Magma V2.19-8 Tue Aug 20 2013 16:14:32 on localhost [Seed = 4240269555] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s514 geometric_solution 4.90931627 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 -1 0 1 1 0 0 -1 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 -1 1 0 1 0 0 -1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.466043681058 0.545925047306 0 2 3 0 3201 0132 0132 0132 0 0 0 0 0 -1 1 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 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 0.757346271077 0.356552716324 4 1 4 5 0132 0132 2310 0132 0 0 0 0 0 1 0 -1 -1 0 1 0 -1 1 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 -1 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 0.989956744927 0.663759009672 4 5 4 1 3201 0132 1023 0132 0 0 0 0 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 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 0.989956744927 0.663759009672 2 2 3 3 0132 3201 1023 2310 0 0 0 0 0 -1 0 1 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.691448906131 0.454391867741 5 3 2 5 3201 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588637169908 0.560213341490 ==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' : negation(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' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_1'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_1001_1'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0101_0, c_0101_2, c_0101_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 14238931145484/766682718361*c_1001_1^7 + 157502779284181/766682718361*c_1001_1^6 - 46426028632700/766682718361*c_1001_1^5 - 526737149080637/219052205246*c_1001_1^4 - 8042617852271823/1533365436722*c_1001_1^3 - 3576531246319443/1533365436722*c_1001_1^2 + 2961219947741357/1533365436722*c_1001_1 + 3199049867158311/1533365436722, c_0011_0 - 1, c_0011_1 - 44571/39165422*c_1001_1^7 - 398661/39165422*c_1001_1^6 + 741089/19582711*c_1001_1^5 + 3927671/19582711*c_1001_1^4 - 4219724/19582711*c_1001_1^3 - 37786731/39165422*c_1001_1^2 + 6173/39165422*c_1001_1 + 17669140/19582711, c_0101_0 - 243289/39165422*c_1001_1^7 - 1245548/19582711*c_1001_1^6 + 1621695/19582711*c_1001_1^5 + 16521717/19582711*c_1001_1^4 + 19272774/19582711*c_1001_1^3 - 43759197/39165422*c_1001_1^2 - 39284117/19582711*c_1001_1 + 4111723/19582711, c_0101_2 - 965017/920387417*c_1001_1^7 - 1868434/920387417*c_1001_1^6 + 87643646/920387417*c_1001_1^5 - 29449578/920387417*c_1001_1^4 - 680875106/920387417*c_1001_1^3 - 1163837823/920387417*c_1001_1^2 + 755094591/920387417*c_1001_1 + 1206623004/920387417, c_0101_4 + 6413895/920387417*c_1001_1^7 + 127257367/1840774834*c_1001_1^6 - 94899750/920387417*c_1001_1^5 - 1487978921/1840774834*c_1001_1^4 - 2058914547/1840774834*c_1001_1^3 + 984896413/1840774834*c_1001_1^2 + 1413238602/920387417*c_1001_1 + 250385411/1840774834, c_1001_1^8 + 10*c_1001_1^7 - 15*c_1001_1^6 - 126*c_1001_1^5 - 145*c_1001_1^4 + 174*c_1001_1^3 + 237*c_1001_1^2 + 2*c_1001_1 - 119 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB