Magma V2.19-8 Tue Aug 20 2013 23:41:14 on localhost [Seed = 1764691429] Type ? for help. Type -D to quit. Loading file "L12n1076__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1076 geometric_solution 10.26159882 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 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 0.831637102436 0.984371878082 0 5 7 6 0132 0132 0132 0132 1 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 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 0.891931359122 0.705162041471 8 0 9 7 0132 0132 0132 1302 0 0 1 1 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 0 -2 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.770525999770 0.655695900106 8 6 7 0 1023 1302 1302 0132 0 0 1 1 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 1 -1 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.831637102436 0.984371878082 6 5 0 8 0132 1302 0132 1023 0 0 1 1 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 1 1 -2 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 0.284665418200 0.817546183950 9 1 10 4 1023 0132 0132 2031 1 0 1 1 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642332709100 0.408773091975 4 10 1 3 0132 0132 0132 2031 1 0 1 1 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 0 0 0 -1 -3 0 4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.310075207759 0.545455398538 3 10 2 1 2031 2031 2031 0132 1 0 1 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 -1 1 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620150415517 1.090910797076 2 3 9 4 0132 1023 1023 1023 0 0 1 1 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 0 0 0 -2 0 0 2 1 0 0 -1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.770525999770 0.655695900106 10 5 8 2 2103 1023 1023 0132 0 0 1 1 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 0 0 0 0 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618683664021 0.483142083980 7 6 9 5 1302 0132 2103 0132 1 0 1 1 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 0 0 0 1 0 0 -1 0 1 0 -1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.212343828955 1.385571306373 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_0'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_0011_7']), 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_7']), '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_10' : 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_0101_7'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1001_0']), 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0101_7'], 'c_1100_10' : negation(d['c_0101_2']), 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0101_0'], 'c_1100_8' : negation(d['c_0101_7']), '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'], '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_0'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_5'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_7']), 'c_0101_8' : d['c_0101_5'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], '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_5'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_7, c_0110_5, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 34470/16211*c_1001_0*c_1001_5^2 + 152959/9976*c_1001_0*c_1001_5 + 1042177/64844*c_1001_0 + 2193077/226954*c_1001_5^2 - 4964019/69832*c_1001_5 - 25978997/453908, c_0011_0 - 1, c_0011_10 + 2*c_1001_0*c_1001_5 + 3*c_1001_0 + 2*c_1001_5 + 2, c_0011_7 + 1/4*c_1001_0*c_1001_5^2 - 3/2*c_1001_0*c_1001_5 - 2*c_1001_0 - 1/4*c_1001_5^2 + 2*c_1001_5 + 2, c_0101_0 - 1, c_0101_1 + 1/4*c_1001_0*c_1001_5^2 - 3/2*c_1001_0*c_1001_5 - 2*c_1001_0 + 1/4*c_1001_5^2 - 3/2*c_1001_5 - 2, c_0101_2 - c_1001_0 + 1/4*c_1001_5^2 - 2*c_1001_5 - 2, c_0101_5 + 1/4*c_1001_0*c_1001_5^2 - 2*c_1001_0*c_1001_5 - 2*c_1001_0 - 1, c_0101_7 - 3/7*c_1001_0*c_1001_5^2 + 45/14*c_1001_0*c_1001_5 + 16/7*c_1001_0, c_0110_5 + 1/4*c_1001_0*c_1001_5^2 - 2*c_1001_0*c_1001_5 - 2*c_1001_0 - 1/4*c_1001_5^2 + 3/2*c_1001_5 + 2, c_1001_0^2 - 8/7*c_1001_0*c_1001_5^2 + 60/7*c_1001_0*c_1001_5 + 52/7*c_1001_0 + 1, c_1001_5^3 - 6*c_1001_5^2 - 16*c_1001_5 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB