Magma V2.19-8 Tue Aug 20 2013 23:46:40 on localhost [Seed = 38037539] Type ? for help. Type -D to quit. Loading file "K14n24551__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n24551 geometric_solution 11.37145911 oriented_manifold CS_known -0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 23 1 -24 -24 0 24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528912429082 0.750347293982 0 5 6 5 0132 0132 0132 1302 0 0 0 0 0 -1 1 0 -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 23 -23 0 24 0 -24 0 0 23 0 -23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593433760883 0.885731502362 7 0 8 4 0132 0132 0132 0213 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 -23 23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197201472022 0.346165831588 5 9 9 0 3012 0132 0321 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 1 0 -1 0 0 24 -24 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481267870756 0.839589345600 10 7 0 2 0132 0132 0132 0213 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 -24 24 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 0.812710903585 0.559661540620 10 1 1 3 1023 0132 2031 1230 0 0 0 0 0 1 -1 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 -23 23 0 0 0 0 0 -1 0 0 1 23 -23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582838021116 0.826976620673 11 11 8 1 0132 0321 0321 0132 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 0 -23 23 0 0 -24 24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428047187499 0.932529172341 2 4 10 8 0132 0132 0321 0321 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 24 -24 0 0 0 -23 23 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537726212335 1.606845706383 9 7 6 2 3201 0321 0321 0132 0 0 0 0 0 0 -1 1 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 23 -23 0 0 0 0 -1 1 0 0 -1 -23 24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528912429082 0.750347293982 11 3 3 8 1230 0132 0321 2310 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 -1 0 1 0 0 -1 1 0 0 0 0 24 0 -24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481267870756 0.839589345600 4 5 7 11 0132 1023 0321 0132 0 0 0 0 0 0 -1 1 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 24 -24 0 0 0 0 -1 1 0 0 0 -23 23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.341097562113 0.706958568133 6 9 10 6 0132 3012 0132 0321 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 -24 24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582838021116 0.826976620673 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : d['c_0101_5'], 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_8'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : d['c_0101_3'], 'c_1010_10' : d['c_0011_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_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_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' : d['c_0011_8'], 'c_1100_8' : d['c_1001_6'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_6'], 'c_1100_10' : d['c_1001_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_1001_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_8'], 'c_1010_8' : d['c_1001_2'], '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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), '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' : d['c_0011_11'], 'c_0110_10' : d['c_0101_1'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_8']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : negation(d['c_0011_8']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_1']})} 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_3, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_1001_0, c_1001_2, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 111267/70*c_1001_6^3 - 12273/5*c_1001_6^2 + 121526/35*c_1001_6 + 32729/15, c_0011_0 - 1, c_0011_11 - 3/5*c_1001_6^3 - 8/5*c_1001_6^2 + 19/15*c_1001_6 + 3/5, c_0011_3 + 3/5*c_1001_6^3 + c_1001_6^2 - 7/15*c_1001_6 - 6/5, c_0011_8 + 3/5*c_1001_6^2 + 1/5*c_1001_6 - 2/5, c_0101_0 + 6/5*c_1001_6^3 + 7/5*c_1001_6^2 - 47/15*c_1001_6, c_0101_1 + 3/5*c_1001_6^2 + 1/5*c_1001_6 - 2/5, c_0101_10 + 12/5*c_1001_6^3 + 4*c_1001_6^2 - 73/15*c_1001_6 - 9/5, c_0101_3 + 6/5*c_1001_6^3 + 2*c_1001_6^2 - 29/15*c_1001_6 - 7/5, c_0101_5 + 3/5*c_1001_6^3 + 2/5*c_1001_6^2 - 5/3*c_1001_6 + 1/5, c_1001_0 - 3/5*c_1001_6^3 - 2/5*c_1001_6^2 + 5/3*c_1001_6 - 1/5, c_1001_2 - 3/5*c_1001_6^3 - c_1001_6^2 + 7/15*c_1001_6 + 6/5, c_1001_6^4 + 2/3*c_1001_6^3 - 31/9*c_1001_6^2 + 2/3*c_1001_6 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_1001_0, c_1001_2, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 283/24*c_1001_2^3 + 49/4*c_1001_2^2 + 2797/12*c_1001_2 + 653/2, c_0011_0 - 1, c_0011_11 - 1/6*c_1001_2^3 + 5/6*c_1001_2^2 + 1/3*c_1001_2 - 2/3, c_0011_3 + c_1001_2, c_0011_8 + 1/18*c_1001_2^3 - 4/9*c_1001_2^2 + 2/9*c_1001_2 + 5/9, c_0101_0 + 1/6*c_1001_2^3 - 5/6*c_1001_2^2 - 1/3*c_1001_2 + 2/3, c_0101_1 + 1/18*c_1001_2^3 - 4/9*c_1001_2^2 + 2/9*c_1001_2 + 5/9, c_0101_10 + 5/18*c_1001_2^3 - 11/9*c_1001_2^2 - 17/9*c_1001_2 + 16/9, c_0101_3 - 1/6*c_1001_2^3 + 5/6*c_1001_2^2 + 4/3*c_1001_2 - 2/3, c_0101_5 + 1/18*c_1001_2^3 - 4/9*c_1001_2^2 + 2/9*c_1001_2 + 5/9, c_1001_0 - 1/18*c_1001_2^3 + 4/9*c_1001_2^2 - 2/9*c_1001_2 - 5/9, c_1001_2^4 - 4*c_1001_2^3 - 10*c_1001_2^2 + 8*c_1001_2 + 4, c_1001_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.860 Total time: 1.070 seconds, Total memory usage: 32.09MB