Magma V2.19-8 Tue Aug 20 2013 23:46:10 on localhost [Seed = 3153973690] Type ? for help. Type -D to quit. Loading file "K14n14433__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n14433 geometric_solution 10.26229047 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 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 -1 0 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 0.495716155974 0.768146340663 0 5 2 6 0132 0132 2031 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 -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 0.786327985543 0.854078296456 7 0 3 1 0132 0132 0321 1302 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 -1 -1 0 1 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 1.193212340317 1.773151856960 8 9 2 0 0132 0132 0321 0132 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 -1 1 5 -5 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.943840683938 0.748113715988 9 10 0 5 3012 0132 0132 0132 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 5 -1 -4 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 0.591750030501 0.965199259815 6 1 4 8 0132 0132 0132 0132 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 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 0 0 0 0.987791826543 0.490823171857 5 10 1 9 0132 0213 0132 3012 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 -5 0 5 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 0.676507579929 0.266919815579 2 11 11 10 0132 0132 3201 3120 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 0 0 1 0 -1 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.662019364778 0.562019749028 3 11 5 10 0132 1302 0132 0213 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 -4 4 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.963676801194 0.544413417367 11 3 6 4 2031 0132 1230 1230 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 0 0 0 0 0 0 0 -1 0 1 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.128717192552 0.910709854547 7 4 6 8 3120 0132 0213 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 -5 5 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 -0.255116065577 0.248229666482 7 7 9 8 2310 0132 1302 2031 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 0 0 0 -4 0 0 4 1 4 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471694837322 0.804245702849 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_5'], 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_7']), 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_3'], 'c_0101_10' : negation(d['c_0011_0']), '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_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : d['c_1001_2'], 'c_1100_7' : d['c_0011_0'], 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_5'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : negation(d['c_0101_9']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0101_9']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_1'], 'c_1010_8' : negation(d['c_0101_9']), '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' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(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_0101_7']), 'c_0110_10' : d['c_0101_2'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(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_9'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0101_2']), '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_0101_7'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : d['c_1001_2']})} 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_10, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_7, c_0101_9, c_1001_0, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 52773/50*c_1001_2^2 + 63791/100*c_1001_2 - 28351/100, c_0011_0 - 1, c_0011_10 - 7/4*c_1001_2^2 + 3/2*c_1001_2 - 3/4, c_0011_3 - 7/4*c_1001_2^2 - 1/2*c_1001_2 - 3/4, c_0101_0 + c_1001_2 - 1, c_0101_1 - 1/2*c_1001_2 - 1/2, c_0101_2 + 7/4*c_1001_2^2 + 1/2*c_1001_2 - 1/4, c_0101_5 + 3/2*c_1001_2 - 1/2, c_0101_7 + 7/4*c_1001_2^2 + 1/4, c_0101_9 - 7/4*c_1001_2^2 - 1/2*c_1001_2 + 1/4, c_1001_0 + 7/4*c_1001_2^2 + 1/4, c_1001_10 + 1/2*c_1001_2 - 1/2, c_1001_2^3 - 1/7*c_1001_2^2 + 1/7*c_1001_2 + 1/7 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_7, c_0101_9, c_1001_0, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 3294435/161*c_1001_2^5 + 9446272/161*c_1001_2^4 - 69581839/2415*c_1001_2^3 + 1729703/4830*c_1001_2^2 - 11719033/4830*c_1001_2 + 1211342/483, c_0011_0 - 1, c_0011_10 - 25*c_1001_2^5 + 135/2*c_1001_2^4 - 24*c_1001_2^3 - 9/2*c_1001_2^2 - c_1001_2 + 3, c_0011_3 + 25/4*c_1001_2^5 - 55/4*c_1001_2^4 - 3/2*c_1001_2^3 + 2*c_1001_2^2 + 1/4*c_1001_2 + 3/4, c_0101_0 + 75/4*c_1001_2^5 - 215/4*c_1001_2^4 + 51/2*c_1001_2^3 + 5/2*c_1001_2^2 + 7/4*c_1001_2 - 11/4, c_0101_1 + 25/2*c_1001_2^5 - 135/4*c_1001_2^4 + 12*c_1001_2^3 + c_1001_2^2 + 5/2*c_1001_2 - 5/4, c_0101_2 - 25/4*c_1001_2^5 + 55/4*c_1001_2^4 + 3/2*c_1001_2^3 - 2*c_1001_2^2 - 1/4*c_1001_2 + 1/4, c_0101_5 - 125/4*c_1001_2^5 + 175/2*c_1001_2^4 - 75/2*c_1001_2^3 - 7/2*c_1001_2^2 - 17/4*c_1001_2 + 4, c_0101_7 + 25/4*c_1001_2^5 - 20*c_1001_2^4 + 27/2*c_1001_2^3 - c_1001_2^2 + 5/4*c_1001_2 - 1, c_0101_9 - 25/4*c_1001_2^5 + 55/4*c_1001_2^4 + 3/2*c_1001_2^3 - 2*c_1001_2^2 - 1/4*c_1001_2 + 1/4, c_1001_0 + 25/2*c_1001_2^5 - 135/4*c_1001_2^4 + 29/2*c_1001_2^3 - 3*c_1001_2^2 + 2*c_1001_2 - 5/4, c_1001_10 - 25/4*c_1001_2^4 + 15*c_1001_2^3 - 3*c_1001_2^2 + c_1001_2 - 3/4, c_1001_2^6 - 16/5*c_1001_2^5 + 59/25*c_1001_2^4 - 12/25*c_1001_2^3 + 3/25*c_1001_2^2 - 4/25*c_1001_2 + 1/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.220 Total time: 2.430 seconds, Total memory usage: 64.12MB