Magma V2.19-8 Tue Aug 20 2013 16:14:41 on localhost [Seed = 1225315670] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s666 geometric_solution 5.15866571 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 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 -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 0.220466669623 0.798169547340 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 0 0 -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 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 0.849652806101 1.216802253118 1 3 0 4 1230 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.849652806101 1.216802253118 1 3 3 2 0132 3201 2310 3201 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541212834389 0.546031289226 2 5 5 1 3201 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326935845766 0.325586515287 5 4 4 5 3012 0132 1023 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 1.736465721741 1.038296085936 ==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_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_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_0']), '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_0011_1'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 17738024495721/2663823180775*c_0101_5^11 + 1902546341419/532764636155*c_0101_5^10 - 105291926303101/2663823180775*c_0101_5^9 + 735191903342368/2663823180775*c_0101_5^8 - 670543245203638/2663823180775*c_0101_5^7 - 357814024346724/2663823180775*c_0101_5^6 - 791352702827779/2663823180775*c_0101_5^5 + 1744035913181254/2663823180775*c_0101_5^4 + 950198576595334/2663823180775*c_0101_5^3 - 2088338925092623/2663823180775*c_0101_5^2 + 40549873700922/532764636155*c_0101_5 + 365740430445999/2663823180775, c_0011_0 - 1, c_0011_1 + 812846903/3437191201*c_0101_5^11 + 659249784/3437191201*c_0101_5^10 + 5572921452/3437191201*c_0101_5^9 - 26361863224/3437191201*c_0101_5^8 - 5747687382/3437191201*c_0101_5^7 + 12743237777/3437191201*c_0101_5^6 + 57095369419/3437191201*c_0101_5^5 - 6942597613/3437191201*c_0101_5^4 - 61328758570/3437191201*c_0101_5^3 + 5902100304/3437191201*c_0101_5^2 + 15012842587/3437191201*c_0101_5 + 3861116282/3437191201, c_0011_4 + 485280911/3437191201*c_0101_5^11 + 69094683/3437191201*c_0101_5^10 + 3059836824/3437191201*c_0101_5^9 - 17943391768/3437191201*c_0101_5^8 + 7126360348/3437191201*c_0101_5^7 + 10411732397/3437191201*c_0101_5^6 + 28846764969/3437191201*c_0101_5^5 - 26959343749/3437191201*c_0101_5^4 - 38352506272/3437191201*c_0101_5^3 + 27992396315/3437191201*c_0101_5^2 + 7035577375/3437191201*c_0101_5 - 2537669717/3437191201, c_0101_0 + 34551098/3437191201*c_0101_5^11 + 694571848/3437191201*c_0101_5^10 + 459017021/3437191201*c_0101_5^9 + 3062083038/3437191201*c_0101_5^8 - 24254185403/3437191201*c_0101_5^7 + 5063120440/3437191201*c_0101_5^6 + 18364861001/3437191201*c_0101_5^5 + 44675670466/3437191201*c_0101_5^4 - 29061735795/3437191201*c_0101_5^3 - 55144675019/3437191201*c_0101_5^2 + 25397031685/3437191201*c_0101_5 + 12500094828/3437191201, c_0101_1 + 85466049/3437191201*c_0101_5^11 - 186608625/3437191201*c_0101_5^10 + 696250732/3437191201*c_0101_5^9 - 4068212899/3437191201*c_0101_5^8 + 10096801055/3437191201*c_0101_5^7 - 5590840639/3437191201*c_0101_5^6 - 6292148464/3437191201*c_0101_5^5 - 16096179902/3437191201*c_0101_5^4 + 15530599657/3437191201*c_0101_5^3 + 33350059029/3437191201*c_0101_5^2 - 17550116078/3437191201*c_0101_5 - 8431381950/3437191201, c_0101_5^12 + 6*c_0101_5^10 - 38*c_0101_5^9 + 18*c_0101_5^8 + 29*c_0101_5^7 + 54*c_0101_5^6 - 69*c_0101_5^5 - 84*c_0101_5^4 + 83*c_0101_5^3 + 25*c_0101_5^2 - 19*c_0101_5 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB