Magma V2.19-8 Wed Aug 21 2013 00:57:11 on localhost [Seed = 2177342292] Type ? for help. Type -D to quit. Loading file "L13n387__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n387 geometric_solution 12.38798144 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 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 1 -1 0 0 0 0 3 -3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649054445980 0.558157592789 0 5 7 6 0132 0132 0132 0132 1 1 0 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 0 0 0 0 0 1 -1 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560846729200 0.611920312860 8 0 10 9 0132 0132 0132 0132 1 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 -1 0 1 0 -1 1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.861153715222 0.816672301948 11 9 12 0 0132 0132 0132 0132 1 1 0 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 0 1 -1 0 0 0 0 1 0 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.446962909813 0.676466344366 11 12 0 7 3012 3012 0132 0132 1 1 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 -1 1 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.105749484280 0.926372794941 10 1 8 12 1023 0132 1023 0321 1 1 1 0 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 0 1 -1 0 0 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712896867456 0.733093687471 10 9 1 12 2103 1023 0132 0132 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 -1 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 0.521916796433 0.864232474977 8 9 4 1 3201 0321 0132 0132 1 1 1 1 0 0 0 0 1 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 3 0 -2 -1 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670482905256 0.867897798069 2 11 5 7 0132 2103 1023 2310 1 1 1 0 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 0 0 0 1 0 -1 0 3 0 0 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.629855222252 0.834585447008 6 3 2 7 1023 0132 0132 0321 1 1 1 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 2 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592043686753 0.646575196214 11 5 6 2 2103 1023 2103 0132 1 1 1 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 1 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797330676172 0.939002204584 3 8 10 4 0132 2103 2103 1230 1 1 1 0 0 0 -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 -2 2 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 0.563346833054 0.592885895297 4 5 6 3 1230 0321 0132 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 1 0 -1 0 0 0 0 0 2 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524444645680 0.673284752557 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_12'], 'c_1001_11' : d['c_0011_0'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0011_12']), 'c_1001_7' : negation(d['c_0101_12']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_0011_12']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_1001_1'], 'c_1010_11' : d['c_0101_1'], 'c_1010_10' : negation(d['c_0011_12']), 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_0'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : negation(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' : negation(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_0'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_12']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : negation(d['c_0101_12']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_12']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0011_12']), 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : negation(d['c_0101_1']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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_1100_0'], 's_1_7' : d['1'], 's_1_6' : negation(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_11'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_4'], 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : d['c_0011_4'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], '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_8'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_12']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0011_7']})} 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_4, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_8, c_1001_0, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 4228278679478233930394807833/81105794156075102019106560*c_1100_0^11 - 1708615808922974097389804239/40552897078037551009553280*c_1100_0^\ 10 + 5228260493348497801784844179/81105794156075102019106560*c_1100\ _0^9 + 3421425416583989636071422913/27035264718691700673035520*c_11\ 00_0^8 + 4149092537928952840471439/4384096981409464974005760*c_1100\ _0^7 + 161668089518018252654743123/8110579415607510201910656*c_1100\ _0^6 - 104427020883137768951515957991/162211588312150204038213120*c\ _1100_0^5 - 8867989925377259330021156273/10138224269509387752388320\ *c_1100_0^4 - 521423650796734234248289541/844852022459115646032360*\ c_1100_0^3 - 53770167904110768325568703349/811057941560751020191065\ 60*c_1100_0^2 - 1645735960213141641527238183/6007836604153711260674\ 560*c_1100_0 + 9400478250761409334422906277/81105794156075102019106\ 560, c_0011_0 - 1, c_0011_11 - 657339795947385122/3590226170572478523*c_1100_0^11 - 296963997866170988/10770678511717435569*c_1100_0^10 + 2581896764407332982/10770678511717435569*c_1100_0^9 + 389850282960242834/1196742056857492841*c_1100_0^8 - 271891963896243199/1196742056857492841*c_1100_0^7 + 2366170566362267648/10770678511717435569*c_1100_0^6 - 9444794592584430281/3590226170572478523*c_1100_0^5 - 15204211929819187058/10770678511717435569*c_1100_0^4 - 3649669430742138482/3590226170572478523*c_1100_0^3 - 4503865491340139854/3590226170572478523*c_1100_0^2 - 6218110164962792045/10770678511717435569*c_1100_0 + 3875243060731031522/10770678511717435569, c_0011_12 - 301310489385152702/10770678511717435569*c_1100_0^11 + 1028437434211869968/10770678511717435569*c_1100_0^10 - 1821965297724044708/10770678511717435569*c_1100_0^9 - 554893775248465514/3590226170572478523*c_1100_0^8 + 2064077322671048687/10770678511717435569*c_1100_0^7 + 7335725453542795604/10770678511717435569*c_1100_0^6 - 9158121807868390358/10770678511717435569*c_1100_0^5 + 8252244825907899574/10770678511717435569*c_1100_0^4 - 6611255484834953329/3590226170572478523*c_1100_0^3 - 10306842818717145542/10770678511717435569*c_1100_0^2 - 31585842546977481/1196742056857492841*c_1100_0 - 3486769873839665956/10770678511717435569, c_0011_4 - 768911895135562412/10770678511717435569*c_1100_0^11 + 1425045488994735650/10770678511717435569*c_1100_0^10 + 554840581512834244/10770678511717435569*c_1100_0^9 - 234689922652145660/3590226170572478523*c_1100_0^8 - 2972941141703973208/10770678511717435569*c_1100_0^7 + 3458608189713741887/10770678511717435569*c_1100_0^6 - 10616313080107575266/10770678511717435569*c_1100_0^5 + 16490747201280281782/10770678511717435569*c_1100_0^4 - 1773919457571843676/3590226170572478523*c_1100_0^3 - 8957102036368698215/10770678511717435569*c_1100_0^2 + 345843502287663666/1196742056857492841*c_1100_0 - 3631552826296214095/10770678511717435569, c_0011_7 + 968605352665431208/10770678511717435569*c_1100_0^11 - 570222299070927272/3590226170572478523*c_1100_0^10 - 116629561517903056/10770678511717435569*c_1100_0^9 + 124791744449403556/3590226170572478523*c_1100_0^8 + 578629818977249984/10770678511717435569*c_1100_0^7 - 4021363814190373268/10770678511717435569*c_1100_0^6 + 20665993074869946640/10770678511717435569*c_1100_0^5 - 15276734746505158474/10770678511717435569*c_1100_0^4 + 438815587521409662/1196742056857492841*c_1100_0^3 + 502195613725564078/10770678511717435569*c_1100_0^2 - 24310485749678394758/10770678511717435569*c_1100_0 + 4627346607560960242/10770678511717435569, c_0101_0 + 1267526087194534414/10770678511717435569*c_1100_0^11 + 82179918320115922/10770678511717435569*c_1100_0^10 - 916251477421576702/3590226170572478523*c_1100_0^9 - 557865136427033534/3590226170572478523*c_1100_0^8 + 5098136560589383685/10770678511717435569*c_1100_0^7 - 229956216956936333/3590226170572478523*c_1100_0^6 + 8774853891475316125/10770678511717435569*c_1100_0^5 + 1043719227265140324/1196742056857492841*c_1100_0^4 + 48199752898361638/3590226170572478523*c_1100_0^3 + 9397653559445954887/10770678511717435569*c_1100_0^2 + 9868542591143482739/10770678511717435569*c_1100_0 - 961605708708611285/3590226170572478523, c_0101_1 - 1, c_0101_12 + 605160561956517034/10770678511717435569*c_1100_0^11 - 493087175049138040/10770678511717435569*c_1100_0^10 - 196151032577336102/10770678511717435569*c_1100_0^9 - 132490896722219630/3590226170572478523*c_1100_0^8 - 298373439548859829/10770678511717435569*c_1100_0^7 - 1337766503031876826/10770678511717435569*c_1100_0^6 + 11597019827071494199/10770678511717435569*c_1100_0^5 - 3451381414001048504/10770678511717435569*c_1100_0^4 + 3300317980182616271/3590226170572478523*c_1100_0^3 + 270163779548558536/10770678511717435569*c_1100_0^2 - 1168989156434507668/1196742056857492841*c_1100_0 + 4726033098707051264/10770678511717435569, c_0101_2 - 393471382406109800/10770678511717435569*c_1100_0^11 + 530472715303914308/10770678511717435569*c_1100_0^10 + 1318310367602285392/10770678511717435569*c_1100_0^9 - 558995301835642154/3590226170572478523*c_1100_0^8 - 1494379805164439260/10770678511717435569*c_1100_0^7 + 3171600615020420828/10770678511717435569*c_1100_0^6 - 3551748893750920058/10770678511717435569*c_1100_0^5 - 964551620418867023/10770678511717435569*c_1100_0^4 + 4547199213007021760/3590226170572478523*c_1100_0^3 - 11257891843895012819/10770678511717435569*c_1100_0^2 + 632497021825487386/1196742056857492841*c_1100_0 + 5427266127995601131/10770678511717435569, c_0101_8 - 489073181574801070/3590226170572478523*c_1100_0^11 + 22604609988658916/1196742056857492841*c_1100_0^10 + 770181137423266306/3590226170572478523*c_1100_0^9 + 222587771543258546/1196742056857492841*c_1100_0^8 - 901275079287553487/3590226170572478523*c_1100_0^7 + 417541425115813460/3590226170572478523*c_1100_0^6 - 6274844628745895833/3590226170572478523*c_1100_0^5 - 3535828500053795408/3590226170572478523*c_1100_0^4 + 136424314036417684/1196742056857492841*c_1100_0^3 - 314249045600940250/3590226170572478523*c_1100_0^2 + 3776450545981979675/3590226170572478523*c_1100_0 + 629674448287029236/3590226170572478523, c_1001_0 + 367924918005163012/3590226170572478523*c_1100_0^11 + 1014138232265713532/10770678511717435569*c_1100_0^10 - 2390064883329231964/10770678511717435569*c_1100_0^9 - 308348651933799608/1196742056857492841*c_1100_0^8 + 608940659778850216/3590226170572478523*c_1100_0^7 + 1430973035811056062/10770678511717435569*c_1100_0^6 + 3251853546146411686/3590226170572478523*c_1100_0^5 + 22432838832665496194/10770678511717435569*c_1100_0^4 + 1574598275509134233/3590226170572478523*c_1100_0^3 + 78968366958423912/1196742056857492841*c_1100_0^2 + 13230910215539322290/10770678511717435569*c_1100_0 - 1790336853714996686/10770678511717435569, c_1001_1 + 1707631127467177120/10770678511717435569*c_1100_0^11 - 2276777765818237348/10770678511717435569*c_1100_0^10 - 3087284841971027072/10770678511717435569*c_1100_0^9 + 251407744646489632/3590226170572478523*c_1100_0^8 + 7905507969212300054/10770678511717435569*c_1100_0^7 - 3888407475418953070/10770678511717435569*c_1100_0^6 + 19445161714289925430/10770678511717435569*c_1100_0^5 - 20323407292446328310/10770678511717435569*c_1100_0^4 - 2497220575228745869/3590226170572478523*c_1100_0^3 - 4426808785536247424/10770678511717435569*c_1100_0^2 - 867041472825719834/1196742056857492841*c_1100_0 + 3283055964377920028/10770678511717435569, c_1100_0^12 + 2/13*c_1100_0^11 - 21/13*c_1100_0^10 - 19/13*c_1100_0^9 + 37/26*c_1100_0^8 - 10/13*c_1100_0^7 + 25/2*c_1100_0^6 + 112/13*c_1100_0^5 + 35/13*c_1100_0^4 + 103/13*c_1100_0^3 - 15/26*c_1100_0^2 - 41/13*c_1100_0 + 37/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB