Magma V2.19-8 Tue Aug 20 2013 16:17:59 on localhost [Seed = 4071845428] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2217 geometric_solution 5.66193313 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3201 0 0 0 0 0 0 1 -1 -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 1 0 -1 -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 -0.239953875032 0.695134208622 0 0 4 4 0132 2310 2310 0132 0 0 0 0 0 0 0 0 1 0 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 0 0 1 0 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 1.443710364254 1.285406426015 3 0 5 5 2310 0132 1302 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 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 0 0 0 1.503517416714 1.677027002933 6 4 2 0 0132 1302 3201 0132 0 0 0 0 0 1 0 -1 0 0 1 -1 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 1 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.260848397176 0.335180357074 5 1 1 3 1230 3201 0132 2031 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 1 0 -1 -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 0.518824417986 0.417483632760 2 4 2 6 2031 3012 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621353480280 0.729005331881 3 6 5 6 0132 2310 1230 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.140265452446 1.801611507653 ==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' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0101_1'], '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_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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_3'], '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_0101_3']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_3']})} 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_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 324507/77495*c_0101_3^8 + 690703/77495*c_0101_3^7 + 2419157/77495*c_0101_3^6 - 7207692/77495*c_0101_3^5 + 2889989/77495*c_0101_3^4 + 4666086/77495*c_0101_3^3 - 6423129/77495*c_0101_3^2 + 2031472/15499*c_0101_3 - 7531589/77495, c_0011_0 - 1, c_0011_3 - 277/1409*c_0101_3^8 - 256/1409*c_0101_3^7 + 1993/1409*c_0101_3^6 + 122/1409*c_0101_3^5 - 1965/1409*c_0101_3^4 + 1062/1409*c_0101_3^3 - 1410/1409*c_0101_3^2 + 149/1409*c_0101_3 + 596/1409, c_0011_4 + 754/1409*c_0101_3^8 + 178/1409*c_0101_3^7 - 5954/1409*c_0101_3^6 + 2491/1409*c_0101_3^5 + 5186/1409*c_0101_3^4 - 1553/1409*c_0101_3^3 + 6066/1409*c_0101_3^2 - 4892/1409*c_0101_3 - 1251/1409, c_0011_5 - 301/1409*c_0101_3^8 - 385/1409*c_0101_3^7 + 1891/1409*c_0101_3^6 + 921/1409*c_0101_3^5 - 594/1409*c_0101_3^4 - 21/1409*c_0101_3^3 - 2814/1409*c_0101_3^2 - 596/1409*c_0101_3 + 434/1409, c_0101_0 + 749/1409*c_0101_3^8 - 25/1409*c_0101_3^7 - 5623/1409*c_0101_3^6 + 4360/1409*c_0101_3^5 + 1773/1409*c_0101_3^4 - 3716/1409*c_0101_3^3 + 9296/1409*c_0101_3^2 - 5693/1409*c_0101_3 + 1181/1409, c_0101_1 - 1, c_0101_3^9 - c_0101_3^8 - 8*c_0101_3^7 + 13*c_0101_3^6 + c_0101_3^5 - 9*c_0101_3^4 + 13*c_0101_3^3 - 19*c_0101_3^2 + 7*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB