Magma V2.19-8 Tue Aug 20 2013 16:18:51 on localhost [Seed = 3069651912] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3015 geometric_solution 6.18977418 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3201 0 0 0 0 0 -1 0 1 0 0 1 -1 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.933804154213 0.430715082963 0 2 5 4 0132 2031 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639090067179 0.745446426373 1 0 6 5 1302 0132 0132 2310 0 0 0 0 0 1 0 -1 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 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 0.639090067179 0.745446426373 4 0 6 0 0132 2310 2310 0132 0 0 0 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 0 0 0 0 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 0.683062359924 0.164078829914 3 6 1 5 0132 2031 0132 3201 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 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 0.715345701647 0.941259294158 2 4 6 1 3201 2310 1023 0132 0 0 0 0 0 -1 1 0 1 0 -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 -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 0.181431716956 0.842122811899 4 3 5 2 1302 3201 1023 0132 0 0 0 0 0 -1 1 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 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 0.715345701647 0.941259294158 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(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_6' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : 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_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_1001_2']), 'c_1001_2' : d['c_1001_2'], '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_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_1001_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 4574268019811957195775975/370414209413149399396409*c_1001_2^15 - 101458240644605615100537787/740828418826298798792818*c_1001_2^14 - 25640182903408388576999840/52916315630449914199487*c_1001_2^13 - 528393461233734035909831961/740828418826298798792818*c_1001_2^12 - 350803904549666107970693315/740828418826298798792818*c_1001_2^11 + 53642296419016325262723386/370414209413149399396409*c_1001_2^10 + 1026247529837265526185442151/740828418826298798792818*c_1001_2^9 + 78790540554463864470076438/52916315630449914199487*c_1001_2^8 - 41351686360170925202888883/740828418826298798792818*c_1001_2^7 - 46464470732911901494443601/52916315630449914199487*c_1001_2^6 - 636102527898753833589906222/370414209413149399396409*c_1001_2^5 - 55430986210056628361192276/370414209413149399396409*c_1001_2^4 - 66412868247001993814646770/370414209413149399396409*c_1001_2^3 + 482807287631259791810145013/740828418826298798792818*c_1001_2^2 + 115842588408630736842142587/740828418826298798792818*c_1001_2 + 51408325324852022740718191/370414209413149399396409, c_0011_0 - 1, c_0011_3 + 65660648273625240000/444674921264284993273*c_1001_2^15 + 712920197851439916309/444674921264284993273*c_1001_2^14 + 2391209112026836110815/444674921264284993273*c_1001_2^13 + 3031406105085641965513/444674921264284993273*c_1001_2^12 + 1170509014081937713140/444674921264284993273*c_1001_2^11 - 1702969794245756334544/444674921264284993273*c_1001_2^10 - 6994616802957297630184/444674921264284993273*c_1001_2^9 - 5711394222819906798258/444674921264284993273*c_1001_2^8 + 3414369553151404795216/444674921264284993273*c_1001_2^7 + 4767602212284782855021/444674921264284993273*c_1001_2^6 + 6228972873603820671465/444674921264284993273*c_1001_2^5 - 1553741017172868165693/444674921264284993273*c_1001_2^4 + 476572264281990775360/444674921264284993273*c_1001_2^3 - 2251800406483301159238/444674921264284993273*c_1001_2^2 - 221148604826918735609/444674921264284993273*c_1001_2 - 280970627562932686214/444674921264284993273, c_0011_5 + 44302031201553259539/444674921264284993273*c_1001_2^15 + 523474902060502508965/444674921264284993273*c_1001_2^14 + 2086520768940629333922/444674921264284993273*c_1001_2^13 + 3720761028368585306647/444674921264284993273*c_1001_2^12 + 3149498969198121732184/444674921264284993273*c_1001_2^11 - 86824707012102462139/444674921264284993273*c_1001_2^10 - 6306068562190717426301/444674921264284993273*c_1001_2^9 - 9607210741726494581374/444674921264284993273*c_1001_2^8 - 3175654021333345978262/444674921264284993273*c_1001_2^7 + 4741482496718146250152/444674921264284993273*c_1001_2^6 + 9408394077167896222946/444674921264284993273*c_1001_2^5 + 5032297840859233220042/444674921264284993273*c_1001_2^4 - 363199082633811363089/444674921264284993273*c_1001_2^3 - 3103097209614084085339/444674921264284993273*c_1001_2^2 - 2308078730427440850411/444674921264284993273*c_1001_2 - 710795419823725639017/444674921264284993273, c_0101_0 + c_1001_2, c_0101_1 + 49178334052269186720/444674921264284993273*c_1001_2^15 + 602139409409641260416/444674921264284993273*c_1001_2^14 + 2548903420967780935569/444674921264284993273*c_1001_2^13 + 4945933953950997117800/444674921264284993273*c_1001_2^12 + 4662956657716546639385/444674921264284993273*c_1001_2^11 + 657351465410339076277/444674921264284993273*c_1001_2^10 - 7031107935344447144156/444674921264284993273*c_1001_2^9 - 12356341877775441911622/444674921264284993273*c_1001_2^8 - 5204701271012974201408/444674921264284993273*c_1001_2^7 + 6063641371054385401970/444674921264284993273*c_1001_2^6 + 11594086611719911922347/444674921264284993273*c_1001_2^5 + 7154032512633235205103/444674921264284993273*c_1001_2^4 - 1055332653960616011941/444674921264284993273*c_1001_2^3 - 3144247226135860872071/444674921264284993273*c_1001_2^2 - 2866322851565854043309/444674921264284993273*c_1001_2 - 765637871006388290301/444674921264284993273, c_0101_3 - 23503907649712564836/444674921264284993273*c_1001_2^15 - 261501317179359807627/444674921264284993273*c_1001_2^14 - 908499613938788971661/444674921264284993273*c_1001_2^13 - 1135883068153302807201/444674921264284993273*c_1001_2^12 - 59707359268541733215/444674921264284993273*c_1001_2^11 + 1505623052635187385589/444674921264284993273*c_1001_2^10 + 3423621644489673929720/444674921264284993273*c_1001_2^9 + 2784877502536679964321/444674921264284993273*c_1001_2^8 - 2012675363024620298720/444674921264284993273*c_1001_2^7 - 3619478333976845110382/444674921264284993273*c_1001_2^6 - 2438466349617771221942/444674921264284993273*c_1001_2^5 + 1018331787949624979213/444674921264284993273*c_1001_2^4 + 1565475524064137950609/444674921264284993273*c_1001_2^3 + 530069626458248722620/444674921264284993273*c_1001_2^2 + 538613038837799812556/444674921264284993273*c_1001_2 - 158677691093299590686/444674921264284993273, c_1001_2^16 + 34/3*c_1001_2^15 + 42*c_1001_2^14 + 68*c_1001_2^13 + 164/3*c_1001_2^12 + 1/3*c_1001_2^11 - 114*c_1001_2^10 - 448/3*c_1001_2^9 - 94/3*c_1001_2^8 + 203/3*c_1001_2^7 + 160*c_1001_2^6 + 149/3*c_1001_2^5 + 71/3*c_1001_2^4 - 52*c_1001_2^3 - 74/3*c_1001_2^2 - 17*c_1001_2 - 7/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB