Magma V2.19-8 Wed Aug 21 2013 00:51:40 on localhost [Seed = 408816996] Type ? for help. Type -D to quit. Loading file "L11n192__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n192 geometric_solution 12.50210455 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 1 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 0 0 0 0 -1 -1 2 0 0 -1 1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324785133847 0.751000706527 0 4 4 5 0132 0132 1302 0132 1 1 1 0 0 0 0 0 0 0 -1 1 0 1 0 -1 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 1 0 -1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.655277485719 1.116680653611 0 0 7 6 3012 0132 0132 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 1 -1 0 -2 0 0 2 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.662029115298 0.736334992389 8 9 10 0 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 -1 1 -1 0 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 0.983394282279 1.073890486270 1 1 8 11 2031 0132 2310 0132 1 1 0 1 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 -1 1 0 1 0 -1 0 1 -2 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609107937202 0.666132460965 10 9 1 12 1023 1023 0132 0132 1 1 1 1 0 0 0 0 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 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 0.832287222616 0.835361792990 8 9 2 12 3120 0213 0132 3120 1 1 1 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 1 0 -2 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 0.851851519108 0.782465882410 11 11 9 2 1230 2031 2031 0132 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 0 0 0 0 0 0 0 0 -1 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 0.833528147073 0.690731168918 3 4 10 6 0132 3201 1023 3120 1 1 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 0 0 0 0 0 0 -1 1 1 0 0 -1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693588605074 0.732402631370 5 3 6 7 1023 0132 0213 1302 1 1 1 1 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486254959014 0.574561363340 12 5 8 3 3120 1023 1023 0132 1 1 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 0 0 0 0 0 0 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 0 0 0 0 0 0 0.482660278525 0.650315109995 7 7 4 12 1302 3012 0132 2031 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.833528147073 0.690731168918 6 11 5 10 3120 1302 0132 3120 1 1 1 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 -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 0.110469242098 0.522556761415 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_3'], 'c_1001_11' : negation(d['c_0011_7']), 'c_1001_10' : d['c_0101_0'], 'c_1001_12' : d['c_0110_11'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : negation(d['c_0110_11']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : d['c_0011_11'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0101_12'], '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' : negation(d['c_0011_7']), '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' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : negation(d['c_0101_12']), 'c_1100_6' : negation(d['c_0101_12']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : negation(d['c_0101_12']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0101_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : d['c_0110_11'], 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_0011_11'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : negation(d['c_0011_6']), '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_0101_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_10'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_10']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_11'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_12']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_6'])})} 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_6, c_0011_7, c_0101_0, c_0101_10, c_0101_12, c_0101_3, c_0101_6, c_0110_11, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 748023289799034037357/1436345159284045152*c_1001_0^13 - 43790121993659861879033/12927106433556406368*c_1001_0^12 + 41602622607830988909899/3231776608389101592*c_1001_0^11 - 133728395835331424712401/4309035477852135456*c_1001_0^10 + 689271605835008130418915/12927106433556406368*c_1001_0^9 - 292756481310870763400897/4309035477852135456*c_1001_0^8 + 12802052537678973767107/179543144910505644*c_1001_0^7 - 809543865042898973099293/12927106433556406368*c_1001_0^6 + 587642057486205574789345/12927106433556406368*c_1001_0^5 - 51184272638800355896175/1615888304194550796*c_1001_0^4 + 157441969283285288217823/6463553216778203184*c_1001_0^3 - 203494128927450375472057/12927106433556406368*c_1001_0^2 + 76293084765049791829399/12927106433556406368*c_1001_0 - 5483989769131172323775/6463553216778203184, c_0011_0 - 1, c_0011_10 - 53762954779446255/39898476646779032*c_1001_0^13 + 336899168392064807/39898476646779032*c_1001_0^12 - 155214372947215379/4987309580847379*c_1001_0^11 + 2870092179549872961/39898476646779032*c_1001_0^10 - 4691276612068681501/39898476646779032*c_1001_0^9 + 5631059316344866293/39898476646779032*c_1001_0^8 - 1406994924246448835/9974619161694758*c_1001_0^7 + 4707455143664863791/39898476646779032*c_1001_0^6 - 3164808379273097551/39898476646779032*c_1001_0^5 + 556408551983888391/9974619161694758*c_1001_0^4 - 904066705824280193/19949238323389516*c_1001_0^3 + 1043574433850525035/39898476646779032*c_1001_0^2 - 258782013428167193/39898476646779032*c_1001_0 + 2900509725134535/19949238323389516, c_0011_11 - 24423881339622879/39898476646779032*c_1001_0^13 + 127298196517883879/39898476646779032*c_1001_0^12 - 55798684231452413/4987309580847379*c_1001_0^11 + 938281484508789241/39898476646779032*c_1001_0^10 - 1527739346463231085/39898476646779032*c_1001_0^9 + 1839183918115150173/39898476646779032*c_1001_0^8 - 514930444903292425/9974619161694758*c_1001_0^7 + 1687587865437502175/39898476646779032*c_1001_0^6 - 1366805974811759223/39898476646779032*c_1001_0^5 + 254014793840408231/9974619161694758*c_1001_0^4 - 346634209638596973/19949238323389516*c_1001_0^3 + 398516765231043387/39898476646779032*c_1001_0^2 - 204481111148443065/39898476646779032*c_1001_0 + 26547136699157911/19949238323389516, c_0011_12 - 52437486759889383/19949238323389516*c_1001_0^13 + 309206328512523083/19949238323389516*c_1001_0^12 - 279300053744102809/4987309580847379*c_1001_0^11 + 2494928896618524045/19949238323389516*c_1001_0^10 - 4023317780087432477/19949238323389516*c_1001_0^9 + 4754461802796325249/19949238323389516*c_1001_0^8 - 1210864388385218471/4987309580847379*c_1001_0^7 + 3987587010036668675/19949238323389516*c_1001_0^6 - 2806141862839461955/19949238323389516*c_1001_0^5 + 504596129127318860/4987309580847379*c_1001_0^4 - 807767340449396943/9974619161694758*c_1001_0^3 + 901422173330471951/19949238323389516*c_1001_0^2 - 262733997744405893/19949238323389516*c_1001_0 + 18460543017933275/9974619161694758, c_0011_6 - 70348416150304089/19949238323389516*c_1001_0^13 + 414492102513050013/19949238323389516*c_1001_0^12 - 371636054385364105/4987309580847379*c_1001_0^11 + 3294460923734583279/19949238323389516*c_1001_0^10 - 5239441892585216767/19949238323389516*c_1001_0^9 + 6120140556707372847/19949238323389516*c_1001_0^8 - 1543257281475061721/4987309580847379*c_1001_0^7 + 5086331963898592453/19949238323389516*c_1001_0^6 - 3469632137874238653/19949238323389516*c_1001_0^5 + 641771902128325848/4987309580847379*c_1001_0^4 - 1016807265420751715/9974619161694758*c_1001_0^3 + 1093833098913364997/19949238323389516*c_1001_0^2 - 284402682184548803/19949238323389516*c_1001_0 + 23219740300750817/9974619161694758, c_0011_7 - 15573408758418915/39898476646779032*c_1001_0^13 + 71802026440836731/39898476646779032*c_1001_0^12 - 27602285070196000/4987309580847379*c_1001_0^11 + 361732727036988437/39898476646779032*c_1001_0^10 - 418261571800250921/39898476646779032*c_1001_0^9 + 290328601716831241/39898476646779032*c_1001_0^8 - 73090146574007871/9974619161694758*c_1001_0^7 + 128447259594098579/39898476646779032*c_1001_0^6 - 65234254128272995/39898476646779032*c_1001_0^5 + 39387544239646101/9974619161694758*c_1001_0^4 - 38214224438533321/19949238323389516*c_1001_0^3 - 88104382064186169/39898476646779032*c_1001_0^2 + 24226870419317603/39898476646779032*c_1001_0 + 14841369159920679/19949238323389516, c_0101_0 - 1, c_0101_10 + 125123423542189263/39898476646779032*c_1001_0^13 - 757182178585263295/39898476646779032*c_1001_0^12 + 344033769315168105/4987309580847379*c_1001_0^11 - 6227189120432178121/39898476646779032*c_1001_0^10 + 10060622213370182613/39898476646779032*c_1001_0^9 - 11949952511697914453/39898476646779032*c_1001_0^8 + 3013424416376115571/9974619161694758*c_1001_0^7 - 10044216668203086327/39898476646779032*c_1001_0^6 + 6874030021620204311/39898476646779032*c_1001_0^5 - 1244156260017005595/9974619161694758*c_1001_0^4 + 1995400306402970109/19949238323389516*c_1001_0^3 - 2275770579890916163/39898476646779032*c_1001_0^2 + 593032234788415209/39898476646779032*c_1001_0 - 31598111441580955/19949238323389516, c_0101_12 + 56027353017834585/39898476646779032*c_1001_0^13 - 309461610216057641/39898476646779032*c_1001_0^12 + 134201730942535725/4987309580847379*c_1001_0^11 - 2242629923642562991/39898476646779032*c_1001_0^10 + 3387568405651778523/39898476646779032*c_1001_0^9 - 3677473472321545403/39898476646779032*c_1001_0^8 + 901400193048333277/9974619161694758*c_1001_0^7 - 2722496996913413761/39898476646779032*c_1001_0^6 + 1758626350823473649/39898476646779032*c_1001_0^5 - 332106362638623075/9974619161694758*c_1001_0^4 + 529980520340124983/19949238323389516*c_1001_0^3 - 455368535741449013/39898476646779032*c_1001_0^2 + 17687035787729175/39898476646779032*c_1001_0 - 308160491303989/19949238323389516, c_0101_3 + 75681671040515925/19949238323389516*c_1001_0^13 - 462559493451144997/19949238323389516*c_1001_0^12 + 424747826359198713/4987309580847379*c_1001_0^11 - 3901216698923509643/19949238323389516*c_1001_0^10 + 6426480933509482891/19949238323389516*c_1001_0^9 - 7815288997409876627/19949238323389516*c_1001_0^8 + 2008355395911961560/4987309580847379*c_1001_0^7 - 6807371611250407753/19949238323389516*c_1001_0^6 + 4798562893445685097/19949238323389516*c_1001_0^5 - 860829493476468432/4987309580847379*c_1001_0^4 + 1352753309725602257/9974619161694758*c_1001_0^3 - 1616444585962668661/19949238323389516*c_1001_0^2 + 530982326916081491/19949238323389516*c_1001_0 - 43258964353295307/9974619161694758, c_0101_6 - 24423881339622879/39898476646779032*c_1001_0^13 + 127298196517883879/39898476646779032*c_1001_0^12 - 55798684231452413/4987309580847379*c_1001_0^11 + 938281484508789241/39898476646779032*c_1001_0^10 - 1527739346463231085/39898476646779032*c_1001_0^9 + 1839183918115150173/39898476646779032*c_1001_0^8 - 514930444903292425/9974619161694758*c_1001_0^7 + 1687587865437502175/39898476646779032*c_1001_0^6 - 1366805974811759223/39898476646779032*c_1001_0^5 + 254014793840408231/9974619161694758*c_1001_0^4 - 346634209638596973/19949238323389516*c_1001_0^3 + 398516765231043387/39898476646779032*c_1001_0^2 - 244379587795222097/39898476646779032*c_1001_0 + 26547136699157911/19949238323389516, c_0110_11 - 73457942693542677/19949238323389516*c_1001_0^13 + 425379744562804733/19949238323389516*c_1001_0^12 - 379284580182656173/4987309580847379*c_1001_0^11 + 3323340069491913847/19949238323389516*c_1001_0^10 - 5250330351454008415/19949238323389516*c_1001_0^9 + 6055294429761701451/19949238323389516*c_1001_0^8 - 1519430345309983907/4987309580847379*c_1001_0^7 + 4886416693689830357/19949238323389516*c_1001_0^6 - 3325903143618540149/19949238323389516*c_1001_0^5 + 608439118047345370/4987309580847379*c_1001_0^4 - 973561560789100595/9974619161694758*c_1001_0^3 + 1022183565828899073/19949238323389516*c_1001_0^2 - 240584217726049171/19949238323389516*c_1001_0 + 11337475398409763/9974619161694758, c_1001_0^14 - 59/9*c_1001_0^13 + 226/9*c_1001_0^12 - 551/9*c_1001_0^11 + 961/9*c_1001_0^10 - 1249/9*c_1001_0^9 + 446/3*c_1001_0^8 - 1201/9*c_1001_0^7 + 899/9*c_1001_0^6 - 638/9*c_1001_0^5 + 54*c_1001_0^4 - 107/3*c_1001_0^3 + 137/9*c_1001_0^2 - 32/9*c_1001_0 + 4/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.480 seconds, Total memory usage: 32.09MB