Magma V2.19-8 Tue Aug 20 2013 16:18:58 on localhost [Seed = 2648441073] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3118 geometric_solution 6.27400716 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548399480214 0.444838577821 2 0 3 0 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.351773405841 0.447294888506 1 4 5 6 0132 0132 0132 0132 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 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 0.693089084418 0.650897584849 6 5 4 1 0132 1023 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693089084418 0.650897584849 6 2 6 3 1302 0132 2031 0132 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 0 0 0 1 0 -1 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 0.504598179924 0.723315534392 3 5 5 2 1023 3201 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 0.325138224814 0.629133601073 3 4 2 4 0132 2031 0132 1302 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 -1 0 1 0 0 0 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 0.960147458551 1.005855772725 ==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' : negation(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' : 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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : 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_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 654286099943344899393363357984/8431731335736849183548925161*c_0101_\ 5^23 - 4157853737109301391134211785024/4215865667868424591774462580\ 5*c_0101_5^21 + 122758882204621262720965928813398/42158656678684245\ 917744625805*c_0101_5^19 - 34132111718006442558783926627056/6022665\ 239812035131106375115*c_0101_5^17 + 239273345010615953695743639547967/8431731335736849183548925161*c_01\ 01_5^15 - 1086453002123599484613179868797755/1686346267147369836709\ 7850322*c_0101_5^13 + 5153316818133178814995969955533067/8431731335\ 7368491835489251610*c_0101_5^11 - 427504213523349181068690661271051\ 1/12045330479624070262212750230*c_0101_5^9 - 767484844341117658746562923123763/12045330479624070262212750230*c_0\ 101_5^7 + 3698125783255753078072246200988098/4215865667868424591774\ 4625805*c_0101_5^5 + 294203364990486034283941926551833/120453304796\ 24070262212750230*c_0101_5^3 - 16098669880198675199490937756492/421\ 58656678684245917744625805*c_0101_5, c_0011_0 - 1, c_0011_1 + 350983026851327604400892/23994682230326833191658865*c_0101_5\ ^22 - 362667695073203707833867/23994682230326833191658865*c_0101_5^\ 20 + 13061787678078206604662222/23994682230326833191658865*c_0101_5\ ^18 - 22479979939516134048202119/23994682230326833191658865*c_0101_\ 5^16 + 24426237388538483967495611/4798936446065366638331773*c_0101_\ 5^14 - 259964657785286766787700883/23994682230326833191658865*c_010\ 1_5^12 + 40920053745610070895577963/4798936446065366638331773*c_010\ 1_5^10 - 1530148161339512344647962528/23994682230326833191658865*c_\ 0101_5^8 - 137578208048022093863999352/4798936446065366638331773*c_\ 0101_5^6 + 359180246699490377114314662/23994682230326833191658865*c\ _0101_5^4 + 124990480269194289610418287/23994682230326833191658865*\ c_0101_5^2 + 5348006089186097849135741/23994682230326833191658865, c_0011_3 - 3420365062656441087406296/23994682230326833191658865*c_0101_\ 5^23 + 4317804524944542080505622/23994682230326833191658865*c_0101_\ 5^21 - 128367372108922563501326758/23994682230326833191658865*c_010\ 1_5^19 + 49755786541472610265435916/4798936446065366638331773*c_010\ 1_5^17 - 250169025745653955102316901/4798936446065366638331773*c_01\ 01_5^15 + 2833421918634180669258870514/23994682230326833191658865*c\ _0101_5^13 - 2691055174423953956686826634/2399468223032683319165886\ 5*c_0101_5^11 + 15670151463480449748306098113/239946822303268331916\ 58865*c_0101_5^9 + 2893083935501859284791536807/2399468223032683319\ 1658865*c_0101_5^7 - 3575151253810443387347368998/23994682230326833\ 191658865*c_0101_5^5 - 1081293827998083818427772133/239946822303268\ 33191658865*c_0101_5^3 - 7141595706314736557197852/4798936446065366\ 638331773*c_0101_5, c_0101_0 - 7880641560248544593135488/23994682230326833191658865*c_0101_\ 5^23 + 10201621535595342751086552/23994682230326833191658865*c_0101\ _5^21 - 295998382498250571773119106/23994682230326833191658865*c_01\ 01_5^19 + 582609187883555845743948283/23994682230326833191658865*c_\ 0101_5^17 - 579451207794418265527884812/4798936446065366638331773*c\ _0101_5^15 + 6615398097933436410035219367/2399468223032683319165886\ 5*c_0101_5^13 - 6380096341383384220939724631/2399468223032683319165\ 8865*c_0101_5^11 + 36240134547562362247475507523/239946822303268331\ 91658865*c_0101_5^9 + 5557179255757590246041788988/2399468223032683\ 3191658865*c_0101_5^7 - 8824139092756389883861369521/23994682230326\ 833191658865*c_0101_5^5 - 2398610582304301024500060126/239946822303\ 26833191658865*c_0101_5^3 + 43274712334863772602104003/239946822303\ 26833191658865*c_0101_5, c_0101_1 - 237873492954571144126064/23994682230326833191658865*c_0101_5\ ^22 + 229091446213503910642284/23994682230326833191658865*c_0101_5^\ 20 - 8772769400530354513569724/23994682230326833191658865*c_0101_5^\ 18 + 14545566682701522543846483/23994682230326833191658865*c_0101_5\ ^16 - 15874658039330776759845671/4798936446065366638331773*c_0101_5\ ^14 + 166155313495866206765213496/23994682230326833191658865*c_0101\ _5^12 - 20806455854206261505252779/4798936446065366638331773*c_0101\ _5^10 + 977354198733627365335558626/23994682230326833191658865*c_01\ 01_5^8 + 117138009069159422413937112/4798936446065366638331773*c_01\ 01_5^6 - 495486276407744034016667649/23994682230326833191658865*c_0\ 101_5^4 - 170971975812652197981238609/23994682230326833191658865*c_\ 0101_5^2 + 18445834357429799681412183/23994682230326833191658865, c_0101_3 + 104928547202739900686552/23994682230326833191658865*c_0101_5\ ^22 - 131432022369066922936138/23994682230326833191658865*c_0101_5^\ 20 + 3945765174382854854240119/23994682230326833191658865*c_0101_5^\ 18 - 7593928917850355372211862/23994682230326833191658865*c_0101_5^\ 16 + 7727070047258452492930864/4798936446065366638331773*c_0101_5^1\ 4 - 86768811825805355655631173/23994682230326833191658865*c_0101_5^\ 12 + 84592051466376118380172624/23994682230326833191658865*c_0101_5\ ^10 - 482913068317989726261911347/23994682230326833191658865*c_0101\ _5^8 - 94885632195780485229630157/23994682230326833191658865*c_0101\ _5^6 + 77177280284661872888103379/23994682230326833191658865*c_0101\ _5^4 - 41855713869820273720870296/23994682230326833191658865*c_0101\ _5^2 - 6293044893076893237411847/23994682230326833191658865, c_0101_5^24 - 5/4*c_0101_5^22 + 75/2*c_0101_5^20 - 289/4*c_0101_5^18 + 1457/4*c_0101_5^16 - 3291/4*c_0101_5^14 + 771*c_0101_5^12 - 4559*c_0101_5^10 - 3661/4*c_0101_5^8 + 2207/2*c_0101_5^6 + 337*c_0101_5^4 + 4*c_0101_5^2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB