Magma V2.19-8 Tue Aug 20 2013 16:17:31 on localhost [Seed = 1393741704] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1762 geometric_solution 5.44887638 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 1023 2031 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 1 0 -1 0 0 1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409830566415 0.055196783721 0 2 0 2 0132 0132 1023 2310 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 1 -1 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 -0.846199790627 0.901545819988 1 1 3 4 3201 0132 0132 0132 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 -1 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 0 0 0 0 0.665010797306 2.167479548224 4 5 6 2 1302 0132 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 1 -1 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 0.489246001706 0.647656257656 5 3 2 6 0132 2031 0132 2310 0 0 0 0 0 0 0 0 1 0 -1 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 0.489246001706 0.647656257656 4 3 5 5 0132 0132 1230 3012 0 0 0 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.257390797088 0.983054527952 4 6 6 3 3201 1230 3012 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 1 0 -1 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 0.489246001706 0.647656257656 ==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' : 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' : d['c_0011_6'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_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' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : d['c_0011_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_0011_6, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 36362592510525949120154650752/1325542367729524679374110889*c_0101_5\ ^18 + 33322516564615374148051592287/1325542367729524679374110889*c_\ 0101_5^17 - 39883860148276375393714931206/1325542367729524679374110\ 889*c_0101_5^16 + 1674485414337714005807956425342/13255423677295246\ 79374110889*c_0101_5^15 + 2606776087422540932699999085236/132554236\ 7729524679374110889*c_0101_5^14 + 834394369280869102415378207628/13\ 25542367729524679374110889*c_0101_5^13 + 7933533388992743484993779648650/1325542367729524679374110889*c_0101\ _5^12 - 11566922968742765587556340994811/13255423677295246793741108\ 89*c_0101_5^11 - 3603015348521190661681800343502/132554236772952467\ 9374110889*c_0101_5^10 - 2967275230777417310601272007843/1325542367\ 729524679374110889*c_0101_5^9 - 20226813637895618407064671230402/13\ 25542367729524679374110889*c_0101_5^8 + 18698788500574930322538665782039/1325542367729524679374110889*c_010\ 1_5^7 - 4461111333768435290108020640569/132554236772952467937411088\ 9*c_0101_5^6 + 5458381215897104946758371067474/13255423677295246793\ 74110889*c_0101_5^5 + 2803780487122134818961788634141/1325542367729\ 524679374110889*c_0101_5^4 - 1112331727495960251391475540895/132554\ 2367729524679374110889*c_0101_5^3 + 665132885629737047385876117253/1325542367729524679374110889*c_0101_\ 5^2 - 337068172978025579932549356155/1325542367729524679374110889*c\ _0101_5 + 44207110224525089774312857489/132554236772952467937411088\ 9, c_0011_0 - 1, c_0011_3 - 3590786488244009045963573/10954895601070451895653809*c_0101_\ 5^18 + 2607567477279789040993577/10954895601070451895653809*c_0101_\ 5^17 - 3200183637427865410924918/10954895601070451895653809*c_0101_\ 5^16 + 164614583115546500417844788/10954895601070451895653809*c_010\ 1_5^15 + 288828903577271368614519026/10954895601070451895653809*c_0\ 101_5^14 + 126322197165896621674740587/10954895601070451895653809*c\ _0101_5^13 + 785894997180000351231909010/10954895601070451895653809\ *c_0101_5^12 - 1000998319336938741165180969/10954895601070451895653\ 809*c_0101_5^11 - 593913116106769533600972206/109548956010704518956\ 53809*c_0101_5^10 - 347199576763088274538428041/1095489560107045189\ 5653809*c_0101_5^9 - 1998606071315249222132401307/10954895601070451\ 895653809*c_0101_5^8 + 1472000325079719664386749468/109548956010704\ 51895653809*c_0101_5^7 - 40695418026600818301570516/109548956010704\ 51895653809*c_0101_5^6 + 455170583622272653662521083/10954895601070\ 451895653809*c_0101_5^5 + 326422565449034162876513075/1095489560107\ 0451895653809*c_0101_5^4 - 45278017099179019775402576/1095489560107\ 0451895653809*c_0101_5^3 + 33619623412847052811170915/1095489560107\ 0451895653809*c_0101_5^2 - 24065082952991980438218642/1095489560107\ 0451895653809*c_0101_5 - 8948280455248222814517992/1095489560107045\ 1895653809, c_0011_6 + 1498538308981354623978369/10954895601070451895653809*c_0101_\ 5^18 - 848976205782147229087101/10954895601070451895653809*c_0101_5\ ^17 + 1119306300295727890530902/10954895601070451895653809*c_0101_5\ ^16 - 68584606654219075996648791/10954895601070451895653809*c_0101_\ 5^15 - 131456803968093634267730243/10954895601070451895653809*c_010\ 1_5^14 - 70124799088876214203124378/10954895601070451895653809*c_01\ 01_5^13 - 327030942682098308271616325/10954895601070451895653809*c_\ 0101_5^12 + 377789985747937988169526673/10954895601070451895653809*\ c_0101_5^11 + 329294513195141543258999199/1095489560107045189565380\ 9*c_0101_5^10 + 202664704762766433483689064/10954895601070451895653\ 809*c_0101_5^9 + 818582326300512002269395567/1095489560107045189565\ 3809*c_0101_5^8 - 506377530838694827120580180/109548956010704518956\ 53809*c_0101_5^7 - 113425674233406831139739257/10954895601070451895\ 653809*c_0101_5^6 - 243065108106160266539892261/1095489560107045189\ 5653809*c_0101_5^5 - 122443207625385433705592807/109548956010704518\ 95653809*c_0101_5^4 + 208710105047603928624542/10954895601070451895\ 653809*c_0101_5^3 + 2105997824286002599986160/109548956010704518956\ 53809*c_0101_5^2 + 14144055835052919495604303/109548956010704518956\ 53809*c_0101_5 + 6279931943625124069668642/109548956010704518956538\ 09, c_0101_0 - 5296735615204107803824936/10954895601070451895653809*c_0101_\ 5^18 + 2401562140433776290642249/10954895601070451895653809*c_0101_\ 5^17 - 3772439216910252988813347/10954895601070451895653809*c_0101_\ 5^16 + 241503718238613270846538304/10954895601070451895653809*c_010\ 1_5^15 + 492513789864209119438989948/10954895601070451895653809*c_0\ 101_5^14 + 307010413538966418422344898/10954895601070451895653809*c\ _0101_5^13 + 1223062996968108419653501685/1095489560107045189565380\ 9*c_0101_5^12 - 1159601905202945679576761076/1095489560107045189565\ 3809*c_0101_5^11 - 1276754909997667222622825451/1095489560107045189\ 5653809*c_0101_5^10 - 769948675275625888771499792/10954895601070451\ 895653809*c_0101_5^9 - 3180599305708399567462908589/109548956010704\ 51895653809*c_0101_5^8 + 1395185807666023745415581500/1095489560107\ 0451895653809*c_0101_5^7 + 536640125849712469775395147/109548956010\ 70451895653809*c_0101_5^6 + 672374249892831402179948295/10954895601\ 070451895653809*c_0101_5^5 + 804076927421346956187205127/1095489560\ 1070451895653809*c_0101_5^4 + 10806416108399098249612379/1095489560\ 1070451895653809*c_0101_5^3 + 12494042472154450355270242/1095489560\ 1070451895653809*c_0101_5^2 - 36405163050472244550621836/1095489560\ 1070451895653809*c_0101_5 - 22763331889969147419956303/109548956010\ 70451895653809, c_0101_1 - 4390800464800377178459671/10954895601070451895653809*c_0101_\ 5^18 + 1428826245526040018411106/10954895601070451895653809*c_0101_\ 5^17 - 1816132823928267453068452/10954895601070451895653809*c_0101_\ 5^16 + 199202774576413763380113984/10954895601070451895653809*c_010\ 1_5^15 + 434527279219958823175277801/10954895601070451895653809*c_0\ 101_5^14 + 258635368077605045645606313/10954895601070451895653809*c\ _0101_5^13 + 953401530271798427668486828/10954895601070451895653809\ *c_0101_5^12 - 873895781662856251461012706/109548956010704518956538\ 09*c_0101_5^11 - 1404082468810537382742105160/109548956010704518956\ 53809*c_0101_5^10 - 511011974570260330746550212/1095489560107045189\ 5653809*c_0101_5^9 - 2453078092118346174947383005/10954895601070451\ 895653809*c_0101_5^8 + 897051365856893326334723340/1095489560107045\ 1895653809*c_0101_5^7 + 1170879921437146255976376617/10954895601070\ 451895653809*c_0101_5^6 + 264913013571454365186566269/1095489560107\ 0451895653809*c_0101_5^5 + 575281165642113587277525006/109548956010\ 70451895653809*c_0101_5^4 + 40935805086687928358481840/109548956010\ 70451895653809*c_0101_5^3 - 95297989282784878500408580/109548956010\ 70451895653809*c_0101_5^2 - 18666743519196867331008843/109548956010\ 70451895653809*c_0101_5 - 14370446443390141779150372/10954895601070\ 451895653809, c_0101_4 + 2092248179262654421985204/10954895601070451895653809*c_0101_\ 5^18 - 1758591271497641811906476/10954895601070451895653809*c_0101_\ 5^17 + 2080877337132137520394016/10954895601070451895653809*c_0101_\ 5^16 - 96029976461327424421195997/10954895601070451895653809*c_0101\ _5^15 - 157372099609177734346788783/10954895601070451895653809*c_01\ 01_5^14 - 56197398077020407471616209/10954895601070451895653809*c_0\ 101_5^13 - 458864054497902042960292685/10954895601070451895653809*c\ _0101_5^12 + 623208333589000752995654296/10954895601070451895653809\ *c_0101_5^11 + 264618602911627990341973007/109548956010704518956538\ 09*c_0101_5^10 + 144534872000321841054738977/1095489560107045189565\ 3809*c_0101_5^9 + 1180023745014737219863005740/10954895601070451895\ 653809*c_0101_5^8 - 965622794241024837266169288/1095489560107045189\ 5653809*c_0101_5^7 + 154121092260007649441309773/109548956010704518\ 95653809*c_0101_5^6 - 212105475516112387122628822/10954895601070451\ 895653809*c_0101_5^5 - 203979357823648729170920268/1095489560107045\ 1895653809*c_0101_5^4 + 45069306994131415846778034/1095489560107045\ 1895653809*c_0101_5^3 - 35725621237133055411157075/1095489560107045\ 1895653809*c_0101_5^2 + 9921027117939060942614339/10954895601070451\ 895653809*c_0101_5 + 2668348511623098744849350/10954895601070451895\ 653809, c_0101_5^19 - c_0101_5^18 + c_0101_5^17 - 46*c_0101_5^16 - 68*c_0101_5^15 - 9*c_0101_5^14 - 203*c_0101_5^13 + 341*c_0101_5^12 + 110*c_0101_5^11 + 22*c_0101_5^10 + 524*c_0101_5^9 - 572*c_0101_5^8 + 68*c_0101_5^7 - 81*c_0101_5^6 - 70*c_0101_5^5 + 53*c_0101_5^4 - 2*c_0101_5^3 + 6*c_0101_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB