Magma V2.19-8 Tue Aug 20 2013 23:41:09 on localhost [Seed = 4038497397] Type ? for help. Type -D to quit. Loading file "L12a434__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a434 geometric_solution 9.84554914 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 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 -1 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.272625214235 0.475808738140 0 3 5 4 0132 1230 0132 2103 1 1 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 1 0 -1 0 0 17 -17 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.508982549955 1.011362265073 6 0 3 6 0132 0132 3012 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709776733219 1.029350272271 5 2 1 0 1023 1230 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 0.962813451770 0.629819815749 7 8 0 1 0132 0132 0132 2103 1 1 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 -1 0 -16 0 -1 17 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535632577612 0.830075308798 9 3 10 1 0132 1023 0132 0132 1 1 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 0 0 0 17 0 0 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451155234081 0.850550372766 2 2 6 6 0132 2310 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.837061133078 0.393297498133 4 10 10 9 0132 3012 3120 0132 0 1 1 1 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 2 -1 16 0 0 -16 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481359200649 0.883488226276 9 4 10 9 3012 0132 2310 2031 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 -1 1 0 1 0 -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 0.481359200649 0.883488226276 5 8 7 8 0132 1302 0132 1230 0 1 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 0 0 0 0 0 0 0 0 0 1 -1 -17 0 16 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 0.494160237231 0.841786361647 7 8 7 5 1230 3201 3120 0132 1 1 1 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 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494160237231 0.841786361647 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_10' : d['c_0101_3'], '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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_9' : negation(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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0011_0']), 'c_1100_10' : negation(d['c_0101_7']), 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_3']), 'c_1100_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(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' : negation(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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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' : negation(d['c_0011_4']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : negation(d['c_0101_10']), '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_1'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_6, c_0101_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1133300872/315707*c_0101_7^5 - 13241692325/631414*c_0101_7^4 - 14477885242/315707*c_0101_7^3 - 2241510913/45101*c_0101_7^2 - 10561885090/315707*c_0101_7 - 9135151611/631414, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 + c_0101_7, c_0011_4 + 30602/6443*c_0101_7^5 + 129670/6443*c_0101_7^4 + 187616/6443*c_0101_7^3 + 141404/6443*c_0101_7^2 + 86578/6443*c_0101_7 + 1680/6443, c_0101_0 + 1837/6443*c_0101_7^5 + 8752/6443*c_0101_7^4 + 11443/6443*c_0101_7^3 + 8618/6443*c_0101_7^2 + 5753/6443*c_0101_7 - 3563/6443, c_0101_1 - 30602/6443*c_0101_7^5 - 129670/6443*c_0101_7^4 - 187616/6443*c_0101_7^3 - 141404/6443*c_0101_7^2 - 80135/6443*c_0101_7 - 1680/6443, c_0101_10 - 1, c_0101_2 + 8052/6443*c_0101_7^5 + 32845/6443*c_0101_7^4 + 52858/6443*c_0101_7^3 + 51278/6443*c_0101_7^2 + 31544/6443*c_0101_7 + 5602/6443, c_0101_3 + 30602/6443*c_0101_7^5 + 129670/6443*c_0101_7^4 + 187616/6443*c_0101_7^3 + 141404/6443*c_0101_7^2 + 80135/6443*c_0101_7 + 1680/6443, c_0101_6 - 2376/6443*c_0101_7^5 - 1559/6443*c_0101_7^4 + 13132/6443*c_0101_7^3 + 18985/6443*c_0101_7^2 + 13084/6443*c_0101_7 + 8698/6443, c_0101_7^6 + 64/11*c_0101_7^5 + 139/11*c_0101_7^4 + 149/11*c_0101_7^3 + 9*c_0101_7^2 + 42/11*c_0101_7 - 1/11 ], 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_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_6, c_0101_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 184185344/576539*c_0101_7^7 + 1074421600/576539*c_0101_7^6 + 2798950080/576539*c_0101_7^5 + 8408634337/1153078*c_0101_7^4 + 3968994544/576539*c_0101_7^3 + 2480488259/576539*c_0101_7^2 + 1122529156/576539*c_0101_7 + 692849883/1153078, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 + c_0101_7, c_0011_4 - 401752/576539*c_0101_7^7 - 2512285/1153078*c_0101_7^6 - 961622/576539*c_0101_7^5 + 2025927/1153078*c_0101_7^4 + 5335429/1153078*c_0101_7^3 + 4478795/1153078*c_0101_7^2 + 1506007/576539*c_0101_7 + 486463/1153078, c_0101_0 - 1187064/576539*c_0101_7^7 - 11113385/1153078*c_0101_7^6 - 11500681/576539*c_0101_7^5 - 26411593/1153078*c_0101_7^4 - 18095493/1153078*c_0101_7^3 - 7473149/1153078*c_0101_7^2 - 1327928/576539*c_0101_7 - 80567/1153078, c_0101_1 - 401752/576539*c_0101_7^7 - 2512285/1153078*c_0101_7^6 - 961622/576539*c_0101_7^5 + 2025927/1153078*c_0101_7^4 + 5335429/1153078*c_0101_7^3 + 4478795/1153078*c_0101_7^2 + 929468/576539*c_0101_7 + 486463/1153078, c_0101_10 + 1, c_0101_2 - 1597104/576539*c_0101_7^7 - 7125853/576539*c_0101_7^6 - 14482468/576539*c_0101_7^5 - 16723872/576539*c_0101_7^4 - 12359089/576539*c_0101_7^3 - 6648383/576539*c_0101_7^2 - 2923478/576539*c_0101_7 + 133377/576539, c_0101_3 + 401752/576539*c_0101_7^7 + 2512285/1153078*c_0101_7^6 + 961622/576539*c_0101_7^5 - 2025927/1153078*c_0101_7^4 - 5335429/1153078*c_0101_7^3 - 4478795/1153078*c_0101_7^2 - 929468/576539*c_0101_7 - 486463/1153078, c_0101_6 - 1944704/576539*c_0101_7^7 - 7770360/576539*c_0101_7^6 - 14215744/576539*c_0101_7^5 - 14718775/576539*c_0101_7^4 - 10137908/576539*c_0101_7^3 - 5313295/576539*c_0101_7^2 - 2176764/576539*c_0101_7 + 500050/576539, c_0101_7^8 + 87/16*c_0101_7^7 + 53/4*c_0101_7^6 + 295/16*c_0101_7^5 + 253/16*c_0101_7^4 + 139/16*c_0101_7^3 + 27/8*c_0101_7^2 + 11/16*c_0101_7 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB