Magma V2.19-8 Tue Aug 20 2013 16:16:10 on localhost [Seed = 2850567533] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0433 geometric_solution 4.48561524 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 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 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 2.411088212076 0.088187263012 0 2 2 0 0132 0132 3201 3201 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 -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 -0.955675535675 0.241865209141 1 1 3 3 2310 0132 0132 3201 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 0 1 -1 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 0.382313201828 0.189034372845 4 2 5 2 0132 2310 0132 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 -1 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 0.812652135081 0.452169170900 3 6 5 5 0132 0132 3012 2310 0 0 0 0 0 0 -1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.721212617134 1.117674664979 4 4 6 3 3201 1230 1023 0132 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 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 0.721212617134 1.117674664979 6 4 5 6 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 1 -1 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 1 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.721212617134 1.117674664979 ==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_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : 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_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : 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_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 142842304/1502775*c_0101_2*c_0101_3^9 - 82313379/166975*c_0101_2*c_0101_3^8 + 423194627/1502775*c_0101_2*c_0101_3^7 + 2637739568/1502775*c_0101_2*c_0101_3^6 - 3349631152/1502775*c_0101_2*c_0101_3^5 - 1528053302/1502775*c_0101_2*c_0101_3^4 + 762901963/166975*c_0101_2*c_0101_3^3 - 85390212/33395*c_0101_2*c_0101_3^2 - 2020579291/1502775*c_0101_2*c_0101_3 + 816095176/1502775*c_0101_2, c_0011_0 - 1, c_0011_3 - 97/20037*c_0101_3^9 - 765/6679*c_0101_3^8 + 10255/20037*c_0101_3^7 + 184/20037*c_0101_3^6 - 34100/20037*c_0101_3^5 + 27452/20037*c_0101_3^4 + 8344/6679*c_0101_3^3 - 25857/6679*c_0101_3^2 + 22405/20037*c_0101_3 + 12422/20037, c_0011_5 - 25586/100185*c_0101_2*c_0101_3^9 + 42238/33395*c_0101_2*c_0101_3^8 - 54328/100185*c_0101_2*c_0101_3^7 - 453217/100185*c_0101_2*c_0101_3^6 + 490478/100185*c_0101_2*c_0101_3^5 + 284338/100185*c_0101_2*c_0101_3^4 - 344946/33395*c_0101_2*c_0101_3^3 + 33597/6679*c_0101_2*c_0101_3^2 + 267254/100185*c_0101_2*c_0101_3 - 12989/100185*c_0101_2, c_0101_0 - 36524/100185*c_0101_2*c_0101_3^9 + 61117/33395*c_0101_2*c_0101_3^8 - 81367/100185*c_0101_2*c_0101_3^7 - 675598/100185*c_0101_2*c_0101_3^6 + 752642/100185*c_0101_2*c_0101_3^5 + 476812/100185*c_0101_2*c_0101_3^4 - 561654/33395*c_0101_2*c_0101_3^3 + 49279/6679*c_0101_2*c_0101_3^2 + 625166/100185*c_0101_2*c_0101_3 - 161501/100185*c_0101_2, c_0101_1 + 3622/20037*c_0101_3^9 - 6138/6679*c_0101_3^8 + 6455/20037*c_0101_3^7 + 72038/20037*c_0101_3^6 - 67732/20037*c_0101_3^5 - 59156/20037*c_0101_3^4 + 57362/6679*c_0101_3^3 - 16445/6679*c_0101_3^2 - 83464/20037*c_0101_3 + 1762/20037, c_0101_2^2 + 1030/20037*c_0101_3^9 - 2756/6679*c_0101_3^8 + 10709/20037*c_0101_3^7 + 26759/20037*c_0101_3^6 - 48769/20037*c_0101_3^5 + 172/20037*c_0101_3^4 + 27214/6679*c_0101_3^3 - 25027/6679*c_0101_3^2 - 19774/20037*c_0101_3 - 4865/20037, c_0101_3^10 - 5*c_0101_3^9 + 2*c_0101_3^8 + 19*c_0101_3^7 - 20*c_0101_3^6 - 15*c_0101_3^5 + 46*c_0101_3^4 - 18*c_0101_3^3 - 19*c_0101_3^2 + 3*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB