Magma V2.19-8 Tue Aug 20 2013 16:16:09 on localhost [Seed = 3170705532] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0415 geometric_solution 4.47552902 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 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 1 0 -1 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 -0.692055727925 0.047977898212 0 0 2 2 0132 2310 2310 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.058073764696 0.286736786843 3 1 1 3 0132 3201 0132 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 0 -1 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 1.516085052356 0.620003875283 2 4 5 2 0132 0132 0132 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 -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 0.071116778536 0.355143667888 5 3 5 6 2310 0132 2103 0132 0 0 0 0 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 -1 0 0 1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300363861092 1.130094515278 4 6 4 3 2103 2310 3201 0132 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 -1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300363861092 1.130094515278 6 6 4 5 1230 3012 0132 3201 0 0 0 0 0 0 0 0 -1 0 1 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 1 0 -1 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 0.780328517610 0.826496025554 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_4'], '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' : d['c_0011_2'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0101_1']), '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_0011_5'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_2, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 2*c_0101_1^2 - 2, c_0011_0 - 1, c_0011_2 - 2*c_0101_1^2 + 2, c_0011_5 - c_0101_1, c_0011_6 - 2*c_0101_1^3 + 3*c_0101_1, c_0101_0 + 2*c_0101_1^3 - 3*c_0101_1, c_0101_1^4 - 2*c_0101_1^2 + 1/2, c_0101_4 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 6508303130051/7575723439568*c_0101_4^12 + 107369288632767/7575723439568*c_0101_4^11 + 260885615784827/7575723439568*c_0101_4^10 + 321280248661185/1893930859892*c_0101_4^9 + 5332605714590105/7575723439568*c_0101_4^8 + 2745494167569193/1893930859892*c_0101_4^7 + 13279255480120145/3787861719784*c_0101_4^6 + 20792071576892987/3787861719784*c_0101_4^5 + 21599004485720355/3787861719784*c_0101_4^4 + 35508364827077197/7575723439568*c_0101_4^3 + 14580069752206001/7575723439568*c_0101_4^2 + 3736820633856667/7575723439568*c_0101_4 + 1988462664076449/7575723439568, c_0011_0 - 1, c_0011_2 + 656145362055/7575723439568*c_0101_4^12 + 1006535329555/7575723439568*c_0101_4^11 + 6123875101567/7575723439568*c_0101_4^10 + 7358009131833/1893930859892*c_0101_4^9 + 48997405884293/7575723439568*c_0101_4^8 + 34677805063669/1893930859892*c_0101_4^7 + 97188402713349/3787861719784*c_0101_4^6 + 86105610532031/3787861719784*c_0101_4^5 + 69418167027247/3787861719784*c_0101_4^4 + 16556190165977/7575723439568*c_0101_4^3 + 4403962794541/7575723439568*c_0101_4^2 + 2493907979839/7575723439568*c_0101_4 - 3920801243491/7575723439568, c_0011_5 + 1866836405813/3787861719784*c_0101_1*c_0101_4^12 + 2634085857113/3787861719784*c_0101_1*c_0101_4^11 + 17170555033789/3787861719784*c_0101_1*c_0101_4^10 + 20350447440947/946965429946*c_0101_1*c_0101_4^9 + 129894608763215/3787861719784*c_0101_1*c_0101_4^8 + 94806130385833/946965429946*c_0101_1*c_0101_4^7 + 249910833266147/1893930859892*c_0101_1*c_0101_4^6 + 216538704392677/1893930859892*c_0101_1*c_0101_4^5 + 157701457652421/1893930859892*c_0101_1*c_0101_4^4 - 8363754240317/3787861719784*c_0101_1*c_0101_4^3 + 15406810313135/3787861719784*c_0101_1*c_0101_4^2 + 4795563859413/3787861719784*c_0101_1*c_0101_4 - 1501823307721/3787861719784*c_0101_1, c_0011_6 + 1678923034839/7575723439568*c_0101_1*c_0101_4^12 + 2518938953395/7575723439568*c_0101_1*c_0101_4^11 + 15703300135871/7575723439568*c_0101_1*c_0101_4^10 + 18701355091801/1893930859892*c_0101_1*c_0101_4^9 + 123891586247637/7575723439568*c_0101_1*c_0101_4^8 + 88684208101457/1893930859892*c_0101_1*c_0101_4^7 + 244339056663037/3787861719784*c_0101_1*c_0101_4^6 + 221783012733287/3787861719784*c_0101_1*c_0101_4^5 + 175158754888207/3787861719784*c_0101_1*c_0101_4^4 + 41914687195673/7575723439568*c_0101_1*c_0101_4^3 + 12466775520509/7575723439568*c_0101_1*c_0101_4^2 + 6227902901119/7575723439568*c_0101_1*c_0101_4 - 3264822668755/7575723439568*c_0101_1, c_0101_0 + 3077527449571/7575723439568*c_0101_1*c_0101_4^12 + 4261636384671/7575723439568*c_0101_1*c_0101_4^11 + 28217234966011/7575723439568*c_0101_1*c_0101_4^10 + 33342885750061/1893930859892*c_0101_1*c_0101_4^9 + 210791811642137/7575723439568*c_0101_1*c_0101_4^8 + 154934455707997/1893930859892*c_0101_1*c_0101_4^7 + 402633263818945/3787861719784*c_0101_1*c_0101_4^6 + 346971798253323/3787861719784*c_0101_1*c_0101_4^5 + 245984748277595/3787861719784*c_0101_1*c_0101_4^4 - 33283698646611/7575723439568*c_0101_1*c_0101_4^3 + 26409657831729/7575723439568*c_0101_1*c_0101_4^2 + 7097219738987/7575723439568*c_0101_1*c_0101_4 + 917154628049/7575723439568*c_0101_1, c_0101_1^2 + 1127548233099/15151446879136*c_0101_4^12 + 1620401005175/15151446879136*c_0101_4^11 + 10552769040819/15151446879136*c_0101_4^10 + 12396997574965/3787861719784*c_0101_4^9 + 81011873271793/15151446879136*c_0101_4^8 + 59168780167401/3787861719784*c_0101_4^7 + 158089218484609/7575723439568*c_0101_4^6 + 147624906237171/7575723439568*c_0101_4^5 + 111314768701819/7575723439568*c_0101_4^4 + 28262896759061/15151446879136*c_0101_4^3 + 7266931874793/15151446879136*c_0101_4^2 + 3912652824947/15151446879136*c_0101_4 - 13804721745159/15151446879136, c_0101_4^13 + 2*c_0101_4^12 + 10*c_0101_4^11 + 49*c_0101_4^10 + 95*c_0101_4^9 + 243*c_0101_4^8 + 386*c_0101_4^7 + 384*c_0101_4^6 + 300*c_0101_4^5 + 89*c_0101_4^4 - 2*c_0101_4^3 + 8*c_0101_4^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB