Magma V2.19-8 Wed Aug 21 2013 00:52:24 on localhost [Seed = 1377060848] Type ? for help. Type -D to quit. Loading file "L12a1637__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1637 geometric_solution 12.07467650 oriented_manifold CS_known 0.0000000000000006 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 2 2 2 0 0 1 -1 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 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 -0.054001130328 0.731420646053 0 5 6 5 0132 0132 0132 0213 1 2 2 2 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 1 -1 -1 0 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 0.723458837761 1.059470213979 7 0 5 4 0132 0132 0321 0321 1 2 2 2 0 0 0 0 0 0 -1 1 -1 1 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 -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 0.723458837761 1.059470213979 4 8 9 0 0321 0132 0132 0132 1 2 2 2 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 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 0.162338260104 1.132746733509 3 2 0 9 0321 0321 0132 0132 1 2 2 2 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 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 0.186162634844 1.284181415165 7 1 2 1 2310 0132 0321 0213 1 2 2 2 0 0 0 0 1 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 -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 0.723458837761 1.059470213979 9 10 11 1 0213 0132 0132 0132 1 2 2 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 1 0 -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 0.611446275030 0.567045044514 2 7 5 7 0132 2310 3201 3201 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523167474509 0.609949111684 10 3 12 11 0132 0132 0132 0321 1 0 2 2 0 -1 0 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 -1 0 2 -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 0.222892550061 1.134090089028 6 12 4 3 0213 0132 0132 0132 1 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.193763059252 0.897576827783 8 6 11 12 0132 0132 0321 0132 1 0 2 2 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 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 0.222892550061 1.134090089028 12 8 10 6 0321 0321 0321 0132 1 2 2 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 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 0.560367812970 0.407707534161 11 9 10 8 0321 0132 0132 0132 1 0 2 2 0 1 -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 0 0 0 0 1 -1 0 1 0 1 -2 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.166855546554 0.848970598590 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_1'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : d['c_1001_12'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_1001_12'], 'c_1010_10' : d['c_1001_12'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_0']), 'c_1100_6' : d['c_1001_1'], 'c_1100_1' : d['c_1001_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_2'], 's_0_10' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1001_1'], 'c_1100_10' : d['c_1001_11'], 's_3_10' : negation(d['1']), 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : d['c_1001_12'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_11'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : negation(d['c_0011_11']), 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0011_12']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_1']), 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_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_11, c_0011_12, c_0011_4, c_0101_1, c_0101_2, c_1001_0, c_1001_1, c_1001_11, c_1001_12, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 255160418366576/245804847664145*c_1100_0^8 + 728820081537619/70229956475470*c_1100_0^7 + 22712176541640533/245804847664145*c_1100_0^6 + 127316392772131289/491609695328290*c_1100_0^5 + 92527625176467113/245804847664145*c_1100_0^4 + 93375833715615782/245804847664145*c_1100_0^3 + 157323946968146533/491609695328290*c_1100_0^2 + 38245199751762103/245804847664145*c_1100_0 + 2945642984298323/491609695328290, c_0011_0 - 1, c_0011_10 + 893536/49928813*c_1100_0^8 - 5334304/49928813*c_1100_0^7 - 122678129/49928813*c_1100_0^6 - 458704947/49928813*c_1100_0^5 - 735253580/49928813*c_1100_0^4 - 719839387/49928813*c_1100_0^3 - 33804173/2936989*c_1100_0^2 - 306565373/49928813*c_1100_0 - 21992532/49928813, c_0011_11 + 1, c_0011_12 + 32400968/349501691*c_1100_0^8 - 54059784/49928813*c_1100_0^7 - 2252381023/349501691*c_1100_0^6 - 4264581857/349501691*c_1100_0^5 - 3892626392/349501691*c_1100_0^4 - 3203100717/349501691*c_1100_0^3 - 162051919/20558923*c_1100_0^2 - 191333399/349501691*c_1100_0 + 403271208/349501691, c_0011_4 - 35469933/349501691*c_1100_0^8 + 57054663/49928813*c_1100_0^7 + 2615288945/349501691*c_1100_0^6 + 5998590244/349501691*c_1100_0^5 + 7764362511/349501691*c_1100_0^4 + 7367711738/349501691*c_1100_0^3 + 321198065/20558923*c_1100_0^2 + 2090024309/349501691*c_1100_0 + 142965820/349501691, c_0101_1 - 10981904/349501691*c_1100_0^8 + 11514837/49928813*c_1100_0^7 + 1339431969/349501691*c_1100_0^6 + 4491036138/349501691*c_1100_0^5 + 6752122959/349501691*c_1100_0^4 + 6615000507/349501691*c_1100_0^3 + 335310621/20558923*c_1100_0^2 + 3073974214/349501691*c_1100_0 + 9958122/349501691, c_0101_2 - 2486482/349501691*c_1100_0^8 + 4385059/49928813*c_1100_0^7 + 139630285/349501691*c_1100_0^6 + 383273188/349501691*c_1100_0^5 + 933600875/349501691*c_1100_0^4 + 1362760530/349501691*c_1100_0^3 + 73830289/20558923*c_1100_0^2 + 1098761109/349501691*c_1100_0 + 405688818/349501691, c_1001_0 - 1, c_1001_1 - 1, c_1001_11 + 3717586/20558923*c_1100_0^8 - 5885908/2936989*c_1100_0^7 - 283952190/20558923*c_1100_0^6 - 644330586/20558923*c_1100_0^5 - 812878147/20558923*c_1100_0^4 - 821782106/20558923*c_1100_0^3 - 644820655/20558923*c_1100_0^2 - 243033460/20558923*c_1100_0 - 41691933/20558923, c_1001_12 + 757506/20558923*c_1100_0^8 - 1659232/2936989*c_1100_0^7 - 20493030/20558923*c_1100_0^6 + 95213834/20558923*c_1100_0^5 + 272222806/20558923*c_1100_0^4 + 282695720/20558923*c_1100_0^3 + 300869742/20558923*c_1100_0^2 + 267572850/20558923*c_1100_0 + 26974372/20558923, c_1001_2 + 792258/20558923*c_1100_0^8 - 935288/2936989*c_1100_0^7 - 87003662/20558923*c_1100_0^6 - 286724078/20558923*c_1100_0^5 - 452101402/20558923*c_1100_0^4 - 469280061/20558923*c_1100_0^3 - 409140910/20558923*c_1100_0^2 - 224896096/20558923*c_1100_0 - 24449820/20558923, c_1100_0^9 - 10*c_1100_0^8 - 89*c_1100_0^7 - 249*c_1100_0^6 - 361*c_1100_0^5 - 364*c_1100_0^4 - 307*c_1100_0^3 - 149*c_1100_0^2 - 6*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB