Magma V2.19-8 Tue Aug 20 2013 16:18:55 on localhost [Seed = 3086363328] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3081 geometric_solution 6.24376275 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 0 0 0 -1 1 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 1.010099847772 0.796510776038 0 5 3 6 0132 0132 3012 0132 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 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 0.556369155682 0.577649714886 5 0 6 4 2310 0132 0132 1230 0 0 0 0 0 -1 0 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 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 0.556369155682 0.577649714886 6 1 4 0 0132 1230 1230 0132 0 0 0 0 0 -1 0 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 -1 0 1 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 0.801636945000 0.826744216481 2 6 0 3 3012 0132 0132 3012 0 0 0 0 0 0 0 0 -1 0 1 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 -1 1 0 0 0 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.801636945000 0.826744216481 5 1 2 5 3012 0132 3201 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.014912175597 0.893619572014 3 4 1 2 0132 0132 0132 0132 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 1 -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 1.543465077482 0.642743632186 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0110_4'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0110_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0110_4'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : d['c_0110_4'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], '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_3'], '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_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : d['c_1001_2'], '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_3'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_1001_2']})} 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_0101_0, c_0101_1, c_0101_2, c_0110_4, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 718928893266/23197869745*c_1001_2^11 + 7333151004033/46395739490*c_1001_2^10 - 3682676755031/46395739490*c_1001_2^9 + 35318602080597/46395739490*c_1001_2^8 - 26470583901293/23197869745*c_1001_2^7 - 41681170679501/23197869745*c_1001_2^6 + 24960352849416/23197869745*c_1001_2^5 + 44622899602668/23197869745*c_1001_2^4 + 8699202459005/9279147898*c_1001_2^3 - 37853434210757/23197869745*c_1001_2^2 - 6269301073547/46395739490*c_1001_2 + 2106519750861/23197869745, c_0011_0 - 1, c_0011_3 + 566212279/4639573949*c_1001_2^11 - 2933696028/4639573949*c_1001_2^10 + 1671444806/4639573949*c_1001_2^9 - 13850499582/4639573949*c_1001_2^8 + 21563092227/4639573949*c_1001_2^7 + 31213282336/4639573949*c_1001_2^6 - 26336208180/4639573949*c_1001_2^5 - 35036074177/4639573949*c_1001_2^4 - 11532854397/4639573949*c_1001_2^3 + 39513777804/4639573949*c_1001_2^2 + 3220789948/4639573949*c_1001_2 - 4917010626/4639573949, c_0101_0 + c_1001_2, c_0101_1 + 1502501355/4639573949*c_1001_2^11 - 6929070971/4639573949*c_1001_2^10 + 581907741/4639573949*c_1001_2^9 - 36940080012/4639573949*c_1001_2^8 + 36463749690/4639573949*c_1001_2^7 + 101569280539/4639573949*c_1001_2^6 - 6061816412/4639573949*c_1001_2^5 - 87847153442/4639573949*c_1001_2^4 - 75769642680/4639573949*c_1001_2^3 + 44312616291/4639573949*c_1001_2^2 + 22758552778/4639573949*c_1001_2 - 2832503090/4639573949, c_0101_2 + 956040748/4639573949*c_1001_2^11 - 4509889872/4639573949*c_1001_2^10 + 748891804/4639573949*c_1001_2^9 - 23206308383/4639573949*c_1001_2^8 + 25973699292/4639573949*c_1001_2^7 + 64049154043/4639573949*c_1001_2^6 - 10785539912/4639573949*c_1001_2^5 - 64048398770/4639573949*c_1001_2^4 - 44403020483/4639573949*c_1001_2^3 + 36717900590/4639573949*c_1001_2^2 + 15189758508/4639573949*c_1001_2 - 932283771/4639573949, c_0110_4 + 950288894/4639573949*c_1001_2^11 - 4583684218/4639573949*c_1001_2^10 + 1109812283/4639573949*c_1001_2^9 - 22613071495/4639573949*c_1001_2^8 + 28012848536/4639573949*c_1001_2^7 + 64120721804/4639573949*c_1001_2^6 - 20842729627/4639573949*c_1001_2^5 - 66109004943/4639573949*c_1001_2^4 - 35872950375/4639573949*c_1001_2^3 + 45005854052/4639573949*c_1001_2^2 + 15974756870/4639573949*c_1001_2 - 5011755764/4639573949, c_1001_2^12 - 5*c_1001_2^11 + 2*c_1001_2^10 - 24*c_1001_2^9 + 34*c_1001_2^8 + 63*c_1001_2^7 - 32*c_1001_2^6 - 67*c_1001_2^5 - 32*c_1001_2^4 + 52*c_1001_2^3 + 9*c_1001_2^2 - 7*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB