Magma V2.19-8 Tue Aug 20 2013 16:14:31 on localhost [Seed = 2210537347] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s509 geometric_solution 4.89715709 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 1 -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 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 1.031020830422 0.815668877137 0 5 2 5 0132 0132 2031 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.319402395964 0.459092322305 3 0 4 1 0213 0132 2031 1302 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 -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 0.403454784215 0.471943293446 2 3 3 0 0213 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.346315063191 0.662824651742 4 4 0 2 1230 3012 0132 1302 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 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 0.690501937619 0.770397757393 5 1 5 1 2310 0132 3201 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.815038445121 0.445840981507 ==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' : negation(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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_1_5' : negation(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_4' : d['1'], 's_0_5' : negation(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_0']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], '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' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : negation(d['c_0011_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_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 33347/1136*c_0101_5^13 - 224831/2272*c_0101_5^12 - 125509/568*c_0101_5^11 + 971585/1136*c_0101_5^10 + 751305/2272*c_0101_5^9 - 5571073/2272*c_0101_5^8 + 1447313/2272*c_0101_5^7 + 3221257/1136*c_0101_5^6 - 885383/1136*c_0101_5^5 - 3541087/2272*c_0101_5^4 + 119329/568*c_0101_5^3 + 437831/1136*c_0101_5^2 - 17573/1136*c_0101_5 - 76671/2272, c_0011_0 - 1, c_0011_3 + 1969/71*c_0101_5^13 - 6796/71*c_0101_5^12 - 14573/71*c_0101_5^11 + 59503/71*c_0101_5^10 + 19714/71*c_0101_5^9 - 174224/71*c_0101_5^8 + 52676/71*c_0101_5^7 + 208649/71*c_0101_5^6 - 72937/71*c_0101_5^5 - 123549/71*c_0101_5^4 + 27098/71*c_0101_5^3 + 35389/71*c_0101_5^2 - 3234/71*c_0101_5 - 3838/71, c_0011_4 - 2859/142*c_0101_5^13 + 5051/71*c_0101_5^12 + 20501/142*c_0101_5^11 - 44266/71*c_0101_5^10 - 11514/71*c_0101_5^9 + 258947/142*c_0101_5^8 - 92519/142*c_0101_5^7 - 154222/71*c_0101_5^6 + 125863/142*c_0101_5^5 + 94177/71*c_0101_5^4 - 50079/142*c_0101_5^3 - 59041/142*c_0101_5^2 + 3282/71*c_0101_5 + 7309/142, c_0101_0 + c_0101_5^13 - 3*c_0101_5^12 - 9*c_0101_5^11 + 27*c_0101_5^10 + 24*c_0101_5^9 - 85*c_0101_5^8 - 14*c_0101_5^7 + 121*c_0101_5^6 + 11*c_0101_5^5 - 83*c_0101_5^4 - 15*c_0101_5^3 + 26*c_0101_5^2 + 6*c_0101_5 - 3, c_0101_1 - 13*c_0101_5^13 + 42*c_0101_5^12 + 107*c_0101_5^11 - 375*c_0101_5^10 - 222*c_0101_5^9 + 1150*c_0101_5^8 - 97*c_0101_5^7 - 1530*c_0101_5^6 + 234*c_0101_5^5 + 991*c_0101_5^4 - 65*c_0101_5^3 - 300*c_0101_5^2 + c_0101_5 + 34, c_0101_5^14 - 3*c_0101_5^13 - 9*c_0101_5^12 + 27*c_0101_5^11 + 24*c_0101_5^10 - 85*c_0101_5^9 - 14*c_0101_5^8 + 121*c_0101_5^7 + 11*c_0101_5^6 - 83*c_0101_5^5 - 15*c_0101_5^4 + 26*c_0101_5^3 + 7*c_0101_5^2 - 3*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB