Magma V2.19-8 Tue Aug 20 2013 16:14:31 on localhost [Seed = 3086363575] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s507 geometric_solution 4.89415567 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 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 -1 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 -0.188578492830 0.847198912057 0 1 2 1 0132 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250333902925 1.124638377508 1 0 3 4 2310 0132 1023 1023 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.188578492830 0.847198912057 5 5 2 0 0132 3201 1023 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 -1 0 1 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 -0.252036764241 0.607308035526 4 4 0 2 1230 3012 0132 1023 0 0 0 0 0 -1 1 0 1 0 0 -1 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 1 -1 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 1.491727203027 1.360387598219 3 5 3 5 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.163173921612 1.796865193263 ==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_3'], 'c_1100_4' : d['c_1100_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0101_0']), '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_4'], '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_4']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0011_4'])})} 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_0011_4, c_0101_0, c_0101_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 26*c_1100_0^11 + 23*c_1100_0^10 + 65*c_1100_0^9 + 8*c_1100_0^8 - 12*c_1100_0^7 + 89*c_1100_0^6 + 10*c_1100_0^5 + 79*c_1100_0^4 - 49*c_1100_0^3 - 178*c_1100_0^2 + 25*c_1100_0 + 44, c_0011_0 - 1, c_0011_3 + 32*c_1100_0^11 + 27*c_1100_0^10 + 86*c_1100_0^9 + 8*c_1100_0^8 + 5*c_1100_0^7 + 100*c_1100_0^6 + 21*c_1100_0^5 + 110*c_1100_0^4 - 66*c_1100_0^3 - 187*c_1100_0^2 + 5*c_1100_0 + 40, c_0011_4 - 28*c_1100_0^11 - 22*c_1100_0^10 - 75*c_1100_0^9 - 3*c_1100_0^8 - 7*c_1100_0^7 - 86*c_1100_0^6 - 15*c_1100_0^5 - 98*c_1100_0^4 + 63*c_1100_0^3 + 156*c_1100_0^2 - 9*c_1100_0 - 32, c_0101_0 + 32*c_1100_0^11 + 28*c_1100_0^10 + 86*c_1100_0^9 + 11*c_1100_0^8 + 3*c_1100_0^7 + 103*c_1100_0^6 + 22*c_1100_0^5 + 111*c_1100_0^4 - 62*c_1100_0^3 - 191*c_1100_0^2 + 4*c_1100_0 + 41, c_0101_1 - 27*c_1100_0^11 - 22*c_1100_0^10 - 72*c_1100_0^9 - 5*c_1100_0^8 - 4*c_1100_0^7 - 85*c_1100_0^6 - 14*c_1100_0^5 - 94*c_1100_0^4 + 59*c_1100_0^3 + 155*c_1100_0^2 - 8*c_1100_0 - 33, c_1100_0^12 + 2*c_1100_0^10 - 2*c_1100_0^9 + 3*c_1100_0^7 - 2*c_1100_0^6 + 3*c_1100_0^5 - 5*c_1100_0^4 - 4*c_1100_0^3 + 5*c_1100_0^2 + c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB