Magma V2.19-8 Tue Aug 20 2013 23:59:31 on localhost [Seed = 3852700844] Type ? for help. Type -D to quit. Loading file "L14n45326__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n45326 geometric_solution 11.76223429 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 2 1 1 2 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 1 -1 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 0.447774647276 0.742843724629 0 5 7 6 0132 0132 0132 0132 2 1 2 1 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 -1 0 1 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612112261377 0.673487715470 8 0 5 9 0132 0132 0132 0132 2 1 2 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.853064216988 0.887220247347 5 10 11 0 0132 0132 0132 0132 2 1 2 1 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 1 0 -1 0 0 -1 1 1 -1 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.853064216988 0.887220247347 6 7 0 5 0132 0132 0132 0132 2 1 2 1 0 0 0 0 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 -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 0.612112261377 0.673487715470 3 1 4 2 0132 0132 0132 0132 2 1 1 2 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 2 -2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447774647276 0.742843724629 4 7 1 7 0132 0213 0132 3120 2 1 1 2 0 0 0 0 0 0 0 0 1 0 0 -1 1 -1 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 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648285821434 0.512943993795 6 4 6 1 3120 0132 0213 0132 2 1 1 2 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 1 -1 0 0 0 1 -1 -2 0 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648285821434 0.512943993795 2 10 10 11 0132 1023 1230 3120 0 1 1 2 0 3 -1 -2 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 -1 0 1 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 0.616731939820 0.764048747547 11 10 2 11 1230 0213 0132 0132 2 1 0 2 0 0 0 0 0 0 0 0 0 -2 0 2 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616731939820 0.764048747547 8 3 9 8 1023 0132 0213 3012 2 0 1 2 0 0 0 0 -3 0 2 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 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 0.616731939820 0.764048747547 8 9 9 3 3120 3012 0132 0132 2 1 1 0 0 0 0 0 0 0 0 0 -1 0 0 1 2 0 -2 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 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616731939820 0.764048747547 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_9'], 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : negation(d['c_0101_8']), 's_3_11' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0011_9'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : negation(d['1']), 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0011_9']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0011_9']), 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], '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_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_8, c_1001_0, c_1001_1, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 67286964015/15193089536*c_1001_5^6 + 51544535365/15193089536*c_1001_5^5 + 413054391229/15193089536*c_1001_5^4 + 57210885579/3798272384*c_1001_5^3 - 213835937323/15193089536*c_1001_5^2 - 29168497409/7596544768*c_1001_5 + 126625605927/15193089536, c_0011_0 - 1, c_0011_11 + 82197/65146*c_1001_5^6 + 36463/65146*c_1001_5^5 + 481977/65146*c_1001_5^4 + 59312/32573*c_1001_5^3 - 370721/65146*c_1001_5^2 + 22626/32573*c_1001_5 + 178565/65146, c_0011_4 + 11013390/29674003*c_1001_5^6 + 1337827/29674003*c_1001_5^5 + 66431920/29674003*c_1001_5^4 - 1909264/29674003*c_1001_5^3 - 25003971/29674003*c_1001_5^2 + 34118053/29674003*c_1001_5 + 23299115/29674003, c_0011_9 - 1, c_0101_0 - 14175981/29674003*c_1001_5^6 - 11503861/29674003*c_1001_5^5 - 84270503/29674003*c_1001_5^4 - 52789017/29674003*c_1001_5^3 + 59200296/29674003*c_1001_5^2 - 12095558/29674003*c_1001_5 - 29261819/29674003, c_0101_1 - 1, c_0101_2 + 14343498/29674003*c_1001_5^6 + 22169444/29674003*c_1001_5^5 + 88992537/29674003*c_1001_5^4 + 117431024/29674003*c_1001_5^3 - 48127202/29674003*c_1001_5^2 - 28191415/29674003*c_1001_5 + 44287100/29674003, c_0101_8 + 17014293/29674003*c_1001_5^6 + 607383/29674003*c_1001_5^5 + 98785647/29674003*c_1001_5^4 - 23935906/29674003*c_1001_5^3 - 74850981/29674003*c_1001_5^2 + 12742776/29674003*c_1001_5 + 52660787/29674003, c_1001_0 + 11013390/29674003*c_1001_5^6 + 1337827/29674003*c_1001_5^5 + 66431920/29674003*c_1001_5^4 - 1909264/29674003*c_1001_5^3 - 25003971/29674003*c_1001_5^2 + 4444050/29674003*c_1001_5 - 6374888/29674003, c_1001_1 + 14175981/29674003*c_1001_5^6 + 11503861/29674003*c_1001_5^5 + 84270503/29674003*c_1001_5^4 + 52789017/29674003*c_1001_5^3 - 59200296/29674003*c_1001_5^2 + 12095558/29674003*c_1001_5 + 29261819/29674003, c_1001_5^7 + 7/9*c_1001_5^6 + 55/9*c_1001_5^5 + 32/9*c_1001_5^4 - 29/9*c_1001_5^3 - 2/9*c_1001_5^2 + 25/9*c_1001_5 + 4/9, c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB