Magma V2.19-8 Tue Aug 20 2013 16:14:56 on localhost [Seed = 2783197630] 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' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(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 + 1333390886/174304085*c_1001_1^10 + 1405037727/174304085*c_1001_1^9 + 1423198393/174304085*c_1001_1^8 - 1233359628/174304085*c_1001_1^7 + 13291787912/174304085*c_1001_1^6 - 19297326568/174304085*c_1001_1^5 - 3384667115/34860817*c_1001_1^4 + 1612009332/174304085*c_1001_1^3 - 38897278557/174304085*c_1001_1^2 - 14192967261/174304085*c_1001_1 - 21169398891/174304085, c_0011_0 - 1, c_0011_2 + 2083229/34860817*c_1001_1^10 + 1407320/34860817*c_1001_1^9 + 1448654/34860817*c_1001_1^8 - 1012128/34860817*c_1001_1^7 + 22843301/34860817*c_1001_1^6 - 36776939/34860817*c_1001_1^5 - 22139935/34860817*c_1001_1^4 + 19999888/34860817*c_1001_1^3 - 98853877/34860817*c_1001_1^2 + 2874400/34860817*c_1001_1 - 33831636/34860817, c_0011_3 + 1552266/34860817*c_1001_1^10 - 333953/34860817*c_1001_1^9 - 682481/34860817*c_1001_1^8 - 3347468/34860817*c_1001_1^7 + 18518827/34860817*c_1001_1^6 - 42634530/34860817*c_1001_1^5 + 2026197/34860817*c_1001_1^4 + 30157309/34860817*c_1001_1^3 - 36072407/34860817*c_1001_1^2 + 1768267/34860817*c_1001_1 + 4382741/34860817, c_0011_5 - 1886219/34860817*c_1001_1^10 - 2234747/34860817*c_1001_1^9 - 1795202/34860817*c_1001_1^8 + 2996167/34860817*c_1001_1^7 - 19350540/34860817*c_1001_1^6 + 20653389/34860817*c_1001_1^5 + 27052777/34860817*c_1001_1^4 + 8943307/34860817*c_1001_1^3 + 15738661/34860817*c_1001_1^2 + 27666731/34860817*c_1001_1 + 33308551/34860817, c_0101_1 - 1, c_1001_1^11 + c_1001_1^10 + c_1001_1^9 - c_1001_1^8 + 10*c_1001_1^7 - 15*c_1001_1^6 - 12*c_1001_1^5 + 2*c_1001_1^4 - 29*c_1001_1^3 - 9*c_1001_1^2 - 15*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB