Magma V2.19-8 Tue Aug 20 2013 23:42:11 on localhost [Seed = 3153977068] Type ? for help. Type -D to quit. Loading file "L13a4982__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a4982 geometric_solution 9.20240430 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 0 0 2 0132 1230 3012 0132 1 1 1 1 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 -1 -1 2 0 -2 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 0.313977046923 1.400536047988 0 3 4 4 0132 0132 0213 0132 0 1 1 1 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 -2 0 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 0.078335891319 0.663787093462 5 4 0 3 0132 1023 0132 2310 1 1 1 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 -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 0.563386567881 0.344658664924 2 1 6 6 3201 0132 0132 0321 0 1 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 0 0 0 0 0 0 0 0 0 -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 0.625669655601 0.795447834274 2 1 1 7 1023 0213 0132 0132 0 1 1 1 0 0 0 0 1 0 0 -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 1 -1 1 0 0 -1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.714425084302 0.514532513243 2 8 6 7 0132 0132 3201 3120 1 1 1 1 0 0 1 -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 0 2 -2 0 0 0 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.547294143557 0.942370630408 5 3 9 3 2310 0321 0132 0132 0 1 1 1 0 -1 0 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 -2 1 1 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 0.389113656458 0.776653006276 5 9 4 9 3120 0213 0132 0321 0 1 1 1 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 1 -1 0 0 1 -1 2 0 0 -2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723875119056 1.619314381627 10 5 9 10 0132 0132 3201 3201 1 1 1 1 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 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 0.829758527812 0.246846882162 8 7 7 6 2310 0321 0213 0132 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 -1 -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 0 0 0 2 0 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769918936304 0.514693164021 8 8 10 10 0132 2310 1230 3012 1 1 1 1 0 0 -1 1 0 0 -1 1 -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 0 -1 1 0 0 -1 1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.345829658484 0.476214741640 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_3'], 'c_1001_10' : d['c_0101_6'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_1001_7'], 'c_1001_8' : negation(d['c_0011_7']), '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_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_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' : d['c_1001_6'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : d['c_1001_7'], 'c_1100_6' : d['c_1001_6'], 'c_1100_1' : d['c_1001_7'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_1001_6'], 'c_1100_2' : d['c_0011_0'], 'c_1100_10' : negation(d['c_0101_6']), 'c_1010_7' : d['c_1001_6'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_1001_6'], 'c_1010_8' : negation(d['c_0101_6']), '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_10'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : negation(d['c_0011_10']), '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' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0101_6']), 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : negation(d['c_0101_6']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0011_7, c_0101_0, c_0101_10, c_0101_3, c_0101_6, c_1001_1, c_1001_6, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 23845022633406692855/6399179541560232*c_1001_7^13 + 21234001133349752581/3199589770780116*c_1001_7^12 + 2304381729787653221/457084252968588*c_1001_7^11 - 26638807968182255/4335487494282*c_1001_7^10 - 125908009626127802833/6399179541560232*c_1001_7^9 + 104924431629364223075/3199589770780116*c_1001_7^8 - 39697145485604797570/799897442695029*c_1001_7^7 - 4656108302131431739/266632480898343*c_1001_7^6 + 19732819330925270855/799897442695029*c_1001_7^5 + 37586903354648763415/3199589770780116*c_1001_7^4 - 92502602340491422588/799897442695029*c_1001_7^3 + 2097245096443540193/26012924965692*c_1001_7^2 - 75008649026237110505/6399179541560232*c_1001_7 - 36825027454354887653/1599794885390058, c_0011_0 - 1, c_0011_10 + 2280080/24701099*c_1001_7^13 - 5716157/24701099*c_1001_7^12 + 528616/24701099*c_1001_7^11 + 5513384/24701099*c_1001_7^10 + 6947954/24701099*c_1001_7^9 - 28503284/24701099*c_1001_7^8 + 51435950/24701099*c_1001_7^7 - 12657228/24701099*c_1001_7^6 - 25308082/24701099*c_1001_7^5 + 10639122/24701099*c_1001_7^4 + 75780784/24701099*c_1001_7^3 - 101536359/24701099*c_1001_7^2 + 41358306/24701099*c_1001_7 + 8897014/24701099, c_0011_6 - c_1001_7^2, c_0011_7 + 1986151/24701099*c_1001_7^13 - 4275180/24701099*c_1001_7^12 - 695933/24701099*c_1001_7^11 + 2399615/24701099*c_1001_7^10 + 7533147/24701099*c_1001_7^9 - 16174739/24701099*c_1001_7^8 + 41722600/24701099*c_1001_7^7 - 11185768/24701099*c_1001_7^6 - 25093041/24701099*c_1001_7^5 + 8100442/24701099*c_1001_7^4 + 51594445/24701099*c_1001_7^3 - 79265895/24701099*c_1001_7^2 + 30009478/24701099*c_1001_7 + 7244315/24701099, c_0101_0 - 2280080/24701099*c_1001_7^13 + 5716157/24701099*c_1001_7^12 - 528616/24701099*c_1001_7^11 - 5513384/24701099*c_1001_7^10 - 6947954/24701099*c_1001_7^9 + 28503284/24701099*c_1001_7^8 - 51435950/24701099*c_1001_7^7 + 12657228/24701099*c_1001_7^6 + 25308082/24701099*c_1001_7^5 - 10639122/24701099*c_1001_7^4 - 75780784/24701099*c_1001_7^3 + 101536359/24701099*c_1001_7^2 - 66059405/24701099*c_1001_7 - 8897014/24701099, c_0101_10 + 864879/24701099*c_1001_7^13 - 3465045/24701099*c_1001_7^12 + 937448/24701099*c_1001_7^11 + 5933044/24701099*c_1001_7^10 + 5644655/24701099*c_1001_7^9 - 19437825/24701099*c_1001_7^8 + 9280542/24701099*c_1001_7^7 - 10598019/24701099*c_1001_7^6 - 2387795/24701099*c_1001_7^5 - 5675919/24701099*c_1001_7^4 + 15112514/24701099*c_1001_7^3 - 38222021/24701099*c_1001_7^2 + 24567684/24701099*c_1001_7 - 8354917/24701099, c_0101_3 - 1652699/24701099*c_1001_7^13 + 3011469/24701099*c_1001_7^12 + 3093676/24701099*c_1001_7^11 - 4529947/24701099*c_1001_7^10 - 11377264/24701099*c_1001_7^9 + 17112183/24701099*c_1001_7^8 - 12461940/24701099*c_1001_7^7 - 13018748/24701099*c_1001_7^6 + 14693052/24701099*c_1001_7^5 + 3520439/24701099*c_1001_7^4 - 55425048/24701099*c_1001_7^3 + 46790332/24701099*c_1001_7^2 + 10701571/24701099*c_1001_7 - 21265022/24701099, c_0101_6 - 2158350/24701099*c_1001_7^13 + 3063483/24701099*c_1001_7^12 + 4885990/24701099*c_1001_7^11 - 3891287/24701099*c_1001_7^10 - 13950466/24701099*c_1001_7^9 + 16591406/24701099*c_1001_7^8 - 13151212/24701099*c_1001_7^7 - 29645347/24701099*c_1001_7^6 + 1343426/24701099*c_1001_7^5 + 19500046/24701099*c_1001_7^4 - 47922206/24701099*c_1001_7^3 + 12616677/24701099*c_1001_7^2 + 8161746/24701099*c_1001_7 - 16470175/24701099, c_1001_1 - 1, c_1001_6 - 1652699/24701099*c_1001_7^13 + 3011469/24701099*c_1001_7^12 + 3093676/24701099*c_1001_7^11 - 4529947/24701099*c_1001_7^10 - 11377264/24701099*c_1001_7^9 + 17112183/24701099*c_1001_7^8 - 12461940/24701099*c_1001_7^7 - 13018748/24701099*c_1001_7^6 + 14693052/24701099*c_1001_7^5 + 3520439/24701099*c_1001_7^4 - 55425048/24701099*c_1001_7^3 + 22089233/24701099*c_1001_7^2 + 10701571/24701099*c_1001_7 - 21265022/24701099, c_1001_7^14 - 2*c_1001_7^13 - c_1001_7^12 + 2*c_1001_7^11 + 5*c_1001_7^10 - 10*c_1001_7^9 + 15*c_1001_7^8 + 2*c_1001_7^7 - 8*c_1001_7^6 - 2*c_1001_7^5 + 32*c_1001_7^4 - 28*c_1001_7^3 + 7*c_1001_7^2 + 6*c_1001_7 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.270 seconds, Total memory usage: 32.09MB