Magma V2.19-8 Tue Aug 20 2013 17:59:07 on localhost [Seed = 374842010] Type ? for help. Type -D to quit. Loading file "10^2_21__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_21 geometric_solution 13.02798669 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 1 3 0132 0132 3120 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 1 -1 -5 0 4 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380759168320 0.676085737500 0 4 0 5 0132 0132 3120 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 1 -1 5 0 -4 -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 0.380759168320 0.676085737500 6 0 8 7 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 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602992344947 1.481472701657 4 6 0 9 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 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 0.475278286983 0.548287538119 3 1 5 7 0132 0132 3012 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 1.077502837357 1.692656986965 7 4 1 9 0132 1230 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 0 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 0.552435190532 0.621735975376 2 3 10 11 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 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 0.309048581415 0.642791495150 5 4 2 9 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.114871331473 0.696893229560 12 13 9 2 0132 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.309048581415 0.642791495150 5 8 3 7 3012 0213 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 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 0 0 0 0 1.501202442794 0.630884773837 12 13 12 6 3120 0321 2310 0132 0 0 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 -1 1 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 0.630294950821 1.002400901589 12 13 6 13 2103 0213 0132 2310 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 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 0.630294950821 1.002400901589 8 10 11 10 0132 3201 2103 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 1 0 0 -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 0.630294950821 1.002400901589 11 8 11 10 3201 0132 0213 0321 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 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 0.630294950821 1.002400901589 ==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_0011_10'], 'c_1001_13' : d['c_1001_11'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : d['c_1001_6'], 'c_1001_8' : d['c_1001_6'], 'c_1010_13' : d['c_1001_6'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_1001_6'], 's_3_11' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), '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_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : 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' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0011_5'], 'c_1100_7' : d['c_1010_9'], 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_1010_9'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0011_12'], 'c_1100_13' : d['c_0011_10'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_0101_4'], 's_0_13' : negation(d['1']), 'c_1010_3' : d['c_1001_6'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : d['c_1001_11'], 'c_1100_8' : d['c_1010_9'], '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_0011_11'], '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_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : d['c_0011_11'], 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0011_9'], 'c_0110_13' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0011_9'], 'c_1010_4' : negation(d['c_1001_0']), 'c_0011_7' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_4'], 'c_0101_8' : d['c_0011_9'], 's_1_13' : negation(d['1']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_0']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0011_9'], 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_11'], 's_2_9' : d['1']})} 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_11, c_0011_12, c_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_4, c_1001_0, c_1001_11, c_1001_6, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 72793177516583451/34553418401038*c_1001_6^7 + 159527841435287082/17276709200519*c_1001_6^6 - 429016713444957165/17276709200519*c_1001_6^5 + 766143439073134568/17276709200519*c_1001_6^4 - 965707728975379124/17276709200519*c_1001_6^3 + 811762581209432413/17276709200519*c_1001_6^2 - 417842379671327193/17276709200519*c_1001_6 + 100479687406092535/17276709200519, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 1, c_0011_12 + 10080023840/1353019751*c_1001_6^7 - 49586711824/1353019751*c_1001_6^6 + 136776897368/1353019751*c_1001_6^5 - 254954715652/1353019751*c_1001_6^4 + 330503868540/1353019751*c_1001_6^3 - 289722465950/1353019751*c_1001_6^2 + 151417491952/1353019751*c_1001_6 - 36959279184/1353019751, c_0011_5 - 12361548749/1353019751*c_1001_6^7 + 58835594643/1353019751*c_1001_6^6 - 159723549403/1353019751*c_1001_6^5 + 293283253812/1353019751*c_1001_6^4 - 374537380375/1353019751*c_1001_6^3 + 322326018097/1353019751*c_1001_6^2 - 166509758609/1353019751*c_1001_6 + 40356918314/1353019751, c_0011_9 - 10080023840/1353019751*c_1001_6^7 + 49586711824/1353019751*c_1001_6^6 - 136776897368/1353019751*c_1001_6^5 + 254954715652/1353019751*c_1001_6^4 - 330503868540/1353019751*c_1001_6^3 + 289722465950/1353019751*c_1001_6^2 - 152770511703/1353019751*c_1001_6 + 36959279184/1353019751, c_0101_0 + 12454928791/1353019751*c_1001_6^7 - 62033477748/1353019751*c_1001_6^6 + 171908752721/1353019751*c_1001_6^5 - 321600208571/1353019751*c_1001_6^4 + 419227130319/1353019751*c_1001_6^3 - 368336392738/1353019751*c_1001_6^2 + 195146614256/1353019751*c_1001_6 - 47546111571/1353019751, c_0101_1 + 7031154698/1353019751*c_1001_6^7 - 34735249946/1353019751*c_1001_6^6 + 97314398023/1353019751*c_1001_6^5 - 183168698584/1353019751*c_1001_6^4 + 240846938131/1353019751*c_1001_6^3 - 214507675525/1353019751*c_1001_6^2 + 116032902307/1353019751*c_1001_6 - 29346082534/1353019751, c_0101_11 - c_1001_6, c_0101_4 + 2350433240/1353019751*c_1001_6^7 - 9537541454/1353019751*c_1001_6^6 + 23111976847/1353019751*c_1001_6^5 - 38448518797/1353019751*c_1001_6^4 + 42703210341/1353019751*c_1001_6^3 - 30202502992/1353019751*c_1001_6^2 + 11007375844/1353019751*c_1001_6 - 1497106991/1353019751, c_1001_0 - 12919085281/1353019751*c_1001_6^7 + 63023092872/1353019751*c_1001_6^6 - 172873634722/1353019751*c_1001_6^5 + 320117582082/1353019751*c_1001_6^4 - 411481025063/1353019751*c_1001_6^3 + 355152950276/1353019751*c_1001_6^2 - 182704517096/1353019751*c_1001_6 + 41738587981/1353019751, c_1001_11 - 10080023840/1353019751*c_1001_6^7 + 49586711824/1353019751*c_1001_6^6 - 136776897368/1353019751*c_1001_6^5 + 254954715652/1353019751*c_1001_6^4 - 330503868540/1353019751*c_1001_6^3 + 289722465950/1353019751*c_1001_6^2 - 152770511703/1353019751*c_1001_6 + 36959279184/1353019751, c_1001_6^8 - 232/41*c_1001_6^7 + 706/41*c_1001_6^6 - 1450/41*c_1001_6^5 + 2115/41*c_1001_6^4 - 2176/41*c_1001_6^3 + 1495/41*c_1001_6^2 - 613/41*c_1001_6 + 113/41, c_1010_9 - 1 ], Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_4, c_1001_0, c_1001_11, c_1001_6, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 2585837691835/757732681728*c_1001_6^9 - 2964386000089/252577560576*c_1001_6^8 - 3734510523989/126288780288*c_1001_6^7 - 3996497404447/94716585216*c_1001_6^6 - 12066063323249/252577560576*c_1001_6^5 - 31726020748361/757732681728*c_1001_6^4 - 2184444005477/84192520192*c_1001_6^3 - 5370786277715/378866340864*c_1001_6^2 - 1555312728367/189433170432*c_1001_6 - 421661196779/757732681728, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 1, c_0011_12 - 65035/1019247*c_1001_6^9 + 172176/339749*c_1001_6^8 + 579086/339749*c_1001_6^7 + 5465710/1019247*c_1001_6^6 + 2741949/339749*c_1001_6^5 + 11340772/1019247*c_1001_6^4 + 3585549/339749*c_1001_6^3 + 6864137/1019247*c_1001_6^2 + 5241701/1019247*c_1001_6 + 1335688/1019247, c_0011_5 - 18385/4076988*c_1001_6^9 + 1377291/1358996*c_1001_6^8 + 2313951/679498*c_1001_6^7 + 9277912/1019247*c_1001_6^6 + 18367637/1358996*c_1001_6^5 + 70607995/4076988*c_1001_6^4 + 21476183/1358996*c_1001_6^3 + 11329334/1019247*c_1001_6^2 + 12431443/2038494*c_1001_6 + 10997209/4076988, c_0011_9 + 65035/1019247*c_1001_6^9 - 172176/339749*c_1001_6^8 - 579086/339749*c_1001_6^7 - 5465710/1019247*c_1001_6^6 - 2741949/339749*c_1001_6^5 - 11340772/1019247*c_1001_6^4 - 3585549/339749*c_1001_6^3 - 6864137/1019247*c_1001_6^2 - 4222454/1019247*c_1001_6 - 1335688/1019247, c_0101_0 + 603125/4076988*c_1001_6^9 + 1184965/1358996*c_1001_6^8 + 2027529/679498*c_1001_6^7 + 6585703/1019247*c_1001_6^6 + 14089495/1358996*c_1001_6^5 + 48735217/4076988*c_1001_6^4 + 15465965/1358996*c_1001_6^3 + 8058998/1019247*c_1001_6^2 + 8774305/2038494*c_1001_6 + 8229211/4076988, c_0101_1 + 518875/679498*c_1001_6^9 + 1739455/679498*c_1001_6^8 + 2339733/339749*c_1001_6^7 + 3392714/339749*c_1001_6^6 + 8551093/679498*c_1001_6^5 + 7237269/679498*c_1001_6^4 + 4981967/679498*c_1001_6^3 + 1124738/339749*c_1001_6^2 + 452981/339749*c_1001_6 - 223269/679498, c_0101_11 - c_1001_6, c_0101_4 + 105275/1358996*c_1001_6^9 - 545275/1358996*c_1001_6^8 - 565113/679498*c_1001_6^7 - 903639/339749*c_1001_6^6 - 2297557/1358996*c_1001_6^5 - 3528349/1358996*c_1001_6^4 - 1537903/1358996*c_1001_6^3 - 361369/339749*c_1001_6^2 - 662139/679498*c_1001_6 - 853527/1358996, c_1001_0 + 1070425/1019247*c_1001_6^9 + 1163465/339749*c_1001_6^8 + 3039099/339749*c_1001_6^7 + 13248692/1019247*c_1001_6^6 + 5385625/339749*c_1001_6^5 + 14467163/1019247*c_1001_6^4 + 2785016/339749*c_1001_6^3 + 4443388/1019247*c_1001_6^2 + 1108186/1019247*c_1001_6 - 1602256/1019247, c_1001_11 + 65035/1019247*c_1001_6^9 - 172176/339749*c_1001_6^8 - 579086/339749*c_1001_6^7 - 5465710/1019247*c_1001_6^6 - 2741949/339749*c_1001_6^5 - 11340772/1019247*c_1001_6^4 - 3585549/339749*c_1001_6^3 - 6864137/1019247*c_1001_6^2 - 4222454/1019247*c_1001_6 - 1335688/1019247, c_1001_6^10 + 16/5*c_1001_6^9 + 9*c_1001_6^8 + 14*c_1001_6^7 + 101/5*c_1001_6^6 + 106/5*c_1001_6^5 + 92/5*c_1001_6^4 + 71/5*c_1001_6^3 + 42/5*c_1001_6^2 + 17/5*c_1001_6 + 11/5, c_1010_9 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.520 seconds, Total memory usage: 32.09MB