Magma V2.19-8 Wed Aug 21 2013 01:02:10 on localhost [Seed = 4105367371] Type ? for help. Type -D to quit. Loading file "L14n14014__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14014 geometric_solution 12.39934419 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 0 0 0 0 0 0 0 1 -1 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 0 -1 1 -1 0 4 -3 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138895818481 0.681986734073 0 5 3 6 0132 0132 2103 0132 0 1 0 1 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 0 0 0 1 0 0 -1 0 1 0 -1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.936247732640 1.164685524421 7 0 5 8 0132 0132 0132 0132 0 0 0 1 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 0 -1 1 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312401757377 0.666464980298 1 9 7 0 2103 0132 1230 0132 0 1 0 1 0 0 0 0 0 0 1 -1 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 4 -4 0 0 0 0 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588602694023 1.104365212378 7 9 0 5 1230 3012 0132 1230 0 1 0 1 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 0 -1 1 0 0 3 -3 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.470296225519 1.191020590700 4 1 10 2 3012 0132 0132 0132 0 0 1 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 0 0 0 -1 0 0 1 3 -3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349862117683 1.068664008267 8 11 1 8 3201 0132 0132 1230 0 1 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 -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 0.847964058477 1.189736632503 2 4 11 3 0132 3012 1023 3012 1 0 1 0 0 -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 -4 0 4 0 0 0 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.763262742325 0.848396797456 6 12 2 6 3012 0132 0132 2310 0 0 1 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 0.847964058477 1.189736632503 4 3 12 10 1230 0132 0132 2031 0 0 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 0 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 0 0 0.782706522068 0.718016852138 12 9 11 5 0213 1302 3201 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296153835227 0.358300997277 10 6 7 12 2310 0132 1023 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538084072000 1.092327501488 10 8 11 9 0213 0132 2031 0132 0 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 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 0.805557681850 0.787242329978 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : d['c_0011_4'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_1001_5'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_4']), 'c_0101_10' : d['c_0011_12'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(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' : negation(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_5']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0101_0']), 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_11']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0011_12'], 'c_1100_8' : negation(d['c_0011_11']), 's_3_1' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_5']), 's_1_7' : 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_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), '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_12']), 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : negation(d['c_0101_5']), 'c_0101_12' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_5']), 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : negation(d['c_0101_0']), '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_7'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_12'])})} 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_12, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_7, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 3930016170104729795494751307233163290056388056/35651580732524554401\ 08063723034405673625825*c_1001_5^10 + 7233158343363616456603480773257211906024882044/71303161465049108802\ 1612744606881134725165*c_1001_5^9 + 127393269441714960593393397948069650759423174958/356515807325245544\ 0108063723034405673625825*c_1001_5^8 + 129793926322327805007165649736474664635395540909/356515807325245544\ 0108063723034405673625825*c_1001_5^7 - 306372843037790524275188158774984725728919694411/356515807325245544\ 0108063723034405673625825*c_1001_5^6 - 76339084499006463867772288912888696598357624217/3241052793865868581\ 91642156639491424875075*c_1001_5^5 - 34163288626532698667362240203185359941690604019/3241052793865868581\ 91642156639491424875075*c_1001_5^4 + 533058460717958372814034577275393457462009566133/356515807325245544\ 0108063723034405673625825*c_1001_5^3 + 61827806119681749949932146705818286433864018963/7130316146504910880\ 21612744606881134725165*c_1001_5^2 - 178733619607715997939132528124299895003019665091/356515807325245544\ 0108063723034405673625825*c_1001_5 - 3497579672652563725095729437734181573636933796/35651580732524554401\ 08063723034405673625825, c_0011_0 - 1, c_0011_10 - 542402957623539581104813550/1768749829191814163581363793*c_\ 1001_5^10 - 4988591327996850186376962567/17687498291918141635813637\ 93*c_1001_5^9 - 17354550423307093316993860411/176874982919181416358\ 1363793*c_1001_5^8 - 16352782033062894668404097746/1768749829191814\ 163581363793*c_1001_5^7 + 46130047875857786925853880858/17687498291\ 91814163581363793*c_1001_5^6 + 115514940563092724732378979387/17687\ 49829191814163581363793*c_1001_5^5 + 37192918664408470706705277276/1768749829191814163581363793*c_1001_5\ ^4 - 88919029422541835560624390884/1768749829191814163581363793*c_1\ 001_5^3 - 37648324299169303584442503793/176874982919181416358136379\ 3*c_1001_5^2 + 34095109362463495735612828983/1768749829191814163581\ 363793*c_1001_5 - 1304364221967682616424607995/17687498291918141635\ 81363793, c_0011_11 + 467215832785936913658324644/1768749829191814163581363793*c_\ 1001_5^10 + 4233903956828788386651715982/17687498291918141635813637\ 93*c_1001_5^9 + 14563823678917383460003514555/176874982919181416358\ 1363793*c_1001_5^8 + 13411980301401121076783486198/1768749829191814\ 163581363793*c_1001_5^7 - 38501447828393127739645571876/17687498291\ 91814163581363793*c_1001_5^6 - 95440684636049104242368344155/176874\ 9829191814163581363793*c_1001_5^5 - 31767439480712975088858700091/1768749829191814163581363793*c_1001_5\ ^4 + 71007537573945762683335228328/1768749829191814163581363793*c_1\ 001_5^3 + 31676355648006637444580855022/176874982919181416358136379\ 3*c_1001_5^2 - 26021240761131080273274964221/1768749829191814163581\ 363793*c_1001_5 + 182699201959040813523927664/176874982919181416358\ 1363793, c_0011_12 + 517127918784210324992978226/1768749829191814163581363793*c_\ 1001_5^10 + 4569511045250412895733334303/17687498291918141635813637\ 93*c_1001_5^9 + 14820785723594011622838073226/176874982919181416358\ 1363793*c_1001_5^8 + 9086002812932312708328857403/17687498291918141\ 63581363793*c_1001_5^7 - 53095882096045386474107159974/176874982919\ 1814163581363793*c_1001_5^6 - 102585169838616494429026423796/176874\ 9829191814163581363793*c_1001_5^5 + 5163108190035943832691601043/1768749829191814163581363793*c_1001_5^\ 4 + 126827303934019983144051099306/1768749829191814163581363793*c_1\ 001_5^3 + 35924022021690459506215646284/176874982919181416358136379\ 3*c_1001_5^2 - 49035683363709086285716313116/1768749829191814163581\ 363793*c_1001_5 + 1690395792658417595011021991/17687498291918141635\ 81363793, c_0011_3 - 363455489559087263611723190/1768749829191814163581363793*c_1\ 001_5^10 - 3174173848599595697811438724/176874982919181416358136379\ 3*c_1001_5^9 - 10572455975121848060285377223/1768749829191814163581\ 363793*c_1001_5^8 - 9164059555665330787293329753/176874982919181416\ 3581363793*c_1001_5^7 + 26991825727059969806505366513/1768749829191\ 814163581363793*c_1001_5^6 + 64700933323399725441482809497/17687498\ 29191814163581363793*c_1001_5^5 + 25715170665398145730299569232/176\ 8749829191814163581363793*c_1001_5^4 - 37712426562613815547439789614/1768749829191814163581363793*c_1001_5\ ^3 - 21149755804507612753648287522/1768749829191814163581363793*c_1\ 001_5^2 + 10861025501204905134005373577/176874982919181416358136379\ 3*c_1001_5 + 1187244775959826158944193152/1768749829191814163581363\ 793, c_0011_4 + 866860541783805191798344975/1768749829191814163581363793*c_1\ 001_5^10 + 8066227132557590992026879066/176874982919181416358136379\ 3*c_1001_5^9 + 29063694375543812636265411305/1768749829191814163581\ 363793*c_1001_5^8 + 32828465273160908990919155926/17687498291918141\ 63581363793*c_1001_5^7 - 60030020492808351850336400086/176874982919\ 1814163581363793*c_1001_5^6 - 187200475371819698407596371152/176874\ 9829191814163581363793*c_1001_5^5 - 111312979317736364106607855953/1768749829191814163581363793*c_1001_\ 5^4 + 81142287513402260008615963579/1768749829191814163581363793*c_\ 1001_5^3 + 62723982015532411297471216913/17687498291918141635813637\ 93*c_1001_5^2 - 25630287465354092633232608845/176874982919181416358\ 1363793*c_1001_5 + 1152066697143610883109452892/1768749829191814163\ 581363793, c_0101_0 - 194056618550067874049733440/1768749829191814163581363793*c_1\ 001_5^10 - 1789185893846051875677640706/176874982919181416358136379\ 3*c_1001_5^9 - 6261347112339658879399513024/17687498291918141635813\ 63793*c_1001_5^8 - 6163256995875974040036379044/1768749829191814163\ 581363793*c_1001_5^7 + 15616931277178046928302416761/17687498291918\ 14163581363793*c_1001_5^6 + 40589013850860319442636384274/176874982\ 9191814163581363793*c_1001_5^5 + 15823040116871140341140810694/1768\ 749829191814163581363793*c_1001_5^4 - 26342197623632510364061386498/1768749829191814163581363793*c_1001_5\ ^3 - 11547683763412745455250234109/1768749829191814163581363793*c_1\ 001_5^2 + 10771358198867033736508510108/176874982919181416358136379\ 3*c_1001_5 - 413157466231152427504425967/17687498291918141635813637\ 93, c_0101_1 - 1, c_0101_2 + 611536172754518922455338053/1768749829191814163581363793*c_1\ 001_5^10 + 5581276132146362182128999257/176874982919181416358136379\ 3*c_1001_5^9 + 19452483510823003482178460936/1768749829191814163581\ 363793*c_1001_5^8 + 19200393997736343570804040638/17687498291918141\ 63581363793*c_1001_5^7 - 47657895415065736149436497285/176874982919\ 1814163581363793*c_1001_5^6 - 126607816274664677781930649001/176874\ 9829191814163581363793*c_1001_5^5 - 55209782788831519623489307985/1768749829191814163581363793*c_1001_5\ ^4 + 78951061890694102645755340296/1768749829191814163581363793*c_1\ 001_5^3 + 47035824599932269801967653069/176874982919181416358136379\ 3*c_1001_5^2 - 23057024257608818841858981791/1768749829191814163581\ 363793*c_1001_5 - 804430198934901023517854071/176874982919181416358\ 1363793, c_0101_5 - 328952358034596581664390037/1768749829191814163581363793*c_1\ 001_5^10 - 2619692733697496074327493778/176874982919181416358136379\ 3*c_1001_5^9 - 7267363325713024886357010992/17687498291918141635813\ 63793*c_1001_5^8 - 110728271858199318270500450/17687498291918141635\ 81363793*c_1001_5^7 + 33819156712311407161350765410/176874982919181\ 4163581363793*c_1001_5^6 + 43667058843841227114576494811/1768749829\ 191814163581363793*c_1001_5^5 - 25898383413875865169608894301/17687\ 49829191814163581363793*c_1001_5^4 - 70238018896973168703111068500/1768749829191814163581363793*c_1001_5\ ^3 - 9892207123310528535194166850/1768749829191814163581363793*c_10\ 01_5^2 + 25082400695697736759612123509/1768749829191814163581363793\ *c_1001_5 + 158994306681499935771507841/176874982919181416358136379\ 3, c_0101_7 - 576906089148030263052146703/1768749829191814163581363793*c_1\ 001_5^10 - 5543072442898949809860907513/176874982919181416358136379\ 3*c_1001_5^9 - 20659643072715916490922226642/1768749829191814163581\ 363793*c_1001_5^8 - 25406113316870026137426927049/17687498291918141\ 63581363793*c_1001_5^7 + 39302716890606349571008481961/176874982919\ 1814163581363793*c_1001_5^6 + 136548815042651223059285294073/176874\ 9829191814163581363793*c_1001_5^5 + 88806472743682481606613740809/1768749829191814163581363793*c_1001_5\ ^4 - 56393437088182482404953111998/1768749829191814163581363793*c_1\ 001_5^3 - 48905872980366387802896624465/176874982919181416358136379\ 3*c_1001_5^2 + 19873734167970664110006079051/1768749829191814163581\ 363793*c_1001_5 - 276113752689356393251922684/176874982919181416358\ 1363793, c_1001_0 - 805592791304586796505071493/1768749829191814163581363793*c_1\ 001_5^10 - 7370462025992414057806639963/176874982919181416358136379\ 3*c_1001_5^9 - 25713830623162662361577973960/1768749829191814163581\ 363793*c_1001_5^8 - 25363650993612317610840419682/17687498291918141\ 63581363793*c_1001_5^7 + 63274826692243783077738914046/176874982919\ 1814163581363793*c_1001_5^6 + 167196830125524997224567033275/176874\ 9829191814163581363793*c_1001_5^5 + 71032822905702659964630118679/1768749829191814163581363793*c_1001_5\ ^4 - 105293259514326613009816726794/1768749829191814163581363793*c_\ 1001_5^3 - 58583508363345015257217887178/17687498291918141635813637\ 93*c_1001_5^2 + 32059632627284038414786128106/176874982919181416358\ 1363793*c_1001_5 + 391272732703748596013428104/17687498291918141635\ 81363793, c_1001_5^11 + 1542/169*c_1001_5^10 + 5357/169*c_1001_5^9 + 5157/169*c_1001_5^8 - 13596/169*c_1001_5^7 - 35060/169*c_1001_5^6 - 13365/169*c_1001_5^5 + 24074/169*c_1001_5^4 + 11426/169*c_1001_5^3 - 8654/169*c_1001_5^2 + 514/169*c_1001_5 - 17/169 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.310 Total time: 0.520 seconds, Total memory usage: 32.09MB