Magma V2.19-8 Tue Aug 20 2013 16:17:33 on localhost [Seed = 1663238079] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1791 geometric_solution 5.46570796 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3012 0132 3201 1230 0 0 0 0 0 -1 0 1 -1 0 0 1 -1 0 0 1 -1 0 1 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 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.330671306199 0.120905586438 0 0 2 2 2310 0132 2310 0132 0 0 0 0 0 1 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 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 1.922181509792 0.907623838466 3 1 1 4 0132 3201 0132 0132 0 0 0 0 0 0 1 -1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921964668462 0.444800241059 2 5 6 4 0132 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0.505836534471 0.645833667201 6 3 2 5 2310 1302 0132 0132 0 0 0 0 0 0 1 -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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505836534471 0.645833667201 5 3 4 5 3012 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0.505836534471 0.645833667201 6 6 4 3 1230 3012 3201 0132 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 -1 1 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 0.248353956849 0.959674296743 ==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_0011_4']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0101_0']), 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 87*c_0101_5^20 + 2161*c_0101_5^18 - 508*c_0101_5^16 - 41952*c_0101_5^14 - 85563*c_0101_5^12 - 3537*c_0101_5^10 + 119453*c_0101_5^8 + 68871*c_0101_5^6 - 36839*c_0101_5^4 - 26725*c_0101_5^2 + 2536, c_0011_0 - 1, c_0011_2 - 354*c_0101_5^20 + 9265*c_0101_5^18 - 14400*c_0101_5^16 - 152018*c_0101_5^14 - 144524*c_0101_5^12 + 186228*c_0101_5^10 + 243655*c_0101_5^8 - 54911*c_0101_5^6 - 86887*c_0101_5^4 + 10504*c_0101_5^2 - 302, c_0011_4 + 3402*c_0101_5^20 - 89208*c_0101_5^18 + 143046*c_0101_5^16 + 1448085*c_0101_5^14 + 1332279*c_0101_5^12 - 1786789*c_0101_5^10 - 2255624*c_0101_5^8 + 534878*c_0101_5^6 + 799181*c_0101_5^4 - 96833*c_0101_5^2 + 2782, c_0011_6 - 3048*c_0101_5^20 + 79943*c_0101_5^18 - 128646*c_0101_5^16 - 1296067*c_0101_5^14 - 1187755*c_0101_5^12 + 1600561*c_0101_5^10 + 2011969*c_0101_5^8 - 479967*c_0101_5^6 - 712294*c_0101_5^4 + 86329*c_0101_5^2 - 2480, c_0101_0 - 10385*c_0101_5^21 + 272866*c_0101_5^19 - 451762*c_0101_5^17 - 4377519*c_0101_5^15 - 3890041*c_0101_5^13 + 5435959*c_0101_5^11 + 6621084*c_0101_5^9 - 1647982*c_0101_5^7 - 2332211*c_0101_5^5 + 283118*c_0101_5^3 - 8132*c_0101_5, c_0101_1 - 12*c_0101_5^20 + 313*c_0101_5^18 - 459*c_0101_5^16 - 5229*c_0101_5^14 - 5274*c_0101_5^12 + 6297*c_0101_5^10 + 8846*c_0101_5^8 - 1786*c_0101_5^6 - 3204*c_0101_5^4 + 389*c_0101_5^2 - 12, c_0101_5^22 - 25*c_0101_5^20 + 10*c_0101_5^18 + 477*c_0101_5^16 + 912*c_0101_5^14 - 46*c_0101_5^12 - 1305*c_0101_5^10 - 654*c_0101_5^8 + 427*c_0101_5^6 + 259*c_0101_5^4 - 34*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB