RTGeneral.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy as sp\n",
    "import time\n",
    "import math\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import sklearn\n",
    "from sklearn.linear_model import LinearRegression\n",
    "\n",
    "\n",
    "np.set_printoptions(precision=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def getkjp(r,q,l):\n",
    "    m = (r-1)//2\n",
    "    ip = q*l+1\n",
    "    k = ip//r\n",
    "    j = ip%r\n",
    "    if j < m+1:\n",
    "        return j\n",
    "    else:\n",
    "        return r-j\n",
    "def getkjm(r,q,l):\n",
    "    m = (r-1)//2\n",
    "    ip = q*l-1\n",
    "    k = ip//r\n",
    "    j = ip%r\n",
    "    if j < m+1:\n",
    "        return j\n",
    "    else:\n",
    "        return r-j\n",
    "\n",
    "def RT1s(r,q):\n",
    "    t0 = time.time()\n",
    "    m = (r-1)//2\n",
    "    #print(m)\n",
    "    mat = np.zeros(shape=(m,m))\n",
    "    for l in range(0,m):\n",
    "        col = np.zeros(shape=(m,))\n",
    "        jp = getkjp(r,q,l)\n",
    "        jm = getkjm(r,q,l)\n",
    "        if jp == jm == 1:\n",
    "            col[0] = 1\n",
    "        if jm == 0 and jp == 2:    \n",
    "            col[jp-1] = 1\n",
    "        if jp == 0 and jm == 2:    \n",
    "            col[jm-1] = -1\n",
    "        if jp + jm > 2:\n",
    "            col[jp-1] = 1\n",
    "            col[jm-1] =- 1\n",
    "        mat[:,l] = col\n",
    "    return mat\n",
    "\n",
    "def qp6Bound(q):\n",
    "    nums = []\n",
    "    if (q%2) == 0:\n",
    "        for r in range(3,q+3+1,2):\n",
    "            if math.gcd(r,q) == 1:\n",
    "                nums.append(r)\n",
    "    else:\n",
    "        for r in range(3,q+6+1,2):\n",
    "            if math.gcd(r,q) == 1:\n",
    "                nums.append(r)\n",
    "    return nums\n",
    "\n",
    "def qm3Bound(q):\n",
    "    nums = []\n",
    "    if q%2 == 0:\n",
    "        for r in range(3,q,2):\n",
    "            if math.gcd(r,q) == 1:\n",
    "                nums.append(r)\n",
    "    return nums"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 1.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1. -1.]\n",
      " [ 0.  0.  0. -1.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  1.]\n",
      " [ 0.  1.  0.  1.  0.  0.]]\n",
      "---------------------------------------\n"
     ]
    }
   ],
   "source": [
    "for r in range(13,15,2):\n",
    "    if math.gcd(r,6) == 1:\n",
    "        print(RT1s(r,6))\n",
    "        print(\"---------------------------------------\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73]\n"
     ]
    }
   ],
   "source": [
    "vals = [r  for r in range(3,75,2) if math.gcd(r,q) == 1]\n",
    "print(vals)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "q = 2\n",
      "____\n",
      "r = 5\n",
      "[[ 1. -1.]\n",
      " [ 0.  1.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 4\n",
      "____\n",
      "r = 5\n",
      "[[ 1.  0.]\n",
      " [ 0. -1.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 6\n",
      "____\n",
      "r = 7\n",
      "[[ 1.  0.  1.]\n",
      " [ 0. -1.  0.]\n",
      " [ 0.  0. -1.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 8\n",
      "____\n",
      "r = 5\n",
      "[[ 1.  1.]\n",
      " [ 0. -1.]]\n",
      "--------------------------\n",
      "r = 7\n",
      "[[ 1.  0. -1.]\n",
      " [ 0.  1.  0.]\n",
      " [ 0.  0.  1.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 10\n",
      "____\n",
      "-------------------------------------------------------------------------------\n",
      "q = 12\n",
      "____\n",
      "r = 7\n",
      "[[ 1.  1.  0.]\n",
      " [ 0.  0. -1.]\n",
      " [ 0. -1.  1.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 14\n",
      "____\n",
      "r = 5\n",
      "[[ 1.  0.]\n",
      " [ 0. -1.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 16\n",
      "____\n",
      "r = 5\n",
      "[[1. 0.]\n",
      " [0. 1.]]\n",
      "--------------------------\n",
      "r = 7\n",
      "[[ 1. -1.  0.]\n",
      " [ 0.  0.  1.]\n",
      " [ 0.  1. -1.]]\n",
      "--------------------------\n",
      "r = 9\n",
      "[[ 1.  1.  0.  0.]\n",
      " [ 0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.]\n",
      " [ 0.  0. -1.  1.]]\n",
      "--------------------------\n",
      "r = 11\n",
      "[[ 1.  0.  0.  0.  1.]\n",
      " [ 0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0. -1. -1.]\n",
      " [ 0. -1.  0.  0.  0.]\n",
      " [ 0.  1.  0.  1.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 18\n",
      "____\n",
      "-------------------------------------------------------------------------------\n",
      "q = 20\n",
      "____\n",
      "r = 7\n",
      "[[ 1.  0.  1.]\n",
      " [ 0. -1.  0.]\n",
      " [ 0.  0. -1.]]\n",
      "--------------------------\n",
      "r = 9\n",
      "[[ 1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.]\n",
      " [ 0.  0.  1. -1.]]\n",
      "--------------------------\n",
      "r = 11\n",
      "[[ 1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.]]\n",
      "--------------------------\n",
      "r = 13\n",
      "[[ 1.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  1.]\n",
      " [ 0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0. -1.]\n",
      " [ 0. -1.  0. -1.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 22\n",
      "____\n",
      "r = 5\n",
      "[[ 1. -1.]\n",
      " [ 0.  1.]]\n",
      "--------------------------\n",
      "r = 7\n",
      "[[ 1.  0. -1.]\n",
      " [ 0.  1.  0.]\n",
      " [ 0.  0.  1.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 24\n",
      "____\n",
      "r = 11\n",
      "[[ 1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.]]\n",
      "--------------------------\n",
      "r = 13\n",
      "[[ 1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 26\n",
      "____\n",
      "r = 5\n",
      "[[1. 0.]\n",
      " [0. 1.]]\n",
      "--------------------------\n",
      "r = 7\n",
      "[[ 1.  1.  0.]\n",
      " [ 0.  0. -1.]\n",
      " [ 0. -1.  1.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 28\n",
      "____\n",
      "r = 5\n",
      "[[ 1.  1.]\n",
      " [ 0. -1.]]\n",
      "--------------------------\n",
      "r = 11\n",
      "[[ 1.  0.  0.  0. -1.]\n",
      " [ 0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  1.  1.]\n",
      " [ 0.  1.  0.  0.  0.]\n",
      " [ 0. -1.  0. -1.  0.]]\n",
      "--------------------------\n",
      "r = 13\n",
      "[[ 1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.]]\n",
      "--------------------------\n",
      "r = 15\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.]]\n",
      "--------------------------\n",
      "r = 17\n",
      "[[ 1.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1. -1.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  1.  0.  1.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0. -1.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 30\n",
      "____\n",
      "-------------------------------------------------------------------------------\n",
      "q = 32\n",
      "____\n",
      "r = 5\n",
      "[[ 1. -1.]\n",
      " [ 0.  1.]]\n",
      "--------------------------\n",
      "r = 13\n",
      "[[ 1.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1. -1.]\n",
      " [ 0.  0.  0. -1.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  1.]\n",
      " [ 0.  1.  0.  1.  0.  0.]]\n",
      "--------------------------\n",
      "r = 15\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.]]\n",
      "--------------------------\n",
      "r = 17\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.]]\n",
      "--------------------------\n",
      "r = 19\n",
      "[[ 1.  0.  0.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  1.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0. -1.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  1.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 34\n",
      "____\n",
      "r = 5\n",
      "[[ 1.  0.]\n",
      " [ 0. -1.]]\n",
      "--------------------------\n",
      "r = 7\n",
      "[[ 1.  0.  1.]\n",
      " [ 0. -1.  0.]\n",
      " [ 0.  0. -1.]]\n",
      "--------------------------\n",
      "r = 9\n",
      "[[ 1.  1.  0.  0.]\n",
      " [ 0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.]\n",
      " [ 0.  0. -1.  1.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 36\n",
      "____\n",
      "r = 7\n",
      "[[ 1.  0. -1.]\n",
      " [ 0.  1.  0.]\n",
      " [ 0.  0.  1.]]\n",
      "--------------------------\n",
      "r = 17\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.]]\n",
      "--------------------------\n",
      "r = 19\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 38\n",
      "____\n",
      "r = 5\n",
      "[[ 1.  1.]\n",
      " [ 0. -1.]]\n",
      "--------------------------\n",
      "r = 9\n",
      "[[ 1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.]\n",
      " [ 0.  0.  1. -1.]]\n",
      "--------------------------\n",
      "r = 11\n",
      "[[ 1.  0.  0.  0.  1.]\n",
      " [ 0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0. -1. -1.]\n",
      " [ 0. -1.  0.  0.  0.]\n",
      " [ 0.  1.  0.  1.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 40\n",
      "____\n",
      "r = 7\n",
      "[[ 1.  1.  0.]\n",
      " [ 0.  0. -1.]\n",
      " [ 0. -1.  1.]]\n",
      "--------------------------\n",
      "r = 17\n",
      "[[ 1.  0.  0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  1.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0. -1.  0. -1.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  1.]]\n",
      "--------------------------\n",
      "r = 19\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 21\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 23\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1. -1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  0.  0. -1.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  1.  0.  0.  0.  1.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 42\n",
      "____\n",
      "r = 11\n",
      "[[ 1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 44\n",
      "____\n",
      "r = 5\n",
      "[[ 1.  0.]\n",
      " [ 0. -1.]]\n",
      "--------------------------\n",
      "r = 7\n",
      "[[ 1. -1.  0.]\n",
      " [ 0.  0.  1.]\n",
      " [ 0.  1. -1.]]\n",
      "--------------------------\n",
      "r = 19\n",
      "[[ 1.  0.  0.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1. -1.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  1.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0. -1.]]\n",
      "--------------------------\n",
      "r = 21\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 23\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 25\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0. -1.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 46\n",
      "____\n",
      "r = 5\n",
      "[[1. 0.]\n",
      " [0. 1.]]\n",
      "--------------------------\n",
      "r = 11\n",
      "[[ 1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.]]\n",
      "--------------------------\n",
      "r = 13\n",
      "[[ 1.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  1.]\n",
      " [ 0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0. -1.]\n",
      " [ 0. -1.  0. -1.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 48\n",
      "____\n",
      "r = 7\n",
      "[[ 1.  0.  1.]\n",
      " [ 0. -1.  0.]\n",
      " [ 0.  0. -1.]]\n",
      "--------------------------\n",
      "r = 23\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 25\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 50\n",
      "____\n",
      "r = 7\n",
      "[[ 1.  0. -1.]\n",
      " [ 0.  1.  0.]\n",
      " [ 0.  0.  1.]]\n",
      "--------------------------\n",
      "r = 11\n",
      "[[ 1.  0.  0.  0. -1.]\n",
      " [ 0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  1.  1.]\n",
      " [ 0.  1.  0.  0.  0.]\n",
      " [ 0. -1.  0. -1.  0.]]\n",
      "--------------------------\n",
      "r = 13\n",
      "[[ 1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 52\n",
      "____\n",
      "r = 5\n",
      "[[ 1. -1.]\n",
      " [ 0.  1.]]\n",
      "--------------------------\n",
      "r = 9\n",
      "[[ 1.  1.  0.  0.]\n",
      " [ 0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.]\n",
      " [ 0.  0. -1.  1.]]\n",
      "--------------------------\n",
      "r = 23\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  0.  0.  1.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0. -1.  0.  0.  0. -1.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 25\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 27\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 29\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0. -1.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 54\n",
      "____\n",
      "r = 7\n",
      "[[ 1.  1.  0.]\n",
      " [ 0.  0. -1.]\n",
      " [ 0. -1.  1.]]\n",
      "--------------------------\n",
      "r = 13\n",
      "[[ 1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 56\n",
      "____\n",
      "r = 5\n",
      "[[1. 0.]\n",
      " [0. 1.]]\n",
      "--------------------------\n",
      "r = 9\n",
      "[[ 1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.]\n",
      " [ 0.  0.  1. -1.]]\n",
      "--------------------------\n",
      "r = 25\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.  1.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 27\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 29\n",
      "[[ 1.  1.  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. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 31\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  1.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 58\n",
      "____\n",
      "r = 5\n",
      "[[ 1.  1.]\n",
      " [ 0. -1.]]\n",
      "--------------------------\n",
      "r = 7\n",
      "[[ 1. -1.  0.]\n",
      " [ 0.  0.  1.]\n",
      " [ 0.  1. -1.]]\n",
      "--------------------------\n",
      "r = 13\n",
      "[[ 1.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1. -1.]\n",
      " [ 0.  0.  0. -1.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  1.]\n",
      " [ 0.  1.  0.  1.  0.  0.]]\n",
      "--------------------------\n",
      "r = 15\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 60\n",
      "____\n",
      "r = 11\n",
      "[[ 1.  0.  0.  0.  1.]\n",
      " [ 0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0. -1. -1.]\n",
      " [ 0. -1.  0.  0.  0.]\n",
      " [ 0.  1.  0.  1.  0.]]\n",
      "--------------------------\n",
      "r = 29\n",
      "[[ 1. -1.  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.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 31\n",
      "[[ 1.  1.  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. -1.]\n",
      " [ 0. -1.  1.  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. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 62\n",
      "____\n",
      "r = 5\n",
      "[[ 1. -1.]\n",
      " [ 0.  1.]]\n",
      "--------------------------\n",
      "r = 7\n",
      "[[ 1.  0.  1.]\n",
      " [ 0. -1.  0.]\n",
      " [ 0.  0. -1.]]\n",
      "--------------------------\n",
      "r = 15\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.]]\n",
      "--------------------------\n",
      "r = 17\n",
      "[[ 1.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1. -1.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  1.  0.  1.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0. -1.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 64\n",
      "____\n",
      "r = 5\n",
      "[[ 1.  0.]\n",
      " [ 0. -1.]]\n",
      "--------------------------\n",
      "r = 7\n",
      "[[ 1.  0. -1.]\n",
      " [ 0.  1.  0.]\n",
      " [ 0.  0.  1.]]\n",
      "--------------------------\n",
      "r = 11\n",
      "[[ 1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.]]\n",
      "--------------------------\n",
      "r = 29\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  1.  0.]]\n",
      "--------------------------\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r = 31\n",
      "[[ 1. -1.  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.  1.]\n",
      " [ 0.  1. -1.  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.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 33\n",
      "[[ 1.  1.  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. -1.]\n",
      " [ 0. -1.  1.  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. -1.  1.]\n",
      " [ 0.  0. -1.  1.  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. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 35\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 66\n",
      "____\n",
      "r = 17\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 68\n",
      "____\n",
      "r = 5\n",
      "[[ 1.  1.]\n",
      " [ 0. -1.]]\n",
      "--------------------------\n",
      "r = 7\n",
      "[[ 1.  1.  0.]\n",
      " [ 0.  0. -1.]\n",
      " [ 0. -1.  1.]]\n",
      "--------------------------\n",
      "r = 11\n",
      "[[ 1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.]]\n",
      "--------------------------\n",
      "r = 31\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0. -1.  0.]]\n",
      "--------------------------\n",
      "r = 33\n",
      "[[ 1. -1.  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.  1.]\n",
      " [ 0.  1. -1.  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.  1. -1.]\n",
      " [ 0.  0.  1. -1.  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.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 35\n",
      "[[ 1.  1.  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. -1.]\n",
      " [ 0. -1.  1.  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. -1.  1.]\n",
      " [ 0.  0. -1.  1.  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. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  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. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 37\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.]\n",
      " [ 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.  0.  0.  1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 70\n",
      "____\n",
      "r = 9\n",
      "[[ 1.  1.  0.  0.]\n",
      " [ 0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.]\n",
      " [ 0.  0. -1.  1.]]\n",
      "--------------------------\n",
      "r = 17\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.]]\n",
      "--------------------------\n",
      "r = 19\n",
      "[[ 1.  0.  0.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  1.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0. -1.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  1.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 72\n",
      "____\n",
      "r = 7\n",
      "[[ 1. -1.  0.]\n",
      " [ 0.  0.  1.]\n",
      " [ 0.  1. -1.]]\n",
      "--------------------------\n",
      "r = 11\n",
      "[[ 1.  0.  0.  0. -1.]\n",
      " [ 0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  1.  1.]\n",
      " [ 0.  1.  0.  0.  0.]\n",
      " [ 0. -1.  0. -1.  0.]]\n",
      "--------------------------\n",
      "r = 13\n",
      "[[ 1.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  1.]\n",
      " [ 0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0. -1.]\n",
      " [ 0. -1.  0. -1.  0.  0.]]\n",
      "--------------------------\n",
      "r = 35\n",
      "[[ 1. -1.  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.  1.]\n",
      " [ 0.  1. -1.  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.  1. -1.]\n",
      " [ 0.  0.  1. -1.  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.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  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.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 37\n",
      "[[ 1.  1.  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. -1.]\n",
      " [ 0. -1.  1.  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. -1.  1.]\n",
      " [ 0.  0. -1.  1.  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. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  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. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  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. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 74\n",
      "____\n",
      "r = 5\n",
      "[[ 1.  0.]\n",
      " [ 0. -1.]]\n",
      "--------------------------\n",
      "r = 9\n",
      "[[ 1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.]\n",
      " [ 0.  0.  1. -1.]]\n",
      "--------------------------\n",
      "r = 17\n",
      "[[ 1.  0.  0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  1.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0. -1.  0. -1.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  1.]]\n",
      "--------------------------\n",
      "r = 19\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 76\n",
      "____\n",
      "r = 5\n",
      "[[1. 0.]\n",
      " [0. 1.]]\n",
      "--------------------------\n",
      "r = 7\n",
      "[[ 1.  0.  1.]\n",
      " [ 0. -1.  0.]\n",
      " [ 0.  0. -1.]]\n",
      "--------------------------\n",
      "r = 13\n",
      "[[ 1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.]]\n",
      "--------------------------\n",
      "r = 35\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 37\n",
      "[[ 1. -1.  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.  1.]\n",
      " [ 0.  1. -1.  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.  1. -1.]\n",
      " [ 0.  0.  1. -1.  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.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  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.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  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.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 39\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "  -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.\n",
      "   1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.\n",
      "   0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.]]\n",
      "--------------------------\n",
      "r = 41\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1. -1.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0. -1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0. -1.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  1.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "  -1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0. -1.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   1.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0. -1.\n",
      "   0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 78\n",
      "____\n",
      "r = 7\n",
      "[[ 1.  0. -1.]\n",
      " [ 0.  1.  0.]\n",
      " [ 0.  0.  1.]]\n",
      "--------------------------\n",
      "r = 19\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 80\n",
      "____\n",
      "r = 13\n",
      "[[ 1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.]]\n",
      "--------------------------\n",
      "r = 37\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.]\n",
      " [ 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.  0.  0. -1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 39\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.\n",
      "  -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.\n",
      "   0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.\n",
      "   0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.]]\n",
      "--------------------------\n",
      "r = 41\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "  -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.\n",
      "   1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]]\n",
      "--------------------------\n",
      "r = 43\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  1.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  1.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  1.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0. -1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  1.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  1.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "  -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.\n",
      "   1.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 82\n",
      "____\n",
      "r = 5\n",
      "[[ 1. -1.]\n",
      " [ 0.  1.]]\n",
      "--------------------------\n",
      "r = 7\n",
      "[[ 1.  1.  0.]\n",
      " [ 0.  0. -1.]\n",
      " [ 0. -1.  1.]]\n",
      "--------------------------\n",
      "r = 11\n",
      "[[ 1.  0.  0.  0.  1.]\n",
      " [ 0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0. -1. -1.]\n",
      " [ 0. -1.  0.  0.  0.]\n",
      " [ 0.  1.  0.  1.  0.]]\n",
      "--------------------------\n",
      "r = 19\n",
      "[[ 1.  0.  0.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1. -1.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  1.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0. -1.]]\n",
      "--------------------------\n",
      "r = 21\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 84\n",
      "____\n",
      "r = 13\n",
      "[[ 1.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1. -1.]\n",
      " [ 0.  0.  0. -1.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  1.]\n",
      " [ 0.  1.  0.  1.  0.  0.]]\n",
      "--------------------------\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r = 41\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.\n",
      "  -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]]\n",
      "--------------------------\n",
      "r = 43\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "  -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.\n",
      "   1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 86\n",
      "____\n",
      "r = 5\n",
      "[[1. 0.]\n",
      " [0. 1.]]\n",
      "--------------------------\n",
      "r = 7\n",
      "[[ 1. -1.  0.]\n",
      " [ 0.  0.  1.]\n",
      " [ 0.  1. -1.]]\n",
      "--------------------------\n",
      "r = 11\n",
      "[[ 1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.]]\n",
      "--------------------------\n",
      "r = 21\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 23\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1. -1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  0.  0. -1.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  1.  0.  0.  0.  1.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 88\n",
      "____\n",
      "r = 5\n",
      "[[ 1.  1.]\n",
      " [ 0. -1.]]\n",
      "--------------------------\n",
      "r = 9\n",
      "[[ 1.  1.  0.  0.]\n",
      " [ 0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.]\n",
      " [ 0.  0. -1.  1.]]\n",
      "--------------------------\n",
      "r = 15\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.]]\n",
      "--------------------------\n",
      "r = 41\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  1.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  1.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0. -1.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  1.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "  -1.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.\n",
      "   0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  1.\n",
      "   0.  0.]]\n",
      "--------------------------\n",
      "r = 43\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.\n",
      "  -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 45\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "  -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.\n",
      "   1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 47\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1. -1.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0. -1.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.\n",
      "  -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.\n",
      "   0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 90\n",
      "____\n",
      "r = 11\n",
      "[[ 1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.]]\n",
      "--------------------------\n",
      "r = 23\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 92\n",
      "____\n",
      "r = 5\n",
      "[[ 1. -1.]\n",
      " [ 0.  1.]]\n",
      "--------------------------\n",
      "r = 7\n",
      "[[ 1.  0. -1.]\n",
      " [ 0.  1.  0.]\n",
      " [ 0.  0.  1.]]\n",
      "--------------------------\n",
      "r = 9\n",
      "[[ 1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.]\n",
      " [ 0.  0.  1. -1.]]\n",
      "--------------------------\n",
      "r = 15\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.]]\n",
      "--------------------------\n",
      "r = 43\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1. -1.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0. -1.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0. -1.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0. -1.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0. -1.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.\n",
      "  -1.  0.  0.]]\n",
      "--------------------------\n",
      "r = 45\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.\n",
      "  -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 47\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "  -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.\n",
      "   1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 49\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  1.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.\n",
      "   1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "  -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.\n",
      "   0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.\n",
      "   0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 94\n",
      "____\n",
      "r = 5\n",
      "[[ 1.  0.]\n",
      " [ 0. -1.]]\n",
      "--------------------------\n",
      "r = 11\n",
      "[[ 1.  0.  0.  0. -1.]\n",
      " [ 0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  1.  1.]\n",
      " [ 0.  1.  0.  0.  0.]\n",
      " [ 0. -1.  0. -1.  0.]]\n",
      "--------------------------\n",
      "r = 23\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 25\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0. -1.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 96\n",
      "____\n",
      "r = 7\n",
      "[[ 1.  1.  0.]\n",
      " [ 0.  0. -1.]\n",
      " [ 0. -1.  1.]]\n",
      "--------------------------\n",
      "r = 17\n",
      "[[ 1.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1. -1.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  1.  0.  1.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0. -1.]]\n",
      "--------------------------\n",
      "r = 47\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.\n",
      "  -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 49\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "  -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.\n",
      "   1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 98\n",
      "____\n",
      "r = 5\n",
      "[[ 1.  1.]\n",
      " [ 0. -1.]]\n",
      "--------------------------\n",
      "r = 13\n",
      "[[ 1.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  1.]\n",
      " [ 0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0. -1.]\n",
      " [ 0. -1.  0. -1.  0.  0.]]\n",
      "--------------------------\n",
      "r = 23\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  0.  0.  1.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0. -1.  0.  0.  0. -1.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 25\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 100\n",
      "____\n",
      "r = 7\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 1. -1.  0.]\n",
      " [ 0.  0.  1.]\n",
      " [ 0.  1. -1.]]\n",
      "--------------------------\n",
      "r = 17\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.]]\n",
      "--------------------------\n",
      "r = 47\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  1.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  1.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0. -1.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "  -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.\n",
      "   1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.\n",
      "   0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 49\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.\n",
      "  -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 51\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "  -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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. -1.\n",
      "   1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.\n",
      "   0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 53\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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. -1.\n",
      "  -1.  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.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  1.  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.\n",
      "   0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.\n",
      "   0. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.\n",
      "   0.  0. -1.  0.  0.  0.  0.  0.]\n",
      " [ 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.  1.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.\n",
      "   0.  0.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0. -1.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 102\n",
      "____\n",
      "r = 13\n",
      "[[ 1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.]]\n",
      "--------------------------\n",
      "r = 25\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 104\n",
      "____\n",
      "r = 5\n",
      "[[ 1.  0.]\n",
      " [ 0. -1.]]\n",
      "--------------------------\n",
      "r = 7\n",
      "[[ 1.  0.  1.]\n",
      " [ 0. -1.  0.]\n",
      " [ 0.  0. -1.]]\n",
      "--------------------------\n",
      "r = 11\n",
      "[[ 1.  0.  0.  0.  1.]\n",
      " [ 0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0. -1. -1.]\n",
      " [ 0. -1.  0.  0.  0.]\n",
      " [ 0.  1.  0.  1.  0.]]\n",
      "--------------------------\n",
      "r = 17\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.]]\n",
      "--------------------------\n",
      "r = 49\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1. -1.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.\n",
      "  -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.\n",
      "   0. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.\n",
      "   0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 51\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.  1.\n",
      "  -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.\n",
      "   0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 53\n",
      "[[ 1.  1.  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.]\n",
      " [ 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. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "  -1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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. -1.\n",
      "   1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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. -1.  1.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 55\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "  -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   1.  1.  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.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  0. -1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.\n",
      "   0.  0.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0. -1.  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.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.  1.  0.\n",
      "   0.  0.  0.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 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. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.\n",
      "   0.  0.  0.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  1.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 106\n",
      "____\n",
      "r = 5\n",
      "[[1. 0.]\n",
      " [0. 1.]]\n",
      "--------------------------\n",
      "r = 7\n",
      "[[ 1.  0. -1.]\n",
      " [ 0.  1.  0.]\n",
      " [ 0.  0.  1.]]\n",
      "--------------------------\n",
      "r = 9\n",
      "[[ 1.  1.  0.  0.]\n",
      " [ 0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.]\n",
      " [ 0.  0. -1.  1.]]\n",
      "--------------------------\n",
      "r = 13\n",
      "[[ 1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.]]\n",
      "--------------------------\n",
      "r = 25\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.  1.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 27\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 108\n",
      "____\n",
      "r = 11\n",
      "[[ 1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.]]\n",
      "--------------------------\n",
      "r = 17\n",
      "[[ 1.  0.  0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  1.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0. -1.  0. -1.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  1.]]\n",
      "--------------------------\n",
      "r = 19\n",
      "[[ 1.  0.  0.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  1.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0. -1.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  1.]]\n",
      "--------------------------\n",
      "r = 53\n",
      "[[ 1. -1.  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.]\n",
      " [ 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.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.  1.\n",
      "  -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.  1. -1.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 55\n",
      "[[ 1.  1.  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.]\n",
      " [ 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. -1.]\n",
      " [ 0. -1.  1.  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.]\n",
      " [ 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. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0. -1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "  -1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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. -1.\n",
      "   1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.\n",
      "   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. -1.  1.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.\n",
      "   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. -1.  1.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 110\n",
      "____\n",
      "r = 7\n",
      "[[ 1.  1.  0.]\n",
      " [ 0.  0. -1.]\n",
      " [ 0. -1.  1.]]\n",
      "--------------------------\n",
      "r = 9\n",
      "[[ 1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.]\n",
      " [ 0.  0.  1. -1.]]\n",
      "--------------------------\n",
      "r = 13\n",
      "[[ 1.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1. -1.]\n",
      " [ 0.  0.  0. -1.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  1.]\n",
      " [ 0.  1.  0.  1.  0.  0.]]\n",
      "--------------------------\n",
      "r = 27\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 29\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0. -1.  0.]]\n",
      "--------------------------\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-------------------------------------------------------------------------------\n",
      "q = 112\n",
      "____\n",
      "r = 5\n",
      "[[ 1. -1.]\n",
      " [ 0.  1.]]\n",
      "--------------------------\n",
      "r = 11\n",
      "[[ 1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.]]\n",
      "--------------------------\n",
      "r = 19\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 53\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "  -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.  1.\n",
      "   1.  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.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  0. -1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0. -1.  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.\n",
      "   0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.\n",
      "   0.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.\n",
      "   0.  0.  1.  0.  0.  0.  0.  0.]\n",
      " [ 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. -1.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.\n",
      "   0.  0.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  1.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 55\n",
      "[[ 1. -1.  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.]\n",
      " [ 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.  1.]\n",
      " [ 0.  1. -1.  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.]\n",
      " [ 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.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   1. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.  1.\n",
      "  -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.\n",
      "   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.  1. -1.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.\n",
      "   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.  1. -1.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 57\n",
      "[[ 1.  1.  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.]\n",
      " [ 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. -1.]\n",
      " [ 0. -1.  1.  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.]\n",
      " [ 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. -1.  1.]\n",
      " [ 0.  0. -1.  1.  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.]\n",
      " [ 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. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0. -1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0. -1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "  -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.\n",
      "   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. -1.\n",
      "   1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.\n",
      "   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. -1.  1.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.\n",
      "   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. -1.  1.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.\n",
      "   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. -1.  1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 59\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  1.  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.\n",
      "   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.\n",
      "   0. -1. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "  -1.  0.  0. -1.  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.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.\n",
      "   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. -1.\n",
      "   0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.\n",
      "   0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.]\n",
      " [ 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.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  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.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 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.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.\n",
      "   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. -1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 114\n",
      "____\n",
      "r = 7\n",
      "[[ 1. -1.  0.]\n",
      " [ 0.  0.  1.]\n",
      " [ 0.  1. -1.]]\n",
      "--------------------------\n",
      "r = 29\n",
      "[[ 1.  1.  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. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 116\n",
      "____\n",
      "r = 5\n",
      "[[1. 0.]\n",
      " [0. 1.]]\n",
      "--------------------------\n",
      "r = 11\n",
      "[[ 1.  0.  0.  0. -1.]\n",
      " [ 0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  1.  1.]\n",
      " [ 0.  1.  0.  0.  0.]\n",
      " [ 0. -1.  0. -1.  0.]]\n",
      "--------------------------\n",
      "r = 19\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 55\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "  -1. -1.  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.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.\n",
      "   0.  0. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  1.  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.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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. -1.  0.\n",
      "   0.  0.  0. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 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.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.\n",
      "   0.  0.  0.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0. -1.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 57\n",
      "[[ 1. -1.  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.]\n",
      " [ 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.  1.]\n",
      " [ 0.  1. -1.  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.]\n",
      " [ 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.  1. -1.]\n",
      " [ 0.  0.  1. -1.  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.]\n",
      " [ 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.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  1. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   1. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.\n",
      "   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.  1.\n",
      "  -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.\n",
      "   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.  1. -1.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.\n",
      "   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.  1. -1.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.\n",
      "   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.  1. -1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 59\n",
      "[[ 1.  1.  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.]\n",
      " [ 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. -1.]\n",
      " [ 0. -1.  1.  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.]\n",
      " [ 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. -1.  1.]\n",
      " [ 0.  0. -1.  1.  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.]\n",
      " [ 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. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  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.]\n",
      " [ 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. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "  -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.\n",
      "   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. -1.\n",
      "   1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.\n",
      "   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. -1.  1.\n",
      "   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. -1.  1.  0.  0.  0.\n",
      "   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. -1.  1.  0.\n",
      "   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. -1.  1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 61\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0. -1.  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.\n",
      "   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.\n",
      "   0.  0.  1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0. -1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  1.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0. -1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "  -1.  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.\n",
      "   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.\n",
      "   1.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.\n",
      "   0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.]\n",
      " [ 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. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  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.]\n",
      " [ 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. -1.  0.  0.  0.]\n",
      " [ 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.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 118\n",
      "____\n",
      "r = 5\n",
      "[[ 1.  1.]\n",
      " [ 0. -1.]]\n",
      "--------------------------\n",
      "r = 7\n",
      "[[ 1.  0.  1.]\n",
      " [ 0. -1.  0.]\n",
      " [ 0.  0. -1.]]\n",
      "--------------------------\n",
      "r = 15\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.]]\n",
      "--------------------------\n",
      "r = 29\n",
      "[[ 1. -1.  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.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 31\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  1.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 120\n",
      "____\n",
      "r = 19\n",
      "[[ 1.  0.  0.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1. -1.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  1.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0. -1.]]\n",
      "--------------------------\n",
      "r = 59\n",
      "[[ 1. -1.  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.]\n",
      " [ 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.  1.]\n",
      " [ 0.  1. -1.  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.]\n",
      " [ 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.  1. -1.]\n",
      " [ 0.  0.  1. -1.  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.]\n",
      " [ 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.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  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.]\n",
      " [ 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.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.\n",
      "   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.  1.\n",
      "  -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.\n",
      "   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.  1. -1.\n",
      "   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.  1. -1.  0.  0.  0.\n",
      "   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.  1. -1.  0.\n",
      "   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.  1. -1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 61\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 1.  1.  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.]\n",
      " [ 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. -1.]\n",
      " [ 0. -1.  1.  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.]\n",
      " [ 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. -1.  1.]\n",
      " [ 0.  0. -1.  1.  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.]\n",
      " [ 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. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  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.]\n",
      " [ 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. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  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.]\n",
      " [ 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. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "  -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.\n",
      "   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. -1.\n",
      "   1.  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. -1.  1.  0.  0.  0.\n",
      "   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. -1.  1.\n",
      "   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. -1.  1.  0.  0.\n",
      "   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. -1.  1.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 122\n",
      "____\n",
      "r = 5\n",
      "[[ 1. -1.]\n",
      " [ 0.  1.]]\n",
      "--------------------------\n",
      "r = 15\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.]]\n",
      "--------------------------\n",
      "r = 29\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  1.  0.]]\n",
      "--------------------------\n",
      "r = 31\n",
      "[[ 1.  1.  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. -1.]\n",
      " [ 0. -1.  1.  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. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 124\n",
      "____\n",
      "r = 5\n",
      "[[ 1.  0.]\n",
      " [ 0. -1.]]\n",
      "--------------------------\n",
      "r = 7\n",
      "[[ 1.  1.  0.]\n",
      " [ 0.  0. -1.]\n",
      " [ 0. -1.  1.]]\n",
      "--------------------------\n",
      "r = 9\n",
      "[[ 1.  1.  0.  0.]\n",
      " [ 0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.]\n",
      " [ 0.  0. -1.  1.]]\n",
      "--------------------------\n",
      "r = 13\n",
      "[[ 1.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  1.]\n",
      " [ 0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0. -1.]\n",
      " [ 0. -1.  0. -1.  0.  0.]]\n",
      "--------------------------\n",
      "r = 21\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 59\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0. -1.  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.\n",
      "   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.\n",
      "   0.  1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0. -1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   1.  0.  0.  1.  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.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "  -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0. -1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.\n",
      "   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.  1.\n",
      "   0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.\n",
      "   0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.]\n",
      " [ 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. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  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.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 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. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.\n",
      "   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.  1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 61\n",
      "[[ 1. -1.  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.]\n",
      " [ 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.  1.]\n",
      " [ 0.  1. -1.  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.]\n",
      " [ 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.  1. -1.]\n",
      " [ 0.  0.  1. -1.  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.]\n",
      " [ 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.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  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.]\n",
      " [ 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.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  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.]\n",
      " [ 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.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.\n",
      "   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.  1.\n",
      "  -1.  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.  1. -1.  0.  0.  0.\n",
      "   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.  1. -1.\n",
      "   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.  1. -1.  0.  0.\n",
      "   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.  1. -1.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 63\n",
      "[[ 1.  1.  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.]\n",
      " [ 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. -1.]\n",
      " [ 0. -1.  1.  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.]\n",
      " [ 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. -1.  1.]\n",
      " [ 0.  0. -1.  1.  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.]\n",
      " [ 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. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  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.]\n",
      " [ 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. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  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.]\n",
      " [ 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. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  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.]\n",
      " [ 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. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.\n",
      "   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.\n",
      "  -1.  1.  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. -1.  1.  0.  0.  0.\n",
      "   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. -1.\n",
      "   1.  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. -1.  1.  0.  0.\n",
      "   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. -1.  1.\n",
      "   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. -1.  1.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 65\n",
      "[[1. 0. 0. ... 0. 0. 0.]\n",
      " [0. 0. 0. ... 0. 0. 0.]\n",
      " [0. 0. 0. ... 0. 0. 0.]\n",
      " ...\n",
      " [0. 0. 0. ... 0. 0. 0.]\n",
      " [0. 0. 0. ... 0. 0. 0.]\n",
      " [0. 0. 0. ... 0. 0. 0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 126\n",
      "____\n",
      "r = 11\n",
      "[[ 1.  0.  0.  0.  1.]\n",
      " [ 0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0. -1. -1.]\n",
      " [ 0. -1.  0.  0.  0.]\n",
      " [ 0.  1.  0.  1.  0.]]\n",
      "--------------------------\n",
      "r = 31\n",
      "[[ 1. -1.  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.  1.]\n",
      " [ 0.  1. -1.  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.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 128\n",
      "____\n",
      "r = 5\n",
      "[[ 1.  1.]\n",
      " [ 0. -1.]]\n",
      "--------------------------\n",
      "r = 7\n",
      "[[ 1. -1.  0.]\n",
      " [ 0.  0.  1.]\n",
      " [ 0.  1. -1.]]\n",
      "--------------------------\n",
      "r = 9\n",
      "[[ 1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.]\n",
      " [ 0.  0.  1. -1.]]\n",
      "--------------------------\n",
      "r = 13\n",
      "[[ 1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.]]\n",
      "--------------------------\n",
      "r = 21\n",
      "[[ 1. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 61\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  1.  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.\n",
      "   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.\n",
      "   0.  0. -1. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  1.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0. -1.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  1.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   1.  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.\n",
      "   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.\n",
      "  -1.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.\n",
      "   0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.]\n",
      " [ 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.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  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.]\n",
      " [ 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.  1.  0.  0.  0.]\n",
      " [ 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. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r = 63\n",
      "[[ 1. -1.  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.]\n",
      " [ 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.  1.]\n",
      " [ 0.  1. -1.  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.]\n",
      " [ 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.  1. -1.]\n",
      " [ 0.  0.  1. -1.  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.]\n",
      " [ 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.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  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.]\n",
      " [ 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.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  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.]\n",
      " [ 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.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  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.]\n",
      " [ 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.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.\n",
      "   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.\n",
      "   0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.\n",
      "   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.\n",
      "   1. -1.  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.  1. -1.  0.  0.  0.\n",
      "   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.  1.\n",
      "  -1.  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.  1. -1.  0.  0.\n",
      "   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.  1. -1.\n",
      "   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.  1. -1.  0.\n",
      "   0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 65\n",
      "[[ 1.  1.  0. ...  0.  0.  0.]\n",
      " [ 0.  0.  0. ...  0.  0. -1.]\n",
      " [ 0. -1.  1. ...  0.  0.  0.]\n",
      " ...\n",
      " [ 0.  0.  0. ...  0.  0.  0.]\n",
      " [ 0.  0.  0. ...  0.  0.  0.]\n",
      " [ 0.  0.  0. ...  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 67\n",
      "[[1. 0. 0. ... 0. 0. 0.]\n",
      " [0. 0. 0. ... 0. 0. 0.]\n",
      " [0. 0. 0. ... 0. 0. 0.]\n",
      " ...\n",
      " [0. 0. 0. ... 0. 0. 0.]\n",
      " [0. 0. 0. ... 0. 0. 0.]\n",
      " [0. 0. 0. ... 0. 0. 0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 130\n",
      "____\n",
      "r = 11\n",
      "[[ 1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.]]\n",
      "--------------------------\n",
      "r = 17\n",
      "[[ 1.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1. -1.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  1.  0.  1.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0. -1.]]\n",
      "--------------------------\n",
      "r = 31\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0. -1.  0.]]\n",
      "--------------------------\n",
      "r = 33\n",
      "[[ 1.  1.  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. -1.]\n",
      " [ 0. -1.  1.  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. -1.  1.]\n",
      " [ 0.  0. -1.  1.  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. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 132\n",
      "____\n",
      "r = 7\n",
      "[[ 1.  0.  1.]\n",
      " [ 0. -1.  0.]\n",
      " [ 0.  0. -1.]]\n",
      "--------------------------\n",
      "r = 13\n",
      "[[ 1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.]]\n",
      "--------------------------\n",
      "r = 23\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1. -1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  1.  0.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  0.  0. -1.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  1.  0.  0.  0.  1.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 65\n",
      "[[ 1. -1.  0. ...  0.  0.  0.]\n",
      " [ 0.  0.  0. ...  0.  0.  1.]\n",
      " [ 0.  1. -1. ...  0.  0.  0.]\n",
      " ...\n",
      " [ 0.  0.  0. ...  0.  0.  0.]\n",
      " [ 0.  0.  0. ...  0.  0.  0.]\n",
      " [ 0.  0.  0. ...  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 67\n",
      "[[ 1.  1.  0. ...  0.  0.  0.]\n",
      " [ 0.  0.  0. ...  0.  0. -1.]\n",
      " [ 0. -1.  1. ...  0.  0.  0.]\n",
      " ...\n",
      " [ 0.  0.  0. ...  0.  0.  0.]\n",
      " [ 0.  0.  0. ...  0.  0.  0.]\n",
      " [ 0.  0.  0. ...  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n",
      "q = 134\n",
      "____\n",
      "r = 5\n",
      "[[ 1.  0.]\n",
      " [ 0. -1.]]\n",
      "--------------------------\n",
      "r = 7\n",
      "[[ 1.  0. -1.]\n",
      " [ 0.  1.  0.]\n",
      " [ 0.  0.  1.]]\n",
      "--------------------------\n",
      "r = 11\n",
      "[[ 1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.]\n",
      " [ 0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  1. -1.]\n",
      " [ 0.  0.  1. -1.  0.]]\n",
      "--------------------------\n",
      "r = 17\n",
      "[[ 1.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0. -1.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  1.]\n",
      " [ 0.  0. -1.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  1.  0.]\n",
      " [ 0.  0.  0. -1.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  1.  0.  0.]]\n",
      "--------------------------\n",
      "r = 33\n",
      "[[ 1. -1.  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.  1.]\n",
      " [ 0.  1. -1.  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.  1. -1.]\n",
      " [ 0.  0.  1. -1.  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.  1. -1.  0.]\n",
      " [ 0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  1. -1.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "r = 35\n",
      "[[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1. -1.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  1.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0. -1.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0. -1.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.]\n",
      " [ 0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.  1.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
      " [ 0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0.  0.  0. -1.  0.]\n",
      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0. -1.  0.  0.  0.  0. -1.  0.  0.]\n",
      " [ 0.  0.  0. -1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  1.  0.]\n",
      " [ 0.  0.  0.  1.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.  0.]]\n",
      "--------------------------\n",
      "-------------------------------------------------------------------------------\n"
     ]
    }
   ],
   "source": [
    "for q in range(2,135,2):\n",
    "    print(\"q = %s\" % q)\n",
    "    print(\"____\")\n",
    "    rvals = qp6Bound(q)\n",
    "    #rvals = [r  for r in range(3,575,2) if math.gcd(r,q) == 1]\n",
    "    for r in rvals[1:]:\n",
    "        R = RT1s(r,q)\n",
    "        cols = []\n",
    "        for i in range(1,R.shape[1]):\n",
    "            c = sum(R[:,i])\n",
    "            cols.append(c)\n",
    "        #print(cols)\n",
    "        if int(sum(R[1]))%2 > 0:\n",
    "            print(\"r = %s\" % r)\n",
    "            print(R)\n",
    "            print(\"--------------------------\")\n",
    "    print(\"-------------------------------------------------------------------------------\")"
   ]
  }
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