Magma V2.19-8 Wed Aug 21 2013 00:56:54 on localhost [Seed = 274074315] Type ? for help. Type -D to quit. Loading file "L13n3100__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3100 geometric_solution 12.66854052 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 0 1 0 -1 1 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 7 -6 -1 0 0 1 -1 0 0 0 0 6 -7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447064716235 0.675430023111 0 5 7 6 0132 0132 0132 0132 0 0 1 0 0 1 -1 0 -1 0 0 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 0 0 -6 6 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214419677256 0.875750713460 8 0 3 6 0132 0132 0321 2031 1 0 1 0 0 1 0 -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 0 0 0 0 -7 0 7 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431513855873 1.299539496296 9 10 2 0 0132 0132 0321 0132 1 0 1 0 0 1 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 0 0 0 0 -6 0 6 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 0.893519242832 0.532850235165 5 11 0 11 3201 0132 0132 0213 1 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 0 1 -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 0.280824756434 0.870502626705 8 1 10 4 1023 0132 1230 2310 0 0 0 1 0 -1 1 0 -1 0 0 1 0 1 0 -1 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 0 0 0 -1 0 1 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.204315430928 1.090135748743 10 2 1 8 2103 1302 0132 0132 0 0 1 1 0 -1 0 1 0 0 -1 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 0 0 0 0 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.392551059384 0.766364146860 12 9 12 1 0132 2103 3012 0132 0 0 0 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 0 1 -1 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363020415180 1.138799802885 2 5 6 12 0132 1023 0132 3012 0 0 0 1 0 1 -1 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 0 0 0 0 0 0 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214419677256 0.875750713460 3 7 10 11 0132 2103 2103 2310 0 0 0 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 0 0 0 0 0 0 0 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 0.704154646106 1.089707933640 9 3 6 5 2103 0132 2103 3012 1 0 0 1 0 -1 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 0 0 0 0 6 0 -6 -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 0.612347344815 0.591360072621 9 4 12 4 3201 0132 2031 0213 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 -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 0.280824756434 0.870502626705 7 7 8 11 0132 1230 1230 1302 0 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.374119933277 0.668856139858 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_8'], 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0110_11'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0101_7'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0101_5']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(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_0101_0'], 's_2_0' : 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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : d['c_1001_2'], 'c_1100_7' : negation(d['c_1001_12']), 'c_1100_6' : negation(d['c_1001_12']), 'c_1100_1' : negation(d['c_1001_12']), 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : negation(d['c_0101_5']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : negation(d['c_0101_8']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_11'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0110_11'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0110_11']), 'c_1010_8' : negation(d['c_0101_1']), '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_0101_11'], '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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_10'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_11']), 'c_0101_2' : d['c_0101_11'], '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_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_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0110_11']), 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_1001_12'])})} 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_6, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0101_7, c_0101_8, c_0110_11, c_1001_12, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 3168878393466732446317/22060263439228051625*c_1001_2^13 - 43238298571622453014437/88241053756912206500*c_1001_2^12 - 82316433635047243342219/44120526878456103250*c_1001_2^11 - 28862692902461513790517/12605864822416029500*c_1001_2^10 - 496706883968002820081223/88241053756912206500*c_1001_2^9 - 169341164509449978590997/8824105375691220650*c_1001_2^8 - 6562730269132883693779/257262547396245500*c_1001_2^7 - 103920685152723635637283/4412052687845610325*c_1001_2^6 - 1666958425090360826805051/88241053756912206500*c_1001_2^5 - 389412915722430496725487/44120526878456103250*c_1001_2^4 - 333798126132883003936677/88241053756912206500*c_1001_2^3 - 143841750920207328455773/88241053756912206500*c_1001_2^2 - 1056607739965825380603/3529642150276488260*c_1001_2 + 910747629345793170853/88241053756912206500, c_0011_0 - 1, c_0011_10 + 5281557526/9092637793*c_1001_2^13 + 9670506114/9092637793*c_1001_2^12 + 46299468600/9092637793*c_1001_2^11 - 6015220251/9092637793*c_1001_2^10 + 145721384254/9092637793*c_1001_2^9 + 443598632180/9092637793*c_1001_2^8 + 34516843259/9092637793*c_1001_2^7 + 107806766769/9092637793*c_1001_2^6 + 87467203890/9092637793*c_1001_2^5 - 117058636816/9092637793*c_1001_2^4 + 111555916276/9092637793*c_1001_2^3 - 29568309891/9092637793*c_1001_2^2 + 3900061394/9092637793*c_1001_2 + 11130585366/9092637793, c_0011_11 - 56190705628/9092637793*c_1001_2^13 - 149125517279/9092637793*c_1001_2^12 - 620001540083/9092637793*c_1001_2^11 - 452917537410/9092637793*c_1001_2^10 - 1950033570579/9092637793*c_1001_2^9 - 6275402424031/9092637793*c_1001_2^8 - 5551223404953/9092637793*c_1001_2^7 - 5997117113340/9092637793*c_1001_2^6 - 5399645580980/9092637793*c_1001_2^5 - 2178301170897/9092637793*c_1001_2^4 - 2202682000470/9092637793*c_1001_2^3 - 687628331553/9092637793*c_1001_2^2 - 200616769016/9092637793*c_1001_2 - 150483462843/9092637793, c_0011_6 - 1665848942/9092637793*c_1001_2^13 - 5603474422/9092637793*c_1001_2^12 - 21732044045/9092637793*c_1001_2^11 - 26630972043/9092637793*c_1001_2^10 - 68481721737/9092637793*c_1001_2^9 - 223985538172/9092637793*c_1001_2^8 - 299781800067/9092637793*c_1001_2^7 - 304159823404/9092637793*c_1001_2^6 - 261082580182/9092637793*c_1001_2^5 - 146376498718/9092637793*c_1001_2^4 - 91238073864/9092637793*c_1001_2^3 - 44166071762/9092637793*c_1001_2^2 - 16572975668/9092637793*c_1001_2 - 3780839630/9092637793, c_0101_0 + 3780839630/9092637793*c_1001_2^13 + 9676669948/9092637793*c_1001_2^12 + 39766601138/9092637793*c_1001_2^11 + 23638031515/9092637793*c_1001_2^10 + 117040933897/9092637793*c_1001_2^9 + 400342392383/9092637793*c_1001_2^8 + 301551170398/9092637793*c_1001_2^7 + 252220785913/9092637793*c_1001_2^6 + 213815205906/9092637793*c_1001_2^5 + 26261231698/9092637793*c_1001_2^4 + 65350520562/9092637793*c_1001_2^3 + 10844596146/9092637793*c_1001_2^2 - 10138515092/9092637793*c_1001_2 + 7643020645/9092637793, c_0101_1 - 1, c_0101_11 - 72773257591/9092637793*c_1001_2^13 - 190259462303/9092637793*c_1001_2^12 - 802402456538/9092637793*c_1001_2^11 - 571687906766/9092637793*c_1001_2^10 - 2574524282614/9092637793*c_1001_2^9 - 8061202488341/9092637793*c_1001_2^8 - 7090133078072/9092637793*c_1001_2^7 - 8196359744009/9092637793*c_1001_2^6 - 7150785065284/9092637793*c_1001_2^5 - 3026242269666/9092637793*c_1001_2^4 - 3113690241739/9092637793*c_1001_2^3 - 827123851707/9092637793*c_1001_2^2 - 371309127324/9092637793*c_1001_2 - 171318512673/9092637793, c_0101_5 + 3258795577/9092637793*c_1001_2^13 + 7327531356/9092637793*c_1001_2^12 + 31708261474/9092637793*c_1001_2^11 + 8923351936/9092637793*c_1001_2^10 + 92695480129/9092637793*c_1001_2^9 + 304708873529/9092637793*c_1001_2^8 + 148533993489/9092637793*c_1001_2^7 + 110704348489/9092637793*c_1001_2^6 + 32479666164/9092637793*c_1001_2^5 - 100996243956/9092637793*c_1001_2^4 - 21841553898/9092637793*c_1001_2^3 - 40262640972/9092637793*c_1001_2^2 - 14557589931/9092637793*c_1001_2 - 7384406935/9092637793, c_0101_7 - 10633482848/9092637793*c_1001_2^13 - 29172684762/9092637793*c_1001_2^12 - 120385654353/9092637793*c_1001_2^11 - 96616699201/9092637793*c_1001_2^10 - 379890740531/9092637793*c_1001_2^9 - 1213652672712/9092637793*c_1001_2^8 - 1167081447529/9092637793*c_1001_2^7 - 1252143320487/9092637793*c_1001_2^6 - 1064761921942/9092637793*c_1001_2^5 - 459731597373/9092637793*c_1001_2^4 - 387602338675/9092637793*c_1001_2^3 - 101628384872/9092637793*c_1001_2^2 - 39310924228/9092637793*c_1001_2 - 10854709559/9092637793, c_0101_8 + 6523661712/9092637793*c_1001_2^13 + 15928136357/9092637793*c_1001_2^12 + 66733172846/9092637793*c_1001_2^11 + 32703026075/9092637793*c_1001_2^10 + 197135897082/9092637793*c_1001_2^9 + 664523185963/9092637793*c_1001_2^8 + 436586476342/9092637793*c_1001_2^7 + 375720309852/9092637793*c_1001_2^6 + 288614258006/9092637793*c_1001_2^5 - 33738275220/9092637793*c_1001_2^4 + 68543931972/9092637793*c_1001_2^3 - 24362181641/9092637793*c_1001_2^2 - 13806930336/9092637793*c_1001_2 - 2019771983/9092637793, c_0110_11 + 67045415187/9092637793*c_1001_2^13 + 171056163108/9092637793*c_1001_2^12 + 721085370029/9092637793*c_1001_2^11 + 462788397765/9092637793*c_1001_2^10 + 2265895834620/9092637793*c_1001_2^9 + 7241495668816/9092637793*c_1001_2^8 + 5846375360942/9092637793*c_1001_2^7 + 6414823261425/9092637793*c_1001_2^6 + 5634597470076/9092637793*c_1001_2^5 + 1938497175439/9092637793*c_1001_2^4 + 2350814138401/9092637793*c_1001_2^3 + 593103150971/9092637793*c_1001_2^2 + 196680770175/9092637793*c_1001_2 + 154591376851/9092637793, c_1001_12 + 77525848884/9092637793*c_1001_2^13 + 203067619034/9092637793*c_1001_2^12 + 851303860980/9092637793*c_1001_2^11 + 601646926558/9092637793*c_1001_2^10 + 2697960744834/9092637793*c_1001_2^9 + 8571800325534/9092637793*c_1001_2^8 + 7453949807550/9092637793*c_1001_2^7 + 8288398896832/9092637793*c_1001_2^6 + 7288694798419/9092637793*c_1001_2^5 + 2936620872745/9092637793*c_1001_2^4 + 3055849244993/9092637793*c_1001_2^3 + 848004024632/9092637793*c_1001_2^2 + 309592265403/9092637793*c_1001_2 + 175530365160/9092637793, c_1001_2^14 + 3*c_1001_2^13 + 12*c_1001_2^12 + 12*c_1001_2^11 + 38*c_1001_2^10 + 124*c_1001_2^9 + 139*c_1001_2^8 + 146*c_1001_2^7 + 137*c_1001_2^6 + 76*c_1001_2^5 + 56*c_1001_2^4 + 27*c_1001_2^3 + 9*c_1001_2^2 + 4*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.230 Total time: 0.440 seconds, Total memory usage: 32.09MB