Magma V2.19-8 Tue Aug 20 2013 23:50:59 on localhost [Seed = 660687915] Type ? for help. Type -D to quit. Loading file "L13a4967__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a4967 geometric_solution 10.29464519 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 1 0 0 0 0 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 -1 1 0 1 0 0 -1 5 0 0 -5 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696313932339 1.002407813869 0 5 5 2 0132 0132 2031 3120 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 0 0 0 -1 0 0 1 -4 1 0 3 -5 -1 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382642217071 0.484057678702 1 0 5 6 3120 0132 3201 0132 0 1 0 1 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 1 -1 0 -1 0 1 0 -3 4 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.853181204167 0.597673550667 6 7 8 0 0132 0132 0132 0132 0 1 0 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 1 -1 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.107913854962 0.824921701481 9 6 0 7 0132 0132 0132 0132 0 1 0 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 -1 0 1 0 -1 1 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.107913854962 0.824921701481 2 1 6 1 2310 0132 1230 1302 1 1 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 6 -6 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.003112093451 0.786519786192 3 4 2 5 0132 0132 0132 3012 0 1 1 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 0 0 0 6 0 0 -6 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696313932339 1.002407813869 9 3 4 8 1023 0132 0132 0132 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 5 -6 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.404618827758 0.449005538757 10 9 7 3 0132 3201 0132 0132 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 0 0 0 0 0 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 -0.058605038327 1.957613436780 4 7 8 10 0132 1023 2310 0132 1 1 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 0 0 0 0 0 0 0 0 1 0 -1 0 5 -5 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.058605038327 1.957613436780 8 11 9 11 0132 0132 0132 1023 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 0.217657605727 0.695217718177 11 10 11 10 2031 0132 1302 1023 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 0.494113980418 0.091812253408 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_11'], 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : negation(d['c_0101_5']), 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : negation(d['c_0101_7']), 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : d['c_0110_11'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0101_1'], '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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_10']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_7']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0101_5']), 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : negation(d['c_0101_7']), 'c_1100_8' : d['c_1100_0'], '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0110_11'], 'c_0110_10' : d['c_0101_8'], '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' : d['c_0101_7'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], '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' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_8'], '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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_7, c_0101_8, c_0110_11, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 8191770977337454532123/81519022230412829920*c_1100_0^19 + 59616320108119982584683/81519022230412829920*c_1100_0^18 + 26017160290469659283591/8151902223041282992*c_1100_0^17 + 194914338202690498206251/20379755557603207480*c_1100_0^16 + 859059505454509083345793/40759511115206414960*c_1100_0^15 + 1482178604795772851493217/40759511115206414960*c_1100_0^14 + 261830992655200858245167/5094938889400801870*c_1100_0^13 + 2576443873693968907990059/40759511115206414960*c_1100_0^12 + 1493837389549714439325217/20379755557603207480*c_1100_0^11 + 1490744522951023196986757/20379755557603207480*c_1100_0^10 + 4859260485897213449024057/81519022230412829920*c_1100_0^9 + 371958166867705648524917/16303804446082565984*c_1100_0^8 - 145322979858755413051349/16303804446082565984*c_1100_0^7 - 2599956557035641213621151/81519022230412829920*c_1100_0^6 - 175907378012770948696541/5094938889400801870*c_1100_0^5 - 1329767336601107726011609/40759511115206414960*c_1100_0^4 - 43668853495038997201603/1852705050691200680*c_1100_0^3 - 659688702058248624972/46317626267280017*c_1100_0^2 - 53596152439518811939457/10189877778801603740*c_1100_0 - 11841746489619640023769/10189877778801603740, c_0011_0 - 1, c_0011_10 + 482955233544997463/1296893535483840476*c_1100_0^19 + 467429612363940661/185270505069120068*c_1100_0^18 + 13446952308099885977/1296893535483840476*c_1100_0^17 + 37562368570930041355/1296893535483840476*c_1100_0^16 + 37827729543968904623/648446767741920238*c_1100_0^15 + 4208203296403411206/46317626267280017*c_1100_0^14 + 10661690573383422551/92635252534560034*c_1100_0^13 + 5977876142257186279/46317626267280017*c_1100_0^12 + 46905365857099051280/324223383870960119*c_1100_0^11 + 11651795131211121255/92635252534560034*c_1100_0^10 + 96215014827515589989/1296893535483840476*c_1100_0^9 - 36540988432120759123/1296893535483840476*c_1100_0^8 - 23351432419222741859/324223383870960119*c_1100_0^7 - 53693054399007136661/648446767741920238*c_1100_0^6 - 82732877608168047619/1296893535483840476*c_1100_0^5 - 62970871508248864215/1296893535483840476*c_1100_0^4 - 2653292924173092421/92635252534560034*c_1100_0^3 - 296915522340602403/46317626267280017*c_1100_0^2 + 1004448408961183164/324223383870960119*c_1100_0 + 1079562127631580100/324223383870960119, c_0011_3 - c_1100_0, c_0101_0 + 41959260702144829/185270505069120068*c_1100_0^19 + 64936753460081972/46317626267280017*c_1100_0^18 + 991434326766583079/185270505069120068*c_1100_0^17 + 627701822267175850/46317626267280017*c_1100_0^16 + 1095501954563392687/46317626267280017*c_1100_0^15 + 2806457243113853379/92635252534560034*c_1100_0^14 + 2707813103342016157/92635252534560034*c_1100_0^13 + 2246687011416177475/92635252534560034*c_1100_0^12 + 2296474220023996703/92635252534560034*c_1100_0^11 + 225270647390249766/46317626267280017*c_1100_0^10 - 4244417272855741749/185270505069120068*c_1100_0^9 - 2970568738777234553/46317626267280017*c_1100_0^8 - 2232419483997273366/46317626267280017*c_1100_0^7 - 1123225711160642658/46317626267280017*c_1100_0^6 - 733349442014081271/185270505069120068*c_1100_0^5 + 400054166607990425/92635252534560034*c_1100_0^4 + 415594061624205044/46317626267280017*c_1100_0^3 + 1327751116373765433/92635252534560034*c_1100_0^2 + 452150705633220452/46317626267280017*c_1100_0 + 165685670346363281/46317626267280017, c_0101_1 - 1, c_0101_2 - 14193465212676138/324223383870960119*c_1100_0^19 - 25040448336672865/185270505069120068*c_1100_0^18 + 12167406598574660/324223383870960119*c_1100_0^17 + 2869928967141815809/1296893535483840476*c_1100_0^16 + 6716133674861889081/648446767741920238*c_1100_0^15 + 2574596680503643363/92635252534560034*c_1100_0^14 + 2447424531767153413/46317626267280017*c_1100_0^13 + 7186420158997606739/92635252534560034*c_1100_0^12 + 61387294022883592181/648446767741920238*c_1100_0^11 + 10389739444035642039/92635252534560034*c_1100_0^10 + 38588715311682676715/324223383870960119*c_1100_0^9 + 132798546313481930387/1296893535483840476*c_1100_0^8 + 12985217221433149066/324223383870960119*c_1100_0^7 - 15224129698746265187/648446767741920238*c_1100_0^6 - 35740393850688771973/648446767741920238*c_1100_0^5 - 73924217780988922143/1296893535483840476*c_1100_0^4 - 4614172082757888095/92635252534560034*c_1100_0^3 - 3561147975624788213/92635252534560034*c_1100_0^2 - 6323364075965234908/324223383870960119*c_1100_0 - 1962079026476675564/324223383870960119, c_0101_5 + 41959260702144829/185270505069120068*c_1100_0^19 + 64936753460081972/46317626267280017*c_1100_0^18 + 991434326766583079/185270505069120068*c_1100_0^17 + 627701822267175850/46317626267280017*c_1100_0^16 + 1095501954563392687/46317626267280017*c_1100_0^15 + 2806457243113853379/92635252534560034*c_1100_0^14 + 2707813103342016157/92635252534560034*c_1100_0^13 + 2246687011416177475/92635252534560034*c_1100_0^12 + 2296474220023996703/92635252534560034*c_1100_0^11 + 225270647390249766/46317626267280017*c_1100_0^10 - 4244417272855741749/185270505069120068*c_1100_0^9 - 2970568738777234553/46317626267280017*c_1100_0^8 - 2232419483997273366/46317626267280017*c_1100_0^7 - 1123225711160642658/46317626267280017*c_1100_0^6 - 733349442014081271/185270505069120068*c_1100_0^5 + 400054166607990425/92635252534560034*c_1100_0^4 + 415594061624205044/46317626267280017*c_1100_0^3 + 1327751116373765433/92635252534560034*c_1100_0^2 + 452150705633220452/46317626267280017*c_1100_0 + 165685670346363281/46317626267280017, c_0101_7 - 112160546139887/3562894328252309*c_1100_0^19 - 3902301125396095/7125788656504618*c_1100_0^18 - 11728371242728949/3562894328252309*c_1100_0^17 - 45635710700791388/3562894328252309*c_1100_0^16 - 125994426933609569/3562894328252309*c_1100_0^15 - 518861192218473259/7125788656504618*c_1100_0^14 - 420677308455158919/3562894328252309*c_1100_0^13 - 563134086528801260/3562894328252309*c_1100_0^12 - 666027481156298472/3562894328252309*c_1100_0^11 - 748814266466480156/3562894328252309*c_1100_0^10 - 710008862213092283/3562894328252309*c_1100_0^9 - 999934535551328503/7125788656504618*c_1100_0^8 - 85853788266450600/3562894328252309*c_1100_0^7 + 440657926764796211/7125788656504618*c_1100_0^6 + 355829209546510767/3562894328252309*c_1100_0^5 + 690560780932873253/7125788656504618*c_1100_0^4 + 289360983507889998/3562894328252309*c_1100_0^3 + 405444076694358469/7125788656504618*c_1100_0^2 + 96303690304492186/3562894328252309*c_1100_0 + 24082385906055101/3562894328252309, c_0101_8 + 45600036564166145/1296893535483840476*c_1100_0^19 + 30936485417006477/92635252534560034*c_1100_0^18 + 2167850141538399601/1296893535483840476*c_1100_0^17 + 1861773014649966094/324223383870960119*c_1100_0^16 + 9379511613888623339/648446767741920238*c_1100_0^15 + 1303722833103488358/46317626267280017*c_1100_0^14 + 4100860060147942259/92635252534560034*c_1100_0^13 + 5442279598345638265/92635252534560034*c_1100_0^12 + 45480338546822291383/648446767741920238*c_1100_0^11 + 3555395904494918576/46317626267280017*c_1100_0^10 + 91749406138991154243/1296893535483840476*c_1100_0^9 + 31018984615201213989/648446767741920238*c_1100_0^8 + 5842301621795286199/648446767741920238*c_1100_0^7 - 13281817555396453485/648446767741920238*c_1100_0^6 - 48155955787789978347/1296893535483840476*c_1100_0^5 - 11891599529481541245/324223383870960119*c_1100_0^4 - 2789390914662198311/92635252534560034*c_1100_0^3 - 958175618438471614/46317626267280017*c_1100_0^2 - 3471302406609584821/324223383870960119*c_1100_0 - 1273654667045181431/324223383870960119, c_0110_11 + 441070729797622903/1296893535483840476*c_1100_0^19 + 447762950311410573/185270505069120068*c_1100_0^18 + 13326512278831193965/1296893535483840476*c_1100_0^17 + 38767240097439774553/1296893535483840476*c_1100_0^16 + 41081805872706446417/648446767741920238*c_1100_0^15 + 9683297272147569885/92635252534560034*c_1100_0^14 + 13074019012848426517/92635252534560034*c_1100_0^13 + 7750418170273071841/46317626267280017*c_1100_0^12 + 62129536725590799986/324223383870960119*c_1100_0^11 + 16993855064384653843/92635252534560034*c_1100_0^10 + 174418436148591208989/1296893535483840476*c_1100_0^9 + 32413987824513347389/1296893535483840476*c_1100_0^8 - 16501972642445171716/324223383870960119*c_1100_0^7 - 28900607973831972102/324223383870960119*c_1100_0^6 - 114473726611153869247/1296893535483840476*c_1100_0^5 - 97549445690624469195/1296893535483840476*c_1100_0^4 - 4874695589417520727/92635252534560034*c_1100_0^3 - 2309421800395565559/92635252534560034*c_1100_0^2 - 2299286946721881869/324223383870960119*c_1100_0 - 73870641188626350/324223383870960119, c_1001_0 - 18423168304044129/46317626267280017*c_1100_0^19 - 541749776627993175/185270505069120068*c_1100_0^18 - 1182711032948952367/92635252534560034*c_1100_0^17 - 7094425808120340461/185270505069120068*c_1100_0^16 - 3900674727146803968/46317626267280017*c_1100_0^15 - 6699232666970276964/46317626267280017*c_1100_0^14 - 9410013223136976457/46317626267280017*c_1100_0^13 - 22979835465263580401/92635252534560034*c_1100_0^12 - 26516811263162957689/92635252534560034*c_1100_0^11 - 26371039356806389009/92635252534560034*c_1100_0^10 - 10508283874338535525/46317626267280017*c_1100_0^9 - 15076808681857325401/185270505069120068*c_1100_0^8 + 4478767922046623373/92635252534560034*c_1100_0^7 + 5921330055611441712/46317626267280017*c_1100_0^6 + 13064253732954759259/92635252534560034*c_1100_0^5 + 22768355394787972965/185270505069120068*c_1100_0^4 + 4296578436924883182/46317626267280017*c_1100_0^3 + 2328237113667226802/46317626267280017*c_1100_0^2 + 875128268155540293/46317626267280017*c_1100_0 + 130832436536220243/46317626267280017, c_1100_0^20 + 8*c_1100_0^19 + 37*c_1100_0^18 + 118*c_1100_0^17 + 278*c_1100_0^16 + 512*c_1100_0^15 + 770*c_1100_0^14 + 994*c_1100_0^13 + 1178*c_1100_0^12 + 1248*c_1100_0^11 + 1111*c_1100_0^10 + 648*c_1100_0^9 + 70*c_1100_0^8 - 382*c_1100_0^7 - 571*c_1100_0^6 - 570*c_1100_0^5 - 466*c_1100_0^4 - 308*c_1100_0^3 - 152*c_1100_0^2 - 48*c_1100_0 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB