Magma V2.19-8 Tue Aug 20 2013 18:22:17 on localhost [Seed = 2884244965] Type ? for help. Type -D to quit. Loading file "11_430__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_430 geometric_solution 12.38480609 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 14 1 2 3 4 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 -1 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 0 0 0 0.943387571141 1.448990489698 0 5 7 6 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 1 -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 0 0 0 0.943387571141 1.448990489698 7 0 8 5 1230 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423480665494 0.330183027854 7 5 9 0 0132 3012 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 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 0.306129078904 0.748043696420 10 11 0 6 0132 0132 0132 3201 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 0 0 0 0 0 0 7 0 -1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.028464464992 0.606269798919 3 1 11 2 1230 0132 3120 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423480665494 0.330183027854 9 4 1 12 2310 2310 0132 0132 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 1 -1 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.770371863074 1.086434916188 3 2 9 1 0132 3012 2310 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 -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 0.306129078904 0.748043696420 12 11 13 2 0321 0321 0132 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 6 0 -7 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 0.259006694995 1.588868607142 10 7 6 3 3120 3201 3201 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 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 -0.051741988300 0.883699194262 4 12 13 9 0132 1302 2103 3120 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 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449823336095 1.173253486234 13 4 5 8 1230 0132 3120 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 -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 0.241085191869 0.516944877127 8 13 6 10 0321 3201 0132 2031 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 -1 0 1 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.726968639569 0.300159462610 10 11 12 8 2103 3012 2310 0132 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 0 0 0 0 0 0 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534171405586 0.490541483737 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_13'], 'c_1001_13' : negation(d['c_0011_10']), 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : negation(d['c_1001_11']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : negation(d['c_1001_11']), 'c_1001_1' : d['c_0011_12'], 'c_1001_0' : negation(d['c_0101_11']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_0']), 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_13' : negation(d['c_0101_11']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0011_9']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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' : 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_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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : d['c_0011_12'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : d['c_0101_12'], 'c_1100_13' : d['c_0011_12'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : d['c_0011_12'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : negation(d['c_0101_11']), 'c_1010_2' : negation(d['c_0101_11']), 'c_1010_1' : negation(d['c_1001_11']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_0']), 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 'c_0101_13' : d['c_0101_10'], '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' : d['c_0011_9'], '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_13']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_12'], '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_13'], 'c_0110_10' : d['c_0101_1'], 'c_0110_13' : negation(d['c_0101_12']), 'c_0110_12' : d['c_0011_13'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : negation(d['c_0101_12']), '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_1'], 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0011_12']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 2597172/661*c_1001_2^8 - 82046718/3305*c_1001_2^7 - 38376565/661*c_1001_2^6 - 190882746/3305*c_1001_2^5 - 53405819/3305*c_1001_2^4 + 13425392/3305*c_1001_2^3 - 25026423/3305*c_1001_2^2 - 29323901/3305*c_1001_2 - 7009944/3305, c_0011_0 - 1, c_0011_10 - 2265/661*c_1001_2^8 - 11492/661*c_1001_2^7 - 19168/661*c_1001_2^6 - 7415/661*c_1001_2^5 + 8259/661*c_1001_2^4 + 2537/661*c_1001_2^3 - 4922/661*c_1001_2^2 - 226/661*c_1001_2 + 682/661, c_0011_12 + 2775/661*c_1001_2^8 + 14780/661*c_1001_2^7 + 25073/661*c_1001_2^6 + 9124/661*c_1001_2^5 - 10749/661*c_1001_2^4 - 1795/661*c_1001_2^3 + 7326/661*c_1001_2^2 + 255/661*c_1001_2 - 945/661, c_0011_13 + 1315/661*c_1001_2^8 + 7117/661*c_1001_2^7 + 11966/661*c_1001_2^6 + 4089/661*c_1001_2^5 - 4865/661*c_1001_2^4 - 666/661*c_1001_2^3 + 2414/661*c_1001_2^2 - 165/661*c_1001_2 + 106/661, c_0011_3 + 1950/661*c_1001_2^8 + 9850/661*c_1001_2^7 + 14957/661*c_1001_2^6 + 1713/661*c_1001_2^5 - 9715/661*c_1001_2^4 + 1204/661*c_1001_2^3 + 5809/661*c_1001_2^2 - 1911/661*c_1001_2 - 539/661, c_0011_6 - 2205/661*c_1001_2^8 - 11494/661*c_1001_2^7 - 19562/661*c_1001_2^6 - 8847/661*c_1001_2^5 + 4350/661*c_1001_2^4 - 914/661*c_1001_2^3 - 4367/661*c_1001_2^2 + 244/661*c_1001_2 + 340/661, c_0011_9 - 2205/661*c_1001_2^8 - 11494/661*c_1001_2^7 - 19562/661*c_1001_2^6 - 8847/661*c_1001_2^5 + 4350/661*c_1001_2^4 - 914/661*c_1001_2^3 - 4367/661*c_1001_2^2 + 244/661*c_1001_2 + 340/661, c_0101_0 - 3375/661*c_1001_2^8 - 18065/661*c_1001_2^7 - 30387/661*c_1001_2^6 - 8685/661*c_1001_2^5 + 17450/661*c_1001_2^4 + 3255/661*c_1001_2^3 - 9571/661*c_1001_2^2 + 333/661*c_1001_2 + 1721/661, c_0101_1 + 3375/661*c_1001_2^8 + 18065/661*c_1001_2^7 + 30387/661*c_1001_2^6 + 8685/661*c_1001_2^5 - 17450/661*c_1001_2^4 - 3255/661*c_1001_2^3 + 9571/661*c_1001_2^2 - 333/661*c_1001_2 - 1721/661, c_0101_10 - 205/661*c_1001_2^8 - 544/661*c_1001_2^7 - 747/661*c_1001_2^6 - 2819/661*c_1001_2^5 - 4326/661*c_1001_2^4 - 52/661*c_1001_2^3 + 2235/661*c_1001_2^2 - 394/661*c_1001_2 - 484/661, c_0101_11 + 2775/661*c_1001_2^8 + 14780/661*c_1001_2^7 + 25073/661*c_1001_2^6 + 9124/661*c_1001_2^5 - 10749/661*c_1001_2^4 - 1795/661*c_1001_2^3 + 7326/661*c_1001_2^2 + 255/661*c_1001_2 - 945/661, c_0101_12 + 1950/661*c_1001_2^8 + 9850/661*c_1001_2^7 + 14957/661*c_1001_2^6 + 1713/661*c_1001_2^5 - 9715/661*c_1001_2^4 + 1204/661*c_1001_2^3 + 5809/661*c_1001_2^2 - 1250/661*c_1001_2 - 539/661, c_1001_11 - c_1001_2, c_1001_2^9 + 29/5*c_1001_2^8 + 58/5*c_1001_2^7 + 38/5*c_1001_2^6 - 12/5*c_1001_2^5 - 12/5*c_1001_2^4 + 12/5*c_1001_2^3 + 6/5*c_1001_2^2 - 2/5*c_1001_2 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 24.310 Total time: 24.530 seconds, Total memory usage: 182.69MB