Magma V2.19-8 Sun Sep 15 2013 02:55:02 on localhost [Seed = 2797710658] Type ? for help. Type -D to quit. Loading file "11_371__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_371 geometric_solution 15.50948927 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 17 1 2 3 2 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.919130091384 0.580477528453 0 4 6 5 0132 0132 0132 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 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 0.387209004454 0.410683077663 0 0 8 7 3012 0132 0132 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 1 -1 0 -1 0 0 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 0.235433178830 1.689919923271 7 5 9 0 0321 2310 0132 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 0 0 0 0 1 -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 0.294458402694 0.567207647659 6 1 10 11 0321 0132 0132 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 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 0.708629492140 0.860502170593 7 12 1 3 1302 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.470527824255 0.703225982492 4 13 7 1 0321 0132 1230 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 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 0.275680565020 1.059133029085 3 5 2 6 0321 2031 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.190825135472 0.203094043923 12 12 13 2 2310 3012 2031 0132 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 -1 1 0 0 0 0 7 -8 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.027226769618 1.396331111326 14 11 14 3 0132 0321 3120 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 0 0 0 0 1 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423647592270 0.589677597829 13 15 14 4 0213 0132 3012 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 0 0 1 0 -1 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 0.026885008116 1.182245133650 16 13 4 9 0132 0213 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.287917137930 0.512935976851 8 5 8 15 1230 0132 3201 0132 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 8 0 -7 -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 0.986041003485 0.715890331104 10 6 11 8 0213 0132 0213 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.044914461180 0.777271286125 9 10 9 16 0132 1230 3120 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.423647592270 0.589677597829 16 10 12 16 1023 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.550406797597 0.903511340701 11 15 15 14 0132 1023 1230 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0.550406797597 0.903511340701 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_1001_15'], 'c_1001_14' : d['c_1001_14'], 'c_1001_16' : d['c_0011_8'], 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : negation(d['c_0011_14']), 'c_1001_13' : d['c_1001_1'], 'c_1001_12' : negation(d['c_0101_8']), 'c_1001_5' : d['c_1001_15'], 'c_1001_4' : d['c_1001_15'], 'c_1001_7' : negation(d['c_0110_5']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : d['c_0101_8'], 'c_1001_2' : negation(d['c_0101_12']), 'c_1001_9' : negation(d['c_1001_14']), 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_13' : d['c_1001_6'], 'c_1010_12' : d['c_1001_15'], 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : d['c_1001_15'], 'c_1010_16' : d['c_0101_9'], 'c_1010_15' : negation(d['c_0011_14']), 'c_1010_14' : d['c_0011_13'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_3_15' : d['1'], 's_3_14' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_13'], 'c_0101_10' : d['c_0011_13'], 'c_0101_16' : d['c_0011_14'], 'c_0101_15' : d['c_0011_8'], 'c_0101_14' : d['c_0101_14'], '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_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : d['1'], 's_0_8' : d['1'], 's_2_15' : 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_0011_15' : negation(d['c_0011_10']), 'c_0011_14' : d['c_0011_14'], 'c_0011_16' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : negation(d['c_1001_6']), 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_1001_14']), 'c_1100_7' : negation(d['c_1001_6']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0101_14']), 'c_1100_3' : negation(d['c_0101_14']), 'c_1100_2' : negation(d['c_1001_6']), 'c_1100_14' : negation(d['c_0101_9']), 'c_1100_15' : negation(d['c_0011_8']), 's_3_11' : d['1'], 'c_1100_16' : d['c_0101_9'], 'c_1100_11' : negation(d['c_1001_14']), 'c_1100_10' : negation(d['c_1001_14']), 'c_1100_13' : d['c_0101_8'], 's_3_10' : d['1'], 'c_1100_9' : negation(d['c_0101_14']), 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0011_12']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_8']), 's_0_13' : d['1'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : d['c_1001_15'], 'c_1010_0' : negation(d['c_0101_12']), 's_0_14' : d['1'], 'c_1010_9' : d['c_0101_8'], 's_0_15' : d['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'], 'c_1100_12' : negation(d['c_0011_8']), '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' : negation(d['c_0011_14']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_13']), '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_0011_14'], 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_13' : d['c_0011_12'], 'c_0110_12' : d['c_0011_8'], 'c_0110_15' : d['c_0101_9'], 'c_0110_14' : d['c_0101_9'], 'c_0110_16' : d['c_0011_13'], 'c_1010_4' : d['c_1001_1'], 'c_0101_12' : d['c_0101_12'], 'c_0011_7' : d['c_0011_7'], 's_2_14' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : negation(d['c_0101_12']), 'c_0101_7' : negation(d['c_0101_14']), 'c_0101_6' : d['c_0011_12'], 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : negation(d['c_0011_12']), 'c_0101_3' : d['c_0101_14'], 'c_0101_2' : negation(d['c_0101_12']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : negation(d['c_0011_7']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_14'], 'c_0110_8' : negation(d['c_0101_12']), 'c_0110_1' : negation(d['c_0011_7']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0011_7']), 'c_0110_2' : negation(d['c_0101_14']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_13'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_14, c_0011_3, c_0011_7, c_0011_8, c_0101_12, c_0101_14, c_0101_8, c_0101_9, c_0110_5, c_1001_1, c_1001_14, c_1001_15, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1890744589/140915200*c_1001_6^11 - 1122968009/70457600*c_1001_6^10 - 919934613/28183040*c_1001_6^9 - 4222998043/140915200*c_1001_6^8 - 8836526257/140915200*c_1001_6^7 - 8949292733/140915200*c_1001_6^6 - 505517121/8807200*c_1001_6^5 - 65085163/1395200*c_1001_6^4 - 6507965677/140915200*c_1001_6^3 - 225717591/5636608*c_1001_6^2 - 452463271/70457600*c_1001_6 - 3469169451/140915200, c_0011_0 - 1, c_0011_10 - c_1001_6^10 - c_1001_6^9 - 2*c_1001_6^8 - c_1001_6^7 - 3*c_1001_6^6 - 2*c_1001_6^5 - 2*c_1001_6^4 - c_1001_6^2 + 1, c_0011_12 + c_1001_6^8 + c_1001_6^7 + 2*c_1001_6^6 + c_1001_6^5 + 3*c_1001_6^4 + 2*c_1001_6^3 + 2*c_1001_6^2 + 1, c_0011_13 - c_1001_6^6 - c_1001_6^5 - 2*c_1001_6^4 - c_1001_6^3 - 2*c_1001_6^2 - c_1001_6 - 1, c_0011_14 + c_1001_6^10 + c_1001_6^9 + 2*c_1001_6^8 + c_1001_6^7 + 3*c_1001_6^6 + 2*c_1001_6^5 + 2*c_1001_6^4 + 2*c_1001_6^2 + c_1001_6, c_0011_3 - c_1001_6^11 - 2*c_1001_6^9 + 2*c_1001_6^8 - 3*c_1001_6^7 + 4*c_1001_6^6 - 2*c_1001_6^5 + 6*c_1001_6^4 - c_1001_6^3 + 4*c_1001_6^2 - c_1001_6 + 1, c_0011_7 - c_1001_6^10 - 2*c_1001_6^8 + c_1001_6^7 - 4*c_1001_6^6 + c_1001_6^5 - 3*c_1001_6^4 + 2*c_1001_6^3 - 3*c_1001_6^2 + c_1001_6 - 1, c_0011_8 + c_1001_6^11 + c_1001_6^10 + 3*c_1001_6^9 + 2*c_1001_6^8 + 6*c_1001_6^7 + 4*c_1001_6^6 + 7*c_1001_6^5 + 3*c_1001_6^4 + 6*c_1001_6^3 + 2*c_1001_6^2 + 2*c_1001_6, c_0101_12 - c_1001_6^9 - c_1001_6^8 - 2*c_1001_6^7 - c_1001_6^6 - 3*c_1001_6^5 - 2*c_1001_6^4 - 2*c_1001_6^3 - c_1001_6, c_0101_14 + c_1001_6^9 + c_1001_6^8 + 3*c_1001_6^7 + 2*c_1001_6^6 + 5*c_1001_6^5 + 3*c_1001_6^4 + 4*c_1001_6^3 + c_1001_6^2 + 2*c_1001_6, c_0101_8 - c_1001_6^10 - c_1001_6^9 - 4*c_1001_6^8 - 3*c_1001_6^7 - 8*c_1001_6^6 - 5*c_1001_6^5 - 9*c_1001_6^4 - 4*c_1001_6^3 - 6*c_1001_6^2 - c_1001_6 - 2, c_0101_9 - c_1001_6^11 - c_1001_6^10 - 3*c_1001_6^9 - 2*c_1001_6^8 - 6*c_1001_6^7 - 4*c_1001_6^6 - 6*c_1001_6^5 - 2*c_1001_6^4 - 4*c_1001_6^3 - c_1001_6^2 - c_1001_6, c_0110_5 - c_1001_6^11 - c_1001_6^10 - 2*c_1001_6^9 - c_1001_6^8 - 3*c_1001_6^7 - 2*c_1001_6^6 - 2*c_1001_6^5 - c_1001_6^3 - c_1001_6^2 - 1, c_1001_1 - c_1001_6^6 - c_1001_6^5 - 2*c_1001_6^4 - c_1001_6^3 - 2*c_1001_6^2 - c_1001_6, c_1001_14 - c_1001_6^8 - c_1001_6^7 - 2*c_1001_6^6 - c_1001_6^5 - 2*c_1001_6^4 - c_1001_6^3 + c_1001_6, c_1001_15 + c_1001_6^11 + c_1001_6^10 + 2*c_1001_6^9 + 2*c_1001_6^7 + c_1001_6^5 - 3*c_1001_6^4 - c_1001_6^3 - 2*c_1001_6^2, c_1001_6^12 + c_1001_6^11 + 3*c_1001_6^10 + 2*c_1001_6^9 + 6*c_1001_6^8 + 4*c_1001_6^7 + 7*c_1001_6^6 + 3*c_1001_6^5 + 6*c_1001_6^4 + 2*c_1001_6^3 + 3*c_1001_6^2 + c_1001_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1354.910 Total time: 1355.109 seconds, Total memory usage: 2976.47MB