Magma V2.19-8 Tue Aug 20 2013 16:16:08 on localhost [Seed = 1191631750] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0390 geometric_solution 4.45673703 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 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 -1 0 1 0 0 -1 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 0.802814540186 0.090325978968 0 3 0 3 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 1 -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 0.670595928442 0.318244769110 2 0 2 0 2310 0132 3201 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 1 0 -1 0 0 1 -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 0.850383749107 0.048754219144 4 1 5 1 0132 0132 0132 1023 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 -1 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 1.719336279982 1.601375389877 3 5 5 6 0132 3201 2310 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 -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 -0.172472748197 0.815190860209 6 4 4 3 1023 3201 2310 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 -1 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.172472748197 0.815190860209 6 5 4 6 3201 1023 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0.248418514233 1.174147825825 ==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' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : 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_0011_5'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], '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_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_5'], '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_0101_4']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : negation(d['c_0101_2'])})} 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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 262996041206313668/1000055958477886495*c_0101_4^27 + 9316812171745822308/200011191695577299*c_0101_4^25 - 834672565457861183612/1000055958477886495*c_0101_4^23 + 1954371380336695790742/1000055958477886495*c_0101_4^21 - 4531155338182794541296/1000055958477886495*c_0101_4^19 + 12343762660750819249581/1000055958477886495*c_0101_4^17 - 11288633083856036343873/1000055958477886495*c_0101_4^15 + 8148314619973431902109/1000055958477886495*c_0101_4^13 - 2155291867559837904133/200011191695577299*c_0101_4^11 + 5216342747027283766276/1000055958477886495*c_0101_4^9 - 1699915459463235806471/1000055958477886495*c_0101_4^7 + 1557944038316313192583/1000055958477886495*c_0101_4^5 - 82916489307147492549/200011191695577299*c_0101_4^3 + 6879126392885612602/1000055958477886495*c_0101_4, c_0011_0 - 1, c_0011_5 + 367564101199061204/200011191695577299*c_0101_4^26 - 7548003237504859088/200011191695577299*c_0101_4^24 + 21846479425444967860/200011191695577299*c_0101_4^22 - 50534467908624912650/200011191695577299*c_0101_4^20 + 134580617613495698066/200011191695577299*c_0101_4^18 - 170158281618148160111/200011191695577299*c_0101_4^16 + 135323087854848375322/200011191695577299*c_0101_4^14 - 142764499208311984879/200011191695577299*c_0101_4^12 + 108534312866332607250/200011191695577299*c_0101_4^10 - 44419862476231168367/200011191695577299*c_0101_4^8 + 24875694203053268259/200011191695577299*c_0101_4^6 - 13047818103902653848/200011191695577299*c_0101_4^4 + 2181867527421780680/200011191695577299*c_0101_4^2 - 183287107654239029/200011191695577299, c_0101_0 - 1247747520560563432/200011191695577299*c_0101_4^27 + 25898615445187126356/200011191695577299*c_0101_4^25 - 79877709816294316676/200011191695577299*c_0101_4^23 + 188968513102466107864/200011191695577299*c_0101_4^21 - 497097200295828937002/200011191695577299*c_0101_4^19 + 683832220745800881478/200011191695577299*c_0101_4^17 - 601694911016224943161/200011191695577299*c_0101_4^15 + 598208099253148430321/200011191695577299*c_0101_4^13 - 482304738094298960097/200011191695577299*c_0101_4^11 + 243918849859927683337/200011191695577299*c_0101_4^9 - 121659994354108207211/200011191695577299*c_0101_4^7 + 62069163584199063612/200011191695577299*c_0101_4^5 - 19083671995486059417/200011191695577299*c_0101_4^3 + 2467279022776649103/200011191695577299*c_0101_4, c_0101_1 + 3860402421001092264/200011191695577299*c_0101_4^27 - 81176567511350666408/200011191695577299*c_0101_4^25 + 268224158117383232216/200011191695577299*c_0101_4^23 - 637938086531225976480/200011191695577299*c_0101_4^21 + 1658805770860077558108/200011191695577299*c_0101_4^19 - 2446196157641849412766/200011191695577299*c_0101_4^17 + 2201602112155327159080/200011191695577299*c_0101_4^15 - 2080854955292711198546/200011191695577299*c_0101_4^13 + 1786269818049370591423/200011191695577299*c_0101_4^11 - 928766489155461523111/200011191695577299*c_0101_4^9 + 421107946372136302393/200011191695577299*c_0101_4^7 - 236368390676486210691/200011191695577299*c_0101_4^5 + 76382152352220781101/200011191695577299*c_0101_4^3 - 8122224856393273449/200011191695577299*c_0101_4, c_0101_2 + 11959418604077350556/200011191695577299*c_0101_4^27 - 247673452241118932276/200011191695577299*c_0101_4^25 + 753486984813433031212/200011191695577299*c_0101_4^23 - 1765220907337287872338/200011191695577299*c_0101_4^21 + 4654452457464649784876/200011191695577299*c_0101_4^19 - 6274473853113651092419/200011191695577299*c_0101_4^17 + 5303702957899580707097/200011191695577299*c_0101_4^15 - 5307713617990620682245/200011191695577299*c_0101_4^13 + 4256193188932104804629/200011191695577299*c_0101_4^11 - 1987193796503957862386/200011191695577299*c_0101_4^9 + 983548713824452836315/200011191695577299*c_0101_4^7 - 529530686896248247153/200011191695577299*c_0101_4^5 + 137977900135445664021/200011191695577299*c_0101_4^3 - 11921783850270894711/200011191695577299*c_0101_4, c_0101_3 - 733148430616956116/200011191695577299*c_0101_4^27 + 15028552941757017232/200011191695577299*c_0101_4^25 - 43039238475065112916/200011191695577299*c_0101_4^23 + 99489585841661269338/200011191695577299*c_0101_4^21 - 265452505687283173346/200011191695577299*c_0101_4^19 + 331151922935925674623/200011191695577299*c_0101_4^17 - 261849431122893231242/200011191695577299*c_0101_4^15 + 279089062551386069247/200011191695577299*c_0101_4^13 - 208596886164864233714/200011191695577299*c_0101_4^11 + 84467011493581090287/200011191695577299*c_0101_4^9 - 48323413996813780307/200011191695577299*c_0101_4^7 + 24061963540628552484/200011191695577299*c_0101_4^5 - 4181170015595814878/200011191695577299*c_0101_4^3 + 550715003350466485/200011191695577299*c_0101_4, c_0101_4^28 - 21*c_0101_4^26 + 69*c_0101_4^24 - 331/2*c_0101_4^22 + 431*c_0101_4^20 - 2541/4*c_0101_4^18 + 2357/4*c_0101_4^16 - 2261/4*c_0101_4^14 + 1917/4*c_0101_4^12 - 1053/4*c_0101_4^10 + 253/2*c_0101_4^8 - 267/4*c_0101_4^6 + 47/2*c_0101_4^4 - 4*c_0101_4^2 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB