Magma V2.19-8 Tue Aug 20 2013 16:16:22 on localhost [Seed = 4038159376] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0641 geometric_solution 4.62996317 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 2310 0132 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 1 -1 0 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.137934687928 1.591219488959 0 0 4 4 0132 3201 2310 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 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 0.200548340626 0.142766357696 5 0 3 5 0132 0132 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0.453803277928 0.686252453048 6 2 0 6 0132 1230 0132 1023 0 0 0 0 0 0 1 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453803277928 0.686252453048 4 1 1 4 3201 3201 0132 2310 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 -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 -1.919822400651 0.613548367963 2 6 6 2 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.434712992610 0.542330529017 3 5 5 3 0132 3201 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.434712992610 0.542330529017 ==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' : negation(d['1']), 's_3_5' : negation(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' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_6' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 44546315071322240/335525434548873*c_0101_6^18 - 96759323785082752/335525434548873*c_0101_6^17 + 152124529919545474/335525434548873*c_0101_6^16 + 654133203832644238/335525434548873*c_0101_6^15 + 115522641806072107/111841811516291*c_0101_6^14 - 1126098708750406432/335525434548873*c_0101_6^13 - 1642278542115167105/335525434548873*c_0101_6^12 + 199822000502882558/335525434548873*c_0101_6^11 + 627380095951398068/111841811516291*c_0101_6^10 + 911344134608206846/335525434548873*c_0101_6^9 - 853067166994774340/335525434548873*c_0101_6^8 - 255447718259718714/111841811516291*c_0101_6^7 + 60558271269137187/111841811516291*c_0101_6^6 + 355066698473010794/335525434548873*c_0101_6^5 - 11039762651270947/335525434548873*c_0101_6^4 - 43871071564345975/111841811516291*c_0101_6^3 - 14650385150215946/111841811516291*c_0101_6^2 + 27189921693235628/335525434548873*c_0101_6 + 13469302783782014/335525434548873, c_0011_0 - 1, c_0011_3 - 52663849613800/111841811516291*c_0101_6^18 - 136321652314099/111841811516291*c_0101_6^17 + 78377842121297/111841811516291*c_0101_6^16 + 714137027791561/111841811516291*c_0101_6^15 + 853238792822926/111841811516291*c_0101_6^14 - 430035684572178/111841811516291*c_0101_6^13 - 1850229315622080/111841811516291*c_0101_6^12 - 1235877272575966/111841811516291*c_0101_6^11 + 786085402067217/111841811516291*c_0101_6^10 + 1359540916895741/111841811516291*c_0101_6^9 + 83306648272930/111841811516291*c_0101_6^8 - 612504353822133/111841811516291*c_0101_6^7 - 155521236913524/111841811516291*c_0101_6^6 + 252947855198731/111841811516291*c_0101_6^5 + 113482698543201/111841811516291*c_0101_6^4 + 87515090813854/111841811516291*c_0101_6^3 + 237253740821960/111841811516291*c_0101_6^2 - 1621413846962/111841811516291*c_0101_6 + 7074275744092/111841811516291, c_0011_4 - 48244018220440/111841811516291*c_0101_6^18 - 457337455967877/111841811516291*c_0101_6^17 - 385530383218420/111841811516291*c_0101_6^16 + 2299028483561390/111841811516291*c_0101_6^15 + 4757558171171436/111841811516291*c_0101_6^14 - 1029722224753314/111841811516291*c_0101_6^13 - 11396169397567010/111841811516291*c_0101_6^12 - 8563859882948614/111841811516291*c_0101_6^11 + 7670490547375919/111841811516291*c_0101_6^10 + 13847128060885890/111841811516291*c_0101_6^9 + 2268532261180463/111841811516291*c_0101_6^8 - 7032859845358296/111841811516291*c_0101_6^7 - 3145367250700211/111841811516291*c_0101_6^6 + 1444650981006882/111841811516291*c_0101_6^5 + 1126957109535718/111841811516291*c_0101_6^4 - 657275416404761/111841811516291*c_0101_6^3 - 632502085951112/111841811516291*c_0101_6^2 - 74794773377012/111841811516291*c_0101_6 + 192567203258165/111841811516291, c_0101_0 - 135427611219552/111841811516291*c_0101_6^18 - 543723778053036/111841811516291*c_0101_6^17 + 58892403301987/111841811516291*c_0101_6^16 + 3195929442621077/111841811516291*c_0101_6^15 + 4386753674706160/111841811516291*c_0101_6^14 - 3617158625951406/111841811516291*c_0101_6^13 - 13140892797784185/111841811516291*c_0101_6^12 - 5849868648541539/111841811516291*c_0101_6^11 + 12582872922490371/111841811516291*c_0101_6^10 + 14415594348522321/111841811516291*c_0101_6^9 - 2561840822254321/111841811516291*c_0101_6^8 - 10743399972749910/111841811516291*c_0101_6^7 - 1969719139096817/111841811516291*c_0101_6^6 + 4538205361453578/111841811516291*c_0101_6^5 + 1765069573374424/111841811516291*c_0101_6^4 - 1522249927921780/111841811516291*c_0101_6^3 - 1020838028047813/111841811516291*c_0101_6^2 + 69667834046896/111841811516291*c_0101_6 + 258257841961628/111841811516291, c_0101_1 - 56594205952736/111841811516291*c_0101_6^18 - 158777985775180/111841811516291*c_0101_6^17 + 97129447240937/111841811516291*c_0101_6^16 + 856548173971417/111841811516291*c_0101_6^15 + 890993921393861/111841811516291*c_0101_6^14 - 745547525341866/111841811516291*c_0101_6^13 - 2085416208689706/111841811516291*c_0101_6^12 - 895202090169660/111841811516291*c_0101_6^11 + 1134005101694854/111841811516291*c_0101_6^10 + 1175170567992277/111841811516291*c_0101_6^9 - 154354092339947/111841811516291*c_0101_6^8 - 567526720183534/111841811516291*c_0101_6^7 - 39488018550681/111841811516291*c_0101_6^6 + 240638204755628/111841811516291*c_0101_6^5 + 90239513084615/111841811516291*c_0101_6^4 - 63374195059099/111841811516291*c_0101_6^3 + 87515090813854/111841811516291*c_0101_6^2 + 182006135258405/111841811516291*c_0101_6 + 5452861897130/111841811516291, c_0101_5 + c_0101_6, c_0101_6^19 + 15/8*c_0101_6^18 - 33/8*c_0101_6^17 - 55/4*c_0101_6^16 - 25/8*c_0101_6^15 + 113/4*c_0101_6^14 + 117/4*c_0101_6^13 - 135/8*c_0101_6^12 - 335/8*c_0101_6^11 - 55/8*c_0101_6^10 + 107/4*c_0101_6^9 + 23/2*c_0101_6^8 - 81/8*c_0101_6^7 - 7*c_0101_6^6 + 23/8*c_0101_6^5 + 25/8*c_0101_6^4 - c_0101_6^2 - 1/8*c_0101_6 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB