Magma V2.19-8 Tue Aug 20 2013 16:18:23 on localhost [Seed = 1174920040] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2587 geometric_solution 5.88092461 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 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 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 0.566934738587 0.286119884862 0 2 4 3 0132 0213 0132 0132 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 -1 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 0.388589189244 0.506379310073 5 4 1 0 0132 1023 0213 0132 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 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 0.388589189244 0.506379310073 5 6 1 5 2310 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.435049333998 1.670632515597 2 6 6 1 1023 1230 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616918446349 1.321225863349 2 3 3 6 0132 1302 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.435049333998 1.670632515597 4 3 4 5 2103 0132 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343732301520 0.487354135181 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), '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_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' : negation(d['1']), 's_0_6' : 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_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0110_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0110_6']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_0']})} 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_2, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 350941929221/43755950*c_0110_6^16 - 621892286891/131267850*c_0110_6^15 - 6569743951907/131267850*c_0110_6^14 - 1871232387023/65633925*c_0110_6^13 - 5754334867651/131267850*c_0110_6^12 + 6475728887927/26253570*c_0110_6^11 - 4434030763354/65633925*c_0110_6^10 - 1515911351302/13126785*c_0110_6^9 - 72532519819349/131267850*c_0110_6^8 + 5052376767301/6250850*c_0110_6^7 + 7436212320274/65633925*c_0110_6^6 - 86752632991/131267850*c_0110_6^5 - 86315158135043/65633925*c_0110_6^4 + 107336924243057/65633925*c_0110_6^3 - 37134276993147/43755950*c_0110_6^2 + 27323948953993/131267850*c_0110_6 - 1303295883251/65633925, c_0011_0 - 1, c_0011_2 + c_0110_6, c_0011_3 - 59449285/125017*c_0110_6^16 + 38155662/125017*c_0110_6^15 + 371274263/125017*c_0110_6^14 + 192349659/125017*c_0110_6^13 + 300947426/125017*c_0110_6^12 - 1860150344/125017*c_0110_6^11 + 574206409/125017*c_0110_6^10 + 883818890/125017*c_0110_6^9 + 4066485515/125017*c_0110_6^8 - 6223504038/125017*c_0110_6^7 - 692571750/125017*c_0110_6^6 + 166304804/125017*c_0110_6^5 + 9851986059/125017*c_0110_6^4 - 12560922447/125017*c_0110_6^3 + 6597055350/125017*c_0110_6^2 - 1623734371/125017*c_0110_6 + 153999648/125017, c_0101_0 - 28676440/125017*c_0110_6^16 + 21293623/125017*c_0110_6^15 + 178773710/125017*c_0110_6^14 + 74549776/125017*c_0110_6^13 + 126105250/125017*c_0110_6^12 - 921893331/125017*c_0110_6^11 + 354540485/125017*c_0110_6^10 + 440104570/125017*c_0110_6^9 + 1925539730/125017*c_0110_6^8 - 3219174757/125017*c_0110_6^7 - 147208432/125017*c_0110_6^6 + 215241114/125017*c_0110_6^5 + 4815873955/125017*c_0110_6^4 - 6505275073/125017*c_0110_6^3 + 3553431602/125017*c_0110_6^2 - 903509052/125017*c_0110_6 + 88125725/125017, c_0101_1 - 160587321/125017*c_0110_6^16 + 83794969/125017*c_0110_6^15 + 1003792258/125017*c_0110_6^14 + 640592139/125017*c_0110_6^13 + 947430152/125017*c_0110_6^12 - 4847734637/125017*c_0110_6^11 + 1052348623/125017*c_0110_6^10 + 2274859870/125017*c_0110_6^9 + 11206243669/125017*c_0110_6^8 - 15359195317/125017*c_0110_6^7 - 3023875244/125017*c_0110_6^6 - 470982657/125017*c_0110_6^5 + 26121146524/125017*c_0110_6^4 - 31022656231/125017*c_0110_6^3 + 15486195324/125017*c_0110_6^2 - 3652107151/125017*c_0110_6 + 334310238/125017, c_0101_4 + 11626734/125017*c_0110_6^16 - 15193329/125017*c_0110_6^15 - 71831813/125017*c_0110_6^14 + 10957590/125017*c_0110_6^13 - 7610300/125017*c_0110_6^12 + 431441179/125017*c_0110_6^11 - 316407306/125017*c_0110_6^10 - 206938420/125017*c_0110_6^9 - 701462431/125017*c_0110_6^8 + 1794951094/125017*c_0110_6^7 - 360592697/125017*c_0110_6^6 - 381008885/125017*c_0110_6^5 - 2097417611/125017*c_0110_6^4 + 3637963253/125017*c_0110_6^3 - 2290864373/125017*c_0110_6^2 + 650972642/125017*c_0110_6 - 69840712/125017, c_0110_6^17 - c_0110_6^16 - 6*c_0110_6^15 - c_0110_6^14 - 4*c_0110_6^13 + 33*c_0110_6^12 - 21*c_0110_6^11 - 11*c_0110_6^10 - 63*c_0110_6^9 + 129*c_0110_6^8 - 27*c_0110_6^7 - 6*c_0110_6^6 - 164*c_0110_6^5 + 271*c_0110_6^4 - 189*c_0110_6^3 + 69*c_0110_6^2 - 13*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB