Magma V2.19-8 Tue Aug 20 2013 16:17:55 on localhost [Seed = 3431813133] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2140 geometric_solution 5.62412748 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.677530875836 1.246245426890 0 4 6 5 0132 0321 0132 0132 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 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.633289002809 0.112699537273 4 0 2 2 1302 0132 1230 3012 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 0 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 0.257053068998 0.470724940482 5 6 6 0 0132 3012 0213 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.281171421374 0.500547889895 5 2 0 1 1302 2031 0132 0321 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 -1 1 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 0.653328280482 1.039686326051 3 4 1 6 0132 2031 0132 1302 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 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 0.519788998087 0.518731217072 3 3 5 1 1230 0213 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469414877006 0.272381542003 ==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' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_1001_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], '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_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0110_2'])})} 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_3, c_0011_4, c_0011_6, c_0101_0, c_0110_2, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 10152/221*c_1001_1^11 - 487/221*c_1001_1^10 + 18286/221*c_1001_1^9 + 61995/221*c_1001_1^8 + 57857/221*c_1001_1^7 - 47018/221*c_1001_1^6 - 166115/221*c_1001_1^5 - 152887/221*c_1001_1^4 + 1962/221*c_1001_1^3 + 111273/221*c_1001_1^2 + 85770/221*c_1001_1 + 25439/221, c_0011_0 - 1, c_0011_3 + 877/3757*c_1001_1^11 + 575/3757*c_1001_1^10 - 2071/3757*c_1001_1^9 - 6577/3757*c_1001_1^8 - 6718/3757*c_1001_1^7 + 4503/3757*c_1001_1^6 + 19078/3757*c_1001_1^5 + 17989/3757*c_1001_1^4 - 2749/3757*c_1001_1^3 - 14420/3757*c_1001_1^2 - 7304/3757*c_1001_1 + 1093/3757, c_0011_4 - 197/3757*c_1001_1^11 + 1533/3757*c_1001_1^10 - 1771/3757*c_1001_1^9 + 355/3757*c_1001_1^8 - 6202/3757*c_1001_1^7 + 852/3757*c_1001_1^6 + 7204/3757*c_1001_1^5 + 9959/3757*c_1001_1^4 + 2511/3757*c_1001_1^3 - 8683/3757*c_1001_1^2 - 5582/3757*c_1001_1 - 464/3757, c_0011_6 - 328/3757*c_1001_1^11 + 1370/3757*c_1001_1^10 - 622/3757*c_1001_1^9 + 305/3757*c_1001_1^8 - 4376/3757*c_1001_1^7 - 3025/3757*c_1001_1^6 + 3279/3757*c_1001_1^5 + 8133/3757*c_1001_1^4 + 2369/3757*c_1001_1^3 - 1851/3757*c_1001_1^2 - 3420/3757*c_1001_1 + 448/3757, c_0101_0 + 1557/3757*c_1001_1^11 - 1074/3757*c_1001_1^10 - 2156/3757*c_1001_1^9 - 9042/3757*c_1001_1^8 - 853/3757*c_1001_1^7 + 9858/3757*c_1001_1^6 + 22818/3757*c_1001_1^5 + 8367/3757*c_1001_1^4 - 14258/3757*c_1001_1^3 - 14981/3757*c_1001_1^2 - 5162/3757*c_1001_1 + 1722/3757, c_0110_2 + 656/3757*c_1001_1^11 - 2740/3757*c_1001_1^10 + 1244/3757*c_1001_1^9 - 610/3757*c_1001_1^8 + 8752/3757*c_1001_1^7 + 6050/3757*c_1001_1^6 - 6558/3757*c_1001_1^5 - 16266/3757*c_1001_1^4 - 8495/3757*c_1001_1^3 + 7459/3757*c_1001_1^2 + 6840/3757*c_1001_1 - 896/3757, c_1001_1^12 - 2*c_1001_1^10 - 6*c_1001_1^9 - 5*c_1001_1^8 + 6*c_1001_1^7 + 17*c_1001_1^6 + 13*c_1001_1^5 - 4*c_1001_1^4 - 13*c_1001_1^3 - 7*c_1001_1^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB