Magma V2.19-8 Tue Aug 20 2013 16:14:41 on localhost [Seed = 2395935377] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s671 geometric_solution 5.16816208 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 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 0 0 0 -1 0 0 1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.613496308751 1.249151002737 0 3 2 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 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 0.120110959553 0.871207133495 3 0 4 1 3201 0132 3201 0132 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 -1 0 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 0.120110959553 0.871207133495 5 1 5 2 0132 0132 2310 2310 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 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.754916895866 1.114785429430 2 4 1 4 2310 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.155296782676 1.126422313004 3 3 5 5 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.481426113817 0.175863800519 ==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_0101_2']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_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_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 7762252/3497579*c_0101_3^15 + 99331713/3497579*c_0101_3^13 - 402513386/3497579*c_0101_3^11 + 614995145/3497579*c_0101_3^9 - 412668891/3497579*c_0101_3^7 + 59588002/3497579*c_0101_3^5 + 27963122/3497579*c_0101_3^3 + 19703134/3497579*c_0101_3, c_0011_0 - 1, c_0011_4 - 8210792/3497579*c_0101_3^15 + 104048198/3497579*c_0101_3^13 - 410818646/3497579*c_0101_3^11 + 578029409/3497579*c_0101_3^9 - 309065595/3497579*c_0101_3^7 + 19711586/3497579*c_0101_3^5 + 25805013/3497579*c_0101_3^3 + 6353717/3497579*c_0101_3, c_0101_0 + 2994356/3497579*c_0101_3^14 - 38063123/3497579*c_0101_3^12 + 151947325/3497579*c_0101_3^10 - 223810173/3497579*c_0101_3^8 + 142257702/3497579*c_0101_3^6 - 22806454/3497579*c_0101_3^4 - 10035405/3497579*c_0101_3^2 + 474318/3497579, c_0101_1 - 3641720/3497579*c_0101_3^15 + 44582078/3497579*c_0101_3^13 - 162933763/3497579*c_0101_3^11 + 185115494/3497579*c_0101_3^9 - 53966779/3497579*c_0101_3^7 - 13926912/3497579*c_0101_3^5 - 3850411/3497579*c_0101_3^3 + 8067587/3497579*c_0101_3, c_0101_2 - 1849852/3497579*c_0101_3^14 + 22793957/3497579*c_0101_3^12 - 84371786/3497579*c_0101_3^10 + 98075031/3497579*c_0101_3^8 - 24852072/3497579*c_0101_3^6 - 18417291/3497579*c_0101_3^4 + 2749148/3497579*c_0101_3^2 + 4408009/3497579, c_0101_3^16 - 51/4*c_0101_3^14 + 51*c_0101_3^12 - 74*c_0101_3^10 + 167/4*c_0101_3^8 - 3*c_0101_3^6 - 4*c_0101_3^4 - 1/2*c_0101_3^2 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB