Magma V2.19-8 Tue Aug 20 2013 23:50:38 on localhost [Seed = 1864959049] Type ? for help. Type -D to quit. Loading file "L12n632__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n632 geometric_solution 10.83636848 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 2310 0132 1 1 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 -1 0 0 1 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649245457371 0.452785180825 0 0 2 3 0132 3201 2103 2103 1 1 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 0 0 0 -2 0 2 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 1.069232880349 1.380260963820 1 0 5 4 2103 0132 0132 0132 1 1 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 -1 1 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484706681109 0.775075793860 5 4 0 1 0132 0132 0132 2103 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 -1 0 1 0 2 0 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484706681109 0.775075793860 6 3 2 7 0132 0132 0132 0132 1 1 1 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 0 0 0 0 3 -1 0 -2 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.097459684862 0.673714925677 3 8 9 2 0132 0132 0132 0132 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 1 0 -1 1 0 -1 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 0.097459684862 0.673714925677 4 8 11 10 0132 1023 0132 0132 0 1 1 1 0 -1 0 1 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 2 1 -3 0 0 0 0 3 0 0 -3 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544559264496 1.436700860213 9 11 4 9 1023 1023 0132 0132 1 1 1 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 0 0 0 0 -2 0 0 2 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544559264496 1.436700860213 6 5 11 10 1023 0132 1023 1023 1 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 0 0 0 0 -1 0 1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544559264496 1.436700860213 10 7 7 5 0132 1023 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 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 0 0 0 -1 0 0 1 0 2 0 -2 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544559264496 1.436700860213 9 11 6 8 0132 0132 0132 1023 0 1 1 1 0 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 -1 3 -2 1 0 0 -1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.230681509830 0.608602855952 7 10 8 6 1023 0132 1023 0132 0 1 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 1 0 -1 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.230681509830 0.608602855952 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : d['c_0101_8'], 's_3_11' : d['1'], 's_0_11' : 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_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_1100_2'], 'c_1100_4' : d['c_1100_2'], 'c_1100_7' : d['c_1100_2'], 'c_1100_6' : d['c_1100_10'], 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_1100_2'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : d['c_0101_9'], 'c_1100_8' : negation(d['c_1100_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'], '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_10']), 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : 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_0101_6'], 'c_0110_10' : d['c_0101_9'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_10'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_8'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_1100_2'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_9'], 'c_0110_6' : d['c_0101_10']})} 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_1, c_0101_10, c_0101_11, c_0101_6, c_0101_8, c_0101_9, c_1001_0, c_1100_10, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 160344356709914162303/38281467592037270700*c_1100_2^14 - 46678736453962955999/1740066708728966850*c_1100_2^13 - 847902895258266550283/9570366898009317675*c_1100_2^12 - 2682336875124681369499/12760489197345756900*c_1100_2^11 - 5896865903795410474297/12760489197345756900*c_1100_2^10 - 34515136207237598391953/38281467592037270700*c_1100_2^9 - 943795338034442961044/638024459867287845*c_1100_2^8 - 781610333763171638759/386681490828659300*c_1100_2^7 - 1745588498838440403277/696026683491586740*c_1100_2^6 - 100101177196009487975227/38281467592037270700*c_1100_2^5 - 21388759145003401470817/9570366898009317675*c_1100_2^4 - 19044950870075534803441/9570366898009317675*c_1100_2^3 - 124669026405853174748/100740704189571765*c_1100_2^2 - 23003392201383703174589/38281467592037270700*c_1100_2 - 12169719335755654211291/38281467592037270700, c_0011_0 - 1, c_0011_10 - 763551854838/117825385017043*c_1100_2^14 - 463740332853/10711398637913*c_1100_2^13 - 15606617639501/117825385017043*c_1100_2^12 - 29462934128578/117825385017043*c_1100_2^11 - 47799944638284/117825385017043*c_1100_2^10 - 72332582899492/117825385017043*c_1100_2^9 - 66034928352411/117825385017043*c_1100_2^8 + 3592403862642/10711398637913*c_1100_2^7 + 21206977433620/10711398637913*c_1100_2^6 + 472933404564623/117825385017043*c_1100_2^5 + 691851239342018/117825385017043*c_1100_2^4 + 663928175793841/117825385017043*c_1100_2^3 + 456460861698324/117825385017043*c_1100_2^2 + 320407193667969/117825385017043*c_1100_2 + 83927393529547/117825385017043, c_0011_3 - c_1100_2, c_0101_1 - 3713686010641/117825385017043*c_1100_2^14 - 2039701854838/10711398637913*c_1100_2^13 - 69231324560580/117825385017043*c_1100_2^12 - 153298568347481/117825385017043*c_1100_2^11 - 328215264056407/117825385017043*c_1100_2^10 - 621962626464126/117825385017043*c_1100_2^9 - 962147560627837/117825385017043*c_1100_2^8 - 108682609834217/10711398637913*c_1100_2^7 - 126453193014829/10711398637913*c_1100_2^6 - 1304833704875146/117825385017043*c_1100_2^5 - 907675759773576/117825385017043*c_1100_2^4 - 760278942688832/117825385017043*c_1100_2^3 - 299549690156879/117825385017043*c_1100_2^2 - 17083511051302/117825385017043*c_1100_2 - 3720703234544/117825385017043, c_0101_10 + 28613793/10095568933*c_1100_2^14 + 12249381/10095568933*c_1100_2^13 - 544771016/10095568933*c_1100_2^12 - 2522025036/10095568933*c_1100_2^11 - 6500177923/10095568933*c_1100_2^10 - 14921483863/10095568933*c_1100_2^9 - 30742277617/10095568933*c_1100_2^8 - 53243449731/10095568933*c_1100_2^7 - 74055593182/10095568933*c_1100_2^6 - 90158239183/10095568933*c_1100_2^5 - 89932908461/10095568933*c_1100_2^4 - 64940891391/10095568933*c_1100_2^3 - 52615885468/10095568933*c_1100_2^2 - 28572388312/10095568933*c_1100_2 - 12421737341/10095568933, c_0101_11 - 28613793/10095568933*c_1100_2^14 - 12249381/10095568933*c_1100_2^13 + 544771016/10095568933*c_1100_2^12 + 2522025036/10095568933*c_1100_2^11 + 6500177923/10095568933*c_1100_2^10 + 14921483863/10095568933*c_1100_2^9 + 30742277617/10095568933*c_1100_2^8 + 53243449731/10095568933*c_1100_2^7 + 74055593182/10095568933*c_1100_2^6 + 90158239183/10095568933*c_1100_2^5 + 89932908461/10095568933*c_1100_2^4 + 64940891391/10095568933*c_1100_2^3 + 52615885468/10095568933*c_1100_2^2 + 28572388312/10095568933*c_1100_2 + 12421737341/10095568933, c_0101_6 - 753335237934/117825385017043*c_1100_2^14 - 517718905740/10711398637913*c_1100_2^13 - 22016339713149/117825385017043*c_1100_2^12 - 59005707274803/117825385017043*c_1100_2^11 - 132925049825957/117825385017043*c_1100_2^10 - 263717780370730/117825385017043*c_1100_2^9 - 454805973018465/117825385017043*c_1100_2^8 - 60196587858500/10711398637913*c_1100_2^7 - 73575364302605/10711398637913*c_1100_2^6 - 806922103434855/117825385017043*c_1100_2^5 - 627788826599576/117825385017043*c_1100_2^4 - 381981620694224/117825385017043*c_1100_2^3 - 126245704790089/117825385017043*c_1100_2^2 - 10705871069009/117825385017043*c_1100_2 + 29558040097753/117825385017043, c_0101_8 - 1, c_0101_9 + 753335237934/117825385017043*c_1100_2^14 + 517718905740/10711398637913*c_1100_2^13 + 22016339713149/117825385017043*c_1100_2^12 + 59005707274803/117825385017043*c_1100_2^11 + 132925049825957/117825385017043*c_1100_2^10 + 263717780370730/117825385017043*c_1100_2^9 + 454805973018465/117825385017043*c_1100_2^8 + 60196587858500/10711398637913*c_1100_2^7 + 73575364302605/10711398637913*c_1100_2^6 + 806922103434855/117825385017043*c_1100_2^5 + 627788826599576/117825385017043*c_1100_2^4 + 381981620694224/117825385017043*c_1100_2^3 + 126245704790089/117825385017043*c_1100_2^2 + 10705871069009/117825385017043*c_1100_2 - 29558040097753/117825385017043, c_1001_0 + 3713686010641/117825385017043*c_1100_2^14 + 2039701854838/10711398637913*c_1100_2^13 + 69231324560580/117825385017043*c_1100_2^12 + 153298568347481/117825385017043*c_1100_2^11 + 328215264056407/117825385017043*c_1100_2^10 + 621962626464126/117825385017043*c_1100_2^9 + 962147560627837/117825385017043*c_1100_2^8 + 108682609834217/10711398637913*c_1100_2^7 + 126453193014829/10711398637913*c_1100_2^6 + 1304833704875146/117825385017043*c_1100_2^5 + 907675759773576/117825385017043*c_1100_2^4 + 760278942688832/117825385017043*c_1100_2^3 + 299549690156879/117825385017043*c_1100_2^2 + 17083511051302/117825385017043*c_1100_2 + 3720703234544/117825385017043, c_1100_10 - 3061967308852/117825385017043*c_1100_2^14 - 2047368907091/10711398637913*c_1100_2^13 - 82387053210091/117825385017043*c_1100_2^12 - 208562257643089/117825385017043*c_1100_2^11 - 461308543627779/117825385017043*c_1100_2^10 - 923598221691740/117825385017043*c_1100_2^9 - 1577685254307729/117825385017043*c_1100_2^8 - 204137627433142/10711398637913*c_1100_2^7 - 254786607019773/10711398637913*c_1100_2^6 - 3019241357388941/117825385017043*c_1100_2^5 - 2617624727706682/117825385017043*c_1100_2^4 - 2101242914445293/117825385017043*c_1100_2^3 - 1485732601051879/117825385017043*c_1100_2^2 - 562420492429297/117825385017043*c_1100_2 - 213081806128757/117825385017043, c_1100_2^15 + 7*c_1100_2^14 + 25*c_1100_2^13 + 63*c_1100_2^12 + 141*c_1100_2^11 + 283*c_1100_2^10 + 486*c_1100_2^9 + 702*c_1100_2^8 + 902*c_1100_2^7 + 1004*c_1100_2^6 + 935*c_1100_2^5 + 824*c_1100_2^4 + 608*c_1100_2^3 + 343*c_1100_2^2 + 175*c_1100_2 + 57 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB