Magma V2.19-8 Wed Aug 21 2013 00:04:57 on localhost [Seed = 3920594825] Type ? for help. Type -D to quit. Loading file "L14n6970__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n6970 geometric_solution 11.22942788 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 2031 0132 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 -1 0 1 -1 0 1 0 1 -4 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.268539520452 0.996781481351 0 4 6 5 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 0 0 0 1 0 0 -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 0.030719805154 1.239736598134 7 0 4 0 0132 0132 3120 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 1 0 -1 -1 0 1 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478514175593 0.652084537896 8 5 0 7 0132 3120 0132 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 -1 1 0 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 0.748012716721 0.935341871043 7 1 2 9 1023 0132 3120 0132 1 1 1 1 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 4 -4 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 0.391398910249 0.500610201349 8 3 1 10 2103 3120 0132 0132 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 -3 0 3 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 -0.326042268948 0.739257087797 11 10 10 1 0132 3012 0132 0132 1 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 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 0.193872017189 0.980024712831 2 4 3 8 0132 1023 2031 0321 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 -0.020934307844 1.519652131015 3 7 5 11 0132 0321 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638685595563 0.571398372775 11 11 4 10 1023 0321 0132 0321 1 1 0 1 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 4 -3 1 0 -1 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 0.805746234691 0.981954452855 6 9 5 6 1230 0321 0132 0132 1 1 0 1 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 3 -3 0 -1 0 1 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 0.193872017189 0.980024712831 6 9 8 9 0132 1023 0132 0321 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 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0.500610201349 0.608601089751 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0101_10']), 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_0011_5'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0011_5'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_1100_1'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_10']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0101_9'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : 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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0110_6' : d['c_0101_1'], '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' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_1'], '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_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0011_3'], 'c_1100_8' : negation(d['c_0101_10'])})} 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_5, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_0101_9, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 44463732758287/3168383454652330*c_1100_1^7 - 148815682464/8752440482465*c_1100_1^6 - 2609849456984683/3168383454652330*c_1100_1^5 + 19866380381514/316838345465233*c_1100_1^4 - 363342625314241/186375497332490*c_1100_1^3 - 24562493854043/5481632274485*c_1100_1^2 - 3637913795529159/1584191727326165*c_1100_1 - 3497269809535576/1584191727326165, c_0011_0 - 1, c_0011_10 + 12099/3522566*c_1100_1^7 + 12059/3522566*c_1100_1^6 + 697457/3522566*c_1100_1^5 - 104835/1761283*c_1100_1^4 + 1181331/3522566*c_1100_1^3 + 2046673/1761283*c_1100_1^2 + 764943/1761283*c_1100_1 - 1396799/3522566, c_0011_11 + 1, c_0011_3 - 483596/568894409*c_1100_1^7 + 18627/568894409*c_1100_1^6 - 26425938/568894409*c_1100_1^5 + 42120438/568894409*c_1100_1^4 - 157847/33464377*c_1100_1^3 + 2963882/33464377*c_1100_1^2 - 145968313/568894409*c_1100_1 + 281488444/568894409, c_0011_5 - 4335827/2275577636*c_1100_1^7 + 936299/2275577636*c_1100_1^6 - 240184651/2275577636*c_1100_1^5 + 387237809/2275577636*c_1100_1^4 - 15199167/133857508*c_1100_1^3 - 48437667/133857508*c_1100_1^2 + 281295271/1137788818*c_1100_1 + 778729096/568894409, c_0101_0 + 3559115/1137788818*c_1100_1^7 + 4153111/2275577636*c_1100_1^6 + 103777998/568894409*c_1100_1^5 - 156519369/1137788818*c_1100_1^4 + 16879252/33464377*c_1100_1^3 + 320624/1761283*c_1100_1^2 + 387576329/1137788818*c_1100_1 - 2395493645/2275577636, c_0101_1 - 483596/568894409*c_1100_1^7 + 18627/568894409*c_1100_1^6 - 26425938/568894409*c_1100_1^5 + 42120438/568894409*c_1100_1^4 - 157847/33464377*c_1100_1^3 + 2963882/33464377*c_1100_1^2 - 145968313/568894409*c_1100_1 + 281488444/568894409, c_0101_10 + 635081/568894409*c_1100_1^7 + 1994522/568894409*c_1100_1^6 + 37379128/568894409*c_1100_1^5 + 130613271/1137788818*c_1100_1^4 - 77156/33464377*c_1100_1^3 + 29036145/66928754*c_1100_1^2 + 657138223/568894409*c_1100_1 - 80832499/1137788818, c_0101_7 + 11980479/2275577636*c_1100_1^7 + 1365901/1137788818*c_1100_1^6 + 348623355/1137788818*c_1100_1^5 - 190533327/568894409*c_1100_1^4 + 32493592/33464377*c_1100_1^3 + 8083837/33464377*c_1100_1^2 + 1475678147/2275577636*c_1100_1 - 1832907185/1137788818, c_0101_9 + c_1100_1, c_1001_2 - 1, c_1100_1^8 + 58*c_1100_1^6 - 76*c_1100_1^5 + 191*c_1100_1^4 + 68*c_1100_1^3 + 66*c_1100_1^2 - 220*c_1100_1 + 181 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB