Magma V2.19-8 Tue Aug 20 2013 16:14:38 on localhost [Seed = 1696921955] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s618 geometric_solution 5.10315397 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1302 2031 0132 0132 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 1 0 -1 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 0.641955558730 0.873996772721 3 4 2 0 0132 0132 1230 0132 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 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 0.973223108511 0.825927572279 4 3 0 1 2310 3201 0132 3012 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 0 1 -1 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 0.973223108511 0.825927572279 1 5 2 5 0132 0132 2310 1023 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 -1 0 1 0 0 -1 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807306277051 0.471645983801 4 1 2 4 3012 0132 3201 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586642225945 0.754758372841 5 3 5 3 2031 0132 1302 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 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 0.591018723930 0.147702911894 ==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_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0101_4']), 'c_0101_5' : negation(d['c_0011_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), '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_0110_5'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_0101_1, c_0101_2, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 472096049/4743*c_0110_5^12 + 2058358825/4743*c_0110_5^11 - 7756716017/4743*c_0110_5^10 - 2303645891/527*c_0110_5^9 - 40982390089/4743*c_0110_5^8 + 12158429186/4743*c_0110_5^7 + 87004278541/4743*c_0110_5^6 - 55536531751/4743*c_0110_5^5 - 290498257/93*c_0110_5^4 + 36212354525/4743*c_0110_5^3 - 26142166493/4743*c_0110_5^2 + 3155787340/1581*c_0110_5 - 1310180180/4743, c_0011_0 - 1, c_0011_1 + 349510/93*c_0110_5^12 + 505413/31*c_0110_5^11 - 5779819/93*c_0110_5^10 - 15242899/93*c_0110_5^9 - 9983522/31*c_0110_5^8 + 9865246/93*c_0110_5^7 + 21553405/31*c_0110_5^6 - 42395912/93*c_0110_5^5 - 10728071/93*c_0110_5^4 + 27172364/93*c_0110_5^3 - 19753349/93*c_0110_5^2 + 7226785/93*c_0110_5 - 337083/31, c_0101_1 + 661739/93*c_0110_5^12 + 2878267/93*c_0110_5^11 - 10906424/93*c_0110_5^10 - 9654794/31*c_0110_5^9 - 57091012/93*c_0110_5^8 + 17825381/93*c_0110_5^7 + 122173606/93*c_0110_5^6 - 79013689/93*c_0110_5^5 - 6848034/31*c_0110_5^4 + 51089477/93*c_0110_5^3 - 37007954/93*c_0110_5^2 + 4489942/31*c_0110_5 - 1874456/93, c_0101_2 - 14066807/4743*c_0110_5^12 - 61421575/4743*c_0110_5^11 + 230687444/4743*c_0110_5^10 + 68780355/527*c_0110_5^9 + 1225692769/4743*c_0110_5^8 - 352232711/4743*c_0110_5^7 - 2589750268/4743*c_0110_5^6 + 1639609588/4743*c_0110_5^5 + 8715818/93*c_0110_5^4 - 1074685595/4743*c_0110_5^3 + 774185642/4743*c_0110_5^2 - 93157571/1581*c_0110_5 + 38533841/4743, c_0101_4 + 20547304/4743*c_0110_5^12 + 89344355/4743*c_0110_5^11 - 338778118/4743*c_0110_5^10 - 299652724/1581*c_0110_5^9 - 1771357442/4743*c_0110_5^8 + 556338055/4743*c_0110_5^7 + 3793871270/4743*c_0110_5^6 - 2458387328/4743*c_0110_5^5 - 12482759/93*c_0110_5^4 + 1587749473/4743*c_0110_5^3 - 1150669591/4743*c_0110_5^2 + 139715528/1581*c_0110_5 - 58387879/4743, c_0110_5^13 + 4*c_0110_5^12 - 18*c_0110_5^11 - 38*c_0110_5^10 - 71*c_0110_5^9 + 57*c_0110_5^8 + 175*c_0110_5^7 - 184*c_0110_5^6 + 11*c_0110_5^5 + 88*c_0110_5^4 - 83*c_0110_5^3 + 40*c_0110_5^2 - 10*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB