Magma V2.19-8 Tue Aug 20 2013 16:17:32 on localhost [Seed = 2017060004] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1766 geometric_solution 5.45092633 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1.293392495847 0.602929896858 0 4 5 0 0132 0132 0132 0213 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 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 -0.094878323994 1.907671747960 4 0 6 5 0132 0132 0132 2031 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 -1 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 0.315741024697 0.376102165360 6 4 4 0 2310 2310 0321 0132 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 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 0.374919287515 1.183547842877 2 1 3 3 0132 0132 0321 3201 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 1 0 -1 -1 0 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 0.348912496316 0.660642096484 6 2 6 1 0132 1302 0213 0132 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 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 0.315741024697 0.376102165360 5 5 3 2 0132 0213 3201 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 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 1.122355741958 0.616901553491 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : d['c_1001_4'], 'c_1100_3' : d['c_1001_4'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_5']), '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_0101_3']), 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_2']})} 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_5, c_0101_0, c_0101_3, c_1001_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 3549/673*c_1001_4^6 + 45885/673*c_1001_4^5 + 23764/673*c_1001_4^4 + 47935/673*c_1001_4^3 + 29388/673*c_1001_4^2 + 18700/673*c_1001_4 + 1694/673, c_0011_0 - 1, c_0011_3 + 465/673*c_1001_4^6 + 6008/673*c_1001_4^5 + 3158/673*c_1001_4^4 + 7436/673*c_1001_4^3 + 3706/673*c_1001_4^2 + 2767/673*c_1001_4 + 660/673, c_0011_5 - 71/673*c_1001_4^6 - 1133/673*c_1001_4^5 - 3303/673*c_1001_4^4 - 3014/673*c_1001_4^3 - 3776/673*c_1001_4^2 - 2139/673*c_1001_4 - 1056/673, c_0101_0 + 174/673*c_1001_4^6 + 2170/673*c_1001_4^5 + 322/673*c_1001_4^4 + 4211/673*c_1001_4^3 + 1339/673*c_1001_4^2 + 1678/673*c_1001_4 + 768/673, c_0101_3 + 37/673*c_1001_4^6 + 562/673*c_1001_4^5 + 1399/673*c_1001_4^4 + 1874/673*c_1001_4^3 + 745/673*c_1001_4^2 + 1200/673*c_1001_4 - 208/673, c_1001_2 - 37/673*c_1001_4^6 - 562/673*c_1001_4^5 - 1399/673*c_1001_4^4 - 1874/673*c_1001_4^3 - 745/673*c_1001_4^2 - 1200/673*c_1001_4 + 208/673, c_1001_4^7 + 13*c_1001_4^6 + 8*c_1001_4^5 + 19*c_1001_4^4 + 12*c_1001_4^3 + 9*c_1001_4^2 + 4*c_1001_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB