Magma V2.19-8 Tue Aug 20 2013 23:55:16 on localhost [Seed = 3886124977] Type ? for help. Type -D to quit. Loading file "K12n608__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n608 geometric_solution 12.43041883 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 -1 0 1 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 0.604658031990 0.572163092132 0 5 6 5 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719811705511 0.821328150988 3 0 8 7 0321 0132 0132 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 -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 0.561001220556 0.300446168431 2 9 10 0 0321 0132 0132 0132 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 0 0 0 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 0.184179527887 0.916115704932 8 6 0 11 0213 3201 0132 0132 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 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 0.827377813819 0.832014934793 1 1 12 11 3012 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372053806958 1.090617528807 8 12 4 1 1230 1230 2310 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 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 0.687585297075 0.724559499386 11 10 2 12 3201 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.250616258988 0.673478473740 4 6 9 2 0213 3012 0132 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 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 0.515810883090 0.991212795637 11 3 10 8 0321 0132 3201 0132 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708403506721 1.059060242498 9 12 7 3 2310 0132 2310 0132 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 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 0.689788005407 1.516097832874 9 5 4 7 0321 0321 0132 2310 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 -1 1 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 0.489589494328 0.773399849178 7 10 6 5 3201 0132 3012 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 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 0.192120154292 0.901882865892 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_5'], 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : negation(d['c_1001_11']), 'c_1001_1' : d['c_0101_12'], 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0101_6']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_12' : d['c_0101_5'], 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : negation(d['c_0011_6']), 's_3_11' : 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_11'], '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_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1001_11'], 'c_1100_4' : d['c_0011_7'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : negation(d['c_0011_10']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : d['c_0011_7'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_12'], 'c_1010_5' : d['c_0101_12'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0101_6']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0101_6']), 'c_1100_8' : negation(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_1001_11'], '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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_3'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_8'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0011_8'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : negation(d['c_0011_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0011_8'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0101_12']), 'c_0110_6' : d['c_0011_8']})} 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_6, c_0011_7, c_0011_8, c_0101_10, c_0101_11, c_0101_12, c_0101_5, c_0101_6, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 8529772249129296919352638/46702058553184733487508401*c_1001_11^14 - 10885108867762941111947122/46702058553184733487508401*c_1001_11^13 - 14752342702748427329461298/15567352851061577829169467*c_1001_11^12 - 567113544874220835240784796/46702058553184733487508401*c_1001_11^11 - 95634368149308310247394431/46702058553184733487508401*c_1001_11^1\ 0 - 1505122602009030667923095257/46702058553184733487508401*c_1001_\ 11^9 + 98430511484070244664465807/4245641686653157589773491*c_1001_\ 11^8 + 117807076499581348611909251/4245641686653157589773491*c_1001\ _11^7 - 3012820094092011094679926322/46702058553184733487508401*c_1\ 001_11^6 - 395072666933394664865913520/15567352851061577829169467*c\ _1001_11^5 + 1948149728604231755808654056/4670205855318473348750840\ 1*c_1001_11^4 - 401092475399604179694646571/46702058553184733487508\ 401*c_1001_11^3 - 3030865383712495061279090090/46702058553184733487\ 508401*c_1001_11^2 + 222297584701683099406742543/518911761702052594\ 3056489*c_1001_11 - 1047994468049437717537531733/467020585531847334\ 87508401, c_0011_0 - 1, c_0011_10 - 6921489608469365/276118661873864359*c_1001_11^14 + 2476972385489808/276118661873864359*c_1001_11^13 - 83222819846947059/276118661873864359*c_1001_11^12 - 222689847420177745/276118661873864359*c_1001_11^11 - 398014534527810261/276118661873864359*c_1001_11^10 - 665312184573893795/276118661873864359*c_1001_11^9 + 17681506014321755/25101696533987669*c_1001_11^8 + 54891693061240170/25101696533987669*c_1001_11^7 - 483237564250243250/276118661873864359*c_1001_11^6 - 1112810692509279526/276118661873864359*c_1001_11^5 - 446931996016812534/276118661873864359*c_1001_11^4 + 164266297756216239/276118661873864359*c_1001_11^3 - 179759950387998692/276118661873864359*c_1001_11^2 - 284288195480896353/276118661873864359*c_1001_11 - 271280506312578253/276118661873864359, c_0011_11 - 5139368722042481/276118661873864359*c_1001_11^14 + 111450880279721/276118661873864359*c_1001_11^13 - 52353047324112922/276118661873864359*c_1001_11^12 - 197908989364627438/276118661873864359*c_1001_11^11 - 234897325378594893/276118661873864359*c_1001_11^10 - 429965302794988930/276118661873864359*c_1001_11^9 + 29876378785095483/25101696533987669*c_1001_11^8 + 75822824407297286/25101696533987669*c_1001_11^7 - 845695086883861515/276118661873864359*c_1001_11^6 - 1562659985302696898/276118661873864359*c_1001_11^5 + 664334371502579554/276118661873864359*c_1001_11^4 + 721929247250833408/276118661873864359*c_1001_11^3 - 671587469429150476/276118661873864359*c_1001_11^2 - 347968224930508209/276118661873864359*c_1001_11 + 332331916432978211/276118661873864359, c_0011_3 + 2600327629242/25101696533987669*c_1001_11^14 - 1969750925073403/25101696533987669*c_1001_11^13 + 3728863896662853/25101696533987669*c_1001_11^12 - 29011933353883300/25101696533987669*c_1001_11^11 - 18426320617258179/25101696533987669*c_1001_11^10 - 84314129877310065/25101696533987669*c_1001_11^9 - 43117914230649535/25101696533987669*c_1001_11^8 + 124401386057968322/25101696533987669*c_1001_11^7 + 28888836212949779/25101696533987669*c_1001_11^6 - 194357685747349384/25101696533987669*c_1001_11^5 - 75760074302362222/25101696533987669*c_1001_11^4 + 75574715902611373/25101696533987669*c_1001_11^3 - 65323063267849646/25101696533987669*c_1001_11^2 - 40529824238934604/25101696533987669*c_1001_11 - 19102601078022669/25101696533987669, c_0011_6 - 4514309085296715/276118661873864359*c_1001_11^14 + 16110009662664208/276118661873864359*c_1001_11^13 - 77150580579509918/276118661873864359*c_1001_11^12 + 62781226562791511/276118661873864359*c_1001_11^11 - 60347997622032506/276118661873864359*c_1001_11^10 + 254935244797984061/276118661873864359*c_1001_11^9 + 62159272378763234/25101696533987669*c_1001_11^8 - 32045433089193278/25101696533987669*c_1001_11^7 - 582292740927492501/276118661873864359*c_1001_11^6 + 396524334815842742/276118661873864359*c_1001_11^5 + 782376605768546740/276118661873864359*c_1001_11^4 - 565116912742235918/276118661873864359*c_1001_11^3 + 347175673626593312/276118661873864359*c_1001_11^2 + 463933284947826839/276118661873864359*c_1001_11 + 80235397284030953/276118661873864359, c_0011_7 - 2812256084039583/276118661873864359*c_1001_11^14 + 16871930055011991/276118661873864359*c_1001_11^13 - 73749099868071745/276118661873864359*c_1001_11^12 + 163652653572869728/276118661873864359*c_1001_11^11 - 168357655449447788/276118661873864359*c_1001_11^10 + 336437366330636179/276118661873864359*c_1001_11^9 - 7636905903392502/25101696533987669*c_1001_11^8 - 89711251262205400/25101696533987669*c_1001_11^7 + 49384455450908080/276118661873864359*c_1001_11^6 + 1109774931765977173/276118661873864359*c_1001_11^5 - 131331951304612765/276118661873864359*c_1001_11^4 - 1112306451453641863/276118661873864359*c_1001_11^3 + 248694093734380302/276118661873864359*c_1001_11^2 - 83481239088742650/276118661873864359*c_1001_11 - 159551818163052055/276118661873864359, c_0011_8 + 3892801744578226/276118661873864359*c_1001_11^14 - 30509953530639574/276118661873864359*c_1001_11^13 + 107359485230407466/276118661873864359*c_1001_11^12 - 315017219264975218/276118661873864359*c_1001_11^11 + 29986334712587766/276118661873864359*c_1001_11^10 - 795041889594190292/276118661873864359*c_1001_11^9 - 50486265350177621/25101696533987669*c_1001_11^8 + 155365139432143962/25101696533987669*c_1001_11^7 + 68500444136354584/276118661873864359*c_1001_11^6 - 2285914407294293192/276118661873864359*c_1001_11^5 - 406527213227493532/276118661873864359*c_1001_11^4 + 1482883346133531075/276118661873864359*c_1001_11^3 - 1228265481753427654/276118661873864359*c_1001_11^2 - 393689863473806562/276118661873864359*c_1001_11 + 214025044735996658/276118661873864359, c_0101_10 - 11439072774317/302430078722743*c_1001_11^14 + 15554531471990/302430078722743*c_1001_11^13 - 148077593141674/302430078722743*c_1001_11^12 - 214753407118251/302430078722743*c_1001_11^11 - 398414693212061/302430078722743*c_1001_11^10 - 431146029713447/302430078722743*c_1001_11^9 + 1056670683699935/302430078722743*c_1001_11^8 + 663423452256868/302430078722743*c_1001_11^7 - 1516664535859480/302430078722743*c_1001_11^6 - 1267630590273194/302430078722743*c_1001_11^5 + 1315213993795433/302430078722743*c_1001_11^4 + 393042834182256/302430078722743*c_1001_11^3 - 933367076881341/302430078722743*c_1001_11^2 + 78971168251602/302430078722743*c_1001_11 + 263240811116497/302430078722743, c_0101_11 + 922133388497501/276118661873864359*c_1001_11^14 - 6398237046166546/276118661873864359*c_1001_11^13 + 32123088014074463/276118661873864359*c_1001_11^12 - 81836400118396867/276118661873864359*c_1001_11^11 + 149286798284956072/276118661873864359*c_1001_11^10 - 145157556343877056/276118661873864359*c_1001_11^9 + 25890484077385070/25101696533987669*c_1001_11^8 + 33555296079995434/25101696533987669*c_1001_11^7 - 354961904032058094/276118661873864359*c_1001_11^6 - 302046846002921053/276118661873864359*c_1001_11^5 + 565862785203097270/276118661873864359*c_1001_11^4 + 317120390525378740/276118661873864359*c_1001_11^3 - 505582539235543695/276118661873864359*c_1001_11^2 + 288009266058535959/276118661873864359*c_1001_11 + 178045454073137476/276118661873864359, c_0101_12 + 7686099628065234/276118661873864359*c_1001_11^14 - 15528720267585128/276118661873864359*c_1001_11^13 + 106345918292346782/276118661873864359*c_1001_11^12 + 72420471633475758/276118661873864359*c_1001_11^11 + 185456048473636415/276118661873864359*c_1001_11^10 + 13663766622301570/276118661873864359*c_1001_11^9 - 83600449614637361/25101696533987669*c_1001_11^8 - 25000878134598752/25101696533987669*c_1001_11^7 + 1359755285074053009/276118661873864359*c_1001_11^6 + 579129405937346621/276118661873864359*c_1001_11^5 - 1259980769990986231/276118661873864359*c_1001_11^4 + 41713844240071582/276118661873864359*c_1001_11^3 + 247012119355470281/276118661873864359*c_1001_11^2 - 130583163804789018/276118661873864359*c_1001_11 - 211671502784178365/276118661873864359, c_0101_5 + 3633258053723550/276118661873864359*c_1001_11^14 - 11078814173617449/276118661873864359*c_1001_11^13 + 64490763749751364/276118661873864359*c_1001_11^12 - 32359277870272656/276118661873864359*c_1001_11^11 + 153495471539902700/276118661873864359*c_1001_11^10 - 52462322189084453/276118661873864359*c_1001_11^9 - 18981030235941056/25101696533987669*c_1001_11^8 + 31600442128443124/25101696533987669*c_1001_11^7 + 140788515890643539/276118661873864359*c_1001_11^6 - 407700640774832622/276118661873864359*c_1001_11^5 - 305281890899839705/276118661873864359*c_1001_11^4 + 660949254013715251/276118661873864359*c_1001_11^3 - 116920462806993895/276118661873864359*c_1001_11^2 - 28158948426587867/276118661873864359*c_1001_11 - 50162466718995909/276118661873864359, c_0101_6 + 884885972046268/25101696533987669*c_1001_11^14 - 1758991130954709/25101696533987669*c_1001_11^13 + 14270174519547164/25101696533987669*c_1001_11^12 + 5367017622482547/25101696533987669*c_1001_11^11 + 51488380907023459/25101696533987669*c_1001_11^10 + 29897710749387056/25101696533987669*c_1001_11^9 - 10044600110929253/25101696533987669*c_1001_11^8 + 34819558200965230/25101696533987669*c_1001_11^7 + 39441191709030470/25101696533987669*c_1001_11^6 + 275978249391123/25101696533987669*c_1001_11^5 + 52569449756493209/25101696533987669*c_1001_11^4 + 86185468517947784/25101696533987669*c_1001_11^3 - 6266740304216510/25101696533987669*c_1001_11^2 + 33433584960876273/25101696533987669*c_1001_11 + 39166574952330028/25101696533987669, c_1001_11^15 - 2*c_1001_11^14 + 15*c_1001_11^13 + 8*c_1001_11^12 + 41*c_1001_11^11 + 22*c_1001_11^10 - 64*c_1001_11^9 + 11*c_1001_11^8 + 104*c_1001_11^7 + 12*c_1001_11^6 - 59*c_1001_11^5 + 68*c_1001_11^4 + 32*c_1001_11^3 - 9*c_1001_11^2 + 8*c_1001_11 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.470 Total time: 3.669 seconds, Total memory usage: 64.12MB