Magma V2.19-8 Tue Aug 20 2013 23:53:54 on localhost [Seed = 324368518] Type ? for help. Type -D to quit. Loading file "L13n7625__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7625 geometric_solution 10.92102103 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 2 2 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 -1 0 1 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 -0.020261775435 0.788975007411 0 5 2 6 0132 0132 1023 0132 2 2 0 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 0 0 0 0 1 -9 8 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 0.516264273840 0.633315950749 7 0 1 8 0132 0132 1023 0132 2 2 0 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 9 -9 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.226706955364 0.948620395769 8 9 9 0 1023 0132 1023 0132 2 2 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 0 0 0.273952485238 0.860071424527 5 7 0 10 0132 0132 0132 0132 2 2 0 1 0 1 0 -1 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 -8 -1 9 0 0 0 0 0 0 0 0 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.020261775435 0.788975007411 4 1 11 7 0132 0132 0132 1023 2 2 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 -1 1 0 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.226706955364 0.948620395769 11 8 1 7 1023 1023 0132 0132 2 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 0 0 0 0 0 0 0 0 0 0 0 -8 8 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 0.399987268679 1.205413912663 2 4 6 5 0132 0132 0132 1023 2 2 1 0 0 -1 1 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 8 -8 0 0 0 0 0 1 -4 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516264273840 0.633315950749 6 3 2 11 1023 1023 0132 0132 2 2 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 1 -1 0 0 9 -9 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395156896684 0.578186944137 10 3 3 10 0132 0132 1023 1023 2 2 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.663768256996 1.055596608023 9 11 4 9 0132 1023 0132 1023 2 2 0 0 0 -1 1 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 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273952485238 0.860071424527 10 6 8 5 1023 1023 0132 0132 2 2 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 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395156896684 0.578186944137 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_0'], 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_0101_3'], 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : d['c_0101_10'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1100_1']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_1']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_1100_0']), 'c_1100_11' : negation(d['c_1100_1']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : d['c_0101_0'], 'c_1100_8' : negation(d['c_1100_1']), 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : 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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_9'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], '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_9'], 'c_0101_8' : d['c_0101_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_11'], '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_7'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_7']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_7, c_0101_9, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 23930587/81524960*c_1100_1^7 + 197408357/163049920*c_1100_1^6 + 360375887/163049920*c_1100_1^5 + 5830279/4076248*c_1100_1^4 - 221997793/163049920*c_1100_1^3 + 2421571/20381240*c_1100_1^2 + 23371633/8152496*c_1100_1 - 3884501/8152496, c_0011_0 - 1, c_0011_10 + 1565/8422*c_1100_1^7 + 12873/16844*c_1100_1^6 + 16187/8422*c_1100_1^5 + 37239/16844*c_1100_1^4 + 19069/16844*c_1100_1^3 - 2541/16844*c_1100_1^2 - 1716/4211*c_1100_1 + 6799/4211, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 1192/4211*c_1100_1^7 - 4854/4211*c_1100_1^6 - 11955/4211*c_1100_1^5 - 14023/4211*c_1100_1^4 - 7628/4211*c_1100_1^3 - 3246/4211*c_1100_1^2 - 1823/4211*c_1100_1 - 14821/4211, c_0101_11 - 1, c_0101_2 - 213/8422*c_1100_1^7 - 3275/16844*c_1100_1^6 - 6809/16844*c_1100_1^5 - 2749/4211*c_1100_1^4 - 6061/16844*c_1100_1^3 - 1530/4211*c_1100_1^2 - 5008/4211*c_1100_1 + 829/4211, c_0101_3 - 1192/4211*c_1100_1^7 - 4854/4211*c_1100_1^6 - 11955/4211*c_1100_1^5 - 14023/4211*c_1100_1^4 - 7628/4211*c_1100_1^3 - 3246/4211*c_1100_1^2 - 1823/4211*c_1100_1 - 14821/4211, c_0101_7 - 213/8422*c_1100_1^7 - 3275/16844*c_1100_1^6 - 6809/16844*c_1100_1^5 - 2749/4211*c_1100_1^4 - 6061/16844*c_1100_1^3 - 1530/4211*c_1100_1^2 - 797/4211*c_1100_1 + 829/4211, c_0101_9 - 3063/8422*c_1100_1^7 - 22897/16844*c_1100_1^6 - 54975/16844*c_1100_1^5 - 16104/4211*c_1100_1^4 - 39711/16844*c_1100_1^3 - 5573/4211*c_1100_1^2 - 726/4211*c_1100_1 - 16073/4211, c_1100_0 + 1192/4211*c_1100_1^7 + 4854/4211*c_1100_1^6 + 11955/4211*c_1100_1^5 + 14023/4211*c_1100_1^4 + 7628/4211*c_1100_1^3 + 3246/4211*c_1100_1^2 + 1823/4211*c_1100_1 + 19032/4211, c_1100_1^8 + 11/2*c_1100_1^7 + 31/2*c_1100_1^6 + 25*c_1100_1^5 + 41/2*c_1100_1^4 + 7*c_1100_1^3 + 10*c_1100_1 + 20 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB