Magma V2.19-8 Wed Aug 21 2013 00:16:08 on localhost [Seed = 1225729138] Type ? for help. Type -D to quit. Loading file "K13n4975__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n4975 geometric_solution 11.92366074 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1.398491273018 0.722247254818 2 3 4 0 1302 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.537862238609 1.242957779106 5 1 0 6 0132 2031 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.714695631059 0.565370001358 7 1 5 7 0132 0132 2031 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.025508706904 0.555596071869 8 9 10 1 0132 0132 0132 0132 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 1 0 -1 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.020010483815 1.200737139149 2 11 11 3 0132 0132 0321 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 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 0.528984112196 0.722367176386 9 7 2 10 0132 2103 0132 0132 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 -1 0 1 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.090713030780 0.792995263713 3 6 8 3 0132 2103 3012 2103 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 -5 5 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 0.025508706904 0.555596071869 4 7 12 12 0132 1230 0213 0132 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 1 -1 0 0 0 0 0 0 0 0 0 4 -5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482649335569 0.665819407392 6 4 10 12 0132 0132 0213 0213 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 -1 0 1 1 0 -1 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.210183956296 0.592858350879 11 9 6 4 3120 0213 0132 0132 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 -1 1 0 0 -1 -4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306351122227 0.441107683754 12 5 5 10 0132 0132 0321 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528984112196 0.722367176386 11 8 8 9 0132 0213 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727671641314 0.936498074336 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : d['c_1001_1'], 'c_1001_12' : d['c_0101_7'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : d['c_0011_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_0101_7'], 'c_1010_12' : d['c_1001_4'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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_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_12' : 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_1100_9' : d['c_1001_4'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0011_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0101_7'], 'c_1100_8' : d['c_1001_4'], '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'], 'c_1100_12' : d['c_1001_4'], '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_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_1'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_11'], 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : d['c_0101_12'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0011_11']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : negation(d['c_0011_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0011_10']})} 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_1, c_0011_10, c_0011_11, c_0011_4, c_0101_0, c_0101_11, c_0101_12, c_0101_3, c_0101_7, c_1001_1, c_1001_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 24489874649918/6242788125*c_1100_0^10 - 190183214058727/6242788125*c_1100_0^9 - 473238404179316/6242788125*c_1100_0^8 - 254132348798462/6242788125*c_1100_0^7 + 542993524284919/6242788125*c_1100_0^6 + 201050531584828/2080929375*c_1100_0^5 + 21601508335508/891826875*c_1100_0^4 - 111830236683862/6242788125*c_1100_0^3 - 296548573211753/6242788125*c_1100_0^2 - 248359980243943/6242788125*c_1100_0 - 54616044801226/6242788125, c_0011_0 - 1, c_0011_1 + 3914/19335*c_1100_0^10 + 5381/3867*c_1100_0^9 + 51086/19335*c_1100_0^8 - 8302/19335*c_1100_0^7 - 16613/3867*c_1100_0^6 - 3651/6445*c_1100_0^5 + 16687/19335*c_1100_0^4 + 23803/19335*c_1100_0^3 + 13736/19335*c_1100_0^2 - 15131/19335*c_1100_0 - 1478/19335, c_0011_10 - 986/19335*c_1100_0^10 - 1484/3867*c_1100_0^9 - 16604/19335*c_1100_0^8 - 1742/19335*c_1100_0^7 + 6578/3867*c_1100_0^6 + 7289/6445*c_1100_0^5 - 14548/19335*c_1100_0^4 - 15817/19335*c_1100_0^3 + 15766/19335*c_1100_0^2 - 2956/19335*c_1100_0 - 7828/19335, c_0011_11 - 2201/19335*c_1100_0^10 - 2693/3867*c_1100_0^9 - 18749/19335*c_1100_0^8 + 17878/19335*c_1100_0^7 + 6887/3867*c_1100_0^6 - 626/6445*c_1100_0^5 + 34982/19335*c_1100_0^4 - 19012/19335*c_1100_0^3 - 44774/19335*c_1100_0^2 - 2206/19335*c_1100_0 - 1708/19335, c_0011_4 - c_1100_0^2, c_0101_0 - 3476/19335*c_1100_0^10 - 5012/3867*c_1100_0^9 - 51554/19335*c_1100_0^8 + 6958/19335*c_1100_0^7 + 22727/3867*c_1100_0^6 + 16689/6445*c_1100_0^5 - 56503/19335*c_1100_0^4 - 43132/19335*c_1100_0^3 - 9719/19335*c_1100_0^2 - 16696/19335*c_1100_0 + 16172/19335, c_0101_11 + 2464/19335*c_1100_0^10 + 4336/3867*c_1100_0^9 + 64201/19335*c_1100_0^8 + 52828/19335*c_1100_0^7 - 14446/3867*c_1100_0^6 - 38426/6445*c_1100_0^5 + 2117/19335*c_1100_0^4 + 36938/19335*c_1100_0^3 + 19861/19335*c_1100_0^2 + 22604/19335*c_1100_0 + 12032/19335, c_0101_12 + 81/1289*c_1100_0^10 + 403/1289*c_1100_0^9 + 143/1289*c_1100_0^8 - 1308/1289*c_1100_0^7 - 103/1289*c_1100_0^6 + 1583/1289*c_1100_0^5 - 3302/1289*c_1100_0^4 + 213/1289*c_1100_0^3 + 2747/1289*c_1100_0^2 - 50/1289*c_1100_0 - 408/1289, c_0101_3 - 1478/19335*c_1100_0^10 - 2852/3867*c_1100_0^9 - 47597/19335*c_1100_0^8 - 51086/19335*c_1100_0^7 + 7868/3867*c_1100_0^6 + 31137/6445*c_1100_0^5 + 12431/19335*c_1100_0^4 - 21121/19335*c_1100_0^3 - 35627/19335*c_1100_0^2 - 19648/19335*c_1100_0 - 4204/19335, c_0101_7 - 3914/19335*c_1100_0^10 - 5381/3867*c_1100_0^9 - 51086/19335*c_1100_0^8 + 8302/19335*c_1100_0^7 + 16613/3867*c_1100_0^6 + 3651/6445*c_1100_0^5 - 16687/19335*c_1100_0^4 - 23803/19335*c_1100_0^3 - 13736/19335*c_1100_0^2 - 4204/19335*c_1100_0 + 1478/19335, c_1001_1 + 3914/19335*c_1100_0^10 + 5381/3867*c_1100_0^9 + 51086/19335*c_1100_0^8 - 8302/19335*c_1100_0^7 - 16613/3867*c_1100_0^6 - 3651/6445*c_1100_0^5 + 16687/19335*c_1100_0^4 + 23803/19335*c_1100_0^3 + 13736/19335*c_1100_0^2 + 4204/19335*c_1100_0 - 1478/19335, c_1001_4 + 166/1289*c_1100_0^10 + 1176/1289*c_1100_0^9 + 2330/1289*c_1100_0^8 - 580/1289*c_1100_0^7 - 5383/1289*c_1100_0^6 - 1880/1289*c_1100_0^5 + 2797/1289*c_1100_0^4 + 1821/1289*c_1100_0^3 + 410/1289*c_1100_0^2 - 373/1289*c_1100_0 - 311/1289, c_1100_0^11 + 7*c_1100_0^10 + 14*c_1100_0^9 - 21*c_1100_0^7 - 7*c_1100_0^6 - c_1100_0^5 + 3*c_1100_0^4 + 8*c_1100_0^3 + 4*c_1100_0^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 5.910 Total time: 6.120 seconds, Total memory usage: 64.12MB