Magma V2.19-8 Tue Aug 20 2013 16:17:39 on localhost [Seed = 1814950026] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1893 geometric_solution 5.50954211 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 1 2 0 3201 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.427866829511 1.117522191594 3 0 2 4 0132 0132 1302 0132 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 -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 0.618082874743 0.557310842703 1 5 3 0 2031 0132 2310 0132 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 0 0 0 0 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 -0.434311039760 0.339914209753 1 2 6 5 0132 3201 0132 1230 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 0 1 0 1 -1 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 -0.114062738917 0.652796942590 5 6 1 6 2031 3120 0132 1302 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 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 0.756865988542 0.579789895913 3 2 4 6 3012 0132 1302 1230 0 0 0 0 0 0 0 0 -1 0 0 1 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 -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 -0.243134011458 0.579789895913 5 4 4 3 3012 3120 2031 0132 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 0 0 0 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 0.167366391372 0.637830951038 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0110_4'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : 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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 580227584/805593*c_0110_4^13 - 1195516320/268531*c_0110_4^11 + 7525308788/805593*c_0110_4^9 - 4690278232/805593*c_0110_4^7 - 997859728/805593*c_0110_4^5 - 1605167768/805593*c_0110_4^3 - 240108811/805593*c_0110_4, c_0011_0 - 1, c_0011_2 - 1102768/268531*c_0110_4^13 + 7017638/268531*c_0110_4^11 - 15700864/268531*c_0110_4^9 + 12319198/268531*c_0110_4^7 - 1223922/268531*c_0110_4^5 + 7207355/537062*c_0110_4^3 - 161157/537062*c_0110_4, c_0011_4 - 1641288/268531*c_0110_4^12 + 10174673/268531*c_0110_4^10 - 21588076/268531*c_0110_4^8 + 14142325/268531*c_0110_4^6 + 1853466/268531*c_0110_4^4 + 19114633/1074124*c_0110_4^2 + 1891651/1074124, c_0011_6 - c_0110_4, c_0101_0 - 9144456/268531*c_0110_4^13 + 57094297/268531*c_0110_4^11 - 122207416/268531*c_0110_4^9 + 81810775/268531*c_0110_4^7 + 10175472/268531*c_0110_4^5 + 98710525/1074124*c_0110_4^3 + 9992847/1074124*c_0110_4, c_0101_3 + 3801480/268531*c_0110_4^13 - 23461593/268531*c_0110_4^11 + 48952732/268531*c_0110_4^9 - 29809015/268531*c_0110_4^7 - 7165748/268531*c_0110_4^5 - 43728141/1074124*c_0110_4^3 - 6269743/1074124*c_0110_4, c_0110_4^14 - 49/8*c_0110_4^12 + 101/8*c_0110_4^10 - 59/8*c_0110_4^8 - 17/8*c_0110_4^6 - 93/32*c_0110_4^4 - 9/16*c_0110_4^2 - 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB