Magma V2.19-8 Tue Aug 20 2013 23:39:09 on localhost [Seed = 1157833001] Type ? for help. Type -D to quit. Loading file "L11a206__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a206 geometric_solution 9.03669081 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 0 2 0 0132 1302 0132 2031 1 1 1 1 0 0 -1 1 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 2 -1 -1 0 0 1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439110858411 0.585466339548 0 3 5 4 0132 0132 0132 0132 0 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 -1 1 0 1 0 0 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.963655895480 0.612092005279 6 5 3 0 0132 1023 3201 0132 1 1 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 0 0 0 0 0 2 -2 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 -0.292577307616 1.195078150765 2 1 7 8 2310 0132 0132 0132 0 1 1 1 0 0 0 0 0 0 -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 1 -1 0 1 0 1 -2 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.344937944094 1.021053674328 9 8 1 5 0132 0132 0132 0321 0 1 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 0 0 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 0.942752429313 0.505385643340 2 4 6 1 1023 0321 0132 0132 0 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 0 0 0 0 0 0 0 0 0 0 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 0.598217132375 0.713556333816 2 9 9 5 0132 0213 0132 0132 0 1 1 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 0 0 2 -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 0.486093277791 1.264687332724 8 8 9 3 0132 0321 0213 0132 0 1 1 1 0 0 0 0 0 0 -1 1 0 -1 0 1 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 2 0 -2 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.486093277791 1.264687332724 7 4 3 7 0132 0132 0132 0321 0 1 1 1 0 0 0 0 0 0 -1 1 -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 2 -2 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526974664660 0.437362436880 4 7 6 6 0132 0213 0213 0132 0 1 1 1 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 1 -2 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 0.735203034228 0.688932317430 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_3'], 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_6'], 'c_1001_8' : d['c_1001_1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_5'], 'c_1100_8' : d['c_1001_6'], 'c_1100_5' : d['c_1001_5'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_1001_6'], 'c_1100_6' : d['c_1001_5'], 'c_1100_1' : d['c_1001_5'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1001_6'], 'c_1100_2' : negation(d['c_0011_0']), 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_1001_5'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_1001_6'], 'c_1010_8' : d['c_1001_3'], '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' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_7' : negation(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' : negation(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_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_4'], '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_2']), 'c_0101_8' : negation(d['c_0101_2']), 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_7' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_2']})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_1001_1, c_1001_3, c_1001_5, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 535045239785439/408962395925*c_1001_6^10 + 949335632978882/408962395925*c_1001_6^9 + 1276442789939631/408962395925*c_1001_6^8 + 3378785176772461/408962395925*c_1001_6^7 + 972263858593419/81792479185*c_1001_6^6 + 3428380094478427/408962395925*c_1001_6^5 + 1598186644080101/408962395925*c_1001_6^4 + 198382556222967/81792479185*c_1001_6^3 + 495648723180816/408962395925*c_1001_6^2 + 21671799779582/81792479185*c_1001_6 - 7826691464154/408962395925, c_0011_0 - 1, c_0011_2 - 2563117556/962264461*c_1001_6^10 - 4652723013/962264461*c_1001_6^9 - 8995073983/962264461*c_1001_6^8 - 20343248669/962264461*c_1001_6^7 - 28904495472/962264461*c_1001_6^6 - 31882746238/962264461*c_1001_6^5 - 27746998747/962264461*c_1001_6^4 - 14042721117/962264461*c_1001_6^3 - 5017150412/962264461*c_1001_6^2 - 2391282768/962264461*c_1001_6 - 990574540/962264461, c_0011_4 + 2641103911/962264461*c_1001_6^10 + 5305036109/962264461*c_1001_6^9 + 4229176531/962264461*c_1001_6^8 + 18317674509/962264461*c_1001_6^7 + 22405797711/962264461*c_1001_6^6 + 12756935042/962264461*c_1001_6^5 + 5740344007/962264461*c_1001_6^4 + 5502458260/962264461*c_1001_6^3 + 3399894738/962264461*c_1001_6^2 + 161117203/962264461*c_1001_6 + 359067439/962264461, c_0101_0 - 48567724/962264461*c_1001_6^10 + 4719558664/962264461*c_1001_6^9 + 6823143256/962264461*c_1001_6^8 + 9383357047/962264461*c_1001_6^7 + 26832181881/962264461*c_1001_6^6 + 34658887356/962264461*c_1001_6^5 + 20793506799/962264461*c_1001_6^4 + 8795593374/962264461*c_1001_6^3 + 4403270060/962264461*c_1001_6^2 + 1840882772/962264461*c_1001_6 + 376809568/962264461, c_0101_1 - 9098416912/962264461*c_1001_6^10 - 11762305839/962264461*c_1001_6^9 - 17463655464/962264461*c_1001_6^8 - 49295322328/962264461*c_1001_6^7 - 58951773398/962264461*c_1001_6^6 - 34786617035/962264461*c_1001_6^5 - 10627510747/962264461*c_1001_6^4 - 4168150787/962264461*c_1001_6^3 - 2624786257/962264461*c_1001_6^2 - 677426712/962264461*c_1001_6 + 927209564/962264461, c_0101_2 - 3636970481/962264461*c_1001_6^10 - 3556977473/962264461*c_1001_6^9 - 6283211167/962264461*c_1001_6^8 - 18343591711/962264461*c_1001_6^7 - 19594120225/962264461*c_1001_6^6 - 10434961847/962264461*c_1001_6^5 - 5543578038/962264461*c_1001_6^4 - 5983238149/962264461*c_1001_6^3 - 2726979127/962264461*c_1001_6^2 - 1343443634/962264461*c_1001_6 - 220061970/962264461, c_1001_1 - 1, c_1001_3 + 1804150434/962264461*c_1001_6^10 + 1237123299/962264461*c_1001_6^9 + 1853197565/962264461*c_1001_6^8 + 8239620209/962264461*c_1001_6^7 + 6082363418/962264461*c_1001_6^6 - 505932489/962264461*c_1001_6^5 + 463671103/962264461*c_1001_6^4 + 2186132380/962264461*c_1001_6^3 - 1167010139/962264461*c_1001_6^2 - 415700375/962264461*c_1001_6 - 352536702/962264461, c_1001_5 - 8006178257/962264461*c_1001_6^10 - 12576826261/962264461*c_1001_6^9 - 17527666052/962264461*c_1001_6^8 - 48508433762/962264461*c_1001_6^7 - 64088453906/962264461*c_1001_6^6 - 43458073843/962264461*c_1001_6^5 - 21507944106/962264461*c_1001_6^4 - 11672815181/962264461*c_1001_6^3 - 4474095594/962264461*c_1001_6^2 - 1275577964/962264461*c_1001_6 - 2809188/962264461, c_1001_6^11 + 31/19*c_1001_6^10 + 43/19*c_1001_6^9 + 117/19*c_1001_6^8 + 161/19*c_1001_6^7 + 112/19*c_1001_6^6 + 58/19*c_1001_6^5 + 41/19*c_1001_6^4 + 21/19*c_1001_6^3 + 6/19*c_1001_6^2 + 1/19*c_1001_6 + 1/19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB