Magma V2.19-8 Tue Aug 20 2013 23:42:26 on localhost [Seed = 2834222531] Type ? for help. Type -D to quit. Loading file "L13n3069__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3069 geometric_solution 10.10265286 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 1 3 0132 0132 3120 0132 1 0 1 1 0 0 0 0 0 0 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 -1 0 1 -1 0 0 1 0 0 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.288212865032 1.270363927362 0 4 0 5 0132 0132 3120 0132 1 0 1 1 0 1 -1 0 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 -7 7 0 1 0 0 -1 -7 -1 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.288212865032 1.270363927362 6 0 8 7 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 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 0.561651229241 1.669458422811 5 6 0 5 0132 2310 0132 2103 1 0 1 1 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 0 0 0 -1 1 1 0 -1 0 -8 8 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.830152415647 0.748641960473 6 1 9 8 1023 0132 0132 3201 1 1 1 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 7 -7 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 0.298535832576 0.494331903410 3 8 1 3 0132 1023 0132 2103 1 0 1 1 0 0 0 0 1 0 -1 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 -1 0 1 0 1 0 0 -1 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.830152415647 0.748641960473 2 4 10 3 0132 1023 0132 3201 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 0 1 -1 0 0 8 -8 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.147134374296 0.560363657524 10 9 2 10 1302 3012 0132 3120 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 1 0 0 -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 -0.116402548659 0.714926955837 5 4 9 2 1023 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.952537911911 0.671267187880 7 8 10 4 1230 1230 1023 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 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586627653167 0.955829802792 7 7 9 6 3120 2031 1023 0132 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 1 0 7 -8 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.221858549659 1.362621861470 ==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_8'], 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : negation(d['c_0011_9']), 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_0011_9'], 'c_1001_0' : negation(d['c_0011_9']), 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0110_4']), 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_10' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0011_3']), 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_9'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0011_9']), 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0110_4']), 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : negation(d['c_0110_4']), 'c_1100_8' : negation(d['c_0101_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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_7'], 'c_0101_3' : d['c_0101_1'], '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_0011_10'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_10']), '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_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_8, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 199775/15408*c_0110_4^9 + 149345/3852*c_0110_4^8 + 1088977/15408*c_0110_4^7 - 170005/5136*c_0110_4^6 - 157373/1926*c_0110_4^5 - 822931/15408*c_0110_4^4 - 346889/15408*c_0110_4^3 + 815293/5136*c_0110_4^2 + 565705/15408*c_0110_4 - 324841/3852, c_0011_0 - 1, c_0011_10 + 36/107*c_0110_4^9 + 101/107*c_0110_4^8 + 349/214*c_0110_4^7 - 315/214*c_0110_4^6 - 585/214*c_0110_4^5 - 463/214*c_0110_4^4 + 30/107*c_0110_4^3 + 545/107*c_0110_4^2 + 59/214*c_0110_4 - 271/107, c_0011_3 - 71/214*c_0110_4^9 - 110/107*c_0110_4^8 - 207/107*c_0110_4^7 + 55/107*c_0110_4^6 + 403/214*c_0110_4^5 + 125/107*c_0110_4^4 + 137/214*c_0110_4^3 - 953/214*c_0110_4^2 - 119/107*c_0110_4 + 239/107, c_0011_7 - 129/214*c_0110_4^9 - 353/214*c_0110_4^8 - 603/214*c_0110_4^7 + 551/214*c_0110_4^6 + 397/107*c_0110_4^5 + 203/107*c_0110_4^4 - 161/214*c_0110_4^3 - 758/107*c_0110_4^2 - 64/107*c_0110_4 + 383/107, c_0011_9 + 71/214*c_0110_4^9 + 110/107*c_0110_4^8 + 207/107*c_0110_4^7 - 55/107*c_0110_4^6 - 403/214*c_0110_4^5 - 125/107*c_0110_4^4 - 137/214*c_0110_4^3 + 953/214*c_0110_4^2 + 119/107*c_0110_4 - 239/107, c_0101_0 - 1, c_0101_1 - 239/428*c_0110_4^9 - 155/107*c_0110_4^8 - 1157/428*c_0110_4^7 + 845/428*c_0110_4^6 + 349/214*c_0110_4^5 + 1045/428*c_0110_4^4 - 217/428*c_0110_4^3 - 2355/428*c_0110_4^2 - 233/428*c_0110_4 + 479/214, c_0101_10 - 129/214*c_0110_4^9 - 353/214*c_0110_4^8 - 603/214*c_0110_4^7 + 551/214*c_0110_4^6 + 397/107*c_0110_4^5 + 203/107*c_0110_4^4 - 161/214*c_0110_4^3 - 758/107*c_0110_4^2 - 64/107*c_0110_4 + 383/107, c_0101_2 - 1, c_0101_8 + 173/214*c_0110_4^9 + 417/214*c_0110_4^8 + 739/214*c_0110_4^7 - 797/214*c_0110_4^6 - 228/107*c_0110_4^5 - 288/107*c_0110_4^4 + 269/214*c_0110_4^3 + 883/107*c_0110_4^2 - 22/107*c_0110_4 - 400/107, c_0110_4^10 + 2*c_0110_4^9 + 3*c_0110_4^8 - 7*c_0110_4^7 - 2*c_0110_4^6 - c_0110_4^5 + 3*c_0110_4^4 + 11*c_0110_4^3 - 7*c_0110_4^2 - 6*c_0110_4 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB