Magma V2.19-8 Tue Aug 20 2013 16:14:10 on localhost [Seed = 172725804] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s121 geometric_solution 4.07386944 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 1 0 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 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 1.880149465928 0.432472504984 0 2 3 0 0132 0132 0132 3201 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 -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 0 0 0.550121371273 1.015586756404 3 1 4 3 2310 0132 0132 3201 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 0 -1 1 0 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 -0.233166769980 0.578080534574 4 2 2 1 1023 2310 3201 0132 0 0 0 0 0 -1 0 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 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 -0.233166769980 0.578080534574 5 3 5 2 0132 1023 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 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 1.419686786933 1.882542967067 4 4 5 5 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400476856715 0.232234600126 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], '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_0101_4']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_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_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 24645/4244*c_0101_4^9 + 63637/2122*c_0101_4^8 - 62667/1061*c_0101_4^7 + 84445/1061*c_0101_4^6 - 153694/1061*c_0101_4^5 + 244287/1061*c_0101_4^4 - 920209/4244*c_0101_4^3 + 540391/4244*c_0101_4^2 - 98759/4244*c_0101_4 - 102189/4244, c_0011_0 - 1, c_0011_3 - 16225/2122*c_0101_4^9 + 119705/4244*c_0101_4^8 - 83729/2122*c_0101_4^7 + 261783/4244*c_0101_4^6 - 516545/4244*c_0101_4^5 + 321923/2122*c_0101_4^4 - 539243/4244*c_0101_4^3 + 130187/2122*c_0101_4^2 - 7963/4244*c_0101_4 - 17645/4244, c_0101_0 - 7645/4244*c_0101_4^9 + 5977/2122*c_0101_4^8 + 649/1061*c_0101_4^7 + 5790/1061*c_0101_4^6 - 8010/1061*c_0101_4^5 - 2250/1061*c_0101_4^4 + 25323/4244*c_0101_4^3 - 46297/4244*c_0101_4^2 + 14645/4244*c_0101_4 + 1103/4244, c_0101_1 + 4635/4244*c_0101_4^9 - 2053/1061*c_0101_4^8 - 1551/4244*c_0101_4^7 - 11841/4244*c_0101_4^6 + 5460/1061*c_0101_4^5 + 7625/4244*c_0101_4^4 - 10705/2122*c_0101_4^3 + 32961/4244*c_0101_4^2 - 15399/4244*c_0101_4 - 1123/2122, c_0101_2 - 15865/4244*c_0101_4^9 + 60013/4244*c_0101_4^8 - 85271/4244*c_0101_4^7 + 32332/1061*c_0101_4^6 - 258281/4244*c_0101_4^5 + 326409/4244*c_0101_4^4 - 267437/4244*c_0101_4^3 + 129801/4244*c_0101_4^2 - 263/1061*c_0101_4 - 11155/4244, c_0101_4^10 - 21/5*c_0101_4^9 + 7*c_0101_4^8 - 53/5*c_0101_4^7 + 20*c_0101_4^6 - 139/5*c_0101_4^5 + 132/5*c_0101_4^4 - 82/5*c_0101_4^3 + 22/5*c_0101_4^2 + 1/5*c_0101_4 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB