Magma V2.19-8 Tue Aug 20 2013 23:39:36 on localhost [Seed = 3717970335] Type ? for help. Type -D to quit. Loading file "K14n11808__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n11808 geometric_solution 10.72680790 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 1 -1 0 0 0 0 -7 7 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668815525958 0.863386367279 0 5 7 6 0132 0132 0132 0132 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 7 -6 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468067700397 0.660971885989 7 0 8 4 1023 0132 0132 1023 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 1 -1 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668815525958 0.863386367279 8 5 9 0 0132 1230 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 1 0 -1 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 0.521772701634 0.883523480244 5 10 0 2 0132 0132 0132 1023 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 -1 1 0 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444367507737 0.534423879343 4 1 3 10 0132 0132 3012 0132 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 -1 1 0 0 -1 1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.908461402020 1.006780096018 9 7 1 9 1023 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.158434865403 1.142575624433 10 2 6 1 0132 1023 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468067700397 0.660971885989 3 10 9 2 0132 0321 1023 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 1 6 0 -7 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521772701634 0.883523480244 6 6 8 3 3201 1023 1023 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 0.071987390543 1.143444383998 7 4 5 8 0132 0132 0132 0321 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 1 -1 0 0 0 -1 1 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.908461402020 1.006780096018 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0110_2'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0101_9']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : d['c_0101_9'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_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_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_8' : negation(d['c_1100_0']), 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 'c_1100_10' : d['c_0101_9'], 'c_1010_7' : d['c_0110_2'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0110_2'], 'c_1010_4' : d['c_0110_2'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_9']), 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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'], '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_6'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_0']), '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' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_3'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_0'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_9'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_9, c_0110_2, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 96/7*c_1100_0 + 64/7, c_0011_0 - 1, c_0011_3 - c_1100_0 + 1, c_0011_6 + c_1100_0 - 1, c_0101_0 - 2*c_1001_2*c_1100_0 + 3*c_1001_2 - c_1100_0 + 2, c_0101_1 + 2*c_1001_2*c_1100_0 - 3*c_1001_2 + 2*c_1100_0 - 3, c_0101_2 - 2*c_1001_2*c_1100_0 + 3*c_1001_2 - 2*c_1100_0 + 3, c_0101_5 - c_1001_2 + c_1100_0 - 2, c_0101_9 + 1, c_0110_2 + 2*c_1001_2*c_1100_0 - 3*c_1001_2 + c_1100_0 - 2, c_1001_2^2 - c_1001_2*c_1100_0 + 2*c_1001_2 - 2*c_1100_0 + 3/2, c_1100_0^2 - 2*c_1100_0 + 1/2 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_9, c_0110_2, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 10292125573632530546599593994358350457163147/1183557156680603036261\ 977602631268190712*c_1100_0^14 - 6158192464787539618917837855362648\ 180546751/147944644585075379532747200328908523839*c_1100_0^13 - 198766410569600664202583063976989212594052093/118355715668060303626\ 1977602631268190712*c_1100_0^12 + 797287354905449223123000809001597\ 84727960931/84539796905757359732998400187947727908*c_1100_0^11 - 3514396646500299203301498037727190090576797445/11835571566806030362\ 61977602631268190712*c_1100_0^10 + 3473581508349869215486790951042269497334800267/11835571566806030362\ 61977602631268190712*c_1100_0^9 + 353969254485037642857957797193635\ 505143154491/69621009216506060956586917801839305336*c_1100_0^8 + 2202420272284669354816877678801713928085900729/11835571566806030362\ 61977602631268190712*c_1100_0^7 - 586638909182562663680867748143338\ 4050930247967/295889289170150759065494400657817047678*c_1100_0^6 + 35582600178583750057168139825771967813953212557/1183557156680603036\ 261977602631268190712*c_1100_0^5 - 32353984856615490151743637706685566401789011729/5917785783403015181\ 30988801315634095356*c_1100_0^4 - 605806233289987868845614381918896\ 41200285462165/591778578340301518130988801315634095356*c_1100_0^3 - 8438682713274407295402775344149935302583829709/11835571566806030362\ 61977602631268190712*c_1100_0^2 + 762077843872846404237497858970540\ 4627138885723/1183557156680603036261977602631268190712*c_1100_0 + 983672284017144103379754320904110166883810905/118355715668060303626\ 1977602631268190712, c_0011_0 - 1, c_0011_3 + 1185248602504681213350307004982752889/6929491549652242601065\ 44263835637114*c_1100_0^14 + 11340724368461856807597932669923324275\ /1385898309930448520213088527671274228*c_1100_0^13 + 45751023477152101492609304765448291785/1385898309930448520213088527\ 671274228*c_1100_0^12 - 64300676335915450011861297108553076917/3464\ 74577482612130053272131917818557*c_1100_0^11 + 202530031293379925522883937956093876256/346474577482612130053272131\ 917818557*c_1100_0^10 - 802205799904397986065266600237592289315/138\ 5898309930448520213088527671274228*c_1100_0^9 - 40696721819375054949306711737977671327/4076171499795436824156142728\ 4449242*c_1100_0^8 - 503866320627268950060374499615788592693/138589\ 8309930448520213088527671274228*c_1100_0^7 + 1351441592377535432430652978148262344762/34647457748261213005327213\ 1917818557*c_1100_0^6 - 4104825041481070404313394965775256900881/69\ 2949154965224260106544263835637114*c_1100_0^5 + 14926218654558269252704206053049070569403/1385898309930448520213088\ 527671274228*c_1100_0^4 + 27865001976988967047749732611199271468945\ /1385898309930448520213088527671274228*c_1100_0^3 + 1874052728625301689104672106898875281577/13858983099304485202130885\ 27671274228*c_1100_0^2 - 878382549575466054410234378853305955245/69\ 2949154965224260106544263835637114*c_1100_0 - 222463084199865482733542111322673425165/138589830993044852021308852\ 7671274228, c_0011_6 + 750999534320863014068306183142067224/34647457748261213005327\ 2131917818557*c_1100_0^14 + 14379076095817824946510932127208040069/\ 1385898309930448520213088527671274228*c_1100_0^13 + 58013828512969774566480440884254773801/1385898309930448520213088527\ 671274228*c_1100_0^12 - 81448176562820679003649431325889189458/3464\ 74577482612130053272131917818557*c_1100_0^11 + 512894759869194237215218806293514961365/692949154965224260106544263\ 835637114*c_1100_0^10 - 1013951520158323608148648161902384933275/13\ 85898309930448520213088527671274228*c_1100_0^9 - 25826352023662275081602259795145212396/2038085749897718412078071364\ 2224621*c_1100_0^8 - 642715968689914275870878616465407256525/138589\ 8309930448520213088527671274228*c_1100_0^7 + 1712181176613550460992392698855658166447/34647457748261213005327213\ 1917818557*c_1100_0^6 - 2596539928230037102698181169322643870841/34\ 6474577482612130053272131917818557*c_1100_0^5 + 18887865664096156214051895976888753296137/1385898309930448520213088\ 527671274228*c_1100_0^4 + 35361844309822179404625485680238526786543\ /1385898309930448520213088527671274228*c_1100_0^3 + 2461216416103652596782055242633124479701/13858983099304485202130885\ 27671274228*c_1100_0^2 - 554747384197465741180795234499800088447/34\ 6474577482612130053272131917818557*c_1100_0 - 286528301293762521820665313598630069125/138589830993044852021308852\ 7671274228, c_0101_0 - 6831045319617938279587641214794396669/2771796619860897040426\ 177055342548456*c_1100_0^14 - 1634369848326763986750418268721234353\ 7/1385898309930448520213088527671274228*c_1100_0^13 - 131874003011616729971157395631470115969/277179661986089704042617705\ 5342548456*c_1100_0^12 + 370521700821064409329607718973602801027/13\ 85898309930448520213088527671274228*c_1100_0^11 - 2333777816860239069237446969999558683479/27717966198608970404261770\ 55342548456*c_1100_0^10 + 2309408694619520955270748955972881953539/\ 2771796619860897040426177055342548456*c_1100_0^9 + 234677111719347964436362337715430515753/163046859991817472966245709\ 137796968*c_1100_0^8 + 1456267082458513178424193032950246167165/277\ 1796619860897040426177055342548456*c_1100_0^7 - 3894007177235713111050823331495518144413/69294915496522426010654426\ 3835637114*c_1100_0^6 + 23641901832973949099156729134951256236411/2\ 771796619860897040426177055342548456*c_1100_0^5 - 5373686238468411649499843727982032499435/34647457748261213005327213\ 1917818557*c_1100_0^4 - 10042542872342849801563567081592128938908/3\ 46474577482612130053272131917818557*c_1100_0^3 - 5487310654672726870749739830801998113125/27717966198608970404261770\ 55342548456*c_1100_0^2 + 5049594893369761821157780256453420584969/2\ 771796619860897040426177055342548456*c_1100_0 + 646447794248498779942690559804871807477/277179661986089704042617705\ 5342548456, c_0101_1 - 2694839694341302687201703289904513413/1385898309930448520213\ 088527671274228*c_1100_0^14 - 6449700418375691752893868468284295053\ /692949154965224260106544263835637114*c_1100_0^13 - 52043608973887074670746296490907712491/1385898309930448520213088527\ 671274228*c_1100_0^12 + 146131352641787438133012963948073537999/692\ 949154965224260106544263835637114*c_1100_0^11 - 920193871082753511936629717859046125387/138589830993044852021308852\ 7671274228*c_1100_0^10 + 909500034633668934087526190701280151615/13\ 85898309930448520213088527671274228*c_1100_0^9 + 92684750887621518227656459692574795015/8152342999590873648312285456\ 8898484*c_1100_0^8 + 576550425877097910478305267797642870259/138589\ 8309930448520213088527671274228*c_1100_0^7 - 1536039571622134692365604517630818431285/34647457748261213005327213\ 1917818557*c_1100_0^6 + 9316759974584953836551772994506344228535/13\ 85898309930448520213088527671274228*c_1100_0^5 - 4235632176788876405137669018135832680692/34647457748261213005327213\ 1917818557*c_1100_0^4 - 15862281019436415133658143259823265506749/6\ 92949154965224260106544263835637114*c_1100_0^3 - 2207443108898671166279822870244138734633/13858983099304485202130885\ 27671274228*c_1100_0^2 + 1996549794511079758819782788350197376315/1\ 385898309930448520213088527671274228*c_1100_0 + 257579640903023432509693178996188613719/138589830993044852021308852\ 7671274228, c_0101_2 + 6831045319617938279587641214794396669/2771796619860897040426\ 177055342548456*c_1100_0^14 + 1634369848326763986750418268721234353\ 7/1385898309930448520213088527671274228*c_1100_0^13 + 131874003011616729971157395631470115969/277179661986089704042617705\ 5342548456*c_1100_0^12 - 370521700821064409329607718973602801027/13\ 85898309930448520213088527671274228*c_1100_0^11 + 2333777816860239069237446969999558683479/27717966198608970404261770\ 55342548456*c_1100_0^10 - 2309408694619520955270748955972881953539/\ 2771796619860897040426177055342548456*c_1100_0^9 - 234677111719347964436362337715430515753/163046859991817472966245709\ 137796968*c_1100_0^8 - 1456267082458513178424193032950246167165/277\ 1796619860897040426177055342548456*c_1100_0^7 + 3894007177235713111050823331495518144413/69294915496522426010654426\ 3835637114*c_1100_0^6 - 23641901832973949099156729134951256236411/2\ 771796619860897040426177055342548456*c_1100_0^5 + 5373686238468411649499843727982032499435/34647457748261213005327213\ 1917818557*c_1100_0^4 + 10042542872342849801563567081592128938908/3\ 46474577482612130053272131917818557*c_1100_0^3 + 5487310654672726870749739830801998113125/27717966198608970404261770\ 55342548456*c_1100_0^2 - 5049594893369761821157780256453420584969/2\ 771796619860897040426177055342548456*c_1100_0 - 646447794248498779942690559804871807477/277179661986089704042617705\ 5342548456, c_0101_5 + 919774415178141768912105731465239545/13858983099304485202130\ 88527671274228*c_1100_0^14 + 1099493697469837512104267211711497958/\ 346474577482612130053272131917818557*c_1100_0^13 + 17741066810722772344337731945751171757/1385898309930448520213088527\ 671274228*c_1100_0^12 - 49919998461067367414464211540797149917/6929\ 49154965224260106544263835637114*c_1100_0^11 + 314594465597117764912195381007497752275/138589830993044852021308852\ 7671274228*c_1100_0^10 - 312101628578665701410165335657832293509/13\ 85898309930448520213088527671274228*c_1100_0^9 - 31527279716519153102509095680338023071/8152342999590873648312285456\ 8898484*c_1100_0^8 - 194258603133192009739307110252613026409/138589\ 8309930448520213088527671274228*c_1100_0^7 + 524427007710484672832983168929715515579/346474577482612130053272131\ 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