Magma V2.19-8 Tue Aug 20 2013 23:43:54 on localhost [Seed = 3120553126] Type ? for help. Type -D to quit. Loading file "L14n13206__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13206 geometric_solution 10.36486961 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 -2 2 0 0 0 0 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 3 -3 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 0.650223497358 1.019657943838 0 2 4 3 0132 3201 0132 0132 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -2 0 2 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 -2 0 2 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.045052087541 0.857353964074 5 6 1 0 0132 0132 2310 0132 0 0 0 1 0 -1 -1 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 1 2 -3 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 0.045052087541 0.857353964074 7 4 1 8 0132 0132 0132 0132 1 0 1 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 1 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 5 0 0 -5 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.884721509242 0.917300690882 9 3 7 1 0132 0132 0213 0132 1 0 0 1 0 0 0 0 0 0 0 0 1 1 0 -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 -1 -2 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.315238399975 0.495044932291 2 8 7 6 0132 0321 0132 1023 1 0 1 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 -5 0 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 -0.076597953528 1.023859228823 8 2 9 5 0321 0132 1023 1023 0 1 1 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 -1 1 0 5 0 0 -5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.195302106826 1.188321375178 3 4 10 5 0132 0213 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 -5 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.857905178159 0.734998523223 6 10 3 5 0321 0132 0132 0321 1 0 1 1 0 1 0 -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 -4 -1 5 0 0 0 0 1 -1 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536530947403 0.600978968564 4 10 6 10 0132 2031 1023 0132 1 0 1 0 0 1 0 -1 0 0 1 -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 0 4 0 0 -1 1 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385442236606 0.753227346348 9 8 9 7 1302 0132 0132 0132 1 0 1 1 0 -1 1 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 4 -4 0 1 0 -1 0 4 0 0 -4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385442236606 0.753227346348 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_4'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_1001_4'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_3']), '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_10' : 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_1100_9' : d['c_1100_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_1100_10'], 'c_1100_6' : negation(d['c_1100_10']), 'c_1100_1' : d['c_1001_5'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : negation(d['c_0011_0']), 'c_1100_10' : d['c_1100_10'], 'c_1010_7' : d['c_1001_5'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_1001_4'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : d['c_1001_5'], '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' : 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_3'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_10' : negation(d['c_0101_6']), 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : negation(d['c_0101_6']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0011_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_6']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_1001_4, c_1001_5, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 225789522508907503/6797902365351576*c_1100_10^12 - 388677766865809/10207060608636*c_1100_10^11 + 489073008615730331/6797902365351576*c_1100_10^10 + 277485196042837409/2265967455117192*c_1100_10^9 + 2360895524521866605/6797902365351576*c_1100_10^8 + 3438428724778184483/3398951182675788*c_1100_10^7 - 41226806351077024/849737795668947*c_1100_10^6 + 1929881851426550027/1699475591337894*c_1100_10^5 + 368167225078750993/251774161679688*c_1100_10^4 + 155809340998084933/62943540419922*c_1100_10^3 + 29570271449238589621/6797902365351576*c_1100_10^2 - 10192597315013922739/6797902365351576*c_1100_10 + 187832202846802612/849737795668947, c_0011_0 - 1, c_0011_10 - 417125239/14922603229*c_1100_10^12 + 862744396/14922603229*c_1100_10^11 - 930812807/14922603229*c_1100_10^10 - 1459232652/14922603229*c_1100_10^9 - 1785006720/14922603229*c_1100_10^8 - 7662568119/14922603229*c_1100_10^7 + 15992317670/14922603229*c_1100_10^6 - 7450813340/14922603229*c_1100_10^5 - 10341563572/14922603229*c_1100_10^4 - 2892723810/14922603229*c_1100_10^3 - 15761716639/14922603229*c_1100_10^2 + 87717762118/14922603229*c_1100_10 + 236576049/14922603229, c_0011_2 - 2190970651/14922603229*c_1100_10^12 + 1583795800/14922603229*c_1100_10^11 - 3443427007/14922603229*c_1100_10^10 - 10381476848/14922603229*c_1100_10^9 - 26489893716/14922603229*c_1100_10^8 - 74341625793/14922603229*c_1100_10^7 - 23474766058/14922603229*c_1100_10^6 - 72953756095/14922603229*c_1100_10^5 - 128626857561/14922603229*c_1100_10^4 - 206268326768/14922603229*c_1100_10^3 - 346136399019/14922603229*c_1100_10^2 - 18175454463/14922603229*c_1100_10 + 9199012454/14922603229, c_0011_3 + 445619157/14922603229*c_1100_10^12 - 96562329/14922603229*c_1100_10^11 + 209268304/14922603229*c_1100_10^10 + 2803370909/14922603229*c_1100_10^9 + 5685439529/14922603229*c_1100_10^8 + 17243693387/14922603229*c_1100_10^7 + 6731444786/14922603229*c_1100_10^6 + 10097573139/14922603229*c_1100_10^5 + 30894420549/14922603229*c_1100_10^4 + 43470067299/14922603229*c_1100_10^3 + 76872505904/14922603229*c_1100_10^2 + 236576049/14922603229*c_1100_10 - 14505477990/14922603229, c_0101_0 + 1458665330/14922603229*c_1100_10^12 - 1030412251/14922603229*c_1100_10^11 + 1910628752/14922603229*c_1100_10^10 + 7472002095/14922603229*c_1100_10^9 + 17679367789/14922603229*c_1100_10^8 + 46539457216/14922603229*c_1100_10^7 + 14896169822/14922603229*c_1100_10^6 + 45638564654/14922603229*c_1100_10^5 + 86463902612/14922603229*c_1100_10^4 + 136601676140/14922603229*c_1100_10^3 + 205607543882/14922603229*c_1100_10^2 + 14965003850/14922603229*c_1100_10 + 4492548490/14922603229, c_0101_1 - 732305321/14922603229*c_1100_10^12 + 553383549/14922603229*c_1100_10^11 - 1532798255/14922603229*c_1100_10^10 - 2909474753/14922603229*c_1100_10^9 - 8810525927/14922603229*c_1100_10^8 - 27802168577/14922603229*c_1100_10^7 - 8578596236/14922603229*c_1100_10^6 - 27315191441/14922603229*c_1100_10^5 - 42162954949/14922603229*c_1100_10^4 - 69666650628/14922603229*c_1100_10^3 - 140528855137/14922603229*c_1100_10^2 - 3210450613/14922603229*c_1100_10 + 13691560944/14922603229, c_0101_2 + 1, c_0101_6 - 813917046/14922603229*c_1100_10^12 + 1100603210/14922603229*c_1100_10^11 - 2084655312/14922603229*c_1100_10^10 - 1932138233/14922603229*c_1100_10^9 - 8846983662/14922603229*c_1100_10^8 - 22920259074/14922603229*c_1100_10^7 + 8116724052/14922603229*c_1100_10^6 - 25826028114/14922603229*c_1100_10^5 - 22664316952/14922603229*c_1100_10^4 - 54658746326/14922603229*c_1100_10^3 - 89379637203/14922603229*c_1100_10^2 + 69895589200/14922603229*c_1100_10 + 2973874564/14922603229, c_1001_4 - 2737298515/14922603229*c_1100_10^12 + 2340506708/14922603229*c_1100_10^11 - 5236738216/14922603229*c_1100_10^10 - 12103036565/14922603229*c_1100_10^9 - 30583189246/14922603229*c_1100_10^8 - 94655529422/14922603229*c_1100_10^7 - 23469586500/14922603229*c_1100_10^6 - 100943743128/14922603229*c_1100_10^5 - 152502842009/14922603229*c_1100_10^4 - 234043933095/14922603229*c_1100_10^3 - 440462411646/14922603229*c_1100_10^2 - 2448159174/14922603229*c_1100_10 - 2899569689/14922603229, c_1001_5 + 2190970651/14922603229*c_1100_10^12 - 1583795800/14922603229*c_1100_10^11 + 3443427007/14922603229*c_1100_10^10 + 10381476848/14922603229*c_1100_10^9 + 26489893716/14922603229*c_1100_10^8 + 74341625793/14922603229*c_1100_10^7 + 23474766058/14922603229*c_1100_10^6 + 72953756095/14922603229*c_1100_10^5 + 128626857561/14922603229*c_1100_10^4 + 206268326768/14922603229*c_1100_10^3 + 346136399019/14922603229*c_1100_10^2 + 18175454463/14922603229*c_1100_10 - 9199012454/14922603229, c_1100_10^13 - c_1100_10^12 + 2*c_1100_10^11 + 4*c_1100_10^10 + 11*c_1100_10^9 + 32*c_1100_10^8 + 3*c_1100_10^7 + 34*c_1100_10^6 + 49*c_1100_10^5 + 81*c_1100_10^4 + 142*c_1100_10^3 - 26*c_1100_10^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB