Magma V2.19-8 Tue Aug 20 2013 16:18:43 on localhost [Seed = 374836069] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2887 geometric_solution 6.09756915 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 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 0.353907585005 0.193118519415 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 1 -1 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 1 -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 0.468807097250 0.994971633842 1 4 5 6 0132 0132 0132 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 0 -1 0 0 -1 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705727722554 1.052525587118 6 5 4 1 1023 1023 3201 0132 0 0 0 0 0 1 0 -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 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 0.705727722554 1.052525587118 3 2 4 4 2310 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 -1 0 1 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 0.010659924497 1.276716013837 3 5 5 2 1023 1230 3012 0132 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 0 0 0 0.891812414959 0.522876280233 6 3 2 6 3012 1023 0132 1230 0 0 0 0 0 0 0 0 0 0 -1 1 -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 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 1.135229115758 0.800722381327 ==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_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0101_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 2799269/208*c_0101_4^14 + 28582823/208*c_0101_4^13 + 4465337/104*c_0101_4^12 - 277398045/208*c_0101_4^11 + 33617163/104*c_0101_4^10 - 447188457/104*c_0101_4^9 + 189647351/208*c_0101_4^8 - 242012977/52*c_0101_4^7 + 52188445/52*c_0101_4^6 - 238895127/104*c_0101_4^5 + 52505151/104*c_0101_4^4 - 6818767/13*c_0101_4^3 + 1537194/13*c_0101_4^2 - 9345627/208*c_0101_4 + 2172187/208, c_0011_0 - 1, c_0011_1 + c_0101_4^13 - 10*c_0101_4^12 - 5*c_0101_4^11 + 95*c_0101_4^10 - 5*c_0101_4^9 + 348*c_0101_4^8 - c_0101_4^7 + 441*c_0101_4^6 + 274*c_0101_4^4 + 90*c_0101_4^2 + 12, c_0011_3 + 8383/52*c_0101_4^14 - 82737/52*c_0101_4^13 - 27609/26*c_0101_4^12 + 814439/52*c_0101_4^11 + 38283/26*c_0101_4^10 + 1340369/26*c_0101_4^9 + 360163/52*c_0101_4^8 + 734179/13*c_0101_4^7 + 102308/13*c_0101_4^6 + 732525/26*c_0101_4^5 + 106073/26*c_0101_4^4 + 84707/13*c_0101_4^3 + 12721/13*c_0101_4^2 + 29401/52*c_0101_4 + 4559/52, c_0101_0 + 8409/26*c_0101_4^14 - 82997/26*c_0101_4^13 - 27674/13*c_0101_4^12 + 816909/26*c_0101_4^11 + 38218/13*c_0101_4^10 + 1344893/13*c_0101_4^9 + 360137/26*c_0101_4^8 + 1474091/13*c_0101_4^7 + 204616/13*c_0101_4^6 + 736087/13*c_0101_4^5 + 106073/13*c_0101_4^4 + 170584/13*c_0101_4^3 + 25442/13*c_0101_4^2 + 29739/26*c_0101_4 + 4559/26, c_0101_1 - 10*c_0101_4^13 + 100*c_0101_4^12 + 51*c_0101_4^11 - 960*c_0101_4^10 + 45*c_0101_4^9 - 3385*c_0101_4^8 + 5*c_0101_4^7 - 4062*c_0101_4^6 - c_0101_4^5 - 2299*c_0101_4^4 - 626*c_0101_4^2 - 65, c_0101_3 + 1733/26*c_0101_4^14 - 20361/26*c_0101_4^13 + 10602/13*c_0101_4^12 + 185051/26*c_0101_4^11 - 151407/13*c_0101_4^10 + 285420/13*c_0101_4^9 - 971603/26*c_0101_4^8 + 310294/13*c_0101_4^7 - 531939/13*c_0101_4^6 + 156947/13*c_0101_4^5 - 265914/13*c_0101_4^4 + 36820/13*c_0101_4^3 - 61778/13*c_0101_4^2 + 6471/26*c_0101_4 - 10821/26, c_0101_4^15 - 10*c_0101_4^14 - 5*c_0101_4^13 + 95*c_0101_4^12 - 5*c_0101_4^11 + 348*c_0101_4^10 - c_0101_4^9 + 441*c_0101_4^8 + 274*c_0101_4^6 + 90*c_0101_4^4 + 15*c_0101_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB