Magma V2.19-8 Wed Aug 21 2013 01:00:43 on localhost [Seed = 4004050431] Type ? for help. Type -D to quit. Loading file "L13n9799__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9799 geometric_solution 12.73802309 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 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 0 0 0 -4 -1 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 0.446058732246 0.630603789108 0 5 6 5 0132 0132 0132 2310 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 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 0.870500332886 0.744613898800 2 0 2 6 2310 0132 3201 0132 1 1 1 1 0 -1 1 0 -1 0 1 0 -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 4 -4 0 4 0 -4 0 4 0 0 -4 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701060674728 1.166876130665 7 8 8 0 0132 0132 1302 0132 1 1 1 2 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.591205803323 0.901764325003 9 9 0 9 0132 1230 0132 2031 1 1 0 1 0 0 1 -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 1 -5 4 0 0 0 0 2 1 0 -3 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439587922222 1.117274104895 1 1 10 11 3201 0132 0132 0132 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 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 0.429497618486 0.539103356941 9 8 2 1 3120 0213 0132 0132 1 1 1 1 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 -1 0 0 1 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446058732246 0.630603789108 3 11 12 11 0132 3120 0132 1023 1 1 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244343520507 1.069947358594 3 3 6 12 2031 0132 0213 2031 1 1 2 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 1 0 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 0.491524747279 0.775575680200 4 4 4 6 0132 1302 3012 3120 1 1 1 0 0 0 1 -1 0 0 0 0 -1 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 -4 4 0 0 -1 1 4 -4 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695056510898 0.775056471314 12 11 12 5 0213 3012 1023 0132 1 1 1 2 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 1 0 -1 -3 -1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244343520507 1.069947358594 10 7 5 7 1230 3120 0132 1023 1 1 2 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 -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 0.244343520507 1.069947358594 10 8 10 7 0213 1302 1023 0132 1 1 1 2 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 0 -1 0 0 0 0 0 0 0 0 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244343520507 1.069947358594 ==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_1001_1'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : negation(d['c_1001_1']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_1001_1']), 'c_1010_11' : d['c_0011_3'], 'c_1010_10' : negation(d['c_0101_11']), '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'], 'c_0101_12' : d['c_0011_10'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_12'], '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' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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_10']), 'c_1100_8' : d['c_1001_1'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : negation(d['c_1100_10']), 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0011_12'], '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' : negation(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_1100_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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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_0011_10'], 'c_0110_10' : negation(d['c_0101_0']), 'c_0110_12' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_3'], '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_0011_4']), 'c_0101_8' : d['c_0011_6'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_2'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['1']})} 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_12, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_1001_0, c_1001_1, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 1144690894661/3109227309568*c_1100_10^8 - 253724808311/777306827392*c_1100_10^7 + 4181913994075/3109227309568*c_1100_10^6 - 3608148854349/1554613654784*c_1100_10^5 + 3315440448625/3109227309568*c_1100_10^4 - 226981509845/777306827392*c_1100_10^3 - 6453497892549/777306827392*c_1100_10^2 - 46829053029445/1554613654784*c_1100_10 + 140877329875713/3109227309568, c_0011_0 - 1, c_0011_10 + 151671/10493936*c_1100_10^8 + 26507/2623484*c_1100_10^7 - 664113/10493936*c_1100_10^6 + 340027/5246968*c_1100_10^5 - 724875/10493936*c_1100_10^4 + 77893/2623484*c_1100_10^3 + 127783/2623484*c_1100_10^2 + 5326023/5246968*c_1100_10 - 24888651/10493936, c_0011_12 - 1, c_0011_3 - 1, c_0011_4 - 1, c_0011_6 + 757709/73457552*c_1100_10^8 + 760275/36728776*c_1100_10^7 - 2537105/73457552*c_1100_10^6 + 923331/36728776*c_1100_10^5 + 7838455/73457552*c_1100_10^4 + 42503/5246968*c_1100_10^3 + 10952429/36728776*c_1100_10^2 + 12684351/9182194*c_1100_10 - 77755943/73457552, c_0101_0 - 7675/5246968*c_1100_10^8 - 6321/5246968*c_1100_10^7 + 9651/655871*c_1100_10^6 + 7027/1311742*c_1100_10^5 - 46709/5246968*c_1100_10^4 + 496581/5246968*c_1100_10^3 + 516009/5246968*c_1100_10^2 - 2896785/5246968*c_1100_10 + 350653/2623484, c_0101_1 - 222635/20987872*c_1100_10^8 - 28421/2623484*c_1100_10^7 + 876193/20987872*c_1100_10^6 - 657527/10493936*c_1100_10^5 + 75599/20987872*c_1100_10^4 - 164725/2623484*c_1100_10^3 - 728573/2623484*c_1100_10^2 - 9538409/10493936*c_1100_10 + 32936507/20987872, c_0101_11 + 60993/10493936*c_1100_10^8 + 110871/5246968*c_1100_10^7 + 227227/10493936*c_1100_10^6 + 106823/5246968*c_1100_10^5 + 236859/10493936*c_1100_10^4 + 1067905/5246968*c_1100_10^3 + 679821/5246968*c_1100_10^2 + 646607/1311742*c_1100_10 + 5725925/10493936, c_0101_2 - 43027/146915104*c_1100_10^8 + 362381/36728776*c_1100_10^7 + 1059141/146915104*c_1100_10^6 - 2756027/73457552*c_1100_10^5 + 16206103/146915104*c_1100_10^4 - 286947/5246968*c_1100_10^3 + 752407/36728776*c_1100_10^2 + 34705945/73457552*c_1100_10 + 75043663/146915104, c_1001_0 + 650259/73457552*c_1100_10^8 + 179007/9182194*c_1100_10^7 - 1456193/73457552*c_1100_10^6 + 1120087/36728776*c_1100_10^5 + 7184529/73457552*c_1100_10^4 + 134771/1311742*c_1100_10^3 + 3641123/9182194*c_1100_10^2 + 30459909/36728776*c_1100_10 - 67937659/73457552, c_1001_1 - 7675/5246968*c_1100_10^8 - 6321/5246968*c_1100_10^7 + 9651/655871*c_1100_10^6 + 7027/1311742*c_1100_10^5 - 46709/5246968*c_1100_10^4 + 496581/5246968*c_1100_10^3 + 516009/5246968*c_1100_10^2 - 2896785/5246968*c_1100_10 + 350653/2623484, c_1100_10^9 + c_1100_10^8 - 3*c_1100_10^7 + 7*c_1100_10^6 - 3*c_1100_10^5 + 3*c_1100_10^4 + 24*c_1100_10^3 + 86*c_1100_10^2 - 99*c_1100_10 + 47 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB