Magma V2.19-8 Tue Aug 20 2013 23:44:16 on localhost [Seed = 324368111] Type ? for help. Type -D to quit. Loading file "L14n25027__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25027 geometric_solution 10.15204376 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 1 -1 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 -2 1 1 -1 0 1 0 5 -5 0 0 1 4 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.553036031097 0.522846844285 0 5 3 6 0132 0132 1302 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 -1 1 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.952523781213 1.145755104365 5 0 3 7 0321 0132 0321 0132 0 1 1 1 0 -1 1 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 2 -2 0 0 0 0 0 0 -4 0 4 -4 5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.099997819529 1.193061231468 1 8 2 0 2031 0132 0321 0132 0 1 1 1 0 0 -1 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 -1 2 -1 0 0 1 -1 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799683245109 0.928028203268 8 9 0 10 0213 0132 0132 0132 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 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 0.567229153916 0.793835407308 2 1 6 7 0321 0132 2031 2310 1 1 1 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 4 0 0 -4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610672910831 0.879758520452 10 9 1 5 0213 2031 0132 1302 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 0.238952999344 0.693934723654 5 8 2 10 3201 0213 0132 0321 0 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 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.495234174838 1.204650543674 4 3 7 9 0213 0132 0213 0132 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 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 0.248851078218 0.902750136470 6 4 8 10 1302 0132 0132 0213 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 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 -0.001003679164 0.888755436944 6 7 4 9 0213 0321 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.393002003142 0.501556141238 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0110_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0110_10'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : d['c_1010_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_0011_6'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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_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_1010_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_1001_2'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_1001_10'], 'c_1100_10' : d['c_1001_2'], 'c_1010_7' : d['c_1010_10'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : d['c_1010_10'], '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' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : 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' : d['c_0011_4'], '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_10' : d['c_0110_10'], 'c_0101_7' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0011_10'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0011_4'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_10']), 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0011_10'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0011_10'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0110_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_3, c_0011_4, c_0011_6, c_0101_2, c_0110_10, c_1001_0, c_1001_10, c_1001_2, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1808323589/5301263*c_1010_10^7 + 18739766462/5301263*c_1010_10^6 + 93157561807/10602526*c_1010_10^5 - 4874531251/5301263*c_1010_10^4 + 216608521105/10602526*c_1010_10^3 - 116759380933/10602526*c_1010_10^2 + 56074061877/5301263*c_1010_10 - 19333907162/5301263, c_0011_0 - 1, c_0011_10 + 5419/28349*c_1010_10^7 + 57175/28349*c_1010_10^6 + 150503/28349*c_1010_10^5 + 15207/28349*c_1010_10^4 + 654513/56698*c_1010_10^3 - 135088/28349*c_1010_10^2 + 255757/56698*c_1010_10 - 115959/56698, c_0011_3 + 3601/113396*c_1010_10^7 + 23263/56698*c_1010_10^6 + 93769/56698*c_1010_10^5 + 107617/56698*c_1010_10^4 + 116189/113396*c_1010_10^3 + 76123/28349*c_1010_10^2 - 100411/113396*c_1010_10 + 6651/56698, c_0011_4 + 36135/113396*c_1010_10^7 + 93790/28349*c_1010_10^6 + 466483/56698*c_1010_10^5 - 67107/56698*c_1010_10^4 + 2007513/113396*c_1010_10^3 - 570955/56698*c_1010_10^2 + 900093/113396*c_1010_10 - 165247/56698, c_0011_6 - 8048/28349*c_1010_10^7 - 84254/28349*c_1010_10^6 - 430229/56698*c_1010_10^5 + 10661/28349*c_1010_10^4 - 451993/28349*c_1010_10^3 + 397803/56698*c_1010_10^2 - 358717/56698*c_1010_10 + 123161/56698, c_0101_2 - 11871/56698*c_1010_10^7 - 123847/56698*c_1010_10^6 - 155910/28349*c_1010_10^5 + 18925/28349*c_1010_10^4 - 315620/28349*c_1010_10^3 + 344459/56698*c_1010_10^2 - 140424/28349*c_1010_10 + 49683/28349, c_0110_10 - 19937/113396*c_1010_10^7 - 53034/28349*c_1010_10^6 - 142343/28349*c_1010_10^5 - 32575/56698*c_1010_10^4 - 1060763/113396*c_1010_10^3 + 123701/28349*c_1010_10^2 - 420645/113396*c_1010_10 + 50658/28349, c_1001_0 - 1, c_1001_10 + 10005/56698*c_1010_10^7 + 51219/28349*c_1010_10^6 + 122569/28349*c_1010_10^5 - 27936/28349*c_1010_10^4 + 607663/56698*c_1010_10^3 - 201450/28349*c_1010_10^2 + 380123/56698*c_1010_10 - 74220/28349, c_1001_2 - 933/28349*c_1010_10^7 - 21409/56698*c_1010_10^6 - 33341/28349*c_1010_10^5 - 9011/28349*c_1010_10^4 - 23577/56698*c_1010_10^3 - 58441/56698*c_1010_10^2 + 99275/56698*c_1010_10 - 24537/28349, c_1010_10^8 + 10*c_1010_10^7 + 22*c_1010_10^6 - 12*c_1010_10^5 + 61*c_1010_10^4 - 54*c_1010_10^3 + 43*c_1010_10^2 - 22*c_1010_10 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB