Magma V2.19-8 Tue Aug 20 2013 16:15:47 on localhost [Seed = 2884253574] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0010 geometric_solution 3.54707485 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.489457125540 0.262821418013 0 3 4 0 0132 0132 0132 1023 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 0.265542326082 1.059876449458 5 0 0 5 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.346854921770 0.063562441764 6 1 4 6 0132 0132 1302 1023 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 -1 1 0 0 0 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 0.260600511093 0.260477608868 3 6 6 1 2031 3201 2310 0132 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 1 0 -1 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 0.260600511093 0.260477608868 2 5 5 2 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.510248181166 0.034259521296 3 4 4 3 0132 3201 2310 1023 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 -1 1 0 0 0 1 -1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.080449423107 1.918645294564 ==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' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : 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' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), '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_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 71462/83481781*c_0101_6^10 - 312120189/166963562*c_0101_6^9 - 3894308373/333927124*c_0101_6^8 + 1378864547/333927124*c_0101_6^7 - 26882839949/333927124*c_0101_6^6 - 3239619267/333927124*c_0101_6^5 - 21965842857/166963562*c_0101_6^4 + 709626877/166963562*c_0101_6^3 - 509134923/8144564*c_0101_6^2 - 337710393/166963562*c_0101_6 - 1587310395/166963562, c_0011_0 - 1, c_0011_4 - 41105/479092*c_0101_6^10 - 263629/479092*c_0101_6^9 + 51929/479092*c_0101_6^8 - 1767655/479092*c_0101_6^7 - 138551/119773*c_0101_6^6 - 1492775/239546*c_0101_6^5 - 641361/479092*c_0101_6^4 - 893965/239546*c_0101_6^3 - 262566/119773*c_0101_6^2 - 101948/119773*c_0101_6 - 62351/119773, c_0101_0 + 128637/479092*c_0101_6^10 + 788463/479092*c_0101_6^9 - 94693/119773*c_0101_6^8 + 1414474/119773*c_0101_6^7 - 107993/479092*c_0101_6^6 + 9604759/479092*c_0101_6^5 - 1929591/479092*c_0101_6^4 + 2880101/239546*c_0101_6^3 - 1783353/479092*c_0101_6^2 + 629873/239546*c_0101_6 - 290432/119773, c_0101_1 - 62351/479092*c_0101_6^10 - 72974/119773*c_0101_6^9 + 714311/479092*c_0101_6^8 - 3159057/479092*c_0101_6^7 + 2017059/239546*c_0101_6^6 - 5563149/479092*c_0101_6^5 + 7155769/479092*c_0101_6^4 - 5014729/479092*c_0101_6^3 + 4386423/479092*c_0101_6^2 - 280502/119773*c_0101_6 + 266247/119773, c_0101_2 - 60312/119773*c_0101_6^10 - 1484437/479092*c_0101_6^9 + 149765/119773*c_0101_6^8 - 5524475/239546*c_0101_6^7 + 72482/119773*c_0101_6^6 - 21145173/479092*c_0101_6^5 + 1709967/239546*c_0101_6^4 - 14574927/479092*c_0101_6^3 + 3412231/479092*c_0101_6^2 - 1850977/239546*c_0101_6 + 362766/119773, c_0101_5 + 49767/119773*c_0101_6^10 + 1180113/479092*c_0101_6^9 - 370019/239546*c_0101_6^8 + 4717361/239546*c_0101_6^7 - 562291/119773*c_0101_6^6 + 18666757/479092*c_0101_6^5 - 1410269/119773*c_0101_6^4 + 14032755/479092*c_0101_6^3 - 4043301/479092*c_0101_6^2 + 889546/119773*c_0101_6 - 313793/119773, c_0101_6^11 + 6*c_0101_6^10 - 3*c_0101_6^9 + 49*c_0101_6^8 - 8*c_0101_6^7 + 107*c_0101_6^6 - 19*c_0101_6^5 + 101*c_0101_6^4 - 13*c_0101_6^3 + 44*c_0101_6^2 - 4*c_0101_6 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB