Magma V2.19-8 Wed Aug 21 2013 01:05:05 on localhost [Seed = 3313753439] Type ? for help. Type -D to quit. Loading file "L14n25079__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25079 geometric_solution 11.44035443 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 0 0 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 -1 0 1 -1 0 0 1 -4 4 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816442899625 0.971858016286 0 5 3 6 0132 0132 2103 0132 1 0 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 1 0 0 -1 1 0 0 -1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.338573600928 0.750305579665 6 0 8 7 1023 0132 0132 0132 1 1 1 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 1 0 -1 0 0 0 0 1 -1 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431441878272 0.854139261390 1 9 10 0 2103 0132 0132 0132 1 0 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 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.032786593669 1.450919333973 7 8 0 10 3201 3201 0132 0132 1 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 0 0 0 0 0 0 0 -3 -1 4 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 -0.545373062148 0.558659518043 9 1 11 11 0213 0132 0132 2310 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 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338830191421 0.980698169989 12 2 1 12 0132 1023 0132 2103 1 0 1 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 0 0 -1 0 1 0 0 -1 0 1 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510069055924 0.595943110217 10 12 2 4 0213 0213 0132 2310 1 1 0 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 -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 0.063944845762 0.635254098571 11 11 4 2 1023 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427404487241 2.052443974935 5 3 12 10 0213 0132 0213 3201 1 1 1 1 0 0 0 0 -1 0 1 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 3 0 -3 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199780435768 0.880697946926 7 9 4 3 0213 2310 0132 0132 1 0 1 1 0 -1 1 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 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.036183399817 0.694383219925 5 8 8 5 3201 1023 2310 0132 1 1 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 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 0 0 0 0 -0.180185635183 0.653642092724 6 9 7 6 0132 0213 0213 2103 1 0 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 1 -1 1 0 -1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510069055924 0.595943110217 ==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_11'], 'c_1001_12' : d['c_1001_0'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_8']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : negation(d['c_0101_8']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : negation(d['c_0101_11']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_7'], 's_2_0' : negation(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' : 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' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_0'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : negation(d['c_0101_0']), 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_4'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_7']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0101_8']), 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0101_8']), 'c_1100_8' : d['c_0011_4'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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_0011_7']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(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' : negation(d['c_0011_3']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0011_7'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), '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_0011_0'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_2'], '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_0011_10'], 'c_0110_5' : negation(d['c_0101_11']), 'c_0110_4' : d['c_0011_7'], 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0011_7']})} 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_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_8, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 10865182890699813928729/1393448345314927471872*c_1100_0^13 + 114811640523911173155367/1393448345314927471872*c_1100_0^12 + 390146094356317941829825/1393448345314927471872*c_1100_0^11 + 31219511182151629003601/116120695442910622656*c_1100_0^10 - 330863644416675259600699/1393448345314927471872*c_1100_0^9 - 100066868735127319070171/232241390885821245312*c_1100_0^8 + 583980517791487438661105/1393448345314927471872*c_1100_0^7 + 408171252906958856456803/696724172657463735936*c_1100_0^6 - 340931853753020104827283/696724172657463735936*c_1100_0^5 - 96884437327596898771661/464482781771642490624*c_1100_0^4 + 420905912752912915753213/1393448345314927471872*c_1100_0^3 - 31580670258137358092729/154827593923880830208*c_1100_0^2 + 10362619598792236978191/154827593923880830208*c_1100_0 - 14002432635414462059701/1393448345314927471872, c_0011_0 - 1, c_0011_10 - 9957149821/8072500703*c_1100_0^13 - 206200869989/16145001406*c_1100_0^12 - 334706598668/8072500703*c_1100_0^11 - 523590166929/16145001406*c_1100_0^10 + 797976000635/16145001406*c_1100_0^9 + 522486199408/8072500703*c_1100_0^8 - 644460669814/8072500703*c_1100_0^7 - 1348554889821/16145001406*c_1100_0^6 + 1541373629323/16145001406*c_1100_0^5 + 370077162871/16145001406*c_1100_0^4 - 420706231114/8072500703*c_1100_0^3 + 641036242843/16145001406*c_1100_0^2 - 151304250882/8072500703*c_1100_0 + 44236880191/16145001406, c_0011_11 + 59707033409/32290002812*c_1100_0^13 + 620306794155/32290002812*c_1100_0^12 + 2031150356309/32290002812*c_1100_0^11 + 417722077997/8072500703*c_1100_0^10 - 2206147885119/32290002812*c_1100_0^9 - 1497577639775/16145001406*c_1100_0^8 + 3829246191589/32290002812*c_1100_0^7 + 2010750471195/16145001406*c_1100_0^6 - 2229412538163/16145001406*c_1100_0^5 - 935718530187/32290002812*c_1100_0^4 + 2535193005561/32290002812*c_1100_0^3 - 1970685538505/32290002812*c_1100_0^2 + 881976376135/32290002812*c_1100_0 - 120964800725/32290002812, c_0011_3 + 63003243205/32290002812*c_1100_0^13 + 646821954353/32290002812*c_1100_0^12 + 2059195590413/32290002812*c_1100_0^11 + 729784355867/16145001406*c_1100_0^10 - 2686365013525/32290002812*c_1100_0^9 - 1511908623055/16145001406*c_1100_0^8 + 4531710243341/32290002812*c_1100_0^7 + 992160160095/8072500703*c_1100_0^6 - 1357218763835/8072500703*c_1100_0^5 - 743619246489/32290002812*c_1100_0^4 + 3019140510201/32290002812*c_1100_0^3 - 2267887134131/32290002812*c_1100_0^2 + 1029787356303/32290002812*c_1100_0 - 150522343027/32290002812, c_0011_4 + 53327059527/16145001406*c_1100_0^13 + 549944904091/16145001406*c_1100_0^12 + 1770576590159/16145001406*c_1100_0^11 + 670383723299/8072500703*c_1100_0^10 - 2131449655955/16145001406*c_1100_0^9 - 1288669502561/8072500703*c_1100_0^8 + 3660074765943/16145001406*c_1100_0^7 + 1706627720311/8072500703*c_1100_0^6 - 2160992029591/8072500703*c_1100_0^5 - 672103355053/16145001406*c_1100_0^4 + 2401630892997/16145001406*c_1100_0^3 - 1858668015061/16145001406*c_1100_0^2 + 885060144417/16145001406*c_1100_0 - 150338409507/16145001406, c_0011_7 + 1023893309/909577544*c_1100_0^13 + 10713333391/909577544*c_1100_0^12 + 35652203501/909577544*c_1100_0^11 + 3951133607/113697193*c_1100_0^10 - 34163552667/909577544*c_1100_0^9 - 25757472737/454788772*c_1100_0^8 + 63203714933/909577544*c_1100_0^7 + 36251782133/454788772*c_1100_0^6 - 35897087281/454788772*c_1100_0^5 - 19563374591/909577544*c_1100_0^4 + 43631098473/909577544*c_1100_0^3 - 30237435361/909577544*c_1100_0^2 + 12984118363/909577544*c_1100_0 - 1850621341/909577544, c_0101_0 - 1, c_0101_1 - 1252120291/909577544*c_1100_0^13 - 13007278885/909577544*c_1100_0^12 - 42623237507/909577544*c_1100_0^11 - 8856753865/227394386*c_1100_0^10 + 44817564961/909577544*c_1100_0^9 + 30563349187/454788772*c_1100_0^8 - 79740299899/909577544*c_1100_0^7 - 40993666013/454788772*c_1100_0^6 + 46421467825/454788772*c_1100_0^5 + 17517534965/909577544*c_1100_0^4 - 52159624455/909577544*c_1100_0^3 + 42363362859/909577544*c_1100_0^2 - 19527501445/909577544*c_1100_0 + 3087958103/909577544, c_0101_11 + 93699283/32290002812*c_1100_0^13 + 6382817309/32290002812*c_1100_0^12 + 59257206347/32290002812*c_1100_0^11 + 46247679495/8072500703*c_1100_0^10 + 140579265355/32290002812*c_1100_0^9 - 107825960097/16145001406*c_1100_0^8 - 256637304705/32290002812*c_1100_0^7 + 196844611479/16145001406*c_1100_0^6 + 189563176655/16145001406*c_1100_0^5 - 445578181049/32290002812*c_1100_0^4 - 104500417489/32290002812*c_1100_0^3 + 267673742949/32290002812*c_1100_0^2 - 145264137475/32290002812*c_1100_0 + 64488506521/32290002812, c_0101_2 - 7460600707/32290002812*c_1100_0^13 - 95417473603/32290002812*c_1100_0^12 - 443106161011/32290002812*c_1100_0^11 - 426827598843/16145001406*c_1100_0^10 - 356266857617/32290002812*c_1100_0^9 + 435812624237/16145001406*c_1100_0^8 + 449234166905/32290002812*c_1100_0^7 - 365957381475/8072500703*c_1100_0^6 - 182213430428/8072500703*c_1100_0^5 + 1222635963039/32290002812*c_1100_0^4 + 74064656513/32290002812*c_1100_0^3 - 432139214535/32290002812*c_1100_0^2 + 388474531059/32290002812*c_1100_0 - 152740015979/32290002812, c_0101_8 - 4173955755/8072500703*c_1100_0^13 - 81357738477/16145001406*c_1100_0^12 - 113815714328/8072500703*c_1100_0^11 - 44898349565/16145001406*c_1100_0^10 + 479641499645/16145001406*c_1100_0^9 + 120476755620/8072500703*c_1100_0^8 - 410536243420/8072500703*c_1100_0^7 - 238880021101/16145001406*c_1100_0^6 + 1033897123937/16145001406*c_1100_0^5 - 220281508705/16145001406*c_1100_0^4 - 246693860902/8072500703*c_1100_0^3 + 500988598193/16145001406*c_1100_0^2 - 132764435725/8072500703*c_1100_0 + 63745874863/16145001406, c_1001_0 - 11971595696/8072500703*c_1100_0^13 - 244229353141/16145001406*c_1100_0^12 - 383066681839/8072500703*c_1100_0^11 - 501632205159/16145001406*c_1100_0^10 + 1058044129911/16145001406*c_1100_0^9 + 532855472826/8072500703*c_1100_0^8 - 917353920763/8072500703*c_1100_0^7 - 1408297626411/16145001406*c_1100_0^6 + 2197809636937/16145001406*c_1100_0^5 + 148969976977/16145001406*c_1100_0^4 - 612437658240/8072500703*c_1100_0^3 + 925136984613/16145001406*c_1100_0^2 - 215420639816/8072500703*c_1100_0 + 73186827817/16145001406, c_1100_0^14 + 10*c_1100_0^13 + 30*c_1100_0^12 + 15*c_1100_0^11 - 47*c_1100_0^10 - 35*c_1100_0^9 + 83*c_1100_0^8 + 41*c_1100_0^7 - 100*c_1100_0^6 + 15*c_1100_0^5 + 48*c_1100_0^4 - 50*c_1100_0^3 + 28*c_1100_0^2 - 8*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.540 Total time: 0.750 seconds, Total memory usage: 32.09MB