Magma V2.19-8 Tue Aug 20 2013 16:16:18 on localhost [Seed = 2547387254] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0571 geometric_solution 4.59212570 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 2310 0 0 0 0 0 -1 0 1 0 0 -1 1 0 -1 0 1 1 -1 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 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.516105428068 0.568399690093 0 3 4 3 0132 1230 0132 2310 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 0 0 0 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 0.462018678034 1.043572134294 0 0 5 5 3201 0132 3201 0132 0 0 0 0 0 1 0 -1 -1 0 1 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 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 0.389832886930 0.353189125099 1 4 1 0 3201 0132 3012 0132 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 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 0.462018678034 1.043572134294 6 3 6 1 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.408802480154 1.276376960703 2 5 2 5 2310 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.286432795606 0.496091581722 4 4 6 6 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417698606743 0.090628844592 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_1'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), '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_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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_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' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_5'])})} 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_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 1591/639*c_0101_5^5 + 76/213*c_0101_5^4 - 1537/213*c_0101_5^3 + 3239/213*c_0101_5^2 - 421/639*c_0101_5 - 59/639, c_0011_0 - 1, c_0011_3 - c_0101_5, c_0011_5 + 9/71*c_0101_5^5 + 12/71*c_0101_5^4 - 11/71*c_0101_5^3 - 8/71*c_0101_5^2 + 4/71*c_0101_5 + 38/71, c_0101_0 + 11/71*c_0101_5^5 - 9/71*c_0101_5^4 - 45/71*c_0101_5^3 + 77/71*c_0101_5^2 - 74/71*c_0101_5 + 7/71, c_0101_1 + 15/71*c_0101_5^5 + 20/71*c_0101_5^4 - 42/71*c_0101_5^3 + 34/71*c_0101_5^2 + 54/71*c_0101_5 + 16/71, c_0101_4 + 9/71*c_0101_5^5 + 12/71*c_0101_5^4 - 11/71*c_0101_5^3 - 8/71*c_0101_5^2 + 4/71*c_0101_5 + 38/71, c_0101_5^6 - 3*c_0101_5^4 + 6*c_0101_5^3 - c_0101_5^2 + c_0101_5 - 3 ], 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_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 22329/439*c_0101_5^9 + 34127/439*c_0101_5^8 + 192318/439*c_0101_5^7 - 202688/439*c_0101_5^6 - 260699/439*c_0101_5^5 + 319607/439*c_0101_5^4 - 35860/439*c_0101_5^3 + 92085/439*c_0101_5^2 - 119596/439*c_0101_5 + 11669/439, c_0011_0 - 1, c_0011_3 - 255/439*c_0101_5^9 + 379/439*c_0101_5^8 + 2042/439*c_0101_5^7 - 2089/439*c_0101_5^6 - 1492/439*c_0101_5^5 + 3119/439*c_0101_5^4 - 2562/439*c_0101_5^3 + 1873/439*c_0101_5^2 - 957/439*c_0101_5 + 782/439, c_0011_5 + 672/439*c_0101_5^9 - 1288/439*c_0101_5^8 - 5655/439*c_0101_5^7 + 8480/439*c_0101_5^6 + 7950/439*c_0101_5^5 - 12563/439*c_0101_5^4 + 1370/439*c_0101_5^3 - 2932/439*c_0101_5^2 + 5094/439*c_0101_5 - 217/439, c_0101_0 + 656/439*c_0101_5^9 - 672/439*c_0101_5^8 - 5928/439*c_0101_5^7 + 3031/439*c_0101_5^6 + 8576/439*c_0101_5^5 - 5982/439*c_0101_5^4 - 1213/439*c_0101_5^3 - 2026/439*c_0101_5^2 + 1837/439*c_0101_5 + 154/439, c_0101_1 - 845/439*c_0101_5^9 + 1583/439*c_0101_5^8 + 6956/439*c_0101_5^7 - 10245/439*c_0101_5^6 - 8370/439*c_0101_5^5 + 15483/439*c_0101_5^4 - 3919/439*c_0101_5^3 + 3564/439*c_0101_5^2 - 5986/439*c_0101_5 + 1128/439, c_0101_4 + 384/439*c_0101_5^9 - 736/439*c_0101_5^8 - 3106/439*c_0101_5^7 + 4783/439*c_0101_5^6 + 3414/439*c_0101_5^5 - 7367/439*c_0101_5^4 + 2288/439*c_0101_5^3 - 1111/439*c_0101_5^2 + 2660/439*c_0101_5 - 1002/439, c_0101_5^10 - 11*c_0101_5^8 - 4*c_0101_5^7 + 26*c_0101_5^6 + 3*c_0101_5^5 - 21*c_0101_5^4 - c_0101_5^3 - c_0101_5^2 + 8*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB