Magma V2.19-8 Tue Aug 20 2013 23:56:00 on localhost [Seed = 3415057388] Type ? for help. Type -D to quit. Loading file "L14n13522__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13522 geometric_solution 10.99129680 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2103 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 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 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 0.825988743587 0.788887750870 0 4 5 0 0132 0132 0132 2103 0 1 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 1 0 -1 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 0.825988743587 0.788887750870 6 0 8 7 0132 0132 0132 0132 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 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 0.380065441448 0.393207251072 4 9 4 0 3120 0132 2103 0132 0 1 0 0 0 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 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 0.266633328713 1.208794024775 3 1 8 3 2103 0132 2310 3120 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 -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 0.825988743587 0.788887750870 6 7 6 1 3012 1023 1023 0132 0 1 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 7 0 -8 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 0.510333615986 0.518869141487 2 10 5 5 0132 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 -1 8 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.962019583229 1.019392573269 5 11 2 9 1023 0132 0132 1230 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 -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 0.834450921601 1.279366253824 10 4 10 2 2310 3201 1230 0132 0 0 0 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 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 -0.037980416771 1.019392573269 7 3 11 10 3012 0132 3201 3120 0 0 0 0 0 -1 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 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 0.401715096811 0.667967917440 9 6 8 8 3120 0132 3201 3012 1 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 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 0.490408104911 0.481626022938 9 7 11 11 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.474315611629 0.320322732289 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : d['c_0101_5'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_11']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : d['c_0011_8'], 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : d['c_0101_5'], '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_0011_11'], '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_0011_11' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_8'], 'c_1100_7' : d['c_0110_10'], 'c_1100_6' : d['c_0101_1'], 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : d['c_0110_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : negation(d['c_0011_8']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0101_11']), 'c_1010_2' : negation(d['c_0101_11']), 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_0'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0110_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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0101_9']), 'c_0110_10' : d['c_0110_10'], '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_5'], 'c_0101_4' : negation(d['c_0011_8']), 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_5']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_10'], 'c_0110_8' : negation(d['c_0011_11']), '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_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_11'])})} 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_11, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0101_6, c_0101_9, c_0110_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 2622530/113587097*c_1001_2^5 - 28336696/113587097*c_1001_2^4 - 159707001/113587097*c_1001_2^3 - 486088354/113587097*c_1001_2^2 - 829938505/113587097*c_1001_2 - 625638335/113587097, c_0011_0 - 1, c_0011_11 + 112/3977*c_1001_2^5 + 928/3977*c_1001_2^4 + 4081/3977*c_1001_2^3 + 8018/3977*c_1001_2^2 + 7249/3977*c_1001_2 + 694/3977, c_0011_3 - 49/3977*c_1001_2^5 - 406/3977*c_1001_2^4 - 2034/3977*c_1001_2^3 - 4005/3977*c_1001_2^2 - 7397/3977*c_1001_2 - 9749/3977, c_0011_8 + 360/3977*c_1001_2^5 + 3551/3977*c_1001_2^4 + 19083/3977*c_1001_2^3 + 53043/3977*c_1001_2^2 + 85512/3977*c_1001_2 + 55068/3977, c_0101_0 - 1, c_0101_1 + 360/3977*c_1001_2^5 + 3551/3977*c_1001_2^4 + 19083/3977*c_1001_2^3 + 53043/3977*c_1001_2^2 + 85512/3977*c_1001_2 + 51091/3977, c_0101_11 - 49/3977*c_1001_2^5 - 406/3977*c_1001_2^4 - 2034/3977*c_1001_2^3 - 4005/3977*c_1001_2^2 - 3420/3977*c_1001_2 - 1795/3977, c_0101_5 + 161/3977*c_1001_2^5 + 1334/3977*c_1001_2^4 + 6115/3977*c_1001_2^3 + 12023/3977*c_1001_2^2 + 10669/3977*c_1001_2 - 5465/3977, c_0101_6 + 4/97*c_1001_2^5 + 47/97*c_1001_2^4 + 267/97*c_1001_2^3 + 806/97*c_1001_2^2 + 1267/97*c_1001_2 + 780/97, c_0101_9 - 63/3977*c_1001_2^5 - 522/3977*c_1001_2^4 - 2047/3977*c_1001_2^3 - 4013/3977*c_1001_2^2 - 3829/3977*c_1001_2 - 2876/3977, c_0110_10 - 52/3977*c_1001_2^5 - 999/3977*c_1001_2^4 - 6866/3977*c_1001_2^3 - 25028/3977*c_1001_2^2 - 44698/3977*c_1001_2 - 31286/3977, c_1001_2^6 + 11*c_1001_2^5 + 64*c_1001_2^4 + 206*c_1001_2^3 + 396*c_1001_2^2 + 400*c_1001_2 + 169 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0101_6, c_0101_9, c_0110_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 25883533471154188/422693202855*c_1001_2^11 - 171138000415241917/422693202855*c_1001_2^10 - 386631801209356201/281795468570*c_1001_2^9 - 6753898577614467487/2254363748560*c_1001_2^8 - 2588268933080079379/563590937140*c_1001_2^7 - 3457996974673719353/676309124568*c_1001_2^6 - 4704186433690130847/1127181874280*c_1001_2^5 - 797198069974883551/322051964080*c_1001_2^4 - 3511891200172964243/3381545622840*c_1001_2^3 - 15990072848115/54724208*c_1001_2^2 - 335013442592352061/6763091245680*c_1001_2 - 26005781363529413/6763091245680, c_0011_0 - 1, c_0011_11 - 896*c_1001_2^11 - 4000*c_1001_2^10 - 8272*c_1001_2^9 - 6498*c_1001_2^8 + 8314*c_1001_2^7 + 31054*c_1001_2^6 + 44561*c_1001_2^5 + 38722*c_1001_2^4 + 21675*c_1001_2^3 + 7639*c_1001_2^2 + 1543*c_1001_2 + 138, c_0011_3 + c_1001_2, c_0011_8 - 32*c_1001_2^11 - 184*c_1001_2^10 - 564*c_1001_2^9 - 2223/2*c_1001_2^8 - 1539*c_1001_2^7 - 1534*c_1001_2^6 - 1114*c_1001_2^5 - 1159/2*c_1001_2^4 - 213*c_1001_2^3 - 101/2*c_1001_2^2 - 17/2*c_1001_2 - 1/2, c_0101_0 - 1, c_0101_1 + 32*c_1001_2^11 + 184*c_1001_2^10 + 564*c_1001_2^9 + 2223/2*c_1001_2^8 + 1539*c_1001_2^7 + 1534*c_1001_2^6 + 1114*c_1001_2^5 + 1159/2*c_1001_2^4 + 213*c_1001_2^3 + 101/2*c_1001_2^2 + 17/2*c_1001_2 + 1/2, c_0101_11 + 64*c_1001_2^11 + 432*c_1001_2^10 + 1496*c_1001_2^9 + 3351*c_1001_2^8 + 5301*c_1001_2^7 + 6146*c_1001_2^6 + 5296*c_1001_2^5 + 3387*c_1001_2^4 + 1585*c_1001_2^3 + 527*c_1001_2^2 + 117*c_1001_2 + 14, c_0101_5 - 7904*c_1001_2^11 - 50632*c_1001_2^10 - 166876*c_1001_2^9 - 707465/2*c_1001_2^8 - 524700*c_1001_2^7 - 562323*c_1001_2^6 - 438653*c_1001_2^5 - 492551/2*c_1001_2^4 - 96622*c_1001_2^3 - 50097/2*c_1001_2^2 - 7697/2*c_1001_2 - 531/2, c_0101_6 + 6080*c_1001_2^11 + 36752*c_1001_2^10 + 115032*c_1001_2^9 + 230257*c_1001_2^8 + 319678*c_1001_2^7 + 315866*c_1001_2^6 + 222073*c_1001_2^5 + 108428*c_1001_2^4 + 34911*c_1001_2^3 + 6685*c_1001_2^2 + 595*c_1001_2 + 4, c_0101_9 + 7488*c_1001_2^11 + 48240*c_1001_2^10 + 159992*c_1001_2^9 + 341603*c_1001_2^8 + 511117*c_1001_2^7 + 553558*c_1001_2^6 + 437433*c_1001_2^5 + 249490*c_1001_2^4 + 99735*c_1001_2^3 + 26403*c_1001_2^2 + 4145*c_1001_2 + 292, c_0110_10 + 4288*c_1001_2^11 + 28752*c_1001_2^10 + 98488*c_1001_2^9 + 217261*c_1001_2^8 + 336306*c_1001_2^7 + 377974*c_1001_2^6 + 311195*c_1001_2^5 + 185872*c_1001_2^4 + 78261*c_1001_2^3 + 21963*c_1001_2^2 + 3681*c_1001_2 + 280, c_1001_2^12 + 27/4*c_1001_2^11 + 187/8*c_1001_2^10 + 3351/64*c_1001_2^9 + 5301/64*c_1001_2^8 + 3073/32*c_1001_2^7 + 331/4*c_1001_2^6 + 3387/64*c_1001_2^5 + 1585/64*c_1001_2^4 + 527/64*c_1001_2^3 + 59/32*c_1001_2^2 + 1/4*c_1001_2 + 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB