Magma V2.19-8 Tue Aug 20 2013 23:50:44 on localhost [Seed = 357793320] Type ? for help. Type -D to quit. Loading file "L12n810__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n810 geometric_solution 10.92709835 oriented_manifold CS_known 0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 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 1 0 -1 -9 0 0 9 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.732039550118 1.105490174282 0 5 6 2 0132 0132 0132 1023 1 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 0 0 0 0 0 0 0 9 0 -8 -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 0.905491956619 1.708157308191 7 0 8 1 0132 0132 0132 1023 1 1 1 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 -1 0 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 0.397088754619 0.286196209968 9 9 6 0 0132 1230 3120 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 0 0 0 0 -1 0 0 1 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.732039550118 1.105490174282 10 8 0 11 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 -1 1 1 -1 0 0 -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 -9 9 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602502440659 0.746430265282 11 1 7 8 3120 0132 1023 3120 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 0 0 0 0 0 0 0 0 0 0 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 0.397012342193 0.495846653506 7 11 3 1 1023 3120 3120 0132 1 1 0 1 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 -8 8 0 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345225134871 0.811189703635 2 6 5 10 0132 1023 1023 1023 1 1 0 1 0 1 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 8 0 -8 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 0.587419148400 0.888395686912 5 4 9 2 3120 0132 1230 0132 1 1 0 1 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 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.144395146635 1.046819292669 3 10 3 8 0132 0213 3012 3012 1 1 1 1 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 -9 0 9 0 0 0 0 -8 8 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583592983042 0.628837425074 4 11 9 7 0132 1023 0213 1023 1 1 0 1 0 -1 1 0 0 0 -1 1 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 -9 9 0 0 0 -8 8 0 -1 0 1 -9 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.160188911124 1.167147853049 10 6 4 5 1023 3120 0132 3120 1 1 0 1 0 0 0 0 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 0 1 -1 9 0 -9 0 1 0 0 -1 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357676668120 0.383942967315 ==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' : negation(d['c_0011_3']), 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_1001_11']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_1001_11'], 'c_1010_11' : negation(d['c_0011_0']), 'c_1010_10' : d['c_0101_2'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : negation(d['c_0011_3']), 'c_0101_10' : negation(d['c_0011_3']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : negation(d['c_0101_8']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0101_3'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(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' : negation(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_3']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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' : d['c_0101_2'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_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' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_3']), '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 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_0101_7, c_0101_8, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 312658763/33102027*c_1001_2^8 - 702592861/9457722*c_1001_2^7 + 11141654549/66204054*c_1001_2^6 - 3271824410/33102027*c_1001_2^5 - 636642425/11034009*c_1001_2^4 - 35897203/1226001*c_1001_2^3 + 1064947969/22068018*c_1001_2^2 + 15586687775/66204054*c_1001_2 - 7317335267/33102027, c_0011_0 - 1, c_0011_10 - 353/1478*c_1001_2^8 + 999/739*c_1001_2^7 - 650/739*c_1001_2^6 - 1340/739*c_1001_2^5 - 200/739*c_1001_2^4 + 3805/1478*c_1001_2^3 + 2451/739*c_1001_2^2 - 1850/739*c_1001_2 - 2092/739, c_0011_3 - 75/739*c_1001_2^8 + 458/739*c_1001_2^7 - 406/739*c_1001_2^6 - 1367/1478*c_1001_2^5 - 193/1478*c_1001_2^4 + 2695/1478*c_1001_2^3 + 1859/1478*c_1001_2^2 - 2709/1478*c_1001_2 - 1002/739, c_0101_0 - 1, c_0101_1 - 81/1478*c_1001_2^8 + 336/739*c_1001_2^7 - 840/739*c_1001_2^6 + 599/739*c_1001_2^5 + 310/739*c_1001_2^4 + 199/1478*c_1001_2^3 - 880/739*c_1001_2^2 - 458/739*c_1001_2 + 1469/739, c_0101_2 + 105/1478*c_1001_2^8 - 789/1478*c_1001_2^7 + 1603/1478*c_1001_2^6 - 595/1478*c_1001_2^5 - 265/739*c_1001_2^4 - 1517/1478*c_1001_2^3 - 45/1478*c_1001_2^2 + 2857/1478*c_1001_2 - 223/1478, c_0101_3 - 270/739*c_1001_2^8 + 1501/739*c_1001_2^7 - 1593/1478*c_1001_2^6 - 5069/1478*c_1001_2^5 + 931/1478*c_1001_2^4 + 4529/1478*c_1001_2^3 + 7727/1478*c_1001_2^2 - 2068/739*c_1001_2 - 3755/739, c_0101_5 - 81/1478*c_1001_2^8 + 336/739*c_1001_2^7 - 840/739*c_1001_2^6 + 599/739*c_1001_2^5 + 310/739*c_1001_2^4 + 199/1478*c_1001_2^3 - 880/739*c_1001_2^2 - 1197/739*c_1001_2 + 1469/739, c_0101_7 + 347/1478*c_1001_2^8 - 892/739*c_1001_2^7 + 13/739*c_1001_2^6 + 4931/1478*c_1001_2^5 - 731/1478*c_1001_2^4 - 2292/739*c_1001_2^3 - 5005/1478*c_1001_2^2 + 2291/1478*c_1001_2 + 3323/739, c_0101_8 - 265/1478*c_1001_2^8 + 1569/1478*c_1001_2^7 - 668/739*c_1001_2^6 - 1947/1478*c_1001_2^5 + 669/1478*c_1001_2^4 + 841/739*c_1001_2^3 + 1482/739*c_1001_2^2 - 1017/1478*c_1001_2 - 1179/739, c_1001_11 - 239/739*c_1001_2^8 + 2515/1478*c_1001_2^7 - 745/1478*c_1001_2^6 - 4435/1478*c_1001_2^5 + 55/1478*c_1001_2^4 + 3957/1478*c_1001_2^3 + 3164/739*c_1001_2^2 - 1316/739*c_1001_2 - 2927/739, c_1001_2^9 - 7*c_1001_2^8 + 11*c_1001_2^7 + 5*c_1001_2^6 - 15*c_1001_2^5 - 9*c_1001_2^4 + 3*c_1001_2^3 + 29*c_1001_2^2 - c_1001_2 - 21 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB