Magma V2.19-8 Tue Aug 20 2013 16:16:28 on localhost [Seed = 273779958] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0742 geometric_solution 4.69030420 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 0.473681862128 0.134935968170 2 0 2 0 0132 2310 1023 0132 0 0 0 0 0 0 1 -1 -1 0 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.573652941743 0.421312412479 1 3 1 4 0132 0132 1023 0132 0 0 0 0 0 1 -1 0 1 0 -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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.642990869926 1.752664198153 4 2 5 4 3201 0132 0132 2310 0 0 0 0 0 -1 0 1 -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 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 -0.133458522291 0.617010322638 3 5 2 3 3201 0132 0132 2310 0 0 0 0 0 -1 0 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 1 0 -1 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 -0.133458522291 0.617010322638 6 4 6 3 0132 0132 1023 0132 0 0 0 0 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 -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 2.080170364501 1.363610854615 5 6 5 6 0132 2310 1023 3201 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 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 0.453869771401 0.446780773757 ==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' : 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' : 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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_1001_3'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_1001_3'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 27729573598684740751/4472972354500727364*c_1001_3^11 - 272225577822172816739/2236486177250363682*c_1001_3^10 - 862929565674882575495/1490990784833575788*c_1001_3^9 - 1811104463193734801867/4472972354500727364*c_1001_3^8 + 6058446540241446911561/2236486177250363682*c_1001_3^7 + 1554768360560021509571/496996928277858596*c_1001_3^6 - 34711982627681623308887/4472972354500727364*c_1001_3^5 - 1272124638480288844354/159749012660740263*c_1001_3^4 + 28642891869219238455085/2236486177250363682*c_1001_3^3 + 9731830444995282003649/1490990784833575788*c_1001_3^2 - 1972772570768934970897/212998683547653684*c_1001_3 + 814224603682534971215/496996928277858596, c_0011_0 - 1, c_0011_1 - 31598286398261/6870925275730764*c_1001_3^11 - 316231139750101/3435462637865382*c_1001_3^10 - 1055075631192053/2290308425243588*c_1001_3^9 - 2878743884142325/6870925275730764*c_1001_3^8 + 6577654590201031/3435462637865382*c_1001_3^7 + 5765175853485863/2290308425243588*c_1001_3^6 - 35825322376805953/6870925275730764*c_1001_3^5 - 9378008006992301/1717731318932691*c_1001_3^4 + 26991429728562461/3435462637865382*c_1001_3^3 + 6049248043055995/2290308425243588*c_1001_3^2 - 9816278316902961/2290308425243588*c_1001_3 + 4064331167578579/2290308425243588, c_0011_4 - 8324705975534/572577106310897*c_1001_3^11 - 321081154185907/1145154212621794*c_1001_3^10 - 1456347251179927/1145154212621794*c_1001_3^9 - 415782639571501/572577106310897*c_1001_3^8 + 6677803761967651/1145154212621794*c_1001_3^7 + 6380795348564045/1145154212621794*c_1001_3^6 - 9447760672206598/572577106310897*c_1001_3^5 - 15538354916376695/1145154212621794*c_1001_3^4 + 29266638395764333/1145154212621794*c_1001_3^3 + 10179993384514289/1145154212621794*c_1001_3^2 - 9282522502935652/572577106310897*c_1001_3 + 5489907292632623/1145154212621794, c_0101_0 + 23074314477491/6870925275730764*c_1001_3^11 + 105104035483363/1717731318932691*c_1001_3^10 + 1563837525527831/6870925275730764*c_1001_3^9 - 672329100368717/6870925275730764*c_1001_3^8 - 2423551480882582/1717731318932691*c_1001_3^7 - 1830662771966729/6870925275730764*c_1001_3^6 + 26506440264582379/6870925275730764*c_1001_3^5 + 268424012875435/1145154212621794*c_1001_3^4 - 9392861322472349/1717731318932691*c_1001_3^3 + 3572699943603467/6870925275730764*c_1001_3^2 + 3912444323827615/2290308425243588*c_1001_3 + 5519273411157/2290308425243588, c_0101_1 + 53239256592283/6870925275730764*c_1001_3^11 + 266091089029453/1717731318932691*c_1001_3^10 + 1786810338905125/2290308425243588*c_1001_3^9 + 5538808146341651/6870925275730764*c_1001_3^8 - 5237346273079525/1717731318932691*c_1001_3^7 - 11226313216883339/2290308425243588*c_1001_3^6 + 56991649388685863/6870925275730764*c_1001_3^5 + 42659086846593551/3435462637865382*c_1001_3^4 - 23350117501562417/1717731318932691*c_1001_3^3 - 24207109915759851/2290308425243588*c_1001_3^2 + 27145349453450715/2290308425243588*c_1001_3 - 6963344337914947/2290308425243588, c_0101_5 - 15543752645065/1145154212621794*c_1001_3^11 - 936301625377231/3435462637865382*c_1001_3^10 - 2373231449852633/1717731318932691*c_1001_3^9 - 1584005583303607/1145154212621794*c_1001_3^8 + 19478252002711489/3435462637865382*c_1001_3^7 + 14991345285735689/1717731318932691*c_1001_3^6 - 18242467141640845/1145154212621794*c_1001_3^5 - 76366457907706643/3435462637865382*c_1001_3^4 + 92700522931751393/3435462637865382*c_1001_3^3 + 31381088660206723/1717731318932691*c_1001_3^2 - 26268837048701993/1145154212621794*c_1001_3 + 3779395237707536/572577106310897, c_1001_3^12 + 19*c_1001_3^11 + 81*c_1001_3^10 + 8*c_1001_3^9 - 469*c_1001_3^8 - 219*c_1001_3^7 + 1532*c_1001_3^6 + 433*c_1001_3^5 - 2774*c_1001_3^4 + 405*c_1001_3^3 + 1998*c_1001_3^2 - 1350*c_1001_3 + 279 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB