Magma V2.19-8 Tue Aug 20 2013 16:14:12 on localhost [Seed = 492601651] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s172 geometric_solution 4.26773649 oriented_manifold CS_known 0.0000000000000000 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 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 0 1 -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 0.638566533186 0.046026769391 0 2 0 2 0132 0132 1023 1023 0 0 0 0 0 0 1 -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 0 0 0 0 -1 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 0.701341691904 0.125298190042 3 1 4 1 0132 0132 0132 1023 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 1 -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 0.703817450023 0.483724740300 2 5 4 4 0132 0132 3012 2310 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 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 0.830352226752 1.154620040186 3 3 5 2 3201 1230 1023 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 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 0.830352226752 1.154620040186 5 3 4 5 3201 0132 1023 2310 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 1 0 -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 0.312346146911 1.043829985587 ==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_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_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_0'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 4102/4127*c_0101_3^10 + 7769/4127*c_0101_3^9 - 8364/4127*c_0101_3^8 - 38757/4127*c_0101_3^7 + 12261/4127*c_0101_3^6 + 59167/4127*c_0101_3^5 - 44890/4127*c_0101_3^4 - 45755/4127*c_0101_3^3 + 45321/4127*c_0101_3^2 - 4949/4127*c_0101_3 - 12427/4127, c_0011_0 - 1, c_0011_4 + 1638/4127*c_0101_3^10 + 4539/4127*c_0101_3^9 - 3523/4127*c_0101_3^8 - 24829/4127*c_0101_3^7 - 5344/4127*c_0101_3^6 + 56079/4127*c_0101_3^5 + 5245/4127*c_0101_3^4 - 71795/4127*c_0101_3^3 + 14224/4127*c_0101_3^2 + 42632/4127*c_0101_3 - 13329/4127, c_0101_0 - 1087/4127*c_0101_3^10 - 2929/4127*c_0101_3^9 + 995/4127*c_0101_3^8 + 13849/4127*c_0101_3^7 + 6338/4127*c_0101_3^6 - 23632/4127*c_0101_3^5 - 9651/4127*c_0101_3^4 + 25374/4127*c_0101_3^3 + 5940/4127*c_0101_3^2 - 13950/4127*c_0101_3 - 1835/4127, c_0101_1 - 3528/4127*c_0101_3^10 - 8189/4127*c_0101_3^9 + 7588/4127*c_0101_3^8 + 43954/4127*c_0101_3^7 + 399/4127*c_0101_3^6 - 88087/4127*c_0101_3^5 + 9973/4127*c_0101_3^4 + 100032/4127*c_0101_3^3 - 29049/4127*c_0101_3^2 - 48648/4127*c_0101_3 + 13153/4127, c_0101_2 - 46/4127*c_0101_3^10 - 67/4127*c_0101_3^9 + 623/4127*c_0101_3^8 + 662/4127*c_0101_3^7 - 2697/4127*c_0101_3^6 - 5203/4127*c_0101_3^5 + 7371/4127*c_0101_3^4 + 9081/4127*c_0101_3^3 - 8724/4127*c_0101_3^2 - 4649/4127*c_0101_3 + 5363/4127, c_0101_3^11 + 2*c_0101_3^10 - 3*c_0101_3^9 - 12*c_0101_3^8 + 4*c_0101_3^7 + 26*c_0101_3^6 - 11*c_0101_3^5 - 29*c_0101_3^4 + 18*c_0101_3^3 + 13*c_0101_3^2 - 9*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB