Magma V2.19-8 Tue Jan 14 2014 03:01:48 on localhost [Seed = 884115645] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s955 geometric_solution 6.08964964 oriented_manifold CS_unknown 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.500000000000 0.866025403784 0 5 1 1 0132 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.500000000000 0.866025403784 2 0 2 5 2031 0132 1302 2310 0 0 0 0 0 1 -1 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 3 3 5 0 1302 2031 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 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 0.500000000000 0.866025403784 5 4 0 4 2310 1302 0132 2031 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 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 0.500000000000 0.866025403784 2 1 4 3 3201 0132 3201 0132 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 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 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 ==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' : negation(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' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_0101_1']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_5'])})} PY=EVAL=SECTION=ENDS=HERE DECOMPOSITION=TYPE: Primary Decomposition of Radical IDEAL=DECOMPOSITION=TIME: 0.190 IDEAL=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_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/2, c_0011_0 - 1, c_0011_3 + 1, c_0011_4 + 1, c_0101_0 + c_0101_5, c_0101_1 + 1, c_0101_5^2 - 2 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1, c_0011_0 - 1, c_0011_3 + c_0101_5^2 - 1, c_0011_4 + 1, c_0101_0 - c_0101_5^3, c_0101_1 + c_0101_5^2 - 1, c_0101_5^4 - c_0101_5^2 + 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1/2*c_0101_5^6 - 3*c_0101_5^4 + 7*c_0101_5^2 - 13/2, c_0011_0 - 1, c_0011_3 + c_0101_5^2 - 1, c_0011_4 - 1, c_0101_0 + 1/2*c_0101_5^7 - 5/2*c_0101_5^5 + 9/2*c_0101_5^3 - 3*c_0101_5, c_0101_1 - c_0101_5^2 + 1, c_0101_5^8 - 5*c_0101_5^6 + 11*c_0101_5^4 - 10*c_0101_5^2 + 4 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + c_0101_5^6 - 12*c_0101_5^4 + 48*c_0101_5^2 - 64, c_0011_0 - 1, c_0011_3 + c_0101_5^2 - 1, c_0011_4 + c_0101_5^6 - 4*c_0101_5^4 + 2*c_0101_5^2, c_0101_0 - c_0101_5^5 + 4*c_0101_5^3 - 3*c_0101_5, c_0101_1 - c_0101_5^6 + 5*c_0101_5^4 - 6*c_0101_5^2 + 1, c_0101_5^8 - 8*c_0101_5^6 + 19*c_0101_5^4 - 12*c_0101_5^2 + 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 35*c_0101_5^6 + 273*c_0101_5^4 - 435*c_0101_5^2 + 155, c_0011_0 - 1, c_0011_3 + c_0101_5^2 - 1, c_0011_4 - c_0101_5^6 + 7*c_0101_5^4 - 8*c_0101_5^2 + 2, c_0101_0 + c_0101_5, c_0101_1 - c_0101_5^6 + 8*c_0101_5^4 - 13*c_0101_5^2 + 3, c_0101_5^8 - 8*c_0101_5^6 + 14*c_0101_5^4 - 7*c_0101_5^2 + 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ ], [ ], [ ], [ ], [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 0.190 Total time: 0.460 seconds, Total memory usage: 32.09MB