Magma V2.19-8 Tue Aug 20 2013 16:17:13 on localhost [Seed = 1191631770] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1455 geometric_solution 5.27408197 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 3201 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 1 -1 0 0 1 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.405460604342 0.063452819769 0 2 0 2 0132 0132 2310 2310 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.838760952472 1.060435983538 1 1 3 4 3201 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 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 -0.102737984766 1.328974600302 4 5 6 2 1302 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488359250749 0.438656847367 5 3 2 6 3201 2031 0132 3201 0 0 0 0 0 0 0 0 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 -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 0.488359250749 0.438656847367 5 3 5 4 2310 0132 3201 2310 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.866691300605 1.017967040470 6 4 6 3 2031 2310 1302 0132 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.866691300605 1.017967040470 ==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_0011_6']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0011_6']), '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_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], '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_0101_4']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0110_4']), 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : negation(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_6, c_0101_0, c_0101_1, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 11097/2368*c_0110_4^5 + 792585/4736*c_0110_4^4 - 328023/592*c_0110_4^3 + 248643/592*c_0110_4^2 + 189/2*c_0110_4 - 41247/296, c_0011_0 - 1, c_0011_3 - 225/4736*c_0110_4^5 - 1017/592*c_0110_4^4 + 2877/592*c_0110_4^3 - 471/296*c_0110_4^2 - 13/8*c_0110_4 + 1/74, c_0011_6 - 171/2368*c_0110_4^5 - 6321/2368*c_0110_4^4 + 3081/592*c_0110_4^3 + 141/296*c_0110_4^2 - 3/2*c_0110_4 - 105/148, c_0101_0 + 45/1184*c_0110_4^5 + 1605/1184*c_0110_4^4 - 2679/592*c_0110_4^3 + 699/148*c_0110_4^2 - 3/4*c_0110_4 - 97/74, c_0101_1 - 81/2368*c_0110_4^5 - 3111/2368*c_0110_4^4 + 201/296*c_0110_4^3 + 1539/296*c_0110_4^2 - 9/4*c_0110_4 - 299/148, c_0101_4 - 171/2368*c_0110_4^5 - 6321/2368*c_0110_4^4 + 3081/592*c_0110_4^3 + 141/296*c_0110_4^2 - 3/2*c_0110_4 - 105/148, c_0110_4^6 + 36*c_0110_4^5 - 108*c_0110_4^4 + 160/3*c_0110_4^3 + 48*c_0110_4^2 - 64/3*c_0110_4 - 64/9 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 15*c_0110_4^5 + 22*c_0110_4^4 + 33*c_0110_4^3 + 43*c_0110_4^2 + 24*c_0110_4 + 36, c_0011_0 - 1, c_0011_3 - c_0110_4^3 - c_0110_4, c_0011_6 + c_0110_4^5 + c_0110_4^4 + 2*c_0110_4^3 + 2*c_0110_4^2 + 2*c_0110_4 + 1, c_0101_0 + c_0110_4^3 + c_0110_4, c_0101_1 - c_0110_4^4 - c_0110_4^3 - 2*c_0110_4^2 - c_0110_4 - 1, c_0101_4 - c_0110_4^5 - c_0110_4^4 - 2*c_0110_4^3 - 2*c_0110_4^2 - c_0110_4 - 1, c_0110_4^6 + 2*c_0110_4^5 + 3*c_0110_4^4 + 4*c_0110_4^3 + 3*c_0110_4^2 + 3*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB