Magma V2.19-8 Tue Aug 20 2013 16:17:40 on localhost [Seed = 2328565355] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1897 geometric_solution 5.51172803 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 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 -1.896656118609 1.072351193561 0 3 1 1 0132 2031 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.108596669949 0.180498242592 3 0 4 5 2031 0132 2031 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 -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 0.320905068496 1.810060409657 1 5 2 0 1302 2310 1302 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 0.719337245648 0.795658925850 6 6 0 2 0132 2310 0132 1302 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 0 1 -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 -0.031241816011 0.826632336422 6 6 2 3 2031 3120 0132 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 -1 0 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 0.344841881777 0.630864758773 4 5 5 4 0132 3120 1302 3201 0 0 0 0 0 0 -1 1 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 -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 0.791997455660 0.762630073438 ==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' : negation(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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : negation(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' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0011_5']})} 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_4, c_0011_5, c_0101_0, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 5479063/15148393*c_0110_5^5 - 5022827/15148393*c_0110_5^4 - 157268159/15148393*c_0110_5^3 + 210703082/15148393*c_0110_5^2 - 187624623/15148393*c_0110_5 + 69984477/15148393, c_0011_0 - 1, c_0011_3 + 1001/28421*c_0110_5^5 + 2621/28421*c_0110_5^4 + 31800/28421*c_0110_5^3 + 10571/28421*c_0110_5^2 + 8274/28421*c_0110_5 + 12933/28421, c_0011_4 + 270/28421*c_0110_5^5 + 565/28421*c_0110_5^4 + 7896/28421*c_0110_5^3 + 2539/28421*c_0110_5^2 + 2033/28421*c_0110_5 - 9487/28421, c_0011_5 - 1001/28421*c_0110_5^5 - 2621/28421*c_0110_5^4 - 31800/28421*c_0110_5^3 - 10571/28421*c_0110_5^2 - 36695/28421*c_0110_5 - 12933/28421, c_0101_0 + 1271/28421*c_0110_5^5 + 3186/28421*c_0110_5^4 + 39696/28421*c_0110_5^3 + 13110/28421*c_0110_5^2 + 10307/28421*c_0110_5 + 31867/28421, c_0101_2 - 1533/28421*c_0110_5^5 - 1629/28421*c_0110_5^4 - 42937/28421*c_0110_5^3 + 51584/28421*c_0110_5^2 - 26385/28421*c_0110_5 + 10602/28421, c_0110_5^6 + 2*c_0110_5^5 + 31*c_0110_5^4 - 5*c_0110_5^3 + 32*c_0110_5^2 + 9*c_0110_5 + 13 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 32445466685/7605569*c_0110_5^11 - 23201941942/7605569*c_0110_5^10 - 2973194371/7605569*c_0110_5^9 - 80335983821/15211138*c_0110_5^8 - 17949392873/7605569*c_0110_5^7 - 8106020139/7605569*c_0110_5^6 - 45782044085/15211138*c_0110_5^5 + 1214229987/15211138*c_0110_5^4 - 10086470001/7605569*c_0110_5^3 - 695313465/15211138*c_0110_5^2 - 1427148732/7605569*c_0110_5 - 344809427/15211138, c_0011_0 - 1, c_0011_3 - 299279458/7605569*c_0110_5^11 - 1655001570/7605569*c_0110_5^10 - 1076760762/7605569*c_0110_5^9 - 623491835/7605569*c_0110_5^8 - 1982393845/7605569*c_0110_5^7 - 811358852/7605569*c_0110_5^6 - 658067639/7605569*c_0110_5^5 - 1015326062/7605569*c_0110_5^4 - 28019899/7605569*c_0110_5^3 - 485486657/7605569*c_0110_5^2 + 2999262/7605569*c_0110_5 - 77046521/7605569, c_0011_4 - 3086216916/7605569*c_0110_5^11 - 2575839406/7605569*c_0110_5^10 - 520435194/7605569*c_0110_5^9 - 3698324504/7605569*c_0110_5^8 - 2020056079/7605569*c_0110_5^7 - 919663201/7605569*c_0110_5^6 - 2135386140/7605569*c_0110_5^5 - 106924342/7605569*c_0110_5^4 - 909934845/7605569*c_0110_5^3 - 86239803/7605569*c_0110_5^2 - 132166391/7605569*c_0110_5 - 14965461/7605569, c_0011_5 + c_0110_5, c_0101_0 + 586219268/7605569*c_0110_5^11 + 1654263610/7605569*c_0110_5^10 + 899736960/7605569*c_0110_5^9 + 923010968/7605569*c_0110_5^8 + 1894816947/7605569*c_0110_5^7 + 728691074/7605569*c_0110_5^6 + 802966140/7605569*c_0110_5^5 + 886610442/7605569*c_0110_5^4 + 112016609/7605569*c_0110_5^3 + 439973713/7605569*c_0110_5^2 + 8401550/7605569*c_0110_5 + 75765641/7605569, c_0101_2 + 2615225638/7605569*c_0110_5^11 + 1593579354/7605569*c_0110_5^10 + 290051908/7605569*c_0110_5^9 + 3314799439/7605569*c_0110_5^8 + 977638573/7605569*c_0110_5^7 + 719129441/7605569*c_0110_5^6 + 1830139310/7605569*c_0110_5^5 - 302712855/7605569*c_0110_5^4 + 925460370/7605569*c_0110_5^3 - 114259702/7605569*c_0110_5^2 + 152812162/7605569*c_0110_5 - 11966199/7605569, c_0110_5^12 + 29/37*c_0110_5^11 + 16/37*c_0110_5^10 + 105/74*c_0110_5^9 + 47/74*c_0110_5^8 + 47/74*c_0110_5^7 + 31/37*c_0110_5^6 + 3/37*c_0110_5^5 + 1/2*c_0110_5^4 + 5/37*c_0110_5^2 + 1/74 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB