Magma V2.19-8 Wed Aug 21 2013 01:10:54 on localhost [Seed = 1014638038] Type ? for help. Type -D to quit. Loading file "L14n55094__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n55094 geometric_solution 12.78228243 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 3120 0 2 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 1 2 -3 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 0.425971024198 0.637821002180 0 2 4 4 0132 2310 2103 0132 0 2 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 0 6 -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 0.425971024198 0.637821002180 5 0 5 1 0132 0132 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.149106721038 1.315514116897 0 4 6 0 3120 3120 0132 0132 0 2 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 0 2 -2 0 0 -1 1 0 0 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.779586537156 0.866222242038 1 3 1 7 2103 3120 0132 0132 0 2 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 2 0 -2 -6 0 5 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 0.275888219895 1.084237366019 2 2 8 9 0132 3201 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.161611866170 0.956258532528 7 8 7 3 3120 1023 2103 0132 0 2 0 0 0 1 0 -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 2 0 -2 0 0 -1 1 0 -1 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.361722453122 0.787314032747 6 9 4 6 2103 3120 0132 3120 0 2 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 2 -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 0 0 0 0 0.518157304027 1.048764080976 6 10 11 5 1023 0132 0132 0132 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 -2 0 2 0 1 -1 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464899423418 0.731512806395 12 7 5 11 0132 3120 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.464899423418 0.731512806395 12 8 12 12 1023 0132 2031 3012 0 1 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 3 0 1 -4 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723036827178 1.118206124195 11 9 11 8 2031 2310 1302 0132 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 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 2 -2 -2 0 0 2 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.726012080484 0.777051696597 9 10 10 10 0132 1023 1230 1302 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 0 0 0 0 0 0 0 -3 4 -1 0 0 -1 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723036827178 1.118206124195 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : negation(d['c_0101_2']), 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(d['c_0101_12']), 's_0_10' : d['1'], 's_0_11' : negation(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' : negation(d['c_0011_11']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : negation(d['c_0101_10']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : negation(d['c_0101_2']), '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'], 'c_1100_12' : d['c_0101_10'], '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_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), '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_7'], 'c_0110_10' : d['c_0101_10'], 'c_0110_12' : d['c_0101_2'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : d['c_0011_7'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3']})} 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_3, c_0011_4, c_0011_7, c_0101_0, c_0101_10, c_0101_12, c_0101_2, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 18150665695219/50810226912*c_0101_6^10 + 76541731028549/50810226912*c_0101_6^9 - 253754918606849/101620453824*c_0101_6^8 + 1367832181268227/406481815296*c_0101_6^7 - 776997384689497/203240907648*c_0101_6^6 + 117676477618141/33873484608*c_0101_6^5 - 253390447135141/101620453824*c_0101_6^4 + 644893126117543/406481815296*c_0101_6^3 - 318877910611943/406481815296*c_0101_6^2 + 8922155124671/33873484608*c_0101_6 - 30251678171105/406481815296, c_0011_0 - 1, c_0011_10 - 4*c_0101_6^10 + 28*c_0101_6^9 - 62*c_0101_6^8 + 129/2*c_0101_6^7 - 71*c_0101_6^6 + 59*c_0101_6^5 - 34*c_0101_6^4 + 23/2*c_0101_6^3 - 9/2*c_0101_6^2 - 2*c_0101_6 + 3/2, c_0011_11 + 24*c_0101_6^10 - 88*c_0101_6^9 + 124*c_0101_6^8 - 179*c_0101_6^7 + 196*c_0101_6^6 - 173*c_0101_6^5 + 122*c_0101_6^4 - 85*c_0101_6^3 + 36*c_0101_6^2 - 15*c_0101_6 + 5, c_0011_3 + c_0101_6^2, c_0011_4 + c_0101_6^2 + c_0101_6, c_0011_7 + 4*c_0101_6^10 - 28*c_0101_6^9 + 62*c_0101_6^8 - 129/2*c_0101_6^7 + 71*c_0101_6^6 - 59*c_0101_6^5 + 34*c_0101_6^4 - 23/2*c_0101_6^3 + 11/2*c_0101_6^2 + 2*c_0101_6 - 3/2, c_0101_0 - 1, c_0101_10 - 1, c_0101_12 + 4*c_0101_6^10 - 4*c_0101_6^9 - 10*c_0101_6^8 - 25/2*c_0101_6^7 + 20*c_0101_6^6 - 29*c_0101_6^5 + 36*c_0101_6^4 - 79/2*c_0101_6^3 + 45/2*c_0101_6^2 - 14*c_0101_6 + 11/2, c_0101_2 + 8*c_0101_6^10 - 32*c_0101_6^9 + 52*c_0101_6^8 - 77*c_0101_6^7 + 91*c_0101_6^6 - 88*c_0101_6^5 + 70*c_0101_6^4 - 51*c_0101_6^3 + 27*c_0101_6^2 - 12*c_0101_6 + 4, c_0101_3 + c_0101_6, c_0101_5 - c_0101_6^2, c_0101_6^11 - 4*c_0101_6^10 + 13/2*c_0101_6^9 - 77/8*c_0101_6^8 + 91/8*c_0101_6^7 - 11*c_0101_6^6 + 35/4*c_0101_6^5 - 51/8*c_0101_6^4 + 7/2*c_0101_6^3 - 13/8*c_0101_6^2 + 5/8*c_0101_6 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB