Magma V2.19-8 Tue Aug 20 2013 16:16:54 on localhost [Seed = 4038159405] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1164 geometric_solution 5.04043437 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 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 -1 1 0 0 0 -1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769994851025 0.058390648018 0 2 0 2 0132 0132 1023 1023 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 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 0 0 0 0 0 0.633457649436 0.154967256124 3 1 4 1 0132 0132 0132 1023 0 0 0 0 0 0 0 0 -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 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 0 0 0 0 0 0.193760618156 1.346288905231 2 5 6 4 0132 0132 0132 1230 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 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 1.204657232103 1.421503726200 3 6 5 2 3012 1023 3201 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 1 0 -1 -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 1.204657232103 1.421503726200 4 3 5 5 2310 0132 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 0.299762509229 0.535760858140 4 6 6 3 1023 1230 3012 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 -1 0 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 0.882314139944 0.674769729554 ==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' : negation(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' : negation(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_4'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], '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_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, c_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 930432/168799*c_0101_5^11 - 2821146/168799*c_0101_5^10 + 2590641/168799*c_0101_5^9 + 8424431/168799*c_0101_5^8 + 18991788/168799*c_0101_5^7 + 3259259/168799*c_0101_5^6 - 20713610/168799*c_0101_5^5 - 3004317/168799*c_0101_5^4 - 3187523/168799*c_0101_5^3 - 3696150/168799*c_0101_5^2 + 4438302/168799*c_0101_5 + 1263132/168799, c_0011_0 - 1, c_0011_4 + 91239/168799*c_0101_3*c_0101_5^11 + 221688/168799*c_0101_3*c_0101_5^10 - 357370/168799*c_0101_3*c_0101_5^9 - 518467/168799*c_0101_3*c_0101_5^8 - 1617302/168799*c_0101_3*c_0101_5^7 + 419108/168799*c_0101_3*c_0101_5^6 + 1111719/168799*c_0101_3*c_0101_5^5 - 601485/168799*c_0101_3*c_0101_5^4 + 1056287/168799*c_0101_3*c_0101_5^3 - 145988/168799*c_0101_3*c_0101_5^2 + 4117/168799*c_0101_3*c_0101_5 - 72022/168799*c_0101_3, c_0101_0 - 178454/168799*c_0101_3*c_0101_5^11 - 592929/168799*c_0101_3*c_0101_5^10 + 291827/168799*c_0101_3*c_0101_5^9 + 1620043/168799*c_0101_3*c_0101_5^8 + 4216761/168799*c_0101_3*c_0101_5^7 + 1968115/168799*c_0101_3*c_0101_5^6 - 2764479/168799*c_0101_3*c_0101_5^5 - 1325666/168799*c_0101_3*c_0101_5^4 - 905972/168799*c_0101_3*c_0101_5^3 - 569621/168799*c_0101_3*c_0101_5^2 + 12254/168799*c_0101_3*c_0101_5 + 216136/168799*c_0101_3, c_0101_1 - 94870/168799*c_0101_3*c_0101_5^11 - 261958/168799*c_0101_3*c_0101_5^10 + 255696/168799*c_0101_3*c_0101_5^9 + 496900/168799*c_0101_3*c_0101_5^8 + 1824946/168799*c_0101_3*c_0101_5^7 + 550253/168799*c_0101_3*c_0101_5^6 - 160118/168799*c_0101_3*c_0101_5^5 + 1447366/168799*c_0101_3*c_0101_5^4 - 1298955/168799*c_0101_3*c_0101_5^3 - 495623/168799*c_0101_3*c_0101_5^2 - 101802/168799*c_0101_3*c_0101_5 - 283142/168799*c_0101_3, c_0101_3^2 - 22134/168799*c_0101_5^11 - 74821/168799*c_0101_5^10 + 45180/168799*c_0101_5^9 + 241832/168799*c_0101_5^8 + 506704/168799*c_0101_5^7 + 197240/168799*c_0101_5^6 - 644375/168799*c_0101_5^5 - 374728/168799*c_0101_5^4 + 65215/168799*c_0101_5^3 + 61080/168799*c_0101_5^2 + 60803/168799*c_0101_5 - 59615/168799, c_0101_4 - 39210/168799*c_0101_5^11 - 138035/168799*c_0101_5^10 + 54686/168799*c_0101_5^9 + 402228/168799*c_0101_5^8 + 924477/168799*c_0101_5^7 + 567670/168799*c_0101_5^6 - 783951/168799*c_0101_5^5 - 272324/168799*c_0101_5^4 - 271626/168799*c_0101_5^3 - 496802/168799*c_0101_5^2 + 250383/168799*c_0101_5 - 19217/168799, c_0101_5^12 + 3*c_0101_5^11 - 3*c_0101_5^10 - 9*c_0101_5^9 - 19*c_0101_5^8 - 3*c_0101_5^7 + 23*c_0101_5^6 - 3*c_0101_5^5 + 2*c_0101_5^4 + 7*c_0101_5^3 - 7*c_0101_5^2 + 2*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB