Magma V2.19-8 Tue Aug 20 2013 16:14:39 on localhost [Seed = 4054871542] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s629 geometric_solution 5.11331175 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 1302 1023 2031 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 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 0.438698164497 0.175346040124 0 2 0 3 0132 0132 1023 0132 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 0 -1 0 0 0 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 0.685016917231 1.516936805406 4 1 5 3 0132 0132 0132 3120 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 -1 1 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 0.329355343793 0.639029492852 2 5 1 4 3120 3201 0132 3201 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 -1 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 0 0 0.329355343793 0.639029492852 2 3 4 4 0132 2310 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 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 1.362743983075 1.236431705109 5 5 3 2 1230 3012 2310 0132 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599100113168 0.954441619537 ==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' : negation(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_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_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_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 27233849/2860991*c_0101_5^15 - 251222658/2860991*c_0101_5^13 + 708948304/2860991*c_0101_5^11 - 3525858503/2860991*c_0101_5^9 + 6208486990/2860991*c_0101_5^7 - 680550587/408713*c_0101_5^5 + 1887372433/2860991*c_0101_5^3 - 322913715/2860991*c_0101_5, c_0011_0 - 1, c_0011_3 - 387119/2860991*c_0101_5^14 + 3451919/2860991*c_0101_5^12 - 9062447/2860991*c_0101_5^10 + 47696108/2860991*c_0101_5^8 - 74286007/2860991*c_0101_5^6 + 7166676/408713*c_0101_5^4 - 15635659/2860991*c_0101_5^2 + 532668/2860991, c_0011_5 - 1010535/2860991*c_0101_5^14 + 8831031/2860991*c_0101_5^12 - 21919043/2860991*c_0101_5^10 + 119375691/2860991*c_0101_5^8 - 170666602/2860991*c_0101_5^6 + 11844538/408713*c_0101_5^4 - 17757080/2860991*c_0101_5^2 - 567348/2860991, c_0101_1 - 695692/2860991*c_0101_5^15 + 6187632/2860991*c_0101_5^13 - 16058101/2860991*c_0101_5^11 + 84658396/2860991*c_0101_5^9 - 130095522/2860991*c_0101_5^7 + 10979302/408713*c_0101_5^5 - 17273346/2860991*c_0101_5^3 - 4389517/2860991*c_0101_5, c_0101_4 - 1754264/2860991*c_0101_5^15 + 15054262/2860991*c_0101_5^13 - 35778609/2860991*c_0101_5^11 + 202298699/2860991*c_0101_5^9 - 265301604/2860991*c_0101_5^7 + 15953050/408713*c_0101_5^5 - 14098075/2860991*c_0101_5^3 - 5763308/2860991*c_0101_5, c_0101_5^16 - 9*c_0101_5^14 + 24*c_0101_5^12 - 124*c_0101_5^10 + 200*c_0101_5^8 - 129*c_0101_5^6 + 40*c_0101_5^4 - 3*c_0101_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB