Magma V2.19-8 Tue Aug 20 2013 23:56:26 on localhost [Seed = 3431638236] Type ? for help. Type -D to quit. Loading file "L14n21718__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n21718 geometric_solution 10.47493503 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 1 0 -1 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 2 -1 -1 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 0.334898086646 1.195996047952 0 3 6 5 0132 3120 0132 0132 1 1 0 1 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 2 -2 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688227995274 0.687214776639 6 0 8 7 0132 0132 0132 0132 1 1 0 1 0 -1 1 0 -1 0 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 -2 2 0 -2 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 0.451580979263 0.749158948967 8 1 9 0 2031 3120 0132 0132 1 1 0 1 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 -1 0 1 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 -0.279647913434 0.366050099610 8 7 0 5 0132 2031 0132 2031 1 1 0 1 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 -1 1 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 0.603237570418 1.100508216754 10 4 1 11 0132 1302 0132 0132 1 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 0 0 0 0 0 0 0 0 -2 0 2 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 -0.024605616287 0.733504150566 2 7 10 1 0132 2103 3012 0132 1 1 1 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 2 0 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 0.656210204294 0.722718680870 4 6 2 9 1302 2103 0132 0321 1 1 1 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 -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 -0.186653404101 2.739074822592 4 10 3 2 0132 1302 1302 0132 1 1 1 0 0 1 0 -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 2 0 -2 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 0.602466067153 0.892425236230 11 7 11 3 0321 0321 3012 0132 1 1 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.507799057739 0.789135320840 5 6 11 8 0132 1230 1230 2031 1 1 0 1 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 2 0 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 0.570536272743 0.419519537647 9 9 5 10 0321 1230 0132 3012 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 0.409084797022 1.642681049584 ==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_1001_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_9'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_0011_9'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0101_0'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0011_4']), '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_1100_9' : negation(d['c_1001_11']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_10']), 'c_1100_4' : negation(d['c_1001_11']), 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : negation(d['c_1001_10']), 'c_1100_0' : negation(d['c_1001_11']), 'c_1100_3' : negation(d['c_1001_11']), 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : negation(d['c_0011_9']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_9'], 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : d['c_0011_9'], 'c_1100_8' : negation(d['c_0011_11']), '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' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), '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_9']), 'c_0110_10' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : negation(d['c_0011_3']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_1'], '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_0011_4']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : d['c_0101_1']})} 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_3, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_1001_1, c_1001_10, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 6413802510596812576794569/284511899039781806438144*c_1001_11^10 + 15106139232258737379180885/284511899039781806438144*c_1001_11^9 - 12563212325738218523323/190181750695041314464*c_1001_11^8 + 24581565611168772939225941/284511899039781806438144*c_1001_11^7 - 58316958525117652832076393/284511899039781806438144*c_1001_11^6 + 166147347166652831968871237/284511899039781806438144*c_1001_11^5 - 303255073325921950647655557/284511899039781806438144*c_1001_11^4 + 395794418195053710550321343/284511899039781806438144*c_1001_11^3 - 185848005889281612838148001/142255949519890903219072*c_1001_11^2 + 108630792664933456959196253/142255949519890903219072*c_1001_11 - 71114737207571059871758215/284511899039781806438144, c_0011_0 - 1, c_0011_10 + 620608085285447/1050136114979632*c_1001_11^10 - 759728377188851/525068057489816*c_1001_11^9 + 234461652926761/131267014372454*c_1001_11^8 - 2521630105923887/1050136114979632*c_1001_11^7 + 2798295450182001/525068057489816*c_1001_11^6 - 16394085087709011/1050136114979632*c_1001_11^5 + 15347016739574023/525068057489816*c_1001_11^4 - 39817398487926357/1050136114979632*c_1001_11^3 + 37051190757394287/1050136114979632*c_1001_11^2 - 21366349083198171/1050136114979632*c_1001_11 + 3217862525492713/525068057489816, c_0011_11 - 202492345862211/2100272229959264*c_1001_11^10 + 539530596970807/2100272229959264*c_1001_11^9 - 82889993053073/262534028744908*c_1001_11^8 + 945637470850171/2100272229959264*c_1001_11^7 - 2199433469292347/2100272229959264*c_1001_11^6 + 5671460725669499/2100272229959264*c_1001_11^5 - 11051909651015819/2100272229959264*c_1001_11^4 + 14769380648654353/2100272229959264*c_1001_11^3 - 7832882752172627/1050136114979632*c_1001_11^2 + 5641800685080045/1050136114979632*c_1001_11 - 5315361105101745/2100272229959264, c_0011_3 + 4629635185049419/2100272229959264*c_1001_11^10 - 11372985698150571/2100272229959264*c_1001_11^9 + 427459007580181/65633507186227*c_1001_11^8 - 17502828898465643/2100272229959264*c_1001_11^7 + 42892241026273175/2100272229959264*c_1001_11^6 - 122038350282171267/2100272229959264*c_1001_11^5 + 223639445073024239/2100272229959264*c_1001_11^4 - 289591836143194481/2100272229959264*c_1001_11^3 + 134451568292740225/1050136114979632*c_1001_11^2 - 77729149873130887/1050136114979632*c_1001_11 + 45655218746548309/2100272229959264, c_0011_4 + 826794417462513/2100272229959264*c_1001_11^10 - 2202385134718073/2100272229959264*c_1001_11^9 + 616620796408669/525068057489816*c_1001_11^8 - 2961752164101337/2100272229959264*c_1001_11^7 + 7623565953836505/2100272229959264*c_1001_11^6 - 22969049698669925/2100272229959264*c_1001_11^5 + 41640488947857505/2100272229959264*c_1001_11^4 - 51145473800694971/2100272229959264*c_1001_11^3 + 23247116996315069/1050136114979632*c_1001_11^2 - 12485830426342811/1050136114979632*c_1001_11 + 6192674846233711/2100272229959264, c_0011_9 + 48832938910171/2100272229959264*c_1001_11^10 + 256384654570333/2100272229959264*c_1001_11^9 - 78897756030125/262534028744908*c_1001_11^8 + 643037784968041/2100272229959264*c_1001_11^7 - 539377880594601/2100272229959264*c_1001_11^6 + 1526613390027137/2100272229959264*c_1001_11^5 - 6589378535430357/2100272229959264*c_1001_11^4 + 12063464987901091/2100272229959264*c_1001_11^3 - 7079445492682951/1050136114979632*c_1001_11^2 + 5755883145441175/1050136114979632*c_1001_11 - 4478758747498783/2100272229959264, c_0101_0 - 248802925676187/525068057489816*c_1001_11^10 + 63472843301420/65633507186227*c_1001_11^9 - 510753234378123/525068057489816*c_1001_11^8 + 398093762675107/262534028744908*c_1001_11^7 - 2118848985383045/525068057489816*c_1001_11^6 + 5763105772010843/525068057489816*c_1001_11^5 - 4789509921752581/262534028744908*c_1001_11^4 + 1489793464846285/65633507186227*c_1001_11^3 - 5414436923594843/262534028744908*c_1001_11^2 + 5873176244539603/525068057489816*c_1001_11 - 1938962399238321/525068057489816, c_0101_1 - 1, c_0101_10 + 90902474374237/525068057489816*c_1001_11^10 - 127035743069055/262534028744908*c_1001_11^9 + 257721184496485/525068057489816*c_1001_11^8 - 178878481001537/262534028744908*c_1001_11^7 + 898217003658847/525068057489816*c_1001_11^6 - 2448846272460731/525068057489816*c_1001_11^5 + 580344935137380/65633507186227*c_1001_11^4 - 2908982052002061/262534028744908*c_1001_11^3 + 1325760968781157/131267014372454*c_1001_11^2 - 2943049266464139/525068057489816*c_1001_11 + 551292972002531/525068057489816, c_1001_1 - 1175341552931325/1050136114979632*c_1001_11^10 + 3319289661441557/1050136114979632*c_1001_11^9 - 519075633849337/131267014372454*c_1001_11^8 + 5070788516053545/1050136114979632*c_1001_11^7 - 11820335105115877/1050136114979632*c_1001_11^6 + 34069657701612165/1050136114979632*c_1001_11^5 - 65388808128780493/1050136114979632*c_1001_11^4 + 86206300100673823/1050136114979632*c_1001_11^3 - 41425084823287599/525068057489816*c_1001_11^2 + 24746141494035655/525068057489816*c_1001_11 - 15603326809115243/1050136114979632, c_1001_10 - 511565833221093/2100272229959264*c_1001_11^10 + 717971811282263/2100272229959264*c_1001_11^9 - 119900365263411/525068057489816*c_1001_11^8 + 1094495935358761/2100272229959264*c_1001_11^7 - 3385574725823255/2100272229959264*c_1001_11^6 + 9041251865760565/2100272229959264*c_1001_11^5 - 13591360640685147/2100272229959264*c_1001_11^4 + 14116860097274251/2100272229959264*c_1001_11^3 - 1103048745071301/262534028744908*c_1001_11^2 + 28775800586985/262534028744908*c_1001_11 + 1757522762142339/2100272229959264, c_1001_11^11 - 142/43*c_1001_11^10 + 221/43*c_1001_11^9 - 279/43*c_1001_11^8 + 542/43*c_1001_11^7 - 1480/43*c_1001_11^6 + 3074/43*c_1001_11^5 - 4538/43*c_1001_11^4 + 4919/43*c_1001_11^3 - 3714/43*c_1001_11^2 + 1761/43*c_1001_11 - 391/43 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB