Magma V2.19-8 Tue Aug 20 2013 16:19:19 on localhost [Seed = 1014866226] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3431 geometric_solution 6.60043526 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475665489908 0.561117400959 0 2 5 4 0132 3012 0132 2310 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.110965056172 0.951402143938 1 0 4 5 1230 0132 1230 3201 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 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 0.889034943828 0.951402143938 5 6 4 0 0213 0132 3012 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 -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 0.264006619215 0.933706795480 1 3 0 2 3201 1230 0132 3012 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 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 -0.110965056172 0.951402143938 3 2 6 1 0213 2310 2031 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 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 0.719591703640 0.991714270647 6 3 6 5 2031 0132 1302 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 0.282853632636 1.176004987522 ==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' : 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' : d['c_0011_3'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_1001_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_1001_2']), 'c_1100_3' : negation(d['c_1001_2']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_0110_6']), 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : d['c_0011_5'], 'c_1010_0' : d['c_1001_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_0011_5, c_0101_0, c_0110_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + c_0110_6^3 + 2*c_0110_6^2 + 2*c_0110_6 + 2, c_0011_0 - 1, c_0011_3 - c_0110_6^5 - 3*c_0110_6^4 - 4*c_0110_6^3 - 3*c_0110_6^2, c_0011_4 - c_0110_6^4 - 2*c_0110_6^3 - c_0110_6^2 - c_0110_6 + 1, c_0011_5 + c_0110_6^5 + 3*c_0110_6^4 + 3*c_0110_6^3 + 2*c_0110_6^2, c_0101_0 - c_0110_6^5 - 3*c_0110_6^4 - 3*c_0110_6^3 - 2*c_0110_6^2, c_0110_6^6 + 4*c_0110_6^5 + 6*c_0110_6^4 + 5*c_0110_6^3 + 2*c_0110_6^2 + 1, c_1001_2 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0110_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 36051387005/1856332673*c_1001_2^11 + 181262350992/1856332673*c_1001_2^10 - 292544737209/1856332673*c_1001_2^9 - 681209217440/1856332673*c_1001_2^8 - 1344381736716/1856332673*c_1001_2^7 + 9753123084345/1856332673*c_1001_2^6 + 22013162017942/1856332673*c_1001_2^5 + 8849548371100/1856332673*c_1001_2^4 - 2233497082685/1856332673*c_1001_2^3 - 1080579730825/1856332673*c_1001_2^2 - 449161634160/1856332673*c_1001_2 + 166009351368/1856332673, c_0011_0 - 1, c_0011_3 + 1946696/10984217*c_1001_2^11 - 8771464/10984217*c_1001_2^10 + 10738586/10984217*c_1001_2^9 + 45141176/10984217*c_1001_2^8 + 90102859/10984217*c_1001_2^7 - 483206600/10984217*c_1001_2^6 - 1458533751/10984217*c_1001_2^5 - 1099294231/10984217*c_1001_2^4 - 268255859/10984217*c_1001_2^3 - 41461785/10984217*c_1001_2^2 + 25741073/10984217*c_1001_2 - 6216851/10984217, c_0011_4 + 292802/10984217*c_1001_2^11 - 1220141/10984217*c_1001_2^10 + 1023200/10984217*c_1001_2^9 + 8248459/10984217*c_1001_2^8 + 13628463/10984217*c_1001_2^7 - 68567037/10984217*c_1001_2^6 - 247880059/10984217*c_1001_2^5 - 193902285/10984217*c_1001_2^4 - 61670014/10984217*c_1001_2^3 - 57482532/10984217*c_1001_2^2 - 15424002/10984217*c_1001_2 - 2875968/10984217, c_0011_5 + 581456/10984217*c_1001_2^11 - 2530037/10984217*c_1001_2^10 + 2993419/10984217*c_1001_2^9 + 12833567/10984217*c_1001_2^8 + 31722709/10984217*c_1001_2^7 - 139516175/10984217*c_1001_2^6 - 450913283/10984217*c_1001_2^5 - 453262405/10984217*c_1001_2^4 - 188542322/10984217*c_1001_2^3 - 30992137/10984217*c_1001_2^2 - 12187743/10984217*c_1001_2 - 2528243/10984217, c_0101_0 - 328310/10984217*c_1001_2^11 + 1757304/10984217*c_1001_2^10 - 3447924/10984217*c_1001_2^9 - 3880909/10984217*c_1001_2^8 - 13463727/10984217*c_1001_2^7 + 90809119/10984217*c_1001_2^6 + 164109229/10984217*c_1001_2^5 + 89531855/10984217*c_1001_2^4 + 43415557/10984217*c_1001_2^3 - 22876723/10984217*c_1001_2^2 - 14391081/10984217*c_1001_2 - 2001710/10984217, c_0110_6 - 172991/10984217*c_1001_2^11 + 1246710/10984217*c_1001_2^10 - 3577140/10984217*c_1001_2^9 + 1371652/10984217*c_1001_2^8 - 2681750/10984217*c_1001_2^7 + 58142980/10984217*c_1001_2^6 - 5755239/10984217*c_1001_2^5 - 106294529/10984217*c_1001_2^4 + 10624465/10984217*c_1001_2^3 + 29796787/10984217*c_1001_2^2 + 6455787/10984217*c_1001_2 + 5080232/10984217, c_1001_2^12 - 5*c_1001_2^11 + 8*c_1001_2^10 + 19*c_1001_2^9 + 38*c_1001_2^8 - 269*c_1001_2^7 - 617*c_1001_2^6 - 269*c_1001_2^5 + 38*c_1001_2^4 + 19*c_1001_2^3 + 8*c_1001_2^2 - 5*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB