Magma V2.19-8 Thu Sep 12 2013 15:24:47 on localhost [Seed = 4120228681] Type ? for help. Type -D to quit. Loading file "10^2_32__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_32 geometric_solution 15.94042515 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 17 1 2 3 4 0132 0132 0132 0132 1 1 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000000000000 1.000000000000 0 3 2 5 0132 1023 1023 0132 1 1 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000000000000 1.000000000000 3 0 1 6 1023 0132 1023 0132 1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000000 1.000000000000 1 2 7 0 1023 1023 0132 0132 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000000 1.000000000000 8 8 0 9 0132 1302 0132 0132 1 1 0 0 0 1 -1 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 0 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.853179402524 0.848323018563 10 11 1 12 0132 0132 0132 0132 1 1 0 0 0 0 0 0 -1 0 1 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 0 0 4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.305015822794 0.921216558895 13 13 2 12 0132 1302 0132 1023 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579097612659 0.884769788729 14 14 15 3 0132 1230 0132 0132 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579097612659 0.884769788729 4 10 16 4 0132 2103 0132 2031 0 1 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 0 1 0 -1 0 1 -1 4 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198082794016 1.144513757835 10 16 4 15 2103 1230 0132 0132 1 1 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719636744291 0.364204928987 5 8 9 11 0132 2103 2103 1023 0 1 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 -1 1 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.465403766583 1.485684420578 16 5 15 10 1302 0132 1302 1023 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.014273215461 0.967576145235 16 14 5 6 0132 1302 0132 1023 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606323501408 0.762942383435 6 14 15 6 0132 0132 3012 2031 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438450765981 0.921657855247 7 13 7 12 0132 0132 3012 2031 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 1 0 -1 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482103104558 0.791264748372 11 13 9 7 2031 1230 0132 0132 1 1 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606323501408 0.762942383435 12 11 9 8 0132 2031 3012 0132 0 1 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 0 0 3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.201070399966 1.285055776428 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_0101_16'], 'c_1001_14' : negation(d['c_0011_13']), 'c_1001_16' : d['c_0011_4'], 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : negation(d['c_0011_4']), 'c_1001_13' : d['c_0011_12'], 'c_1001_12' : d['c_0101_7'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0101_13'], 'c_1001_6' : d['c_0101_6'], 'c_0101_13' : d['c_0101_13'], 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_0101_14'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_0011_10'], 'c_1010_13' : negation(d['c_0011_13']), 'c_1010_12' : d['c_0101_13'], 'c_1010_11' : d['c_0101_0'], 'c_1010_10' : negation(d['c_0011_4']), 'c_1010_16' : d['c_0011_10'], 'c_1010_15' : d['c_0101_13'], 'c_1010_14' : d['c_0011_12'], 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_0_15' : d['1'], 's_0_16' : d['1'], 's_3_16' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0101_10'], 'c_0101_16' : d['c_0101_16'], 'c_0101_15' : d['c_0101_15'], 'c_0101_14' : d['c_0101_14'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : d['1'], 's_2_14' : d['1'], 's_2_15' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_15' : negation(d['c_0011_12']), 'c_0011_14' : negation(d['c_0011_13']), 'c_0011_16' : negation(d['c_0011_12']), 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : negation(d['c_1001_9']), 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_1100_1']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_1']), 'c_1100_14' : negation(d['c_0101_13']), 'c_1100_15' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_16' : negation(d['c_1001_9']), 'c_1100_11' : d['c_0101_15'], 'c_1100_10' : negation(d['c_0101_15']), 'c_1100_13' : negation(d['c_0101_16']), 's_3_10' : d['1'], 'c_1100_9' : d['c_1100_0'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0101_14'], 'c_1010_6' : d['c_0101_16'], 'c_1010_5' : d['c_0101_7'], 's_3_12' : d['1'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0101_1'], 's_3_15' : d['1'], 'c_1010_9' : d['c_0101_16'], 'c_1010_8' : d['c_0011_4'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_13'], 'c_0011_6' : negation(d['c_0011_13']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_4']), 'c_0110_10' : d['c_0101_0'], 'c_0110_13' : d['c_0101_6'], 'c_0110_12' : d['c_0101_16'], 'c_0110_15' : d['c_0101_7'], 'c_0110_14' : d['c_0101_7'], 'c_0110_16' : d['c_0101_10'], 'c_1010_4' : d['c_1001_9'], 'c_0101_12' : d['c_0101_10'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_3_14' : d['1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_14'], 'c_0101_2' : d['c_0101_14'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_16' : negation(d['1']), 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_15'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_14'], 'c_0110_6' : d['c_0101_13'], 'c_1001_1' : d['c_0101_14']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_13, c_0101_14, c_0101_15, c_0101_16, c_0101_6, c_0101_7, c_1001_9, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 74065/208256*c_1001_9^7 - 98195/416512*c_1001_9^6 - 873511/416512*c_1001_9^5 + 387753/208256*c_1001_9^4 + 30659/6508*c_1001_9^3 - 1073791/416512*c_1001_9^2 - 1601967/416512*c_1001_9 - 974207/416512, c_0011_0 - 1, c_0011_10 + 111/1627*c_1001_9^7*c_1100_1 - 222/1627*c_1001_9^7 + 547/3254*c_1001_9^6*c_1100_1 - 547/1627*c_1001_9^6 - 1189/3254*c_1001_9^5*c_1100_1 + 1189/1627*c_1001_9^5 - 1005/1627*c_1001_9^4*c_1100_1 + 2010/1627*c_1001_9^4 + 4879/3254*c_1001_9^3*c_1100_1 - 4879/1627*c_1001_9^3 + 2206/1627*c_1001_9^2*c_1100_1 - 4412/1627*c_1001_9^2 - 1207/1627*c_1001_9*c_1100_1 + 2414/1627*c_1001_9 + 645/3254*c_1100_1 - 645/1627, c_0011_12 - 460/1627*c_1001_9^7*c_1100_1 + 920/1627*c_1001_9^7 + 347/1627*c_1001_9^6*c_1100_1 - 694/1627*c_1001_9^6 + 4473/3254*c_1001_9^5*c_1100_1 - 4473/1627*c_1001_9^5 - 6753/3254*c_1001_9^4*c_1100_1 + 6753/1627*c_1001_9^4 - 6573/3254*c_1001_9^3*c_1100_1 + 6573/1627*c_1001_9^3 + 4988/1627*c_1001_9^2*c_1100_1 - 9976/1627*c_1001_9^2 - 2620/1627*c_1001_9*c_1100_1 + 5240/1627*c_1001_9 - 2629/3254*c_1100_1 + 2629/1627, c_0011_13 - 653/1627*c_1001_9^7*c_1100_1 + 681/3254*c_1001_9^6*c_1100_1 + 3021/1627*c_1001_9^5*c_1100_1 - 3366/1627*c_1001_9^4*c_1100_1 - 9589/3254*c_1001_9^3*c_1100_1 + 7215/3254*c_1001_9^2*c_1100_1 - 2163/1627*c_1001_9*c_1100_1 + 339/3254*c_1100_1, c_0011_4 - 131/1627*c_1001_9^7*c_1100_1 + 262/1627*c_1001_9^7 + 615/3254*c_1001_9^6*c_1100_1 - 615/1627*c_1001_9^6 + 621/1627*c_1001_9^5*c_1100_1 - 1242/1627*c_1001_9^5 - 1936/1627*c_1001_9^4*c_1100_1 + 3872/1627*c_1001_9^4 - 248/1627*c_1001_9^3*c_1100_1 + 496/1627*c_1001_9^3 + 3670/1627*c_1001_9^2*c_1100_1 - 7340/1627*c_1001_9^2 - 1595/1627*c_1001_9*c_1100_1 + 3190/1627*c_1001_9 - 1113/3254*c_1100_1 + 1113/1627, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 - 262/1627*c_1001_9^7 + 615/1627*c_1001_9^6 + 1242/1627*c_1001_9^5 - 3872/1627*c_1001_9^4 - 496/1627*c_1001_9^3 + 7340/1627*c_1001_9^2 - 1563/1627*c_1001_9 - 1113/1627, c_0101_13 + 1790/1627*c_1001_9^7 - 749/1627*c_1001_9^6 - 8473/1627*c_1001_9^5 + 8594/1627*c_1001_9^4 + 14964/1627*c_1001_9^3 - 10143/1627*c_1001_9^2 + 3475/1627*c_1001_9 + 1419/1627, c_0101_14 + c_1100_1 - 1, c_0101_15 - 262/1627*c_1001_9^7 + 615/1627*c_1001_9^6 + 1242/1627*c_1001_9^5 - 3872/1627*c_1001_9^4 - 496/1627*c_1001_9^3 + 7340/1627*c_1001_9^2 - 1563/1627*c_1001_9 - 1113/1627, c_0101_16 + 484/1627*c_1001_9^7 - 68/1627*c_1001_9^6 - 2431/1627*c_1001_9^5 + 1862/1627*c_1001_9^4 + 5375/1627*c_1001_9^3 - 2928/1627*c_1001_9^2 - 851/1627*c_1001_9 + 1758/1627, c_0101_6 - c_1100_1 + 1, c_0101_7 + 484/1627*c_1001_9^7 - 68/1627*c_1001_9^6 - 2431/1627*c_1001_9^5 + 1862/1627*c_1001_9^4 + 5375/1627*c_1001_9^3 - 2928/1627*c_1001_9^2 - 851/1627*c_1001_9 + 1758/1627, c_1001_9^8 - 1/2*c_1001_9^7 - 5*c_1001_9^6 + 11/2*c_1001_9^5 + 9*c_1001_9^4 - 15/2*c_1001_9^3 + c_1001_9^2 + c_1001_9 + 1/2, c_1100_0 + c_1100_1, c_1100_1^2 - 2*c_1100_1 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 25.620 Total time: 25.820 seconds, Total memory usage: 82.12MB