Magma V2.19-8 Tue Aug 20 2013 23:29:42 on localhost [Seed = 1899435810] Type ? for help. Type -D to quit. Loading file "K12n474__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n474 geometric_solution 7.64480146 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.958521692318 0.909247838198 0 5 5 4 0132 0132 1023 1230 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 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.091221644478 0.978246886642 6 0 8 7 0132 0132 0132 0132 0 0 0 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 0 0 1 0 -1 0 16 -16 0 0 -15 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.140519263778 0.559057276819 6 8 7 0 2103 1230 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 -16 0 16 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138220523237 0.524484098348 1 6 0 7 3012 2310 0132 0321 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 15 1 -16 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 0.688381048035 0.508087512363 6 1 1 8 1023 0132 1023 3201 0 0 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 -15 0 15 0 0 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666841081832 0.811301141275 2 5 3 4 0132 1023 2103 3201 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 0 1 15 0 0 -15 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.425866796444 0.739259623332 8 4 2 3 0132 0321 0132 3012 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 16 0 -16 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 -0.685738750174 0.978825154716 7 5 3 2 0132 2310 3012 0132 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 -1 1 0 15 0 -15 -1 -15 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420021641223 0.657730514497 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_8' : negation(d['c_0011_3']), 's_2_8' : d['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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_0_8' : 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_8' : negation(d['c_1001_3']), 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_7']), 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : negation(d['c_1001_3']), 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_8' : negation(d['c_0110_5']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_7']), '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_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_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0101_8' : d['c_0101_8'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : d['c_0101_8'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_7, c_0101_1, c_0101_2, c_0101_8, c_0110_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 614074912383303342324438273/1368027388716714182661820*c_1001_3^13 + 465011214379636748606854741/1368027388716714182661820*c_1001_3^12 + 67450688771288782666748045/68401369435835709133091*c_1001_3^11 + 1021144848865628873463259423/124366126246974016605620*c_1001_3^10 + 12170849296950480406085622377/1368027388716714182661820*c_1001_3^9 + 42483888562947435187654196617/1368027388716714182661820*c_1001_3^8 + 834019431254316427171358357/62183063123487008302810*c_1001_3^7 - 1259161735881132041494507799/97716242051193870190130*c_1001_3^6 + 2430505568828949269795366727/684013694358357091330910*c_1001_3^5 + 12734859556997467737569412123/684013694358357091330910*c_1001_3^4 + 3402154925120027113145346089/1368027388716714182661820*c_1001_3^3 - 2998684876708748489788460413/684013694358357091330910*c_1001_3^2 + 192463984341801363910924311/273605477743342836532364*c_1001_3 + 58849753255520997832060807/62183063123487008302810, c_0011_0 - 1, c_0011_3 - 229304996251909883541/261273374468432807995*c_1001_3^13 + 175766648162630502959/522546748936865615990*c_1001_3^12 - 190637177068542066643/104509349787373123198*c_1001_3^11 - 3665165161031281181546/261273374468432807995*c_1001_3^10 - 46159944188757719215/104509349787373123198*c_1001_3^9 - 27241480604272737195467/522546748936865615990*c_1001_3^8 + 18623464323569969019659/522546748936865615990*c_1001_3^7 + 3532130784747168944789/261273374468432807995*c_1001_3^6 - 1774356309998822804346/52254674893686561599*c_1001_3^5 - 2548281161562720663866/261273374468432807995*c_1001_3^4 + 6748370998495898090383/261273374468432807995*c_1001_3^3 - 2679295710419620846511/522546748936865615990*c_1001_3^2 - 1470630311238307802898/261273374468432807995*c_1001_3 + 1568380602256512467201/522546748936865615990, c_0011_4 + 200337621414573486357/261273374468432807995*c_1001_3^13 - 80576479821377733299/261273374468432807995*c_1001_3^12 + 79251809400498751261/52254674893686561599*c_1001_3^11 + 3185514788053851116847/261273374468432807995*c_1001_3^10 - 252294128656498679/52254674893686561599*c_1001_3^9 + 11535574368727443556777/261273374468432807995*c_1001_3^8 - 8642254891456013417394/261273374468432807995*c_1001_3^7 - 4231555691413111950398/261273374468432807995*c_1001_3^6 + 1593483260093231668048/52254674893686561599*c_1001_3^5 + 3186443406941455893307/261273374468432807995*c_1001_3^4 - 5205306202652462829386/261273374468432807995*c_1001_3^3 + 589194453364334861626/261273374468432807995*c_1001_3^2 + 1327130469933528550011/261273374468432807995*c_1001_3 - 487947428463657356516/261273374468432807995, c_0011_7 - 190654167608057906154/261273374468432807995*c_1001_3^13 + 32740395378311581669/261273374468432807995*c_1001_3^12 - 75175473885531567356/52254674893686561599*c_1001_3^11 - 3120311173341877394119/261273374468432807995*c_1001_3^10 - 729837368407258197354/261273374468432807995*c_1001_3^9 - 11246567501794029683402/261273374468432807995*c_1001_3^8 + 5564448001285198211283/261273374468432807995*c_1001_3^7 + 4954373371190843319839/261273374468432807995*c_1001_3^6 - 6256534805237659287938/261273374468432807995*c_1001_3^5 - 794018881801117135275/52254674893686561599*c_1001_3^4 + 4676735547434492101581/261273374468432807995*c_1001_3^3 + 626796658372426752143/261273374468432807995*c_1001_3^2 - 1192234730427107879064/261273374468432807995*c_1001_3 + 220148215865824177351/261273374468432807995, c_0101_1 - 578000200607174139921/522546748936865615990*c_1001_3^13 + 208881432581490197247/522546748936865615990*c_1001_3^12 - 117668500895751063907/52254674893686561599*c_1001_3^11 - 9241394486792306497421/522546748936865615990*c_1001_3^10 - 90691218652986187693/104509349787373123198*c_1001_3^9 - 33989834586898761448491/522546748936865615990*c_1001_3^8 + 11615140988417033941076/261273374468432807995*c_1001_3^7 + 5355441966550277850532/261273374468432807995*c_1001_3^6 - 2160326915417716257097/52254674893686561599*c_1001_3^5 - 4173158263848444901453/261273374468432807995*c_1001_3^4 + 14744131122944708886023/522546748936865615990*c_1001_3^3 - 1243161086736058790274/261273374468432807995*c_1001_3^2 - 3201880067454307350923/522546748936865615990*c_1001_3 + 819264299605168719879/261273374468432807995, c_0101_2 - 78732634362098524191/261273374468432807995*c_1001_3^13 - 43856584185808410672/261273374468432807995*c_1001_3^12 - 34575143959357978938/52254674893686561599*c_1001_3^11 - 1412201354423574313006/261273374468432807995*c_1001_3^10 - 1285370755531935279914/261273374468432807995*c_1001_3^9 - 5340774481735502563814/261273374468432807995*c_1001_3^8 - 1425981843245431912513/261273374468432807995*c_1001_3^7 + 2154435353127269911127/261273374468432807995*c_1001_3^6 - 1094660986420261783703/261273374468432807995*c_1001_3^5 - 1926497490994115907667/261273374468432807995*c_1001_3^4 + 272778086934559138852/261273374468432807995*c_1001_3^3 + 290289543552611033387/261273374468432807995*c_1001_3^2 - 27284012424545280966/52254674893686561599*c_1001_3 + 104087977402135266022/261273374468432807995, c_0101_8 + 151917317043883485759/261273374468432807995*c_1001_3^13 + 6842121134619421367/522546748936865615990*c_1001_3^12 + 121976580679535814469/104509349787373123198*c_1001_3^11 + 2530740515547523898519/261273374468432807995*c_1001_3^10 + 2158095126898863592863/522546748936865615990*c_1001_3^9 + 18435924753592006292169/522546748936865615990*c_1001_3^8 - 5713009989700184787071/522546748936865615990*c_1001_3^7 - 4374023365342246403294/261273374468432807995*c_1001_3^6 + 3102091097308083824518/261273374468432807995*c_1001_3^5 + 770387042276840404027/52254674893686561599*c_1001_3^4 - 2352762866681954692231/261273374468432807995*c_1001_3^3 - 899673123332984316451/522546748936865615990*c_1001_3^2 + 514071504528573190674/261273374468432807995*c_1001_3 - 249934840436151360917/522546748936865615990, c_0110_5 + 49732231132480059279/261273374468432807995*c_1001_3^13 - 154767153119329712389/522546748936865615990*c_1001_3^12 + 25453082783066249785/104509349787373123198*c_1001_3^11 + 677566399156593356234/261273374468432807995*c_1001_3^10 - 2062477949543776601313/522546748936865615990*c_1001_3^9 + 3805476746255959218067/522546748936865615990*c_1001_3^8 - 11672023285940014953631/522546748936865615990*c_1001_3^7 - 2122064119541917609633/261273374468432807995*c_1001_3^6 + 4343207159576744561752/261273374468432807995*c_1001_3^5 + 20932965931861493453/261273374468432807995*c_1001_3^4 - 3485563437364350809563/261273374468432807995*c_1001_3^3 + 1025506350319316897199/522546748936865615990*c_1001_3^2 + 176472051070978997744/52254674893686561599*c_1001_3 - 621534980181370737161/522546748936865615990, c_1001_3^14 + 2/9*c_1001_3^13 + 16/9*c_1001_3^12 + 154/9*c_1001_3^11 + 10*c_1001_3^10 + 175/3*c_1001_3^9 - 22/3*c_1001_3^8 - 137/3*c_1001_3^7 + 208/9*c_1001_3^6 + 112/3*c_1001_3^5 - 17*c_1001_3^4 - 119/9*c_1001_3^3 + 62/9*c_1001_3^2 + 11/9*c_1001_3 - 11/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB