Magma V2.19-8 Tue Aug 20 2013 16:14:10 on localhost [Seed = 1646526020] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s124 geometric_solution 4.11133100 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 -1 2 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 -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 0.118752822929 0.150450747378 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 1 0 0 0 0 -1 0 0 1 1 -2 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.351207525530 3.944822222792 1 3 3 4 0132 3201 0213 0132 0 0 0 0 0 0 1 -1 0 0 -1 1 -1 0 0 1 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 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296571739503 0.494645900939 4 2 2 1 0132 0213 2310 0132 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 0 -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 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 0.296571739503 0.494645900939 3 5 2 5 0132 0132 0132 1023 0 0 0 0 0 -1 1 0 0 0 -1 1 1 0 0 -1 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.244085654129 0.473998666295 5 4 5 4 2031 0132 1302 1023 0 0 0 0 0 1 0 -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 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 0.601775771713 0.271808167425 ==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_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' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_1, c_0011_3, c_0101_1, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 19832392/613885*c_0110_5^9 - 17770846/613885*c_0110_5^8 + 298300858/613885*c_0110_5^7 + 60881188/122777*c_0110_5^6 - 1267269601/613885*c_0110_5^5 - 694707068/613885*c_0110_5^4 + 2232929201/613885*c_0110_5^3 - 42970898/122777*c_0110_5^2 - 479381291/613885*c_0110_5 - 150341429/613885, c_0011_0 - 1, c_0011_1 - 452/122777*c_0110_5^9 + 523/122777*c_0110_5^8 + 7010/122777*c_0110_5^7 - 13413/122777*c_0110_5^6 - 50338/122777*c_0110_5^5 + 122286/122777*c_0110_5^4 + 247620/122777*c_0110_5^3 - 234621/122777*c_0110_5^2 - 209268/122777*c_0110_5 + 66153/122777, c_0011_3 - 44854/122777*c_0110_5^9 - 65988/122777*c_0110_5^8 + 625010/122777*c_0110_5^7 + 1015312/122777*c_0110_5^6 - 2125762/122777*c_0110_5^5 - 2337483/122777*c_0110_5^4 + 3323337/122777*c_0110_5^3 + 290140/122777*c_0110_5^2 - 404097/122777*c_0110_5 - 114734/122777, c_0101_1 + 14777/122777*c_0110_5^9 + 21745/122777*c_0110_5^8 - 203641/122777*c_0110_5^7 - 326679/122777*c_0110_5^6 + 678126/122777*c_0110_5^5 + 672583/122777*c_0110_5^4 - 1152435/122777*c_0110_5^3 + 47031/122777*c_0110_5^2 + 385375/122777*c_0110_5 + 16043/122777, c_0101_3 - 31113/122777*c_0110_5^9 - 30006/122777*c_0110_5^8 + 453734/122777*c_0110_5^7 + 489479/122777*c_0110_5^6 - 1809653/122777*c_0110_5^5 - 934796/122777*c_0110_5^4 + 3165459/122777*c_0110_5^3 - 611294/122777*c_0110_5^2 - 588553/122777*c_0110_5 - 119823/122777, c_0110_5^10 + c_0110_5^9 - 15*c_0110_5^8 - 17*c_0110_5^7 + 63*c_0110_5^6 + 43*c_0110_5^5 - 111*c_0110_5^4 - 4*c_0110_5^3 + 28*c_0110_5^2 + 11*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB