Magma V2.19-8 Tue Aug 20 2013 16:18:20 on localhost [Seed = 2261195689] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2550 geometric_solution 5.85921399 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3201 0132 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 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 0.576808645204 0.481938107340 0 4 4 5 0132 0132 1230 0132 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 -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 0.780648708911 1.064792392317 0 0 2 2 2310 0132 2031 1302 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 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 1.566304396473 1.158244925608 4 5 0 5 2031 3012 0132 2031 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 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 0.268976495934 0.669986691336 6 1 3 1 0132 0132 1302 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 -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 0.739275139432 0.534247381805 3 3 1 6 1230 1302 0132 0213 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 1 -1 0 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442136507661 0.219536397207 4 6 6 5 0132 3201 2310 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.669256100625 0.422627997555 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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' : 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' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(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_1001_5' : d['c_0110_3'], 'c_1001_4' : d['c_0110_3'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0110_3'], 'c_1010_0' : negation(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_5, c_0101_1, c_0101_2, c_0101_6, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 2035/41*c_0110_3^14 + 7423/41*c_0110_3^13 + 9580/41*c_0110_3^12 - 41218/41*c_0110_3^11 - 33264/41*c_0110_3^10 + 88821/41*c_0110_3^9 + 76372/41*c_0110_3^8 - 99642/41*c_0110_3^7 - 103132/41*c_0110_3^6 + 56614/41*c_0110_3^5 + 76494/41*c_0110_3^4 - 12173/41*c_0110_3^3 - 24495/41*c_0110_3^2 - 1560/41*c_0110_3 + 3912/41, c_0011_0 - 1, c_0011_3 - 141/164*c_0110_3^14 + 253/82*c_0110_3^13 + 160/41*c_0110_3^12 - 2633/164*c_0110_3^11 - 1091/82*c_0110_3^10 + 5025/164*c_0110_3^9 + 4597/164*c_0110_3^8 - 4717/164*c_0110_3^7 - 5285/164*c_0110_3^6 + 939/82*c_0110_3^5 + 2991/164*c_0110_3^4 - 95/164*c_0110_3^3 - 145/82*c_0110_3^2 - 55/164*c_0110_3 - 43/82, c_0011_5 + 39/82*c_0110_3^14 - 375/164*c_0110_3^13 - 10/41*c_0110_3^12 + 983/82*c_0110_3^11 - 371/164*c_0110_3^10 - 2339/82*c_0110_3^9 + 33/164*c_0110_3^8 + 6391/164*c_0110_3^7 + 1445/164*c_0110_3^6 - 4817/164*c_0110_3^5 - 1089/82*c_0110_3^4 + 1587/164*c_0110_3^3 + 997/164*c_0110_3^2 + 85/82*c_0110_3 - 133/164, c_0101_1 + 61/164*c_0110_3^14 - 175/164*c_0110_3^13 - 114/41*c_0110_3^12 + 953/164*c_0110_3^11 + 2101/164*c_0110_3^10 - 1661/164*c_0110_3^9 - 1261/41*c_0110_3^8 + 160/41*c_0110_3^7 + 3255/82*c_0110_3^6 + 1535/164*c_0110_3^5 - 4403/164*c_0110_3^4 - 995/82*c_0110_3^3 + 1165/164*c_0110_3^2 + 667/164*c_0110_3 - 73/164, c_0101_2 - 159/164*c_0110_3^14 + 171/41*c_0110_3^13 + 115/41*c_0110_3^12 - 3995/164*c_0110_3^11 - 271/41*c_0110_3^10 + 10255/164*c_0110_3^9 + 3741/164*c_0110_3^8 - 14805/164*c_0110_3^7 - 7741/164*c_0110_3^6 + 3030/41*c_0110_3^5 + 8401/164*c_0110_3^4 - 4987/164*c_0110_3^3 - 1047/41*c_0110_3^2 + 423/164*c_0110_3 + 162/41, c_0101_6 - 2/41*c_0110_3^14 + 29/164*c_0110_3^13 + 21/41*c_0110_3^12 - 83/41*c_0110_3^11 - 291/164*c_0110_3^10 + 285/41*c_0110_3^9 + 763/164*c_0110_3^8 - 1691/164*c_0110_3^7 - 1169/164*c_0110_3^6 + 1231/164*c_0110_3^5 + 223/41*c_0110_3^4 - 311/164*c_0110_3^3 - 15/164*c_0110_3^2 + 3/41*c_0110_3 - 225/164, c_0110_3^15 - 3*c_0110_3^14 - 7*c_0110_3^13 + 17*c_0110_3^12 + 29*c_0110_3^11 - 32*c_0110_3^10 - 64*c_0110_3^9 + 23*c_0110_3^8 + 79*c_0110_3^7 + 6*c_0110_3^6 - 52*c_0110_3^5 - 18*c_0110_3^4 + 14*c_0110_3^3 + 8*c_0110_3^2 - c_0110_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB