Magma V2.19-8 Tue Aug 20 2013 16:17:03 on localhost [Seed = 896838119] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1292 geometric_solution 5.18487041 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 0321 0321 0 1 1 1 0 1 -1 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 1 -2 1 -1 0 1 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 0.761023746270 0.690029820481 0 0 3 3 0132 0321 0213 0132 0 1 1 1 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 -1 1 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 0 0 0 0.278854377491 0.653871823158 4 0 0 3 0132 0132 0321 0213 0 1 1 1 0 -1 1 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 -1 2 -1 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 0.761023746270 0.690029820481 4 1 1 2 3201 0213 0132 0213 0 1 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 0 0 0 0 -1 0 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 0 0 0 0 0.761023746270 0.690029820481 2 5 5 3 0132 0132 1023 2310 1 1 1 1 0 -1 0 1 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985177505175 0.291794825784 6 4 4 6 0132 0132 1023 3201 1 1 1 1 0 1 0 -1 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.091943698387 0.162251909223 5 5 6 6 0132 2310 1230 3012 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.369404503775 0.180207425361 ==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_2_6' : d['1'], 's_1_6' : 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_6' : 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_6' : d['c_0101_5'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_1001_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0101_0, c_0101_4, c_0101_5, c_0101_6, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 52/71*c_1001_1^7 - 128/71*c_1001_1^6 + 243/71*c_1001_1^5 - 416/71*c_1001_1^4 + 176/71*c_1001_1^3 - 188/71*c_1001_1^2 + 123/71*c_1001_1 - 13/71, c_0011_0 - 1, c_0101_0 + 4*c_1001_1^7 - 8*c_1001_1^6 + 13*c_1001_1^5 - 14*c_1001_1^4 + 13*c_1001_1^3 - 10*c_1001_1^2 + 5*c_1001_1 - 4, c_0101_4 - 12*c_1001_1^7 + 20*c_1001_1^6 - 31*c_1001_1^5 + 29*c_1001_1^4 - 25*c_1001_1^3 + 17*c_1001_1^2 - 5*c_1001_1 + 4, c_0101_5 - 8*c_1001_1^7 + 8*c_1001_1^6 - 14*c_1001_1^5 + 10*c_1001_1^4 - 11*c_1001_1^3 + 8*c_1001_1^2 - 3*c_1001_1 + 5, c_0101_6 - 16*c_1001_1^7 + 28*c_1001_1^6 - 48*c_1001_1^5 + 47*c_1001_1^4 - 43*c_1001_1^3 + 28*c_1001_1^2 - 11*c_1001_1 + 7, c_1001_0 - 1, c_1001_1^8 - 2*c_1001_1^7 + 13/4*c_1001_1^6 - 7/2*c_1001_1^5 + 13/4*c_1001_1^4 - 5/2*c_1001_1^3 + 5/4*c_1001_1^2 - 3/4*c_1001_1 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB