Magma V2.19-8 Wed Aug 21 2013 00:58:56 on localhost [Seed = 408814450] Type ? for help. Type -D to quit. Loading file "L13n6072__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6072 geometric_solution 11.23977460 oriented_manifold CS_known -0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 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 -1 0 1 0 0 -1 1 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.886581655095 1.147955018984 0 3 6 5 0132 3012 0132 0132 0 1 1 1 0 1 -1 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 -3 3 0 0 0 0 0 3 1 0 -4 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085234369339 0.862693086857 5 0 7 5 0213 0132 0132 2031 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 1 0 -1 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701081285007 0.349943634118 1 7 8 0 1230 1023 0132 0132 0 1 1 0 0 0 0 0 0 0 0 0 0 -1 0 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 -1 0 0 1 -1 4 0 -3 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411239122637 1.652135254216 9 7 0 10 0132 0132 0132 0132 0 1 0 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 -1 1 1 0 -1 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.150948284633 0.382284485113 2 2 1 8 0213 1302 0132 3120 0 1 0 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 1 0 -1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.141871732011 0.569963500868 10 9 8 1 3120 3120 3120 0132 0 1 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 0 0 0 0 0 0 0 0 3 0 -3 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 0.106427909967 2.263018405150 3 4 8 2 1023 0132 0213 0132 0 0 1 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 0 0 0 0 0 0 0 -4 0 0 4 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.886581655095 1.147955018984 5 7 6 3 3120 0213 3120 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.886581655095 1.147955018984 4 6 11 12 0132 3120 0132 0132 0 1 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 -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 1.219846254871 1.115063386166 11 12 4 6 0132 0132 0132 3120 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.219846254871 1.115063386166 10 12 12 9 0132 0321 2103 0132 0 1 0 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 -1 1 0 0 0 0 0 0 3 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.858128267989 0.569963500868 11 10 9 11 2103 0132 0132 0321 0 1 0 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 -1 0 1 0 0 -1 1 -1 4 0 -3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.858128267989 0.569963500868 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : negation(d['c_1001_10']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_0011_8'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_1001_10'], 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0011_8'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0011_8'], 'c_1100_8' : negation(d['c_0101_6']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_10']), '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' : negation(d['1']), 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_3'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_8'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0101_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' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : negation(d['c_0011_0']), 'c_1100_9' : negation(d['c_0011_10']), 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0101_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_3, c_0011_5, c_0011_6, c_0011_8, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_0101_8, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 34961753/458227*c_1001_2^7 - 4821844/458227*c_1001_2^6 + 234243594/458227*c_1001_2^5 - 224461918/458227*c_1001_2^4 - 747131879/458227*c_1001_2^3 + 244173140/65461*c_1001_2^2 - 1171982044/458227*c_1001_2 + 152293338/458227, c_0011_0 - 1, c_0011_10 + 918/3787*c_1001_2^7 + 176/3787*c_1001_2^6 - 6109/3787*c_1001_2^5 + 5184/3787*c_1001_2^4 + 17943/3787*c_1001_2^3 - 6222/541*c_1001_2^2 + 34197/3787*c_1001_2 - 8012/3787, c_0011_3 + 411/3787*c_1001_2^7 - 639/3787*c_1001_2^6 - 3490/3787*c_1001_2^5 + 6999/3787*c_1001_2^4 + 9110/3787*c_1001_2^3 - 5130/541*c_1001_2^2 + 33540/3787*c_1001_2 - 6285/3787, c_0011_5 - 1, c_0011_6 + 1278/3787*c_1001_2^7 - 52/3787*c_1001_2^6 - 9470/3787*c_1001_2^5 + 8108/3787*c_1001_2^4 + 29212/3787*c_1001_2^3 - 9203/541*c_1001_2^2 + 42484/3787*c_1001_2 - 4174/3787, c_0011_8 + c_1001_2 - 1, c_0101_1 + 411/3787*c_1001_2^7 - 639/3787*c_1001_2^6 - 3490/3787*c_1001_2^5 + 6999/3787*c_1001_2^4 + 9110/3787*c_1001_2^3 - 5130/541*c_1001_2^2 + 29753/3787*c_1001_2 - 6285/3787, c_0101_10 + 1278/3787*c_1001_2^7 - 52/3787*c_1001_2^6 - 9470/3787*c_1001_2^5 + 8108/3787*c_1001_2^4 + 29212/3787*c_1001_2^3 - 9203/541*c_1001_2^2 + 42484/3787*c_1001_2 - 4174/3787, c_0101_3 - 1, c_0101_6 + 411/3787*c_1001_2^7 - 639/3787*c_1001_2^6 - 3490/3787*c_1001_2^5 + 6999/3787*c_1001_2^4 + 9110/3787*c_1001_2^3 - 5130/541*c_1001_2^2 + 33540/3787*c_1001_2 - 6285/3787, c_0101_8 + c_1001_2, c_1001_10 + 639/3787*c_1001_2^7 - 26/3787*c_1001_2^6 - 4735/3787*c_1001_2^5 + 4054/3787*c_1001_2^4 + 14606/3787*c_1001_2^3 - 4331/541*c_1001_2^2 + 21242/3787*c_1001_2 - 5874/3787, c_1001_2^8 - c_1001_2^7 - 7*c_1001_2^6 + 14*c_1001_2^5 + 15*c_1001_2^4 - 74*c_1001_2^3 + 86*c_1001_2^2 - 36*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.330 seconds, Total memory usage: 32.09MB