Magma V2.19-8 Tue Aug 20 2013 16:16:13 on localhost [Seed = 4088557362] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0481 geometric_solution 4.50445471 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.886409654911 0.100540914071 0 2 0 2 0132 0132 1023 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 0 0 0 0 0 1 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.889189026842 0.155092637134 3 1 4 1 0132 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 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 0.985562597713 0.293630375992 2 4 4 5 0132 0213 3012 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 0 -1 1 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 0.847678242450 0.636822822318 5 3 3 2 0132 1230 0213 0132 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 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 0.847678242450 0.636822822318 4 6 3 6 0132 0132 0132 1023 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 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 1.990102645656 0.838391753809 6 5 6 5 2031 0132 1302 1023 0 0 0 0 0 0 1 -1 -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 -1 1 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 0.451744189799 0.347077897891 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : d['1'], 's_1_2' : d['1'], 's_1_1' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], '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_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 6023773/261209*c_0110_6^12 + 44929685/261209*c_0110_6^11 - 132546512/261209*c_0110_6^10 + 237183020/261209*c_0110_6^9 - 370041605/261209*c_0110_6^8 + 529521045/261209*c_0110_6^7 - 633499879/261209*c_0110_6^6 + 653799554/261209*c_0110_6^5 - 553871945/261209*c_0110_6^4 + 29115575/20093*c_0110_6^3 - 192538097/261209*c_0110_6^2 + 71468149/261209*c_0110_6 - 12576142/261209, c_0011_0 - 1, c_0011_4 - 315/283*c_0110_6^12 + 2241/283*c_0110_6^11 - 6100/283*c_0110_6^10 + 9894/283*c_0110_6^9 - 14827/283*c_0110_6^8 + 20657/283*c_0110_6^7 - 23156/283*c_0110_6^6 + 22402/283*c_0110_6^5 - 16663/283*c_0110_6^4 + 9671/283*c_0110_6^3 - 3646/283*c_0110_6^2 + 715/283*c_0110_6 + 256/283, c_0101_0 + 72/283*c_0110_6^12 - 302/283*c_0110_6^11 - 142/283*c_0110_6^10 + 2218/283*c_0110_6^9 - 4632/283*c_0110_6^8 + 7504/283*c_0110_6^7 - 11574/283*c_0110_6^6 + 15110/283*c_0110_6^5 - 16632/283*c_0110_6^4 + 13969/283*c_0110_6^3 - 9484/283*c_0110_6^2 + 4405/283*c_0110_6 - 1142/283, c_0101_1 - 211/283*c_0110_6^12 + 1396/283*c_0110_6^11 - 3255/283*c_0110_6^10 + 3916/283*c_0110_6^9 - 4632/283*c_0110_6^8 + 5806/283*c_0110_6^7 - 4216/283*c_0110_6^6 + 677/283*c_0110_6^5 + 3178/283*c_0110_6^4 - 5558/283*c_0110_6^3 + 5798/283*c_0110_6^2 - 3236/283*c_0110_6 + 1122/283, c_0101_2 - 27/283*c_0110_6^12 - 99/283*c_0110_6^11 + 1539/283*c_0110_6^10 - 4723/283*c_0110_6^9 + 7680/283*c_0110_6^8 - 11587/283*c_0110_6^7 + 16580/283*c_0110_6^6 - 18755/283*c_0110_6^5 + 18406/283*c_0110_6^4 - 13693/283*c_0110_6^3 + 7943/283*c_0110_6^2 - 2607/283*c_0110_6 + 499/283, c_0101_3 - 36/283*c_0110_6^12 + 151/283*c_0110_6^11 + 71/283*c_0110_6^10 - 1109/283*c_0110_6^9 + 2316/283*c_0110_6^8 - 3752/283*c_0110_6^7 + 5787/283*c_0110_6^6 - 7555/283*c_0110_6^5 + 8316/283*c_0110_6^4 - 6843/283*c_0110_6^3 + 4459/283*c_0110_6^2 - 2344/283*c_0110_6 + 571/283, c_0110_6^13 - 8*c_0110_6^12 + 26*c_0110_6^11 - 51*c_0110_6^10 + 82*c_0110_6^9 - 120*c_0110_6^8 + 151*c_0110_6^7 - 163*c_0110_6^6 + 148*c_0110_6^5 - 110*c_0110_6^4 + 64*c_0110_6^3 - 28*c_0110_6^2 + 8*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB