Magma V2.19-8 Wed Aug 21 2013 00:54:53 on localhost [Seed = 1443908630] Type ? for help. Type -D to quit. Loading file "L12n715__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n715 geometric_solution 11.85143333 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 0 -1 1 1 0 -1 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 -1 1 0 7 0 -6 -1 -7 7 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.764240162164 0.573178972805 0 5 6 5 0132 0132 0132 0213 1 1 1 1 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 -7 0 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 0.771753340816 0.657766156719 7 0 9 8 0132 0132 0132 0132 0 1 1 1 0 0 0 0 0 0 0 0 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 0 -1 0 0 0 0 0 6 0 -6 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664878274568 0.801010408138 10 11 8 0 0132 0132 0132 0132 0 1 1 1 0 -1 0 1 -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 1 0 -1 -6 0 0 6 6 0 0 -6 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320175479994 0.701733358301 6 11 0 9 0132 0321 0132 0132 0 1 1 1 0 1 -1 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 1 -1 -1 1 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664878274568 0.801010408138 10 1 7 1 2310 0132 1230 0213 1 1 1 1 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 7 0 -7 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.771753340816 0.657766156719 4 10 8 1 0132 2310 2103 0132 1 1 1 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 0 0 0 0 -1 0 1 0 0 0 0 -6 6 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519257920709 0.150983954626 2 11 9 5 0132 3012 2103 3012 1 1 1 1 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 6 -7 1 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 1.242515924188 0.714993679212 6 12 2 3 2103 0132 0132 0132 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.212787168281 0.945044101424 7 12 4 2 2103 0213 0132 0132 0 1 1 1 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 1 -1 0 -1 0 1 0 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.230410950908 1.272100037111 3 12 5 6 0132 2031 3201 3201 1 1 1 1 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 6 0 0 -6 -1 0 0 1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.938653240603 0.961557457817 7 3 12 4 1230 0132 0132 0321 0 1 1 1 0 1 0 -1 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 -1 0 1 0 0 -6 6 0 1 0 -1 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643750348690 1.060790253690 10 8 9 11 1302 0132 0213 0132 0 1 1 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 -1 0 -6 0 0 6 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686293081326 0.817546727941 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_12'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_1001_12'], 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_3_10' : 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_0101_0'], 's_2_0' : negation(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' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1001_2'], 'c_1100_10' : negation(d['c_0011_0']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_1001_12'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_12'], 'c_1100_8' : d['c_1100_0'], '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'], 'c_1100_12' : d['c_1001_2'], 's_1_7' : negation(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_10']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_0'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], '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_6'], 'c_0101_8' : d['c_0101_6'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_3'], '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_6'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_6'], '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 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_6, c_1001_0, c_1001_12, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 4755498597779200/2005522387313*c_1100_0^10 + 5624521297526712/2005522387313*c_1100_0^9 - 49278018726153460/2005522387313*c_1100_0^8 + 3280071321899690/2005522387313*c_1100_0^7 - 131440931793486456/2005522387313*c_1100_0^6 - 55234166650320236/2005522387313*c_1100_0^5 - 147674338975518172/2005522387313*c_1100_0^4 - 69853046512255845/2005522387313*c_1100_0^3 - 63166573943890502/2005522387313*c_1100_0^2 - 23866633779002983/2005522387313*c_1100_0 - 3372407899201047/2005522387313, c_0011_0 - 1, c_0011_10 - 633854852/3224617477*c_1100_0^10 + 1460610958/3224617477*c_1100_0^9 - 7712381087/3224617477*c_1100_0^8 + 7409432874/3224617477*c_1100_0^7 - 20117809110/3224617477*c_1100_0^6 + 5521312205/3224617477*c_1100_0^5 - 19174286392/3224617477*c_1100_0^4 - 2219195171/3224617477*c_1100_0^3 - 12653719902/3224617477*c_1100_0^2 - 3743602568/3224617477*c_1100_0 - 446099145/3224617477, c_0011_12 + 2051130668/3224617477*c_1100_0^10 - 3778671258/3224617477*c_1100_0^9 + 23165011261/3224617477*c_1100_0^8 - 15055046822/3224617477*c_1100_0^7 + 59682382890/3224617477*c_1100_0^6 - 6345211704/3224617477*c_1100_0^5 + 53821088888/3224617477*c_1100_0^4 + 7457324252/3224617477*c_1100_0^3 + 17291925546/3224617477*c_1100_0^2 + 9238863156/3224617477*c_1100_0 - 1579417163/3224617477, c_0101_0 - 541204796/3224617477*c_1100_0^10 + 324246494/3224617477*c_1100_0^9 - 3430671071/3224617477*c_1100_0^8 - 5983660855/3224617477*c_1100_0^7 + 4255154161/3224617477*c_1100_0^6 - 24436518997/3224617477*c_1100_0^5 + 21233206104/3224617477*c_1100_0^4 - 16139226748/3224617477*c_1100_0^3 + 14508694275/3224617477*c_1100_0^2 - 3939576721/3224617477*c_1100_0 - 2334354038/3224617477, c_0101_1 + 2074613652/3224617477*c_1100_0^10 - 2789841846/3224617477*c_1100_0^9 + 22036552043/3224617477*c_1100_0^8 - 5799129242/3224617477*c_1100_0^7 + 60418525900/3224617477*c_1100_0^6 + 7060239123/3224617477*c_1100_0^5 + 68759497681/3224617477*c_1100_0^4 + 6468055849/3224617477*c_1100_0^3 + 24447551810/3224617477*c_1100_0^2 - 1781275341/3224617477*c_1100_0 - 1440123685/3224617477, c_0101_11 + 3544104756/3224617477*c_1100_0^10 - 3144193550/3224617477*c_1100_0^9 + 33121184583/3224617477*c_1100_0^8 + 10361358644/3224617477*c_1100_0^7 + 75680665902/3224617477*c_1100_0^6 + 60811797629/3224617477*c_1100_0^5 + 76295364155/3224617477*c_1100_0^4 + 35261039531/3224617477*c_1100_0^3 + 20056910792/3224617477*c_1100_0^2 - 665893958/3224617477*c_1100_0 - 4184194154/3224617477, c_0101_2 + 2019537964/3224617477*c_1100_0^10 - 3601890642/3224617477*c_1100_0^9 + 22810395265/3224617477*c_1100_0^8 - 14359257612/3224617477*c_1100_0^7 + 60628736432/3224617477*c_1100_0^6 - 8565624857/3224617477*c_1100_0^5 + 56759320653/3224617477*c_1100_0^4 - 1641828235/3224617477*c_1100_0^3 + 18321151635/3224617477*c_1100_0^2 - 5918457717/3224617477*c_1100_0 - 1224727244/3224617477, c_0101_3 - 1607993584/3224617477*c_1100_0^10 + 2634300848/3224617477*c_1100_0^9 - 17778952192/3224617477*c_1100_0^8 + 9112912350/3224617477*c_1100_0^7 - 47186907964/3224617477*c_1100_0^6 + 2253998286/3224617477*c_1100_0^5 - 43831507590/3224617477*c_1100_0^4 - 1391496195/3224617477*c_1100_0^3 - 9219422655/3224617477*c_1100_0^2 + 2345995734/3224617477*c_1100_0 + 2072824785/3224617477, c_0101_6 - 3642886280/3224617477*c_1100_0^10 + 6583278444/3224617477*c_1100_0^9 - 39566375954/3224617477*c_1100_0^8 + 24226200314/3224617477*c_1100_0^7 - 93320798989/3224617477*c_1100_0^6 + 13364278528/3224617477*c_1100_0^5 - 72764295513/3224617477*c_1100_0^4 + 10455928433/3224617477*c_1100_0^3 - 16454154031/3224617477*c_1100_0^2 + 3922105868/3224617477*c_1100_0 + 1047876083/3224617477, c_1001_0 - 1, c_1001_12 - 14735592/189683381*c_1100_0^10 + 49106908/189683381*c_1100_0^9 - 222457670/189683381*c_1100_0^8 + 377118652/189683381*c_1100_0^7 - 750841334/189683381*c_1100_0^6 + 700359470/189683381*c_1100_0^5 - 860058386/189683381*c_1100_0^4 + 348314053/189683381*c_1100_0^3 - 633549810/189683381*c_1100_0^2 + 23868399/189683381*c_1100_0 - 129475269/189683381, c_1001_2 - 91974704/189683381*c_1100_0^10 + 81846516/189683381*c_1100_0^9 - 883325366/189683381*c_1100_0^8 - 256108331/189683381*c_1100_0^7 - 2160833946/189683381*c_1100_0^6 - 1759201617/189683381*c_1100_0^5 - 2367799113/189683381*c_1100_0^4 - 1578638923/189683381*c_1100_0^3 - 809308966/189683381*c_1100_0^2 - 382270913/189683381*c_1100_0 + 100865786/189683381, c_1100_0^11 - 3/2*c_1100_0^10 + 43/4*c_1100_0^9 - 4*c_1100_0^8 + 28*c_1100_0^7 + 11/4*c_1100_0^6 + 111/4*c_1100_0^5 + 19/4*c_1100_0^4 + 9*c_1100_0^3 + 3/4*c_1100_0^2 - 3/4*c_1100_0 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB