Magma V2.19-8 Tue Aug 20 2013 16:18:39 on localhost [Seed = 155751482] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2826 geometric_solution 6.04874954 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.513744020191 0.135372305078 0 2 0 3 0132 0132 2310 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 -1 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 0.557425754084 0.786663860259 4 1 5 3 0132 0132 0132 1230 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 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 1.056113327138 1.350750964011 2 5 1 6 3012 3201 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 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 1.056113327138 1.350750964011 2 6 5 6 0132 2310 1302 3201 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 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 0.338071376430 0.757932701445 4 6 3 2 2031 2031 2310 0132 0 0 0 0 0 -1 1 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 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 0.539830275642 0.512470703238 5 4 3 4 1302 2310 0132 3201 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 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 0.338071376430 0.757932701445 ==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' : 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_0'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0110_6']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : negation(d['c_0101_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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 6731179/584*c_0110_6^15 + 11283135/292*c_0110_6^13 - 17279721/584*c_0110_6^11 + 4779045/146*c_0110_6^9 - 6968949/146*c_0110_6^7 + 2371911/73*c_0110_6^5 - 2897013/292*c_0110_6^3 + 169983/146*c_0110_6, c_0011_0 - 1, c_0011_3 - 63455/73*c_0110_6^15 + 1701469/584*c_0110_6^13 - 651693/292*c_0110_6^11 + 1445487/584*c_0110_6^9 - 1051685/292*c_0110_6^7 + 357915/146*c_0110_6^5 - 220945/292*c_0110_6^3 + 26209/292*c_0110_6, c_0011_6 + 204771/584*c_0110_6^14 - 342867/292*c_0110_6^12 + 522913/584*c_0110_6^10 - 289935/292*c_0110_6^8 + 211885/146*c_0110_6^6 - 286695/292*c_0110_6^4 + 88043/292*c_0110_6^2 - 2590/73, c_0101_0 - 89719/1168*c_0110_6^14 + 276977/1168*c_0110_6^12 - 175667/1168*c_0110_6^10 + 259063/1168*c_0110_6^8 - 158509/584*c_0110_6^6 + 105201/584*c_0110_6^4 - 17971/292*c_0110_6^2 + 4451/584, c_0101_1 + 412923/1168*c_0110_6^14 - 1537387/1168*c_0110_6^12 + 1507483/1168*c_0110_6^10 - 1373469/1168*c_0110_6^8 + 1028879/584*c_0110_6^6 - 823945/584*c_0110_6^4 + 72475/146*c_0110_6^2 - 37925/584, c_0101_2 - c_0110_6, c_0110_6^16 - 184/49*c_0110_6^14 + 192/49*c_0110_6^12 - 190/49*c_0110_6^10 + 37/7*c_0110_6^8 - 220/49*c_0110_6^6 + 2*c_0110_6^4 - 22/49*c_0110_6^2 + 2/49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB