Magma V2.19-8 Tue Aug 20 2013 23:52:32 on localhost [Seed = 2816593022] Type ? for help. Type -D to quit. Loading file "L13n2859__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2859 geometric_solution 11.13571879 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 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 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 0.714698228516 1.265024781870 0 5 7 6 0132 0132 0132 0132 0 0 0 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 0 0 0 1 -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 0 -0.012188098650 0.527934550163 8 0 9 6 0132 0132 0132 2103 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 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 0.314543808715 1.066616931133 10 8 11 0 0132 2310 0132 0132 1 0 0 1 0 0 0 0 0 0 1 -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 0 0 1 -1 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476536988956 0.489485988751 11 7 0 5 0132 3012 0132 1302 1 0 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 0 0 0 0 0 0 0 0 -1 1 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 0.543301490779 0.421514110032 8 1 4 10 1023 0132 2031 3201 0 1 1 0 0 0 0 0 -1 0 0 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 -8 0 -1 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.276993439826 0.931023511056 10 9 1 2 2103 1023 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529461689151 0.945013354761 4 9 8 1 1230 3120 3120 0132 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 -1 0 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 0 0 -0.010512726122 1.742216640736 2 5 7 3 0132 1023 3120 3201 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 0 0 0 0 0 0 0 0 8 0 -8 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 0.582350474446 1.056746353091 6 7 11 2 1023 3120 0321 0132 1 0 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000601958088 0.956786770966 3 5 6 11 0132 2310 2103 0321 1 0 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 0 0 0 0 0 0 8 -9 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349886674452 1.523705236188 4 10 9 3 0132 0321 0321 0132 1 0 1 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 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 0.872314693784 0.664167183550 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_6']), 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : negation(d['c_0110_5']), 'c_1010_10' : negation(d['c_0110_5']), 's_0_10' : negation(d['1']), 's_3_10' : negation(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_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0110_6']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_0110_6']), 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0101_5'], 'c_1100_10' : negation(d['c_0110_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0110_5'], 'c_1100_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'], '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_6'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_0' : negation(d['c_0011_11']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_11']), 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_11']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0110_6']})} 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_11, c_0011_6, c_0011_7, c_0101_0, c_0101_11, c_0101_2, c_0101_5, c_0101_8, c_0110_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 30552965/171184*c_0110_6^7 + 73238249/171184*c_0110_6^6 + 88293239/85592*c_0110_6^5 + 18700966/10699*c_0110_6^4 + 71176819/21398*c_0110_6^3 - 175007913/42796*c_0110_6^2 + 116722861/21398*c_0110_6 - 38235415/21398, c_0011_0 - 1, c_0011_10 - 277/3292*c_0110_6^7 - 675/3292*c_0110_6^6 - 1665/3292*c_0110_6^5 - 3181/3292*c_0110_6^4 - 1572/823*c_0110_6^3 + 2775/1646*c_0110_6^2 - 1557/823*c_0110_6 + 248/823, c_0011_11 + 149/3292*c_0110_6^7 + 93/823*c_0110_6^6 + 753/3292*c_0110_6^5 + 551/1646*c_0110_6^4 + 1195/1646*c_0110_6^3 - 1255/1646*c_0110_6^2 + 891/823*c_0110_6 + 134/823, c_0011_6 - 29/823*c_0110_6^7 - 73/1646*c_0110_6^6 - 415/3292*c_0110_6^5 - 521/3292*c_0110_6^4 - 73/823*c_0110_6^3 + 3435/1646*c_0110_6^2 - 1478/823*c_0110_6 + 912/823, c_0011_7 + 107/823*c_0110_6^7 + 234/823*c_0110_6^6 + 1815/3292*c_0110_6^5 + 3171/3292*c_0110_6^4 + 2114/823*c_0110_6^3 - 4671/1646*c_0110_6^2 + 1764/823*c_0110_6 - 300/823, c_0101_0 - 1, c_0101_11 - 28925/190936*c_0110_6^7 - 74817/190936*c_0110_6^6 - 45273/47734*c_0110_6^5 - 158399/95468*c_0110_6^4 - 76520/23867*c_0110_6^3 + 65579/23867*c_0110_6^2 - 101284/23867*c_0110_6 + 18748/23867, c_0101_2 + 419/3292*c_0110_6^7 + 256/823*c_0110_6^6 + 2471/3292*c_0110_6^5 + 1015/823*c_0110_6^4 + 3493/1646*c_0110_6^3 - 2745/823*c_0110_6^2 + 3196/823*c_0110_6 - 1109/823, c_0101_5 - 77/1646*c_0110_6^7 - 253/1646*c_0110_6^6 - 1303/3292*c_0110_6^5 - 2437/3292*c_0110_6^4 - 1076/823*c_0110_6^3 + 400/823*c_0110_6^2 - 4/823*c_0110_6 - 492/823, c_0101_8 + 7419/190936*c_0110_6^7 + 24847/190936*c_0110_6^6 + 32757/95468*c_0110_6^5 + 32075/47734*c_0110_6^4 + 32342/23867*c_0110_6^3 + 4388/23867*c_0110_6^2 + 19346/23867*c_0110_6 + 4380/23867, c_0110_5 - 293/3292*c_0110_6^7 - 305/1646*c_0110_6^6 - 239/823*c_0110_6^5 - 869/3292*c_0110_6^4 - 1433/1646*c_0110_6^3 + 4611/1646*c_0110_6^2 - 1846/823*c_0110_6 + 913/823, c_0110_6^8 + 2*c_0110_6^7 + 5*c_0110_6^6 + 8*c_0110_6^5 + 16*c_0110_6^4 - 28*c_0110_6^3 + 44*c_0110_6^2 - 24*c_0110_6 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB