Magma V2.19-8 Tue Aug 20 2013 16:14:11 on localhost [Seed = 1730607937] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s151 geometric_solution 4.22086798 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 1023 0132 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 -1 1 0 0 0 1 -1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.113095612823 1.170397515933 0 2 4 3 0132 0321 0132 2031 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 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 0.344869603444 0.397874076260 3 0 0 1 0213 0132 1023 0321 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 1 -1 0 0 0 -1 1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.113095612823 1.170397515933 2 1 0 4 0213 1302 0132 2031 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 -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 -0.243944114839 1.435131164556 5 3 5 1 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.086057597219 5.119680991645 4 5 4 5 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.282932684792 0.125774610423 ==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' : negation(d['1']), 's_2_5' : negation(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' : negation(d['1']), 's_0_5' : negation(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' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_1001_1'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : 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_3, c_0011_4, c_0101_0, c_0101_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1117/928*c_1001_1^7 - 963/232*c_1001_1^6 + 2487/464*c_1001_1^5 + 4663/928*c_1001_1^4 - 9835/464*c_1001_1^3 + 22073/928*c_1001_1^2 - 9361/928*c_1001_1 - 1587/928, c_0011_0 - 1, c_0011_3 - 25/58*c_1001_1^7 + 69/58*c_1001_1^6 - 27/29*c_1001_1^5 - 82/29*c_1001_1^4 + 171/29*c_1001_1^3 - 229/58*c_1001_1^2 - 5/29*c_1001_1 + 61/29, c_0011_4 - 3/29*c_1001_1^7 + 27/58*c_1001_1^6 - 35/58*c_1001_1^5 - 22/29*c_1001_1^4 + 77/29*c_1001_1^3 - 53/29*c_1001_1^2 - 43/58*c_1001_1 + 39/29, c_0101_0 + 25/58*c_1001_1^7 - 69/58*c_1001_1^6 + 27/29*c_1001_1^5 + 82/29*c_1001_1^4 - 171/29*c_1001_1^3 + 229/58*c_1001_1^2 + 5/29*c_1001_1 - 61/29, c_0101_4 - 11/58*c_1001_1^7 + 35/58*c_1001_1^6 - 20/29*c_1001_1^5 - 21/29*c_1001_1^4 + 88/29*c_1001_1^3 - 175/58*c_1001_1^2 + 21/29*c_1001_1 + 28/29, c_1001_1^8 - 4*c_1001_1^7 + 6*c_1001_1^6 + 3*c_1001_1^5 - 22*c_1001_1^4 + 29*c_1001_1^3 - 13*c_1001_1^2 - 7*c_1001_1 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB