Magma V2.19-8 Tue Aug 20 2013 23:38:26 on localhost [Seed = 947805185] Type ? for help. Type -D to quit. Loading file "K11n122__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n122 geometric_solution 9.73049546 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426815449635 0.531994008605 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 0 0 0 -5 0 0 5 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.486039684907 0.908472551170 5 0 3 7 0132 0132 0321 0321 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 0 0 0 -1 0 0 1 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.319302984676 1.242007436038 7 8 2 0 0321 0132 0321 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 1 0 -1 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481967360766 0.652853018414 8 9 0 9 0213 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497730926028 0.523555778610 2 1 6 8 0132 0132 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 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 0 -4 0 4 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.074024806355 1.107192956686 5 9 1 10 2103 1230 0132 0132 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 0 0 0 0 -1 0 0 1 4 1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657282491022 1.294450179614 3 2 10 1 0321 0321 0132 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 -4 0 4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359740081629 0.500217910084 4 3 5 10 0213 0132 0132 0321 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 -1 1 0 0 0 1 -1 0 0 0 0 -1 5 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587624305623 0.845844182386 10 4 6 4 0321 0132 3012 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.497730926028 0.523555778610 9 8 6 7 0321 0321 0132 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 -0.614509299757 0.894270679569 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_10'], 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_10' : 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_0011_6']), 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_1001_2'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_1001_3'], 'c_1100_10' : d['c_1100_1'], 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_3'], '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'], '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' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_4'], 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : negation(d['c_0011_7']), 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0011_4'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : negation(d['c_0011_7']), 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : negation(d['c_0011_7']), 'c_0110_2' : negation(d['c_0011_7']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0011_7, c_0101_10, c_1001_0, c_1001_2, c_1001_3, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 13298/173*c_1100_1^5 + 177409/865*c_1100_1^4 + 196502/865*c_1100_1^3 + 88651/865*c_1100_1^2 + 27407/865*c_1100_1 + 6619/865, c_0011_0 - 1, c_0011_10 - 310/173*c_1100_1^5 - 616/173*c_1100_1^4 - 40/173*c_1100_1^3 + 488/173*c_1100_1^2 - 74/173*c_1100_1 - 157/173, c_0011_3 + 30/173*c_1100_1^5 - 52/173*c_1100_1^4 - 91/173*c_1100_1^3 - 170/173*c_1100_1^2 - 4/173*c_1100_1 - 102/173, c_0011_4 + 155/173*c_1100_1^5 + 308/173*c_1100_1^4 + 20/173*c_1100_1^3 - 244/173*c_1100_1^2 + 37/173*c_1100_1 + 165/173, c_0011_6 + 40/173*c_1100_1^5 + 219/173*c_1100_1^4 + 340/173*c_1100_1^3 + 4/173*c_1100_1^2 - 63/173*c_1100_1 + 37/173, c_0011_7 + 30/173*c_1100_1^5 - 52/173*c_1100_1^4 - 91/173*c_1100_1^3 - 170/173*c_1100_1^2 - 4/173*c_1100_1 + 71/173, c_0101_10 - 125/173*c_1100_1^5 - 360/173*c_1100_1^4 - 111/173*c_1100_1^3 + 74/173*c_1100_1^2 + 132/173*c_1100_1 - 94/173, c_1001_0 - 355/173*c_1100_1^5 - 538/173*c_1100_1^4 - 336/173*c_1100_1^3 + 51/173*c_1100_1^2 - 68/173*c_1100_1 - 4/173, c_1001_2 - 355/173*c_1100_1^5 - 538/173*c_1100_1^4 - 336/173*c_1100_1^3 + 51/173*c_1100_1^2 - 68/173*c_1100_1 - 4/173, c_1001_3 - 355/173*c_1100_1^5 - 538/173*c_1100_1^4 - 336/173*c_1100_1^3 + 51/173*c_1100_1^2 - 241/173*c_1100_1 - 4/173, c_1100_1^6 + 8/5*c_1100_1^5 + 4/5*c_1100_1^4 - 2/5*c_1100_1^3 + 1/5*c_1100_1^2 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB