Magma V2.19-8 Tue Aug 20 2013 16:18:14 on localhost [Seed = 1511769955] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2445 geometric_solution 5.78975522 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.522530200431 0.437315102056 0 0 3 2 0132 3201 0132 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 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 1.504907013451 3.062090807744 4 3 1 5 0132 2031 0132 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 -1 0 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 0.203246694595 0.847140811525 2 4 6 1 1302 3201 0132 0132 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 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 0.203246694595 0.847140811525 2 5 3 6 0132 1302 2310 1302 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 0 0 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.370891194359 1.018727030333 6 6 2 4 1302 1023 0132 2031 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 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485704290415 0.650896694112 5 5 4 3 1023 2031 2031 0132 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485704290415 0.650896694112 ==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' : negation(d['c_1010_4']), 'c_1100_5' : negation(d['c_1010_4']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1010_4']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_1010_4']), 'c_1100_2' : negation(d['c_1010_4']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_0'], '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_2']), 'c_0011_6' : 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_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_1010_4'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_3, c_0011_5, c_0101_0, c_0101_1, c_1010_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 49423960/824201*c_1010_4^11 + 76442911/824201*c_1010_4^10 - 283576259/824201*c_1010_4^9 - 612980542/824201*c_1010_4^8 + 91471829/824201*c_1010_4^7 + 1250223928/824201*c_1010_4^6 + 2035952843/824201*c_1010_4^5 + 779776451/824201*c_1010_4^4 - 3648968287/824201*c_1010_4^3 - 4343927676/824201*c_1010_4^2 + 695144973/824201*c_1010_4 + 1915484019/824201, c_0011_0 - 1, c_0011_2 - 13955/43379*c_1010_4^11 - 4890/43379*c_1010_4^10 + 82109/43379*c_1010_4^9 + 11022/6197*c_1010_4^8 - 89224/43379*c_1010_4^7 - 244585/43379*c_1010_4^6 - 347985/43379*c_1010_4^5 + 128564/43379*c_1010_4^4 + 832808/43379*c_1010_4^3 + 381400/43379*c_1010_4^2 - 45542/6197*c_1010_4 - 176236/43379, c_0011_3 - 13955/43379*c_1010_4^11 - 4890/43379*c_1010_4^10 + 82109/43379*c_1010_4^9 + 11022/6197*c_1010_4^8 - 89224/43379*c_1010_4^7 - 244585/43379*c_1010_4^6 - 347985/43379*c_1010_4^5 + 128564/43379*c_1010_4^4 + 832808/43379*c_1010_4^3 + 381400/43379*c_1010_4^2 - 45542/6197*c_1010_4 - 176236/43379, c_0011_5 - 6572/43379*c_1010_4^11 - 9841/43379*c_1010_4^10 + 42548/43379*c_1010_4^9 + 10008/6197*c_1010_4^8 - 31895/43379*c_1010_4^7 - 139556/43379*c_1010_4^6 - 241904/43379*c_1010_4^5 - 59168/43379*c_1010_4^4 + 511496/43379*c_1010_4^3 + 388679/43379*c_1010_4^2 - 23807/6197*c_1010_4 - 128869/43379, c_0101_0 - 442/6197*c_1010_4^11 - 15/6197*c_1010_4^10 + 2590/6197*c_1010_4^9 + 921/6197*c_1010_4^8 - 2973/6197*c_1010_4^7 - 4343/6197*c_1010_4^6 - 8424/6197*c_1010_4^5 + 5831/6197*c_1010_4^4 + 19853/6197*c_1010_4^3 - 769/6197*c_1010_4^2 - 3259/6197*c_1010_4 + 2767/6197, c_0101_1 + 23229/43379*c_1010_4^11 + 3131/6197*c_1010_4^10 - 142565/43379*c_1010_4^9 - 196780/43379*c_1010_4^8 + 128750/43379*c_1010_4^7 + 467641/43379*c_1010_4^6 + 728873/43379*c_1010_4^5 + 30339/43379*c_1010_4^4 - 227892/6197*c_1010_4^3 - 158423/6197*c_1010_4^2 + 552418/43379*c_1010_4 + 409382/43379, c_1010_4^12 + 2*c_1010_4^11 - 5*c_1010_4^10 - 15*c_1010_4^9 - 4*c_1010_4^8 + 26*c_1010_4^7 + 53*c_1010_4^6 + 35*c_1010_4^5 - 66*c_1010_4^4 - 122*c_1010_4^3 - 28*c_1010_4^2 + 45*c_1010_4 + 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB