Magma V2.19-8 Tue Aug 20 2013 23:55:29 on localhost [Seed = 1090988288] Type ? for help. Type -D to quit. Loading file "L14a24920__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a24920 geometric_solution 9.95995086 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 2 0132 0132 0132 1230 2 1 0 1 0 0 0 0 -1 0 0 1 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 -1 0 1 4 0 -1 -3 -1 -1 0 2 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502878063352 0.850652268131 0 4 4 5 0132 0132 1302 0132 2 1 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 0 0 0 0 0 0 0 0 -4 0 4 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 0.485017598650 0.871127574816 0 0 4 5 3012 0132 0132 0213 2 2 1 0 0 0 1 -1 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 1 -5 4 -1 0 0 1 3 -3 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.512106426129 0.876293039588 6 4 7 0 0132 1230 0132 0132 2 1 1 2 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 0 -1 1 0 -3 0 3 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476378819395 0.845024408909 1 1 3 2 2031 0132 3012 0132 2 2 0 1 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 0 -5 5 0 0 0 0 1 0 0 -1 -4 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.512106426129 0.876293039588 6 8 1 2 2103 0132 0132 0213 2 1 2 1 0 -1 0 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 0 0 0 0 4 0 -4 0 0 0 0 5 -4 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529849351806 0.855075485686 3 8 5 7 0132 1302 2103 0132 2 1 2 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 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.511420119725 0.953347037266 8 9 6 3 0213 0132 0132 0132 2 1 2 2 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 -1 0 0 1 -5 0 0 5 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.023780955380 0.608541332517 7 5 9 6 0213 0132 3120 2031 2 2 1 2 0 1 -1 0 -1 0 0 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 -4 4 0 5 0 0 -5 1 -1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935881048220 1.640768073944 10 7 8 10 0132 0132 3120 1023 2 2 2 2 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 4 0 -4 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.268096908246 0.928884933592 9 11 11 9 0132 0132 1023 1023 2 2 2 2 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 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.603305446843 0.346109993604 11 10 10 11 3012 0132 1023 1230 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.643469282329 0.099963768532 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : negation(d['c_1001_3']), 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_0_11' : 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' : negation(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' : negation(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_1100_9' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0101_9']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_1001_3']), 'c_1100_7' : d['c_0110_2'], 'c_1100_6' : d['c_0110_2'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : negation(d['c_1001_3']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : negation(d['c_0011_3']), '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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_9'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], '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_10'], 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0110_2']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : negation(d['c_0011_5']), 'c_0110_6' : negation(d['c_0011_5'])})} 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_3, c_0011_5, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_4, c_0101_9, c_0110_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 2465027162249668969949468557312/2333531115029485449*c_1001_3^8 - 204910008893856419481091309568/777843705009828483*c_1001_3^7 - 31198048561246082459263565824/29538368544677031*c_1001_3^6 - 705618645927643538680891572224/777843705009828483*c_1001_3^5 - 1279346949815983357819069923328/2333531115029485449*c_1001_3^4 - 1267829420908193348881491165184/2333531115029485449*c_1001_3^3 - 401225636033060048080576970752/2333531115029485449*c_1001_3^2 - 244388284711848369130441736192/2333531115029485449*c_1001_3 - 15081910163626876848656859136/2333531115029485449, c_0011_0 - 1, c_0011_10 + 226132602142720/9350544015409*c_1001_3^8 + 40562357833728/9350544015409*c_1001_3^7 + 211860695906304/9350544015409*c_1001_3^6 + 169954227840256/9350544015409*c_1001_3^5 + 89644943173248/9350544015409*c_1001_3^4 + 110824436975968/9350544015409*c_1001_3^3 + 25156021352144/9350544015409*c_1001_3^2 + 22361935524017/9350544015409*c_1001_3 - 408670149376/9350544015409, c_0011_3 + 232676399874048/9350544015409*c_1001_3^8 + 75094409666560/9350544015409*c_1001_3^7 + 240855821993984/9350544015409*c_1001_3^6 + 219537127392256/9350544015409*c_1001_3^5 + 140858172884608/9350544015409*c_1001_3^4 + 134850793599424/9350544015409*c_1001_3^3 + 52856403595632/9350544015409*c_1001_3^2 + 35812487923992/9350544015409*c_1001_3 + 18278732960481/18701088030818, c_0011_5 - 465352799748096/9350544015409*c_1001_3^8 - 150188819333120/9350544015409*c_1001_3^7 - 481711643987968/9350544015409*c_1001_3^6 - 439074254784512/9350544015409*c_1001_3^5 - 281716345769216/9350544015409*c_1001_3^4 - 269701587198848/9350544015409*c_1001_3^3 - 105712807191264/9350544015409*c_1001_3^2 - 52923887817166/9350544015409*c_1001_3 - 8928188945072/9350544015409, c_0101_0 - 1, c_0101_10 + 471990614884352/9350544015409*c_1001_3^8 + 119933053763584/9350544015409*c_1001_3^7 + 415273028640768/9350544015409*c_1001_3^6 + 383995376906240/9350544015409*c_1001_3^5 + 196964403936192/9350544015409*c_1001_3^4 + 206868488975088/9350544015409*c_1001_3^3 + 56441170584056/9350544015409*c_1001_3^2 + 34099072449583/9350544015409*c_1001_3 + 707626695576/9350544015409, c_0101_11 - 200430509359104/9350544015409*c_1001_3^8 - 42929951277056/9350544015409*c_1001_3^7 - 242080452246528/9350544015409*c_1001_3^6 - 174997573314304/9350544015409*c_1001_3^5 - 123991987759616/9350544015409*c_1001_3^4 - 121801693695056/9350544015409*c_1001_3^3 - 36490469436244/9350544015409*c_1001_3^2 - 25532861799719/9350544015409*c_1001_3 - 700496041190/9350544015409, c_0101_2 - 232676399874048/9350544015409*c_1001_3^8 - 75094409666560/9350544015409*c_1001_3^7 - 240855821993984/9350544015409*c_1001_3^6 - 219537127392256/9350544015409*c_1001_3^5 - 140858172884608/9350544015409*c_1001_3^4 - 134850793599424/9350544015409*c_1001_3^3 - 52856403595632/9350544015409*c_1001_3^2 - 35812487923992/9350544015409*c_1001_3 + 422355070337/18701088030818, c_0101_4 - 1, c_0101_9 + 329950322163712/9350544015409*c_1001_3^8 + 84753442373632/9350544015409*c_1001_3^7 + 325064873984000/9350544015409*c_1001_3^6 + 279270158684160/9350544015409*c_1001_3^5 + 160882362080256/9350544015409*c_1001_3^4 + 150420348894464/9350544015409*c_1001_3^3 + 41347416870340/9350544015409*c_1001_3^2 + 19363754763289/9350544015409*c_1001_3 - 415254350126/9350544015409, c_0110_2 - 232676399874048/9350544015409*c_1001_3^8 - 75094409666560/9350544015409*c_1001_3^7 - 240855821993984/9350544015409*c_1001_3^6 - 219537127392256/9350544015409*c_1001_3^5 - 140858172884608/9350544015409*c_1001_3^4 - 134850793599424/9350544015409*c_1001_3^3 - 52856403595632/9350544015409*c_1001_3^2 - 35812487923992/9350544015409*c_1001_3 - 18278732960481/18701088030818, c_1001_3^9 + 1/4*c_1001_3^8 + c_1001_3^7 + 55/64*c_1001_3^6 + 133/256*c_1001_3^5 + 527/1024*c_1001_3^4 + 167/1024*c_1001_3^3 + 813/8192*c_1001_3^2 + 405/65536*c_1001_3 + 1/262144 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB