Magma V2.19-8 Tue Aug 20 2013 16:18:23 on localhost [Seed = 2261195688] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2594 geometric_solution 5.88525559 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 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 -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 1.424912928385 0.703705700077 0 1 5 1 0132 2310 0132 3201 0 0 0 0 0 0 -1 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 0 -1 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 0.043432304733 0.788742469573 5 0 5 6 2310 0132 2103 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 -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 0.312923024618 0.732537762344 5 4 6 0 1023 2103 2103 0132 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 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 1.081623561288 1.010998351798 6 3 0 6 3120 2103 0132 3201 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 1.283789275395 0.367795077618 2 3 2 1 2103 1023 3201 0132 0 0 0 0 0 0 -1 1 0 0 0 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 -1 0 1 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 -0.069602935515 1.264008244204 3 4 2 4 2103 2310 0132 3120 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593080653913 0.888993238833 ==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_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' : 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' : negation(d['c_0101_1']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0101_1']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), '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_3'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_2']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_3'], '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_2']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0011_3']})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 6274/53*c_1001_0^9 + 21517/53*c_1001_0^8 - 22137/53*c_1001_0^7 - 134995/53*c_1001_0^6 - 76707/53*c_1001_0^5 + 161598/53*c_1001_0^4 + 257321/53*c_1001_0^3 + 173073/53*c_1001_0^2 + 36884/53*c_1001_0 - 15267/53, c_0011_0 - 1, c_0011_3 - 5/53*c_1001_0^9 - 13/53*c_1001_0^8 + 9/53*c_1001_0^7 + 54/53*c_1001_0^6 + 110/53*c_1001_0^5 + 13/53*c_1001_0^4 - 240/53*c_1001_0^3 - 219/53*c_1001_0^2 - 52/53*c_1001_0 + 67/53, c_0011_4 - 32/53*c_1001_0^9 - 62/53*c_1001_0^8 + 206/53*c_1001_0^7 + 388/53*c_1001_0^6 - 197/53*c_1001_0^5 - 627/53*c_1001_0^4 - 423/53*c_1001_0^3 - 66/53*c_1001_0^2 + 123/53*c_1001_0 + 26/53, c_0101_0 - 37/53*c_1001_0^9 - 75/53*c_1001_0^8 + 215/53*c_1001_0^7 + 442/53*c_1001_0^6 - 87/53*c_1001_0^5 - 614/53*c_1001_0^4 - 663/53*c_1001_0^3 - 232/53*c_1001_0^2 + 71/53*c_1001_0 + 40/53, c_0101_1 + 35/53*c_1001_0^9 + 38/53*c_1001_0^8 - 275/53*c_1001_0^7 - 219/53*c_1001_0^6 + 502/53*c_1001_0^5 + 386/53*c_1001_0^4 + 37/53*c_1001_0^3 - 110/53*c_1001_0^2 - 166/53*c_1001_0 + 61/53, c_0101_2 - 35/53*c_1001_0^9 - 38/53*c_1001_0^8 + 275/53*c_1001_0^7 + 219/53*c_1001_0^6 - 502/53*c_1001_0^5 - 386/53*c_1001_0^4 - 37/53*c_1001_0^3 + 110/53*c_1001_0^2 + 113/53*c_1001_0 - 61/53, c_1001_0^10 + 3*c_1001_0^9 - 5*c_1001_0^8 - 20*c_1001_0^7 - 3*c_1001_0^6 + 31*c_1001_0^5 + 30*c_1001_0^4 + 10*c_1001_0^3 - 6*c_1001_0^2 - 5*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB