Magma V2.19-8 Tue Aug 20 2013 16:16:06 on localhost [Seed = 307465951] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0354 geometric_solution 4.38107541 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 0 3.622039011688 0.755761516721 0 1 1 0 0132 3201 2310 3201 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 0 0 0 -0.517124652940 0.053375903089 0 3 3 0 3201 0132 3201 0132 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.413666873483 0.401201447850 2 2 4 5 2310 0132 0132 0132 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 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 0.190526945728 0.791237875976 6 5 5 3 0132 3012 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.091913777533 0.780348413809 4 6 3 4 1230 0132 0132 3012 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 -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 1.091913777533 0.780348413809 4 5 6 6 0132 0132 1230 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769330425898 0.793065437109 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_2_0' : d['1'], 's_2_1' : negation(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_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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : 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_1100_6' : d['c_0101_4'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} 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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 237290798041101750312/136770022519394213*c_0101_4^17 + 2266929979089788045047/136770022519394213*c_0101_4^16 - 10745292714740463229104/136770022519394213*c_0101_4^15 + 23260645379475100359727/136770022519394213*c_0101_4^14 + 2351800547292887031557/136770022519394213*c_0101_4^13 - 53111670790137210829981/136770022519394213*c_0101_4^12 + 107215211226225891097331/136770022519394213*c_0101_4^11 + 13700420945354323158420/136770022519394213*c_0101_4^10 - 224361223952332165035257/136770022519394213*c_0101_4^9 - 20869894440447203025191/136770022519394213*c_0101_4^8 + 209749149930442380565291/136770022519394213*c_0101_4^7 + 68141117080138807638335/136770022519394213*c_0101_4^6 - 100840039630674950861259/136770022519394213*c_0101_4^5 - 57637447178090588896917/136770022519394213*c_0101_4^4 + 17523066386911741484552/136770022519394213*c_0101_4^3 + 17328748042783463389717/136770022519394213*c_0101_4^2 + 1988631893129508226664/136770022519394213*c_0101_4 - 450189839231407078634/136770022519394213, c_0011_0 - 1, c_0011_2 + 3116973444990760333/136770022519394213*c_0101_4^17 - 29946920382781482839/136770022519394213*c_0101_4^16 + 142869945528090687680/136770022519394213*c_0101_4^15 - 314284260264675010312/136770022519394213*c_0101_4^14 - 8882409079937778947/136770022519394213*c_0101_4^13 + 685873540220461186881/136770022519394213*c_0101_4^12 - 1439771127888639061892/136770022519394213*c_0101_4^11 - 83004610282884208200/136770022519394213*c_0101_4^10 + 2897043885187306530651/136770022519394213*c_0101_4^9 + 141687947717067347850/136770022519394213*c_0101_4^8 - 2683800898951101661503/136770022519394213*c_0101_4^7 - 786120073041568160156/136770022519394213*c_0101_4^6 + 1300952432152069745807/136770022519394213*c_0101_4^5 + 696579942630017933532/136770022519394213*c_0101_4^4 - 231877932976283083040/136770022519394213*c_0101_4^3 - 212044925030261137552/136770022519394213*c_0101_4^2 - 23672639070343813866/136770022519394213*c_0101_4 + 5219965962093935525/136770022519394213, c_0011_4 - 1987371563003919558/136770022519394213*c_0101_4^17 + 18995213508902877724/136770022519394213*c_0101_4^16 - 90097139828533551685/136770022519394213*c_0101_4^15 + 195384832797834431430/136770022519394213*c_0101_4^14 + 18001747570979601864/136770022519394213*c_0101_4^13 - 442911485942391443458/136770022519394213*c_0101_4^12 + 899027865221415609490/136770022519394213*c_0101_4^11 + 107495145651537093963/136770022519394213*c_0101_4^10 - 1870444860722822420377/136770022519394213*c_0101_4^9 - 170682861688015726758/136770022519394213*c_0101_4^8 + 1744602834380545095691/136770022519394213*c_0101_4^7 + 569745174422254045505/136770022519394213*c_0101_4^6 - 837289287154438371660/136770022519394213*c_0101_4^5 - 480733797759175745536/136770022519394213*c_0101_4^4 + 143607422677406242551/136770022519394213*c_0101_4^3 + 144142020008188973800/136770022519394213*c_0101_4^2 + 17175055341372612673/136770022519394213*c_0101_4 - 3628096922589747762/136770022519394213, c_0101_0 + 3825403088931919539/136770022519394213*c_0101_4^17 - 36472359947431420817/136770022519394213*c_0101_4^16 + 172494475594538678668/136770022519394213*c_0101_4^15 - 371337444126438665444/136770022519394213*c_0101_4^14 - 46807984409552386657/136770022519394213*c_0101_4^13 + 859887660628858713459/136770022519394213*c_0101_4^12 - 1714678775432293051085/136770022519394213*c_0101_4^11 - 259589401763701518529/136770022519394213*c_0101_4^10 + 3631570642828674014512/136770022519394213*c_0101_4^9 + 394902679378458524594/136770022519394213*c_0101_4^8 - 3399162299600834383596/136770022519394213*c_0101_4^7 - 1149160565886846839757/136770022519394213*c_0101_4^6 + 1624450830884304728087/136770022519394213*c_0101_4^5 + 954985379750089617118/136770022519394213*c_0101_4^4 - 275557672866177903602/136770022519394213*c_0101_4^3 - 284638251855678862776/136770022519394213*c_0101_4^2 - 34530598247158258671/136770022519394213*c_0101_4 + 6967727879356003797/136770022519394213, c_0101_1 - 57156934897770777/136770022519394213*c_0101_4^17 + 442891307597018269/136770022519394213*c_0101_4^16 - 1543257533433911607/136770022519394213*c_0101_4^15 + 333908798461617451/136770022519394213*c_0101_4^14 + 13669558654736365675/136770022519394213*c_0101_4^13 - 19097342244875337888/136770022519394213*c_0101_4^12 + 5853496887266827290/136770022519394213*c_0101_4^11 + 61480057795314771956/136770022519394213*c_0101_4^10 - 80899533188996971694/136770022519394213*c_0101_4^9 - 89225659256222306476/136770022519394213*c_0101_4^8 + 89967555324806101132/136770022519394213*c_0101_4^7 + 88127362717455977634/136770022519394213*c_0101_4^6 - 34710480594985119403/136770022519394213*c_0101_4^5 - 53668296062696043267/136770022519394213*c_0101_4^4 + 777513724731431954/136770022519394213*c_0101_4^3 + 14012460566087537342/136770022519394213*c_0101_4^2 + 2699970750815684055/136770022519394213*c_0101_4 - 359108213106635853/136770022519394213, c_0101_3 + 2003366777599828611/136770022519394213*c_0101_4^17 - 19160783950773107690/136770022519394213*c_0101_4^16 + 90959511850989973557/136770022519394213*c_0101_4^15 - 197694414700466766550/136770022519394213*c_0101_4^14 - 16072066143589849144/136770022519394213*c_0101_4^13 + 444449971003985828076/136770022519394213*c_0101_4^12 - 907552044270359385189/136770022519394213*c_0101_4^11 - 100958974817379799336/136770022519394213*c_0101_4^10 + 1878244590440763944767/136770022519394213*c_0101_4^9 + 165306670313872230974/136770022519394213*c_0101_4^8 - 1751997232222130862311/136770022519394213*c_0101_4^7 - 565558329724385308023/136770022519394213*c_0101_4^6 + 840912279548934199411/136770022519394213*c_0101_4^5 + 479197871214775060423/136770022519394213*c_0101_4^4 - 144536508902964232712/136770022519394213*c_0101_4^3 - 143896138639365678064/136770022519394213*c_0101_4^2 - 17083009811092665328/136770022519394213*c_0101_4 + 3531320336083658592/136770022519394213, c_0101_4^18 - 9*c_0101_4^17 + 40*c_0101_4^16 - 73*c_0101_4^15 - 64*c_0101_4^14 + 218*c_0101_4^13 - 328*c_0101_4^12 - 307*c_0101_4^11 + 912*c_0101_4^10 + 611*c_0101_4^9 - 832*c_0101_4^8 - 776*c_0101_4^7 + 263*c_0101_4^6 + 477*c_0101_4^5 + 62*c_0101_4^4 - 113*c_0101_4^3 - 49*c_0101_4^2 - 3*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB