Magma V2.19-8 Wed Aug 21 2013 00:51:35 on localhost [Seed = 3819304599] Type ? for help. Type -D to quit. Loading file "L11n161__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n161 geometric_solution 12.25540560 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 0132 1 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 0 0 0 0 0 1 -1 0 0 0 0 1 -2 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500871710020 1.499331578029 0 4 0 5 0132 0132 3012 0132 0 1 0 1 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 0 0 0 0 0 0 -1 -1 0 2 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799560529000 0.600004397018 6 7 5 0 0132 0132 1230 0132 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 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 -0.298688818980 0.899327181011 8 6 0 5 0132 1230 0132 1230 1 1 0 1 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 -1 1 0 0 0 0 0 2 0 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.236195202931 1.062686437061 9 1 7 9 0132 0132 3201 2031 0 0 1 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628445628748 0.753581493581 3 10 1 2 3012 0132 0132 3012 0 1 1 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.780553596143 0.538511682173 2 11 3 8 0132 0132 3012 2103 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 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 0.775241019396 0.667372746858 4 2 12 12 2310 0132 0132 0321 1 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 -1 1 0 1 0 1 -2 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347292567455 0.782674298918 3 10 11 6 0132 2031 1023 2103 0 1 1 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 -1 1 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441190357946 0.832263386220 4 4 12 11 0132 1302 3120 3120 0 0 0 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 0 0 0 0 2 -2 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 0.347292567455 0.782674298918 8 5 11 12 1302 0132 1230 2310 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429832416671 0.559992996069 9 6 8 10 3120 0132 1023 3012 1 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 1 0 0 0 0 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 0.892723587664 0.876793018640 10 7 9 7 3201 0321 3120 0132 1 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 1 -1 0 0 1 -1 0 -1 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526327410534 1.067490054837 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0101_2']), 'c_1001_12' : negation(d['c_0101_9']), 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : negation(d['c_0101_7']), 's_0_10' : d['1'], 's_3_10' : 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' : d['c_0101_11'], 'c_0101_10' : d['c_0011_3'], '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_0101_11']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0110_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_2'], 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_0011_10'], '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_0101_9']), '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_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0101_2'], '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' : d['c_0011_11'], 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_11'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_12'], '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_0101_9'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_10']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_12']), 'c_1100_8' : negation(d['c_0101_2'])})} 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_11, c_0011_12, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_0101_9, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1527/55*c_1001_0^5 - 1548/11*c_1001_0^4 - 13749/55*c_1001_0^3 - 11146/55*c_1001_0^2 - 1576/11*c_1001_0 + 72/55, c_0011_0 - 1, c_0011_10 - c_1001_0^5 - 6*c_1001_0^4 - 14*c_1001_0^3 - 16*c_1001_0^2 - 11*c_1001_0 - 3, c_0011_11 + c_1001_0^4 + 3*c_1001_0^3 + 3*c_1001_0^2 + 3*c_1001_0 + 1, c_0011_12 - 2*c_1001_0^5 - 12*c_1001_0^4 - 26*c_1001_0^3 - 27*c_1001_0^2 - 20*c_1001_0 - 5, c_0011_3 - c_1001_0^3 - 3*c_1001_0^2 - 2*c_1001_0 - 1, c_0101_0 + 3*c_1001_0^5 + 17*c_1001_0^4 + 36*c_1001_0^3 + 38*c_1001_0^2 + 27*c_1001_0 + 7, c_0101_1 - 1, c_0101_11 - c_1001_0^5 - 6*c_1001_0^4 - 13*c_1001_0^3 - 13*c_1001_0^2 - 9*c_1001_0 - 2, c_0101_2 + 3*c_1001_0^5 + 17*c_1001_0^4 + 36*c_1001_0^3 + 37*c_1001_0^2 + 26*c_1001_0 + 6, c_0101_7 + 3*c_1001_0^5 + 17*c_1001_0^4 + 36*c_1001_0^3 + 38*c_1001_0^2 + 28*c_1001_0 + 7, c_0101_9 + c_1001_0 + 1, c_0110_5 + 3*c_1001_0^5 + 17*c_1001_0^4 + 36*c_1001_0^3 + 38*c_1001_0^2 + 28*c_1001_0 + 7, c_1001_0^6 + 6*c_1001_0^5 + 14*c_1001_0^4 + 17*c_1001_0^3 + 14*c_1001_0^2 + 6*c_1001_0 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_0101_9, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1354195/562432*c_0110_5^9 + 6828625/562432*c_0110_5^8 + 10879259/281216*c_0110_5^7 + 22927893/281216*c_0110_5^6 + 70010827/562432*c_0110_5^5 + 80046959/562432*c_0110_5^4 + 4983083/43264*c_0110_5^3 + 37471737/562432*c_0110_5^2 + 11804249/562432*c_0110_5 - 2835249/562432, c_0011_0 - 1, c_0011_10 + c_0110_5^3 + c_0110_5^2 + 2*c_0110_5 + 1, c_0011_11 - c_0110_5, c_0011_12 + 1/2*c_0110_5^9 + 5/2*c_0110_5^8 + 15/2*c_0110_5^7 + 29/2*c_0110_5^6 + 41/2*c_0110_5^5 + 21*c_0110_5^4 + 16*c_0110_5^3 + 9*c_0110_5^2 + 7/2*c_0110_5 + 1, c_0011_3 + c_0110_5^2 + c_0110_5 + 1, c_0101_0 - c_0110_5 - 1, c_0101_1 - 1, c_0101_11 + c_0110_5^6 + 2*c_0110_5^5 + 4*c_0110_5^4 + 4*c_0110_5^3 + 3*c_0110_5^2 + 2*c_0110_5, c_0101_2 - c_0110_5^2 - c_0110_5 - 1, c_0101_7 - c_0110_5, c_0101_9 - 1/2*c_0110_5^9 - 2*c_0110_5^8 - 11/2*c_0110_5^7 - 19/2*c_0110_5^6 - 12*c_0110_5^5 - 11*c_0110_5^4 - 13/2*c_0110_5^3 - 5/2*c_0110_5^2 + 1/2*c_0110_5 + 1, c_0110_5^10 + 5*c_0110_5^9 + 16*c_0110_5^8 + 34*c_0110_5^7 + 53*c_0110_5^6 + 63*c_0110_5^5 + 55*c_0110_5^4 + 37*c_0110_5^3 + 17*c_0110_5^2 + 3*c_0110_5 + 2, c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.730 Total time: 0.940 seconds, Total memory usage: 32.09MB