Magma V2.19-8 Wed Aug 21 2013 01:04:36 on localhost [Seed = 1208897591] Type ? for help. Type -D to quit. Loading file "L14n24441__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24441 geometric_solution 12.11532358 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 0 0 -1 1 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 1 -1 1 0 3 -4 -2 2 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.965114872200 1.332599297729 0 5 5 6 0132 0132 1023 0132 0 0 1 1 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 -1 0 1 -1 0 1 0 -2 2 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498035331821 0.234868494217 7 0 8 3 0132 0132 0132 0132 1 0 1 1 0 0 0 0 -1 0 0 1 0 -1 0 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 3 0 0 -3 0 2 0 -2 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.074052726876 0.553523348300 6 9 2 0 0132 0132 0132 0132 1 0 1 1 0 0 0 0 0 0 -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 1 0 -1 0 0 3 -3 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277886493349 0.697714694233 10 7 0 11 0132 0132 0132 0132 1 0 1 1 0 0 0 0 1 0 -1 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 1 -1 -4 0 4 0 -3 3 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619030433111 0.833066392899 10 1 1 10 1023 0132 1023 0132 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 -1 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 -3 0 0 3 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.987772741412 0.794044066143 3 11 1 12 0132 2103 0132 0132 0 0 1 1 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 -1 1 0 0 0 0 2 1 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723818067334 0.970929078712 2 4 9 8 0132 0132 2103 0321 1 0 1 1 0 0 0 0 1 0 0 -1 0 -1 0 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 -3 0 0 3 0 3 0 -3 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457320472668 1.093831294889 12 7 11 2 3120 0321 0132 0132 1 0 1 0 0 0 0 0 0 0 0 0 0 -1 0 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 -1 3 0 -2 -1 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.817163116125 1.031363469325 7 3 12 12 2103 0132 2103 2031 1 0 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543407801683 1.051086254153 4 5 5 11 0132 1023 0132 1230 0 0 1 1 0 0 0 0 -1 0 0 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 0 0 0 0 4 0 0 -4 -3 3 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.987772741412 0.794044066143 10 6 4 8 3012 2103 0132 0132 1 0 0 1 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 -1 1 0 0 0 0 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.678411651629 0.815852094318 9 9 6 8 2103 1302 0132 3120 0 0 1 1 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 -1 1 0 0 0 0 -1 0 0 1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543407801683 1.051086254153 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_3']), 'c_1001_10' : d['c_0101_5'], 'c_1001_12' : d['c_0110_9'], 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0011_12'], 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : negation(d['c_0110_9']), 'c_1010_12' : negation(d['c_0011_8']), 'c_1010_11' : negation(d['c_0110_9']), 'c_1010_10' : d['c_0101_10'], '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_0101_10'], '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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1100_0'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0110_9']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_8'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0101_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0110_9'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0011_12'], 'c_1010_2' : d['c_0011_12'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_12'], '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'], 'c_1100_12' : negation(d['c_0101_8']), '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_11' : d['c_0101_8'], 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : negation(d['c_0011_8']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_11'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : negation(d['c_0011_8']), 'c_0101_1' : d['c_0011_11'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_12'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_8']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_12'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_12']})} 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_11, c_0011_12, c_0011_3, c_0011_8, c_0101_0, c_0101_10, c_0101_12, c_0101_5, c_0101_8, c_0110_9, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 4401402823869264527225475879138522079798/67042250780703268452846502\ 623711611*c_1100_0^13 - 3740076873683016653677032832286247752637/39\ 43661810629604026638029566100683*c_1100_0^12 - 61936025884335511601473446058610429802203/6704225078070326845284650\ 2623711611*c_1100_0^11 - 711805681243888242020174595256599072262389\ /134084501561406536905693005247423222*c_1100_0^10 - 586949421939093451223262219269466008768993/134084501561406536905693\ 005247423222*c_1100_0^9 - 36585860394407697672131126207823338308966\ 3/67042250780703268452846502623711611*c_1100_0^8 - 252362151737916795091012024532670370695954/670422507807032684528465\ 02623711611*c_1100_0^7 - 259630277327192886334552380365640396727205\ /67042250780703268452846502623711611*c_1100_0^6 - 11703359439381165302082707948170823241895/4623603502117466789851482\ 939566318*c_1100_0^5 - 115785990386183494849436031708248882781336/6\ 7042250780703268452846502623711611*c_1100_0^4 - 199230046719786467105047137793660615079/271976676595145105285381349\ 386254*c_1100_0^3 - 38983917164403650089005224702396172551559/13408\ 4501561406536905693005247423222*c_1100_0^2 - 8168584499607811853387915162753080717305/13408450156140653690569300\ 5247423222*c_1100_0 - 890619532452452600364936147536674310229/67042\ 250780703268452846502623711611, c_0011_0 - 1, c_0011_11 + 3121988802193686856264825817205536/135988338297572552642690\ 674693127*c_1100_0^13 - 46858315045956077791405402730993750/1359883\ 38297572552642690674693127*c_1100_0^12 - 18073800515700312876109027248635459/1359883382975725526426906746931\ 27*c_1100_0^11 - 234147862963187235829620485590156602/1359883382975\ 72552642690674693127*c_1100_0^10 - 72636685412240379402786474533003833/1359883382975725526426906746931\ 27*c_1100_0^9 - 176994275740513623716449313073459831/13598833829757\ 2552642690674693127*c_1100_0^8 - 6424634464501620777410660780379564\ 2/135988338297572552642690674693127*c_1100_0^7 - 113463881742923320653478764200304799/135988338297572552642690674693\ 127*c_1100_0^6 - 44152236500935255486784497026830621/13598833829757\ 2552642690674693127*c_1100_0^5 - 3562184489161559085640648089002537\ 0/135988338297572552642690674693127*c_1100_0^4 - 5981016000689402674413676110832108/13598833829757255264269067469312\ 7*c_1100_0^3 - 3017192652457487961603859462276149/13598833829757255\ 2642690674693127*c_1100_0^2 + 340432563328815719476489207041901/135\ 988338297572552642690674693127*c_1100_0 - 107914027868973876146594257318310/135988338297572552642690674693127\ , c_0011_12 - 1028697474923679307464931063686606/135988338297572552642690\ 674693127*c_1100_0^13 + 16700253432903499070983337085578371/1359883\ 38297572552642690674693127*c_1100_0^12 - 12816618190161994409888624764457621/1359883382975725526426906746931\ 27*c_1100_0^11 + 67669375135443088279459782416333817/13598833829757\ 2552642690674693127*c_1100_0^10 - 714313197062410825243762757538766\ 20/135988338297572552642690674693127*c_1100_0^9 + 17908697318636987506980906986015347/1359883382975725526426906746931\ 27*c_1100_0^8 - 53819627231791727655583264457940737/135988338297572\ 552642690674693127*c_1100_0^7 + 2556629033785881040835255509362347/\ 135988338297572552642690674693127*c_1100_0^6 - 34665540680912033471426047313509515/1359883382975725526426906746931\ 27*c_1100_0^5 - 11039266818882828675175655203067951/135988338297572\ 552642690674693127*c_1100_0^4 - 14480064863038293682164506437276955\ /135988338297572552642690674693127*c_1100_0^3 - 2994446349759082979336759091601784/13598833829757255264269067469312\ 7*c_1100_0^2 - 1620705246368896653008942120449245/13598833829757255\ 2642690674693127*c_1100_0 + 66596941016769764058577445735390/135988\ 338297572552642690674693127, c_0011_3 + 3037652336119646169436705491326370/1359883382975725526426906\ 74693127*c_1100_0^13 - 42524763537137755799110126690619755/13598833\ 8297572552642690674693127*c_1100_0^12 - 63362504300132183718844493756316560/1359883382975725526426906746931\ 27*c_1100_0^11 - 249616136155175074755369177798956363/1359883382975\ 72552642690674693127*c_1100_0^10 - 301906215384497173183427953146126958/135988338297572552642690674693\ 127*c_1100_0^9 - 263691695747605530750508326383674411/1359883382975\ 72552642690674693127*c_1100_0^8 - 240695493337803664987583815391669\ 684/135988338297572552642690674693127*c_1100_0^7 - 188901882523317789168119713618616390/135988338297572552642690674693\ 127*c_1100_0^6 - 158117640263592180745742658036086464/1359883382975\ 72552642690674693127*c_1100_0^5 - 870236010720238548305760912143500\ 48/135988338297572552642690674693127*c_1100_0^4 - 43506090993144576281477791430863827/1359883382975725526426906746931\ 27*c_1100_0^3 - 11525981665631821172893716070696880/135988338297572\ 552642690674693127*c_1100_0^2 - 2847590279410115674478270293919319/\ 135988338297572552642690674693127*c_1100_0 + 76631463699758609643228675713257/135988338297572552642690674693127, c_0011_8 + 44112085583162369309980897406110/135988338297572552642690674\ 693127*c_1100_0^13 - 936861039123796257785912737880003/135988338297\ 572552642690674693127*c_1100_0^12 + 3775317194881263985636273087416387/13598833829757255264269067469312\ 7*c_1100_0^11 - 283372393273449773432389691804482/13598833829757255\ 2642690674693127*c_1100_0^10 + 19653681731514477675025486096852021/\ 135988338297572552642690674693127*c_1100_0^9 + 10694234728039046838332312041333754/1359883382975725526426906746931\ 27*c_1100_0^8 + 14858107955136080123125642976854421/135988338297572\ 552642690674693127*c_1100_0^7 + 8686847168335496345162692069442838/\ 135988338297572552642690674693127*c_1100_0^6 + 11191440498091933755623024883322994/1359883382975725526426906746931\ 27*c_1100_0^5 + 6367721678973058834528818276593886/1359883382975725\ 52642690674693127*c_1100_0^4 + 4091145775986012951411683736169584/1\ 35988338297572552642690674693127*c_1100_0^3 + 1333587033286746531899304670378545/13598833829757255264269067469312\ 7*c_1100_0^2 + 449241712564632684067719576766076/135988338297572552\ 642690674693127*c_1100_0 + 97968706773944337225941908666628/1359883\ 38297572552642690674693127, c_0101_0 - 1, c_0101_10 + 989288295008627871007409181543104/1359883382975725526426906\ 74693127*c_1100_0^13 - 14519411851241456548537025762058104/13598833\ 8297572552642690674693127*c_1100_0^12 - 10479229669377178902433961623424966/1359883382975725526426906746931\ 27*c_1100_0^11 - 79055897365855797431757480695492499/13598833829757\ 2552642690674693127*c_1100_0^10 - 460983864480210371338820196964503\ 09/135988338297572552642690674693127*c_1100_0^9 - 76293865818817213089491384593742945/1359883382975725526426906746931\ 27*c_1100_0^8 - 30530436707569850045384161916819085/135988338297572\ 552642690674693127*c_1100_0^7 - 47782317420491139247675703023569108\ /135988338297572552642690674693127*c_1100_0^6 - 22457986670640772274454731585340227/1359883382975725526426906746931\ 27*c_1100_0^5 - 17651754208868686128517179192064521/135988338297572\ 552642690674693127*c_1100_0^4 - 3493521483681766981575773174786241/\ 135988338297572552642690674693127*c_1100_0^3 - 874378920122123322872631926905308/135988338297572552642690674693127\ *c_1100_0^2 + 456322693903404613089455920424057/1359883382975725526\ 42690674693127*c_1100_0 + 114682545827670224301550472108201/1359883\ 38297572552642690674693127, c_0101_12 + 256424279885040556784137578190988/1359883382975725526426906\ 74693127*c_1100_0^13 - 3706892221142254760902370564666368/135988338\ 297572552642690674693127*c_1100_0^12 - 3499886788761525240367521195005325/13598833829757255264269067469312\ 7*c_1100_0^11 - 21779698810042048049930309072556935/135988338297572\ 552642690674693127*c_1100_0^10 - 1681191626631863796900496764363027\ 5/135988338297572552642690674693127*c_1100_0^9 - 26050385778204635655391938183096881/1359883382975725526426906746931\ 27*c_1100_0^8 - 13927418483223388508141922847591112/135988338297572\ 552642690674693127*c_1100_0^7 - 17598490468006990287753087142964369\ /135988338297572552642690674693127*c_1100_0^6 - 10405316565301996378511719854189295/1359883382975725526426906746931\ 27*c_1100_0^5 - 8139883901701495653798986346471811/1359883382975725\ 52642690674693127*c_1100_0^4 - 2883057496821604414483689686135740/1\ 35988338297572552642690674693127*c_1100_0^3 - 1279255263402158453700983144636300/13598833829757255264269067469312\ 7*c_1100_0^2 - 255381049171513346651968256171569/135988338297572552\ 642690674693127*c_1100_0 - 133550967014500144474434805014497/135988\ 338297572552642690674693127, c_0101_5 + 989288295008627871007409181543104/13598833829757255264269067\ 4693127*c_1100_0^13 - 14519411851241456548537025762058104/135988338\ 297572552642690674693127*c_1100_0^12 - 10479229669377178902433961623424966/1359883382975725526426906746931\ 27*c_1100_0^11 - 79055897365855797431757480695492499/13598833829757\ 2552642690674693127*c_1100_0^10 - 460983864480210371338820196964503\ 09/135988338297572552642690674693127*c_1100_0^9 - 76293865818817213089491384593742945/1359883382975725526426906746931\ 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5988338297572552642690674693127*c_1100_0^3 + 212404032680353959201264805724360/135988338297572552642690674693127\ *c_1100_0^2 - 596791304141884166589339634619900/1359883382975725526\ 42690674693127*c_1100_0 + 39036422525765736927353947632508/13598833\ 8297572552642690674693127, c_1100_0^14 - 2915/202*c_1100_0^13 - 1427/101*c_1100_0^12 - 16857/202*c_1100_0^11 - 13967/202*c_1100_0^10 - 9693/101*c_1100_0^9 - 6446/101*c_1100_0^8 - 13771/202*c_1100_0^7 - 8849/202*c_1100_0^6 - 3273/101*c_1100_0^5 - 2889/202*c_1100_0^4 - 635/101*c_1100_0^3 - 140/101*c_1100_0^2 - 65/202*c_1100_0 + 1/202 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.400 seconds, Total memory usage: 32.09MB