Magma V2.19-8 Tue Aug 20 2013 16:14:17 on localhost [Seed = 3035965588] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s264 geometric_solution 4.42650611 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 1 0132 0132 0132 1302 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 -1 1 0 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 0.783507174195 0.858959172354 0 3 0 2 0132 3012 2031 1230 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 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 0.275899506637 1.094661732982 1 0 4 4 3012 0132 3201 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 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 0.207840779191 0.454002132857 1 3 3 0 1230 3201 2310 0132 0 0 0 0 0 -1 0 1 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 1 0 -1 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 0.275899506637 1.094661732982 2 5 2 5 2310 0132 0132 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 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 -2.324095345252 2.666144546864 5 4 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.321911542825 0.074759892595 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0101_4'])})} 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_3, c_0011_4, c_0101_2, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 21758013/1968781*c_0110_5^15 + 15573857/67889*c_0110_5^13 - 6523417389/3937562*c_0110_5^11 + 19992916481/3937562*c_0110_5^9 - 22964936391/3937562*c_0110_5^7 + 3962290091/3937562*c_0110_5^5 - 2452238983/1968781*c_0110_5^3 - 1167125899/3937562*c_0110_5, c_0011_0 - 1, c_0011_3 + 221432/1968781*c_0110_5^15 - 163906/67889*c_0110_5^13 + 36069094/1968781*c_0110_5^11 - 118633410/1968781*c_0110_5^9 + 154378478/1968781*c_0110_5^7 - 45884355/1968781*c_0110_5^5 + 32568675/1968781*c_0110_5^3 - 8935/1968781*c_0110_5, c_0011_4 - 132078/1968781*c_0110_5^14 + 85552/67889*c_0110_5^12 - 15323952/1968781*c_0110_5^10 + 37709302/1968781*c_0110_5^8 - 33222696/1968781*c_0110_5^6 + 9241977/1968781*c_0110_5^4 - 2438820/1968781*c_0110_5^2 - 186879/1968781, c_0101_2 + 17288/1968781*c_0110_5^14 - 12809/67889*c_0110_5^12 + 2829773/1968781*c_0110_5^10 - 9377370/1968781*c_0110_5^8 + 12239104/1968781*c_0110_5^6 - 4128487/1968781*c_0110_5^4 + 6486007/1968781*c_0110_5^2 + 273007/1968781, c_0101_4 - 219819/1968781*c_0110_5^15 + 151955/67889*c_0110_5^13 - 30261896/1968781*c_0110_5^11 + 87079985/1968781*c_0110_5^9 - 93374127/1968781*c_0110_5^7 + 17216382/1968781*c_0110_5^5 - 18726747/1968781*c_0110_5^3 - 1431360/1968781*c_0110_5, c_0110_5^16 - 21*c_0110_5^14 + 155*c_0110_5^12 - 497*c_0110_5^10 + 648*c_0110_5^8 - 247*c_0110_5^6 + 170*c_0110_5^4 - 12*c_0110_5^2 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB