Magma V2.19-8 Wed Aug 21 2013 00:56:13 on localhost [Seed = 88284960] Type ? for help. Type -D to quit. Loading file "L13n1380__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n1380 geometric_solution 12.40269630 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 -1 0 0 -1 1 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.851033686401 0.612974619141 0 5 7 6 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.809815439804 0.689290160814 8 0 9 9 0132 0132 2031 0132 1 1 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 0 0 0 0 -1 0 1 0 0 -1 1 -9 8 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686440181483 0.665066305140 10 10 9 0 0132 2310 2310 0132 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 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 0.507303248039 0.934495984662 11 6 0 12 0132 0132 0132 0132 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 1 -1 1 0 -1 0 0 9 0 -9 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.809815439804 0.689290160814 11 1 12 12 1023 0132 0213 1230 1 0 1 1 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 -1 0 1 0 -1 0 0 1 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.559289639917 0.691490442388 8 4 1 9 1023 0132 0132 2310 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 0 0 0 0 0 0 0 1 0 -1 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.851033686401 0.612974619141 11 11 12 1 3120 1230 0132 0132 1 1 1 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 -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 0.559289639917 0.691490442388 2 6 10 10 0132 1023 1023 3201 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 0 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 0.507303248039 0.934495984662 6 3 2 2 3201 3201 0132 1302 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 0 0 0 0 0 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 0.686440181483 0.665066305140 3 8 8 3 0132 2310 1023 3201 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 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 -0.448687069528 0.826519969002 4 5 7 7 0132 1023 3012 3120 0 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 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 0.559289639917 0.691490442388 5 5 4 7 3012 0213 0132 0132 1 1 0 1 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 1 -1 0 0 0 0 0 -1 0 1 -1 -8 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.559289639917 0.691490442388 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0101_8'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_12'], 'c_1001_4' : negation(d['c_0110_9']), 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_1001_12'], 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0110_9']), 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : d['c_0101_7'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : negation(d['c_0101_2']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_2'], 'c_1100_8' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : d['c_0011_9'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : d['c_0011_9'], 'c_1100_3' : d['c_0011_9'], 'c_1100_2' : d['c_0101_2'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : d['c_0011_10'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : negation(d['c_0110_9']), 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_1001_12'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_1001_12'], 'c_1010_0' : negation(d['c_0110_9']), 'c_1010_9' : negation(d['c_0101_2']), 'c_1010_8' : negation(d['c_0101_8']), 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_9'], 's_1_7' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_7'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_12'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_8']), 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_7, c_0101_8, c_0110_9, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 9936709801248583309/36992959136249241600*c_1001_12^17 + 21480822217985511847/29594367308999393280*c_1001_12^16 + 4146105188747536103/2959436730899939328*c_1001_12^15 - 46940724151872794267/9248239784062310400*c_1001_12^14 - 388309700902706635471/73985918272498483200*c_1001_12^13 + 607569200056235742299/36992959136249241600*c_1001_12^12 + 1437979922090569610387/73985918272498483200*c_1001_12^11 - 83033982560762223007/3082746594687436800*c_1001_12^10 - 960439573549650033547/14797183654499696640*c_1001_12^9 + 279743983068561760757/8220657585833164800*c_1001_12^8 + 2026873185152804176537/14797183654499696640*c_1001_12^7 - 280612512990220944077/9248239784062310400*c_1001_12^6 - 12568236603541988216909/73985918272498483200*c_1001_12^5 + 503101651370843935829/12330986378749747200*c_1001_12^4 + 8269368908501994516769/73985918272498483200*c_1001_12^3 - 43739887438615498417/3082746594687436800*c_1001_12^2 - 903696858226403083987/73985918272498483200*c_1001_12 + 274547885064246823049/49323945514998988800, c_0011_0 - 1, c_0011_10 + 30507342361/833771916288*c_1001_12^17 - 1030898855671/6670175330304*c_1001_12^16 + 40744286827/1667543832576*c_1001_12^15 + 2515851980699/3335087665152*c_1001_12^14 - 195518474147/416885958144*c_1001_12^13 - 6694304548943/3335087665152*c_1001_12^12 + 1380849879793/1667543832576*c_1001_12^11 + 4210722069097/1111695888384*c_1001_12^10 + 1897906554223/833771916288*c_1001_12^9 - 1979607333257/185282648064*c_1001_12^8 - 4664286324947/1667543832576*c_1001_12^7 + 54691401090761/3335087665152*c_1001_12^6 - 33516380329/26055372384*c_1001_12^5 - 18270883358267/1111695888384*c_1001_12^4 + 21495999049751/1667543832576*c_1001_12^3 - 1445318756981/1111695888384*c_1001_12^2 - 1658338543721/416885958144*c_1001_12 + 5166301266665/2223391776768, c_0011_12 - 1, c_0011_9 + 1, c_0101_0 + 771930912061/26680701321216*c_1001_12^17 - 3045830665229/26680701321216*c_1001_12^16 + 253058191/13340350660608*c_1001_12^15 + 7623343128553/13340350660608*c_1001_12^14 - 3498223638833/13340350660608*c_1001_12^13 - 20516398376959/13340350660608*c_1001_12^12 + 5824941397339/13340350660608*c_1001_12^11 + 13035290122703/4446783553536*c_1001_12^10 + 6757579479527/3335087665152*c_1001_12^9 - 2983085884667/370565296128*c_1001_12^8 - 40131383427155/13340350660608*c_1001_12^7 + 167831925651931/13340350660608*c_1001_12^6 + 16418383956785/13340350660608*c_1001_12^5 - 59383110439051/4446783553536*c_1001_12^4 + 97357011142889/13340350660608*c_1001_12^3 + 2539255121861/4446783553536*c_1001_12^2 - 50896298980213/26680701321216*c_1001_12 + 7784251730167/8893567107072, c_0101_1 + c_1001_12, c_0101_11 - 390032363885/13340350660608*c_1001_12^17 + 1830303806935/13340350660608*c_1001_12^16 - 494204509133/6670175330304*c_1001_12^15 - 4095335819285/6670175330304*c_1001_12^14 + 4439296079095/6670175330304*c_1001_12^13 + 10378306353623/6670175330304*c_1001_12^12 - 10149454724897/6670175330304*c_1001_12^11 - 7069203982675/2223391776768*c_1001_12^10 - 534549776255/3335087665152*c_1001_12^9 + 3925494067115/370565296128*c_1001_12^8 - 9476139384647/6670175330304*c_1001_12^7 - 113113909178111/6670175330304*c_1001_12^6 + 37312708020353/6670175330304*c_1001_12^5 + 38011658064731/2223391776768*c_1001_12^4 - 92919250278091/6670175330304*c_1001_12^3 + 3637888686767/2223391776768*c_1001_12^2 + 16719680344697/13340350660608*c_1001_12 - 8929477997201/4446783553536, c_0101_2 - 201031439153/6670175330304*c_1001_12^17 + 1657514020823/13340350660608*c_1001_12^16 - 40435424999/3335087665152*c_1001_12^15 - 4114054714579/6670175330304*c_1001_12^14 + 287186894497/833771916288*c_1001_12^13 + 11094824044891/6670175330304*c_1001_12^12 - 2020072166453/3335087665152*c_1001_12^11 - 7108149892601/2223391776768*c_1001_12^10 - 6678515913559/3335087665152*c_1001_12^9 + 3261457234147/370565296128*c_1001_12^8 + 9476667904159/3335087665152*c_1001_12^7 - 91144320040129/6670175330304*c_1001_12^6 - 182151072043/833771916288*c_1001_12^5 + 31596630575479/2223391776768*c_1001_12^4 - 30358279840483/3335087665152*c_1001_12^3 - 402244498283/2223391776768*c_1001_12^2 + 19329284772719/6670175330304*c_1001_12 - 7125754147393/4446783553536, c_0101_3 + 131134899175/3335087665152*c_1001_12^17 - 494436600173/3335087665152*c_1001_12^16 - 140883447989/6670175330304*c_1001_12^15 + 5062739379937/6670175330304*c_1001_12^14 - 1653541749377/6670175330304*c_1001_12^13 - 13540128824611/6670175330304*c_1001_12^12 + 2105484049579/6670175330304*c_1001_12^11 + 8205735622043/2223391776768*c_1001_12^10 + 20806590021683/6670175330304*c_1001_12^9 - 7241453449703/741130592256*c_1001_12^8 - 31249763704487/6670175330304*c_1001_12^7 + 103250904995371/6670175330304*c_1001_12^6 + 11316020092085/6670175330304*c_1001_12^5 - 37689021032299/2223391776768*c_1001_12^4 + 65391867775793/6670175330304*c_1001_12^3 + 3033646979297/2223391776768*c_1001_12^2 - 24661102467509/6670175330304*c_1001_12 + 3008097061535/2223391776768, c_0101_7 - 390032363885/13340350660608*c_1001_12^17 + 1830303806935/13340350660608*c_1001_12^16 - 494204509133/6670175330304*c_1001_12^15 - 4095335819285/6670175330304*c_1001_12^14 + 4439296079095/6670175330304*c_1001_12^13 + 10378306353623/6670175330304*c_1001_12^12 - 10149454724897/6670175330304*c_1001_12^11 - 7069203982675/2223391776768*c_1001_12^10 - 534549776255/3335087665152*c_1001_12^9 + 3925494067115/370565296128*c_1001_12^8 - 9476139384647/6670175330304*c_1001_12^7 - 113113909178111/6670175330304*c_1001_12^6 + 37312708020353/6670175330304*c_1001_12^5 + 38011658064731/2223391776768*c_1001_12^4 - 92919250278091/6670175330304*c_1001_12^3 + 3637888686767/2223391776768*c_1001_12^2 + 30060031005305/13340350660608*c_1001_12 - 8929477997201/4446783553536, c_0101_8 - 131134899175/3335087665152*c_1001_12^17 + 494436600173/3335087665152*c_1001_12^16 + 140883447989/6670175330304*c_1001_12^15 - 5062739379937/6670175330304*c_1001_12^14 + 1653541749377/6670175330304*c_1001_12^13 + 13540128824611/6670175330304*c_1001_12^12 - 2105484049579/6670175330304*c_1001_12^11 - 8205735622043/2223391776768*c_1001_12^10 - 20806590021683/6670175330304*c_1001_12^9 + 7241453449703/741130592256*c_1001_12^8 + 31249763704487/6670175330304*c_1001_12^7 - 103250904995371/6670175330304*c_1001_12^6 - 11316020092085/6670175330304*c_1001_12^5 + 37689021032299/2223391776768*c_1001_12^4 - 65391867775793/6670175330304*c_1001_12^3 - 3033646979297/2223391776768*c_1001_12^2 + 24661102467509/6670175330304*c_1001_12 - 3008097061535/2223391776768, c_0110_9 + 771930912061/26680701321216*c_1001_12^17 - 3045830665229/26680701321216*c_1001_12^16 + 253058191/13340350660608*c_1001_12^15 + 7623343128553/13340350660608*c_1001_12^14 - 3498223638833/13340350660608*c_1001_12^13 - 20516398376959/13340350660608*c_1001_12^12 + 5824941397339/13340350660608*c_1001_12^11 + 13035290122703/4446783553536*c_1001_12^10 + 6757579479527/3335087665152*c_1001_12^9 - 2983085884667/370565296128*c_1001_12^8 - 40131383427155/13340350660608*c_1001_12^7 + 167831925651931/13340350660608*c_1001_12^6 + 16418383956785/13340350660608*c_1001_12^5 - 59383110439051/4446783553536*c_1001_12^4 + 97357011142889/13340350660608*c_1001_12^3 + 2539255121861/4446783553536*c_1001_12^2 - 50896298980213/26680701321216*c_1001_12 + 7784251730167/8893567107072, c_1001_12^18 - 154/41*c_1001_12^17 - 35/41*c_1001_12^16 + 832/41*c_1001_12^15 - 236/41*c_1001_12^14 - 2344/41*c_1001_12^13 + 340/41*c_1001_12^12 + 4512/41*c_1001_12^11 + 3326/41*c_1001_12^10 - 11436/41*c_1001_12^9 - 6266/41*c_1001_12^8 + 19072/41*c_1001_12^7 + 4580/41*c_1001_12^6 - 21960/41*c_1001_12^5 + 7364/41*c_1001_12^4 + 6048/41*c_1001_12^3 - 4895/41*c_1001_12^2 + 822/41*c_1001_12 + 1413/41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.490 seconds, Total memory usage: 32.09MB