Magma V2.19-8 Tue Aug 20 2013 23:44:49 on localhost [Seed = 2260788003] Type ? for help. Type -D to quit. Loading file "K13n2067__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2067 geometric_solution 10.19902710 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 2 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 1 0 -1 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 0.461613151043 0.418454401357 0 4 6 5 0132 0132 0132 0132 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 0 0 0 -1 0 4 -3 0 0 0 0 1 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.716158359070 0.536052408709 0 0 8 7 3012 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 1 0 0 -1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.157909617095 0.899970674591 4 7 5 0 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.994777422965 0.912551051175 6 1 3 9 0321 0132 3201 0132 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 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538978917882 0.273211300888 9 3 1 6 1302 3201 0132 3201 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735268344767 0.479795368428 4 5 9 1 0321 2310 1302 0132 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 0 0 0 0 0 4 -4 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363114827573 0.961581100732 10 3 2 11 0132 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 0 -1 1 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696056203602 0.670933424310 10 10 11 2 2103 1302 2103 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 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 0.667942924387 1.152776233997 6 5 4 11 2031 2031 0132 2031 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356184701790 0.356380202249 7 11 8 8 0132 1302 2103 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0.667942924387 1.152776233997 8 9 7 10 2103 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1.415538533875 0.328008849525 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_9'], 'c_1001_10' : d['c_0011_8'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0110_9'], 'c_1001_1' : negation(d['c_0110_5']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_9'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0110_5']), 'c_1001_8' : d['c_0011_11'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0011_8'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_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' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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_1100_8' : negation(d['c_0011_8']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0011_8']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : negation(d['c_0011_8']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_11' : negation(d['c_0011_8']), 'c_1100_10' : negation(d['c_0101_2']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_9'], 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : negation(d['c_0110_9']), 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0101_2'], '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'], '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_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_8'], 'c_0110_10' : d['c_0011_11'], 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : negation(d['c_0011_9']), 'c_0101_4' : d['c_0011_9'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : negation(d['c_0011_9']), 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : negation(d['c_0011_9']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0011_9']), 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_8, c_0011_9, c_0101_10, c_0101_2, c_0101_3, c_0110_5, c_0110_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 56669706821955543301/639051016571063984648*c_1001_0^11 + 330225579987325041175/639051016571063984648*c_1001_0^10 - 1949320374091280784/4698904533610764593*c_1001_0^9 - 2260914113939510532069/639051016571063984648*c_1001_0^8 + 2731956696878771334295/639051016571063984648*c_1001_0^7 + 9509049309520903091417/639051016571063984648*c_1001_0^6 - 11543040510386682636195/639051016571063984648*c_1001_0^5 - 11771994804237373283/494621529853764694*c_1001_0^4 + 3146662642247078875161/79881377071382998081*c_1001_0^3 + 5570625914699599846271/639051016571063984648*c_1001_0^2 - 1211856096338584305119/16817132015027999596*c_1001_0 + 52607526341997091727/159762754142765996162, c_0011_0 - 1, c_0011_10 - 2174026836381/543838955309252*c_1001_0^11 + 10997460151363/543838955309252*c_1001_0^10 - 1557108765373/271919477654626*c_1001_0^9 - 82927060426295/543838955309252*c_1001_0^8 + 39219080048003/543838955309252*c_1001_0^7 + 358386836526609/543838955309252*c_1001_0^6 - 177460681829971/543838955309252*c_1001_0^5 - 145135426709057/135959738827313*c_1001_0^4 + 137879026955602/135959738827313*c_1001_0^3 + 318818316763185/543838955309252*c_1001_0^2 - 366626280651730/135959738827313*c_1001_0 - 111153156482972/135959738827313, c_0011_11 - 10168892125447/543838955309252*c_1001_0^11 + 54553592655037/543838955309252*c_1001_0^10 - 5334344254609/135959738827313*c_1001_0^9 - 421868029469421/543838955309252*c_1001_0^8 + 295805324470465/543838955309252*c_1001_0^7 + 1913539899404083/543838955309252*c_1001_0^6 - 1273661755113965/543838955309252*c_1001_0^5 - 911440100938987/135959738827313*c_1001_0^4 + 800578703919115/135959738827313*c_1001_0^3 + 3190977992371329/543838955309252*c_1001_0^2 - 2004529937213554/135959738827313*c_1001_0 - 866438564473480/135959738827313, c_0011_6 + 9665213439/620112833876*c_1001_0^11 - 52635613097/620112833876*c_1001_0^10 + 12597589541/310056416938*c_1001_0^9 + 396034434173/620112833876*c_1001_0^8 - 321309165267/620112833876*c_1001_0^7 - 1723452706161/620112833876*c_1001_0^6 + 1272720698135/620112833876*c_1001_0^5 + 1587476343845/310056416938*c_1001_0^4 - 1559529928717/310056416938*c_1001_0^3 - 2397136199937/620112833876*c_1001_0^2 + 3554034124651/310056416938*c_1001_0 + 856013952272/155028208469, c_0011_8 - 3022166530653/543838955309252*c_1001_0^11 + 15387436173891/543838955309252*c_1001_0^10 - 188361086303/135959738827313*c_1001_0^9 - 137522753336943/543838955309252*c_1001_0^8 + 82389633277041/543838955309252*c_1001_0^7 + 604663708504255/543838955309252*c_1001_0^6 - 382750732010693/543838955309252*c_1001_0^5 - 574537219955615/271919477654626*c_1001_0^4 + 578033424557247/271919477654626*c_1001_0^3 + 997499767950773/543838955309252*c_1001_0^2 - 1246278099851551/271919477654626*c_1001_0 - 327088209329609/135959738827313, c_0011_9 - 21629646027/620112833876*c_1001_0^11 + 115806485415/620112833876*c_1001_0^10 - 10559425997/155028208469*c_1001_0^9 - 914194871961/620112833876*c_1001_0^8 + 673488180349/620112833876*c_1001_0^7 + 4038777066703/620112833876*c_1001_0^6 - 2821872897141/620112833876*c_1001_0^5 - 1885526728148/155028208469*c_1001_0^4 + 3618986173441/310056416938*c_1001_0^3 + 5718486183733/620112833876*c_1001_0^2 - 4113961009697/155028208469*c_1001_0 - 1715851703007/155028208469, c_0101_10 - 15465506138089/543838955309252*c_1001_0^11 + 83569551352669/543838955309252*c_1001_0^10 - 8104002371260/135959738827313*c_1001_0^9 - 655844919646259/543838955309252*c_1001_0^8 + 483057607372335/543838955309252*c_1001_0^7 + 2981028818568553/543838955309252*c_1001_0^6 - 2072056819801563/543838955309252*c_1001_0^5 - 1436534628061886/135959738827313*c_1001_0^4 + 2553509055992727/271919477654626*c_1001_0^3 + 4787483843446463/543838955309252*c_1001_0^2 - 3064264448480854/135959738827313*c_1001_0 - 1318234644882807/135959738827313, c_0101_2 - 2463670422851/271919477654626*c_1001_0^11 + 13667477752467/271919477654626*c_1001_0^10 - 7270086903021/271919477654626*c_1001_0^9 - 51182782336025/135959738827313*c_1001_0^8 + 89437095775909/271919477654626*c_1001_0^7 + 460530774232755/271919477654626*c_1001_0^6 - 389188626804711/271919477654626*c_1001_0^5 - 428137264112505/135959738827313*c_1001_0^4 + 480186178123578/135959738827313*c_1001_0^3 + 324687759855318/135959738827313*c_1001_0^2 - 1991929913693539/271919477654626*c_1001_0 - 351092469690811/135959738827313, c_0101_3 + 5430628393750/135959738827313*c_1001_0^11 - 58949891531263/271919477654626*c_1001_0^10 + 12117105668193/135959738827313*c_1001_0^9 + 461776485813801/271919477654626*c_1001_0^8 - 182576061417472/135959738827313*c_1001_0^7 - 1026170549859358/135959738827313*c_1001_0^6 + 768924775643027/135959738827313*c_1001_0^5 + 1936608777989244/135959738827313*c_1001_0^4 - 3858465176443709/271919477654626*c_1001_0^3 - 1498761276447982/135959738827313*c_1001_0^2 + 8746484441053243/271919477654626*c_1001_0 + 1880700995572291/135959738827313, c_0110_5 + 1819530308505/271919477654626*c_1001_0^11 - 4964427169014/135959738827313*c_1001_0^10 + 4445902507489/271919477654626*c_1001_0^9 + 37937099323107/135959738827313*c_1001_0^8 - 29522710485671/135959738827313*c_1001_0^7 - 168981369921861/135959738827313*c_1001_0^6 + 109786091315025/135959738827313*c_1001_0^5 + 675717915688445/271919477654626*c_1001_0^4 - 269476348595401/135959738827313*c_1001_0^3 - 605162421296543/271919477654626*c_1001_0^2 + 603011128056263/135959738827313*c_1001_0 + 381414590276819/135959738827313, c_0110_9 - 2753314009321/543838955309252*c_1001_0^11 + 16337495353571/543838955309252*c_1001_0^10 - 2856489068824/135959738827313*c_1001_0^9 - 121804068917805/543838955309252*c_1001_0^8 + 139655111503815/543838955309252*c_1001_0^7 + 562674711938901/543838955309252*c_1001_0^6 - 600916571779451/543838955309252*c_1001_0^5 - 283001837403448/135959738827313*c_1001_0^4 + 342307151167976/135959738827313*c_1001_0^3 + 979932722658087/543838955309252*c_1001_0^2 - 1530596830044705/271919477654626*c_1001_0 - 239939313207839/135959738827313, c_1001_0^12 - 5*c_1001_0^11 + 43*c_1001_0^9 - 15*c_1001_0^8 - 201*c_1001_0^7 + 59*c_1001_0^6 + 408*c_1001_0^5 - 194*c_1001_0^4 - 415*c_1001_0^3 + 660*c_1001_0^2 + 644*c_1001_0 + 136 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.320 Total time: 2.529 seconds, Total memory usage: 32.09MB