Magma V2.19-8 Tue Aug 20 2013 16:16:10 on localhost [Seed = 2277907267] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0431 geometric_solution 4.48495258 oriented_manifold CS_known 0.0000000000000002 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 0.689518656424 0.068012876125 2 0 2 0 0132 2310 1023 0132 0 0 0 0 0 0 -1 1 1 0 -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 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 0.874168855098 0.073662396104 1 3 1 3 0132 0132 1023 1023 0 0 0 0 0 0 1 -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 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 0.808722322263 0.195406102328 4 2 5 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 -1 0 0 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 1 0 -1 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 0.974736008033 0.740388564564 3 6 5 5 0132 0132 3012 1230 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 -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 1.249704832618 1.130139222984 4 4 6 3 3012 1230 0132 0132 0 0 0 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 -1 0 0 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.249704832618 1.130139222984 6 4 6 5 2031 0132 1302 0132 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 0 0 0 0.407734211208 0.614153528732 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_1']), 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_1'], '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' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), '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_0101_4'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_4'], '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_5, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 136488212617525732535000504129189/1248118316375840119495868636215*c\ _0101_5^25 + 3254814062724763305603208629236017/1248118316375840119\ 495868636215*c_0101_5^23 - 39629742311680252654333886956967209/1248\ 118316375840119495868636215*c_0101_5^21 + 311691555487281885082261957102772728/124811831637584011949586863621\ 5*c_0101_5^19 - 218209581649430095509395387227921221/24962366327516\ 8023899173727243*c_0101_5^17 + 769144974131909025371781494315068867\ /1248118316375840119495868636215*c_0101_5^15 - 2859923993258035440462741277610107227/12481183163758401194958686362\ 15*c_0101_5^13 + 1314523431621728483972684593346469527/249623663275\ 168023899173727243*c_0101_5^11 - 7323211316038773348053890574878435\ 77/249623663275168023899173727243*c_0101_5^9 + 379503138994496238948624891597428149/124811831637584011949586863621\ 5*c_0101_5^7 - 759142215357157734707508878128383/124811831637584011\ 9495868636215*c_0101_5^5 + 9653712194078703199837903269866264/12481\ 18316375840119495868636215*c_0101_5^3 + 266897608713267868341341229013619/1248118316375840119495868636215*c\ _0101_5, c_0011_0 - 1, c_0011_1 + 8157026528563577910465664523/249623663275168023899173727243*\ c_0101_5^24 - 191810910085883467616493761453/2496236632751680238991\ 73727243*c_0101_5^22 + 2303969349400484329023903965351/249623663275\ 168023899173727243*c_0101_5^20 - 17844756362863453682146218753823/2\ 49623663275168023899173727243*c_0101_5^18 + 59060335810742823743540839108030/249623663275168023899173727243*c_0\ 101_5^16 - 24632497950951350655594712267115/24962366327516802389917\ 3727243*c_0101_5^14 + 156726675050250971071174902435099/24962366327\ 5168023899173727243*c_0101_5^12 - 336606266913368617768355855969859\ /249623663275168023899173727243*c_0101_5^10 + 91159690319031047566852714291076/249623663275168023899173727243*c_0\ 101_5^8 + 43726009356403177680154394699163/249623663275168023899173\ 727243*c_0101_5^6 - 5321814230414607277063359320535/249623663275168\ 023899173727243*c_0101_5^4 + 18713458899046689081048438766/24962366\ 3275168023899173727243*c_0101_5^2 - 206245204623836255435177958949/249623663275168023899173727243, c_0011_5 + 666055585082760241168855019/249623663275168023899173727243*c\ _0101_5^24 - 17543478365913375399406276572/249623663275168023899173\ 727243*c_0101_5^22 + 232883799357051757284377544956/249623663275168\ 023899173727243*c_0101_5^20 - 2000855962807638061245145244209/24962\ 3663275168023899173727243*c_0101_5^18 + 9089582423750663302367900099784/249623663275168023899173727243*c_01\ 01_5^16 - 16829691290239845633672958802599/249623663275168023899173\ 727243*c_0101_5^14 + 22742912664416418081520399547531/2496236632751\ 68023899173727243*c_0101_5^12 - 66992864475028542440147973290050/24\ 9623663275168023899173727243*c_0101_5^10 + 96103919249089415119747308222796/249623663275168023899173727243*c_0\ 101_5^8 - 43691768935021579927499254457650/249623663275168023899173\ 727243*c_0101_5^6 + 5854428176059608452208268996419/249623663275168\ 023899173727243*c_0101_5^4 - 1112239278224750751758761698774/249623\ 663275168023899173727243*c_0101_5^2 + 134321620477323679891875732576/249623663275168023899173727243, c_0101_0 - 46728290368741895763220659353/249623663275168023899173727243\ *c_0101_5^25 + 1104082121614562778606895765226/24962366327516802389\ 9173727243*c_0101_5^23 - 13324130995542464089556183838251/249623663\ 275168023899173727243*c_0101_5^21 + 103752922485650035023084452314321/249623663275168023899173727243*c_\ 0101_5^19 - 350329318198717742832952827770719/249623663275168023899\ 173727243*c_0101_5^17 + 182884682386450835589883865792679/249623663\ 275168023899173727243*c_0101_5^15 - 926196050127913855155575220271574/249623663275168023899173727243*c_\ 0101_5^13 + 2038143626121163157114494811817087/24962366327516802389\ 9173727243*c_0101_5^11 - 773651305094141457449338169685954/24962366\ 3275168023899173727243*c_0101_5^9 - 117105073801062528156625198444769/249623663275168023899173727243*c_\ 0101_5^7 + 17001520918663789661866438402445/24962366327516802389917\ 3727243*c_0101_5^5 + 4326911717127225793497898005357/24962366327516\ 8023899173727243*c_0101_5^3 + 273554366926610553526200023296/249623\ 663275168023899173727243*c_0101_5, c_0101_1 - 6658899211459674686089468488/249623663275168023899173727243*\ c_0101_5^24 + 162493159733651592957614908675/2496236632751680238991\ 73727243*c_0101_5^22 - 2021736925744267695647329812277/249623663275\ 168023899173727243*c_0101_5^20 + 16282822728636629990228610469202/2\ 49623663275168023899173727243*c_0101_5^18 - 61702822977194597451539726146959/249623663275168023899173727243*c_0\ 101_5^16 + 67295562735863137013965005403052/24962366327516802389917\ 3727243*c_0101_5^14 - 161067601717222292074018671269693/24962366327\ 5168023899173727243*c_0101_5^12 + 398659296028945962327665572402115\ /249623663275168023899173727243*c_0101_5^10 - 358713234601990462521265990715112/249623663275168023899173727243*c_\ 0101_5^8 + 121821114417101571222931794833062/2496236632751680238991\ 73727243*c_0101_5^6 - 12773999457498556952107704845456/249623663275\ 168023899173727243*c_0101_5^4 + 1051854898783505621890412346203/249\ 623663275168023899173727243*c_0101_5^2 - 44972183891498639564257524064/249623663275168023899173727243, c_0101_4 - 10334622816733798634470590405/249623663275168023899173727243\ *c_0101_5^25 + 244076752544405274553119676183/249623663275168023899\ 173727243*c_0101_5^23 - 2944626381787106887760531752560/24962366327\ 5168023899173727243*c_0101_5^21 + 22923789629543198336402228889284/\ 249623663275168023899173727243*c_0101_5^19 - 77338120666620511415554534345412/249623663275168023899173727243*c_0\ 101_5^17 + 40392375778126072115080873665544/24962366327516802389917\ 3727243*c_0101_5^15 - 207032604928443327826827148659405/24962366327\ 5168023899173727243*c_0101_5^13 + 450523633780341573403517274317958\ /249623663275168023899173727243*c_0101_5^11 - 173404008188485005449999739505162/249623663275168023899173727243*c_\ 0101_5^9 - 11964970463976944457924525509700/24962366327516802389917\ 3727243*c_0101_5^7 - 5578294855098923969669492453316/24962366327516\ 8023899173727243*c_0101_5^5 + 2761936746440565429621804860553/24962\ 3663275168023899173727243*c_0101_5^3 - 31764122069601425986295834473/249623663275168023899173727243*c_0101\ _5, c_0101_5^26 - 24*c_0101_5^24 + 294*c_0101_5^22 - 2328*c_0101_5^20 + 8342*c_0101_5^18 - 6848*c_0101_5^16 + 21776*c_0101_5^14 - 51333*c_0101_5^12 + 34095*c_0101_5^10 - 6641*c_0101_5^8 + 278*c_0101_5^6 - 43*c_0101_5^4 + 5*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB