Magma V2.19-8 Tue Aug 20 2013 16:14:11 on localhost [Seed = 2134827865] 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' : 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' : 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: 7 Groebner basis: [ t - 11/14*c_1001_1^6 + 23/14*c_1001_1^5 - 16/7*c_1001_1^4 + 4/7*c_1001_1^3 + 13/7*c_1001_1^2 - 11/2*c_1001_1 + 12/7, c_0011_0 - 1, c_0011_3 + 7/10*c_1001_1^6 - 19/10*c_1001_1^5 + 14/5*c_1001_1^4 - 11/5*c_1001_1^3 - 3/5*c_1001_1^2 + 47/10*c_1001_1 - 16/5, c_0011_4 + 1/5*c_1001_1^6 - 9/10*c_1001_1^5 + 13/10*c_1001_1^4 - 6/5*c_1001_1^3 + 2/5*c_1001_1^2 + 6/5*c_1001_1 - 17/10, c_0101_0 - 7/10*c_1001_1^6 + 19/10*c_1001_1^5 - 14/5*c_1001_1^4 + 11/5*c_1001_1^3 + 3/5*c_1001_1^2 - 47/10*c_1001_1 + 16/5, c_0101_4 + 1/10*c_1001_1^6 - 7/10*c_1001_1^5 + 7/5*c_1001_1^4 - 8/5*c_1001_1^3 + 1/5*c_1001_1^2 + 21/10*c_1001_1 - 13/5, c_1001_1^7 - 4*c_1001_1^6 + 8*c_1001_1^5 - 9*c_1001_1^4 + 4*c_1001_1^3 + 7*c_1001_1^2 - 13*c_1001_1 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB