Magma V2.19-8 Tue Aug 20 2013 16:19:19 on localhost [Seed = 1174920008] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3424 geometric_solution 6.59531513 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301633456917 0.243965422321 2 0 3 0 0132 2310 0132 0132 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.694182424452 1.377047146737 1 4 5 6 0132 0132 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 0 0 1 -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 0.412209539462 0.920874100888 6 5 4 1 3201 0132 3201 0132 0 0 0 0 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 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 0.412209539462 0.920874100888 3 2 6 6 2310 0132 1302 2031 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 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 0.487235497649 0.946800864335 5 3 5 2 2031 0132 1302 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 1 -1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.608985696373 0.789082841660 4 4 2 3 2031 1302 0132 2310 0 0 0 0 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 -1 0 1 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436598677578 0.753427887759 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : 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' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_1'], 's_3_6' : negation(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_3'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_3']), '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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 40 Groebner basis: [ t + 16282815853827117620933/176735511937752746801152*c_0101_0*c_0101_3^\ 19 - 4408928021315447567657981/1237148583564269227608064*c_0101_0*c\ _0101_3^17 - 26592723523421668747516559/1237148583564269227608064*c\ _0101_0*c_0101_3^15 + 131152863327170305651888147/12371485835642692\ 27608064*c_0101_0*c_0101_3^13 - 8698298831149221450042427/386608932\ 36383413362752*c_0101_0*c_0101_3^11 - 336835394222986339692038367/88367755968876373400576*c_0101_0*c_0101\ _3^9 + 754148307910893070172134663/77321786472766826725504*c_0101_0\ *c_0101_3^7 + 296187653274767811737339/74634929027767207264*c_0101_\ 0*c_0101_3^5 - 3423487738454516382260579/9665223309095853340688*c_0\ 101_0*c_0101_3^3 - 1566114164394340022481137/2416305827273963335172\ *c_0101_0*c_0101_3, c_0011_0 - 1, c_0011_1 - 184759708636116875/4016716180403471518208*c_0101_3^18 + 7104620165784073101/4016716180403471518208*c_0101_3^16 + 44742866829192514431/4016716180403471518208*c_0101_3^14 - 202942868393481373187/4016716180403471518208*c_0101_3^12 + 50372565869326466685/502089522550433939776*c_0101_3^10 + 3879087797199233575513/2008358090201735759104*c_0101_3^8 - 34981492969541820055/7845148789850530309*c_0101_3^6 - 10562818041430563449/3392496773989418512*c_0101_3^4 + 10229775882799816213/31380595159402121236*c_0101_3^2 - 2259592239497762309/7845148789850530309, c_0011_3 - 1267285563251906847/4016716180403471518208*c_0101_0*c_0101_3\ ^19 + 48794460692534967853/4016716180403471518208*c_0101_0*c_0101_3\ ^17 + 304529473137580066759/4016716180403471518208*c_0101_0*c_0101_\ 3^15 - 1409503314948532473035/4016716180403471518208*c_0101_0*c_010\ 1_3^13 + 702783919318577953827/1004179045100867879552*c_0101_0*c_01\ 01_3^11 + 26555555458875746246141/2008358090201735759104*c_0101_0*c\ _0101_3^9 - 15634070233757761239307/502089522550433939776*c_0101_0*\ c_0101_3^7 - 17476977022265752533/848124193497354628*c_0101_0*c_010\ 1_3^5 + 114695032069397105703/62761190318804242472*c_0101_0*c_0101_\ 3^3 + 23557090463502640778/7845148789850530309*c_0101_0*c_0101_3, c_0011_6 - 6402905590756360539/8033432360806943036416*c_0101_0*c_0101_3\ ^19 + 247857998918031325833/8033432360806943036416*c_0101_0*c_0101_\ 3^17 + 1486721914391792310843/8033432360806943036416*c_0101_0*c_010\ 1_3^15 - 7407458057221208478863/8033432360806943036416*c_0101_0*c_0\ 101_3^13 + 3967474683875596717093/2008358090201735759104*c_0101_0*c\ _0101_3^11 + 132205755884276406209673/4016716180403471518208*c_0101\ _0*c_0101_3^9 - 85667586855807721871505/1004179045100867879552*c_01\ 01_0*c_0101_3^7 - 213593210948247990615/6784993547978837024*c_0101_\ 0*c_0101_3^5 + 235030385576334252465/62761190318804242472*c_0101_0*\ c_0101_3^3 + 29470416858880609415/7845148789850530309*c_0101_0*c_01\ 01_3, c_0101_0^2 + 184759708636116875/4016716180403471518208*c_0101_3^18 - 7104620165784073101/4016716180403471518208*c_0101_3^16 - 44742866829192514431/4016716180403471518208*c_0101_3^14 + 202942868393481373187/4016716180403471518208*c_0101_3^12 - 50372565869326466685/502089522550433939776*c_0101_3^10 - 3879087797199233575513/2008358090201735759104*c_0101_3^8 + 34981492969541820055/7845148789850530309*c_0101_3^6 + 10562818041430563449/3392496773989418512*c_0101_3^4 - 10229775882799816213/31380595159402121236*c_0101_3^2 - 5585556550352768000/7845148789850530309, c_0101_1 + 50791818001422603/502089522550433939776*c_0101_3^18 - 3904707489014598367/1004179045100867879552*c_0101_3^16 - 24665748579826080571/1004179045100867879552*c_0101_3^14 + 111492482265868360183/1004179045100867879552*c_0101_3^12 - 218450543554989829405/1004179045100867879552*c_0101_3^10 - 1069520666040640905299/251044761275216969888*c_0101_3^8 + 4880713441745285072567/502089522550433939776*c_0101_3^6 + 3073307694641138085/424062096748677314*c_0101_3^4 - 19716441749892864727/31380595159402121236*c_0101_3^2 - 6016275108403635932/7845148789850530309, c_0101_3^20 - 39*c_0101_3^18 - 221*c_0101_3^16 + 1225*c_0101_3^14 - 2808*c_0101_3^12 - 40598*c_0101_3^10 + 119040*c_0101_3^8 + 9440*c_0101_3^6 - 17792*c_0101_3^4 - 5632*c_0101_3^2 + 2048 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB