Magma V2.19-8 Wed Aug 21 2013 00:59:16 on localhost [Seed = 1031480929] Type ? for help. Type -D to quit. Loading file "L13n6783__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6783 geometric_solution 12.07406134 oriented_manifold CS_known -0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 0213 2 2 1 2 0 0 0 0 -1 0 0 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 1 -1 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.344478603053 0.809883618634 0 4 6 5 0132 0132 0132 0132 1 2 2 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 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516614779947 0.398027446995 7 0 5 0 0132 0132 1230 0213 2 1 2 1 0 0 0 0 0 0 1 -1 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 0 -1 1 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.344478603053 0.809883618634 6 8 8 0 0132 0132 0321 0132 2 2 2 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 1 0 -1 4 0 -4 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 0.055268733379 1.045581828126 9 1 10 9 0132 0132 0132 1302 1 1 1 2 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 0 0 0 1.347274954196 1.416818241188 6 10 1 2 2103 3012 0132 3012 1 2 1 2 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 -4 0 3 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 0.957580189991 1.340779659686 3 9 5 1 0132 1302 2103 0132 1 2 1 2 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 0 0 0 0 1 -1 0 -4 0 4 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 0.725915842834 0.882968272115 2 9 8 11 0132 0132 2103 0132 1 1 1 2 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 0 0 0 -1 0 1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.344211495603 0.633340313144 7 3 3 10 2103 0132 0321 2031 2 1 1 2 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 0 1 0 0 0 0 0 0 0 0 -3 -1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.055268733379 1.045581828126 4 7 4 6 0132 0132 2031 2031 1 1 2 1 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 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 0.230529629100 1.385606311577 5 8 12 4 1230 1302 0132 0132 1 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 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 0.511786623139 0.372544444628 12 12 7 12 0132 1230 0132 2031 1 1 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 0 -1 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 0.294509259323 0.987810363125 11 11 11 10 0132 1302 3012 0132 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 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 0.722816123669 0.929699480961 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_0101_9']), 'c_1001_10' : d['c_0110_8'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : negation(d['c_0101_9']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0110_8'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_10']), 's_3_11' : negation(d['1']), 's_0_11' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_11']), '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_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0110_5']), 'c_1100_4' : d['c_0101_9'], 'c_1100_7' : negation(d['c_0110_8']), 'c_1100_6' : negation(d['c_0110_5']), 'c_1100_1' : negation(d['c_0110_5']), 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_0110_5'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0110_8']), 'c_1100_10' : d['c_0101_9'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_9']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : d['c_0011_10'], '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' : d['c_0101_9'], '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_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : 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' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0011_5'], 'c_0110_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_1']), 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_5'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['1']})} 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_9, c_0110_5, c_0110_8, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 2481853881047278660605019888978739/31953083693866215114874222713765\ 8880*c_1001_1^8 - 13629279681319735060562288587106641/1065102789795\ 54050382914075712552960*c_1001_1^7 + 17554036916032111949752411268634577/3994135461733276889359277839220\ 7360*c_1001_1^6 - 35033981252465834305874346769925371/3195308369386\ 6215114874222713765888*c_1001_1^5 + 1061889358457803793526800708702438213/31953083693866215114874222713\ 7658880*c_1001_1^4 - 680689669736064912288283655294875021/319530836\ 938662151148742227137658880*c_1001_1^3 + 534568520910083142538804404558315367/532551394897770251914570378562\ 76480*c_1001_1^2 + 10358330859192128509984806238022377/798827092346\ 6553778718555678441472*c_1001_1 + 152201550076257176911552995629898\ 5977/106510278979554050382914075712552960, c_0011_0 - 1, c_0011_10 + 24215855868681837872161/1856492259678787656164765*c_1001_1^\ 8 - 104953739090200458166762/1856492259678787656164765*c_1001_1^7 + 309527751613668383649254/1856492259678787656164765*c_1001_1^6 - 217962693235907545861770/371298451935757531232953*c_1001_1^5 + 885484359149683267662992/1856492259678787656164765*c_1001_1^4 - 3388089398262137642446139/1856492259678787656164765*c_1001_1^3 + 133884278474619121722143/1856492259678787656164765*c_1001_1^2 - 691647482114477781991112/371298451935757531232953*c_1001_1 + 1419467604989209090406269/1856492259678787656164765, c_0011_11 - 1, c_0011_3 - 26417263742541442057742/1113895355807272593698859*c_1001_1^8 + 41140584005857844029643/371298451935757531232953*c_1001_1^7 - 283095623158865051694599/1113895355807272593698859*c_1001_1^6 + 951880939251328873472692/1113895355807272593698859*c_1001_1^5 - 994514653663251433361669/1113895355807272593698859*c_1001_1^4 + 2494131919271598741830356/1113895355807272593698859*c_1001_1^3 - 618333812560037123962021/371298451935757531232953*c_1001_1^2 + 1928093418341780724899870/1113895355807272593698859*c_1001_1 - 750041149047213786096119/371298451935757531232953, c_0011_5 + 26002084176062811206507/5569476779036362968494295*c_1001_1^8 - 35769900403819254139208/1856492259678787656164765*c_1001_1^7 + 125668616729378747849453/5569476779036362968494295*c_1001_1^6 - 76444345213107782428721/1113895355807272593698859*c_1001_1^5 - 418959941952465557025406/5569476779036362968494295*c_1001_1^4 + 822450228266668132032872/5569476779036362968494295*c_1001_1^3 - 172131732042197158002763/1856492259678787656164765*c_1001_1^2 + 304355002534792702127600/1113895355807272593698859*c_1001_1 + 1316952743458345473659891/1856492259678787656164765, c_0101_0 - 1, c_0101_1 - 107084347310135721527963/5569476779036362968494295*c_1001_1^\ 8 + 120242236455961553296017/1856492259678787656164765*c_1001_1^7 - 663269797779411095249627/5569476779036362968494295*c_1001_1^6 + 527451333200876701740629/1113895355807272593698859*c_1001_1^5 + 1015104426591144839136019/5569476779036362968494295*c_1001_1^4 + 8590734785976906909523237/5569476779036362968494295*c_1001_1^3 + 3117594330334145823819877/1856492259678787656164765*c_1001_1^2 + 3013022976335962346178490/1113895355807272593698859*c_1001_1 + 3343210105568010830589081/1856492259678787656164765, c_0101_10 + 110855019417080652297038/5569476779036362968494295*c_1001_1\ ^8 - 100132133331670485987067/1856492259678787656164765*c_1001_1^7 + 476889970401294070669127/5569476779036362968494295*c_1001_1^6 - 434378083083983375300636/1113895355807272593698859*c_1001_1^5 - 3827186042226367672304599/5569476779036362968494295*c_1001_1^4 - 8251088738688188638885072/5569476779036362968494295*c_1001_1^3 - 6745538496637435829256292/1856492259678787656164765*c_1001_1^2 - 4148692991465351472813922/1113895355807272593698859*c_1001_1 - 6234051642553760371069616/1856492259678787656164765, c_0101_9 + 105035434819338831580799/5569476779036362968494295*c_1001_1^\ 8 - 116902991449473696005166/1856492259678787656164765*c_1001_1^7 + 660753417452949536948366/5569476779036362968494295*c_1001_1^6 - 554780926564600622837339/1113895355807272593698859*c_1001_1^5 - 801845855094559323452032/5569476779036362968494295*c_1001_1^4 - 7462933535331250785120046/5569476779036362968494295*c_1001_1^3 - 3549653149660838074414091/1856492259678787656164765*c_1001_1^2 - 2102515053877565151557413/1113895355807272593698859*c_1001_1 - 3395674128544918381427328/1856492259678787656164765, c_0110_5 - 44297092288213068825781/5569476779036362968494295*c_1001_1^8 + 28568371036187118514184/1856492259678787656164765*c_1001_1^7 - 14114040528236424220504/5569476779036362968494295*c_1001_1^6 + 125206591135731237831910/1113895355807272593698859*c_1001_1^5 + 1996546788178177468643648/5569476779036362968494295*c_1001_1^4 + 2844993256725888057623429/5569476779036362968494295*c_1001_1^3 + 2605152290047992063143159/1856492259678787656164765*c_1001_1^2 + 1943001468039942285659171/1113895355807272593698859*c_1001_1 + 2694438752276997292466937/1856492259678787656164765, c_0110_8 + 1939861532580606905413/1856492259678787656164765*c_1001_1^8 + 16770858117803210018099/1856492259678787656164765*c_1001_1^7 - 61287815683885155426413/1856492259678787656164765*c_1001_1^6 + 40134281160205749178901/371298451935757531232953*c_1001_1^5 - 1008446729043936116284189/1856492259678787656164765*c_1001_1^4 - 262718401118979284588342/1856492259678787656164765*c_1001_1^3 - 3195885346976597754842201/1856492259678787656164765*c_1001_1^2 - 682059312529262107085503/371298451935757531232953*c_1001_1 - 2838377514008841989642288/1856492259678787656164765, c_1001_0 - 45492031696308376895729/22277907116145451873977180*c_1001_1^\ 8 + 110097044542925384584091/7425969038715150624659060*c_1001_1^7 - 177676846686777386637764/5569476779036362968494295*c_1001_1^6 + 148111244912722216591459/2227790711614545187397718*c_1001_1^5 - 3426035031283213809460403/22277907116145451873977180*c_1001_1^4 + 422273069580962381364871/22277907116145451873977180*c_1001_1^3 - 2121028161499855140006797/3712984519357575312329530*c_1001_1^2 + 233249303980613845731217/1113895355807272593698859*c_1001_1 - 5953846046557709743049227/7425969038715150624659060, c_1001_1^9 - 489/169*c_1001_1^8 + 1048/169*c_1001_1^7 - 4874/169*c_1001_1^6 - 1217/169*c_1001_1^5 - 21143/169*c_1001_1^4 - 17634/169*c_1001_1^3 - 46408/169*c_1001_1^2 - 26799/169*c_1001_1 - 25344/169 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB