Magma V2.19-8 Tue Aug 20 2013 23:42:26 on localhost [Seed = 2581593330] Type ? for help. Type -D to quit. Loading file "L14n13521__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13521 geometric_solution 8.17827541 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 1 2 3 0132 0213 0132 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 -1 0 1 11 0 -12 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 0.994003269843 0.626934503239 0 4 0 5 0132 0132 0213 0132 1 1 1 1 0 0 0 0 1 0 0 -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 -1 1 0 -11 0 0 11 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.280275925562 0.453942022895 6 4 5 0 0132 0321 0213 0132 1 1 1 1 0 0 0 0 1 0 0 -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 -12 0 0 12 0 0 0 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.431946059543 0.892384999467 7 8 0 4 0132 0132 0132 3012 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 0 -1 1 0 0 -1 1 0 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.520111342982 1.196352702426 7 1 3 2 3012 0132 1230 0321 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 -1 0 0 0 0 0 0 0 0 0 -11 12 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.095845308086 0.852909986213 9 2 1 7 0132 0213 0132 3012 1 1 1 1 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 0 0 0 0 0 -11 11 0 0 0 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.439448148877 0.907884045791 2 9 9 9 0132 0213 0132 0321 0 1 1 1 0 -1 -1 2 -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 2 -3 12 0 -12 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507627819974 0.797458515106 3 8 5 4 0132 2310 1230 1230 1 1 1 1 0 -1 1 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 11 -11 0 0 0 0 0 -11 0 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.452851909597 0.446544547794 8 3 8 7 2310 0132 3201 3201 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 0 0 0 0 0 0 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.050286828239 0.900169031576 5 6 6 6 0132 0321 0213 0132 0 1 1 1 0 -2 1 1 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 3 -1 -2 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431946059543 0.892384999467 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_1001_6'], 'c_1001_8' : negation(d['c_0101_4']), 's_2_8' : d['1'], 's_2_9' : 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_2_7' : 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_1100_9' : d['c_1001_6'], 'c_1100_8' : d['c_0011_3'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_0011_2']), 'c_1100_6' : d['c_1001_6'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_0101_7']), 'c_1010_7' : d['c_0101_4'], 'c_1010_6' : d['c_1001_6'], 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : d['c_1001_6'], 'c_1010_8' : d['c_1001_3'], '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_5']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_2']), 'c_0101_8' : d['c_0101_4'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_7' : d['c_0011_0'], 'c_0110_6' : d['c_0011_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_5, c_0101_0, c_0101_4, c_0101_7, c_1001_0, c_1001_3, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 1985610154271877/4564533632*c_1001_3^10 + 724838137642473/2282266816*c_1001_3^9 - 2209215673169835/2282266816*c_1001_3^8 + 893501120829245/2282266816*c_1001_3^7 - 3341504701537453/4564533632*c_1001_3^6 + 904720099282841/1141133408*c_1001_3^5 - 3372224048572059/4564533632*c_1001_3^4 - 911337014424837/4564533632*c_1001_3^3 + 974498625205853/4564533632*c_1001_3^2 + 13452815235511/1141133408*c_1001_3 - 30792025167845/2282266816, c_0011_0 - 1, c_0011_2 + 394964346583/35660419*c_1001_3^10 - 298884039073/35660419*c_1001_3^9 + 880628016980/35660419*c_1001_3^8 - 375803137963/35660419*c_1001_3^7 + 661126095162/35660419*c_1001_3^6 - 734644012015/35660419*c_1001_3^5 + 679530162871/35660419*c_1001_3^4 + 172462533169/35660419*c_1001_3^3 - 207676666491/35660419*c_1001_3^2 - 9308826738/35660419*c_1001_3 + 13776676268/35660419, c_0011_3 - 1229297965143/35660419*c_1001_3^10 + 864583793941/35660419*c_1001_3^9 - 2716042959298/35660419*c_1001_3^8 + 1032563720537/35660419*c_1001_3^7 - 2047095877090/35660419*c_1001_3^6 + 2180483130732/35660419*c_1001_3^5 - 2033003660593/35660419*c_1001_3^4 - 618829485707/35660419*c_1001_3^3 + 586832633779/35660419*c_1001_3^2 + 40909733456/35660419*c_1001_3 - 36933500112/35660419, c_0011_5 + 39771087172/1550453*c_1001_3^10 - 30105899212/1550453*c_1001_3^9 + 88675728880/1550453*c_1001_3^8 - 37860034110/1550453*c_1001_3^7 + 66566219058/1550453*c_1001_3^6 - 73988691364/1550453*c_1001_3^5 + 68429683408/1550453*c_1001_3^4 + 17359387942/1550453*c_1001_3^3 - 20930912690/1550453*c_1001_3^2 - 936278550/1550453*c_1001_3 + 1388482422/1550453, c_0101_0 + 519770658373/35660419*c_1001_3^10 - 393551642803/35660419*c_1001_3^9 + 1158913747260/35660419*c_1001_3^8 - 494977646567/35660419*c_1001_3^7 + 869896943172/35660419*c_1001_3^6 - 967095889357/35660419*c_1001_3^5 + 894352555513/35660419*c_1001_3^4 + 226803389497/35660419*c_1001_3^3 - 273734325379/35660419*c_1001_3^2 - 12225579912/35660419*c_1001_3 + 18158419438/35660419, c_0101_4 - 1326457633684/35660419*c_1001_3^10 + 999899315686/35660419*c_1001_3^9 - 2956883453885/35660419*c_1001_3^8 + 1254550280323/35660419*c_1001_3^7 - 2221678223404/35660419*c_1001_3^6 + 2461689006445/35660419*c_1001_3^5 - 2279017506988/35660419*c_1001_3^4 - 582520568889/35660419*c_1001_3^3 + 692463141913/35660419*c_1001_3^2 + 31770839249/35660419*c_1001_3 - 45811590718/35660419, c_0101_7 + 194987571065/35660419*c_1001_3^10 - 136892789785/35660419*c_1001_3^9 + 430736329240/35660419*c_1001_3^8 - 163242452575/35660419*c_1001_3^7 + 324682716087/35660419*c_1001_3^6 - 345381298355/35660419*c_1001_3^5 + 322167867661/35660419*c_1001_3^4 + 98530732669/35660419*c_1001_3^3 - 92896575714/35660419*c_1001_3^2 - 6442519505/35660419*c_1001_3 + 5840119757/35660419, c_1001_0 + c_1001_3, c_1001_3^11 - 34/89*c_1001_3^10 + 175/89*c_1001_3^9 - 11/89*c_1001_3^8 + 121/89*c_1001_3^7 - 110/89*c_1001_3^6 + 94/89*c_1001_3^5 + 94/89*c_1001_3^4 - 30/89*c_1001_3^3 - 18/89*c_1001_3^2 + 2/89*c_1001_3 + 1/89, c_1001_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB