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Loading file "L13n6356__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6356 geometric_solution 11.20000535 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -1 -6 7 -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 0.733997806227 0.781288316291 0 5 7 6 0132 0132 0132 0132 0 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 1 0 -7 6 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674117029613 0.634206501618 8 0 9 3 0132 0132 0132 1230 1 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 1 0 -1 0 0 1 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.699583672188 0.419463515838 2 10 11 0 3012 0132 0132 0132 1 1 0 0 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 -6 6 1 0 0 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336402460230 1.336546200352 6 7 0 9 0132 3120 0132 3012 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 -7 7 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 0.383484474442 0.886444307275 8 1 8 6 3201 0132 2310 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.893420893165 0.543281741000 4 5 1 11 0132 1302 0132 2031 0 1 0 0 0 1 0 -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 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.213079173257 0.740331845445 11 4 9 1 2031 3120 2310 0132 0 1 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 0 0 0 0 0 -7 7 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588908182646 0.950260116243 2 5 10 5 0132 3201 1302 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.046147348874 0.549467621269 10 7 4 2 3120 3201 1230 0132 1 0 0 1 0 0 0 0 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 0 0 0 0 0 1 -1 1 0 0 -1 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.872380653340 0.783159782935 8 3 11 9 2031 0132 1302 3120 1 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.051425332131 0.630424328055 10 6 7 3 2031 1302 1302 0132 1 1 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 -6 0 6 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 0.733997806227 0.781288316291 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : d['c_0101_3'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_1001_2']), 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_9']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : d['c_0101_2'], 'c_1010_11' : negation(d['c_0011_9']), 'c_1010_10' : negation(d['c_0011_9']), 's_3_11' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : d['c_0011_0'], '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(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' : negation(d['c_0011_0']), 'c_1100_8' : d['c_0011_0'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0101_0'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_0'], 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : negation(d['c_0011_7']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0110_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0110_5']), '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_2'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_2']), '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_0011_7'], 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_2'], '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_0110_5'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} 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_4, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_7, c_0110_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 3752781/1940120*c_1001_2^9 + 2409741/242515*c_1001_2^8 - 564959/55965*c_1001_2^7 - 27948727/831480*c_1001_2^6 + 525501/69290*c_1001_2^5 + 276550847/5820360*c_1001_2^4 - 2907965/582036*c_1001_2^3 - 60040117/1940120*c_1001_2^2 - 4738459/1940120*c_1001_2 + 38869321/5820360, c_0011_0 - 1, c_0011_10 + 53/28*c_1001_2^9 + 285/28*c_1001_2^8 - 209/28*c_1001_2^7 - 35*c_1001_2^6 - 3/2*c_1001_2^5 + 1339/28*c_1001_2^4 + 241/28*c_1001_2^3 - 429/14*c_1001_2^2 - 327/28*c_1001_2 + 69/14, c_0011_4 + 199/140*c_1001_2^9 + 1087/140*c_1001_2^8 - 743/140*c_1001_2^7 - 283/10*c_1001_2^6 - 1/5*c_1001_2^5 + 5661/140*c_1001_2^4 + 117/28*c_1001_2^3 - 1979/70*c_1001_2^2 - 821/140*c_1001_2 + 172/35, c_0011_7 - c_1001_2, c_0011_9 - 1, c_0101_0 - 1, c_0101_1 - 107/70*c_1001_2^9 - 601/70*c_1001_2^8 + 152/35*c_1001_2^7 + 154/5*c_1001_2^6 + 47/10*c_1001_2^5 - 1439/35*c_1001_2^4 - 67/7*c_1001_2^3 + 1002/35*c_1001_2^2 + 304/35*c_1001_2 - 349/70, c_0101_2 + 191/140*c_1001_2^9 + 1063/140*c_1001_2^8 - 577/140*c_1001_2^7 - 267/10*c_1001_2^6 - 43/10*c_1001_2^5 + 4999/140*c_1001_2^4 + 239/28*c_1001_2^3 - 1611/70*c_1001_2^2 - 1119/140*c_1001_2 + 241/70, c_0101_3 - 33/35*c_1001_2^9 - 169/35*c_1001_2^8 + 337/70*c_1001_2^7 + 77/5*c_1001_2^6 - 29/10*c_1001_2^5 - 1419/70*c_1001_2^4 + 37/14*c_1001_2^3 + 411/35*c_1001_2^2 + 79/70*c_1001_2 - 107/70, c_0101_7 - 31/70*c_1001_2^9 - 163/70*c_1001_2^8 + 81/35*c_1001_2^7 + 47/5*c_1001_2^6 - 19/10*c_1001_2^5 - 482/35*c_1001_2^4 + 1/7*c_1001_2^3 + 341/35*c_1001_2^2 + 22/35*c_1001_2 - 107/70, c_0110_5 - 207/140*c_1001_2^9 - 1111/140*c_1001_2^8 + 839/140*c_1001_2^7 + 137/5*c_1001_2^6 - 9/10*c_1001_2^5 - 5133/140*c_1001_2^4 - 79/28*c_1001_2^3 + 1647/70*c_1001_2^2 + 733/140*c_1001_2 - 237/70, c_1001_2^10 + 5*c_1001_2^9 - 6*c_1001_2^8 - 17*c_1001_2^7 + 7*c_1001_2^6 + 25*c_1001_2^5 - 7*c_1001_2^4 - 17*c_1001_2^3 + 2*c_1001_2^2 + 4*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB