Magma V2.19-8 Tue Aug 20 2013 23:56:06 on localhost [Seed = 290945331] Type ? for help. Type -D to quit. Loading file "L14n14356__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14356 geometric_solution 10.92709835 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 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 0 1 -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 0.583592983042 0.628837425074 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 -1 1 0 0 0 0 0 0 1 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -11 11 0 0 0 0 0 1 10 0 -11 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555814359383 1.043721275697 8 0 9 4 0132 0132 0132 0213 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 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 0.032291308507 0.583639578647 8 10 10 0 2031 0132 0321 0132 1 1 1 1 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 0 -1 1 0 -1 0 0 1 0 -1 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.207093364171 0.854378619496 7 11 0 2 0132 0132 0132 0213 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 -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 1.353608854682 0.642545195429 11 1 10 6 0321 0132 0132 0321 1 1 0 1 0 1 0 -1 0 0 -1 1 1 -2 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 -1 -10 0 0 -11 11 0 -1 0 1 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.115418642987 0.840948480257 9 5 1 8 1023 0321 0132 1023 1 1 0 1 0 1 0 -1 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 10 0 -10 0 0 0 0 0 -1 0 1 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.299013697490 1.394407905381 4 9 10 1 0132 1023 1302 0132 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 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524253170282 0.435182691258 2 11 3 6 0132 0321 1302 1023 1 1 0 1 0 0 0 0 0 0 -1 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 0 0 -10 10 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555814359383 1.043721275697 7 6 11 2 1023 1023 0321 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.016036279611 1.228916751634 7 3 3 5 2031 0132 0321 0132 1 1 1 1 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 -1 0 1 -11 0 0 11 0 10 0 -10 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.207093364171 0.854378619496 5 4 9 8 0321 0132 0321 0321 1 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 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 0.482134420756 0.783204885734 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_0110_6'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0110_6'], 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : d['c_0101_0'], 'c_1010_11' : d['c_0110_6'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_11'], 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_11'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0101_0'], 'c_1100_10' : d['c_1001_3'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0110_6'], 'c_1010_9' : d['c_0110_6'], 'c_1010_8' : d['c_0110_6'], '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' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_11'], '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_11'], 'c_0011_6' : d['c_0011_11'], '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' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : negation(d['c_0011_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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0110_6, c_1001_0, c_1001_11, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 187408822111022/170032929003*c_1001_3^8 - 13782647349713/16193612286*c_1001_3^7 - 482319067720685/170032929003*c_1001_3^6 - 6419516096423/717438519*c_1001_3^5 - 2687417101863727/170032929003*c_1001_3^4 - 5043601868186221/340065858006*c_1001_3^3 - 2471239365536260/170032929003*c_1001_3^2 - 3298369737786713/340065858006*c_1001_3 - 156052910943991/340065858006, c_0011_0 - 1, c_0011_10 - 655638/3795971*c_1001_3^8 + 4560157/7591942*c_1001_3^7 - 1418975/7591942*c_1001_3^6 + 4208317/7591942*c_1001_3^5 - 9231997/7591942*c_1001_3^4 - 5890122/3795971*c_1001_3^3 - 3336867/3795971*c_1001_3^2 - 12670507/7591942*c_1001_3 - 1109047/3795971, c_0011_11 - 690096/3795971*c_1001_3^8 + 1367694/3795971*c_1001_3^7 + 4885221/7591942*c_1001_3^6 + 2200987/7591942*c_1001_3^5 + 909249/7591942*c_1001_3^4 - 19938685/7591942*c_1001_3^3 - 6850429/3795971*c_1001_3^2 - 1457102/3795971*c_1001_3 - 7192663/7591942, c_0101_0 - 1, c_0101_1 - 385600/3795971*c_1001_3^8 + 964880/3795971*c_1001_3^7 - 348720/3795971*c_1001_3^6 + 3760754/3795971*c_1001_3^5 + 628687/3795971*c_1001_3^4 - 2896042/3795971*c_1001_3^3 - 4777572/3795971*c_1001_3^2 - 12241076/3795971*c_1001_3 - 600804/3795971, c_0101_10 - 998092/3795971*c_1001_3^8 + 2346299/3795971*c_1001_3^7 - 1020867/7591942*c_1001_3^6 + 13499013/7591942*c_1001_3^5 + 8119195/7591942*c_1001_3^4 + 10535679/7591942*c_1001_3^3 + 9796629/3795971*c_1001_3^2 - 388359/3795971*c_1001_3 + 2138893/7591942, c_0101_11 + 996580/3795971*c_1001_3^8 - 1611673/3795971*c_1001_3^7 - 4671099/7591942*c_1001_3^6 - 10206875/7591942*c_1001_3^5 - 11049133/7591942*c_1001_3^4 - 3710207/7591942*c_1001_3^3 - 4290886/3795971*c_1001_3^2 - 2472439/3795971*c_1001_3 - 499839/7591942, c_0101_2 - 322412/3795971*c_1001_3^8 + 1033579/3795971*c_1001_3^7 + 138241/7591942*c_1001_3^6 + 3381187/7591942*c_1001_3^5 - 8855289/7591942*c_1001_3^4 - 10394665/7591942*c_1001_3^3 - 6396847/3795971*c_1001_3^2 - 1663963/3795971*c_1001_3 + 1560493/7591942, c_0110_6 + 2904658/3795971*c_1001_3^8 - 5041895/7591942*c_1001_3^7 - 14390849/7591942*c_1001_3^6 - 47528749/7591942*c_1001_3^5 - 76396715/7591942*c_1001_3^4 - 33441945/3795971*c_1001_3^3 - 31685744/3795971*c_1001_3^2 - 33278497/7591942*c_1001_3 - 2932228/3795971, c_1001_0 + 23894/3795971*c_1001_3^8 + 1083791/7591942*c_1001_3^7 - 471395/3795971*c_1001_3^6 - 1544735/3795971*c_1001_3^5 - 5032805/3795971*c_1001_3^4 - 19912283/7591942*c_1001_3^3 - 7075462/3795971*c_1001_3^2 - 15467631/7591942*c_1001_3 - 5526095/7591942, c_1001_11 - 664866/3795971*c_1001_3^8 + 2199599/7591942*c_1001_3^7 + 536349/7591942*c_1001_3^6 + 12671883/7591942*c_1001_3^5 + 8495903/7591942*c_1001_3^4 + 5960629/3795971*c_1001_3^3 + 6736649/3795971*c_1001_3^2 + 973921/7591942*c_1001_3 + 2958740/3795971, c_1001_3^9 - 3/4*c_1001_3^8 - 5/2*c_1001_3^7 - 33/4*c_1001_3^6 - 59/4*c_1001_3^5 - 29/2*c_1001_3^4 - 59/4*c_1001_3^3 - 41/4*c_1001_3^2 - 7/4*c_1001_3 - 3/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB