Magma V2.19-8 Tue Aug 20 2013 16:18:49 on localhost [Seed = 4088557198] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2982 geometric_solution 6.16104618 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3012 0 0 0 0 0 -1 0 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 0 0 0 0 0 1 -1 1 0 -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 0.683134126060 1.133281769933 0 4 0 5 0132 0132 1230 0132 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 -1 0 1 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.589338793929 0.346194694317 6 0 6 5 0132 0132 1023 2103 0 0 0 0 0 1 -1 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.159453861645 0.964185388880 5 5 4 0 0132 3120 1302 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 -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 0.377595330546 0.458362465484 3 1 4 4 2031 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.738494429982 0.741044946796 3 3 1 2 0132 3120 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.895148804779 0.862859959129 2 6 2 6 0132 2310 1023 3201 0 0 0 0 0 0 1 -1 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630834617656 0.340440243694 ==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' : negation(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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0110_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), '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_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : 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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : negation(d['c_0101_1']), '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_1']), 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0110_4']), '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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 494834475/185728*c_0110_4^9 + 2361344255/185728*c_0110_4^8 - 1272899421/185728*c_0110_4^7 - 501938549/46432*c_0110_4^6 + 6196856197/185728*c_0110_4^5 + 184109357/92864*c_0110_4^4 - 5618535483/92864*c_0110_4^3 - 9373242141/185728*c_0110_4^2 - 1360945799/92864*c_0110_4 - 257577329/185728, c_0011_0 - 1, c_0011_3 - 125785/11608*c_0101_2*c_0110_4^9 + 627629/11608*c_0101_2*c_0110_4^8 - 459983/11608*c_0101_2*c_0110_4^7 - 103549/2902*c_0101_2*c_0110_4^6 + 1682935/11608*c_0101_2*c_0110_4^5 - 149093/5804*c_0101_2*c_0110_4^4 - 1387325/5804*c_0101_2*c_0110_4^3 - 1766471/11608*c_0101_2*c_0110_4^2 - 163977/5804*c_0101_2*c_0110_4 - 5315/11608*c_0101_2, c_0101_0 - 948425/11608*c_0101_2*c_0110_4^9 + 4569005/11608*c_0101_2*c_0110_4^8 - 2659599/11608*c_0101_2*c_0110_4^7 - 915711/2902*c_0101_2*c_0110_4^6 + 11976647/11608*c_0101_2*c_0110_4^5 + 77915/5804*c_0101_2*c_0110_4^4 - 10702777/5804*c_0101_2*c_0110_4^3 - 17057687/11608*c_0101_2*c_0110_4^2 - 2332409/5804*c_0101_2*c_0110_4 - 401955/11608*c_0101_2, c_0101_1 + 1663885/11608*c_0101_2*c_0110_4^9 - 7863169/11608*c_0101_2*c_0110_4^8 + 3881003/11608*c_0101_2*c_0110_4^7 + 1780961/2902*c_0101_2*c_0110_4^6 - 20723131/11608*c_0101_2*c_0110_4^5 - 1096167/5804*c_0101_2*c_0110_4^4 + 19054609/5804*c_0101_2*c_0110_4^3 + 33044379/11608*c_0101_2*c_0110_4^2 + 5024081/5804*c_0101_2*c_0110_4 + 1024063/11608*c_0101_2, c_0101_2^2 + 1381231/11608*c_0110_4^9 - 32447767/58040*c_0110_4^8 + 15127133/58040*c_0110_4^7 + 7614001/14510*c_0110_4^6 - 85580613/58040*c_0110_4^5 - 5854933/29020*c_0110_4^4 + 79589467/29020*c_0110_4^3 + 141046509/58040*c_0110_4^2 + 4360843/5804*c_0110_4 + 4414273/58040, c_0101_4 + 20585/5804*c_0110_4^9 - 64769/5804*c_0110_4^8 - 117669/5804*c_0110_4^7 + 56388/1451*c_0110_4^6 - 168987/5804*c_0110_4^5 - 231957/2902*c_0110_4^4 + 294365/2902*c_0110_4^3 + 1111335/5804*c_0110_4^2 + 254167/2902*c_0110_4 + 68243/5804, c_0110_4^10 - 22/5*c_0110_4^9 + 4/5*c_0110_4^8 + 5*c_0110_4^7 - 11*c_0110_4^6 - 27/5*c_0110_4^5 + 112/5*c_0110_4^4 + 137/5*c_0110_4^3 + 63/5*c_0110_4^2 + 13/5*c_0110_4 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB