Magma V2.19-8 Tue Aug 20 2013 23:48:00 on localhost [Seed = 4240086657] Type ? for help. Type -D to quit. Loading file "K10n41__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K10n41 geometric_solution 12.27123636 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 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 0 1 -1 0 2 0 -2 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.157986997975 0.922376363747 0 4 6 5 0132 0132 0132 0132 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 -1 0 1 -2 0 -1 3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.866080612789 0.839491733887 0 0 4 7 2031 0132 0132 0132 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 -1 1 0 1 0 0 -1 1 0 0 -1 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.819595598994 1.053256011805 8 9 0 5 0132 0132 0132 2103 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 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640050376973 1.126230850475 5 1 10 2 0213 0132 0132 0132 0 0 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 1 0 -1 0 0 0 0 -3 0 0 3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.837767131026 0.690574080181 4 11 1 3 0213 0132 0132 2103 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 0 0 -1 1 3 0 -3 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 0.308075507239 0.610817323777 8 9 10 1 3120 0321 0321 0132 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 0 0 0 0 0 0 0.441048346291 0.518625345326 12 11 2 9 0132 3201 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.422646514506 1.370433255027 3 11 10 6 0132 2310 2310 3120 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 0 0 0 0 0.794504330999 0.666320645972 12 3 7 6 1023 0132 0132 0321 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441048346291 0.518625345326 12 8 6 4 2103 3201 0321 0132 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 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330834748280 0.537476534023 12 5 7 8 3201 0132 2310 3201 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 0 0 0 0 0 0 0.327179231725 0.455336362188 7 9 10 11 0132 1023 2103 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.169451101026 1.349315771324 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_11']), 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_1001_11']), 'c_1001_8' : negation(d['c_1001_4']), 'c_1010_12' : negation(d['c_0011_6']), 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_10'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_6'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_1001_6'], 'c_1100_7' : d['c_1001_6'], 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1001_6'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : d['c_1001_6'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_1001_11']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_1001_11']), 'c_1010_2' : negation(d['c_0101_11']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : negation(d['c_0011_6']), 's_3_1' : d['1'], 's_3_0' : 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_0011_11'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : 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' : d['c_0011_12'], 'c_0011_8' : d['c_0011_12'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_12']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_6'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0011_11']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_6']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0011_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0011_10'], 'c_1100_8' : d['c_0011_10'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_6, c_0101_1, c_0101_11, c_0101_2, c_0101_8, c_1001_1, c_1001_11, c_1001_4, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 21937117/60515*c_1001_6^5 + 7418902/60515*c_1001_6^4 - 39986399/12103*c_1001_6^3 - 52289610/12103*c_1001_6^2 - 262477272/60515*c_1001_6 - 64676977/60515, c_0011_0 - 1, c_0011_10 + 41/7*c_1001_6^5 - 15/7*c_1001_6^4 + 375/7*c_1001_6^3 + 479/7*c_1001_6^2 + 484/7*c_1001_6 + 120/7, c_0011_11 + 32/7*c_1001_6^5 - 10/7*c_1001_6^4 + 292/7*c_1001_6^3 + 387/7*c_1001_6^2 + 402/7*c_1001_6 + 101/7, c_0011_12 + 32/7*c_1001_6^5 - 10/7*c_1001_6^4 + 292/7*c_1001_6^3 + 387/7*c_1001_6^2 + 395/7*c_1001_6 + 101/7, c_0011_6 - 54/7*c_1001_6^5 + 16/7*c_1001_6^4 - 491/7*c_1001_6^3 - 664/7*c_1001_6^2 - 667/7*c_1001_6 - 170/7, c_0101_1 - 69/7*c_1001_6^5 + 22/7*c_1001_6^4 - 627/7*c_1001_6^3 - 836/7*c_1001_6^2 - 827/7*c_1001_6 - 211/7, c_0101_11 - 32/7*c_1001_6^5 + 10/7*c_1001_6^4 - 292/7*c_1001_6^3 - 387/7*c_1001_6^2 - 395/7*c_1001_6 - 101/7, c_0101_2 + 4*c_1001_6^5 - c_1001_6^4 + 36*c_1001_6^3 + 51*c_1001_6^2 + 50*c_1001_6 + 13, c_0101_8 - 47/7*c_1001_6^5 + 16/7*c_1001_6^4 - 428/7*c_1001_6^3 - 559/7*c_1001_6^2 - 562/7*c_1001_6 - 135/7, c_1001_1 + 69/7*c_1001_6^5 - 22/7*c_1001_6^4 + 627/7*c_1001_6^3 + 836/7*c_1001_6^2 + 834/7*c_1001_6 + 211/7, c_1001_11 - 41/7*c_1001_6^5 + 15/7*c_1001_6^4 - 375/7*c_1001_6^3 - 479/7*c_1001_6^2 - 491/7*c_1001_6 - 120/7, c_1001_4 - 47/7*c_1001_6^5 + 16/7*c_1001_6^4 - 428/7*c_1001_6^3 - 559/7*c_1001_6^2 - 562/7*c_1001_6 - 135/7, c_1001_6^6 + 9*c_1001_6^4 + 15*c_1001_6^3 + 16*c_1001_6^2 + 7*c_1001_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.000 Total time: 2.209 seconds, Total memory usage: 64.12MB