Magma V2.19-8 Tue Aug 20 2013 16:18:13 on localhost [Seed = 3802365913] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2433 geometric_solution 5.78073207 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492914705237 0.318727993485 2 0 3 0 0132 2310 0132 0132 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 0 0 0 1 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.076491146119 0.606321305397 1 4 3 5 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.063772645167 0.823399791639 5 2 4 1 1023 1230 1023 0132 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 0 0 0 1 0 0 -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 1.063772645167 0.823399791639 4 2 3 4 3012 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.386357098522 0.603499630936 6 3 2 6 0132 1023 0132 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 -1 0 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 0.745012986233 0.410125371528 5 6 6 5 0132 3201 2310 1023 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 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 1.143472313862 0.440625911304 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0011_1'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 66027185/56073*c_0101_6^10 + 550347545/112146*c_0101_6^9 - 102978067/112146*c_0101_6^8 - 1687909337/56073*c_0101_6^7 + 2612353957/37382*c_0101_6^6 - 4819980752/56073*c_0101_6^5 + 5890433398/56073*c_0101_6^4 - 3840321315/37382*c_0101_6^3 + 3579226339/112146*c_0101_6^2 + 743275385/112146*c_0101_6 - 361348973/112146, c_0011_0 - 1, c_0011_1 - 16406/18691*c_0101_6^10 + 65964/18691*c_0101_6^9 - 1882/18691*c_0101_6^8 - 422787/18691*c_0101_6^7 + 906373/18691*c_0101_6^6 - 1038537/18691*c_0101_6^5 + 1281755/18691*c_0101_6^4 - 1220426/18691*c_0101_6^3 + 237538/18691*c_0101_6^2 + 120864/18691*c_0101_6 - 12333/18691, c_0011_3 + 84054/18691*c_0101_0*c_0101_6^10 - 327390/18691*c_0101_0*c_0101_6^9 - 22907/18691*c_0101_0*c_0101_6^8 + 2139542/18691*c_0101_0*c_0101_6^7 - 4406862/18691*c_0101_0*c_0101_6^6 + 4955244/18691*c_0101_0*c_0101_6^5 - 6180001/18691*c_0101_0*c_0101_6^4 + 5680067/18691*c_0101_0*c_0101_6^3 - 778489/18691*c_0101_0*c_0101_6^2 - 643812/18691*c_0101_0*c_0101_6 + 49162/18691*c_0101_0, c_0101_0^2 - 16406/18691*c_0101_6^10 + 65964/18691*c_0101_6^9 - 1882/18691*c_0101_6^8 - 422787/18691*c_0101_6^7 + 906373/18691*c_0101_6^6 - 1038537/18691*c_0101_6^5 + 1281755/18691*c_0101_6^4 - 1220426/18691*c_0101_6^3 + 237538/18691*c_0101_6^2 + 120864/18691*c_0101_6 - 31024/18691, c_0101_1 + 34516/18691*c_0101_6^10 - 135423/18691*c_0101_6^9 - 5713/18691*c_0101_6^8 + 879470/18691*c_0101_6^7 - 1832507/18691*c_0101_6^6 + 2080410/18691*c_0101_6^5 - 2601108/18691*c_0101_6^4 + 2423360/18691*c_0101_6^3 - 386704/18691*c_0101_6^2 - 257615/18691*c_0101_6 + 36303/18691, c_0101_3 + 33998/18691*c_0101_6^10 - 144430/18691*c_0101_6^9 + 35932/18691*c_0101_6^8 + 874080/18691*c_0101_6^7 - 2086002/18691*c_0101_6^6 + 2592477/18691*c_0101_6^5 - 3136500/18691*c_0101_6^4 + 3127440/18691*c_0101_6^3 - 1067139/18691*c_0101_6^2 - 210643/18691*c_0101_6 + 115098/18691, c_0101_6^11 - 4*c_0101_6^10 + 26*c_0101_6^8 - 55*c_0101_6^7 + 61*c_0101_6^6 - 73*c_0101_6^5 + 68*c_0101_6^4 - 7*c_0101_6^3 - 15*c_0101_6^2 + 2*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB