Magma V2.19-8 Tue Aug 20 2013 23:56:04 on localhost [Seed = 1864959823] Type ? for help. Type -D to quit. Loading file "K12n708__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n708 geometric_solution 11.99467497 oriented_manifold CS_known 0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 1 -2 0 2 0 -2 2 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.108226420436 0.776022694194 0 5 2 3 0132 0132 0321 0321 0 0 0 0 0 0 0 0 1 0 -1 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 2 0 -2 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 0.170938945883 1.455787985682 6 0 1 7 0132 0132 0321 0132 0 0 0 0 0 0 0 0 0 0 1 -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 1 0 -1 0 0 2 -2 0 1 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506540854390 1.048363973326 8 1 9 0 0132 0321 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -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 0 0 0 2 0 0 -2 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774163393769 1.009347308642 6 10 0 8 3201 0132 0132 0213 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 -1 1 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 0.818985320146 0.743518182379 11 1 7 10 0132 0132 0213 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413909843680 0.734612864564 2 11 7 4 0132 0132 0132 2310 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 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 0 0 0 0 0 0.506471465327 0.407454165353 12 5 2 6 0132 0213 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 1 -1 -1 0 2 -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 -0.014588391806 1.554894700878 3 12 12 4 0132 3201 2031 0213 0 0 0 0 0 0 0 0 -1 0 1 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 -2 0 1 1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456225137244 0.659325722993 11 10 12 3 2031 0321 3012 0132 0 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 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 0 0 0.089678435588 0.656405868598 5 4 11 9 3120 0132 1230 0321 0 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 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 0 0 0.508227712513 0.375041028746 5 6 9 10 0132 0132 1302 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.169425438599 0.702859083408 7 9 8 8 0132 1230 2310 1302 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 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 0.290310538147 1.025626339581 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_1']), 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : d['c_0101_9'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_9']), 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1001_12']), 'c_1100_8' : negation(d['c_0101_9']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_1001_12']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : negation(d['c_1001_12']), 'c_1100_3' : negation(d['c_1001_12']), 'c_1100_2' : negation(d['c_0011_10']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : negation(d['c_0011_12']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : negation(d['c_0101_9']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_1001_12']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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'], 'c_1100_12' : negation(d['c_0011_3']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_0'], '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_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0101_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : d['c_0101_12'], 'c_0101_5' : negation(d['c_0011_12']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0101_12'], 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0101_12'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_9, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0101_9, c_1001_0, c_1001_12, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 4371/13*c_1001_2^9 - 16696/13*c_1001_2^8 + 13796/13*c_1001_2^7 + 37008/13*c_1001_2^6 - 33613/13*c_1001_2^5 - 50690/13*c_1001_2^4 + 31166/13*c_1001_2^3 + 31004/13*c_1001_2^2 - 11894/13*c_1001_2 - 8703/13, c_0011_0 - 1, c_0011_10 + 4*c_1001_2^9 + 12*c_1001_2^8 - 23*c_1001_2^7 - 17*c_1001_2^6 + 46*c_1001_2^5 + 11*c_1001_2^4 - 39*c_1001_2^3 + 12*c_1001_2 - 1, c_0011_12 - 2*c_1001_2^9 - 3*c_1001_2^8 + 21*c_1001_2^7 - 7*c_1001_2^6 - 38*c_1001_2^5 + 25*c_1001_2^4 + 33*c_1001_2^3 - 24*c_1001_2^2 - 10*c_1001_2 + 7, c_0011_3 + c_1001_2^8 + 3*c_1001_2^7 - 6*c_1001_2^6 - 5*c_1001_2^5 + 13*c_1001_2^4 + 4*c_1001_2^3 - 13*c_1001_2^2 - c_1001_2 + 5, c_0011_9 - 13*c_1001_2^9 - 31*c_1001_2^8 + 97*c_1001_2^7 + 5*c_1001_2^6 - 172*c_1001_2^5 + 54*c_1001_2^4 + 135*c_1001_2^3 - 71*c_1001_2^2 - 34*c_1001_2 + 21, c_0101_1 + c_1001_2^9 + 4*c_1001_2^8 - 3*c_1001_2^7 - 10*c_1001_2^6 + 11*c_1001_2^5 + 12*c_1001_2^4 - 11*c_1001_2^3 - 6*c_1001_2^2 + 6*c_1001_2 + 1, c_0101_10 - 7*c_1001_2^9 - 19*c_1001_2^8 + 45*c_1001_2^7 + 15*c_1001_2^6 - 81*c_1001_2^5 + 5*c_1001_2^4 + 64*c_1001_2^3 - 18*c_1001_2^2 - 16*c_1001_2 + 6, c_0101_12 - 4*c_1001_2^9 - 8*c_1001_2^8 + 35*c_1001_2^7 - 5*c_1001_2^6 - 60*c_1001_2^5 + 30*c_1001_2^4 + 48*c_1001_2^3 - 32*c_1001_2^2 - 12*c_1001_2 + 9, c_0101_3 + 5*c_1001_2^9 + 15*c_1001_2^8 - 29*c_1001_2^7 - 22*c_1001_2^6 + 59*c_1001_2^5 + 15*c_1001_2^4 - 52*c_1001_2^3 - c_1001_2^2 + 17*c_1001_2 - 1, c_0101_9 + 2*c_1001_2^9 + 3*c_1001_2^8 - 20*c_1001_2^7 + 10*c_1001_2^6 + 33*c_1001_2^5 - 27*c_1001_2^4 - 25*c_1001_2^3 + 26*c_1001_2^2 + 6*c_1001_2 - 7, c_1001_0 - c_1001_2^9 + 15*c_1001_2^7 - 12*c_1001_2^6 - 25*c_1001_2^5 + 29*c_1001_2^4 + 20*c_1001_2^3 - 25*c_1001_2^2 - 5*c_1001_2 + 7, c_1001_12 - 7*c_1001_2^9 - 20*c_1001_2^8 + 42*c_1001_2^7 + 20*c_1001_2^6 - 79*c_1001_2^5 - 3*c_1001_2^4 + 62*c_1001_2^3 - 13*c_1001_2^2 - 16*c_1001_2 + 5, c_1001_2^10 + 3*c_1001_2^9 - 6*c_1001_2^8 - 5*c_1001_2^7 + 13*c_1001_2^6 + 4*c_1001_2^5 - 13*c_1001_2^4 - c_1001_2^3 + 6*c_1001_2^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.370 Total time: 3.580 seconds, Total memory usage: 64.12MB