Magma V2.19-8 Tue Aug 20 2013 16:16:55 on localhost [Seed = 3187417441] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1168 geometric_solution 5.04254922 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3201 0 0 0 0 0 0 0 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 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 0.306713832537 0.206812163255 0 0 1 1 0132 2310 1230 3012 0 0 0 0 0 0 -1 1 -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 0 -1 1 -1 0 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 1.597664729551 1.264330585745 4 0 3 5 0132 0132 3201 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 -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 -0.402335270449 1.264330585745 2 5 4 0 2310 1023 2310 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 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 -0.402335270449 1.264330585745 2 3 4 4 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.597664729551 1.264330585745 3 6 2 6 1023 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625167649875 0.965267373500 5 5 6 6 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369863246766 0.218344838850 ==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' : negation(d['1']), 's_2_3' : negation(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' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0110_6'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0101_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), '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_3'], 'c_0011_4' : d['c_0011_0'], '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_0101_6']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : d['c_0101_4'], '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_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : negation(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_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 2667815816045851929088/4648606414482557141*c_0110_6^19 + 15924594021923675808736/4648606414482557141*c_0110_6^17 - 30809388746366202532512/4648606414482557141*c_0110_6^15 - 393906124519664942879102/4648606414482557141*c_0110_6^13 - 732819288905140187622203/9297212828965114282*c_0110_6^11 - 164676563337664474514706/4648606414482557141*c_0110_6^9 - 91334775783015447585873/9297212828965114282*c_0110_6^7 - 11060420232175654107392/4648606414482557141*c_0110_6^5 + 373714113604161637484/4648606414482557141*c_0110_6^3 + 64147370021532827448/4648606414482557141*c_0110_6, c_0011_0 - 1, c_0011_3 + 29407637548009089792/4648606414482557141*c_0110_6^19 + 191041904722770805248/4648606414482557141*c_0110_6^17 - 247930186802528213744/4648606414482557141*c_0110_6^15 - 4526132974969824913212/4648606414482557141*c_0110_6^13 - 6317569939862070029424/4648606414482557141*c_0110_6^11 - 3818921380382160939030/4648606414482557141*c_0110_6^9 - 1357183016362602815552/4648606414482557141*c_0110_6^7 - 353324655096013555615/4648606414482557141*c_0110_6^5 - 47950686892762959914/4648606414482557141*c_0110_6^3 - 1731741181981633251/4648606414482557141*c_0110_6, c_0101_0 - 12559636280428633088/4648606414482557141*c_0110_6^18 - 79994081845343038656/4648606414482557141*c_0110_6^16 + 115763811047099145856/4648606414482557141*c_0110_6^14 + 1916189112097567502700/4648606414482557141*c_0110_6^12 + 2455783286327665954563/4648606414482557141*c_0110_6^10 + 1367095376059518905785/4648606414482557141*c_0110_6^8 + 498974119816713264556/4648606414482557141*c_0110_6^6 + 150059909177631908957/4648606414482557141*c_0110_6^4 + 24073159209562057473/4648606414482557141*c_0110_6^2 - 155110737903905293/4648606414482557141, c_0101_1 + 65138501271114674560/4648606414482557141*c_0110_6^19 + 369404499386605535168/4648606414482557141*c_0110_6^17 - 866558429391399674872/4648606414482557141*c_0110_6^15 - 9383915428655898819946/4648606414482557141*c_0110_6^13 - 6097346522235770365603/4648606414482557141*c_0110_6^11 - 1590169991958533280312/4648606414482557141*c_0110_6^9 - 149021569555884561737/4648606414482557141*c_0110_6^7 - 68134915328175814303/4648606414482557141*c_0110_6^5 + 42384229028114904152/4648606414482557141*c_0110_6^3 - 8121691837482066613/4648606414482557141*c_0110_6, c_0101_4 - 1145311761754802176/4648606414482557141*c_0110_6^19 - 4349810882818985728/4648606414482557141*c_0110_6^17 + 31188432800253270080/4648606414482557141*c_0110_6^15 + 158874483426084380752/4648606414482557141*c_0110_6^13 - 246429351359618139424/4648606414482557141*c_0110_6^11 - 728761792672540396243/4648606414482557141*c_0110_6^9 - 546817750199819284220/4648606414482557141*c_0110_6^7 - 239681157362347539903/4648606414482557141*c_0110_6^5 - 56738013432916224394/4648606414482557141*c_0110_6^3 - 11617817461877907389/4648606414482557141*c_0110_6, c_0101_6 - 21817753462117723264/4648606414482557141*c_0110_6^19 - 138841084095113833856/4648606414482557141*c_0110_6^17 + 199270433710381406504/4648606414482557141*c_0110_6^15 + 3313802602430767090706/4648606414482557141*c_0110_6^13 + 4287387358315825437994/4648606414482557141*c_0110_6^11 + 2712542619302005403469/4648606414482557141*c_0110_6^9 + 965271722215545753368/4648606414482557141*c_0110_6^7 + 225505645589836987844/4648606414482557141*c_0110_6^5 + 38032382626002653199/4648606414482557141*c_0110_6^3 + 656448934600682822/4648606414482557141*c_0110_6, c_0110_6^20 + 6*c_0110_6^18 - 181/16*c_0110_6^16 - 9453/64*c_0110_6^14 - 4561/32*c_0110_6^12 - 1177/16*c_0110_6^10 - 811/32*c_0110_6^8 - 229/32*c_0110_6^6 - 9/16*c_0110_6^4 - 3/32*c_0110_6^2 + 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB