Magma V2.19-8 Tue Aug 20 2013 23:39:46 on localhost [Seed = 3465063028] Type ? for help. Type -D to quit. Loading file "K14n16887__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n16887 geometric_solution 9.94034282 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 1 2 1 3 0132 0132 3012 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 1 -1 0 0 1 -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 0.667066925403 1.040448301872 0 0 5 4 0132 1230 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 -1 0 1 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278983964340 0.871852075069 6 0 8 7 0132 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 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 0.313597650491 0.650204893921 4 9 0 8 0213 0132 0132 2310 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 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 0.661621765992 0.551894796554 3 5 1 7 0213 3012 0132 1230 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 -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 -0.496178909877 0.579029181574 4 9 10 1 1230 1023 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 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 0.437255558687 0.709026469909 2 7 8 10 0132 2103 1023 0321 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.613622460743 0.576456168305 4 6 2 10 3012 2103 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.512623645269 1.078614959115 3 9 6 2 3201 0321 1023 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 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 0.085995112450 1.259372542709 5 3 10 8 1023 0132 2103 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 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 0.896840200068 0.569646669265 9 6 7 5 2103 0321 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383104741941 1.037007531945 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_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_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' : negation(d['c_0101_5']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0110_7'], 'c_1100_4' : d['c_0110_7'], 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_0110_7'], 'c_1100_0' : d['c_0011_8'], 'c_1100_3' : d['c_0011_8'], 'c_1100_2' : negation(d['c_1001_10']), 'c_1100_10' : d['c_0110_7'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0011_10'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_1001_10']), '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_10' : d['c_0101_5'], 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_7'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : negation(d['c_0011_7']), 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_7'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(d['c_0011_10'])})} 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_3, c_0011_4, c_0011_7, c_0011_8, c_0101_10, c_0101_5, c_0110_7, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 438077/148044141*c_1001_10*c_1001_2^2 + 205298/16449349*c_1001_10*c_1001_2 - 913652/148044141*c_1001_10 - 2212976/148044141*c_1001_2^2 + 110105/16449349*c_1001_2 + 158678/148044141, c_0011_0 - 1, c_0011_10 + c_1001_10 + 1, c_0011_3 - c_1001_10*c_1001_2^2 - c_1001_10 - c_1001_2^2 - 2, c_0011_4 - c_1001_10*c_1001_2^2 - c_1001_10 - 1, c_0011_7 + c_1001_10 + 3*c_1001_2^2 - 3*c_1001_2 + 6, c_0011_8 + c_1001_10*c_1001_2 - c_1001_2^2, c_0101_10 + c_1001_10 - c_1001_2^2 + c_1001_2 - 2, c_0101_5 + c_1001_2^2 - c_1001_2 + 2, c_0110_7 - 3*c_1001_2^2 + 3*c_1001_2 - 6, c_1001_10^2 + 2*c_1001_10*c_1001_2^2 - 2*c_1001_10*c_1001_2 + 4*c_1001_10 + 5*c_1001_2^2 - 4*c_1001_2 + 9, c_1001_2^3 - c_1001_2^2 + 2*c_1001_2 - 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_7, c_0011_8, c_0101_10, c_0101_5, c_0110_7, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 9/5*c_1001_10*c_1001_2^2 + 2/5*c_1001_10*c_1001_2 + 4/5*c_1001_10 - 4/5*c_1001_2^2 - 13/5*c_1001_2 - 6/5, c_0011_0 - 1, c_0011_10 + c_1001_10 - 1, c_0011_3 - c_1001_10*c_1001_2^2 - c_1001_10 + c_1001_2^2 + 2, c_0011_4 + c_1001_10*c_1001_2^2 + c_1001_10 - 1, c_0011_7 - c_1001_10 + c_1001_2^2 + c_1001_2 + 2, c_0011_8 + c_1001_10*c_1001_2 - c_1001_2^2, c_0101_10 - c_1001_10 + c_1001_2^2 + c_1001_2 + 2, c_0101_5 + c_1001_2^2 + c_1001_2 + 2, c_0110_7 + c_1001_2^2 + c_1001_2 + 2, c_1001_10^2 - 2*c_1001_10*c_1001_2^2 - 2*c_1001_10*c_1001_2 - 4*c_1001_10 + 3*c_1001_2^2 + 2*c_1001_2 + 5, c_1001_2^3 + c_1001_2^2 + 2*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.400 Total time: 0.620 seconds, Total memory usage: 32.09MB