Magma V2.19-8 Tue Aug 20 2013 16:14:56 on localhost [Seed = 2715827642] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s917 geometric_solution 5.72573416 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 0 1 -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 0.457190317695 0.504539015837 0 4 0 2 0132 0132 2310 1302 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.013788885369 1.088347600387 4 3 1 0 0213 3012 2031 0132 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799667554510 0.639918245797 2 4 0 5 1230 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417107584992 1.052276341631 2 1 5 3 0213 0132 3012 0321 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 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 0.402814547516 0.727187740829 5 4 3 5 3201 1230 0132 2310 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 1 -1 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.914936485152 0.898170421711 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : 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' : d['c_0011_5'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_2'], 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_2'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : negation(d['c_1001_1'])})} 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_2, c_0011_3, c_0011_5, c_0101_1, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 2664/659*c_1001_1^10 + 921/3295*c_1001_1^9 - 22393/3295*c_1001_1^8 - 1136/3295*c_1001_1^7 - 46136/3295*c_1001_1^6 + 11192/3295*c_1001_1^5 + 159541/3295*c_1001_1^4 - 200528/3295*c_1001_1^3 + 151239/3295*c_1001_1^2 - 2707/3295*c_1001_1 - 52743/3295, c_0011_0 - 1, c_0011_2 + 837/3295*c_1001_1^10 + 126/3295*c_1001_1^9 - 1518/3295*c_1001_1^8 - 164/3295*c_1001_1^7 - 2493/3295*c_1001_1^6 + 1031/3295*c_1001_1^5 + 10031/3295*c_1001_1^4 - 12558/3295*c_1001_1^3 + 7779/3295*c_1001_1^2 + 624/659*c_1001_1 - 3296/3295, c_0011_3 - 1292/3295*c_1001_1^10 - 1307/3295*c_1001_1^9 + 1311/3295*c_1001_1^8 + 244/659*c_1001_1^7 + 4819/3295*c_1001_1^6 + 4112/3295*c_1001_1^5 - 12707/3295*c_1001_1^4 + 7251/3295*c_1001_1^3 - 3573/3295*c_1001_1^2 - 10303/3295*c_1001_1 + 1229/3295, c_0011_5 + 3/659*c_1001_1^10 - 19/3295*c_1001_1^9 + 72/3295*c_1001_1^8 + 349/3295*c_1001_1^7 - 236/3295*c_1001_1^6 - 213/3295*c_1001_1^5 + 501/3295*c_1001_1^4 - 303/3295*c_1001_1^3 + 1259/3295*c_1001_1^2 + 63/3295*c_1001_1 - 2003/3295, c_0101_1 - 1, c_1001_1^11 + c_1001_1^10 - c_1001_1^9 - c_1001_1^8 - 4*c_1001_1^7 - 3*c_1001_1^6 + 10*c_1001_1^5 - 6*c_1001_1^4 + 3*c_1001_1^3 + 7*c_1001_1^2 - c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB