Magma V2.19-8 Tue Aug 20 2013 23:38:39 on localhost [Seed = 3103710345] Type ? for help. Type -D to quit. Loading file "K10n40__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K10n40 geometric_solution 10.69336055 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 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 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 0.589451622171 0.462293279441 0 4 6 5 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 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 0.463760752638 0.218402751987 6 0 3 7 0321 0132 0321 0132 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 -1 0 1 0 0 0 0 0 0 0 0 5 1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547449819033 0.924184875861 5 8 2 0 0132 0132 0321 0132 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 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.690124972839 0.515723552885 1 9 0 10 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.770187135092 0.577009691124 3 9 1 11 0132 3201 0132 0132 0 0 0 0 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 1 0 -1 6 0 0 -6 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.105778403602 1.271428249874 2 10 8 1 0321 3012 0132 0132 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 -5 0 5 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 0.432293702475 0.991052860976 9 8 2 11 0132 0213 0132 0213 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 -1 1 0 0 0 0 -1 -5 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.949028137767 0.686959059865 11 3 7 6 0132 0132 0213 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 0 0 0 0 0 5 -5 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370100007746 0.526218117548 7 4 5 10 0132 0132 2310 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 0 0 0 0 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396300668976 0.445271404677 6 11 4 9 1230 3120 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 1 0 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 1.025689036145 0.637741099990 8 10 5 7 0132 3120 0132 0213 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 6 -6 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.224139684178 1.124372097441 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_0'], 'c_1001_11' : negation(d['c_1001_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0101_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_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_10' : negation(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' : d['c_0011_10'], 'c_1100_5' : d['c_1010_7'], 'c_1100_4' : d['c_1001_2'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_1010_7'], 'c_1100_1' : d['c_1010_7'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : negation(d['c_0011_10']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1010_7'], 'c_1100_10' : d['c_1001_2'], 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_1010_7'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_1001_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_0011_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(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' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_11']), '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_4'], 'c_0110_10' : d['c_0011_6'], 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0101_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_4']), 'c_0101_8' : d['c_0011_4'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_6']), 'c_0110_8' : d['c_0101_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' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_4']), 'c_1100_8' : d['c_1010_7']})} 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_11, c_0011_4, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_1001_0, c_1001_10, c_1001_2, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1699974345409/313027185*c_1010_7^9 + 8004190263437/1252108740*c_1010_7^8 + 2365896821483/1001686992*c_1010_7^7 - 11071487165609/500843496*c_1010_7^6 + 91170770423147/5008434960*c_1010_7^5 + 2894365845973/313027185*c_1010_7^4 - 5553331924665/166947832*c_1010_7^3 + 143281826796143/5008434960*c_1010_7^2 - 5165045393329/417369580*c_1010_7 + 626241621049/313027185, c_0011_0 - 1, c_0011_10 - 1862604/1098341*c_1010_7^9 - 7304537/1098341*c_1010_7^8 + 10597573/4393364*c_1010_7^7 + 208955/2196682*c_1010_7^6 - 91146695/4393364*c_1010_7^5 + 4244431/1098341*c_1010_7^4 + 17577781/2196682*c_1010_7^3 - 86665831/4393364*c_1010_7^2 + 11586568/1098341*c_1010_7 - 5621422/1098341, c_0011_11 + 3379088/1098341*c_1010_7^9 + 6110588/1098341*c_1010_7^8 - 3477491/1098341*c_1010_7^7 + 6191563/1098341*c_1010_7^6 + 20624325/1098341*c_1010_7^5 - 7606524/1098341*c_1010_7^4 + 423430/1098341*c_1010_7^3 + 17568373/1098341*c_1010_7^2 - 9852999/1098341*c_1010_7 + 6476676/1098341, c_0011_4 - 195364/1098341*c_1010_7^9 - 5511563/1098341*c_1010_7^8 + 7215887/4393364*c_1010_7^7 + 5793043/2196682*c_1010_7^6 - 72599033/4393364*c_1010_7^5 + 3708031/1098341*c_1010_7^4 + 20024291/2196682*c_1010_7^3 - 85894101/4393364*c_1010_7^2 + 12133825/1098341*c_1010_7 - 5524756/1098341, c_0011_6 + 2660220/1098341*c_1010_7^9 - 10504027/1098341*c_1010_7^8 - 1381537/4393364*c_1010_7^7 + 15757961/1098341*c_1010_7^6 - 125027865/4393364*c_1010_7^5 - 7357179/2196682*c_1010_7^4 + 57983485/2196682*c_1010_7^3 - 154692113/4393364*c_1010_7^2 + 39566463/2196682*c_1010_7 - 8090684/1098341, c_0101_0 + 5906524/1098341*c_1010_7^9 + 1170741/1098341*c_1010_7^8 - 14585841/4393364*c_1010_7^7 + 30830015/2196682*c_1010_7^6 + 12267251/4393364*c_1010_7^5 - 8236534/1098341*c_1010_7^4 + 29581913/2196682*c_1010_7^3 - 39574193/4393364*c_1010_7^2 + 4729172/1098341*c_1010_7 - 856270/1098341, c_0101_10 - 10576672/1098341*c_1010_7^9 + 11644008/1098341*c_1010_7^8 + 5149358/1098341*c_1010_7^7 - 39325120/1098341*c_1010_7^6 + 32838610/1098341*c_1010_7^5 + 15549453/1098341*c_1010_7^4 - 54874199/1098341*c_1010_7^3 + 55296033/1098341*c_1010_7^2 - 29810735/1098341*c_1010_7 + 9479347/1098341, c_0101_11 + 1862604/1098341*c_1010_7^9 + 7304537/1098341*c_1010_7^8 - 10597573/4393364*c_1010_7^7 - 208955/2196682*c_1010_7^6 + 91146695/4393364*c_1010_7^5 - 4244431/1098341*c_1010_7^4 - 17577781/2196682*c_1010_7^3 + 86665831/4393364*c_1010_7^2 - 11586568/1098341*c_1010_7 + 5621422/1098341, c_1001_0 - 4816180/1098341*c_1010_7^9 + 7153145/1098341*c_1010_7^8 + 12508187/4393364*c_1010_7^7 - 40687311/2196682*c_1010_7^6 + 76437895/4393364*c_1010_7^5 + 11221711/1098341*c_1010_7^4 - 60680465/2196682*c_1010_7^3 + 104894211/4393364*c_1010_7^2 - 11759371/1098341*c_1010_7 + 2341352/1098341, c_1001_10 + 195364/1098341*c_1010_7^9 + 5511563/1098341*c_1010_7^8 - 7215887/4393364*c_1010_7^7 - 5793043/2196682*c_1010_7^6 + 72599033/4393364*c_1010_7^5 - 3708031/1098341*c_1010_7^4 - 20024291/2196682*c_1010_7^3 + 85894101/4393364*c_1010_7^2 - 12133825/1098341*c_1010_7 + 5524756/1098341, c_1001_2 + 6039308/1098341*c_1010_7^9 - 4393439/1098341*c_1010_7^8 - 15291501/4393364*c_1010_7^7 + 21949524/1098341*c_1010_7^6 - 42530565/4393364*c_1010_7^5 - 22570227/2196682*c_1010_7^4 + 58830345/2196682*c_1010_7^3 - 84418621/4393364*c_1010_7^2 + 19860465/2196682*c_1010_7 - 1614008/1098341, c_1010_7^10 - 5/4*c_1010_7^9 + 1/16*c_1010_7^8 + 15/4*c_1010_7^7 - 63/16*c_1010_7^6 + 1/8*c_1010_7^5 + 43/8*c_1010_7^4 - 107/16*c_1010_7^3 + 39/8*c_1010_7^2 - 2*c_1010_7 + 1/2 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_1001_0, c_1001_10, c_1001_2, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 137712/49247*c_1001_10*c_1010_7^5 - 642445/49247*c_1001_10*c_1010_7^4 + 399715/4477*c_1001_10*c_1010_7^3 + 10785519/49247*c_1001_10*c_1010_7^2 + 1609152/49247*c_1001_10*c_1010_7 - 701883/49247*c_1001_10 + 3262/4477*c_1010_7^5 - 32602/4477*c_1010_7^4 + 3934/407*c_1010_7^3 + 204001/4477*c_1010_7^2 - 59467/4477*c_1010_7 - 44527/4477, c_0011_0 - 1, c_0011_10 - 7/37*c_1001_10*c_1010_7^5 + 12/37*c_1001_10*c_1010_7^4 + 105/37*c_1001_10*c_1010_7^3 + 63/37*c_1001_10*c_1010_7^2 - 77/37*c_1001_10*c_1010_7 - 6/37*c_1001_10 + 17/37*c_1010_7^5 - 45/37*c_1010_7^4 - 181/37*c_1010_7^3 - 79/37*c_1010_7^2 + 2/37*c_1010_7 + 4/37, c_0011_11 - 2/37*c_1010_7^5 + 14/37*c_1010_7^4 - 7/37*c_1010_7^3 - 56/37*c_1010_7^2 - 59/37*c_1010_7 - 7/37, c_0011_4 - c_1001_10 - 17/37*c_1010_7^5 + 45/37*c_1010_7^4 + 181/37*c_1010_7^3 + 79/37*c_1010_7^2 - 2/37*c_1010_7 - 4/37, c_0011_6 - 17/37*c_1001_10*c_1010_7^5 + 45/37*c_1001_10*c_1010_7^4 + 181/37*c_1001_10*c_1010_7^3 + 79/37*c_1001_10*c_1010_7^2 + 35/37*c_1001_10*c_1010_7 - 4/37*c_1001_10 - 26/37*c_1010_7^5 + 71/37*c_1010_7^4 + 279/37*c_1010_7^3 + 86/37*c_1010_7^2 - 101/37*c_1010_7 - 17/37, c_0101_0 + 6/37*c_1010_7^5 - 5/37*c_1010_7^4 - 90/37*c_1010_7^3 - 165/37*c_1010_7^2 - 45/37*c_1010_7 + 21/37, c_0101_10 + 10/37*c_1001_10*c_1010_7^5 + 4/37*c_1001_10*c_1010_7^4 - 187/37*c_1001_10*c_1010_7^3 - 386/37*c_1001_10*c_1010_7^2 - 112/37*c_1001_10*c_1010_7 + 109/37*c_1001_10 + 17/37*c_1010_7^5 - 45/37*c_1010_7^4 - 181/37*c_1010_7^3 - 79/37*c_1010_7^2 + 2/37*c_1010_7 + 4/37, c_0101_11 - 7/37*c_1001_10*c_1010_7^5 + 12/37*c_1001_10*c_1010_7^4 + 105/37*c_1001_10*c_1010_7^3 + 63/37*c_1001_10*c_1010_7^2 - 77/37*c_1001_10*c_1010_7 - 6/37*c_1001_10 - 6/37*c_1010_7^5 + 5/37*c_1010_7^4 + 90/37*c_1010_7^3 + 165/37*c_1010_7^2 + 45/37*c_1010_7 - 21/37, c_1001_0 - 6/37*c_1010_7^5 + 5/37*c_1010_7^4 + 90/37*c_1010_7^3 + 165/37*c_1010_7^2 + 45/37*c_1010_7 - 21/37, c_1001_10^2 + 17/37*c_1001_10*c_1010_7^5 - 45/37*c_1001_10*c_1010_7^4 - 181/37*c_1001_10*c_1010_7^3 - 79/37*c_1001_10*c_1010_7^2 + 2/37*c_1001_10*c_1010_7 + 4/37*c_1001_10 + 12/37*c_1010_7^5 - 47/37*c_1010_7^4 - 69/37*c_1010_7^3 + 40/37*c_1010_7^2 + 21/37*c_1010_7 - 32/37, c_1001_2 + 4/37*c_1010_7^5 + 9/37*c_1010_7^4 - 97/37*c_1010_7^3 - 221/37*c_1010_7^2 - 67/37*c_1010_7 + 51/37, c_1010_7^6 - 2*c_1010_7^5 - 13*c_1010_7^4 - 10*c_1010_7^3 + 3*c_1010_7^2 + 3*c_1010_7 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.320 Total time: 0.520 seconds, Total memory usage: 32.09MB