Magma V2.19-8 Tue Aug 20 2013 23:49:05 on localhost [Seed = 307525786] Type ? for help. Type -D to quit. Loading file "L12n1336__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1336 geometric_solution 10.72985423 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 -1 7 -6 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 -0.231097406507 1.133134423210 0 5 2 6 0132 0132 1023 0132 0 1 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 -1 1 0 0 1 -1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563134946672 1.172503100894 5 0 1 7 0132 0132 1023 0132 1 0 0 0 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 1 -1 0 -1 0 1 0 2 0 0 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.356496754733 1.199553651815 8 9 8 0 0132 0132 2031 0132 1 1 0 1 0 -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 7 0 -7 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.172796074498 0.847266887020 7 10 0 8 3012 0132 0132 2031 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 0 0 0 0 0 0 0 0 6 -6 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 -0.231097406507 1.133134423210 2 1 10 7 0132 0132 3201 1230 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 1 0 -1 0 1 0 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.022471381949 0.530758125780 11 11 1 8 0132 2310 0132 3012 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 1 -1 0 -1 0 1 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369096571616 0.832297346347 5 10 2 4 3012 0321 0132 1230 1 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 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413690643846 0.365827725585 3 4 6 3 0132 1302 1230 1302 1 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 0 0 0 0 0 0 0 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 0.768902593493 1.133134423210 11 3 10 11 1230 0132 0321 3012 1 0 1 0 0 1 0 -1 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -7 0 7 -1 0 0 1 -7 6 0 1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.578408247624 0.763044909798 5 4 9 7 2310 0132 0321 0321 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 0 0 0 0 0 0 0 0 0 0 0 -3 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563134946672 1.172503100894 6 9 9 6 0132 3012 1230 3201 0 1 0 1 0 1 0 -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 3 -1 -2 1 0 -1 0 0 1 0 -1 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.445257323985 1.004036660574 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_0011_7'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0110_4'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0101_1'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : 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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_3']), 'c_1100_8' : d['c_0101_11'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_1010_8']), 'c_1100_7' : d['c_0110_4'], 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : negation(d['c_1010_8']), 'c_1100_3' : negation(d['c_1010_8']), 'c_1100_2' : d['c_0110_4'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_1001_0'], 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0011_7'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_1010_8'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(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' : 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' : negation(d['c_0011_3']), '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' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), '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_0'], 'c_0110_10' : negation(d['c_0011_7']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0011_7'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_7'], 'c_0110_5' : d['c_0011_7'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_11']})} 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_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0110_4, c_1001_0, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 37656368701/1088691582*c_1010_8^8 - 596536563629/4354766328*c_1010_8^7 - 1181466403765/4354766328*c_1010_8^6 - 171894420815/362897194*c_1010_8^5 - 490559971161/131962616*c_1010_8^4 - 3406585040447/395887848*c_1010_8^3 - 2599590507073/4354766328*c_1010_8^2 - 366645626909/395887848*c_1010_8 - 5094567562493/4354766328, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 43932799/1088691582*c_1010_8^8 + 74146267/544345791*c_1010_8^7 + 249819835/1088691582*c_1010_8^6 + 144470177/362897194*c_1010_8^5 + 67350487/16495327*c_1010_8^4 + 378049366/49485981*c_1010_8^3 - 2350184941/544345791*c_1010_8^2 + 143133283/49485981*c_1010_8 + 1138397027/1088691582, c_0011_3 + 1, c_0011_7 + 89936279/1088691582*c_1010_8^8 + 692986769/2177383164*c_1010_8^7 + 1353952915/2177383164*c_1010_8^6 + 396450341/362897194*c_1010_8^5 + 580621041/65981308*c_1010_8^4 + 3896013239/197943924*c_1010_8^3 + 252508153/2177383164*c_1010_8^2 + 777234041/197943924*c_1010_8 + 2936902955/2177383164, c_0101_0 - 1, c_0101_1 - 53321231/2177383164*c_1010_8^8 - 43753498/544345791*c_1010_8^7 - 287396837/2177383164*c_1010_8^6 - 159362433/725794388*c_1010_8^5 - 40109850/16495327*c_1010_8^4 - 217326490/49485981*c_1010_8^3 + 3368775299/1088691582*c_1010_8^2 - 83969891/98971962*c_1010_8 + 402824987/2177383164, c_0101_10 - 24096905/725794388*c_1010_8^8 - 44953173/362897194*c_1010_8^7 - 177074509/725794388*c_1010_8^6 - 321294221/725794388*c_1010_8^5 - 117334193/32990654*c_1010_8^4 - 251343251/32990654*c_1010_8^3 - 27437057/181448597*c_1010_8^2 - 64678233/16495327*c_1010_8 - 388579793/725794388, c_0101_11 - 53321231/2177383164*c_1010_8^8 - 43753498/544345791*c_1010_8^7 - 287396837/2177383164*c_1010_8^6 - 159362433/725794388*c_1010_8^5 - 40109850/16495327*c_1010_8^4 - 217326490/49485981*c_1010_8^3 + 3368775299/1088691582*c_1010_8^2 - 83969891/98971962*c_1010_8 + 402824987/2177383164, c_0110_4 + 13434007/1088691582*c_1010_8^8 + 128614345/2177383164*c_1010_8^7 + 292951655/2177383164*c_1010_8^6 + 87307353/362897194*c_1010_8^5 + 96095821/65981308*c_1010_8^4 + 820215895/197943924*c_1010_8^3 + 5030456141/2177383164*c_1010_8^2 + 1634689/197943924*c_1010_8 + 2480776999/2177383164, c_1001_0 - 13434007/1088691582*c_1010_8^8 - 128614345/2177383164*c_1010_8^7 - 292951655/2177383164*c_1010_8^6 - 87307353/362897194*c_1010_8^5 - 96095821/65981308*c_1010_8^4 - 820215895/197943924*c_1010_8^3 - 5030456141/2177383164*c_1010_8^2 - 1634689/197943924*c_1010_8 - 2480776999/2177383164, c_1010_8^9 + 4*c_1010_8^8 + 8*c_1010_8^7 + 14*c_1010_8^6 + 108*c_1010_8^5 + 253*c_1010_8^4 + 27*c_1010_8^3 + 27*c_1010_8^2 + 34*c_1010_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB