Magma V2.19-8 Tue Aug 20 2013 23:52:20 on localhost [Seed = 3954016455] Type ? for help. Type -D to quit. Loading file "L13n2639__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2639 geometric_solution 10.72522683 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 3201 1 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 0.892709070087 1.164082132416 0 0 5 4 0132 2310 0132 0132 1 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 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 0.585175583334 0.540926162522 5 0 7 6 0213 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 0.857972518079 0.901976573111 4 8 9 0 0132 0132 0132 0132 1 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 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 0.439505719387 0.667424551538 3 6 1 8 0132 1023 0132 1023 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.364089086684 0.710162278740 2 10 9 1 0213 0132 3120 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 1 -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 0.170351166668 1.081852325045 4 8 2 11 1023 0213 0132 0132 1 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 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 0.829875060434 0.794574338055 10 10 10 2 0321 3201 2031 0132 1 1 1 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 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539254735616 0.425904933257 11 3 6 4 0132 0132 0213 1023 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394910694811 0.235674404558 11 11 5 3 1023 0321 3120 0132 1 1 1 1 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 1 0 -1 0 -8 9 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439505719387 0.667424551538 7 5 7 7 0321 0132 2310 1302 1 0 1 1 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 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 -0.142027481921 0.901976573111 8 9 6 9 0132 1023 0132 0321 1 1 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 0 0 0 -1 1 0 0 0 0 0 1 8 0 -9 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.311789229322 1.045103043537 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : d['c_0011_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : negation(d['c_1001_5']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0101_3'], 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_7']), '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_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_11'], 'c_1100_8' : d['c_0101_9'], 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : negation(d['c_0101_9']), 'c_1100_7' : negation(d['c_1001_5']), 'c_1100_6' : negation(d['c_1001_5']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_1001_5']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_0'], 'c_1100_11' : negation(d['c_1001_5']), 'c_1100_10' : d['c_0011_7'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_0101_3'], 'c_1010_8' : d['c_0101_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' : 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_11'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0011_7']), 'c_0101_7' : d['c_0011_7'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_11']})} 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_11, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_9, c_1001_0, c_1001_1, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 100371890560/581158697361*c_1001_5^10 - 1418581901689/1162317394722*c_1001_5^9 - 421000023914/581158697361*c_1001_5^8 + 12794938586137/1162317394722*c_1001_5^7 + 667950618581/35221739234*c_1001_5^6 - 2843746440672/193719565787*c_1001_5^5 - 9018536691233/581158697361*c_1001_5^4 + 23020641469336/581158697361*c_1001_5^3 - 3085234481267/193719565787*c_1001_5^2 - 8132841838940/581158697361*c_1001_5 + 22595470606954/581158697361, c_0011_0 - 1, c_0011_10 + 150349/39693921*c_1001_5^10 - 462625/39693921*c_1001_5^9 - 4564876/39693921*c_1001_5^8 + 4780615/39693921*c_1001_5^7 + 10150144/13231307*c_1001_5^6 - 6971910/13231307*c_1001_5^5 - 17527927/39693921*c_1001_5^4 + 84465500/39693921*c_1001_5^3 - 27166819/13231307*c_1001_5^2 + 130006988/39693921*c_1001_5 - 43949167/39693921, c_0011_11 + 746/9921*c_1001_5^10 + 2350/9921*c_1001_5^9 - 8003/9921*c_1001_5^8 - 20995/9921*c_1001_5^7 + 8737/3307*c_1001_5^6 + 1483/3307*c_1001_5^5 - 71009/9921*c_1001_5^4 + 91330/9921*c_1001_5^3 - 28392/3307*c_1001_5^2 + 49849/9921*c_1001_5 - 34763/9921, c_0011_7 - 1, c_0101_0 + c_1001_5, c_0101_1 - 1, c_0101_11 + 631663/13231307*c_1001_5^10 + 2098830/13231307*c_1001_5^9 - 6401700/13231307*c_1001_5^8 - 18793535/13231307*c_1001_5^7 + 19976683/13231307*c_1001_5^6 + 9179465/13231307*c_1001_5^5 - 63982729/13231307*c_1001_5^4 + 61192808/13231307*c_1001_5^3 - 45924804/13231307*c_1001_5^2 + 25893455/13231307*c_1001_5 - 22826693/13231307, c_0101_3 + 7975865/39693921*c_1001_5^10 + 24967558/39693921*c_1001_5^9 - 87406559/39693921*c_1001_5^8 - 225582595/39693921*c_1001_5^7 + 100382086/13231307*c_1001_5^6 + 25758247/13231307*c_1001_5^5 - 793318037/39693921*c_1001_5^4 + 973634860/39693921*c_1001_5^3 - 276182339/13231307*c_1001_5^2 + 471023317/39693921*c_1001_5 - 331020017/39693921, c_0101_9 - 1364719/39693921*c_1001_5^10 - 4264178/39693921*c_1001_5^9 + 13801555/39693921*c_1001_5^8 + 37065788/39693921*c_1001_5^7 - 12985870/13231307*c_1001_5^6 - 2635197/13231307*c_1001_5^5 + 108671689/39693921*c_1001_5^4 - 117433868/39693921*c_1001_5^3 + 41881694/13231307*c_1001_5^2 - 63494537/39693921*c_1001_5 + 57886150/39693921, c_1001_0 - 1364719/39693921*c_1001_5^10 - 4264178/39693921*c_1001_5^9 + 13801555/39693921*c_1001_5^8 + 37065788/39693921*c_1001_5^7 - 12985870/13231307*c_1001_5^6 - 2635197/13231307*c_1001_5^5 + 108671689/39693921*c_1001_5^4 - 117433868/39693921*c_1001_5^3 + 41881694/13231307*c_1001_5^2 - 63494537/39693921*c_1001_5 + 57886150/39693921, c_1001_1 + 150349/39693921*c_1001_5^10 - 462625/39693921*c_1001_5^9 - 4564876/39693921*c_1001_5^8 + 4780615/39693921*c_1001_5^7 + 10150144/13231307*c_1001_5^6 - 6971910/13231307*c_1001_5^5 - 17527927/39693921*c_1001_5^4 + 84465500/39693921*c_1001_5^3 - 27166819/13231307*c_1001_5^2 + 90313067/39693921*c_1001_5 - 43949167/39693921, c_1001_5^11 + 6*c_1001_5^10 - 2*c_1001_5^9 - 60*c_1001_5^8 - 44*c_1001_5^7 + 120*c_1001_5^6 - 64*c_1001_5^5 - 161*c_1001_5^4 + 239*c_1001_5^3 - 235*c_1001_5^2 + 130*c_1001_5 - 121 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB