Magma V2.19-8 Tue Aug 20 2013 16:14:45 on localhost [Seed = 863154005] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s736 geometric_solution 5.25415725 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 1 0132 0132 0132 3201 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 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 0.914908069505 0.540824529491 0 0 1 1 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.593780067540 0.403177325851 4 0 3 5 0132 0132 1302 0132 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 -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 0.516113225081 0.689676675068 2 5 4 0 2031 2310 0132 0132 0 0 0 0 0 0 1 -1 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 1 -1 1 0 -1 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 0.516113225081 0.689676675068 2 4 4 3 0132 1230 3012 0132 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 1 0 -1 0 0 -1 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516113225081 0.689676675068 5 5 2 3 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.304454716576 0.929449847669 ==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' : 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' : 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' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_0101_1']), '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_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 8*c_0101_4^5 - 30*c_0101_4^4 - 11*c_0101_4^3 + 74*c_0101_4^2 - 13/4*c_0101_4 - 61/2, c_0011_0 - 1, c_0011_3 + c_0101_4^2 - 1, c_0011_5 + 1, c_0101_0 + 2*c_0101_4^5 - c_0101_4^4 - 7*c_0101_4^3 + 9/4*c_0101_4^2 + 5*c_0101_4 - 1, c_0101_1 + 2*c_0101_4^5 - 5*c_0101_4^4 - 5*c_0101_4^3 + 49/4*c_0101_4^2 + 5/2*c_0101_4 - 6, c_0101_4^6 - 1/2*c_0101_4^5 - 7/2*c_0101_4^4 + 9/8*c_0101_4^3 + 7/2*c_0101_4^2 - 1/2*c_0101_4 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 3*c_0101_4^11 + 28*c_0101_4^10 + 20*c_0101_4^9 - 190*c_0101_4^8 - 16*c_0101_4^7 + 428*c_0101_4^6 - 54*c_0101_4^5 - 502*c_0101_4^4 + 106*c_0101_4^3 + 337*c_0101_4^2 - 91*c_0101_4 - 97, c_0011_0 - 1, c_0011_3 + c_0101_4^2 - 1, c_0011_5 - c_0101_4^2, c_0101_0 - c_0101_4^11 + 7*c_0101_4^9 - c_0101_4^8 - 17*c_0101_4^7 + 4*c_0101_4^6 + 22*c_0101_4^5 - 6*c_0101_4^4 - 16*c_0101_4^3 + 5*c_0101_4^2 + 5*c_0101_4 - 1, c_0101_1 + 5*c_0101_4^11 - 3*c_0101_4^10 - 34*c_0101_4^9 + 25*c_0101_4^8 + 75*c_0101_4^7 - 63*c_0101_4^6 - 82*c_0101_4^5 + 76*c_0101_4^4 + 49*c_0101_4^3 - 52*c_0101_4^2 - 9*c_0101_4 + 10, c_0101_4^12 - 7*c_0101_4^10 + c_0101_4^9 + 17*c_0101_4^8 - 4*c_0101_4^7 - 22*c_0101_4^6 + 6*c_0101_4^5 + 17*c_0101_4^4 - 5*c_0101_4^3 - 7*c_0101_4^2 + c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB