Magma V2.19-8 Tue Aug 20 2013 16:15:56 on localhost [Seed = 2867541654] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0171 geometric_solution 3.95799750 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 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 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 1.793423783007 0.129759098459 0 2 3 0 3201 0132 0132 0132 0 0 0 0 0 -1 0 1 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 1 -1 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.012953618360 1.070141534794 4 1 3 5 0132 0132 1302 0132 0 0 0 0 0 1 0 -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 0 0 0 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 -0.277949732570 0.481077727502 2 6 4 1 2031 0132 2310 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.277949732570 0.481077727502 2 3 5 6 0132 3201 1230 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.174196626848 0.299701634244 6 6 2 4 3012 3201 0132 3012 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 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.472141498414 0.847090162325 4 3 5 5 3012 0132 2310 1230 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 -1 1 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 -0.472141498414 0.847090162325 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(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' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], '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_0011_5, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 13898054/185905*c_0101_4^9 - 3253308/37181*c_0101_4^8 + 40911793/37181*c_0101_4^7 + 200672548/185905*c_0101_4^6 - 81488561/37181*c_0101_4^5 - 697820899/185905*c_0101_4^4 + 137359828/185905*c_0101_4^3 + 547585646/185905*c_0101_4^2 + 214059167/185905*c_0101_4 + 30430421/185905, c_0011_0 - 1, c_0011_1 + 647/37181*c_0101_4^9 - 973/37181*c_0101_4^8 - 3361/37181*c_0101_4^7 + 26569/37181*c_0101_4^6 - 66207/37181*c_0101_4^5 - 133347/37181*c_0101_4^4 + 12906/37181*c_0101_4^3 + 239698/37181*c_0101_4^2 + 96222/37181*c_0101_4 - 15555/37181, c_0011_3 - 15399/37181*c_0101_4^9 - 14885/37181*c_0101_4^8 + 222454/37181*c_0101_4^7 + 162924/37181*c_0101_4^6 - 393906/37181*c_0101_4^5 - 529590/37181*c_0101_4^4 + 238821/37181*c_0101_4^3 + 313017/37181*c_0101_4^2 - 10149/37181*c_0101_4 - 10901/37181, c_0011_5 + 14129/37181*c_0101_4^9 + 31334/37181*c_0101_4^8 - 174653/37181*c_0101_4^7 - 377535/37181*c_0101_4^6 + 22524/37181*c_0101_4^5 + 611639/37181*c_0101_4^4 + 402058/37181*c_0101_4^3 - 53866/37181*c_0101_4^2 - 40748/37181*c_0101_4 + 5115/37181, c_0101_0 + 2429/37181*c_0101_4^9 + 6921/37181*c_0101_4^8 - 29973/37181*c_0101_4^7 - 92767/37181*c_0101_4^6 + 5388/37181*c_0101_4^5 + 220475/37181*c_0101_4^4 + 110459/37181*c_0101_4^3 - 164858/37181*c_0101_4^2 - 92746/37181*c_0101_4 + 33492/37181, c_0101_3 + 15399/37181*c_0101_4^9 + 14885/37181*c_0101_4^8 - 222454/37181*c_0101_4^7 - 162924/37181*c_0101_4^6 + 393906/37181*c_0101_4^5 + 529590/37181*c_0101_4^4 - 238821/37181*c_0101_4^3 - 313017/37181*c_0101_4^2 + 10149/37181*c_0101_4 + 10901/37181, c_0101_4^10 + c_0101_4^9 - 15*c_0101_4^8 - 12*c_0101_4^7 + 33*c_0101_4^6 + 46*c_0101_4^5 - 21*c_0101_4^4 - 41*c_0101_4^3 - 7*c_0101_4^2 + 3*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB