",
    "\n",
    "#Initial state\n",
    "x_initial = [2400, 450, -330, -10, -40, 10, log(m0)] \n",
    "\n",
    "for i = 1:N-iters_left+1\n",
    "    \n",
    "    cons, X, U = update_prob(x_initial, N)\n",
    "    \n",
    "    Xm, Um = solve_opt(cons, X, U)\n",
    "    \n",
    "    optimal_x[:,i] = Xm[:,1]\n",
    "    \n",
    "    optimal_u[:,i] = Um[:,1]\n",
    "    \n",
    "    noise_pose = randn(3)*0\n",
    "    noise_velocity = randn(3)*0\n",
    "    state_noise = vec([noise_pose' noise_velocity' 0])' #add random gaussian noise to velocities\n",
    "    \n",
    "    x_initial .= Ad*Xm[:,1]+Bd*Um[:,1]+Dd*d + state_noise'\n",
    "    \n",
    "    println(x_initial)\n",
    "    \n",
    "    println(\"N: \", N)\n",
    "    \n",
    "    N = N-1\n",
    "    \n",
    "    #Fill in the remaining of the trajectory\n",
    "    if i == total_N-iters_left+1\n",
    "        \n",
    "        for k in 1:N\n",
    "\n",
    "            optimal_x[:,total_N - N + k] = Xm[:,k]\n",
    "    \n",
    "            if k != N \n",
    "                optimal_u[:,total_N - N + k] = Um[:,k]\n",
    "            end\n",
    "    \n",
    "        end\n",
    "        \n",
    "    end\n",
    "    \n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "c16e576a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.7922534120017005, -0.022260689615344616, 0.004194748519478523, -3.16901463017953, 0.08900786442888442, -0.01677861865168917, 7.4762778494865385]\n",
      "[10.128603454564294, -0.46628193254898076, 0.04289290646152048, 10.506310971373619]\n"
     ]
    }
   ],
   "source": [
    "#Fill in the last 10 seconds with the last final trajectory\n",
    "println(optimal_x[:,end])\n",
    "\n",
    "println(optimal_u[:,end])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "9f2bb85d",
   "metadata": {},
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       "</svg>\n"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using Plots\n",
    "\n",
    "Plots.plot(optimal_x[2,:],optimal_x[3,:], optimal_x[1,:], title=\"Minimum Landing Error\",xaxis=\"x (m)\", yaxis=\"y (m)\",zaxis=\"z (m)\", legend=false, \n",
    "xtickfontsize=15,ytickfontsize=15,ztickfontsize=15, legendfont=font(15), guidefont=font(18), titlefont = font(18), linewidth=5)\n",
    "Plots.scatter!([optimal_x[2,1]],[optimal_x[3,1]],[optimal_x[1,1]], markersize=7)\n",
    "Plots.scatter!([x_goal[2]],[x_goal[3]],[x_goal[1]], label = [\"xgoal\"], markersize=7)\n",
    "Plots.scatter!([last(optimal_x[2,:])],[last(optimal_x[3,:])],[last(optimal_x[1,:])], label = [\"y\"], markersize=7)\n",
    "plot!(size=(600,500))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "28aeda76",
   "metadata": {},
   "outputs": [
    {
     "data": {
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      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "statestime = (1:95)*dt\n",
    "Plots.plot(statestime, optimal_x[1:3,:]',title=\"Position State\",xaxis=\"Time (s)\", yaxis=\"Distance (m)\", legend=true, label = [\"z\" \"x\" \"y\"], \n",
    "    xtickfontsize=15,ytickfontsize=15, legendfont=font(15), guidefont=font(18), titlefont = font(18), linewidth=5)\n",
    "plot!(size=(600,500))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "1423406d",
   "metadata": {},
   "outputs": [
    {
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       " 1314.2268358237457\n",
       "  -87.13323314532245\n",
       "  -60.4220322030861"
      ]
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     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "optimal_x[1:3, 50]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "cc71f2be",
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       "  \"/>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Plots.plot(optimal_u[1:3,:]',title=\"Minimum Control\",xaxis=\"x (m)\", yaxis=\"y (m)\",zaxis=\"z (m)\", legend=false, \n",
    " xtickfontsize=15,ytickfontsize=15, legendfont=font(15), guidefont=font(18), titlefont = font(18), linewidth=5)\n",
    "plot!(size=(600,500))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "575973d6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "94-element Vector{Float64}:\n",
       "  1.7184962689033534\n",
       "  1.716358112329289\n",
       "  1.7124454328680465\n",
       "  1.7075787254182553\n",
       "  1.6590341483440285\n",
       "  1.6656783142346527\n",
       "  1.65033115595662\n",
       "  1.6373517581277997\n",
       "  1.6268531077864796\n",
       "  1.6178396769346817\n",
       "  1.6131685909607165\n",
       "  1.6437054178426518\n",
       "  1.6545182231159075\n",
       "  ⋮\n",
       " 10.1378357591181\n",
       " 10.160545239863485\n",
       " 10.184264745756497\n",
       " 10.20933171579371\n",
       " 10.240855523322628\n",
       " 10.28011077085549\n",
       " 10.304913665196302\n",
       " 10.332591343077734\n",
       " 10.325050819049252\n",
       " 10.261073683072002\n",
       " 10.196714602741931\n",
       " 10.139421412578633"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xn = [norm(x) for x in eachcol(optimal_u[1:3,:])]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "0a15dfb5",
   "metadata": {},
   "outputs": [
    {
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      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Plots.plot(statestime[1:end-1], xn,title=\"Optimal Control\",xaxis=\"Time (s)\", yaxis=\"Thrust/Mass\",zaxis=\"z (m)\", legend=false\n",
    ",xtickfontsize=15,ytickfontsize=15, legendfont=font(15), guidefont=font(18), titlefont = font(18), linewidth=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "cf033875",
   "metadata": {},
   "outputs": [
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       "  1441.63,602.704 1461.09,614.592 1480.55,626.924 1500.01,639.698 1519.47,653.167 1538.93,667.244 1558.39,682.234 1577.85,698.534 1597.31,715.972 1616.77,734.646 \n",
       "  1636.23,754.451 1655.69,775.902 1675.15,798.22 1694.61,821.341 1714.07,845.481 1733.53,870.645 1752.99,896.773 1772.45,923.661 1791.91,951.171 1811.37,979.124 \n",
       "  1830.83,1007.36 1850.29,1035.74 1869.75,1063.47 1889.21,1091.67 1908.67,1120.04 1928.13,1148.71 1947.59,1177.72 1967.05,1206.77 1986.51,1236.09 2005.98,1265.66 \n",
       "  2025.44,1295.02 2044.9,1295.02 2064.36,1324.41 2083.82,1354.03 2103.28,1383.67 2122.74,1413.34 2142.2,1443.02 2161.66,1472.7 2181.12,1502.34 2200.58,1531.93 \n",
       "  2220.04,1561.47 2239.5,1590.95 2258.96,1620.33 2278.42,1649.61 2297.88,1678.83 \n",
       "  \"/>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "masstime = (1:95)*dt\n",
    "Plots.plot(masstime,exp.(optimal_x[7,:]),title=\"Mass\",xaxis=\"Time (s)\", yaxis=\"Mass (kg)\",zaxis=\"z (m)\", legend=false, \n",
    "xtickfontsize=15,ytickfontsize=15, legendfont=font(15), guidefont=font(18), titlefont = font(18), linewidth=5)\n",
    "plot!(size=(600,500))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "4581b594",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "234.34350952940372"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mass_used = exp.(optimal_x[7,1]) - exp.(optimal_x[7,end])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "6d42bf9a",
   "metadata": {},
   "outputs": [],
   "source": [
    "#write to a file\n",
    "using DelimitedFiles\n",
    "open(\"positions.txt\", \"w\") do file\n",
    "        writedlm(file, optimal_x')\n",
    "    end\n",
    "\n",
    "open(\"controls.txt\", \"w\") do file2\n",
    "        writedlm(file2, optimal_u')\n",
    "    end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "62dbec76",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Vector{Float64}:\n",
       "  0.00015022895946343253\n",
       " -0.0014593972969660933\n",
       " -0.0018781300149052012"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "noise_pose = randn(3)*0.001 \n",
    "noise_velocity = randn(3)*0.001 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "d69fd10f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1×7 adjoint(::Vector{Float64}) with eltype Float64:\n",
       " 0.00110378  0.000803647  -7.43269e-5  …  -0.0014594  -0.00187813  0.0"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "state_noise = vec([noise_pose' noise_velocity' 0])'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "id": "1efb673f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3×94 Matrix{Float64}:\n",
       " 0.798569  0.802583  0.806431  …  10.2419     10.1813     10.1286\n",
       " 1.495     1.49324   1.48963      -0.626553   -0.559776   -0.466282\n",
       " 0.283694  0.268314  0.251306      0.0153135   0.0291978   0.0428929"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Thrust = optimal_u[1:3,:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "04db9b8e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "95-element Vector{Float64}:\n",
       " 1999.9999999999998\n",
       " 1998.951560537068\n",
       " 1997.9000942180785\n",
       " 1996.8451332116106\n",
       " 1995.7861620897334\n",
       " 1994.7188605640567\n",
       " 1993.6464738729694\n",
       " 1992.566783180662\n",
       " 1991.4808992185447\n",
       " 1990.3882036689267\n",
       " 1989.2908048716492\n",
       " 1988.1901311077502\n",
       " 1987.084071223288\n",
       "    ⋮\n",
       " 1817.280413072524\n",
       " 1812.5695624675238\n",
       " 1807.8540566719835\n",
       " 1803.1357411262543\n",
       " 1798.418863045762\n",
       " 1793.7078644783064\n",
       " 1789.0046121252042\n",
       " 1784.3090660007163\n",
       " 1779.6246246016035\n",
       " 1774.9546032995668\n",
       " 1770.300220399027\n",
       " 1765.656490470596"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mass = exp.(optimal_x[7,:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "d56c4803",
   "metadata": {},
   "outputs": [],
   "source": [
    "#re scale the thrust \n",
    "N=95\n",
    "N_thrust = zeros(3, N-1)\n",
    "\n",
    "for i=1:N-1\n",
    "    N_thrust[:,i] = Thrust[1:3,i]*mass[i]\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "id": "38d6b58b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "94-element Vector{Float64}:\n",
       "  3.4369925378067063\n",
       "  3.4309167270810885\n",
       "  3.4212948916703882\n",
       "  3.4097702674271275\n",
       "  3.3110773956993387\n",
       "  3.3225599490364046\n",
       "  3.290176889795617\n",
       "  3.2625327256279117\n",
       "  3.2398468899911026\n",
       "  3.220129008398338\n",
       "  3.2090614447059083\n",
       "  3.2679988902031014\n",
       "  3.2876668067022776\n",
       "  ⋮\n",
       " 18.471014235910168\n",
       " 18.46455985054118\n",
       " 18.459688294269284\n",
       " 18.4569817583076\n",
       " 18.465652613813244\n",
       " 18.487945124506425\n",
       " 18.484004684032577\n",
       " 18.485053567971022\n",
       " 18.423081783347705\n",
       " 18.260859401246407\n",
       " 18.098705522668705\n",
       " 17.94981996140657"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "norm_scaled = xn = [norm(x) for x in eachcol(N_thrust[1:3,:])]/1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "id": "92c4bc3a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5:0.5:47.0"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "time = (1:94)*dt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "id": "54447944",
   "metadata": {},
   "outputs": [
    {
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       "  1037.64,1661.55 1057.63,1662.26 1077.62,1662.78 1097.61,1667.43 1117.6,1659.35 1137.59,1653.15 1157.58,1616.87 1177.57,1612.36 1197.56,1613.4 1217.55,1620.49 \n",
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       "  1437.44,1562.69 1457.42,1552.95 1477.41,1537.46 1497.4,1515.49 1517.39,1483.52 1537.38,1446.6 1557.37,1412.9 1577.36,1374.45 1597.35,1348.7 1617.34,1313.65 \n",
       "  1637.33,1290.69 1657.32,1293.13 1677.31,1283.55 1697.3,1221.76 1717.29,1064.66 1737.28,842.013 1757.27,673.583 1777.26,556.994 1797.25,485.06 1817.24,442.295 \n",
       "  1837.23,427.011 1857.22,491.278 1877.2,437.093 1897.19,403.394 1917.18,368.899 1937.17,336.329 1957.16,318.602 1977.15,288.215 1997.14,258.597 2017.13,296.242 \n",
       "  2037.12,283.59 2057.11,283.59 2077.1,271.638 2097.09,272.234 2117.08,272.683 2137.07,272.932 2157.06,272.133 2177.05,270.077 2197.04,270.441 2217.03,270.344 \n",
       "  2237.02,276.058 2257.01,291.015 2277,305.966 2296.99,319.694 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip922)\" style=\"stroke:#e26f46; stroke-linecap:butt; stroke-linejoin:round; stroke-width:20; stroke-opacity:1; fill:none\" points=\"\n",
       "  -1588.38,1642.78 4323.32,1642.78 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip922)\" style=\"stroke:#3da44d; stroke-linecap:butt; stroke-linejoin:round; stroke-width:20; stroke-opacity:1; fill:none\" points=\"\n",
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       "  \"/>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Plots.plot(time,norm_scaled,title=\"Optimal Control\",xaxis=\" Time (s)\", yaxis=\"Thrust (kN)\", legend=false, \n",
    "xtickfontsize=15,ytickfontsize=15, legendfont=font(15), guidefont=font(18), titlefont = font(18), linewidth=5)\n",
    "#Plots.plot!(Vector[[4800,19200]], linetype=[:hline, :hline], widths=[10, 10])\n",
    "Plots.plot!([3600/1000], linetype=:hline, width=5)\n",
    "Plots.plot!([19200/1000], linetype=:hline, width=5)\n",
    "plot!(size=(600,500))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3abd297d",
   "metadata": {},
   "outputs": [],
   "source": [
    "optimal_x[4:6,end]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3d9933da",
   "metadata": {},
   "outputs": [],
   "source": [
    "norm_scaled[25]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "11975e41",
   "metadata": {},
   "outputs": [],
   "source": [
    "optimal_u[4,1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "0b224282",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.703782474656201"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log(300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f7ce486d",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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