Magma V2.19-8 Wed Aug 21 2013 00:58:22 on localhost [Seed = 3170543141] Type ? for help. Type -D to quit. Loading file "L13n5249__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5249 geometric_solution 12.57952659 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 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 -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 0.429167952712 0.594679221138 0 4 5 5 0132 0132 2103 0132 1 0 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 0 0 -1 0 3 -2 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400629231782 0.839518892871 6 0 5 7 0132 0132 0213 0132 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 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 0.667631596748 0.828130754879 0 8 9 0 3120 0132 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 0 0 0 0 0 -1 1 0 0 0 0 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.840085742488 0.875181303161 10 1 8 6 0132 0132 2103 1023 1 1 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 0 0 0 0 0 0 0 -3 1 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.003416131441 0.830284543162 1 2 1 11 2103 0213 0132 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 -3 0 2 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 0.537003122385 0.970210347283 2 12 10 4 0132 0132 3120 1023 1 1 1 1 0 -1 1 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 -3 3 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.778233419622 0.517649990701 9 8 2 12 1023 0213 0132 2103 1 1 1 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 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528354940986 0.543548954684 4 3 7 12 2103 0132 0213 1302 1 1 1 1 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 0 0 0 0 0 2 -2 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.908052800645 1.001579951914 11 7 11 3 3120 1023 2103 0132 1 0 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 -1 1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.825725424484 0.710559668796 4 12 6 11 0132 1023 3120 3201 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 -1 0 0 1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579266590144 0.900941549408 9 10 5 9 2103 2310 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 -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 0 0 0 0 0.304193785905 0.598760578726 10 6 8 7 1023 0132 2031 2103 1 1 1 1 0 1 -1 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 3 -3 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533134333177 0.912584826007 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_12']), 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_12']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_7'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_0110_12'], 's_0_10' : 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' : d['c_0101_11'], '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_1100_8' : d['c_0101_12'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : negation(d['c_0110_12']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_0110_12']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : negation(d['c_0110_12']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_0110_7'], 'c_1010_8' : d['c_0110_7'], '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_7']), '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_7'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0101_3'], 'c_0110_10' : d['c_0011_7'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_7'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0011_7'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0011_5']})} 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_11, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_3, c_0110_12, c_0110_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 3075992385988951025901534067457/404407886707652983108050880*c_1001_\ 0^12 + 80445089635892774804575650607397/202203943353826491554025440\ 0*c_1001_0^11 + 1300904518718297719530732822110433/1011019716769132\ 4577701272000*c_1001_0^10 + 3036256225193295360923657820619809/1011\ 0197167691324577701272000*c_1001_0^9 + 5288842570330351305366364408040331/10110197167691324577701272000*c_\ 1001_0^8 + 918159689726589178328114462630497/1263774645961415572212\ 659000*c_1001_0^7 + 4103563223992215662729640053100293/505509858384\ 5662288850636000*c_1001_0^6 + 3875243761818156793006967706396293/50\ 55098583845662288850636000*c_1001_0^5 + 1493022845469206187673494242613541/2527549291922831144425318000*c_1\ 001_0^4 + 455641407716224543851432970541067/12637746459614155722126\ 59000*c_1001_0^3 + 697901502404432548997165240443473/50550985838456\ 62288850636000*c_1001_0^2 + 269937720421532349062069821651479/10110\ 197167691324577701272000*c_1001_0 - 96015516215986871528220175124563/10110197167691324577701272000, c_0011_0 - 1, c_0011_11 - 7869883042821450/6494222731166789*c_1001_0^12 - 50154331890167240/6494222731166789*c_1001_0^11 - 178625832913599182/6494222731166789*c_1001_0^10 - 458732625398426330/6494222731166789*c_1001_0^9 - 889494371860689079/6494222731166789*c_1001_0^8 - 1366806438013872076/6494222731166789*c_1001_0^7 - 1717987208633253178/6494222731166789*c_1001_0^6 - 1804444404241905326/6494222731166789*c_1001_0^5 - 1603239421915070468/6494222731166789*c_1001_0^4 - 1172020893063377203/6494222731166789*c_1001_0^3 - 671362495455033523/6494222731166789*c_1001_0^2 - 270053989268110410/6494222731166789*c_1001_0 - 59247341764032247/6494222731166789, c_0011_3 + 13116619142952250/6494222731166789*c_1001_0^12 + 79056710643741250/6494222731166789*c_1001_0^11 + 283914020930012270/6494222731166789*c_1001_0^10 + 733028049426307123/6494222731166789*c_1001_0^9 + 1434219205543265274/6494222731166789*c_1001_0^8 + 2244087236968893008/6494222731166789*c_1001_0^7 + 2856718834360679717/6494222731166789*c_1001_0^6 + 3050209805504723250/6494222731166789*c_1001_0^5 + 2737533905715955469/6494222731166789*c_1001_0^4 + 2041856716147694702/6494222731166789*c_1001_0^3 + 1189491556922433801/6494222731166789*c_1001_0^2 + 497201354949506710/6494222731166789*c_1001_0 + 108878031774399475/6494222731166789, c_0011_5 - 16213969300989750/6494222731166789*c_1001_0^12 - 101082006081613350/6494222731166789*c_1001_0^11 - 368280019074231215/6494222731166789*c_1001_0^10 - 960085878767590494/6494222731166789*c_1001_0^9 - 1896348877958147897/6494222731166789*c_1001_0^8 - 2982883953047564428/6494222731166789*c_1001_0^7 - 3812081128564721189/6494222731166789*c_1001_0^6 - 4076742452233678321/6494222731166789*c_1001_0^5 - 3662857575169326023/6494222731166789*c_1001_0^4 - 2728598333548402976/6494222731166789*c_1001_0^3 - 1587401700304394479/6494222731166789*c_1001_0^2 - 653367457426290172/6494222731166789*c_1001_0 - 140924953846416118/6494222731166789, c_0011_7 - 17342913528736225/6494222731166789*c_1001_0^12 - 98350476584214070/6494222731166789*c_1001_0^11 - 337069387915618766/6494222731166789*c_1001_0^10 - 834195254727117446/6494222731166789*c_1001_0^9 - 1558246826969292521/6494222731166789*c_1001_0^8 - 2327128783715870578/6494222731166789*c_1001_0^7 - 2825548395057978960/6494222731166789*c_1001_0^6 - 2885168541736696885/6494222731166789*c_1001_0^5 - 2460377061554015393/6494222731166789*c_1001_0^4 - 1726595837481569590/6494222731166789*c_1001_0^3 - 907436359442976971/6494222731166789*c_1001_0^2 - 331701034810448333/6494222731166789*c_1001_0 - 45676189062280662/6494222731166789, c_0101_0 - 1, c_0101_10 - 11391112456782325/6494222731166789*c_1001_0^12 - 51652806503830740/6494222731166789*c_1001_0^11 - 155222277361671437/6494222731166789*c_1001_0^10 - 329324193747020597/6494222731166789*c_1001_0^9 - 502914775927699185/6494222731166789*c_1001_0^8 - 594276501977484021/6494222731166789*c_1001_0^7 - 500576005797284406/6494222731166789*c_1001_0^6 - 309320328414634663/6494222731166789*c_1001_0^5 - 35035193704972384/6494222731166789*c_1001_0^4 + 157555798688808062/6494222731166789*c_1001_0^3 + 280300345793452018/6494222731166789*c_1001_0^2 + 201472416866793367/6494222731166789*c_1001_0 + 109532450884829525/6494222731166789, c_0101_11 + 3097350158037500/6494222731166789*c_1001_0^12 + 22025295437872100/6494222731166789*c_1001_0^11 + 84365998144218945/6494222731166789*c_1001_0^10 + 227057829341283371/6494222731166789*c_1001_0^9 + 462129672414882623/6494222731166789*c_1001_0^8 + 738796716078671420/6494222731166789*c_1001_0^7 + 955362294204041472/6494222731166789*c_1001_0^6 + 1026532646728955071/6494222731166789*c_1001_0^5 + 925323669453370554/6494222731166789*c_1001_0^4 + 686741617400708274/6494222731166789*c_1001_0^3 + 397910143381960678/6494222731166789*c_1001_0^2 + 156166102476783462/6494222731166789*c_1001_0 + 32046922072016643/6494222731166789, c_0101_12 + 8405435654151900/6494222731166789*c_1001_0^12 + 51621234683267730/6494222731166789*c_1001_0^11 + 185177381769558069/6494222731166789*c_1001_0^10 + 475897850621938092/6494222731166789*c_1001_0^9 + 926583072156182510/6494222731166789*c_1001_0^8 + 1435607787006380339/6494222731166789*c_1001_0^7 + 1810408401111861658/6494222731166789*c_1001_0^6 + 1916300644662767371/6494222731166789*c_1001_0^5 + 1704303417049619200/6494222731166789*c_1001_0^4 + 1261375128976766730/6494222731166789*c_1001_0^3 + 726609856176387462/6494222731166789*c_1001_0^2 + 300109560433130126/6494222731166789*c_1001_0 + 69193885091080538/6494222731166789, c_0101_3 + 13116619142952250/6494222731166789*c_1001_0^12 + 79056710643741250/6494222731166789*c_1001_0^11 + 283914020930012270/6494222731166789*c_1001_0^10 + 733028049426307123/6494222731166789*c_1001_0^9 + 1434219205543265274/6494222731166789*c_1001_0^8 + 2244087236968893008/6494222731166789*c_1001_0^7 + 2856718834360679717/6494222731166789*c_1001_0^6 + 3050209805504723250/6494222731166789*c_1001_0^5 + 2737533905715955469/6494222731166789*c_1001_0^4 + 2041856716147694702/6494222731166789*c_1001_0^3 + 1189491556922433801/6494222731166789*c_1001_0^2 + 490707132218339921/6494222731166789*c_1001_0 + 108878031774399475/6494222731166789, c_0110_12 - 3597826856835425/6494222731166789*c_1001_0^12 - 24339056233510310/6494222731166789*c_1001_0^11 - 88385636947068453/6494222731166789*c_1001_0^10 - 226355738046961808/6494222731166789*c_1001_0^9 - 436637886815507636/6494222731166789*c_1001_0^8 - 657053594447675726/6494222731166789*c_1001_0^7 - 797934213886850010/6494222731166789*c_1001_0^6 - 810069162080555372/6494222731166789*c_1001_0^5 - 688942044045835109/6494222731166789*c_1001_0^4 - 478474110520942193/6494222731166789*c_1001_0^3 - 246642120779842212/6494222731166789*c_1001_0^2 - 81027696895269977/6494222731166789*c_1001_0 - 9950330885895421/6494222731166789, c_0110_7 + 15228095763613200/6494222731166789*c_1001_0^12 + 94069395045369565/6494222731166789*c_1001_0^11 + 337727568135538707/6494222731166789*c_1001_0^10 + 871434626572135121/6494222731166789*c_1001_0^9 + 1704894421416777057/6494222731166789*c_1001_0^8 + 2656852042707804193/6494222731166789*c_1001_0^7 + 3378425594401710884/6494222731166789*c_1001_0^6 + 3604073813983814205/6494222731166789*c_1001_0^5 + 3231939052758257987/6494222731166789*c_1001_0^4 + 2407214911248249302/6494222731166789*c_1001_0^3 + 1395862562883696638/6494222731166789*c_1001_0^2 + 579113920231948327/6494222731166789*c_1001_0 + 129404096204725825/6494222731166789, c_1001_0^13 + 31/5*c_1001_0^12 + 579/25*c_1001_0^11 + 311/5*c_1001_0^10 + 3197/25*c_1001_0^9 + 5294/25*c_1001_0^8 + 7194/25*c_1001_0^7 + 8254/25*c_1001_0^6 + 8008/25*c_1001_0^5 + 6592/25*c_1001_0^4 + 4434/25*c_1001_0^3 + 2363/25*c_1001_0^2 + 35*c_1001_0 + 202/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.540 Total time: 0.740 seconds, Total memory usage: 32.09MB