Magma V2.19-8 Tue Aug 20 2013 16:09:03 on localhost [Seed = 3364443762] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m342 geometric_solution 4.60317795 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 5 1 2 2 3 0132 0132 3201 0132 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 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 0.636878484627 0.705487002779 0 4 1 1 0132 0132 2031 1302 0 0 0 0 0 1 0 -1 0 0 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 -1 0 0 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 0.471253405353 0.432847894419 0 0 4 4 2310 0132 3201 1023 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 -1 0 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 1.294962833620 0.780988162362 3 3 0 4 1230 3012 0132 0132 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 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 0.373147449177 0.749758210561 2 1 3 2 2310 0132 0132 1023 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 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 0.636878484627 0.705487002779 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], '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_4' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 299/72*c_0101_2^10 - 97/16*c_0101_2^9 - 3001/72*c_0101_2^8 + 4691/144*c_0101_2^7 + 7667/48*c_0101_2^6 - 1201/18*c_0101_2^5 - 21937/72*c_0101_2^4 + 184/3*c_0101_2^3 + 3521/12*c_0101_2^2 - 184/9*c_0101_2 - 2119/18, c_0011_0 - 1, c_0011_3 - 1001/384*c_0101_2^10 + 67/16*c_0101_2^9 + 8791/384*c_0101_2^8 - 7267/384*c_0101_2^7 - 5009/64*c_0101_2^6 + 1649/48*c_0101_2^5 + 3229/24*c_0101_2^4 - 227/8*c_0101_2^3 - 471/4*c_0101_2^2 + 53/6*c_0101_2 + 128/3, c_0101_0 + 1235/128*c_0101_2^10 - 853/64*c_0101_2^9 - 11669/128*c_0101_2^8 + 7527/128*c_0101_2^7 + 10233/32*c_0101_2^6 - 3129/32*c_0101_2^5 - 8759/16*c_0101_2^4 + 137/2*c_0101_2^3 + 1857/4*c_0101_2^2 - 31/2*c_0101_2 - 158, c_0101_1 + 13/128*c_0101_2^10 - 1/32*c_0101_2^9 - 143/128*c_0101_2^8 - 53/128*c_0101_2^7 + 263/64*c_0101_2^6 + 85/32*c_0101_2^5 - 57/8*c_0101_2^4 - 23/4*c_0101_2^3 + 6*c_0101_2^2 + 9/2*c_0101_2 - 2, c_0101_2^11 - 4/13*c_0101_2^10 - 11*c_0101_2^9 - 53/13*c_0101_2^8 + 526/13*c_0101_2^7 + 340/13*c_0101_2^6 - 912/13*c_0101_2^5 - 736/13*c_0101_2^4 + 768/13*c_0101_2^3 + 704/13*c_0101_2^2 - 256/13*c_0101_2 - 256/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB