Magma V2.19-8 Tue Aug 20 2013 23:43:56 on localhost [Seed = 4122185954] Type ? for help. Type -D to quit. Loading file "L14n13552__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13552 geometric_solution 9.60194237 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 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 1 0 -1 0 0 -1 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 0.443991284501 0.983264868016 0 4 2 5 0132 2031 1302 0132 1 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 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 0.546074061201 0.390185231939 1 0 7 6 2031 0132 0132 0132 1 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 -1 1 0 0 0 -1 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 0.131031349850 1.357530614109 4 8 6 0 3201 0132 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 0 0 0 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 0.668953061684 1.045059865487 1 5 0 3 1302 3012 0132 2310 1 1 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 -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 0.694045178089 1.700040361333 4 9 1 9 1230 0132 0132 1023 1 1 1 1 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.833929656552 0.368100097888 3 9 2 8 2103 1023 0132 1230 1 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 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 1.357157780486 0.830974843568 10 10 10 2 0132 1302 3012 0132 1 1 1 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 -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 0.028872056093 0.506865372125 6 3 9 10 3012 0132 1023 1302 1 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 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 0.134719339211 0.560877757982 6 5 8 5 1023 0132 1023 1023 1 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 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 0.799963651324 0.567855907822 7 7 8 7 0132 1230 2031 2031 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 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 0.809271945291 0.422387110034 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_3']), 'c_1001_10' : negation(d['c_0110_8']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_9'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : negation(d['1']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : d['c_0110_8'], 'c_1100_6' : d['c_0110_8'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0110_8'], 'c_1100_10' : d['c_0011_5'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_9'], 'c_1010_2' : d['c_0101_9'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : negation(d['c_0011_5']), 's_3_1' : negation(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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_5']), '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_10' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_8'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0101_10'], 'c_1100_8' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_10, c_0101_3, c_0101_8, c_0101_9, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 29577640390882992441/9018236691576658910*c_0110_8^5 - 19816847629292772223/9018236691576658910*c_0110_8^4 + 44788572464665435366/4509118345788329455*c_0110_8^3 + 90864366813904586828/4509118345788329455*c_0110_8^2 - 52065546566244248029/4509118345788329455*c_0110_8 - 11662966788466131893/310973679019884790, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 - 804713976/13840496761*c_0110_8^5 + 598659212/13840496761*c_0110_8^4 + 7139335940/13840496761*c_0110_8^3 + 5243843292/13840496761*c_0110_8^2 - 10721649556/13840496761*c_0110_8 - 318417829/477258509, c_0011_4 - 3200727519/96883477327*c_0110_8^5 + 8456705494/96883477327*c_0110_8^4 - 4918474777/96883477327*c_0110_8^3 + 27090461175/96883477327*c_0110_8^2 - 13978086461/96883477327*c_0110_8 + 985188304/3340809563, c_0011_5 + 11927398428/96883477327*c_0110_8^5 + 4594032259/96883477327*c_0110_8^4 - 16495542712/96883477327*c_0110_8^3 - 47279209136/96883477327*c_0110_8^2 + 51418587004/96883477327*c_0110_8 + 733973286/3340809563, c_0101_0 + 11761014771/96883477327*c_0110_8^5 + 3974658488/96883477327*c_0110_8^4 - 22349557247/96883477327*c_0110_8^3 - 12363972323/96883477327*c_0110_8^2 + 49434014688/96883477327*c_0110_8 + 139039860/3340809563, c_0101_10 - 11927398428/96883477327*c_0110_8^5 - 4594032259/96883477327*c_0110_8^4 + 16495542712/96883477327*c_0110_8^3 + 47279209136/96883477327*c_0110_8^2 + 45464890323/96883477327*c_0110_8 - 733973286/3340809563, c_0101_3 - 2633222889/96883477327*c_0110_8^5 + 6743943268/96883477327*c_0110_8^4 - 35115210577/96883477327*c_0110_8^3 - 8033726140/96883477327*c_0110_8^2 + 3228965247/96883477327*c_0110_8 + 4001088121/3340809563, c_0101_8 + 5449721805/96883477327*c_0110_8^5 - 8839250510/96883477327*c_0110_8^4 + 10127534787/96883477327*c_0110_8^3 - 10319725382/96883477327*c_0110_8^2 + 34296808199/96883477327*c_0110_8 - 1216220938/3340809563, c_0101_9 - 402356988/13840496761*c_0110_8^5 + 299329606/13840496761*c_0110_8^4 + 3569667970/13840496761*c_0110_8^3 + 2621921646/13840496761*c_0110_8^2 - 5360824778/13840496761*c_0110_8 + 79420340/477258509, c_0110_8^6 + 35/99*c_0110_8^5 - 149/99*c_0110_8^4 - 610/99*c_0110_8^3 + 194/99*c_0110_8^2 + 377/99*c_0110_8 + 841/99 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB