Magma V2.19-8 Tue Aug 20 2013 16:16:43 on localhost [Seed = 3263389193] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1012 geometric_solution 4.89376413 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.070771681972 1.505701967445 0 1 1 0 0132 3201 2310 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 -0.337318647993 0.653799432389 4 3 5 0 0132 2031 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 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 0.410401756344 0.360086021678 2 4 0 5 1302 3201 0132 2310 0 0 0 0 0 -1 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 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 0.410401756344 0.360086021678 2 4 3 4 0132 1302 2310 2031 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 0 1 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 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603517224588 0.295052506345 3 6 6 2 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615116484730 0.810612977268 6 5 5 6 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.802432322903 0.487799226474 ==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' : negation(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' : negation(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_5']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0011_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_2, c_0011_5, c_0101_0, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 17491/614*c_0101_6^7 + 45761/614*c_0101_6^6 + 16391/307*c_0101_6^5 + 99137/307*c_0101_6^4 + 13587/614*c_0101_6^3 + 147949/614*c_0101_6^2 + 43677/614*c_0101_6 + 31681/614, c_0011_0 - 1, c_0011_2 - 87/614*c_0101_0*c_0101_6^7 + 94/307*c_0101_0*c_0101_6^6 + 230/307*c_0101_0*c_0101_6^5 + 261/307*c_0101_0*c_0101_6^4 + 177/614*c_0101_0*c_0101_6^3 - 574/307*c_0101_0*c_0101_6^2 + 901/614*c_0101_0*c_0101_6 - 403/307*c_0101_0, c_0011_5 + 85/307*c_0101_6^7 - 346/307*c_0101_6^6 + 94/307*c_0101_6^5 - 510/307*c_0101_6^4 + 1415/307*c_0101_6^3 + 3/307*c_0101_6^2 + 76/307*c_0101_6 + 177/307, c_0101_0^2 - 168/307*c_0101_6^7 + 543/307*c_0101_6^6 + 179/307*c_0101_6^5 + 1315/307*c_0101_6^4 - 1352/307*c_0101_6^3 - 89/307*c_0101_6^2 + 99/307*c_0101_6 - 339/307, c_0101_2 + 91/307*c_0101_6^7 - 179/307*c_0101_6^6 - 340/307*c_0101_6^5 - 1160/307*c_0101_6^4 - 598/307*c_0101_6^3 - 553/307*c_0101_6^2 - 92/307*c_0101_6 - 85/307, c_0101_5 + 157/307*c_0101_6^7 - 491/307*c_0101_6^6 - 202/307*c_0101_6^5 - 1249/307*c_0101_6^4 + 898/307*c_0101_6^3 - 222/307*c_0101_6^2 - 405/307*c_0101_6 + 103/307, c_0101_6^8 - 3*c_0101_6^7 - c_0101_6^6 - 10*c_0101_6^5 + 3*c_0101_6^4 - 7*c_0101_6^3 - 2*c_0101_6^2 + c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB