Magma V2.19-8 Wed Aug 21 2013 00:01:10 on localhost [Seed = 1814693369] Type ? for help. Type -D to quit. Loading file "L14n51504__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n51504 geometric_solution 11.75183617 oriented_manifold CS_known 0.0000000000000004 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 0 1 2 1 0 1 0 -1 0 0 0 0 0 -1 0 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 -1 0 1 0 0 -1 0 1 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.153051398846 0.709398262695 0 5 7 6 0132 0132 0132 0132 1 1 1 2 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 1 0 -1 0 9 0 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362449661541 1.056346863849 8 0 10 9 0132 0132 0132 0132 0 1 1 2 0 -1 2 -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 0 1 -1 0 0 0 0 8 0 0 -8 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709398262695 1.346948601154 7 11 8 0 1302 0132 0132 0132 0 1 1 2 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709398262695 1.346948601154 11 5 0 6 0132 1302 0132 2103 0 1 1 2 0 1 1 -2 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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362449661541 1.056346863849 8 1 9 4 1023 0132 2031 2031 1 0 2 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 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 0.362449661541 1.056346863849 8 10 1 4 2103 3201 0132 2103 1 1 0 1 0 0 0 0 0 0 0 0 0 -2 0 2 -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 -8 -1 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418796525390 0.693897202308 10 3 9 1 0321 2031 3201 0132 1 1 2 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 -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 0.362449661541 1.056346863849 2 5 6 3 0132 1023 2103 0132 0 1 2 1 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 0 0 0 0 0 0 0 1 -1 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.153051398846 0.709398262695 7 11 2 5 2310 0213 0132 1302 0 1 1 1 0 0 1 -1 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 1 -1 0 0 0 0 1 0 0 -1 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418796525390 0.693897202308 7 11 6 2 0321 0321 2310 0132 0 1 2 1 0 0 2 -2 0 0 0 0 0 0 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 -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 0.418796525390 0.693897202308 4 3 9 10 0132 0132 0213 0321 0 1 2 1 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 0 0 0 0 1 -9 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418796525390 0.693897202308 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_6'], 'c_1010_11' : d['c_0110_5'], 'c_1010_10' : d['c_0110_5'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], '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' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : negation(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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0110_6']), 'c_1100_5' : negation(d['c_1001_10']), 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_9']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_10'], 'c_1100_10' : d['c_0011_6'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_1001_10']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : d['c_0110_5'], 's_3_1' : negation(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' : negation(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' : negation(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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_7']), 'c_0110_0' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_9'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0110_6']})} 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_0011_11, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_0110_5, c_0110_6, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 25/32*c_1001_10^3 - 165/64*c_1001_10^2 - 155/32*c_1001_10 - 113/64, c_0011_0 - 1, c_0011_10 - c_1001_10^2 - 2*c_1001_10 - 2, c_0011_11 + c_1001_10^2 + 2*c_1001_10 + 2, c_0011_6 + c_1001_10^2 + 2*c_1001_10 + 2, c_0011_7 + 1, c_0011_9 + 1/2*c_1001_10^3 + 3/2*c_1001_10^2 + 2*c_1001_10, c_0101_0 - 1, c_0101_10 - 1/2*c_1001_10^3 - 3/2*c_1001_10^2 - 3*c_1001_10 - 2, c_0110_5 + c_1001_10^2 + 2*c_1001_10 + 1, c_0110_6 + 1, c_1001_0 - 1, c_1001_10^4 + 4*c_1001_10^3 + 9*c_1001_10^2 + 8*c_1001_10 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.230 seconds, Total memory usage: 32.09MB