Magma V2.19-8 Tue Aug 20 2013 16:15:54 on localhost [Seed = 3263389435] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0130 geometric_solution 3.63938669 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.445935881693 0.064620888669 0 2 2 0 0132 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 -0.893898541543 0.153740604735 1 1 3 3 2310 0132 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 0 0 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330833851108 0.091407764004 4 2 5 2 0132 2310 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 -1 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 0.487559377945 0.373951243300 3 6 5 5 0132 0132 3012 2310 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 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 0.004835681431 1.976109350689 4 4 6 3 3201 1230 3201 0132 0 0 0 0 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 0 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 0.004835681431 1.976109350689 5 4 6 6 2310 0132 1230 3012 0 0 0 0 0 0 -1 1 -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 0 0 0 1 0 -1 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 0.004835681431 1.976109350689 ==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' : negation(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' : negation(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_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : 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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 3*c_0101_2*c_0101_3 + 29/4*c_0101_2, c_0011_0 - 1, c_0011_3 - 1, c_0011_5 - 1/2*c_0101_2*c_0101_3 + 1/2*c_0101_2, c_0101_0 + 1/2*c_0101_2*c_0101_3 - 1/2*c_0101_2, c_0101_1 - c_0101_3, c_0101_2^2 - 2*c_0101_3 - 2, c_0101_3^2 - 2*c_0101_3 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 120*c_0101_2*c_0101_3^7 + 5767/4*c_0101_2*c_0101_3^6 + 2411*c_0101_2*c_0101_3^5 - 3450*c_0101_2*c_0101_3^4 - 5835*c_0101_2*c_0101_3^3 + 13543/4*c_0101_2*c_0101_3^2 + 2904*c_0101_2*c_0101_3 - 1370*c_0101_2, c_0011_0 - 1, c_0011_3 + 13/116*c_0101_3^7 + 167/116*c_0101_3^6 + 379/116*c_0101_3^5 - 141/58*c_0101_3^4 - 995/116*c_0101_3^3 + 111/116*c_0101_3^2 + 519/116*c_0101_3 - 9/58, c_0011_5 - 61/116*c_0101_2*c_0101_3^7 - 192/29*c_0101_2*c_0101_3^6 - 839/58*c_0101_2*c_0101_3^5 + 327/58*c_0101_2*c_0101_3^4 + 3027/116*c_0101_2*c_0101_3^3 + 41/29*c_0101_2*c_0101_3^2 - 409/58*c_0101_2*c_0101_3 + 69/58*c_0101_2, c_0101_0 + 45/58*c_0101_2*c_0101_3^7 + 279/29*c_0101_2*c_0101_3^6 + 2229/116*c_0101_2*c_0101_3^5 - 907/58*c_0101_2*c_0101_3^4 - 2485/58*c_0101_2*c_0101_3^3 + 278/29*c_0101_2*c_0101_3^2 + 2181/116*c_0101_2*c_0101_3 - 301/58*c_0101_2, c_0101_1 - 69/116*c_0101_3^7 - 873/116*c_0101_3^6 - 969/58*c_0101_3^5 + 803/116*c_0101_3^4 + 3907/116*c_0101_3^3 + 263/116*c_0101_3^2 - 765/58*c_0101_3 + 71/116, c_0101_2^2 - 41/58*c_0101_3^7 - 1011/116*c_0101_3^6 - 999/58*c_0101_3^5 + 1375/116*c_0101_3^4 + 2045/58*c_0101_3^3 - 399/116*c_0101_3^2 - 807/58*c_0101_3 + 147/116, c_0101_3^8 + 12*c_0101_3^7 + 20*c_0101_3^6 - 28*c_0101_3^5 - 46*c_0101_3^4 + 28*c_0101_3^3 + 20*c_0101_3^2 - 12*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB