Magma V2.19-8 Tue Aug 20 2013 23:40:37 on localhost [Seed = 509115022] Type ? for help. Type -D to quit. Loading file "L11n154__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n154 geometric_solution 10.17500443 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 0 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 1 -1 0 0 0 0 0 1 0 -1 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440669100221 1.138653054713 0 5 7 6 0132 0132 0132 0132 1 1 1 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 9 0 -9 0 0 1 -1 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.704391777192 0.763827565242 8 0 5 3 0132 0132 0132 0132 1 1 1 0 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 0 0 0 0 0 0 0 9 0 0 -9 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.086613142128 0.633348699944 9 6 2 0 0132 1302 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 9 0 -9 -1 -8 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.129198806007 0.925845882030 10 7 0 5 0132 0132 0132 0132 1 1 1 0 0 -1 0 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 8 1 -9 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.856222980737 0.888977879296 8 1 4 2 1023 0132 0132 0132 1 1 0 1 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 -9 9 0 0 0 0 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.177293789422 1.096213134341 9 9 1 3 2103 0132 0132 2031 1 1 1 1 0 0 -1 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 0 9 -9 0 0 1 -1 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.696813343226 1.042753715020 10 4 9 1 3120 0132 0132 0132 1 1 0 1 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 -8 8 0 1 0 0 -1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739341369027 0.512664366530 2 5 10 10 0132 1023 3120 0321 1 1 0 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 0 0 0 0 -1 1 -1 0 0 1 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.177293789422 1.096213134341 3 6 6 7 0132 0132 2103 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 8 -8 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 0.636879742852 0.567373502253 4 8 8 7 0132 0321 3120 3120 1 1 0 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 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 0.437952420395 0.583548767811 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : d['c_0110_6'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_2_10' : 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' : negation(d['c_0110_6']), 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0110_6']), 'c_1100_6' : negation(d['c_0110_6']), 'c_1100_1' : negation(d['c_0110_6']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0101_3']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_5'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : negation(d['c_0011_10']), '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_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : 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_0110_10' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_3'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_10']), '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' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0110_6, c_1001_1, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 3397905826147/21037079328*c_1100_0^10 + 1250100708397/21037079328*c_1100_0^9 - 2727569195227/7888904748*c_1100_0^8 - 27882324415385/63111237984*c_1100_0^7 - 1100294367553/5259269832*c_1100_0^6 - 10545969586397/21037079328*c_1100_0^5 - 7748889413161/21037079328*c_1100_0^4 - 2427227800441/21037079328*c_1100_0^3 + 14694870467455/63111237984*c_1100_0^2 + 854072105465/5259269832*c_1100_0 + 8536496284289/63111237984, c_0011_0 - 1, c_0011_10 - 709990155/876544972*c_1100_0^10 + 899862901/438272486*c_1100_0^9 - 3044843959/876544972*c_1100_0^8 + 4037874047/1314817458*c_1100_0^7 - 232226239/438272486*c_1100_0^6 + 465035897/219136243*c_1100_0^5 - 137506229/219136243*c_1100_0^4 + 3969582163/876544972*c_1100_0^3 + 458019057/876544972*c_1100_0^2 + 561289483/2629634916*c_1100_0 - 1990631071/2629634916, c_0011_3 + 7830521209/2629634916*c_1100_0^10 - 1516872757/657408729*c_1100_0^9 + 58935011561/7888904748*c_1100_0^8 + 16698499933/3944452374*c_1100_0^7 + 4573877855/1314817458*c_1100_0^6 + 3649892336/657408729*c_1100_0^5 + 3226447066/657408729*c_1100_0^4 - 2640803093/2629634916*c_1100_0^3 - 34573235839/7888904748*c_1100_0^2 - 7016891351/2629634916*c_1100_0 - 5007805373/7888904748, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 - 265091057/219136243*c_1100_0^10 + 977597315/438272486*c_1100_0^9 - 5917128893/1314817458*c_1100_0^8 + 334162101/219136243*c_1100_0^7 - 131274447/219136243*c_1100_0^6 - 318095525/219136243*c_1100_0^5 - 176743598/219136243*c_1100_0^4 + 542837738/219136243*c_1100_0^3 + 1192187827/1314817458*c_1100_0^2 + 165875317/657408729*c_1100_0 - 168706855/438272486, c_0101_3 - 4000321955/2629634916*c_1100_0^10 + 1707403868/657408729*c_1100_0^9 - 45702104623/7888904748*c_1100_0^8 + 10888575949/3944452374*c_1100_0^7 - 3943847011/1314817458*c_1100_0^6 + 129490595/657408729*c_1100_0^5 - 1297429529/657408729*c_1100_0^4 + 7795592323/2629634916*c_1100_0^3 + 11041244609/7888904748*c_1100_0^2 + 923504533/2629634916*c_1100_0 - 6770258861/7888904748, c_0110_6 - 4534843691/1314817458*c_1100_0^10 + 7117300217/1314817458*c_1100_0^9 - 27015239672/1972226187*c_1100_0^8 + 12161814091/1972226187*c_1100_0^7 - 6704882506/657408729*c_1100_0^6 - 256872896/657408729*c_1100_0^5 - 4142406271/657408729*c_1100_0^4 + 6881657113/1314817458*c_1100_0^3 - 783540272/1972226187*c_1100_0^2 + 4169337965/1314817458*c_1100_0 + 540140252/1972226187, c_1001_1 + 4534843691/1314817458*c_1100_0^10 - 7117300217/1314817458*c_1100_0^9 + 27015239672/1972226187*c_1100_0^8 - 12161814091/1972226187*c_1100_0^7 + 6704882506/657408729*c_1100_0^6 + 256872896/657408729*c_1100_0^5 + 4142406271/657408729*c_1100_0^4 - 6881657113/1314817458*c_1100_0^3 + 783540272/1972226187*c_1100_0^2 - 5484155423/1314817458*c_1100_0 - 540140252/1972226187, c_1001_5 + c_1100_0, c_1100_0^11 - 9/7*c_1100_0^10 + 71/21*c_1100_0^9 - 11/21*c_1100_0^8 + 44/21*c_1100_0^7 + 6/7*c_1100_0^6 + 12/7*c_1100_0^5 - c_1100_0^4 - 10/21*c_1100_0^3 - 16/21*c_1100_0^2 - 2/21*c_1100_0 + 1/21 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB