Magma V2.19-8 Wed Aug 21 2013 00:57:11 on localhost [Seed = 2631566921] Type ? for help. Type -D to quit. Loading file "L13n387__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n387 geometric_solution 12.38798144 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 1 1 1 0 0 0 0 0 0 0 0 0 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 0 0 3 -3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649054445980 0.558157592789 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 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 0 0 0 0 1 -1 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560846729200 0.611920312860 8 0 10 9 0132 0132 0132 0132 1 1 0 1 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 -1 0 1 0 -1 1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.861153715222 0.816672301948 11 9 12 0 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 -1 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 1 0 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.446962909813 0.676466344366 11 12 0 7 3012 3012 0132 0132 1 1 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 0 0 0 -1 1 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.105749484280 0.926372794941 10 1 8 12 1023 0132 1023 0321 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 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 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712896867456 0.733093687471 10 9 1 12 2103 1023 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 0 0.521916796433 0.864232474977 8 9 4 1 3201 0321 0132 0132 1 1 1 1 0 0 0 0 1 0 -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 0 0 0 0 0 3 0 -2 -1 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670482905256 0.867897798069 2 11 5 7 0132 2103 1023 2310 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -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 1 0 -1 0 3 0 0 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.629855222252 0.834585447008 6 3 2 7 1023 0132 0132 0321 1 1 1 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 1 2 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592043686753 0.646575196214 11 5 6 2 2103 1023 2103 0132 1 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 0 0 0 0 0 0 0 0 0 1 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797330676172 0.939002204584 3 8 10 4 0132 2103 2103 1230 1 1 1 0 0 0 -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 -2 2 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 0.563346833054 0.592885895297 4 5 6 3 1230 0321 0132 0132 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 1 0 -1 0 0 0 0 0 2 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524444645680 0.673284752557 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_12'], 'c_1001_11' : d['c_0011_0'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0011_12']), 'c_1001_7' : negation(d['c_0101_12']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_0011_12']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_1001_1'], 'c_1010_11' : d['c_0101_1'], 'c_1010_10' : negation(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' : negation(d['1']), 'c_0101_11' : d['c_0101_0'], 'c_0101_10' : d['c_0101_0'], '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' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_0'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_12']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : negation(d['c_0101_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_12']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0011_12']), 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : negation(d['c_0101_1']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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_1100_0'], 's_1_7' : d['1'], 's_1_6' : negation(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_11'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_4'], 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : d['c_0011_4'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], '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_8'], '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_0011_7']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_12']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0011_7']})} 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_11, c_0011_12, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_8, c_1001_0, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1017552223493/4402118400*c_1100_0^7 - 627826592597/1100529600*c_1100_0^6 - 26972412511/4402118400*c_1100_0^5 + 1932750711019/2201059200*c_1100_0^4 - 213887589241/366843200*c_1100_0^3 + 276469086813/366843200*c_1100_0^2 - 889268978699/4402118400*c_1100_0 + 133364932199/1100529600, c_0011_0 - 1, c_0011_11 + 1420133/229277*c_1100_0^7 - 5264434/229277*c_1100_0^6 + 6536415/229277*c_1100_0^5 - 3149898/229277*c_1100_0^4 + 2484434/229277*c_1100_0^3 - 1199676/229277*c_1100_0^2 + 1034643/229277*c_1100_0 - 300498/229277, c_0011_12 - 1330979/229277*c_1100_0^7 + 3872022/229277*c_1100_0^6 - 2689826/229277*c_1100_0^5 + 106574/229277*c_1100_0^4 - 1996971/229277*c_1100_0^3 - 415776/229277*c_1100_0^2 - 563585/229277*c_1100_0 - 186248/229277, c_0011_4 + 401492/229277*c_1100_0^7 - 1248963/229277*c_1100_0^6 + 1222478/229277*c_1100_0^5 - 761612/229277*c_1100_0^4 + 1112956/229277*c_1100_0^3 - 245997/229277*c_1100_0^2 + 419382/229277*c_1100_0 - 54411/229277, c_0011_7 + 809120/229277*c_1100_0^7 - 3993224/229277*c_1100_0^6 + 6653876/229277*c_1100_0^5 - 4163190/229277*c_1100_0^4 + 2159834/229277*c_1100_0^3 - 2495966/229277*c_1100_0^2 + 375454/229277*c_1100_0 - 695422/229277, c_0101_0 + 2305277/229277*c_1100_0^7 - 7930313/229277*c_1100_0^6 + 8368591/229277*c_1100_0^5 - 2933350/229277*c_1100_0^4 + 3918838/229277*c_1100_0^3 - 2048851/229277*c_1100_0^2 + 1048059/229277*c_1100_0 - 347909/229277, c_0101_1 - 1, c_0101_12 - 289991/229277*c_1100_0^7 + 813992/229277*c_1100_0^6 - 284453/229277*c_1100_0^5 - 551980/229277*c_1100_0^4 - 161799/229277*c_1100_0^3 + 54422/229277*c_1100_0^2 + 195626/229277*c_1100_0 + 58268/229277, c_0101_2 + 1260064/229277*c_1100_0^7 - 3451162/229277*c_1100_0^6 + 1926514/229277*c_1100_0^5 + 177375/229277*c_1100_0^4 + 2425476/229277*c_1100_0^3 + 343333/229277*c_1100_0^2 + 461166/229277*c_1100_0 + 48533/229277, c_0101_8 + 1094665/229277*c_1100_0^7 - 2688126/229277*c_1100_0^6 + 492237/229277*c_1100_0^5 + 1991452/229277*c_1100_0^4 + 646048/229277*c_1100_0^3 + 693112/229277*c_1100_0^2 + 253223/229277*c_1100_0 + 401924/229277, c_1001_0 - 1613794/229277*c_1100_0^7 + 5867358/229277*c_1100_0^6 - 6861660/229277*c_1100_0^5 + 2723718/229277*c_1100_0^4 - 2644083/229277*c_1100_0^3 + 1748432/229277*c_1100_0^2 - 1053580/229277*c_1100_0 + 235230/229277, c_1001_1 + 855504/229277*c_1100_0^7 - 1454550/229277*c_1100_0^6 - 1400424/229277*c_1100_0^5 + 2258970/229277*c_1100_0^4 + 1345559/229277*c_1100_0^3 + 1591316/229277*c_1100_0^2 + 502716/229277*c_1100_0 + 396244/229277, c_1100_0^8 - 42/13*c_1100_0^7 + 43/13*c_1100_0^6 - 24/13*c_1100_0^5 + 34/13*c_1100_0^4 - 8/13*c_1100_0^3 + c_1100_0^2 - 2/13*c_1100_0 + 2/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB