Magma V2.19-8 Wed Aug 21 2013 00:58:57 on localhost [Seed = 374345085] Type ? for help. Type -D to quit. Loading file "L13n6074__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6074 geometric_solution 11.32877367 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 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 0 0 0 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 0.420428693349 1.098155663558 0 5 7 6 0132 0132 0132 0132 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 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 -1.006511184198 1.409272473588 5 0 8 3 0132 0132 0132 2310 0 1 0 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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.009671985687 0.520089881841 2 8 9 0 3201 0132 0132 0132 0 0 0 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 -1 0 1 0 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.871269599221 0.867507567205 10 9 0 11 0132 0132 0132 0132 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 0 0 0 0 -1 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 -0.304062214578 0.794207551234 2 1 12 12 0132 0132 0132 3012 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 -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 0.220698425608 0.917868177203 8 8 1 12 2310 1023 0132 3201 1 0 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 0 0 0 0 0 0 0 0 2 0 0 -2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219016155675 0.515321524810 9 10 12 1 0132 0132 3201 0132 1 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 0 0 0 0 0 0 0 0 1 -1 0 -2 0 2 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 -0.586351608951 1.321514717821 6 3 6 2 1023 0132 3201 0132 0 1 1 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 0 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301438132604 1.643641153189 7 4 11 3 0132 0132 0132 0132 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 0 0 0 0 0 0 2 0 -1 -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 0.704164456292 1.206110169560 4 7 11 11 0132 0132 3012 3120 1 0 1 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 0 0 0 0 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 0 0 0 0 0 0 0.146778691294 0.563559454882 10 10 4 9 3120 1230 0132 0132 0 0 1 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 1 -1 0 -1 0 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 0.146778691294 0.563559454882 7 6 5 5 2310 2310 1230 0132 1 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 0 0 0 0 -1 0 1 0 0 0 0 -2 2 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423641547666 0.573869809379 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : negation(d['c_0101_2']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_12' : d['c_0101_8'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(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' : 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_1100_8' : d['c_0011_3'], '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_0011_12']), 'c_1100_6' : negation(d['c_0011_12']), 'c_1100_1' : negation(d['c_0011_12']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 'c_1100_12' : d['c_0101_2'], '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_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0101_3']), 'c_0101_12' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_3']), '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_1'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_8'])})} 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_12, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_8, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 576163/479*c_1100_0^8 - 6548664/479*c_1100_0^7 + 20243481/479*c_1100_0^6 - 14123979/479*c_1100_0^5 - 26754947/479*c_1100_0^4 - 2488071/479*c_1100_0^3 + 35009418/479*c_1100_0^2 + 20334595/479*c_1100_0 + 6666779/479, c_0011_0 - 1, c_0011_10 + 2571522/4886279*c_1100_0^8 - 11616688/4886279*c_1100_0^7 + 13496465/4886279*c_1100_0^6 + 12448877/4886279*c_1100_0^5 - 1774269/4886279*c_1100_0^4 - 15719604/4886279*c_1100_0^3 - 13314859/4886279*c_1100_0^2 - 14266092/4886279*c_1100_0 - 3777004/4886279, c_0011_11 + 2857328/4886279*c_1100_0^8 - 13350374/4886279*c_1100_0^7 + 17279435/4886279*c_1100_0^6 + 9823325/4886279*c_1100_0^5 - 733271/4886279*c_1100_0^4 - 18185357/4886279*c_1100_0^3 - 14066480/4886279*c_1100_0^2 - 12654532/4886279*c_1100_0 - 1973584/4886279, c_0011_12 - 20321/48379*c_1100_0^8 + 91741/48379*c_1100_0^7 - 106896/48379*c_1100_0^6 - 92715/48379*c_1100_0^5 - 6320/48379*c_1100_0^4 + 142040/48379*c_1100_0^3 + 127833/48379*c_1100_0^2 + 113561/48379*c_1100_0 + 17847/48379, c_0011_3 + 24207/48379*c_1100_0^8 - 108061/48379*c_1100_0^7 + 123531/48379*c_1100_0^6 + 106262/48379*c_1100_0^5 + 34719/48379*c_1100_0^4 - 178623/48379*c_1100_0^3 - 161104/48379*c_1100_0^2 - 142960/48379*c_1100_0 - 52519/48379, c_0101_0 - 1, c_0101_1 + 20321/48379*c_1100_0^8 - 91741/48379*c_1100_0^7 + 106896/48379*c_1100_0^6 + 92715/48379*c_1100_0^5 + 6320/48379*c_1100_0^4 - 142040/48379*c_1100_0^3 - 127833/48379*c_1100_0^2 - 65182/48379*c_1100_0 - 17847/48379, c_0101_10 - 1412/48379*c_1100_0^8 + 16288/48379*c_1100_0^7 - 55021/48379*c_1100_0^6 + 61135/48379*c_1100_0^5 + 17095/48379*c_1100_0^4 + 25792/48379*c_1100_0^3 - 75979/48379*c_1100_0^2 - 20840/48379*c_1100_0 - 25348/48379, c_0101_2 + 1312162/4886279*c_1100_0^8 - 5977484/4886279*c_1100_0^7 + 7348400/4886279*c_1100_0^6 + 4487485/4886279*c_1100_0^5 + 2483705/4886279*c_1100_0^4 - 10174285/4886279*c_1100_0^3 - 7567323/4886279*c_1100_0^2 - 7215940/4886279*c_1100_0 - 2370212/4886279, c_0101_3 + 31554/48379*c_1100_0^8 - 142651/48379*c_1100_0^7 + 170083/48379*c_1100_0^6 + 130617/48379*c_1100_0^5 + 15494/48379*c_1100_0^4 - 198799/48379*c_1100_0^3 - 178529/48379*c_1100_0^2 - 157870/48379*c_1100_0 - 42054/48379, c_0101_8 + 24207/48379*c_1100_0^8 - 108061/48379*c_1100_0^7 + 123531/48379*c_1100_0^6 + 106262/48379*c_1100_0^5 + 34719/48379*c_1100_0^4 - 178623/48379*c_1100_0^3 - 161104/48379*c_1100_0^2 - 142960/48379*c_1100_0 - 52519/48379, c_1001_2 - 20321/48379*c_1100_0^8 + 91741/48379*c_1100_0^7 - 106896/48379*c_1100_0^6 - 92715/48379*c_1100_0^5 - 6320/48379*c_1100_0^4 + 142040/48379*c_1100_0^3 + 127833/48379*c_1100_0^2 + 113561/48379*c_1100_0 + 17847/48379, c_1100_0^9 - 4*c_1100_0^8 + 3*c_1100_0^7 + 7*c_1100_0^6 + 3*c_1100_0^5 - 7*c_1100_0^4 - 9*c_1100_0^3 - 8*c_1100_0^2 - 4*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.670 Total time: 2.879 seconds, Total memory usage: 32.09MB