Magma V2.19-8 Wed Aug 21 2013 01:02:15 on localhost [Seed = 274074581] Type ? for help. Type -D to quit. Loading file "L14n14229__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14229 geometric_solution 12.49956020 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 0 0 1 -1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588808824070 0.838099547475 0 5 7 6 0132 0132 0132 0132 0 1 0 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.461510588277 0.778878775649 8 0 5 9 0132 0132 0132 0132 0 1 0 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 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 0.776304118251 0.653614429837 8 10 11 0 3201 0132 0132 0132 0 1 0 1 0 -1 0 1 -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 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 0.415072790616 0.487243309453 12 7 0 8 0132 0132 0132 0132 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 0 0 0 0 1 -1 0 0 0 -1 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.008224780569 0.788698869070 9 1 12 2 3120 0132 0213 0132 0 1 1 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 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 0.485130471511 0.523287077101 8 10 1 9 1230 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420403921722 1.324660944588 12 4 10 1 3120 0132 1230 0132 0 1 1 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 -1 1 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 0.731457868380 0.581108540856 2 6 4 3 0132 3012 0132 2310 0 1 1 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 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 0.743281500078 0.885106696286 11 6 2 5 0213 2310 0132 3120 0 1 1 0 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 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 0.687850411133 0.744701229255 11 3 6 7 2310 0132 2310 3012 0 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 0 0 0 0 0 0 0 0 1 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 0 0 0.447558619978 0.937330020177 9 12 10 3 0213 0213 3201 0132 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 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.923364980216 1.245820529721 4 5 11 7 0132 0213 0213 3120 0 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 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 0.385129995769 0.621248828883 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_0'], 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : negation(d['c_0101_7']), 's_0_10' : 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' : d['1'], 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : d['c_0101_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' : 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' : 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' : negation(d['c_0011_12']), 'c_1100_8' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_12']), 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_9']), 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : negation(d['c_0011_12']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0011_0']), 'c_1010_8' : negation(d['c_0101_0']), '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'], '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' : 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_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_12'], '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' : negation(d['c_0101_2']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_12'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(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_0011_11'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], '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_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : 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_12, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 643629782874541824053901323841206778935/489782915323086497692931102\ 79907872*c_1001_1^18 - 5869865713336835925994015786657721504537/489\ 78291532308649769293110279907872*c_1001_1^17 - 12008962971258311738584993470282496763593/1632609717743621658976437\ 0093302624*c_1001_1^16 - 52079186317319119643555610731245402176233/\ 16326097177436216589764370093302624*c_1001_1^15 - 90044054829895374088108459952138834463753/8163048588718108294882185\ 046651312*c_1001_1^14 - 238723102566593406922187997595929777165989/\ 8163048588718108294882185046651312*c_1001_1^13 - 485076536597120906738815713599246597157577/816304858871810829488218\ 5046651312*c_1001_1^12 - 150791863444686315119524644398967024592971\ 3/16326097177436216589764370093302624*c_1001_1^11 - 93208354712092874728739037779773382167277/7202689931221860260190163\ 27645704*c_1001_1^10 - 110765296268726474445574192127263403640095/7\ 20268993122186026019016327645704*c_1001_1^9 - 650875304469292651982961978397363599496159/408152429435905414744109\ 2523325656*c_1001_1^8 - 2454295143489250949177785363880889752083395\ /16326097177436216589764370093302624*c_1001_1^7 - 2873026344075389081869494414645958019255767/24489145766154324884646\ 555139953936*c_1001_1^6 - 61605261376587840834622594117978999214176\ 3/8163048588718108294882185046651312*c_1001_1^5 - 991285737999548997997816810515876230807107/244891457661543248846465\ 55139953936*c_1001_1^4 - 681945343838764095617154878415190606214513\ /48978291532308649769293110279907872*c_1001_1^3 - 2829038397242762344128173546092278030515/96035865749624803469202177\ 0194272*c_1001_1^2 - 42946205757154207233860163439461318244195/4897\ 8291532308649769293110279907872*c_1001_1 - 4144360447774998420284797443348037579871/16326097177436216589764370\ 093302624, c_0011_0 - 1, c_0011_10 - 2880555375832946488526511/59820864645309293830014584*c_1001\ _1^18 - 3340954472266419580480823/7477608080663661728751823*c_1001_\ 1^17 - 41265172127304660777112203/14955216161327323457503646*c_1001\ _1^16 - 722468480105922392467972381/59820864645309293830014584*c_10\ 01_1^15 - 1258179271228971517787158183/29910432322654646915007292*c\ _1001_1^14 - 1687585805581320010413221529/1495521616132732345750364\ 6*c_1001_1^13 - 6959229690868706714663721411/2991043232265464691500\ 7292*c_1001_1^12 - 22089727332839302558959110701/598208646453092938\ 30014584*c_1001_1^11 - 31360058683864113987112306485/59820864645309\ 293830014584*c_1001_1^10 - 4778637490194777426224515412/74776080806\ 63661728751823*c_1001_1^9 - 40139152335443191210503185455/598208646\ 45309293830014584*c_1001_1^8 - 38688141993932408288256961287/598208\ 64645309293830014584*c_1001_1^7 - 15668978126130843634217416785/299\ 10432322654646915007292*c_1001_1^6 - 5209088568729580512350464857/14955216161327323457503646*c_1001_1^5 - 5995827411675164419083664529/29910432322654646915007292*c_1001_1^4 - 4724701770902897025739948403/59820864645309293830014584*c_1001_1^3 - 139077118450017177062429418/7477608080663661728751823*c_1001_1^2 - 91104039804834079506367749/14955216161327323457503646*c_1001_1 - 95031055880334857320018841/59820864645309293830014584, c_0011_11 - 6190789407744706682684481/59820864645309293830014584*c_1001\ _1^18 - 29397441611210998709709857/29910432322654646915007292*c_100\ 1_1^17 - 91580279930728160091696051/14955216161327323457503646*c_10\ 01_1^16 - 1620448970046700331106350373/59820864645309293830014584*c\ _1001_1^15 - 2842730655150590242618586465/2991043232265464691500729\ 2*c_1001_1^14 - 7705158799093306837029320161/2991043232265464691500\ 7292*c_1001_1^13 - 16047379361802041665535862309/299104323226546469\ 15007292*c_1001_1^12 - 51297026455349315814756504345/59820864645309\ 293830014584*c_1001_1^11 - 72087989477300001171337201429/5982086464\ 5309293830014584*c_1001_1^10 - 21976205805262977022304754645/149552\ 16161327323457503646*c_1001_1^9 - 92206990548891525985622818419/598\ 20864645309293830014584*c_1001_1^8 - 87612902027934157242292409289/59820864645309293830014584*c_1001_1^7 - 8834280775099656206681536094/7477608080663661728751823*c_1001_1^6 - 5763833790322493857042983807/7477608080663661728751823*c_1001_1^5 - 3147256459976639545003209375/7477608080663661728751823*c_1001_1^4 - 9536356693711532806009049985/59820864645309293830014584*c_1001_1^\ 3 - 217505463733541823618034682/7477608080663661728751823*c_1001_1^\ 2 - 49462616800691632445747844/7477608080663661728751823*c_1001_1 - 172416002161168942026331095/59820864645309293830014584, c_0011_12 + 215297246776986889460949/14955216161327323457503646*c_1001_\ 1^18 + 4231461880583421831614605/29910432322654646915007292*c_1001_\ 1^17 + 52862834412369295954115745/59820864645309293830014584*c_1001\ _1^16 + 235403426482046671242131317/59820864645309293830014584*c_10\ 01_1^15 + 103093842598389542153846179/7477608080663661728751823*c_1\ 001_1^14 + 279530019971990529134846387/7477608080663661728751823*c_\ 1001_1^13 + 576532976014934823408156313/7477608080663661728751823*c\ _1001_1^12 + 1803181467857331526748831709/1495521616132732345750364\ 6*c_1001_1^11 + 4890292819339792908378116863/2991043232265464691500\ 7292*c_1001_1^10 + 11956862851971306187506468969/598208646453092938\ 30014584*c_1001_1^9 + 3018745270414884473708751181/1495521616132732\ 3457503646*c_1001_1^8 + 11115689814528069759149768349/5982086464530\ 9293830014584*c_1001_1^7 + 4400270238280432864002615261/29910432322\ 654646915007292*c_1001_1^6 + 2584661046218938840872574611/299104323\ 22654646915007292*c_1001_1^5 + 1293835361179046611597640275/2991043\ 2322654646915007292*c_1001_1^4 + 422828291321822277108614149/299104\ 32322654646915007292*c_1001_1^3 - 23957234291187672927574693/149552\ 16161327323457503646*c_1001_1^2 - 28969197148524493586660753/598208\ 64645309293830014584*c_1001_1 + 21797535472061135626063429/59820864\ 645309293830014584, c_0011_6 - 943532720094245710073163/59820864645309293830014584*c_1001_1\ ^18 - 9646965967384913808121651/59820864645309293830014584*c_1001_1\ ^17 - 15420760260732133172102385/14955216161327323457503646*c_1001_\ 1^16 - 35158081774984701907350466/7477608080663661728751823*c_1001_\ 1^15 - 125876337087483466193128872/7477608080663661728751823*c_1001\ _1^14 - 350890563615336082081024952/7477608080663661728751823*c_100\ 1_1^13 - 1500924813680750264266643903/14955216161327323457503646*c_\ 1001_1^12 - 9788090190311102633326973893/59820864645309293830014584\ *c_1001_1^11 - 3367000114018099406549855667/14955216161327323457503\ 646*c_1001_1^10 - 16558328898638494934660424639/5982086464530929383\ 0014584*c_1001_1^9 - 8751238887093260519344425435/29910432322654646\ 915007292*c_1001_1^8 - 8202460232099218940048934293/299104323226546\ 46915007292*c_1001_1^7 - 6695967425886316648050195369/2991043232265\ 4646915007292*c_1001_1^6 - 4347121361419854466746577827/29910432322\ 654646915007292*c_1001_1^5 - 2317681692380026968293175191/299104323\ 22654646915007292*c_1001_1^4 - 1926256778056828897855657833/5982086\ 4645309293830014584*c_1001_1^3 - 496055985181778387933047055/598208\ 64645309293830014584*c_1001_1^2 - 19158443646697198829911934/747760\ 8080663661728751823*c_1001_1 - 13673945337290919299567553/149552161\ 61327323457503646, c_0011_9 - 1879879599181141737164221/29910432322654646915007292*c_1001_\ 1^18 - 17754919762187473213767847/29910432322654646915007292*c_1001\ _1^17 - 27627105635050191794499814/7477608080663661728751823*c_1001\ _1^16 - 487935707185632589899773877/29910432322654646915007292*c_10\ 01_1^15 - 427603481777035650618333492/7477608080663661728751823*c_1\ 001_1^14 - 2313983108550453589338429453/14955216161327323457503646*\ c_1001_1^13 - 4812489799232923500073606339/149552161613273234575036\ 46*c_1001_1^12 - 15357468340084020314892504687/29910432322654646915\ 007292*c_1001_1^11 - 10783259802006167736640901451/1495521616132732\ 3457503646*c_1001_1^10 - 26141969811993789034362418001/299104323226\ 54646915007292*c_1001_1^9 - 27440031407663514925025196675/299104323\ 22654646915007292*c_1001_1^8 - 26117307093309991124153932275/299104\ 32322654646915007292*c_1001_1^7 - 5227259167722987236993542914/7477\ 608080663661728751823*c_1001_1^6 - 6864294682620272264354771641/14955216161327323457503646*c_1001_1^5 - 3780045009721688125028918999/14955216161327323457503646*c_1001_1^4 - 2867450419170507089373543489/29910432322654646915007292*c_1001_1^3 - 703136527043112012610194613/29910432322654646915007292*c_1001_1^2 - 53974271484265355111048850/7477608080663661728751823*c_1001_1 - 46201066437875054617518153/29910432322654646915007292, c_0101_0 - 3991114142575975302786707/59820864645309293830014584*c_1001_\ 1^18 - 18302537622382944758618833/29910432322654646915007292*c_1001\ _1^17 - 224875556234070589225206777/59820864645309293830014584*c_10\ 01_1^16 - 244384599362630299571990331/14955216161327323457503646*c_\ 1001_1^15 - 846244898020960697230930383/14955216161327323457503646*\ c_1001_1^14 - 4500423194589663063242316143/299104323226546469150072\ 92*c_1001_1^13 - 2293719905846416031993058481/747760808066366172875\ 1823*c_1001_1^12 - 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