Magma V2.19-8 Wed Aug 21 2013 00:56:03 on localhost [Seed = 576993290] Type ? for help. Type -D to quit. Loading file "L13n116__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n116 geometric_solution 12.40477830 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413390714489 0.509617355766 0 5 3 5 0132 0132 0321 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 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 -0.028503542437 0.843988440122 3 0 7 6 0321 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 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 0.719522747453 0.544446092054 2 8 1 0 0321 0132 0321 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 -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 0.162061591393 0.953585971635 7 5 0 9 0132 1230 0132 0132 1 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 0 -1 1 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 0.413390714489 0.509617355766 1 1 4 9 3012 0132 3012 0213 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 0.581030795696 0.476792985818 10 11 2 10 0132 0132 0132 2031 1 1 0 1 0 0 0 0 0 0 0 0 3 -1 0 -2 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 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668742168710 0.883788513851 4 9 12 2 0132 2103 0132 0132 1 1 1 1 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 -1 0 1 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719522747453 0.544446092054 10 3 11 9 3012 0132 0132 2310 1 1 1 1 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 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 0.666133950996 1.182053294869 8 7 4 5 3201 2103 0132 0213 1 1 1 1 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 -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 0.162061591393 0.953585971635 6 6 12 8 0132 1302 2103 1230 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 2 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 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455553907946 0.719522747453 12 6 12 8 2103 0132 0213 0132 1 1 1 0 0 0 0 0 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 0 0 0 -1 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 0.371859751795 0.992113533198 10 11 11 7 2103 0213 2103 0132 1 1 1 0 0 0 0 0 0 0 0 0 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 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 0.668742168710 0.883788513851 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_9'], 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_0101_8'], 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_12'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0011_12'], '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' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : negation(d['1']), 's_2_12' : negation(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' : 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' : 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' : negation(d['c_1001_2']), 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : d['c_0110_5'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : negation(d['c_0101_7']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_1001_2']), 'c_1010_8' : d['c_0110_5'], 'c_1100_8' : d['c_0011_9'], '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' : 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' : negation(d['c_0101_8']), '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_10']), '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_8'], 'c_0110_10' : negation(d['c_0011_3']), 'c_0110_12' : d['c_0101_7'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_5']), 'c_0110_8' : negation(d['c_0101_7']), 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_1001_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_12'], 's_2_9' : d['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_0011_3, c_0011_4, c_0011_9, c_0101_1, c_0101_7, c_0101_8, c_0110_5, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 7/4736*c_1001_2^5 + 55/2368*c_1001_2^4 + 11/592*c_1001_2^3 + 41/1184*c_1001_2^2 - 27/2368*c_1001_2 + 3/592, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 + 1/2*c_1001_2^5 - 1/2*c_1001_2^4 - c_1001_2^2 + c_1001_2, c_0011_3 + c_1001_2^2 + 1, c_0011_4 + 1, c_0011_9 - c_1001_2^2 - 1, c_0101_1 + c_1001_2, c_0101_7 - c_1001_2^5 + 2*c_1001_2^2 - 2*c_1001_2 - 1, c_0101_8 + c_1001_2^4 - c_1001_2^3 - 2*c_1001_2 + 2, c_0110_5 + c_1001_2^4 - 3*c_1001_2 + 2, c_1001_0 - c_1001_2^5 + 2*c_1001_2^2 - 2*c_1001_2 - 1, c_1001_1 + c_1001_2^4 - 2*c_1001_2 + 2, c_1001_2^6 + c_1001_2^4 - 2*c_1001_2^3 + 2*c_1001_2^2 + 2 ], 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_3, c_0011_4, c_0011_9, c_0101_1, c_0101_7, c_0101_8, c_0110_5, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 17106851/6468500*c_1001_2^7 - 94486661/6468500*c_1001_2^6 + 2668818509/64685000*c_1001_2^5 - 441947921/6468500*c_1001_2^4 + 2495456341/32342500*c_1001_2^3 - 2078607657/32342500*c_1001_2^2 + 2999801157/64685000*c_1001_2 - 141054519/6468500, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 + 485/761*c_1001_2^7 - 2405/761*c_1001_2^6 + 6969/761*c_1001_2^5 - 11548/761*c_1001_2^4 + 13737/761*c_1001_2^3 - 11253/761*c_1001_2^2 + 9095/761*c_1001_2 - 4077/761, c_0011_3 - 9498/12937*c_1001_2^7 + 39708/12937*c_1001_2^6 - 420666/64685*c_1001_2^5 + 95660/12937*c_1001_2^4 - 443818/64685*c_1001_2^3 + 371251/64685*c_1001_2^2 - 279218/64685*c_1001_2 + 9797/12937, c_0011_4 + 3612/12937*c_1001_2^7 - 22987/12937*c_1001_2^6 + 365104/64685*c_1001_2^5 - 131269/12937*c_1001_2^4 + 774032/64685*c_1001_2^3 - 603254/64685*c_1001_2^2 + 446812/64685*c_1001_2 - 45773/12937, c_0011_9 + 9498/12937*c_1001_2^7 - 39708/12937*c_1001_2^6 + 420666/64685*c_1001_2^5 - 95660/12937*c_1001_2^4 + 443818/64685*c_1001_2^3 - 371251/64685*c_1001_2^2 + 279218/64685*c_1001_2 - 9797/12937, c_0101_1 + 24402/12937*c_1001_2^7 - 125962/12937*c_1001_2^6 + 1691859/64685*c_1001_2^5 - 529858/12937*c_1001_2^4 + 2909582/64685*c_1001_2^3 - 2334994/64685*c_1001_2^2 + 1631612/64685*c_1001_2 - 126762/12937, c_0101_7 - 3612/12937*c_1001_2^7 + 22987/12937*c_1001_2^6 - 365104/64685*c_1001_2^5 + 131269/12937*c_1001_2^4 - 774032/64685*c_1001_2^3 + 603254/64685*c_1001_2^2 - 446812/64685*c_1001_2 + 32836/12937, c_0101_8 + 3992/12937*c_1001_2^7 - 18242/12937*c_1001_2^6 + 153514/64685*c_1001_2^5 - 12414/12937*c_1001_2^4 - 96258/64685*c_1001_2^3 + 105346/64685*c_1001_2^2 - 66498/64685*c_1001_2 + 24426/12937, c_0110_5 - 2174/12937*c_1001_2^7 + 18814/12937*c_1001_2^6 - 273833/64685*c_1001_2^5 + 88414/12937*c_1001_2^4 - 377624/64685*c_1001_2^3 + 280638/64685*c_1001_2^2 - 177739/64685*c_1001_2 + 17070/12937, c_1001_0 - 3612/12937*c_1001_2^7 + 22987/12937*c_1001_2^6 - 365104/64685*c_1001_2^5 + 131269/12937*c_1001_2^4 - 774032/64685*c_1001_2^3 + 603254/64685*c_1001_2^2 - 446812/64685*c_1001_2 + 32836/12937, c_1001_1 - 13288/12937*c_1001_2^7 + 72388/12937*c_1001_2^6 - 982846/64685*c_1001_2^5 + 309136/12937*c_1001_2^4 - 1643603/64685*c_1001_2^3 + 1307816/64685*c_1001_2^2 - 937018/64685*c_1001_2 + 71916/12937, c_1001_2^8 - 6*c_1001_2^7 + 92/5*c_1001_2^6 - 34*c_1001_2^5 + 216/5*c_1001_2^4 - 202/5*c_1001_2^3 + 156/5*c_1001_2^2 - 18*c_1001_2 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB