Magma V2.19-8 Tue Aug 20 2013 23:42:48 on localhost [Seed = 2227364300] Type ? for help. Type -D to quit. Loading file "L13n5891__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5891 geometric_solution 10.64793950 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 2 3 0132 0132 1302 0132 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 0 1 0 0 0 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 0.196378021258 0.885652151709 0 4 5 4 0132 0132 0132 1230 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.545832410968 1.134231604687 0 0 7 6 2031 0132 0132 0132 1 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 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 0.761371361007 1.076199700097 5 5 0 8 0321 0213 0132 0132 1 1 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 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 0.422789673793 1.177749913691 1 1 9 8 3012 0132 0132 2031 1 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 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 0.304249024566 0.759827138026 3 6 3 1 0321 1302 0213 0132 1 1 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 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 0.230809054206 1.003216004839 9 9 2 5 1302 3012 0132 2031 1 1 1 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 1 -1 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 0.471700564205 1.088649150372 10 9 8 2 0132 3201 3201 0132 1 1 1 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672491716023 0.877019481127 7 4 3 10 2310 1302 0132 1302 1 1 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 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 0.606453839421 0.484513872694 6 6 7 4 1230 2031 2310 0132 1 1 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 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 0.471700564205 1.088649150372 7 10 8 10 0132 1302 2031 2031 1 1 1 1 0 1 0 -1 0 0 1 -1 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 -1 0 1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467669254323 0.418465553631 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_7'], 'c_1001_5' : d['c_0110_6'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : negation(d['c_0011_9']), 'c_1001_3' : d['c_0110_6'], 'c_1001_2' : d['c_0110_6'], 'c_1001_9' : negation(d['c_0110_6']), 'c_1001_8' : d['c_0110_4'], 'c_1010_10' : d['c_0011_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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0011_8']), 'c_1100_6' : negation(d['c_0011_8']), 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : negation(d['c_0011_8']), 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : d['c_0110_6'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : negation(d['c_0011_9']), 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_0110_6'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : d['c_0101_10'], 's_3_1' : negation(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' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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_10' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0011_5']), 'c_0101_8' : negation(d['c_0011_5']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : negation(d['c_0101_7']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_9']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0110_6']})} 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_5, c_0011_6, c_0011_8, c_0011_9, c_0101_10, c_0101_7, c_0110_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 15127/30*c_0110_6 - 17711/6, c_0011_0 - 1, c_0011_10 + c_0110_6 - 1, c_0011_3 + 1, c_0011_5 - 1/3*c_0110_6 - 1/3, c_0011_6 - 1/3*c_0110_6 + 2/3, c_0011_8 + 1/3*c_0110_6 - 2/3, c_0011_9 - 1/3*c_0110_6 - 1/3, c_0101_10 - 2/3*c_0110_6 + 1/3, c_0101_7 - 2/3*c_0110_6 + 1/3, c_0110_4 + 2/3*c_0110_6 - 4/3, c_0110_6^2 + 5*c_0110_6 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB