Magma V2.19-8 Tue Aug 20 2013 16:19:27 on localhost [Seed = 374836010] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3547 geometric_solution 6.96235955 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 0 1 0 2 2031 0132 1302 0132 0 0 0 0 0 -1 -1 2 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 0 1 -1 -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 0.537986587725 0.670283825439 3 0 5 4 0132 0132 0132 0132 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 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 0.776634305224 0.854960196635 4 5 0 6 1023 1023 0132 0132 0 0 0 0 0 1 -2 1 0 0 0 0 0 1 0 -1 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.776634305224 0.854960196635 1 6 6 6 0132 2310 2103 2031 1 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 -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 0.543266517769 0.728631606597 4 2 1 4 3012 1023 0132 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626664956538 0.807515581777 2 5 5 1 1023 3201 2310 0132 0 0 0 0 0 0 -1 1 -1 0 1 0 -1 1 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 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 0.598597948704 0.682615587584 3 3 2 3 2103 1302 0132 3201 0 0 1 0 0 0 -1 1 0 0 0 0 1 -1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543266517769 0.728631606597 ==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' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_2'], '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' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_2'], 'c_0110_6' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0101_5']})} 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_6, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 26285729/718472*c_0101_5^9 - 22919845/179618*c_0101_5^8 - 25518001/179618*c_0101_5^7 - 161280483/179618*c_0101_5^6 - 98257141/718472*c_0101_5^5 + 778697825/718472*c_0101_5^4 - 226598265/718472*c_0101_5^3 - 80646107/359236*c_0101_5^2 + 232168055/718472*c_0101_5 - 20193645/718472, c_0011_0 - 1, c_0011_2 - 10085/179618*c_0101_5^9 - 22582/89809*c_0101_5^8 - 41002/89809*c_0101_5^7 - 164096/89809*c_0101_5^6 - 353965/179618*c_0101_5^5 + 23763/179618*c_0101_5^4 - 163569/179618*c_0101_5^3 + 115825/89809*c_0101_5^2 + 163749/179618*c_0101_5 - 32863/179618, c_0011_6 - 1, c_0101_1 - 15899/89809*c_0101_5^9 - 61904/89809*c_0101_5^8 - 69089/89809*c_0101_5^7 - 371465/89809*c_0101_5^6 - 182137/89809*c_0101_5^5 + 799276/89809*c_0101_5^4 - 122917/89809*c_0101_5^3 - 457912/89809*c_0101_5^2 + 209982/89809*c_0101_5 + 77878/89809, c_0101_2 - 57857/179618*c_0101_5^9 - 97751/89809*c_0101_5^8 - 104444/89809*c_0101_5^7 - 706952/89809*c_0101_5^6 - 69303/179618*c_0101_5^5 + 1619097/179618*c_0101_5^4 - 608073/179618*c_0101_5^3 + 9102/89809*c_0101_5^2 + 366795/179618*c_0101_5 - 138361/179618, c_0101_3 - 15899/89809*c_0101_5^9 - 61904/89809*c_0101_5^8 - 69089/89809*c_0101_5^7 - 371465/89809*c_0101_5^6 - 182137/89809*c_0101_5^5 + 799276/89809*c_0101_5^4 - 122917/89809*c_0101_5^3 - 457912/89809*c_0101_5^2 + 209982/89809*c_0101_5 - 11931/89809, c_0101_5^10 + 3*c_0101_5^9 + 2*c_0101_5^8 + 22*c_0101_5^7 - 9*c_0101_5^6 - 36*c_0101_5^5 + 22*c_0101_5^4 + 7*c_0101_5^3 - 13*c_0101_5^2 + 4*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB