Magma V2.19-8 Wed Aug 21 2013 01:05:34 on localhost [Seed = 1343637712] Type ? for help. Type -D to quit. Loading file "L14n2624__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n2624 geometric_solution 12.72241474 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 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 -1 0 1 -1 0 1 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389473435187 1.081345465747 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 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304916333309 1.020169086326 3 0 8 8 1023 0132 2031 0132 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 1 0 -1 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.113982209534 1.213506155257 5 2 8 0 0132 1023 2310 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277235297048 0.513211130306 6 7 0 5 0132 0132 0132 0132 1 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 1 -1 0 0 0 0 0 -5 5 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304916333309 1.020169086326 3 1 4 8 0132 0132 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 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 0.389473435187 1.081345465747 4 9 1 10 0132 0132 0132 0132 1 1 1 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 1 -1 0 0 5 -4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222877857499 1.072745071739 11 4 12 1 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 -1 1 0 0 0 -1 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 0.222877857499 1.072745071739 5 3 2 2 3201 3201 0132 1302 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 -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 0.113982209534 1.213506155257 11 6 12 12 1023 0132 1302 0321 1 0 1 1 0 0 0 0 2 0 -2 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 1 -1 1 0 -1 0 0 4 0 -4 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373004630828 0.802008192351 11 11 6 12 2103 1302 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 -3 1 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 0 0 0 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373004630828 0.802008192351 7 9 10 10 0132 1023 2103 2031 0 1 1 1 0 -2 3 -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 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 0.373004630828 0.802008192351 9 9 10 7 2031 0321 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 -1 2 0 -2 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 1 4 0 -5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373004630828 0.802008192351 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0101_7'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0110_8']), 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0110_8']), 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0110_8']), 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0101_12'], '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_1'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(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' : negation(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' : d['c_0101_12'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : d['c_0011_8'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_8'], 'c_1100_3' : d['c_0011_8'], 'c_1100_2' : d['c_0101_2'], 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : d['c_1100_1'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0110_8']), 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : negation(d['c_0110_8']), 'c_1010_4' : d['c_1001_5'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0110_8']), 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : negation(d['c_0101_2']), 'c_1100_8' : d['c_0101_2'], 's_3_1' : negation(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' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_1'], '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_11'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_10'], 'c_0101_8' : negation(d['c_0101_3']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_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_8, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_3, c_0101_7, c_0110_8, c_1001_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 7899529760492168552669149703533890032264708223/58868505998452974966\ 8556130424382990187061264048*c_1100_1^17 - 83598151423873059329323426952602541601888568119/5886850599845297496\ 68556130424382990187061264048*c_1100_1^16 - 5783438305522035513867249805659250672475859369/71790860973723140203\ 48245492980280368134893464*c_1100_1^15 - 1630834202254828758883674983538192928001162563815/58868505998452974\ 9668556130424382990187061264048*c_1100_1^14 - 923097823111604281240328916552970595360759230095/138514131761065823\ 451424971864560703573426179776*c_1100_1^13 - 26295886932143165581106911406134411483387460133253/2354740239938118\ 998674224521697531960748245056192*c_1100_1^12 - 1065449940853763951330545971914513802734027739637/73585632498066218\ 708569516303047873773382658006*c_1100_1^11 - 1603893624138730728151466088063294256136447290791/14717126499613243\ 7417139032606095747546765316012*c_1100_1^10 + 341257678595563568835832584600671001397201731971/692570658805329117\ 25712485932280351786713089888*c_1100_1^9 + 40888320990174457601747420194057908287720028914767/1177370119969059\ 499337112260848765980374122528096*c_1100_1^8 + 63827391893300737663100360965620670873000748148663/1177370119969059\ 499337112260848765980374122528096*c_1100_1^7 + 5706149667382147915601134273615664879745803696725/90566932305312269\ 179777866219135844644163271392*c_1100_1^6 + 152806416150531285697462936505147788133869067762037/235474023993811\ 8998674224521697531960748245056192*c_1100_1^5 + 138163380716911953326190028431501016544290938165899/235474023993811\ 8998674224521697531960748245056192*c_1100_1^4 + 30583153383177872749677292427475473937712297360841/1177370119969059\ 499337112260848765980374122528096*c_1100_1^3 + 24918390662537838810834555551307555356916373013945/1177370119969059\ 499337112260848765980374122528096*c_1100_1^2 + 5200260489337500346252446514877162608527183997345/18113386461062453\ 8359555732438271689288326542784*c_1100_1 + 40029932309402686208749901527609537711652188422499/2354740239938118\ 998674224521697531960748245056192, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - c_1100_1, c_0011_8 - 1, c_0101_0 + 33370259260428435041447118020424451/191112537840044812269051\ 12210042775907*c_1100_1^17 + 429888037889488039610304595048376706/1\ 9111253784004481226905112210042775907*c_1100_1^16 + 70182541665722469845933469819263515/4661281410732800299245149319522\ 62827*c_1100_1^15 + 12285025985143753402759788666975313933/19111253\ 784004481226905112210042775907*c_1100_1^14 + 150799135838024725019942903852174725307/764450151360179249076204488\ 40171103628*c_1100_1^13 + 88519623394909552808340696045731885130/19\ 111253784004481226905112210042775907*c_1100_1^12 + 680099336273629780862964456224915614895/764450151360179249076204488\ 40171103628*c_1100_1^11 + 276243387793910551236568689610200121956/1\ 9111253784004481226905112210042775907*c_1100_1^10 + 1493498056108686309257797355566062062493/76445015136017924907620448\ 840171103628*c_1100_1^9 + 413293929112046935935524328409733224772/1\ 9111253784004481226905112210042775907*c_1100_1^8 + 388694034667310557796496221312925931639/191112537840044812269051122\ 10042775907*c_1100_1^7 + 51826310405123117963146986632911752241/294\ 0192889846843265677709570775811678*c_1100_1^6 + 968345709867330225216556955556755925541/764450151360179249076204488\ 40171103628*c_1100_1^5 + 268894304765306433292856006372137118671/38\ 222507568008962453810224420085551814*c_1100_1^4 + 92762355314839228653471561970005658072/1911125378400448122690511221\ 0042775907*c_1100_1^3 + 174825072582077532142586326285429799343/382\ 22507568008962453810224420085551814*c_1100_1^2 + 5104779979878864168134266752229718133/29401928898468432656777095707\ 75811678*c_1100_1 - 1700876136897685811990519471556309314/191112537\ 84004481226905112210042775907, c_0101_1 + 12605597850774361461894757011584866/191112537840044812269051\ 12210042775907*c_1100_1^17 + 176108122172995825904237462977540506/1\ 9111253784004481226905112210042775907*c_1100_1^16 + 31346037370359082965725364048479876/4661281410732800299245149319522\ 62827*c_1100_1^15 + 6028279841312856840777354604437272130/191112537\ 84004481226905112210042775907*c_1100_1^14 + 40731138367186467698184523732629475129/3822250756800896245381022442\ 0085551814*c_1100_1^13 + 104507480189294509792544575320463905239/38\ 222507568008962453810224420085551814*c_1100_1^12 + 107901738654566521732990409613814344666/191112537840044812269051122\ 10042775907*c_1100_1^11 + 184941493313773706860479643487857366824/1\ 9111253784004481226905112210042775907*c_1100_1^10 + 267795902208917916230104879450797052402/191112537840044812269051122\ 10042775907*c_1100_1^9 + 316012369841972519887095758545161344724/19\ 111253784004481226905112210042775907*c_1100_1^8 + 307726547986284204972824306417134656452/191112537840044812269051122\ 10042775907*c_1100_1^7 + 19551380751502727218155812220572635264/147\ 0096444923421632838854785387905839*c_1100_1^6 + 395872790000550135076301097435224286513/382225075680089624538102244\ 20085551814*c_1100_1^5 + 222394804703376311454474850164209083143/38\ 222507568008962453810224420085551814*c_1100_1^4 + 60728386195839677504486476742983286521/1911125378400448122690511221\ 0042775907*c_1100_1^3 + 49223963024199809150191479026310440381/1911\ 1253784004481226905112210042775907*c_1100_1^2 + 7469505841596527206158316822496132121/29401928898468432656777095707\ 75811678*c_1100_1 - 18311152726219314831385778802827635065/38222507\ 568008962453810224420085551814, c_0101_12 + 552177304369280709/388369245649346662763*c_1100_1^17 + 7147923118205446589/388369245649346662763*c_1100_1^16 + 1186415613173641012/9472420625593821043*c_1100_1^15 + 212346409986874593981/388369245649346662763*c_1100_1^14 + 2685004116733391937877/1553476982597386651052*c_1100_1^13 + 6507476518998462390135/1553476982597386651052*c_1100_1^12 + 6455123967543527582471/776738491298693325526*c_1100_1^11 + 5392790523062980376863/388369245649346662763*c_1100_1^10 + 15184137238199964975045/776738491298693325526*c_1100_1^9 + 8823952591285910597106/388369245649346662763*c_1100_1^8 + 8698204056302242237776/388369245649346662763*c_1100_1^7 + 7715030401326691416449/388369245649346662763*c_1100_1^6 + 23877566211154660169071/1553476982597386651052*c_1100_1^5 + 14715601561995221693585/1553476982597386651052*c_1100_1^4 + 4515749272891020770685/776738491298693325526*c_1100_1^3 + 4388433772522817359747/776738491298693325526*c_1100_1^2 + 4339910188276467837901/1553476982597386651052*c_1100_1 + 294337309582251998861/1553476982597386651052, c_0101_2 + 2954354522187600841919317024159652/1470096444923421632838854\ 785387905839*c_1100_1^17 + 32334487614704687663760363730576832/1470\ 096444923421632838854785387905839*c_1100_1^16 + 4672316201118216484780707796281032/35856010851790771532654994765558\ 679*c_1100_1^15 + 706102796961796656115171721879077462/147009644492\ 3421632838854785387905839*c_1100_1^14 + 1881607364772457752863263015582753051/14700964449234216328388547853\ 87905839*c_1100_1^13 + 3730770854600100069611640339706609300/147009\ 6444923421632838854785387905839*c_1100_1^12 + 6171752747951193942099624721254775243/14700964449234216328388547853\ 87905839*c_1100_1^11 + 16194785482476261025530655816191671355/29401\ 92889846843265677709570775811678*c_1100_1^10 + 16381037181148652948204659893803667917/2940192889846843265677709570\ 775811678*c_1100_1^9 + 9784760441111197012090727923480752287/294019\ 2889846843265677709570775811678*c_1100_1^8 + 8460402723209234564652562839337029339/58803857796936865313554191415\ 51623356*c_1100_1^7 - 1253297009506556453533066134358108785/5880385\ 779693686531355419141551623356*c_1100_1^6 - 3278892794012581122735505473580035523/29401928898468432656777095707\ 75811678*c_1100_1^5 - 2954480996127720979270999244815949616/1470096\ 444923421632838854785387905839*c_1100_1^4 + 3148418748055902241220028488614970493/58803857796936865313554191415\ 51623356*c_1100_1^3 + 494315839826538070671623173041786601/58803857\ 79693686531355419141551623356*c_1100_1^2 - 9683207544077711744461408390450453087/58803857796936865313554191415\ 51623356*c_1100_1 - 5478889517213377526848627814449497087/588038577\ 9693686531355419141551623356, c_0101_3 - 17202133281322795390240948846771370/191112537840044812269051\ 12210042775907*c_1100_1^17 - 195476067185453152599476982463950918/1\ 9111253784004481226905112210042775907*c_1100_1^16 - 29673604304345555043842969224472396/4661281410732800299245149319522\ 62827*c_1100_1^15 - 4832305204872794524274829389020770158/191112537\ 84004481226905112210042775907*c_1100_1^14 - 28483688217109345642788454465995741013/3822250756800896245381022442\ 0085551814*c_1100_1^13 - 64843658628993375329285821807603845949/382\ 22507568008962453810224420085551814*c_1100_1^12 - 62576851763199967586136124211062716914/1911125378400448122690511221\ 0042775907*c_1100_1^11 - 100822375630643600728287219365268190661/19\ 111253784004481226905112210042775907*c_1100_1^10 - 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