n=5: 5_1*=C(5) [det 5, sigma 4]  -> |det| = 5, signature = 4  OK
      V = [[1, 0, 0, 0], [-1, 1, 0, 0], [0, -1, 1, 0], [0, 0, -1, 1]]
n=9: 3_1*=C(3) [det 3, sigma 2] # 3_1*=C(3) [det 3, sigma 2]  -> |det| = 9, signature = 4  OK
      V = [[1, 0, 0, 0], [-1, 1, 0, 0], [0, 0, 1, 0], [0, 0, -1, 1]]
n=13: 7_3*=C(43) [det 13, sigma 4]  -> |det| = 13, signature = 4  OK
      V = [[1, 0, 0, 0], [-1, 1, 0, 0], [0, -1, 1, 0], [0, 0, -1, 2]]
n=17: 7_5*=C(322) [det 17, sigma 4]  -> |det| = 17, signature = 4  OK
      V = [[1, 0, 0, 0], [-1, 1, 0, 0], [0, -1, 2, 0], [0, 0, -1, 1]]
n=21: 9_4=C(54) [det 21, sigma 4]  -> |det| = 21, signature = 4  OK
      V = [[3, 1, 0, 0], [0, 1, 1, 0], [0, 0, 1, 1], [0, 0, 0, 1]]
n=25: 5_1*=C(5) [det 5, sigma 4] # 4_1=C(22) [det 5, sigma 0]  -> |det| = 25, signature = 4  OK
      V = [[1, 0, 0, 0, 0, 0], [-1, 1, 0, 0, 0, 0], [0, -1, 1, 0, 0, 0], [0, 0, -1, 1, 0, 0], [0, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, -1]]
n=29: 9_7*=C(342) [det 29, sigma 4]  -> |det| = 29, signature = 4  OK
      V = [[1, 0, 0, 0], [-1, 1, 0, 0], [0, -1, 3, 0], [0, 0, -1, 1]]
n=33: 9_10=C(333) [det 33, sigma 4]  -> |det| = 33, signature = 4  OK
      V = [[2, 1, 0, 0], [0, 1, 1, 0], [0, 0, 1, 1], [0, 0, 0, 2]]
n=37: 9_13*=C(3213) [det 37, sigma 4]  -> |det| = 37, signature = 4  OK
      V = [[1, 0, 0, 0], [-1, 1, 0, 0], [0, -1, 2, 0], [0, 0, -1, 2]]
n=41: 9_18=C(3222) [det 41, sigma 4]  -> |det| = 41, signature = 4  OK
      V = [[2, 1, 0, 0], [0, 1, 1, 0], [0, 0, 2, 1], [0, 0, 0, 1]]
n=45: 9_23*=C(22122) [det 45, sigma 4]  -> |det| = 45, signature = 4  OK
      V = [[1, 0, 0, 0], [-1, 2, 0, 0], [0, -1, 2, 0], [0, 0, -1, 1]]
n=49: 5_2=C(32) [det 7, sigma 2] # 5_2=C(32) [det 7, sigma 2]  -> |det| = 49, signature = 4  OK
      V = [[2, 1, 0, 0], [0, 1, 0, 0], [0, 0, 2, 1], [0, 0, 0, 1]]
n=81: 3_1*=C(3) [det 3, sigma 2] # 8_11=C(3212) [det 27, sigma 2]  -> |det| = 81, signature = 4  OK
      V = [[1, 0, 0, 0, 0, 0], [-1, 1, 0, 0, 0, 0], [0, 0, 2, 1, 0, 0], [0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, -1]]
n=121: 6_2*=C(312) [det 11, sigma 2] # 6_2*=C(312) [det 11, sigma 2]  -> |det| = 121, signature = 4  OK
      V = [[1, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 0, 0, 0, 0, 0, 0], [0, -1, 1, 0, 0, 0, 0, 0], [0, 0, -1, -1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, -1, 1, 0, 0], [0, 0, 0, 0, 0, -1, 1, 0], [0, 0, 0, 0, 0, 0, -1, -1]]
n=169: 7_3*=C(43) [det 13, sigma 4] # 6_3=C(2112) [det 13, sigma 0]  -> |det| = 169, signature = 4  OK
      V = [[1, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 0, 0, 0, 0, 0, 0], [0, -1, 1, 0, 0, 0, 0, 0], [0, 0, -1, 2, 0, 0, 0, 0], [0, 0, 0, 0, -1, 1, 0, 0], [0, 0, 0, 0, 0, -1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 1]]
n=225: 7_4=C(313) [det 15, sigma 2] # 7_4=C(313) [det 15, sigma 2]  -> |det| = 225, signature = 4  OK
      V = [[2, 1, 0, 0], [0, 2, 0, 0], [0, 0, 2, 1], [0, 0, 0, 2]]
n=289: 7_5*=C(322) [det 17, sigma 4] # 8_3=C(44) [det 17, sigma 0]  -> |det| = 289, signature = 4  OK
      V = [[1, 0, 0, 0, 0, 0], [-1, 1, 0, 0, 0, 0], [0, -1, 2, 0, 0, 0], [0, 0, -1, 1, 0, 0], [0, 0, 0, 0, 2, 1], [0, 0, 0, 0, 0, -2]]
n=361: 7_6=C(2212) [det 19, sigma 2] # 7_6=C(2212) [det 19, sigma 2]  -> |det| = 361, signature = 4  OK
      V = [[1, 1, 0, 0, 0, 0, 0, 0], [0, -1, 1, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, -1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 1]]
n=441: 9_4=C(54) [det 21, sigma 4] # 7_7=C(21112) [det 21, sigma 0]  -> |det| = 441, signature = 4  OK
      V = [[3, 1, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, -1, 1, 0], [0, 0, 0, 0, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 1]]
n=529: 8_6*=C(332) [det 23, sigma 2] # 8_6*=C(332) [det 23, sigma 2]  -> |det| = 529, signature = 4  OK
      V = [[1, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 0, 0, 0, 0, 0, 0], [0, -1, 2, 0, 0, 0, 0, 0], [0, 0, -1, -1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, -1, 1, 0, 0], [0, 0, 0, 0, 0, -1, 2, 0], [0, 0, 0, 0, 0, 0, -1, -1]]
n=625: 5_1*=C(5) [det 5, sigma 4] # 4_1=C(22) [det 5, sigma 0] # 4_1=C(22) [det 5, sigma 0] # 4_1=C(22) [det 5, sigma 0]  -> |det| = 625, signature = 4  OK
      V = [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, -1]]
n=729: 8_11=C(3212) [det 27, sigma 2] # 8_11=C(3212) [det 27, sigma 2]  -> |det| = 729, signature = 4  OK
      V = [[2, 1, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, -1]]
n=841: 9_7*=C(342) [det 29, sigma 4] # 8_12=C(2222) [det 29, sigma 0]  -> |det| = 841, signature = 4  OK
      V = [[1, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 0, 0, 0, 0, 0, 0], [0, -1, 3, 0, 0, 0, 0, 0], [0, 0, -1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, -1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, -1]]
n=961: 8_14*=C(22112) [det 31, sigma 2] # 8_14*=C(22112) [det 31, sigma 2]  -> |det| = 961, signature = 4  OK
      V = [[1, 0, 0, 0, 0, 0, 0, 0], [-1, 2, 0, 0, 0, 0, 0, 0], [0, -1, 1, 0, 0, 0, 0, 0], [0, 0, -1, -1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, -1, 2, 0, 0], [0, 0, 0, 0, 0, -1, 1, 0], [0, 0, 0, 0, 0, 0, -1, -1]]
PYTHONDONTWRITEBYTECODE=1 python3 named_examples.py  0.07s user 0.01s system 97% cpu 0.075 total
