Magma V2.19-8 Tue Aug 20 2013 17:58:06 on localhost [Seed = 4290661299] Type ? for help. Type -D to quit. Loading file "10^2_117__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_117 geometric_solution 12.72241474 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 1302 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 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 0 4 5 2 0132 0132 0132 1023 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 0 -5 0 5 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 6 0 3 1 0132 0132 3201 1023 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 0 -1 1 0 5 0 0 -5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277235297048 0.513211130306 2 6 0 0 2310 2310 2031 0132 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 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 6 1 7 8 1023 0132 0132 0132 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 0 5 0 -5 -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 8 7 6 1 0132 0132 1023 0132 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 4 -4 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 0.304916333309 1.020169086326 2 4 5 3 0132 1023 1023 3201 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 1 0 -1 -5 0 4 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 0.389473435187 1.081345465747 9 5 10 4 0132 0132 0132 0132 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 -4 4 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 0.222877857499 1.072745071739 5 11 4 12 0132 0132 0132 0132 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 -5 5 0 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222877857499 1.072745071739 7 11 12 12 0132 1023 2103 2031 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 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 11 11 12 7 2031 0321 0132 0132 0 0 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 4 0 -4 1 0 0 -1 -1 1 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373004630828 0.802008192351 9 8 10 10 1023 0132 1302 0321 0 1 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 5 -1 -4 1 0 1 -2 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373004630828 0.802008192351 9 9 8 10 2103 1302 0132 0132 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 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 0.373004630828 0.802008192351 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : d['c_0101_7'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_1'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : d['c_1001_1'], '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' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(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' : 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_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_1100_10'], 'c_1100_7' : d['c_1100_10'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0011_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0101_7'], 'c_1100_8' : d['c_1100_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' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_10'], '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' : negation(d['1']), 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_0'], '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_10']), 'c_0110_10' : d['c_0101_7'], 'c_0110_12' : d['c_0101_10'], '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_6'], 'c_0101_5' : d['c_0101_12'], 'c_0101_4' : d['c_0101_12'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_12'], 'c_0101_8' : d['c_0101_1'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : negation(d['c_0101_0'])})} 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_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0101_6, c_0101_7, c_1001_1, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 7899529760492168552669149703533890032264708223/58868505998452974966\ 8556130424382990187061264048*c_1100_10^17 + 83598151423873059329323426952602541601888568119/5886850599845297496\ 68556130424382990187061264048*c_1100_10^16 - 5783438305522035513867249805659250672475859369/71790860973723140203\ 48245492980280368134893464*c_1100_10^15 + 1630834202254828758883674983538192928001162563815/58868505998452974\ 9668556130424382990187061264048*c_1100_10^14 - 923097823111604281240328916552970595360759230095/138514131761065823\ 451424971864560703573426179776*c_1100_10^13 + 26295886932143165581106911406134411483387460133253/2354740239938118\ 998674224521697531960748245056192*c_1100_10^12 - 1065449940853763951330545971914513802734027739637/73585632498066218\ 708569516303047873773382658006*c_1100_10^11 + 1603893624138730728151466088063294256136447290791/14717126499613243\ 7417139032606095747546765316012*c_1100_10^10 + 341257678595563568835832584600671001397201731971/692570658805329117\ 25712485932280351786713089888*c_1100_10^9 - 40888320990174457601747420194057908287720028914767/1177370119969059\ 499337112260848765980374122528096*c_1100_10^8 + 63827391893300737663100360965620670873000748148663/1177370119969059\ 499337112260848765980374122528096*c_1100_10^7 - 5706149667382147915601134273615664879745803696725/90566932305312269\ 179777866219135844644163271392*c_1100_10^6 + 152806416150531285697462936505147788133869067762037/235474023993811\ 8998674224521697531960748245056192*c_1100_10^5 - 138163380716911953326190028431501016544290938165899/235474023993811\ 8998674224521697531960748245056192*c_1100_10^4 + 30583153383177872749677292427475473937712297360841/1177370119969059\ 499337112260848765980374122528096*c_1100_10^3 - 24918390662537838810834555551307555356916373013945/1177370119969059\ 499337112260848765980374122528096*c_1100_10^2 + 5200260489337500346252446514877162608527183997345/18113386461062453\ 8359555732438271689288326542784*c_1100_10 - 40029932309402686208749901527609537711652188422499/2354740239938118\ 998674224521697531960748245056192, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - c_1100_10, c_0011_3 + 1, c_0101_0 - 17202133281322795390240948846771370/191112537840044812269051\ 12210042775907*c_1100_10^17 + 195476067185453152599476982463950918/\ 19111253784004481226905112210042775907*c_1100_10^16 - 29673604304345555043842969224472396/4661281410732800299245149319522\ 62827*c_1100_10^15 + 4832305204872794524274829389020770158/19111253\ 784004481226905112210042775907*c_1100_10^14 - 28483688217109345642788454465995741013/3822250756800896245381022442\ 0085551814*c_1100_10^13 + 64843658628993375329285821807603845949/38\ 222507568008962453810224420085551814*c_1100_10^12 - 62576851763199967586136124211062716914/1911125378400448122690511221\ 0042775907*c_1100_10^11 + 100822375630643600728287219365268190661/1\ 9111253784004481226905112210042775907*c_1100_10^10 - 139249864253938366199941126098765368626/191112537840044812269051122\ 10042775907*c_1100_10^9 + 159670856802815098911747620068090704126/1\ 9111253784004481226905112210042775907*c_1100_10^8 - 168976354506010533670097589711611986898/191112537840044812269051122\ 10042775907*c_1100_10^7 + 11951445460652187285264995093021838548/14\ 70096444923421632838854785387905839*c_1100_10^6 - 268604755722345838258261776086875186553/382225075680089624538102244\ 20085551814*c_1100_10^5 + 199176019208138967586193220116812417459/3\ 8222507568008962453810224420085551814*c_1100_10^4 - 81136535641476032481176270050599948193/1911125378400448122690511221\ 0042775907*c_1100_10^3 + 49297076950352438799746230234219834705/191\ 11253784004481226905112210042775907*c_1100_10^2 - 3706962572855361273084804494251042281/29401928898468432656777095707\ 75811678*c_1100_10 + 32738653999618694347012589508692640339/3822250\ 7568008962453810224420085551814, c_0101_1 + 33370259260428435041447118020424451/191112537840044812269051\ 12210042775907*c_1100_10^17 - 429888037889488039610304595048376706/\ 19111253784004481226905112210042775907*c_1100_10^16 + 70182541665722469845933469819263515/4661281410732800299245149319522\ 62827*c_1100_10^15 - 12285025985143753402759788666975313933/1911125\ 3784004481226905112210042775907*c_1100_10^14 + 150799135838024725019942903852174725307/764450151360179249076204488\ 40171103628*c_1100_10^13 - 88519623394909552808340696045731885130/1\ 9111253784004481226905112210042775907*c_1100_10^12 + 680099336273629780862964456224915614895/764450151360179249076204488\ 40171103628*c_1100_10^11 - 276243387793910551236568689610200121956/\ 19111253784004481226905112210042775907*c_1100_10^10 + 1493498056108686309257797355566062062493/76445015136017924907620448\ 840171103628*c_1100_10^9 - 413293929112046935935524328409733224772/\ 19111253784004481226905112210042775907*c_1100_10^8 + 388694034667310557796496221312925931639/191112537840044812269051122\ 10042775907*c_1100_10^7 - 51826310405123117963146986632911752241/29\ 40192889846843265677709570775811678*c_1100_10^6 + 968345709867330225216556955556755925541/764450151360179249076204488\ 40171103628*c_1100_10^5 - 268894304765306433292856006372137118671/3\ 8222507568008962453810224420085551814*c_1100_10^4 + 92762355314839228653471561970005658072/1911125378400448122690511221\ 0042775907*c_1100_10^3 - 174825072582077532142586326285429799343/38\ 222507568008962453810224420085551814*c_1100_10^2 + 5104779979878864168134266752229718133/29401928898468432656777095707\ 75811678*c_1100_10 + 1700876136897685811990519471556309314/19111253\ 784004481226905112210042775907, c_0101_10 - 552177304369280709/388369245649346662763*c_1100_10^17 + 7147923118205446589/388369245649346662763*c_1100_10^16 - 1186415613173641012/9472420625593821043*c_1100_10^15 + 212346409986874593981/388369245649346662763*c_1100_10^14 - 2685004116733391937877/1553476982597386651052*c_1100_10^13 + 6507476518998462390135/1553476982597386651052*c_1100_10^12 - 6455123967543527582471/776738491298693325526*c_1100_10^11 + 5392790523062980376863/388369245649346662763*c_1100_10^10 - 15184137238199964975045/776738491298693325526*c_1100_10^9 + 8823952591285910597106/388369245649346662763*c_1100_10^8 - 8698204056302242237776/388369245649346662763*c_1100_10^7 + 7715030401326691416449/388369245649346662763*c_1100_10^6 - 23877566211154660169071/1553476982597386651052*c_1100_10^5 + 14715601561995221693585/1553476982597386651052*c_1100_10^4 - 4515749272891020770685/776738491298693325526*c_1100_10^3 + 4388433772522817359747/776738491298693325526*c_1100_10^2 - 4339910188276467837901/1553476982597386651052*c_1100_10 + 294337309582251998861/1553476982597386651052, c_0101_12 + 12605597850774361461894757011584866/19111253784004481226905\ 112210042775907*c_1100_10^17 - 176108122172995825904237462977540506\ /19111253784004481226905112210042775907*c_1100_10^16 + 31346037370359082965725364048479876/4661281410732800299245149319522\ 62827*c_1100_10^15 - 6028279841312856840777354604437272130/19111253\ 784004481226905112210042775907*c_1100_10^14 + 40731138367186467698184523732629475129/3822250756800896245381022442\ 0085551814*c_1100_10^13 - 104507480189294509792544575320463905239/3\ 8222507568008962453810224420085551814*c_1100_10^12 + 107901738654566521732990409613814344666/191112537840044812269051122\ 10042775907*c_1100_10^11 - 184941493313773706860479643487857366824/\ 19111253784004481226905112210042775907*c_1100_10^10 + 267795902208917916230104879450797052402/191112537840044812269051122\ 10042775907*c_1100_10^9 - 316012369841972519887095758545161344724/1\ 9111253784004481226905112210042775907*c_1100_10^8 + 307726547986284204972824306417134656452/191112537840044812269051122\ 10042775907*c_1100_10^7 - 19551380751502727218155812220572635264/14\ 70096444923421632838854785387905839*c_1100_10^6 + 395872790000550135076301097435224286513/382225075680089624538102244\ 20085551814*c_1100_10^5 - 222394804703376311454474850164209083143/3\ 8222507568008962453810224420085551814*c_1100_10^4 + 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