Magma V2.19-8 Tue Aug 20 2013 16:19:01 on localhost [Seed = 2766485965] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3166 geometric_solution 6.31675710 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482285506661 1.110071158299 0 5 6 2 0132 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612496406776 0.556816353572 5 0 1 6 3201 0132 2031 0132 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 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 0.612496406776 0.556816353572 4 4 6 0 1302 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.367491266337 1.127470738608 3 3 0 6 1302 2031 0132 2310 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 0 0 0 0 0 0 0 0 0 0 -0.367491266337 1.127470738608 5 1 5 2 2031 0132 1302 2310 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 0.381057056315 1.231637957251 4 3 2 1 3201 3201 0132 0132 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 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 0.128398120655 0.573346143510 ==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_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' : d['c_0101_2'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], '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_0101_2']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0101_2']), '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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 19316/217*c_0101_6^10 - 30165/217*c_0101_6^9 - 5570/217*c_0101_6^8 + 118838/217*c_0101_6^7 + 218231/217*c_0101_6^6 + 171639/217*c_0101_6^5 - 98655/217*c_0101_6^4 - 364802/217*c_0101_6^3 - 56624/31*c_0101_6^2 - 204957/217*c_0101_6 - 39008/217, c_0011_0 - 1, c_0011_3 - 7*c_0101_6^10 - 10*c_0101_6^9 - c_0101_6^8 + 43*c_0101_6^7 + 73*c_0101_6^6 + 54*c_0101_6^5 - 41*c_0101_6^4 - 124*c_0101_6^3 - 128*c_0101_6^2 - 60*c_0101_6 - 10, c_0011_4 - 7*c_0101_6^10 - 10*c_0101_6^9 - c_0101_6^8 + 43*c_0101_6^7 + 73*c_0101_6^6 + 54*c_0101_6^5 - 41*c_0101_6^4 - 124*c_0101_6^3 - 128*c_0101_6^2 - 60*c_0101_6 - 10, c_0011_6 + 10*c_0101_6^10 + 13*c_0101_6^9 + c_0101_6^8 - 60*c_0101_6^7 - 98*c_0101_6^6 - 72*c_0101_6^5 + 58*c_0101_6^4 + 168*c_0101_6^3 + 172*c_0101_6^2 + 81*c_0101_6 + 14, c_0101_0 + 5*c_0101_6^10 + 6*c_0101_6^9 - 30*c_0101_6^7 - 46*c_0101_6^6 - 32*c_0101_6^5 + 31*c_0101_6^4 + 80*c_0101_6^3 + 79*c_0101_6^2 + 35*c_0101_6 + 6, c_0101_2 + 4*c_0101_6^10 + 5*c_0101_6^9 - 24*c_0101_6^7 - 38*c_0101_6^6 - 26*c_0101_6^5 + 25*c_0101_6^4 + 66*c_0101_6^3 + 64*c_0101_6^2 + 28*c_0101_6 + 4, c_0101_6^11 + 2*c_0101_6^10 + c_0101_6^9 - 6*c_0101_6^8 - 14*c_0101_6^7 - 14*c_0101_6^6 + c_0101_6^5 + 21*c_0101_6^4 + 29*c_0101_6^3 + 20*c_0101_6^2 + 7*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB