Magma V2.19-8 Tue Aug 20 2013 23:40:53 on localhost [Seed = 3203979861] Type ? for help. Type -D to quit. Loading file "K12n432__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n432 geometric_solution 11.33092298 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 1 -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 1 -1 0 -7 0 0 7 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.846759530168 0.879227288923 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -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 0 7 0 0 -7 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265564899484 1.485235375295 8 0 9 6 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875549202838 0.537389936045 8 10 11 0 3012 0132 0132 0132 0 0 0 0 0 0 0 0 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 -1 1 6 0 -6 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.297759721971 0.639904873892 11 6 0 10 0132 2031 0132 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 -7 7 -1 1 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469756747340 0.675055211337 7 1 11 9 1023 0132 3120 1302 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 -1 1 0 -6 0 6 0 -6 7 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.128141370848 0.799049344286 4 2 1 9 1302 1302 0132 3201 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 0 -7 0 7 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 0.154597834346 0.626311868146 8 5 10 1 1023 1023 1230 0132 0 0 0 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 0 0 0 0 0 6 -7 1 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.031118371387 0.950114851925 2 7 11 3 0132 1023 2310 1230 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 0 6 -6 0 0 0 0 0 6 0 -6 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572859977592 0.379254171091 10 6 5 2 0321 2310 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.617559875823 0.950068070785 9 3 4 7 0321 0132 0132 3012 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 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548849826741 0.883437391246 4 8 5 3 0132 3201 3120 0132 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 -1 0 1 0 0 -6 6 0 -6 0 6 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.786319470047 0.803500718084 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0110_6']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0110_5'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : negation(d['c_0110_6']), 'c_1001_9' : negation(d['c_0110_5']), 'c_1001_8' : d['c_0101_7'], 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : negation(d['c_0101_7']), 's_3_11' : d['1'], 's_0_11' : 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' : 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' : 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_1100_9' : negation(d['c_0110_5']), 'c_1100_8' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_9']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0110_5']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : negation(d['c_0101_5']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : d['c_0110_5'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0110_6']), 'c_1010_9' : negation(d['c_0110_6']), 'c_1010_8' : d['c_0101_1'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : 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' : 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' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_11'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_11'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_9, c_0101_1, c_0101_10, c_0101_5, c_0101_7, c_0101_8, c_0110_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 7797606499/696466280*c_0110_6^7 + 6718216857/1392932560*c_0110_6^6 - 17105154279/2785865120*c_0110_6^5 - 49731547569/2785865120*c_0110_6^4 + 135643068/17411657*c_0110_6^3 + 79071243457/2785865120*c_0110_6^2 + 5804996311/348233140*c_0110_6 + 948202949/2785865120, c_0011_0 - 1, c_0011_10 - 616/415*c_0110_6^7 - 164/415*c_0110_6^6 + 634/415*c_0110_6^5 + 834/415*c_0110_6^4 - 173/83*c_0110_6^3 - 1882/415*c_0110_6^2 - 108/415*c_0110_6 + 411/415, c_0011_11 + 177/415*c_0110_6^7 + 243/830*c_0110_6^6 - 733/1660*c_0110_6^5 - 287/332*c_0110_6^4 + 177/415*c_0110_6^3 + 3407/1660*c_0110_6^2 - 4/415*c_0110_6 - 1221/1660, c_0011_6 - 9/415*c_0110_6^7 + 269/830*c_0110_6^6 - 19/1660*c_0110_6^5 + 99/332*c_0110_6^4 - 424/415*c_0110_6^3 + 1121/1660*c_0110_6^2 + 373/415*c_0110_6 - 163/1660, c_0011_9 - 411/415*c_0110_6^7 - 553/830*c_0110_6^6 + 2231/1660*c_0110_6^5 + 2021/1660*c_0110_6^4 - 132/83*c_0110_6^3 - 6133/1660*c_0110_6^2 - 258/415*c_0110_6 + 1299/1660, c_0101_1 - 671/415*c_0110_6^7 - 209/166*c_0110_6^6 + 1387/1660*c_0110_6^5 + 4369/1660*c_0110_6^4 - 422/415*c_0110_6^3 - 8129/1660*c_0110_6^2 - 1333/415*c_0110_6 - 53/1660, c_0101_10 + 439/415*c_0110_6^7 + 17/166*c_0110_6^6 - 1803/1660*c_0110_6^5 - 1901/1660*c_0110_6^4 + 688/415*c_0110_6^3 + 4121/1660*c_0110_6^2 + 112/415*c_0110_6 - 423/1660, c_0101_5 + 262/415*c_0110_6^7 - 79/415*c_0110_6^6 - 107/166*c_0110_6^5 - 233/830*c_0110_6^4 + 511/415*c_0110_6^3 + 357/830*c_0110_6^2 - 299/415*c_0110_6 - 431/830, c_0101_7 - 262/415*c_0110_6^7 + 79/415*c_0110_6^6 + 107/166*c_0110_6^5 + 233/830*c_0110_6^4 - 511/415*c_0110_6^3 - 357/830*c_0110_6^2 + 299/415*c_0110_6 + 1261/830, c_0101_8 - 1/5*c_0110_6^7 - 11/10*c_0110_6^6 + 1/4*c_0110_6^5 + 23/20*c_0110_6^4 + 7/5*c_0110_6^3 - 47/20*c_0110_6^2 - 13/5*c_0110_6 + 1/20, c_0110_5 - 99/415*c_0110_6^7 + 303/830*c_0110_6^6 + 1119/1660*c_0110_6^5 - 531/1660*c_0110_6^4 - 53/83*c_0110_6^3 - 617/1660*c_0110_6^2 + 368/415*c_0110_6 + 531/1660, c_0110_6^8 + 1/2*c_0110_6^7 - 3/4*c_0110_6^6 - 3/2*c_0110_6^5 + 3/4*c_0110_6^4 + 11/4*c_0110_6^3 + 5/4*c_0110_6^2 - 1/4*c_0110_6 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.930 Total time: 1.139 seconds, Total memory usage: 64.12MB