Magma V2.19-8 Tue Aug 20 2013 16:14:10 on localhost [Seed = 54697765] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s121 geometric_solution 4.07386944 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 1 0 0 -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 1 0 -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 1.880149465928 0.432472504984 0 2 3 0 0132 0132 0132 3201 0 0 0 0 0 0 -1 1 -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 -1 0 1 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 0.550121371273 1.015586756404 3 1 4 3 2310 0132 0132 3201 0 0 0 0 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 1 0 -1 1 0 0 -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 -0.233166769980 0.578080534574 4 2 2 1 1023 2310 3201 0132 0 0 0 0 0 -1 0 1 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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.233166769980 0.578080534574 5 3 5 2 0132 1023 2310 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 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 1.419686786933 1.882542967067 4 4 5 5 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400476856715 0.232234600126 ==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_0101_2'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], '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_3'], '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 137/40*c_0101_4^9 - 427/10*c_0101_4^8 - 2321/20*c_0101_4^7 - 6*c_0101_4^6 + 7377/20*c_0101_4^5 + 14153/20*c_0101_4^4 + 7275/8*c_0101_4^3 + 31571/40*c_0101_4^2 + 12923/40*c_0101_4 + 1711/40, c_0011_0 - 1, c_0011_3 - 187/4*c_0101_4^9 - 3935/8*c_0101_4^8 - 653*c_0101_4^7 + 7349/8*c_0101_4^6 + 23399/8*c_0101_4^5 + 4541*c_0101_4^4 + 41023/8*c_0101_4^3 + 12301/4*c_0101_4^2 + 7033/8*c_0101_4 + 801/8, c_0101_0 - 257/8*c_0101_4^9 - 1361/4*c_0101_4^8 - 1885/4*c_0101_4^7 + 2445/4*c_0101_4^6 + 2064*c_0101_4^5 + 12937/4*c_0101_4^4 + 29481/8*c_0101_4^3 + 18219/8*c_0101_4^2 + 5345/8*c_0101_4 + 613/8, c_0101_1 - 171/8*c_0101_4^9 - 901/4*c_0101_4^8 - 2415/8*c_0101_4^7 + 3353/8*c_0101_4^6 + 5385/4*c_0101_4^5 + 16705/8*c_0101_4^4 + 9449/4*c_0101_4^3 + 11363/8*c_0101_4^2 + 3225/8*c_0101_4 + 183/4, c_0101_2 - 195/8*c_0101_4^9 - 2053/8*c_0101_4^8 - 2737/8*c_0101_4^7 + 955/2*c_0101_4^6 + 12229/8*c_0101_4^5 + 19007/8*c_0101_4^4 + 21493/8*c_0101_4^3 + 12927/8*c_0101_4^2 + 464*c_0101_4 + 427/8, c_0101_4^10 + 11*c_0101_4^9 + 19*c_0101_4^8 - 13*c_0101_4^7 - 72*c_0101_4^6 - 127*c_0101_4^5 - 156*c_0101_4^4 - 118*c_0101_4^3 - 50*c_0101_4^2 - 11*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB