Magma V2.19-8 Tue Aug 20 2013 16:17:28 on localhost [Seed = 290491851] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1698 geometric_solution 5.41125730 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 -0.165555103105 1.486548059857 0 2 5 4 0132 2310 0132 1230 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326185476667 0.305712947345 2 0 2 1 2031 0132 1302 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 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 0.367908701879 1.529655600195 4 5 6 0 1230 2103 0132 0132 0 0 0 0 0 0 1 -1 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 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.876787670302 0.753033139272 1 3 0 6 3012 3012 0132 3201 0 0 0 0 0 -1 1 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 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 -1.264576625350 1.178718531181 5 3 5 1 2031 2103 1302 0132 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 -1 1 0 -1 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 0.367908701879 1.529655600195 6 4 6 3 2031 2310 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396609995967 0.246604524858 ==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_6']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : d['c_0011_5'], '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' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0011_3'])})} 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_5, c_0011_6, c_0101_3, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - c_1001_0^4 + 5*c_1001_0^3 - 5*c_1001_0^2 - 7*c_1001_0 + 10, c_0011_0 - 1, c_0011_3 - c_1001_0^4 + 3*c_1001_0^3 - 3*c_1001_0, c_0011_4 + 1, c_0011_5 - 1, c_0011_6 - c_1001_0^3 + 2*c_1001_0^2 + c_1001_0 - 1, c_0101_3 + c_1001_0, c_1001_0^5 - 4*c_1001_0^4 + 2*c_1001_0^3 + 5*c_1001_0^2 - 2*c_1001_0 - 1 ], 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_5, c_0011_6, c_0101_3, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1167613/192*c_1001_0^9 + 9082027/192*c_1001_0^8 - 14042387/96*c_1001_0^7 + 4809619/32*c_1001_0^6 + 51122603/192*c_1001_0^5 - 8911157/12*c_1001_0^4 - 2613097/48*c_1001_0^3 + 5966323/3*c_1001_0^2 + 7429165/4*c_1001_0 + 1499413/3, c_0011_0 - 1, c_0011_3 - 17/4*c_1001_0^9 + 265/8*c_1001_0^8 - 411/4*c_1001_0^7 + 853/8*c_1001_0^6 + 739/4*c_1001_0^5 - 4187/8*c_1001_0^4 - 213/8*c_1001_0^3 + 1388*c_1001_0^2 + 2545/2*c_1001_0 + 336, c_0011_4 + 1/32*c_1001_0^9 - 7/32*c_1001_0^8 + 9/16*c_1001_0^7 - 3/16*c_1001_0^6 - 63/32*c_1001_0^5 + 11/4*c_1001_0^4 + 13/4*c_1001_0^3 - 10*c_1001_0^2 - 35/2*c_1001_0 - 8, c_0011_5 + c_1001_0 + 1, c_0011_6 + 11/8*c_1001_0^9 - 21/2*c_1001_0^8 + 251/8*c_1001_0^7 - 111/4*c_1001_0^6 - 565/8*c_1001_0^5 + 1349/8*c_1001_0^4 + 36*c_1001_0^3 - 1881/4*c_1001_0^2 - 465*c_1001_0 - 129, c_0101_3 + 3/16*c_1001_0^9 - 11/8*c_1001_0^8 + 61/16*c_1001_0^7 - 9/4*c_1001_0^6 - 183/16*c_1001_0^5 + 327/16*c_1001_0^4 + 14*c_1001_0^3 - 133/2*c_1001_0^2 - 84*c_1001_0 - 28, c_1001_0^10 - 7*c_1001_0^9 + 18*c_1001_0^8 - 6*c_1001_0^7 - 63*c_1001_0^6 + 88*c_1001_0^5 + 104*c_1001_0^4 - 320*c_1001_0^3 - 560*c_1001_0^2 - 320*c_1001_0 - 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB