Magma V2.19-8 Tue Aug 20 2013 16:19:10 on localhost [Seed = 2017060097] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3299 geometric_solution 6.42951643 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 1 -1 -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 1 0 -1 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353134323635 2.260240515638 0 5 3 6 0132 0132 1023 0132 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 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 0.276911681905 0.516235391714 4 0 2 2 1302 0132 1230 3012 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 -1 0 1 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.151804082707 0.535702531853 5 4 1 0 2310 3012 1023 0132 0 0 0 0 0 0 1 -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 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 0.077942063499 0.904749509069 3 2 0 6 1230 2031 0132 1023 0 0 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 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 0.281100117503 0.744219529009 6 1 3 6 0321 0132 3201 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.040108108243 0.866366730195 5 5 1 4 0321 2310 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0.473650692902 0.917885297862 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1100_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_4']), '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_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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : negation(d['c_0110_2'])})} 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_0101_0, c_0101_3, c_0110_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 89960/909*c_1100_0^11 + 4991/303*c_1100_0^10 + 1613377/909*c_1100_0^9 + 2883005/909*c_1100_0^8 - 1039865/303*c_1100_0^7 - 17764046/909*c_1100_0^6 - 30133603/909*c_1100_0^5 - 2833529/101*c_1100_0^4 - 872071/101*c_1100_0^3 + 2483086/909*c_1100_0^2 + 2570920/909*c_1100_0 + 747596/909, c_0011_0 - 1, c_0011_3 - 512/909*c_1100_0^11 + 53/909*c_1100_0^10 + 9161/909*c_1100_0^9 + 17065/909*c_1100_0^8 - 5461/303*c_1100_0^7 - 34157/303*c_1100_0^6 - 179270/909*c_1100_0^5 - 52492/303*c_1100_0^4 - 5993/101*c_1100_0^3 + 4205/303*c_1100_0^2 + 15904/909*c_1100_0 + 4403/909, c_0011_4 - 41/303*c_1100_0^11 - 7/303*c_1100_0^10 + 791/303*c_1100_0^9 + 4417/909*c_1100_0^8 - 5419/909*c_1100_0^7 - 27074/909*c_1100_0^6 - 4617/101*c_1100_0^5 - 28925/909*c_1100_0^4 + 106/909*c_1100_0^3 + 2957/303*c_1100_0^2 + 414/101*c_1100_0 + 607/909, c_0101_0 - 11/101*c_1100_0^11 + 158/909*c_1100_0^10 + 1639/909*c_1100_0^9 + 737/909*c_1100_0^8 - 2018/303*c_1100_0^7 - 12349/909*c_1100_0^6 - 10390/909*c_1100_0^5 + 295/303*c_1100_0^4 + 659/101*c_1100_0^3 - 1642/909*c_1100_0^2 - 875/303*c_1100_0 - 50/101, c_0101_3 + 293/909*c_1100_0^11 - 184/909*c_1100_0^10 - 1688/303*c_1100_0^9 - 7220/909*c_1100_0^8 + 11888/909*c_1100_0^7 + 51140/909*c_1100_0^6 + 8791/101*c_1100_0^5 + 60619/909*c_1100_0^4 + 15694/909*c_1100_0^3 - 4718/909*c_1100_0^2 - 4348/909*c_1100_0 - 1285/909, c_0110_2 - 194/909*c_1100_0^11 + 329/909*c_1100_0^10 + 3122/909*c_1100_0^9 + 148/101*c_1100_0^8 - 11288/909*c_1100_0^7 - 24247/909*c_1100_0^6 - 21461/909*c_1100_0^5 + 2126/909*c_1100_0^4 + 15644/909*c_1100_0^3 + 774/101*c_1100_0^2 + 610/909*c_1100_0 - 83/909, c_1100_0^12 - 18*c_1100_0^10 - 35*c_1100_0^9 + 30*c_1100_0^8 + 204*c_1100_0^7 + 366*c_1100_0^6 + 333*c_1100_0^5 + 126*c_1100_0^4 - 18*c_1100_0^3 - 33*c_1100_0^2 - 12*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB