Magma V2.19-8 Tue Aug 20 2013 16:16:45 on localhost [Seed = 155751877] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1030 geometric_solution 4.91210518 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 3201 0 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 0 0 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 0.576597761993 0.371219938422 0 3 0 3 0132 0132 2310 2310 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.226101422850 0.789377491020 4 0 5 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 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 0 -1 1 0 0 1 -1 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.197300815157 0.418157552598 1 1 4 5 3201 0132 1230 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.922900753196 1.955987459762 2 4 4 3 0132 1230 3012 3012 0 0 0 0 0 -1 1 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.036914508991 0.646405147718 3 6 6 2 3012 0132 1023 0132 0 0 0 0 0 -1 0 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 -1 0 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 0.940783363746 0.409746148723 6 5 5 6 3012 0132 1023 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 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 1.504972932047 0.385303318020 ==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' : 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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_2'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : negation(d['c_0101_5'])})} 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_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 3651060715/4104333722*c_0101_6^10 - 7728355365/4104333722*c_0101_6^9 - 39019724233/4104333722*c_0101_6^8 + 56717971957/2052166861*c_0101_6^7 - 37318913453/4104333722*c_0101_6^6 + 26706060959/2052166861*c_0101_6^5 - 65475268243/4104333722*c_0101_6^4 + 14650627303/4104333722*c_0101_6^3 - 46681142081/2052166861*c_0101_6^2 - 40391601811/4104333722*c_0101_6 - 3025706133/2052166861, c_0011_0 - 1, c_0011_2 + 18271521/66198931*c_0101_6^10 - 37618680/66198931*c_0101_6^9 - 197467307/66198931*c_0101_6^8 + 555926786/66198931*c_0101_6^7 - 154108748/66198931*c_0101_6^6 + 264523994/66198931*c_0101_6^5 - 319388555/66198931*c_0101_6^4 + 24899923/66198931*c_0101_6^3 - 447162079/66198931*c_0101_6^2 - 235152220/66198931*c_0101_6 - 64700902/66198931, c_0101_0 - 3652640/66198931*c_0101_6^10 + 297151/66198931*c_0101_6^9 + 55380175/66198931*c_0101_6^8 - 34602658/66198931*c_0101_6^7 - 203155478/66198931*c_0101_6^6 + 35072463/66198931*c_0101_6^5 - 6443513/66198931*c_0101_6^4 + 98731609/66198931*c_0101_6^3 + 19395073/66198931*c_0101_6^2 + 203394398/66198931*c_0101_6 + 69949499/66198931, c_0101_1 + 1, c_0101_2 - 2123227/66198931*c_0101_6^10 - 2315403/66198931*c_0101_6^9 + 38439713/66198931*c_0101_6^8 + 2358965/66198931*c_0101_6^7 - 202057087/66198931*c_0101_6^6 + 98887051/66198931*c_0101_6^5 - 115910195/66198931*c_0101_6^4 + 121535105/66198931*c_0101_6^3 + 48905145/66198931*c_0101_6^2 + 179588608/66198931*c_0101_6 - 9792579/66198931, c_0101_5 - 23750237/66198931*c_0101_6^10 + 50207261/66198931*c_0101_6^9 + 255503387/66198931*c_0101_6^8 - 744036481/66198931*c_0101_6^7 + 230458642/66198931*c_0101_6^6 - 258289879/66198931*c_0101_6^5 + 308653482/66198931*c_0101_6^4 - 70364714/66198931*c_0101_6^3 + 562730658/66198931*c_0101_6^2 + 270338009/66198931*c_0101_6 + 54810395/66198931, c_0101_6^11 - 2*c_0101_6^10 - 11*c_0101_6^9 + 30*c_0101_6^8 - 6*c_0101_6^7 + 11*c_0101_6^6 - 14*c_0101_6^5 - 24*c_0101_6^3 - 14*c_0101_6^2 - 3*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB