Magma V2.19-8 Tue Aug 20 2013 16:16:03 on localhost [Seed = 543276262] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0301 geometric_solution 4.34126353 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 1023 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 0.153200890272 1.222139302279 0 4 0 4 0132 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656988332525 0.147329087513 5 0 5 3 0132 0132 1023 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 1 0 0 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.175618551034 1.587864307780 2 6 0 6 3012 0132 0132 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.175618551034 1.587864307780 1 1 4 4 3201 0132 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 0.549992086128 0.065187481773 2 6 2 6 0132 3201 1023 2310 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 -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 0.425352899596 0.425386127600 5 3 5 3 3201 0132 2310 1023 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 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 0.425352899596 0.425386127600 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : 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' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0110_4'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_3'], '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_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0110_4']), '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_0101_0, c_0101_1, c_0101_2, c_0110_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 126297/11*c_0110_6^15 + 303168/11*c_0110_6^14 + 464235/11*c_0110_6^13 - 1162272/11*c_0110_6^12 + 1960626/11*c_0110_6^11 - 6223958/11*c_0110_6^10 + 10910855/11*c_0110_6^9 - 1340441*c_0110_6^8 + 18420266/11*c_0110_6^7 - 18518690/11*c_0110_6^6 + 14755366/11*c_0110_6^5 - 10007335/11*c_0110_6^4 + 5497351/11*c_0110_6^3 - 2086311/11*c_0110_6^2 + 455470/11*c_0110_6 - 41926/11, c_0011_0 - 1, c_0011_3 - 3*c_0110_6^15 - 8*c_0110_6^14 - 14*c_0110_6^13 + 21*c_0110_6^12 - 47*c_0110_6^11 + 137*c_0110_6^10 - 234*c_0110_6^9 + 318*c_0110_6^8 - 395*c_0110_6^7 + 390*c_0110_6^6 - 313*c_0110_6^5 + 210*c_0110_6^4 - 116*c_0110_6^3 + 43*c_0110_6^2 - 10*c_0110_6 + 1, c_0101_0 - 462*c_0110_6^15 - 1157*c_0110_6^14 - 1908*c_0110_6^13 + 3754*c_0110_6^12 - 7388*c_0110_6^11 + 22273*c_0110_6^10 - 38692*c_0110_6^9 + 53301*c_0110_6^8 - 66334*c_0110_6^7 + 66911*c_0110_6^6 - 54168*c_0110_6^5 + 37089*c_0110_6^4 - 20627*c_0110_6^3 + 8188*c_0110_6^2 - 1974*c_0110_6 + 216, c_0101_1 + 54*c_0110_6^15 + 141*c_0110_6^14 + 241*c_0110_6^13 - 403*c_0110_6^12 + 842*c_0110_6^11 - 2517*c_0110_6^10 + 4298*c_0110_6^9 - 5872*c_0110_6^8 + 7280*c_0110_6^7 - 7245*c_0110_6^6 + 5799*c_0110_6^5 - 3928*c_0110_6^4 + 2150*c_0110_6^3 - 828*c_0110_6^2 + 188*c_0110_6 - 19, c_0101_2 + c_0110_6, c_0110_4 + 3030*c_0110_6^15 + 7069*c_0110_6^14 + 10895*c_0110_6^13 - 27728*c_0110_6^12 + 50852*c_0110_6^11 - 152752*c_0110_6^10 + 274505*c_0110_6^9 - 379974*c_0110_6^8 + 475075*c_0110_6^7 - 486990*c_0110_6^6 + 398629*c_0110_6^5 - 274704*c_0110_6^4 + 155173*c_0110_6^3 - 62955*c_0110_6^2 + 15389*c_0110_6 - 1668, c_0110_6^16 + 5/3*c_0110_6^15 + 2*c_0110_6^14 - 35/3*c_0110_6^13 + 68/3*c_0110_6^12 - 184/3*c_0110_6^11 + 371/3*c_0110_6^10 - 184*c_0110_6^9 + 713/3*c_0110_6^8 - 785/3*c_0110_6^7 + 703/3*c_0110_6^6 - 523/3*c_0110_6^5 + 326/3*c_0110_6^4 - 53*c_0110_6^3 + 18*c_0110_6^2 - 11/3*c_0110_6 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB