Magma V2.19-8 Tue Aug 20 2013 16:19:20 on localhost [Seed = 3187417276] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3442 geometric_solution 6.61352273 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 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 -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 0.840389324517 1.480694167119 0 3 5 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 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 0.425172843379 0.413102972362 4 0 3 5 0321 0132 3201 0321 0 0 0 0 0 0 0 0 1 0 0 -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 1 -1 0 1 0 0 -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 0.688627402762 0.660164629581 2 1 0 0 2310 0132 2031 0132 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 0 0 0 0 0 0 0 0 0 0 1 0 -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 0.840389324517 1.480694167119 2 6 1 5 0321 0132 0132 1302 0 0 0 0 0 -1 1 0 -1 0 0 1 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 0 0 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 0.760259507486 0.930480886888 6 2 4 1 2310 0321 2031 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760259507486 0.930480886888 6 4 5 6 3012 0132 3201 1230 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431342731570 0.808148233868 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_4']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_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' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_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_0011_4']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_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_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 136610690/25853*c_1001_0^15 + 379389119/51706*c_1001_0^14 - 711838169/51706*c_1001_0^13 - 2210399135/51706*c_1001_0^12 + 7959356819/51706*c_1001_0^11 - 219859213/51706*c_1001_0^10 - 18045560953/51706*c_1001_0^9 + 5382216207/25853*c_1001_0^8 + 8324402316/25853*c_1001_0^7 - 16686100811/51706*c_1001_0^6 - 2511534123/25853*c_1001_0^5 + 10172083397/51706*c_1001_0^4 - 1596707843/51706*c_1001_0^3 - 1044344343/25853*c_1001_0^2 + 493165282/25853*c_1001_0 - 64077761/25853, c_0011_0 - 1, c_0011_4 - 31023765/25853*c_1001_0^15 + 85968449/51706*c_1001_0^14 - 81420736/25853*c_1001_0^13 - 250997597/25853*c_1001_0^12 + 1802561885/51706*c_1001_0^11 - 59093783/51706*c_1001_0^10 - 4072679357/51706*c_1001_0^9 + 1229140188/25853*c_1001_0^8 + 3728803819/51706*c_1001_0^7 - 1897821913/25853*c_1001_0^6 - 1092003267/51706*c_1001_0^5 + 2307280497/51706*c_1001_0^4 - 383828471/51706*c_1001_0^3 - 471257661/51706*c_1001_0^2 + 226992637/51706*c_1001_0 - 29826053/51706, c_0101_0 + c_1001_0, c_0101_1 - 17690760/25853*c_1001_0^15 + 23938158/25853*c_1001_0^14 - 92053353/51706*c_1001_0^13 - 288517143/51706*c_1001_0^12 + 508431812/25853*c_1001_0^11 - 3708298/25853*c_1001_0^10 - 1151943346/25853*c_1001_0^9 + 667239759/25853*c_1001_0^8 + 2124746147/51706*c_1001_0^7 - 2086826113/51706*c_1001_0^6 - 642966103/51706*c_1001_0^5 + 636683422/25853*c_1001_0^4 - 100314726/25853*c_1001_0^3 - 260464605/51706*c_1001_0^2 + 124377213/51706*c_1001_0 - 16489553/51706, c_0101_3 + 14612910/25853*c_1001_0^15 - 19595538/25853*c_1001_0^14 + 75499059/51706*c_1001_0^13 + 119616648/25853*c_1001_0^12 - 418590448/25853*c_1001_0^11 - 2351036/25853*c_1001_0^10 + 951904902/25853*c_1001_0^9 - 538740495/25853*c_1001_0^8 - 1769614867/51706*c_1001_0^7 + 849895130/25853*c_1001_0^6 + 552886905/51706*c_1001_0^5 - 1042312147/51706*c_1001_0^4 + 152576945/51706*c_1001_0^3 + 107574520/25853*c_1001_0^2 - 99803659/51706*c_1001_0 + 6460734/25853, c_0101_5 + 3796075/25853*c_1001_0^15 - 6251255/51706*c_1001_0^14 + 15513783/51706*c_1001_0^13 + 71075395/51706*c_1001_0^12 - 182645807/51706*c_1001_0^11 - 103400111/51706*c_1001_0^10 + 463468387/51706*c_1001_0^9 - 16520085/25853*c_1001_0^8 - 265496161/25853*c_1001_0^7 + 181707203/51706*c_1001_0^6 + 147471553/25853*c_1001_0^5 - 150250139/51706*c_1001_0^4 - 65161355/51706*c_1001_0^3 + 22225899/25853*c_1001_0^2 + 10687/25853*c_1001_0 - 1071792/25853, c_1001_0^16 - 9/5*c_1001_0^15 + 16/5*c_1001_0^14 + 7*c_1001_0^13 - 162/5*c_1001_0^12 + 13*c_1001_0^11 + 326/5*c_1001_0^10 - 334/5*c_1001_0^9 - 218/5*c_1001_0^8 + 86*c_1001_0^7 - 39/5*c_1001_0^6 - 222/5*c_1001_0^5 + 108/5*c_1001_0^4 + 5*c_1001_0^3 - 34/5*c_1001_0^2 + 2*c_1001_0 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB