Magma V2.19-8 Tue Aug 20 2013 23:56:35 on localhost [Seed = 274102296] Type ? for help. Type -D to quit. Loading file "L14n23986__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23986 geometric_solution 10.65025794 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 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 1 -1 -1 0 -2 3 -4 0 0 4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796356700484 1.060922289046 0 3 6 5 0132 3120 0132 0132 0 0 1 1 0 -1 1 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 3 -3 0 1 0 -1 0 1 0 0 -1 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515643023428 0.503780441795 7 0 6 7 0132 0132 3012 2031 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 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 0.536624460953 1.082632823746 5 1 7 0 0132 3120 2031 0132 1 0 1 0 0 0 0 0 1 0 0 -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 1 0 -1 -3 0 1 2 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.360520853852 0.444465665347 8 9 0 6 0132 0132 0132 3012 1 0 0 1 0 0 0 0 0 0 1 -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 1 0 0 0 -3 3 0 -1 0 1 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373595957294 0.559715820663 3 8 1 10 0132 0132 0132 0132 0 0 0 1 0 0 0 0 -1 0 0 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 0 0 0 3 0 0 -3 -3 3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.150499401332 1.211826224697 9 2 4 1 3120 1230 1230 0132 0 0 1 1 0 0 1 -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 -3 3 0 0 -1 1 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.299309310600 0.643333506402 2 2 9 3 0132 1302 3120 1302 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 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 0.632464013732 0.741499040008 4 5 10 9 0132 0132 2031 3120 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 0 0 0 0 -1 1 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587955349183 0.434008494943 8 4 7 6 3120 0132 3120 3120 1 0 1 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 1 -1 0 0 0 0 0 0 -3 0 3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921168460970 0.795174373467 11 11 5 8 0132 3201 0132 1302 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138517926257 0.543527242581 10 11 10 11 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.054308797435 0.819317514298 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_0101_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : negation(d['c_0101_6']), 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0101_10']), '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_11'], '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' : negation(d['c_0101_6']), 'c_1100_8' : d['c_0101_10'], 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : negation(d['c_1001_6']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : negation(d['c_1001_6']), 'c_1100_3' : negation(d['c_1001_6']), 'c_1100_2' : negation(d['c_1001_6']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0101_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_6'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_11']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_0101_10'], 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], '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_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} 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_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_0101_8, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 2869487/10982*c_1001_6^14 + 19850410/5491*c_1001_6^13 - 1044035303/43928*c_1001_6^12 + 2157106927/21964*c_1001_6^11 - 12534713099/43928*c_1001_6^10 + 27184321919/43928*c_1001_6^9 - 11405993411/10982*c_1001_6^8 + 15146609809/10982*c_1001_6^7 - 32203143015/21964*c_1001_6^6 + 6864628412/5491*c_1001_6^5 - 4657949361/5491*c_1001_6^4 + 9865439247/21964*c_1001_6^3 - 977781691/5491*c_1001_6^2 + 1055584759/21964*c_1001_6 - 143472015/21964, c_0011_0 - 1, c_0011_10 + c_1001_6^14 - 12*c_1001_6^13 + 69*c_1001_6^12 - 252*c_1001_6^11 + 656*c_1001_6^10 - 1296*c_1001_6^9 + 2018*c_1001_6^8 - 2532*c_1001_6^7 + 2587*c_1001_6^6 - 2156*c_1001_6^5 + 1455*c_1001_6^4 - 780*c_1001_6^3 + 319*c_1001_6^2 - 92*c_1001_6 + 15, c_0011_3 + c_1001_6^4 - 3*c_1001_6^3 + 4*c_1001_6^2 - 3*c_1001_6 + 2, c_0011_6 - c_1001_6 + 1, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - c_1001_6^5 + 3*c_1001_6^4 - 5*c_1001_6^3 + 5*c_1001_6^2 - 3*c_1001_6 + 1, c_0101_11 + c_1001_6^9 - 7*c_1001_6^8 + 23*c_1001_6^7 - 47*c_1001_6^6 + 68*c_1001_6^5 - 74*c_1001_6^4 + 61*c_1001_6^3 - 37*c_1001_6^2 + 16*c_1001_6 - 4, c_0101_2 + c_1001_6^3 - 2*c_1001_6^2 + c_1001_6 - 1, c_0101_6 - c_1001_6^2 + c_1001_6 - 1, c_0101_8 + c_1001_6^4 - 2*c_1001_6^3 + 2*c_1001_6^2 - 2*c_1001_6 + 1, c_1001_6^15 - 14*c_1001_6^14 + 94*c_1001_6^13 - 401*c_1001_6^12 + 1218*c_1001_6^11 - 2801*c_1001_6^10 + 5063*c_1001_6^9 - 7364*c_1001_6^8 + 8736*c_1001_6^7 - 8500*c_1001_6^6 + 6772*c_1001_6^5 - 4376*c_1001_6^4 + 2246*c_1001_6^3 - 880*c_1001_6^2 + 242*c_1001_6 - 38 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB