Magma V2.19-8 Wed Aug 21 2013 01:03:45 on localhost [Seed = 1899456852] Type ? for help. Type -D to quit. Loading file "L14n22067__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n22067 geometric_solution 12.08089115 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 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 0 0 0 1 0 4 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196952639909 0.418273900690 0 5 7 6 0132 0132 0132 0132 1 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 0 1 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.094837030960 1.342124699109 8 0 4 9 0132 0132 0132 0132 0 1 1 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 0 0 0 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.289987916652 0.960071138069 6 10 11 0 0213 0132 0132 0132 0 1 1 1 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 -1 1 0 0 0 4 -4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688540546871 0.685074884920 6 12 0 2 1230 0132 0132 0132 0 1 1 1 0 1 -1 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 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.210136304390 1.298057058879 8 1 11 12 1023 0132 3012 1023 1 0 1 1 0 0 -1 1 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 4 -4 0 0 -1 1 -1 5 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.714293800112 1.562943055427 3 4 1 7 0213 3012 0132 2310 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 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 0.492346452691 0.986922677642 6 9 10 1 3201 1023 1302 0132 1 1 1 1 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 5 0 -5 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351636223464 0.437046412207 2 5 10 12 0132 1023 0132 0132 0 1 1 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 0 0 0 0 0 0 1 -1 5 0 -5 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 0.309462868596 0.879962323764 7 10 2 11 1023 0213 0132 0132 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 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.697291687086 0.791515249022 7 3 9 8 2031 0132 0213 0132 0 1 1 1 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 0 -1 0 0 -5 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750550620820 0.424706663713 12 5 9 3 0132 1230 0132 0132 0 1 1 1 0 -1 0 1 -1 0 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 1 0 -1 4 0 0 -4 1 0 0 -1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.076531676396 1.184754133382 11 4 8 5 0132 0132 0132 1023 0 1 1 1 0 -1 0 1 1 0 0 -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 1 -1 -4 0 0 4 -4 0 0 4 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.046169379067 0.825298252438 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0110_5'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0110_5'], 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : d['c_0101_5'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_7'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(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' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_1001_11']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_7'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : negation(d['1']), 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1001_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_0110_5'], 'c_1100_8' : d['c_1001_11'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_11'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_7'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_6'], 'c_0110_10' : d['c_0101_8'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0011_6'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_10']), 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : negation(d['c_0011_10']), 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : negation(d['c_0011_10']), 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_10']})} 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_6, c_0011_7, c_0101_1, c_0101_11, c_0101_5, c_0101_8, c_0110_5, c_1001_0, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 755445990961520750273052711425961/68549208001271347495978756*c_1100\ _0^14 + 2442621139411310048537154210414233/171373020003178368739946\ 890*c_1100_0^13 + 2094995895451967731573012900498411721/67178223841\ 245920546059180880*c_1100_0^12 - 1186302079737100540271854895461694\ 79/4798444560088994324718512920*c_1100_0^11 - 289238327574058048324171643844478957/9596889120177988649437025840*c\ _1100_0^10 + 393261894837502249033515964698543303/33589111920622960\ 273029590440*c_1100_0^9 + 34213323403164798802218010030398177/41986\ 38990077870034128698805*c_1100_0^8 - 86524333804218027135189187366460721/4198638990077870034128698805*c_\ 1100_0^7 - 119217604655451680986464512602399657/8397277980155740068\ 257397610*c_1100_0^6 + 27837811770329974764458477207148137/61071112\ 58295083686005380080*c_1100_0^5 - 429764072349256184618833289134490\ 029/67178223841245920546059180880*c_1100_0^4 - 18353357263258166654304364812695141/2167039478749868404711586480*c_\ 1100_0^3 - 17768475682269216783207457399732423/16794555960311480136\ 514795220*c_1100_0^2 - 585417279562796779057482430448752/4198638990\ 077870034128698805*c_1100_0 - 6438535353710506699094509310961658/41\ 98638990077870034128698805, c_0011_0 - 1, c_0011_10 - 3549873029675412565011/222963698297426756135*c_1100_0^14 + 5591485200357645358347/222963698297426756135*c_1100_0^13 + 2012389189372575625474207/43700884866295644202460*c_1100_0^12 - 334757619219075155892977/6242983552327949171780*c_1100_0^11 - 371800328347694423432993/6242983552327949171780*c_1100_0^10 + 1482802634257365915766317/43700884866295644202460*c_1100_0^9 + 944035654220248904835967/21850442433147822101230*c_1100_0^8 - 275170642613431518325297/10925221216573911050615*c_1100_0^7 - 332953170968526192599488/10925221216573911050615*c_1100_0^6 + 544739602669231428260069/43700884866295644202460*c_1100_0^5 + 77568131115442827753833/21850442433147822101230*c_1100_0^4 - 15759213739777704030837/2185044243314782210123*c_1100_0^3 - 61184514855250917027073/43700884866295644202460*c_1100_0^2 + 6773191114334189098296/2185044243314782210123*c_1100_0 + 3125220593718547708448/10925221216573911050615, c_0011_11 + 126152659482762165873/222963698297426756135*c_1100_0^14 - 2978372371832297457961/222963698297426756135*c_1100_0^13 + 461609921302004096244459/43700884866295644202460*c_1100_0^12 + 278673537823273770681611/6242983552327949171780*c_1100_0^11 - 100584066767737453324381/6242983552327949171780*c_1100_0^10 - 2273259688826214800850391/43700884866295644202460*c_1100_0^9 - 8369211279522230982681/21850442433147822101230*c_1100_0^8 + 243105051979285173528301/10925221216573911050615*c_1100_0^7 - 141931902675667572111681/10925221216573911050615*c_1100_0^6 - 1094986828421591687966107/43700884866295644202460*c_1100_0^5 - 15787045627541467865729/21850442433147822101230*c_1100_0^4 + 716982903926703979897/2185044243314782210123*c_1100_0^3 - 347023034093954717946421/43700884866295644202460*c_1100_0^2 - 5800749705096554676564/2185044243314782210123*c_1100_0 + 3612231158462943258111/10925221216573911050615, c_0011_6 + 1056513505770246190507/222963698297426756135*c_1100_0^14 - 159506187696040653809/222963698297426756135*c_1100_0^13 - 783283124425602679886559/43700884866295644202460*c_1100_0^12 - 60357606618308461809021/6242983552327949171780*c_1100_0^11 + 115435379540676281769391/6242983552327949171780*c_1100_0^10 + 1020305455293416466910181/43700884866295644202460*c_1100_0^9 - 15465461673357629318242/10925221216573911050615*c_1100_0^8 - 85813822296319353618481/10925221216573911050615*c_1100_0^7 + 106393010134629370142056/10925221216573911050615*c_1100_0^6 + 533195008388351424821987/43700884866295644202460*c_1100_0^5 + 54768787701274624583792/10925221216573911050615*c_1100_0^4 + 3746037062830540662778/2185044243314782210123*c_1100_0^3 + 187377956067986874944701/43700884866295644202460*c_1100_0^2 + 12728091969919850361587/4370088486629564420246*c_1100_0 + 2194405024573047807364/10925221216573911050615, c_0011_7 - 735259045559084211838/222963698297426756135*c_1100_0^14 + 1019657272629891049516/222963698297426756135*c_1100_0^13 + 56350626287981689090983/21850442433147822101230*c_1100_0^12 - 5265890893993078916449/1560745888081987292945*c_1100_0^11 + 21921982043264397312249/1560745888081987292945*c_1100_0^10 - 986716821049649057266/10925221216573911050615*c_1100_0^9 - 496915529221334945146459/21850442433147822101230*c_1100_0^8 - 116765836527517322331276/10925221216573911050615*c_1100_0^7 + 27432658641515236909741/10925221216573911050615*c_1100_0^6 - 111836402206639839787629/21850442433147822101230*c_1100_0^5 - 295183660559415414487051/21850442433147822101230*c_1100_0^4 - 10431420425131476886884/2185044243314782210123*c_1100_0^3 - 46633033116598482606967/21850442433147822101230*c_1100_0^2 - 20147730446238162949035/4370088486629564420246*c_1100_0 - 15652597337979160754276/10925221216573911050615, c_0101_1 - 3119966709837172700067/222963698297426756135*c_1100_0^14 + 3653550681308953993849/222963698297426756135*c_1100_0^13 + 1937548271312199610725399/43700884866295644202460*c_1100_0^12 - 169696499382901429594059/6242983552327949171780*c_1100_0^11 - 322557591084280592915391/6242983552327949171780*c_1100_0^10 + 283858819869812538119719/43700884866295644202460*c_1100_0^9 + 245726976633125314871402/10925221216573911050615*c_1100_0^8 - 175061202879390261929989/10925221216573911050615*c_1100_0^7 - 252440618754708005088791/10925221216573911050615*c_1100_0^6 + 169400187196512990876813/43700884866295644202460*c_1100_0^5 - 11986606864445104665422/10925221216573911050615*c_1100_0^4 - 17769811469060929418158/2185044243314782210123*c_1100_0^3 - 68215176444154535154781/43700884866295644202460*c_1100_0^2 + 8421321481712513207257/4370088486629564420246*c_1100_0 - 625839702358594720274/10925221216573911050615, c_0101_11 + 2641542329056260866689/222963698297426756135*c_1100_0^14 - 3422453226366277194683/222963698297426756135*c_1100_0^13 - 1538235112086390560229053/43700884866295644202460*c_1100_0^12 + 139729281207027959097153/6242983552327949171780*c_1100_0^11 + 302289722518317974708117/6242983552327949171780*c_1100_0^10 - 99539270574700359514793/43700884866295644202460*c_1100_0^9 - 360271475803351112034439/10925221216573911050615*c_1100_0^8 + 103056331547670474461588/10925221216573911050615*c_1100_0^7 + 288888995344474120846727/10925221216573911050615*c_1100_0^6 - 54064166918662998893371/43700884866295644202460*c_1100_0^5 - 65029567039925090937216/10925221216573911050615*c_1100_0^4 + 7186600184593664270480/2185044243314782210123*c_1100_0^3 + 168806749308038971326947/43700884866295644202460*c_1100_0^2 - 10023771252636218781167/4370088486629564420246*c_1100_0 - 10407400254902041911157/10925221216573911050615, c_0101_5 - 234421974220084629931/44592739659485351227*c_1100_0^14 + 133492538387535366261/44592739659485351227*c_1100_0^13 + 136781931031270443408951/8740176973259128840492*c_1100_0^12 + 3906046002917108728289/1248596710465589834356*c_1100_0^11 - 10200172275777764061665/1248596710465589834356*c_1100_0^10 - 105266770732786130188565/8740176973259128840492*c_1100_0^9 - 42939371728632335569759/4370088486629564420246*c_1100_0^8 - 12996428280409480824301/2185044243314782210123*c_1100_0^7 - 12282185607527122531233/2185044243314782210123*c_1100_0^6 - 63464138318844251110963/8740176973259128840492*c_1100_0^5 - 21694348528239137652143/2185044243314782210123*c_1100_0^4 - 28705048353953261462995/4370088486629564420246*c_1100_0^3 - 26853391305540733480711/8740176973259128840492*c_1100_0^2 - 5135735756301492426027/2185044243314782210123*c_1100_0 - 2976229750515793569844/2185044243314782210123, c_0101_8 - 3094449053029079865519/222963698297426756135*c_1100_0^14 + 3205722849130569406343/222963698297426756135*c_1100_0^13 + 2138617768976666201316763/43700884866295644202460*c_1100_0^12 - 147457586583237590900853/6242983552327949171780*c_1100_0^11 - 385399550308776692039577/6242983552327949171780*c_1100_0^10 - 46229969697775573845427/43700884866295644202460*c_1100_0^9 + 609944499602616038662943/21850442433147822101230*c_1100_0^8 - 61361546462442631986468/10925221216573911050615*c_1100_0^7 - 251889158619126786443717/10925221216573911050615*c_1100_0^6 + 62882331293121190847121/43700884866295644202460*c_1100_0^5 + 48802547066630270114417/21850442433147822101230*c_1100_0^4 - 9092167955175066502642/2185044243314782210123*c_1100_0^3 - 5885009957460124374677/43700884866295644202460*c_1100_0^2 + 3258829437239716436253/2185044243314782210123*c_1100_0 + 3382408472107582410342/10925221216573911050615, c_0110_5 - 153687731055208046901/44592739659485351227*c_1100_0^14 + 59249025566971565981/44592739659485351227*c_1100_0^13 + 166970214850257901518505/8740176973259128840492*c_1100_0^12 - 4896487922119446256839/1248596710465589834356*c_1100_0^11 - 41070937743577967438831/1248596710465589834356*c_1100_0^10 - 6945385439650798099461/8740176973259128840492*c_1100_0^9 + 104052587501741367039867/4370088486629564420246*c_1100_0^8 + 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