Magma V2.19-8 Wed Aug 21 2013 00:02:02 on localhost [Seed = 4190081111] Type ? for help. Type -D to quit. Loading file "L14n58741__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n58741 geometric_solution 11.47213871 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 2 2 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 1 -1 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605018913093 0.835782013684 0 5 7 6 0132 0132 0132 0132 0 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 0 0 0 0 0 0 0 0 -1 0 1 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 0.040200460524 0.843832566224 3 0 9 8 1023 0132 0132 0132 2 2 1 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 -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 -0.232239179821 1.072165862714 5 2 10 0 0132 1023 0132 0132 2 2 1 0 0 0 0 0 1 0 -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 4 0 -3 -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 0.383880410090 0.536082931357 11 5 0 9 0132 1302 0132 3120 2 2 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 0 0 -4 1 3 -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 0.832008736862 0.894179575204 3 1 6 4 0132 0132 2103 2031 0 2 0 1 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 0 0 0 0 1 0 -1 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744322811222 1.400581121680 5 7 1 11 2103 2103 0132 2031 0 2 0 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 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 0.744322811222 1.400581121680 8 6 8 1 1023 2103 2103 0132 0 2 0 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 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 0.302045805215 0.801182957026 7 7 2 11 2103 1023 0132 1023 2 2 0 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 0 -1 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 0.618186944030 0.709617977102 4 10 10 2 3120 1023 0321 0132 2 2 0 2 0 0 0 0 0 0 0 0 1 0 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 0 0 1 0 0 -1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.192973882105 0.890891919908 9 11 9 3 1023 1230 0321 0132 2 2 0 2 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 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 0 0 0 0 0 0 0.558503480472 0.616542918450 4 6 10 8 0132 1302 3012 1023 2 2 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 1 0 0 -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 0.696908706562 0.934388734212 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0101_7'], 'c_1010_11' : d['c_0110_8'], 'c_1010_10' : d['c_0101_11'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : 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' : 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' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : negation(d['c_0110_8']), 'c_1100_6' : negation(d['c_0110_8']), 'c_1100_1' : negation(d['c_0110_8']), 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : d['c_1001_10'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : d['c_0101_10'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : d['c_0101_3'], 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : d['c_1001_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_1_4' : 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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_6'], '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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], '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_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_7, c_0110_8, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 28655/6832*c_1001_10^4 + 73839/6832*c_1001_10^3 + 63797/3416*c_1001_10^2 + 214723/6832*c_1001_10 + 12863/854, c_0011_0 - 1, c_0011_10 + 2607/5978*c_1001_10^4 + 5281/5978*c_1001_10^3 + 701/427*c_1001_10^2 + 2491/854*c_1001_10 + 3329/2989, c_0011_11 - 2519/5978*c_1001_10^4 - 9225/5978*c_1001_10^3 - 176/61*c_1001_10^2 - 4327/854*c_1001_10 - 14288/2989, c_0011_6 + 4301/5978*c_1001_10^4 + 13905/5978*c_1001_10^3 + 1810/427*c_1001_10^2 + 6249/854*c_1001_10 + 19639/2989, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 715/2989*c_1001_10^4 + 834/2989*c_1001_10^3 + 445/427*c_1001_10^2 + 668/427*c_1001_10 + 509/2989, c_0101_11 - 605/5978*c_1001_10^4 - 1067/5978*c_1001_10^3 - 46/61*c_1001_10^2 - 767/854*c_1001_10 - 2531/2989, c_0101_3 - 2607/5978*c_1001_10^4 - 5281/5978*c_1001_10^3 - 701/427*c_1001_10^2 - 2491/854*c_1001_10 - 3329/2989, c_0101_7 + 1177/5978*c_1001_10^4 + 3613/5978*c_1001_10^3 + 256/427*c_1001_10^2 + 165/122*c_1001_10 + 2820/2989, c_0110_8 - 891/2989*c_1001_10^4 - 2340/2989*c_1001_10^3 - 578/427*c_1001_10^2 - 961/427*c_1001_10 - 5351/2989, c_1001_10^5 + 35/11*c_1001_10^4 + 6*c_1001_10^3 + 119/11*c_1001_10^2 + 104/11*c_1001_10 + 8/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB