Magma V2.19-8 Tue Aug 20 2013 23:41:34 on localhost [Seed = 1679950035] Type ? for help. Type -D to quit. Loading file "L12n1959__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1959 geometric_solution 9.94759787 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 2 1 2 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 4 0 -3 -1 2 -2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.044452200692 0.550049098428 0 2 6 5 0132 0321 0132 0132 1 2 2 1 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 1 -1 0 -4 0 4 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 0.462166890989 0.716769105565 4 0 4 1 3012 0132 2310 0321 1 1 2 1 0 0 0 0 1 0 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 1 0 -1 1 0 1 -2 1 -1 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.912727176338 0.989464881466 7 8 4 0 0132 0132 2103 0132 1 2 2 1 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 0 0 0 0 -3 0 0 3 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462166890989 0.716769105565 3 2 0 2 2103 3201 0132 1230 1 2 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 0 0 0 0 0 0 0 0 2 -1 -1 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 0.912727176338 0.989464881466 7 9 1 10 2103 0132 0132 0132 1 2 0 2 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 0 0 0 0 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357711681128 1.260194322747 10 8 8 1 3201 0321 2103 0132 1 2 1 2 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 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357711681128 1.260194322747 3 9 5 10 0132 3201 2103 3201 0 2 1 2 0 0 -1 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 -2 2 3 0 0 -3 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357711681128 1.260194322747 6 3 9 6 2103 0132 0132 0321 1 2 1 2 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 0 0 0 0 0.357711681128 1.260194322747 10 5 7 8 0213 0132 2310 0132 1 2 2 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 0 0 0 0 3 0 1 -4 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383246538893 0.294080586810 9 7 5 6 0213 2310 0132 2310 1 2 2 0 0 0 0 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 -3 3 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383246538893 0.294080586810 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0101_1']), '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_0011_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : negation(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_3']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_0'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 'c_1100_10' : d['c_0011_6'], 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : d['c_0011_4'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_1'], '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' : negation(d['c_0101_6']), 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], '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_0011_10'], 'c_0101_8' : d['c_0101_6'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : negation(d['c_0011_6']), '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_0'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0011_3'])})} 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_0101_0, c_0101_1, c_0101_2, c_0101_6, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 7045/62064*c_1001_10^5 + 17593/62064*c_1001_10^4 + 2537/15516*c_1001_10^3 + 84005/20688*c_1001_10^2 + 17467/7758*c_1001_10 + 1723/5172, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 + 67/862*c_1001_10^5 + 32/431*c_1001_10^4 + 415/862*c_1001_10^3 - 1/862*c_1001_10^2 - 617/862*c_1001_10 + 668/431, c_0011_4 + 12/431*c_1001_10^5 - 40/431*c_1001_10^4 + 10/431*c_1001_10^3 - 161/431*c_1001_10^2 - 207/431*c_1001_10 + 27/431, c_0011_6 + 67/862*c_1001_10^5 + 32/431*c_1001_10^4 + 415/862*c_1001_10^3 - 1/862*c_1001_10^2 - 617/862*c_1001_10 + 668/431, c_0101_0 - 1, c_0101_1 + 67/862*c_1001_10^5 + 32/431*c_1001_10^4 + 415/862*c_1001_10^3 - 1/862*c_1001_10^2 + 245/862*c_1001_10 + 668/431, c_0101_2 + 43/862*c_1001_10^5 + 72/431*c_1001_10^4 + 395/862*c_1001_10^3 + 321/862*c_1001_10^2 - 203/862*c_1001_10 + 210/431, c_0101_6 + 334/1293*c_1001_10^5 + 467/1293*c_1001_10^4 + 2146/1293*c_1001_10^3 - 81/431*c_1001_10^2 - 1667/1293*c_1001_10 + 2190/431, c_1001_0 + 67/862*c_1001_10^5 + 32/431*c_1001_10^4 + 415/862*c_1001_10^3 - 1/862*c_1001_10^2 + 245/862*c_1001_10 + 668/431, c_1001_10^6 + 2*c_1001_10^5 + 7*c_1001_10^4 + 3*c_1001_10^3 - 5*c_1001_10^2 + 18*c_1001_10 + 12 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB