Magma V2.19-8 Wed Aug 21 2013 00:56:40 on localhost [Seed = 2851058542] Type ? for help. Type -D to quit. Loading file "L13n2772__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2772 geometric_solution 11.43316523 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 -1 0 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 -2 1 1 -1 0 0 1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.355511337637 0.798326537105 0 5 7 6 0132 0132 0132 0132 1 1 1 1 0 0 1 -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 5 -5 1 0 0 -1 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.952630541844 1.011826360335 8 0 10 9 0132 0132 0132 0132 0 1 1 1 0 1 0 -1 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 2 0 -2 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497112113003 0.441027762700 9 11 8 0 0321 0132 0321 0132 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 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 0.655079267020 0.716107177250 12 5 0 11 0132 1230 0132 0132 0 1 1 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 0 0 0 0 1 -1 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 0.358948394729 0.985885909412 6 1 4 10 3201 0132 3012 2031 1 0 1 1 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 1 0 -1 0 5 0 0 -5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.256708293894 0.435262213539 9 12 1 5 1302 2103 0132 2310 1 1 0 1 0 0 1 -1 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 5 -5 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 0.702048880377 0.957964240378 12 10 8 1 3120 1230 2310 0132 1 1 1 0 0 0 1 -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 1 4 -5 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300677904109 0.375225961942 2 7 3 9 0132 3201 0321 0213 0 1 1 1 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 -1 1 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.487170285347 0.856770691986 3 6 2 8 0321 2031 0132 0213 0 1 1 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 0 0 0 0 -1 2 -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 0.753182013627 1.260887963147 11 5 7 2 0321 1302 3012 0132 0 1 1 1 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 1 0 -1 0 0 0 0 0 -1 5 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474383608899 0.386344022281 10 3 4 12 0321 0132 0132 0132 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 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 -0.096932211470 1.283040744220 4 6 11 7 0132 2103 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345392271133 0.574710850532 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_12' : d['c_0011_6'], 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_12'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_0101_7']), 'c_1010_12' : negation(d['c_0011_7']), 'c_1010_11' : d['c_0011_6'], 'c_1010_10' : d['c_1001_2'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0011_10'], '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_7']), 'c_1100_8' : d['c_0011_6'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : d['c_0011_0'], 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_1001_7']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : negation(d['c_1001_7']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0011_7'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : negation(d['c_1001_7']), 's_3_1' : negation(d['1']), 's_3_0' : 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_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_7']), 's_1_7' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_9']), 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : negation(d['c_0011_9']), 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_9']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_6, c_0011_7, c_0011_9, c_0101_1, c_0101_3, c_0101_5, c_0101_7, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 13475371904208605472543084631/1208067034257085710184226732*c_1001_7\ ^14 - 3595907301321763155063293353/302016758564271427546056683*c_10\ 01_7^13 + 309823180664175461310044454089/12080670342570857101842267\ 32*c_1001_7^12 - 299580513782094088304739351323/6040335171285428550\ 92113366*c_1001_7^11 + 1193133074776823191046234411677/604033517128\ 542855092113366*c_1001_7^10 - 4113439122879561192338073486375/12080\ 67034257085710184226732*c_1001_7^9 + 7473943589394169205349682613845/1208067034257085710184226732*c_1001\ _7^8 - 2667948213091782863553137939301/604033517128542855092113366*\ c_1001_7^7 - 166699496200339515327924883237/12080670342570857101842\ 26732*c_1001_7^6 + 8642689841707882394977418810975/1208067034257085\ 710184226732*c_1001_7^5 - 2923008202660246403198734774817/302016758\ 564271427546056683*c_1001_7^4 + 4202017623335784614540069608033/604\ 033517128542855092113366*c_1001_7^3 - 2673651542474022474975133489757/604033517128542855092113366*c_1001_\ 7^2 + 1871068563927589360834014904987/604033517128542855092113366*c\ _1001_7 - 531129041975342388438627687735/30201675856427142754605668\ 3, c_0011_0 - 1, c_0011_10 - 696271590550347785/3045365681184013911128*c_1001_7^14 - 10727469754685154661/3045365681184013911128*c_1001_7^13 - 5117170051192203157/3045365681184013911128*c_1001_7^12 - 233744656820377212115/3045365681184013911128*c_1001_7^11 + 177601559549279751513/1522682840592006955564*c_1001_7^10 - 1814741780968381532607/3045365681184013911128*c_1001_7^9 + 364135704093694014554/380670710148001738891*c_1001_7^8 - 6055329277828297506957/3045365681184013911128*c_1001_7^7 + 57364937636250867875/42892474382873435368*c_1001_7^6 - 94741089864246940989/380670710148001738891*c_1001_7^5 - 6738501074683795146983/3045365681184013911128*c_1001_7^4 + 2113826302988785036453/761341420296003477782*c_1001_7^3 - 2904765763172279510545/1522682840592006955564*c_1001_7^2 + 491070128937447990911/380670710148001738891*c_1001_7 - 459607628518762005577/761341420296003477782, c_0011_11 - 14786349716075600563/3045365681184013911128*c_1001_7^14 + 7917052189396571527/3045365681184013911128*c_1001_7^13 - 324261196580112173571/3045365681184013911128*c_1001_7^12 + 490201754398001953385/3045365681184013911128*c_1001_7^11 - 1059320682337624338837/1522682840592006955564*c_1001_7^10 + 3254436418105768820915/3045365681184013911128*c_1001_7^9 - 2677814471883576090269/1522682840592006955564*c_1001_7^8 + 2247280599136749892455/3045365681184013911128*c_1001_7^7 + 29612995609788711421/42892474382873435368*c_1001_7^6 - 2367448261107825619643/1522682840592006955564*c_1001_7^5 + 4916040725852425034109/3045365681184013911128*c_1001_7^4 - 782538654403544786657/761341420296003477782*c_1001_7^3 + 2206184696491525607897/1522682840592006955564*c_1001_7^2 - 542192804982491848539/380670710148001738891*c_1001_7 + 257186996520314601955/761341420296003477782, c_0011_12 - 27703753379169836529/3045365681184013911128*c_1001_7^14 + 24799594241691703049/3045365681184013911128*c_1001_7^13 - 629016188548015526497/3045365681184013911128*c_1001_7^12 + 1123668567416604698903/3045365681184013911128*c_1001_7^11 - 2312643538804737889703/1522682840592006955564*c_1001_7^10 + 7607371003493036226913/3045365681184013911128*c_1001_7^9 - 6715190165228212332641/1522682840592006955564*c_1001_7^8 + 8467783320709170711017/3045365681184013911128*c_1001_7^7 + 45526860116303180783/42892474382873435368*c_1001_7^6 - 7645781324922705266303/1522682840592006955564*c_1001_7^5 + 19280964180261184299619/3045365681184013911128*c_1001_7^4 - 1676160893936667683651/761341420296003477782*c_1001_7^3 + 2692051329071222055303/1522682840592006955564*c_1001_7^2 - 622063899327599868090/380670710148001738891*c_1001_7 + 398044957306520279641/761341420296003477782, c_0011_6 - 71328819997074737/21446237191436717684*c_1001_7^14 + 9086317454199085/21446237191436717684*c_1001_7^13 - 1612635917284706045/21446237191436717684*c_1001_7^12 + 1693588450372678911/21446237191436717684*c_1001_7^11 - 5303032109205367821/10723118595718358842*c_1001_7^10 + 12202037735805301327/21446237191436717684*c_1001_7^9 - 12990592269426287489/10723118595718358842*c_1001_7^8 + 4992292633125475061/21446237191436717684*c_1001_7^7 + 8517850211521530957/21446237191436717684*c_1001_7^6 - 15949455354426907849/10723118595718358842*c_1001_7^5 + 37298790230288715341/21446237191436717684*c_1001_7^4 - 4959429749928962027/10723118595718358842*c_1001_7^3 + 540868349046721477/5361559297859179421*c_1001_7^2 + 2283671244716239084/5361559297859179421*c_1001_7 - 2251818453236544497/5361559297859179421, c_0011_7 + 43177220224947643/5361559297859179421*c_1001_7^14 - 46828580345142587/10723118595718358842*c_1001_7^13 + 2024929275051480057/10723118595718358842*c_1001_7^12 - 1390414056715704003/5361559297859179421*c_1001_7^11 + 15298763626707051649/10723118595718358842*c_1001_7^10 - 9900589311880747599/5361559297859179421*c_1001_7^9 + 47348613867299963267/10723118595718358842*c_1001_7^8 - 10451603236884805083/5361559297859179421*c_1001_7^7 + 6949190510170291580/5361559297859179421*c_1001_7^6 + 26327511603324489377/5361559297859179421*c_1001_7^5 - 43382005372150144755/10723118595718358842*c_1001_7^4 + 51305903445461101129/10723118595718358842*c_1001_7^3 - 14772605182706288403/5361559297859179421*c_1001_7^2 + 9883233832690339549/5361559297859179421*c_1001_7 - 2601413973465970973/5361559297859179421, c_0011_9 + 61720895083628642481/3045365681184013911128*c_1001_7^14 - 57892261992928475569/3045365681184013911128*c_1001_7^13 + 1411513328307035071005/3045365681184013911128*c_1001_7^12 - 2574609489683864928259/3045365681184013911128*c_1001_7^11 + 5299754906237103571361/1522682840592006955564*c_1001_7^10 - 17754962162781042462869/3045365681184013911128*c_1001_7^9 + 16151382061285432404589/1522682840592006955564*c_1001_7^8 - 22124195809320247286325/3045365681184013911128*c_1001_7^7 - 14154232143327297255/42892474382873435368*c_1001_7^6 + 17318590183315419096997/1522682840592006955564*c_1001_7^5 - 46504431576638935918159/3045365681184013911128*c_1001_7^4 + 7998204059580851817299/761341420296003477782*c_1001_7^3 - 9881394310828959679581/1522682840592006955564*c_1001_7^2 + 1490347180336521801940/380670710148001738891*c_1001_7 - 1178309151230949953173/761341420296003477782, c_0101_1 - 13433705441101194725/3045365681184013911128*c_1001_7^14 + 2070356628515547553/3045365681184013911128*c_1001_7^13 - 307488725323245596829/3045365681184013911128*c_1001_7^12 + 315713583514875824599/3045365681184013911128*c_1001_7^11 - 1052632571705775798823/1522682840592006955564*c_1001_7^10 + 2172051327578740044089/3045365681184013911128*c_1001_7^9 - 2795544491170238200087/1522682840592006955564*c_1001_7^8 + 269389860274152379881/3045365681184013911128*c_1001_7^7 - 358632774478439181/42892474382873435368*c_1001_7^6 - 4111801670736101837281/1522682840592006955564*c_1001_7^5 + 3187885166720630547703/3045365681184013911128*c_1001_7^4 - 593508560671834679671/380670710148001738891*c_1001_7^3 + 387524235402399527793/1522682840592006955564*c_1001_7^2 - 298626754622982396492/380670710148001738891*c_1001_7 + 228925632535704733889/761341420296003477782, c_0101_3 - 22018458504680183895/3045365681184013911128*c_1001_7^14 + 23234616568454996397/3045365681184013911128*c_1001_7^13 - 511490773014567116983/3045365681184013911128*c_1001_7^12 + 969149365870193812283/3045365681184013911128*c_1001_7^11 - 2003316159059704893491/1522682840592006955564*c_1001_7^10 + 6714051128907959319255/3045365681184013911128*c_1001_7^9 - 1593132826942064377458/380670710148001738891*c_1001_7^8 + 8937778784850245008633/3045365681184013911128*c_1001_7^7 - 7978287967664408047/42892474382873435368*c_1001_7^6 - 1849580736328658902806/380670710148001738891*c_1001_7^5 + 19253211458859829438179/3045365681184013911128*c_1001_7^4 - 1433367499484420126662/380670710148001738891*c_1001_7^3 + 3614433693088219253321/1522682840592006955564*c_1001_7^2 - 588162031061978022220/380670710148001738891*c_1001_7 + 819510747182644358933/761341420296003477782, c_0101_5 - 1, c_0101_7 + 277001714155469415/21446237191436717684*c_1001_7^14 - 46941658547626971/10723118595718358842*c_1001_7^13 + 6330469860077765551/21446237191436717684*c_1001_7^12 - 1937103153913745523/5361559297859179421*c_1001_7^11 + 11013013804730390512/5361559297859179421*c_1001_7^10 - 54138412248690531327/21446237191436717684*c_1001_7^9 + 118845395114703130839/21446237191436717684*c_1001_7^8 - 8658098850181601977/5361559297859179421*c_1001_7^7 - 11964582161634383837/21446237191436717684*c_1001_7^6 + 147332637586839319947/21446237191436717684*c_1001_7^5 - 57732761341918334847/10723118595718358842*c_1001_7^4 + 33887264150591228771/10723118595718358842*c_1001_7^3 - 20440241914149974145/10723118595718358842*c_1001_7^2 + 13121458874005694717/5361559297859179421*c_1001_7 - 4086663998748126456/5361559297859179421, c_1001_2 + 52376988127974875/5361559297859179421*c_1001_7^14 - 48212826969605721/21446237191436717684*c_1001_7^13 + 2320094876660134497/10723118595718358842*c_1001_7^12 - 5395053724819006091/21446237191436717684*c_1001_7^11 + 14795215437061299951/10723118595718358842*c_1001_7^10 - 8879978301918227839/5361559297859179421*c_1001_7^9 + 67785680939994127243/21446237191436717684*c_1001_7^8 - 1850578153547187997/21446237191436717684*c_1001_7^7 - 22668022772069901365/10723118595718358842*c_1001_7^6 + 100912549692775117635/21446237191436717684*c_1001_7^5 - 62371693206711947393/21446237191436717684*c_1001_7^4 + 8521687880152832389/10723118595718358842*c_1001_7^3 - 2244458780246418493/5361559297859179421*c_1001_7^2 + 5864865516315540374/5361559297859179421*c_1001_7 + 2004898236894292015/5361559297859179421, c_1001_7^15 - c_1001_7^14 + 23*c_1001_7^13 - 43*c_1001_7^12 + 176*c_1001_7^11 - 297*c_1001_7^10 + 550*c_1001_7^9 - 387*c_1001_7^8 + 21*c_1001_7^7 + 578*c_1001_7^6 - 761*c_1001_7^5 + 538*c_1001_7^4 - 338*c_1001_7^3 + 244*c_1001_7^2 - 132*c_1001_7 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.330 Total time: 0.540 seconds, Total memory usage: 32.09MB