Magma V2.19-8 Wed Aug 21 2013 01:11:41 on localhost [Seed = 3684550126] Type ? for help. Type -D to quit. Loading file "L14n57881__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n57881 geometric_solution 12.35381864 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 2310 0132 0132 1 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 -3 4 -1 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396770835382 0.797075205179 0 4 4 0 0132 0132 3201 3201 1 1 1 1 0 -1 0 1 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 -3 0 3 0 0 0 0 -3 0 0 3 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.500495544824 1.005448368445 5 6 7 0 0132 0132 0132 0132 1 1 1 2 0 1 0 -1 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 4 0 -4 4 0 -4 0 0 0 0 0 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.137953700089 0.823892447281 8 9 0 9 0132 0132 0132 3120 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 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644002742637 0.812409571488 1 1 6 10 2310 0132 3120 0132 1 1 1 1 0 1 0 -1 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 3 0 -3 3 0 0 -3 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396770835382 0.797075205179 2 7 9 6 0132 3120 1230 3120 1 1 2 1 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 -4 0 4 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606254030466 0.579421449737 5 2 4 7 3120 0132 3120 3120 1 1 2 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 -4 0 4 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 0.423452326093 0.417427593049 6 5 11 2 3120 3120 0132 0132 1 1 2 1 0 0 0 0 0 0 -1 1 0 -1 0 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 -4 4 -1 -3 0 4 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606254030466 0.579421449737 3 12 10 10 0132 0132 2031 2310 0 1 1 1 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 -1 0 1 0 0 3 -3 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400787685411 0.755906438741 3 3 12 5 3120 0132 2103 3012 1 1 1 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 0 0 0 0 0 0 4 0 0 -4 1 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452494772593 1.032623360713 8 11 4 8 3201 2031 0132 1302 1 1 0 1 0 0 1 -1 -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 3 -3 -3 0 3 0 -1 1 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644002742637 0.812409571488 10 12 12 7 1302 2310 3120 0132 1 1 1 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 -4 4 0 4 0 -4 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644002742637 0.812409571488 9 8 11 11 2103 0132 3120 3201 0 1 1 1 0 0 1 -1 0 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 1 1 -2 0 0 4 -4 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400787685411 0.755906438741 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_10'], 'c_1001_10' : negation(d['c_0101_4']), 'c_1001_12' : negation(d['c_0110_10']), 'c_1001_5' : d['c_0110_12'], 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_7' : negation(d['c_0110_12']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0011_2'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : negation(d['c_0110_10']), 'c_1010_12' : negation(d['c_0110_10']), 'c_1010_11' : negation(d['c_0110_12']), 'c_1010_10' : negation(d['c_0011_10']), 's_3_11' : negation(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' : negation(d['c_0011_10']), 'c_0101_10' : negation(d['c_0101_1']), 's_2_0' : negation(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' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : negation(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' : 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_1100_9' : negation(d['c_0110_12']), 'c_1100_8' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_0101_12']), 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0101_12']), 'c_1100_3' : negation(d['c_0101_12']), 'c_1100_2' : negation(d['c_0101_12']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_2'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : d['c_0011_2'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_12'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : negation(d['c_0101_0']), 'c_1010_8' : negation(d['c_0110_10']), 's_3_1' : 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' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_4'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], '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_12'], 'c_0101_8' : negation(d['c_0101_6']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_6']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : negation(d['c_0101_6']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2']})} 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_0011_2, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_4, c_0101_6, c_0110_10, c_0110_12, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 542058821599440/410607794051*c_1001_0^9 + 102886354336760/21610936529*c_1001_0^8 + 3321526520372152/410607794051*c_1001_0^7 + 3973248815518014/410607794051*c_1001_0^6 + 4023646467371747/410607794051*c_1001_0^5 + 3419711180539998/410607794051*c_1001_0^4 + 9719578113528399/1642431176204*c_1001_0^3 + 1650656481594293/469266050344*c_1001_0^2 + 1349370299274293/938532100688*c_1001_0 + 6492172362579/24698213176, c_0011_0 - 1, c_0011_10 + 1238040192/441039521*c_1001_0^9 + 2672450240/441039521*c_1001_0^8 + 2589700288/441039521*c_1001_0^7 + 5847230672/441039521*c_1001_0^6 + 6869173736/441039521*c_1001_0^5 + 4975100920/441039521*c_1001_0^4 + 4331164986/441039521*c_1001_0^3 + 3056709729/441039521*c_1001_0^2 + 2839996751/882079042*c_1001_0 + 1680828239/882079042, c_0011_12 - 18804301824/441039521*c_1001_0^9 - 41801767040/441039521*c_1001_0^8 - 56688825984/441039521*c_1001_0^7 - 67996988944/441039521*c_1001_0^6 - 68099949616/441039521*c_1001_0^5 - 55603625832/441039521*c_1001_0^4 - 39756851024/441039521*c_1001_0^3 - 22187271099/441039521*c_1001_0^2 - 20307624885/882079042*c_1001_0 - 6689462737/882079042, c_0011_2 - 1, c_0101_0 - 11573791872/441039521*c_1001_0^9 - 27688283008/441039521*c_1001_0^8 - 38895849632/441039521*c_1001_0^7 - 47746965856/441039521*c_1001_0^6 - 47808080968/441039521*c_1001_0^5 - 39823241580/441039521*c_1001_0^4 - 29332811686/441039521*c_1001_0^3 - 16758716381/441039521*c_1001_0^2 - 7658828481/441039521*c_1001_0 - 2703003904/441039521, c_0101_1 - 12563939328/441039521*c_1001_0^9 - 26570912512/441039521*c_1001_0^8 - 34692175488/441039521*c_1001_0^7 - 41288614304/441039521*c_1001_0^6 - 39950874048/441039521*c_1001_0^5 - 31364469320/441039521*c_1001_0^4 - 22093888532/441039521*c_1001_0^3 - 11397241790/441039521*c_1001_0^2 - 5053580287/441039521*c_1001_0 - 1429215992/441039521, c_0101_12 + 26429790720/441039521*c_1001_0^9 + 60443022080/441039521*c_1001_0^8 + 81800977600/441039521*c_1001_0^7 + 98610889856/441039521*c_1001_0^6 + 98508282736/441039521*c_1001_0^5 + 80011998168/441039521*c_1001_0^4 + 57627815556/441039521*c_1001_0^3 + 31805355778/441039521*c_1001_0^2 + 14547858960/441039521*c_1001_0 + 4792612257/441039521, c_0101_2 - 12066309888/441039521*c_1001_0^9 - 23353982464/441039521*c_1001_0^8 - 29587862016/441039521*c_1001_0^7 - 36028649216/441039521*c_1001_0^6 - 34857152496/441039521*c_1001_0^5 - 26725286680/441039521*c_1001_0^4 - 19451493848/441039521*c_1001_0^3 - 10323472308/441039521*c_1001_0^2 - 5079588424/441039521*c_1001_0 - 1469402933/441039521, c_0101_4 + 11573791872/441039521*c_1001_0^9 + 27688283008/441039521*c_1001_0^8 + 38895849632/441039521*c_1001_0^7 + 47746965856/441039521*c_1001_0^6 + 47808080968/441039521*c_1001_0^5 + 39823241580/441039521*c_1001_0^4 + 29332811686/441039521*c_1001_0^3 + 16758716381/441039521*c_1001_0^2 + 7658828481/441039521*c_1001_0 + 2703003904/441039521, c_0101_6 + 26429790720/441039521*c_1001_0^9 + 60443022080/441039521*c_1001_0^8 + 81800977600/441039521*c_1001_0^7 + 98610889856/441039521*c_1001_0^6 + 98508282736/441039521*c_1001_0^5 + 80011998168/441039521*c_1001_0^4 + 57627815556/441039521*c_1001_0^3 + 31805355778/441039521*c_1001_0^2 + 14547858960/441039521*c_1001_0 + 4792612257/441039521, c_0110_10 + 1, c_0110_12 + 12563939328/441039521*c_1001_0^9 + 26570912512/441039521*c_1001_0^8 + 34692175488/441039521*c_1001_0^7 + 41288614304/441039521*c_1001_0^6 + 39950874048/441039521*c_1001_0^5 + 31364469320/441039521*c_1001_0^4 + 22093888532/441039521*c_1001_0^3 + 11397241790/441039521*c_1001_0^2 + 5053580287/441039521*c_1001_0 + 1429215992/441039521, c_1001_0^10 + 19/6*c_1001_0^9 + 31/6*c_1001_0^8 + 157/24*c_1001_0^7 + 341/48*c_1001_0^6 + 77/12*c_1001_0^5 + 949/192*c_1001_0^4 + 1229/384*c_1001_0^3 + 427/256*c_1001_0^2 + 133/192*c_1001_0 + 133/768 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB