Magma V2.19-8 Tue Aug 20 2013 23:31:19 on localhost [Seed = 2934491188] Type ? for help. Type -D to quit. Loading file "L14n56956__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n56956 geometric_solution 8.37220995 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 2 1 3 0132 0132 2310 0132 2 2 2 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.119038995833 0.895041534236 0 0 1 1 0132 3201 2031 1302 2 2 2 2 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 -1 1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515384517968 0.226568278116 4 0 6 5 0132 0132 0132 0132 2 2 2 2 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 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.275785203591 0.795008639271 7 6 0 8 0132 3201 0132 0132 2 2 2 2 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 1 -2 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 0.275785203591 0.795008639271 2 8 8 8 0132 2310 2103 2031 0 2 2 2 0 1 -1 0 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 2 -3 1 0 0 0 0 -2 0 0 2 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575662574611 0.943537377829 7 7 2 7 2103 1302 0132 3201 2 2 1 2 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 3 1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252302704363 0.983322729802 6 6 3 2 1230 3012 2310 0132 2 2 2 2 0 0 0 0 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 0 0 0 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 0.534459835649 1.261809597412 3 5 5 5 0132 2310 2103 2031 1 2 2 2 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 4 -3 -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 0.252302704363 0.983322729802 4 4 3 4 2103 1302 0132 3201 2 2 0 2 0 0 -1 1 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 0 2 -2 0 0 0 0 3 -1 0 -2 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575662574611 0.943537377829 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0011_8'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0101_6']), 'c_1001_8' : d['c_0011_6'], 's_2_8' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_0_8' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_8' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_8'], 'c_1100_7' : d['c_0011_5'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_3'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_6']), 'c_1010_8' : negation(d['c_0011_8']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(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' : d['1'], 's_1_0' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_4'], 'c_0110_8' : negation(d['c_0011_8']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0011_5']), 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 1651837/40192*c_0101_6^5 + 4035293/20096*c_0101_6^4 + 16710651/40192*c_0101_6^3 + 10873783/20096*c_0101_6^2 + 17761151/40192*c_0101_6 + 1482917/10048, c_0011_0 - 1, c_0011_3 - 5269/2512*c_0101_6^5 - 8589/1256*c_0101_6^4 - 24867/2512*c_0101_6^3 - 13295/1256*c_0101_6^2 - 11111/2512*c_0101_6 - 397/628, c_0011_5 - 1, c_0011_6 - 979/2512*c_0101_6^5 - 1019/1256*c_0101_6^4 - 2229/2512*c_0101_6^3 - 1681/1256*c_0101_6^2 - 2033/2512*c_0101_6 - 315/628, c_0011_8 - 1, c_0101_0 + 11319/2512*c_0101_6^5 + 25287/1256*c_0101_6^4 + 98337/2512*c_0101_6^3 + 61589/1256*c_0101_6^2 + 92317/2512*c_0101_6 + 6535/628, c_0101_1 - 2145/1256*c_0101_6^5 - 3785/628*c_0101_6^4 - 11319/1256*c_0101_6^3 - 5807/628*c_0101_6^2 - 4539/1256*c_0101_6 + 273/314, c_0101_4 - 979/2512*c_0101_6^5 - 1019/1256*c_0101_6^4 - 2229/2512*c_0101_6^3 - 1681/1256*c_0101_6^2 - 2033/2512*c_0101_6 - 943/628, c_0101_6^6 + 58/11*c_0101_6^5 + 133/11*c_0101_6^4 + 190/11*c_0101_6^3 + 177/11*c_0101_6^2 + 8*c_0101_6 + 16/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB