Magma V2.19-8 Tue Aug 20 2013 16:19:23 on localhost [Seed = 2033771646] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3482 geometric_solution 6.72238568 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3120 0132 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 1 -1 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 0.459683549401 0.782844012163 0 3 5 4 0132 0321 0132 0132 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 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 0.185449101163 0.858740256589 6 0 0 3 0132 0132 3120 3201 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 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.922824406364 0.848802985792 6 2 0 1 1230 2310 0132 0321 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 -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 0.446756147776 0.400770279508 4 4 1 6 1230 3012 0132 0132 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 1 0 -1 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 0.302138719960 0.974129606955 5 6 5 1 2310 2310 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.461982680599 1.028060385005 2 3 4 5 0132 3012 0132 3201 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.185449101163 0.858740256589 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(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' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], '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' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_0']), 'c_1001_2' : negation(d['c_1001_0']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_1001_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_4, c_0011_5, c_0101_1, c_0101_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 3005541783781086483904/39922359791480115*c_1001_0^19 + 291592769141181684416/13307453263826705*c_1001_0^18 + 2264203167331949967968/13307453263826705*c_1001_0^17 + 1224763602352898288/275326619251587*c_1001_0^16 - 9731987592209604893068/39922359791480115*c_1001_0^15 + 15388059638888440014452/39922359791480115*c_1001_0^14 + 43624453849626521209/137190239833265*c_1001_0^13 - 24065775653436859929814/39922359791480115*c_1001_0^12 - 3723748189772786566457/13307453263826705*c_1001_0^11 + 23958609681378490791229/39922359791480115*c_1001_0^10 - 8786521896762007117963/39922359791480115*c_1001_0^9 - 8769440270088482468578/13307453263826705*c_1001_0^8 + 4836122732768980540654/13307453263826705*c_1001_0^7 + 3405947831972626726090/7984471958296023*c_1001_0^6 - 442287740512606960407/2661490652765341*c_1001_0^5 - 5813915159616572686456/39922359791480115*c_1001_0^4 + 432577070242300095254/13307453263826705*c_1001_0^3 + 1029029840439293247163/39922359791480115*c_1001_0^2 - 95004735304020589013/39922359791480115*c_1001_0 - 73557836140788144748/39922359791480115, c_0011_0 - 1, c_0011_3 + 9894093905590112/27438047966653*c_1001_0^19 - 6818797925596832/27438047966653*c_1001_0^18 - 17990458084368528/27438047966653*c_1001_0^17 + 200271054693288/946139585057*c_1001_0^16 + 26330974855121102/27438047966653*c_1001_0^15 - 60961833235771874/27438047966653*c_1001_0^14 - 25225176073965175/54876095933306*c_1001_0^13 + 75320551147211653/27438047966653*c_1001_0^12 + 4229808628858409/54876095933306*c_1001_0^11 - 67269506494935858/27438047966653*c_1001_0^10 + 60104665328595779/27438047966653*c_1001_0^9 + 102362499879749637/54876095933306*c_1001_0^8 - 61718047229587795/27438047966653*c_1001_0^7 - 40601335874828379/54876095933306*c_1001_0^6 + 21760733442997851/27438047966653*c_1001_0^5 + 6576728609734615/54876095933306*c_1001_0^4 - 3177656827046282/27438047966653*c_1001_0^3 + 63206649640515/27438047966653*c_1001_0^2 + 297261106268289/54876095933306*c_1001_0 - 140442451945299/54876095933306, c_0011_4 + 41262838052288608/27438047966653*c_1001_0^19 - 24747636894637568/27438047966653*c_1001_0^18 - 88558227012096080/27438047966653*c_1001_0^17 + 775515906670200/946139585057*c_1001_0^16 + 134050056197922918/27438047966653*c_1001_0^15 - 245860331282282728/27438047966653*c_1001_0^14 - 213679262449377047/54876095933306*c_1001_0^13 + 738978348112280097/54876095933306*c_1001_0^12 + 67653247471911589/27438047966653*c_1001_0^11 - 360743511185048206/27438047966653*c_1001_0^10 + 200418981843647701/27438047966653*c_1001_0^9 + 311012845545498480/27438047966653*c_1001_0^8 - 568771219007522303/54876095933306*c_1001_0^7 - 181275714546568070/27438047966653*c_1001_0^6 + 137380686190450037/27438047966653*c_1001_0^5 + 64306537326400993/27438047966653*c_1001_0^4 - 59630929305445591/54876095933306*c_1001_0^3 - 12735500556338178/27438047966653*c_1001_0^2 + 5105498496704781/54876095933306*c_1001_0 + 2147389203153913/54876095933306, c_0011_5 - 79036558532872864/27438047966653*c_1001_0^19 + 31806996191446880/27438047966653*c_1001_0^18 + 179100451556461744/27438047966653*c_1001_0^17 - 451260552256120/946139585057*c_1001_0^16 - 263864350794866802/27438047966653*c_1001_0^15 + 427102909720876350/27438047966653*c_1001_0^14 + 594597317048396497/54876095933306*c_1001_0^13 - 677796129877721421/27438047966653*c_1001_0^12 - 501193937612302489/54876095933306*c_1001_0^11 + 1350774377401223207/54876095933306*c_1001_0^10 - 545284678583096075/54876095933306*c_1001_0^9 - 1359028581770729097/54876095933306*c_1001_0^8 + 451237360853128472/27438047966653*c_1001_0^7 + 440619549216360084/27438047966653*c_1001_0^6 - 435539674140722211/54876095933306*c_1001_0^5 - 158230696591611882/27438047966653*c_1001_0^4 + 45817330168386719/27438047966653*c_1001_0^3 + 59955371246590401/54876095933306*c_1001_0^2 - 3674460188412842/27438047966653*c_1001_0 - 4722653605292411/54876095933306, c_0101_1 + 106099537656098848/27438047966653*c_1001_0^19 - 52575794440135008/27438047966653*c_1001_0^18 - 243650524471592912/27438047966653*c_1001_0^17 + 1388489616087608/946139585057*c_1001_0^16 + 367933983853928378/27438047966653*c_1001_0^15 - 601651964543599174/27438047966653*c_1001_0^14 - 731736301582580793/54876095933306*c_1001_0^13 + 978730895016323533/27438047966653*c_1001_0^12 + 287105437174316680/27438047966653*c_1001_0^11 - 1962703968815629267/54876095933306*c_1001_0^10 + 831403727825431719/54876095933306*c_1001_0^9 + 919421994210609048/27438047966653*c_1001_0^8 - 1407021944214294245/54876095933306*c_1001_0^7 - 594379617582927337/27438047966653*c_1001_0^6 + 363083244492343004/27438047966653*c_1001_0^5 + 223124970256909454/27438047966653*c_1001_0^4 - 82566773787238428/27438047966653*c_1001_0^3 - 90227768292747185/54876095933306*c_1001_0^2 + 7336505088419539/27438047966653*c_1001_0 + 3888432918222437/27438047966653, c_0101_2 - 45756996514538176/27438047966653*c_1001_0^19 + 14853542989047456/27438047966653*c_1001_0^18 + 106612421093316832/27438047966653*c_1001_0^17 - 38927046978624/946139585057*c_1001_0^16 - 155868356305792356/27438047966653*c_1001_0^15 + 237505990276159898/27438047966653*c_1001_0^14 + 195398406267711651/27438047966653*c_1001_0^13 - 779901566904550751/54876095933306*c_1001_0^12 - 349006258161685735/54876095933306*c_1001_0^11 + 786354900098325111/54876095933306*c_1001_0^10 - 262787889398791211/54876095933306*c_1001_0^9 - 835629252291812353/54876095933306*c_1001_0^8 + 487334644467622217/54876095933306*c_1001_0^7 + 281194108705277193/27438047966653*c_1001_0^6 - 239777734583883655/54876095933306*c_1001_0^5 - 101937267839217631/27438047966653*c_1001_0^4 + 50947563916531491/54876095933306*c_1001_0^3 + 38427110008197973/54876095933306*c_1001_0^2 - 4108372180423419/54876095933306*c_1001_0 - 1503210058601699/27438047966653, c_1001_0^20 - 5/2*c_1001_0^18 - 3/4*c_1001_0^17 + 57/16*c_1001_0^16 - 4*c_1001_0^15 - 393/64*c_1001_0^14 + 471/64*c_1001_0^13 + 449/64*c_1001_0^12 - 123/16*c_1001_0^11 - 25/64*c_1001_0^10 + 665/64*c_1001_0^9 - 149/64*c_1001_0^8 - 17/2*c_1001_0^7 + 5/8*c_1001_0^6 + 113/32*c_1001_0^5 + 15/64*c_1001_0^4 - 47/64*c_1001_0^3 - 1/8*c_1001_0^2 + 1/16*c_1001_0 + 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB