Magma V2.19-8 Tue Aug 20 2013 16:16:46 on localhost [Seed = 1377029786] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1054 geometric_solution 4.92922420 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 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 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 0.541595861229 0.291168348839 0 5 5 6 0132 0132 2031 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 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 0.609088325731 0.383185538322 4 0 5 3 0321 0132 3120 3012 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 -1 1 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 1.554368835515 0.987301311320 6 6 2 0 0132 2310 1230 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 0 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 0.576150685375 0.527490016591 2 4 0 4 0321 2310 0132 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 0 -1 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 -1.194991167392 1.399189670284 6 1 2 1 1230 0132 3120 1302 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.304590969324 1.278806507393 3 5 1 3 0132 3012 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.899945325563 0.813943056422 ==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_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(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_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), '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_6' : negation(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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0011_0'], '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_0011_4']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_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_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 7812/1405*c_0101_5^7 - 41222/1405*c_0101_5^6 + 16148/281*c_0101_5^5 - 50532/1405*c_0101_5^4 - 53717/1405*c_0101_5^3 + 78324/1405*c_0101_5^2 - 21414/1405*c_0101_5 + 14203/1405, c_0011_0 - 1, c_0011_3 + 320/281*c_0101_5^7 - 1690/281*c_0101_5^6 + 3523/281*c_0101_5^5 - 3004/281*c_0101_5^4 - 821/281*c_0101_5^3 + 2797/281*c_0101_5^2 - 1756/281*c_0101_5 + 611/281, c_0011_4 + 116/281*c_0101_5^7 - 718/281*c_0101_5^6 + 1674/281*c_0101_5^5 - 1665/281*c_0101_5^4 + 15/281*c_0101_5^3 + 1179/281*c_0101_5^2 - 763/281*c_0101_5 + 506/281, c_0101_0 + c_0101_5, c_0101_1 + 250/281*c_0101_5^7 - 1373/281*c_0101_5^6 + 3007/281*c_0101_5^5 - 2663/281*c_0101_5^4 - 738/281*c_0101_5^3 + 2633/281*c_0101_5^2 - 1407/281*c_0101_5 + 451/281, c_0101_3 + 326/281*c_0101_5^7 - 1669/281*c_0101_5^6 + 3222/281*c_0101_5^5 - 2126/281*c_0101_5^4 - 1639/281*c_0101_5^3 + 2233/281*c_0101_5^2 - 686/281*c_0101_5 + 424/281, c_0101_5^8 - 11/2*c_0101_5^7 + 12*c_0101_5^6 - 11*c_0101_5^5 - 3/2*c_0101_5^4 + 9*c_0101_5^3 - 6*c_0101_5^2 + 3*c_0101_5 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB