Magma V2.19-8 Wed Aug 21 2013 00:31:24 on localhost [Seed = 2851059969] Type ? for help. Type -D to quit. Loading file "K14n18166__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n18166 geometric_solution 10.94590921 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 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 1 0 -1 -5 0 6 -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 0.760744490572 0.700127997924 0 4 3 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 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 0.452471594426 0.503575930043 0 0 7 6 3120 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 0 1 1 0 0 -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 0.437058300986 1.278953843015 8 9 1 0 0132 0132 3120 0132 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 0 0 0 1 0 5 -6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.883352205661 0.480171518067 7 1 10 11 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.899786404070 0.662563744044 11 10 1 7 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455956136588 0.150100068234 7 9 2 8 0132 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 -1 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 0.126151600018 0.475005450930 6 4 5 2 0132 2031 2031 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.012758937169 1.098744854963 3 12 12 6 0132 0132 3201 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 1 -1 -1 0 1 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450621896764 0.472309592908 10 3 6 11 0132 0132 0213 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.895166432258 0.470655435343 9 5 12 4 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.305526624763 0.897201319972 5 9 4 12 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 1.305526624763 0.897201319972 8 8 10 11 2310 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 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 0.719015783269 1.741562256380 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_1001_10']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_1001_4'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], '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_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_1100_9' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_12']), 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : negation(d['c_1001_10']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0101_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_0'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : negation(d['c_1001_10']), '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_0101_10']), '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_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0101_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0011_6'], 'c_0110_12' : negation(d['c_0101_0']), 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_3, c_1001_0, c_1001_1, c_1001_10, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 16032/1573*c_1001_4^5 + 14192/1573*c_1001_4^4 + 57792/1573*c_1001_4^3 - 80112/1573*c_1001_4^2 + 10424/143*c_1001_4 - 7472/143, c_0011_0 - 1, c_0011_10 - 16/143*c_1001_4^5 - 2/13*c_1001_4^4 - 72/143*c_1001_4^3 + 84/143*c_1001_4^2 - 4/143*c_1001_4 + 10/13, c_0011_6 + 124/143*c_1001_4^5 + 138/143*c_1001_4^4 + 402/143*c_1001_4^3 - 58/13*c_1001_4^2 + 382/143*c_1001_4 - 32/13, c_0101_0 - 16/143*c_1001_4^5 - 2/13*c_1001_4^4 - 72/143*c_1001_4^3 + 84/143*c_1001_4^2 - 147/143*c_1001_4 + 10/13, c_0101_1 - 56/143*c_1001_4^5 - 38/143*c_1001_4^4 - 122/143*c_1001_4^3 + 450/143*c_1001_4^2 - 235/143*c_1001_4 + 9/13, c_0101_10 + 56/143*c_1001_4^5 + 90/143*c_1001_4^4 + 200/143*c_1001_4^3 - 22/13*c_1001_4^2 - 12/143*c_1001_4 - 9/13, c_0101_11 - 32/143*c_1001_4^5 - 4/13*c_1001_4^4 - 144/143*c_1001_4^3 + 168/143*c_1001_4^2 - 151/143*c_1001_4 + 20/13, c_0101_12 + 16/143*c_1001_4^5 + 2/13*c_1001_4^4 + 72/143*c_1001_4^3 - 84/143*c_1001_4^2 + 4/143*c_1001_4 + 3/13, c_0101_3 - 16/143*c_1001_4^5 - 2/13*c_1001_4^4 - 72/143*c_1001_4^3 + 84/143*c_1001_4^2 - 4/143*c_1001_4 + 10/13, c_1001_0 + 40/143*c_1001_4^5 + 68/143*c_1001_4^4 + 128/143*c_1001_4^3 - 158/143*c_1001_4^2 - 16/143*c_1001_4 - 12/13, c_1001_1 + 12/143*c_1001_4^5 - 42/143*c_1001_4^4 + 2/143*c_1001_4^3 - 14/13*c_1001_4^2 + 406/143*c_1001_4 - 14/13, c_1001_10 - 16/143*c_1001_4^5 - 2/13*c_1001_4^4 - 72/143*c_1001_4^3 + 84/143*c_1001_4^2 - 147/143*c_1001_4 + 10/13, c_1001_4^6 + 2*c_1001_4^4 - 9*c_1001_4^3 + 19/2*c_1001_4^2 - 6*c_1001_4 + 11/4 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_3, c_1001_0, c_1001_1, c_1001_10, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 17952039264/647626951*c_1001_4^7 + 50260611936/647626951*c_1001_4^6 - 2209775784/34085629*c_1001_4^5 - 283297432896/647626951*c_1001_4^4 - 301992990808/647626951*c_1001_4^3 - 340055835440/647626951*c_1001_4^2 - 375426800180/647626951*c_1001_4 - 6817794764/34085629, c_0011_0 - 1, c_0011_10 + 175144/2005037*c_1001_4^7 - 563866/2005037*c_1001_4^6 + 631324/2005037*c_1001_4^5 + 2555730/2005037*c_1001_4^4 + 1602184/2005037*c_1001_4^3 + 2828839/2005037*c_1001_4^2 + 3069476/2005037*c_1001_4 - 689185/2005037, c_0011_6 - 1424940/2005037*c_1001_4^7 + 4472758/2005037*c_1001_4^6 - 4995666/2005037*c_1001_4^5 - 20369568/2005037*c_1001_4^4 - 17522304/2005037*c_1001_4^3 - 23708623/2005037*c_1001_4^2 - 23479801/2005037*c_1001_4 - 4040822/2005037, c_0101_0 - 175144/2005037*c_1001_4^7 + 563866/2005037*c_1001_4^6 - 631324/2005037*c_1001_4^5 - 2555730/2005037*c_1001_4^4 - 1602184/2005037*c_1001_4^3 - 2828839/2005037*c_1001_4^2 - 1064439/2005037*c_1001_4 + 689185/2005037, c_0101_1 - 516812/2005037*c_1001_4^7 + 1344678/2005037*c_1001_4^6 - 767562/2005037*c_1001_4^5 - 8975328/2005037*c_1001_4^4 - 9466410/2005037*c_1001_4^3 - 9326181/2005037*c_1001_4^2 - 12293186/2005037*c_1001_4 - 4578737/2005037, c_0101_10 + 472024/2005037*c_1001_4^7 - 1719306/2005037*c_1001_4^6 + 2432660/2005037*c_1001_4^5 + 5893072/2005037*c_1001_4^4 + 2297288/2005037*c_1001_4^3 + 5469671/2005037*c_1001_4^2 + 5109136/2005037*c_1001_4 - 1828273/2005037, c_0101_11 + 350288/2005037*c_1001_4^7 - 1127732/2005037*c_1001_4^6 + 1262648/2005037*c_1001_4^5 + 5111460/2005037*c_1001_4^4 + 3204368/2005037*c_1001_4^3 + 5657678/2005037*c_1001_4^2 + 4133915/2005037*c_1001_4 - 1378370/2005037, c_0101_12 + 52688/2005037*c_1001_4^7 - 510866/2005037*c_1001_4^6 + 1395524/2005037*c_1001_4^5 - 1038110/2005037*c_1001_4^4 - 3074756/2005037*c_1001_4^3 - 2956043/2005037*c_1001_4^2 - 4593608/2005037*c_1001_4 - 2949884/2005037, c_0101_3 + 175144/2005037*c_1001_4^7 - 563866/2005037*c_1001_4^6 + 631324/2005037*c_1001_4^5 + 2555730/2005037*c_1001_4^4 + 1602184/2005037*c_1001_4^3 + 2828839/2005037*c_1001_4^2 + 3069476/2005037*c_1001_4 - 689185/2005037, c_1001_0 + 419336/2005037*c_1001_4^7 - 1208440/2005037*c_1001_4^6 + 1037136/2005037*c_1001_4^5 + 6931182/2005037*c_1001_4^4 + 5372044/2005037*c_1001_4^3 + 8425714/2005037*c_1001_4^2 + 9702744/2005037*c_1001_4 + 1121611/2005037, c_1001_1 - 480892/2005037*c_1001_4^7 + 1034146/2005037*c_1001_4^6 - 130346/2005037*c_1001_4^5 - 8583424/2005037*c_1001_4^4 - 12927728/2005037*c_1001_4^3 - 12769281/2005037*c_1001_4^2 - 13261529/2005037*c_1001_4 - 7697368/2005037, c_1001_10 - 175144/2005037*c_1001_4^7 + 563866/2005037*c_1001_4^6 - 631324/2005037*c_1001_4^5 - 2555730/2005037*c_1001_4^4 - 1602184/2005037*c_1001_4^3 - 2828839/2005037*c_1001_4^2 - 1064439/2005037*c_1001_4 + 689185/2005037, c_1001_4^8 - 2*c_1001_4^7 + 18*c_1001_4^5 + 29*c_1001_4^4 + 31*c_1001_4^3 + 71/2*c_1001_4^2 + 23*c_1001_4 + 17/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.570 Total time: 1.780 seconds, Total memory usage: 32.09MB