Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 1461111670] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s340 geometric_solution 4.53961824 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.380028680076 0.785627266339 0 2 3 0 3201 0132 0132 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 1 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 0 0 0 0.583130088635 0.236422067918 3 1 4 3 2031 0132 0132 3201 0 0 0 0 0 0 -1 1 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 0 1 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 0.380028680076 0.785627266339 4 2 2 1 0132 2310 1302 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 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 0.380028680076 0.785627266339 3 5 5 2 0132 0132 1023 0132 0 0 0 0 0 -1 0 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 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 -0.074068782952 0.578573208394 5 4 4 5 3201 0132 1023 2310 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 0 0 0 0 0 0 0 0 0 0 0 1.862719829984 0.623943309097 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_1'], 'c_0101_2' : d['c_0011_1'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0110_2'], '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_0110_2'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0011_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0110_2']), '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_0011_3, c_0101_0, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 49125242/817079*c_0110_2^17 + 921280875/817079*c_0110_2^15 + 520440226/817079*c_0110_2^13 + 1771463006/817079*c_0110_2^11 + 64976588/817079*c_0110_2^9 - 422716884/817079*c_0110_2^7 - 2046415904/817079*c_0110_2^5 + 1509709979/817079*c_0110_2^3 - 267981478/817079*c_0110_2, c_0011_0 - 1, c_0011_1 - 575008/817079*c_0110_2^16 + 10385693/817079*c_0110_2^14 + 13354220/817079*c_0110_2^12 + 28561646/817079*c_0110_2^10 + 19260238/817079*c_0110_2^8 + 4747849/817079*c_0110_2^6 - 21957274/817079*c_0110_2^4 + 2343477/817079*c_0110_2^2 + 878055/817079, c_0011_3 - 2998701/817079*c_0110_2^17 + 54911586/817079*c_0110_2^15 + 55964375/817079*c_0110_2^13 + 134161106/817079*c_0110_2^11 + 64714178/817079*c_0110_2^9 + 6309327/817079*c_0110_2^7 - 120329314/817079*c_0110_2^5 + 39318724/817079*c_0110_2^3 - 1552685/817079*c_0110_2, c_0101_0 + 249118/817079*c_0110_2^17 - 4373282/817079*c_0110_2^15 - 8048432/817079*c_0110_2^13 - 15627076/817079*c_0110_2^11 - 14902730/817079*c_0110_2^9 - 6666423/817079*c_0110_2^7 + 8021968/817079*c_0110_2^5 + 4530185/817079*c_0110_2^3 - 371183/817079*c_0110_2, c_0101_5 + 4761971/817079*c_0110_2^16 - 88123375/817079*c_0110_2^14 - 72074885/817079*c_0110_2^12 - 193886966/817079*c_0110_2^10 - 58841244/817079*c_0110_2^8 + 15728174/817079*c_0110_2^6 + 196483491/817079*c_0110_2^4 - 98402911/817079*c_0110_2^2 + 10403589/817079, c_0110_2^18 - 19*c_0110_2^16 - 6*c_0110_2^14 - 33*c_0110_2^12 + 8*c_0110_2^10 + 10*c_0110_2^8 + 40*c_0110_2^6 - 41*c_0110_2^4 + 12*c_0110_2^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB