Magma V2.19-8 Tue Aug 20 2013 16:18:05 on localhost [Seed = 1377029786] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2307 geometric_solution 5.70565596 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 0321 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.556164688230 0.251357681967 0 4 0 3 0132 0132 0321 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.158680018877 0.612926497362 5 0 4 5 0132 0132 3201 3201 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.181840114319 0.938288993712 1 5 0 6 3201 1230 0132 0132 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 -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 1.440742851352 2.550056619877 2 1 6 6 2310 0132 1302 0213 0 0 0 0 0 -1 1 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 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 1.395911357271 1.667985839200 2 2 3 6 0132 2310 3012 3201 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 -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 0.800930862489 1.027190185259 4 5 3 4 2031 2310 0132 0213 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 -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 -0.134713095987 0.567550115281 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(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' : 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' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : 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_1100_6' : d['c_1001_1'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0101_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_2, c_0101_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 6443680/591547*c_1001_1^11 - 15830282/591547*c_1001_1^10 - 14534855/591547*c_1001_1^9 + 3141947/591547*c_1001_1^8 + 124526964/591547*c_1001_1^7 - 60045019/591547*c_1001_1^6 - 138619177/591547*c_1001_1^5 + 166704931/591547*c_1001_1^4 - 100225970/591547*c_1001_1^3 + 37225413/591547*c_1001_1^2 + 35877800/591547*c_1001_1 - 33363402/591547, c_0011_0 - 1, c_0011_3 + 19097/107554*c_1001_1^11 - 61411/107554*c_1001_1^10 - 27199/107554*c_1001_1^9 + 35314/53777*c_1001_1^8 + 430531/107554*c_1001_1^7 - 194952/53777*c_1001_1^6 - 297005/53777*c_1001_1^5 + 335739/53777*c_1001_1^4 - 413007/107554*c_1001_1^3 + 276557/107554*c_1001_1^2 + 116858/53777*c_1001_1 - 256113/107554, c_0011_6 + 34573/107554*c_1001_1^11 - 83919/107554*c_1001_1^10 - 87527/107554*c_1001_1^9 + 15635/53777*c_1001_1^8 + 677225/107554*c_1001_1^7 - 149599/53777*c_1001_1^6 - 426125/53777*c_1001_1^5 + 488499/53777*c_1001_1^4 - 432515/107554*c_1001_1^3 - 99001/107554*c_1001_1^2 + 162563/53777*c_1001_1 - 222711/107554, c_0101_0 + 33191/107554*c_1001_1^11 - 42101/107554*c_1001_1^10 - 141963/107554*c_1001_1^9 - 62606/53777*c_1001_1^8 + 548517/107554*c_1001_1^7 + 200947/53777*c_1001_1^6 - 264550/53777*c_1001_1^5 + 72788/53777*c_1001_1^4 - 137411/107554*c_1001_1^3 - 38207/107554*c_1001_1^2 + 110174/53777*c_1001_1 - 38343/107554, c_0101_2 - 28264/53777*c_1001_1^11 + 62206/53777*c_1001_1^10 + 75165/53777*c_1001_1^9 + 4690/53777*c_1001_1^8 - 518161/53777*c_1001_1^7 + 166484/53777*c_1001_1^6 + 595457/53777*c_1001_1^5 - 710424/53777*c_1001_1^4 + 332395/53777*c_1001_1^3 - 8795/53777*c_1001_1^2 - 252814/53777*c_1001_1 + 134549/53777, c_0101_5 + 1, c_1001_1^12 - 3*c_1001_1^11 - c_1001_1^10 + 2*c_1001_1^9 + 19*c_1001_1^8 - 20*c_1001_1^7 - 18*c_1001_1^6 + 40*c_1001_1^5 - 29*c_1001_1^4 + 11*c_1001_1^3 + 6*c_1001_1^2 - 11*c_1001_1 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB