Magma V2.19-8 Tue Aug 20 2013 16:14:44 on localhost [Seed = 2648441220] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s720 geometric_solution 5.23121875 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 1 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 0.411226356074 0.787178739321 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 0 0 -1 0 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 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 0.898462270076 1.038134801386 1 3 0 4 1230 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.898462270076 1.038134801386 1 5 5 2 0132 0132 3201 3201 0 0 0 0 0 0 0 0 1 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 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 0.569699781142 0.327455433661 2 4 4 1 3201 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 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 0.330983637100 0.585005191805 3 3 5 5 2310 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 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 1.501740913175 0.755744921718 ==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_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_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_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 909569/775*c_0101_5^11 - 539699/775*c_0101_5^10 - 7503847/775*c_0101_5^9 + 3329498/775*c_0101_5^8 + 3918589/155*c_0101_5^7 - 12126743/775*c_0101_5^6 - 12275917/775*c_0101_5^5 + 38844902/775*c_0101_5^4 - 5225627/775*c_0101_5^3 - 54175168/775*c_0101_5^2 - 1623096/155*c_0101_5 + 11400979/775, c_0011_0 - 1, c_0011_1 - 94*c_0101_5^11 + 56*c_0101_5^10 + 775*c_0101_5^9 - 345*c_0101_5^8 - 2023*c_0101_5^7 + 1254*c_0101_5^6 + 1267*c_0101_5^5 - 4013*c_0101_5^4 + 543*c_0101_5^3 + 5596*c_0101_5^2 + 833*c_0101_5 - 1178, c_0011_4 + 50*c_0101_5^11 - 31*c_0101_5^10 - 410*c_0101_5^9 + 191*c_0101_5^8 + 1062*c_0101_5^7 - 677*c_0101_5^6 - 644*c_0101_5^5 + 2115*c_0101_5^4 - 319*c_0101_5^3 - 2930*c_0101_5^2 - 424*c_0101_5 + 613, c_0101_0 + 48*c_0101_5^11 - 28*c_0101_5^10 - 397*c_0101_5^9 + 173*c_0101_5^8 + 1040*c_0101_5^7 - 637*c_0101_5^6 - 660*c_0101_5^5 + 2059*c_0101_5^4 - 265*c_0101_5^3 - 2879*c_0101_5^2 - 434*c_0101_5 + 608, c_0101_1 + 110*c_0101_5^11 - 67*c_0101_5^10 - 904*c_0101_5^9 + 412*c_0101_5^8 + 2350*c_0101_5^7 - 1476*c_0101_5^6 - 1449*c_0101_5^5 + 4670*c_0101_5^4 - 665*c_0101_5^3 - 6497*c_0101_5^2 - 956*c_0101_5 + 1365, c_0101_5^12 - c_0101_5^11 - 8*c_0101_5^10 + 7*c_0101_5^9 + 20*c_0101_5^8 - 22*c_0101_5^7 - 8*c_0101_5^6 + 48*c_0101_5^5 - 23*c_0101_5^4 - 57*c_0101_5^3 + 15*c_0101_5^2 + 16*c_0101_5 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB