Magma V2.19-8 Wed Aug 21 2013 00:58:32 on localhost [Seed = 2766323240] Type ? for help. Type -D to quit. Loading file "L13n5867__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5867 geometric_solution 11.91231560 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 0.588491269030 1.102520155173 0 4 3 5 0132 0132 3120 0132 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 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 0.008815153453 0.693432069938 6 0 6 0 0132 0132 3120 2103 1 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 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 0.588491269030 1.102520155173 4 6 1 0 0132 0132 3120 0132 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 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 0.846568278459 0.583041140411 3 1 7 8 0132 0132 0132 0132 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 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 0.457633765187 0.554138115454 7 9 1 8 0132 0132 0132 3120 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 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 0.858241902616 0.969053967007 2 3 2 10 0132 0132 3120 0132 1 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 0 0 0 0 0 0 0 0 1 0 -1 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 0.588491269030 1.102520155173 5 9 11 4 0132 0321 0132 0132 1 0 1 1 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 1 -1 0 0 0 1 -1 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.818428031279 1.420379334823 5 10 4 12 3120 3120 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.272298074802 1.432217595805 11 5 12 7 1023 0132 2310 0321 1 1 1 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 1 -1 1 0 -6 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 1.149682542214 0.446845742873 11 8 6 12 2103 3120 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 0.622482220878 0.568172637738 12 9 10 7 0132 1023 2103 0132 1 0 1 1 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 -1 0 1 0 0 1 -1 6 -1 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346137657897 0.416095497605 11 9 8 10 0132 3201 0132 2103 1 0 1 1 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 -1 0 1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.035612166698 0.832943366282 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_1001_1']), 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_1001_0']), 'c_1001_9' : negation(d['c_0011_8']), 'c_1001_8' : d['c_1001_1'], 'c_1010_12' : d['c_0011_8'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_8']), 's_0_10' : d['1'], 's_0_11' : 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_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_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_1100_9' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0110_10']), 'c_1100_7' : negation(d['c_0110_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : negation(d['c_0101_1']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_10']), 'c_1100_10' : negation(d['c_0101_10']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_4'], 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_1001_0']), 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0110_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' : negation(d['c_0110_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' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : 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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_3'], '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' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_10']})} 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_8, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0110_10, c_1001_0, c_1001_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 247652705281120895787215146305309414742/470690769620560309686438245\ 236897645*c_1001_4^18 + 1012083697405273771566238403945918914518/47\ 0690769620560309686438245236897645*c_1001_4^17 - 2672238199026582263120050212621843561284/47069076962056030968643824\ 5236897645*c_1001_4^16 - 4335494946981374864763039879566044181372/4\ 70690769620560309686438245236897645*c_1001_4^15 + 8676601321524557412575044087854135713331/47069076962056030968643824\ 5236897645*c_1001_4^14 + 982034200111531122403810880182278109987/36\ 206982278504639206649095787453665*c_1001_4^13 - 11627026690193618297908514641837974771526/4706907696205603096864382\ 45236897645*c_1001_4^12 - 5815383322107515062473937024415590285203/\ 94138153924112061937287649047379529*c_1001_4^11 + 2430619154466563804002154398827692792587/47069076962056030968643824\ 5236897645*c_1001_4^10 + 3203519175692062480800482269144711468684/3\ 6206982278504639206649095787453665*c_1001_4^9 + 9372035468091263076708860251190840533228/47069076962056030968643824\ 5236897645*c_1001_4^8 - 35205944692554802644355688633993559383886/4\ 70690769620560309686438245236897645*c_1001_4^7 - 8528237705019932372039402534940928806867/47069076962056030968643824\ 5236897645*c_1001_4^6 + 544718823320852772771149110216422060387/114\ 80262673672202675278981591143845*c_1001_4^5 + 7872896177209284352645950903476075281393/47069076962056030968643824\ 5236897645*c_1001_4^4 - 8391389670859810984577184370707426311894/47\ 0690769620560309686438245236897645*c_1001_4^3 - 3687418608448973795707763442318560942502/47069076962056030968643824\ 5236897645*c_1001_4^2 + 1978100003570124294443843556707275823813/47\ 0690769620560309686438245236897645*c_1001_4 + 977818192964361315796351844450297214119/470690769620560309686438245\ 236897645, c_0011_0 - 1, c_0011_10 - 22640601250815590643521373425924/17487071856317140404080703\ 10913*c_1001_4^18 - 89966503534207177299079197614624/17487071856317\ 14040408070310913*c_1001_4^17 + 254317085317134066898819918206308/1\ 748707185631714040408070310913*c_1001_4^16 + 368182710507869694127007537416420/1748707185631714040408070310913*c\ _1001_4^15 - 828934017021993205328106794450566/17487071856317140404\ 08070310913*c_1001_4^14 - 1085145029487286049662879614402928/174870\ 7185631714040408070310913*c_1001_4^13 + 1167564443158222577137975626648470/1748707185631714040408070310913*\ c_1001_4^12 + 2559743891760751816844123853202716/174870718563171404\ 0408070310913*c_1001_4^11 - 464177964417605748979831826082414/17487\ 07185631714040408070310913*c_1001_4^10 - 3794109137738130240347415389689222/1748707185631714040408070310913*\ c_1001_4^9 - 533863857956498644162463365404896/17487071856317140404\ 08070310913*c_1001_4^8 + 3284577880413942121252031362102540/1748707\ 185631714040408070310913*c_1001_4^7 + 554666987708122151351727564436894/1748707185631714040408070310913*c\ _1001_4^6 - 2078330791457679410626031278977704/17487071856317140404\ 08070310913*c_1001_4^5 - 590744898779710213519957898304068/17487071\ 85631714040408070310913*c_1001_4^4 + 814607158135491160721739601547542/1748707185631714040408070310913*c\ _1001_4^3 + 302177938733760337383751527409196/174870718563171404040\ 8070310913*c_1001_4^2 - 198957532759501554870217837966031/174870718\ 5631714040408070310913*c_1001_4 - 87291654803055612429069965126686/\ 1748707185631714040408070310913, c_0011_11 - 136262313314936565916969590771438/8743535928158570202040351\ 554565*c_1001_4^18 - 541543856145805210391218005313408/874353592815\ 8570202040351554565*c_1001_4^17 + 153001929149444305854290845487796\ 6/8743535928158570202040351554565*c_1001_4^16 + 443256326019412494352789776579610/1748707185631714040408070310913*c\ _1001_4^15 - 4983350362634222917507211965139031/8743535928158570202\ 040351554565*c_1001_4^14 - 6537695756411007660557824712088704/87435\ 35928158570202040351554565*c_1001_4^13 + 7015574644252902892376805163333251/8743535928158570202040351554565*\ c_1001_4^12 + 3083497668735950050910350756011982/174870718563171404\ 0408070310913*c_1001_4^11 - 2774222996371046501891464290012538/8743\ 535928158570202040351554565*c_1001_4^10 - 22837495551495766605273455769057819/8743535928158570202040351554565\ *c_1001_4^9 - 3251692543540285456560692536120719/874353592815857020\ 2040351554565*c_1001_4^8 + 19769887322682128777011455059383148/8743\ 535928158570202040351554565*c_1001_4^7 + 676776140244951062547943806502486/1748707185631714040408070310913*c\ _1001_4^6 - 2503638792991512349289817215808511/17487071856317140404\ 08070310913*c_1001_4^5 - 717263996157027553294279341535681/17487071\ 85631714040408070310913*c_1001_4^4 + 4904241604958554515876515818026534/8743535928158570202040351554565*\ c_1001_4^3 + 1831747441216062172611994305918408/8743535928158570202\ 040351554565*c_1001_4^2 - 1191674293778339312477287602563571/874353\ 5928158570202040351554565*c_1001_4 - 529751164813316999162895209198979/8743535928158570202040351554565, c_0011_8 + 50686351117621948117096264300856/874353592815857020204035155\ 4565*c_1001_4^18 + 205580380364772266186647746524256/87435359281585\ 70202040351554565*c_1001_4^17 - 554842180205957484106521868051402/8\ 743535928158570202040351554565*c_1001_4^16 - 175746449873400519081915850048674/1748707185631714040408070310913*c\ _1001_4^15 + 1813798196955955115763954573940452/8743535928158570202\ 040351554565*c_1001_4^14 + 2611344815724551296178015354781898/87435\ 35928158570202040351554565*c_1001_4^13 - 2503891389363028690779424780890587/8743535928158570202040351554565*\ c_1001_4^12 - 1205776624270188392488035675879759/174870718563171404\ 0408070310913*c_1001_4^11 + 712557108522303631891646003559196/87435\ 35928158570202040351554565*c_1001_4^10 + 8796096219275263072110910307213348/8743535928158570202040351554565*\ c_1001_4^9 + 1785897771294864188133597311518508/8743535928158570202\ 040351554565*c_1001_4^8 - 7618344107793931031270001216972481/874353\ 5928158570202040351554565*c_1001_4^7 - 363879569417305308758005348921419/1748707185631714040408070310913*c\ _1001_4^6 + 976876325444576907545366682888651/174870718563171404040\ 8070310913*c_1001_4^5 + 339242255589404149496843147801384/174870718\ 5631714040408070310913*c_1001_4^4 - 1896338251303391453268512184172993/8743535928158570202040351554565*\ c_1001_4^3 - 835894553213458392630286075597176/87435359281585702020\ 40351554565*c_1001_4^2 + 456516930686011377897450629237082/87435359\ 28158570202040351554565*c_1001_4 + 239877161275114789067470888151798/8743535928158570202040351554565, c_0101_0 - 1, c_0101_1 - 238781906860689611427029518708694/87435359281585702020403515\ 54565*c_1001_4^18 - 957543364275169149887282353391096/8743535928158\ 570202040351554565*c_1001_4^17 + 2653224437622947033549597999506824\ /8743535928158570202040351554565*c_1001_4^16 + 800335972724286584631985930961176/1748707185631714040408070310913*c\ _1001_4^15 - 8669364030903627538494460594199803/8743535928158570202\ 040351554565*c_1001_4^14 - 11837075206645222890405557574410706/8743\ 535928158570202040351554565*c_1001_4^13 + 12121495962890905854966081933087858/8743535928158570202040351554565\ *c_1001_4^12 + 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