Magma V2.19-8 Wed Aug 21 2013 00:56:22 on localhost [Seed = 3280329212] Type ? for help. Type -D to quit. Loading file "L13n1718__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n1718 geometric_solution 11.89753534 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 0132 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 0 0 0 0 0 0 0 1 0 -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 0.861372113123 0.952621795448 0 4 0 5 0132 0132 3012 0132 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 -1 1 1 0 -1 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 0.477782286574 0.577538984836 6 7 8 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 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 0.516627789439 0.432231546430 4 4 0 7 0132 1302 0132 0132 1 1 1 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 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 0.516627789439 0.432231546430 3 1 9 3 0132 0132 0132 2031 1 1 0 1 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.149592093328 1.027965525130 6 8 1 9 2103 3201 0132 0132 1 1 1 1 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 -3 -1 4 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 0.657491247859 0.514186716950 2 10 5 11 0132 0132 2103 0132 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 0 0 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.250535330605 1.123932940838 9 2 3 11 0132 0132 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.140200008648 0.753840835222 12 11 5 2 0132 2103 2310 0132 1 1 1 1 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 1 -1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.767135399796 0.786775194969 7 12 5 4 0132 2310 0132 0132 1 1 1 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 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669401834877 0.791288952909 12 6 12 11 2310 0132 0213 2310 1 1 1 1 0 0 0 0 -1 0 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 -1 1 4 0 -4 0 0 0 0 0 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.364697456524 0.651567223518 10 8 6 7 3201 2103 0132 2103 1 1 1 1 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 -1 0 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.937849589443 1.528845289284 8 10 10 9 0132 0213 3201 3201 1 1 1 1 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 1 -1 0 0 0 0 0 0 4 0 -4 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345885879544 1.168638041492 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0011_12']), 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : negation(d['c_0101_8']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_1001_2']), 'c_1010_10' : d['c_0011_5'], 's_0_10' : 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_11'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_12'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_0']), 'c_1100_8' : d['c_0011_5'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : d['c_0011_5'], 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : d['c_1001_2'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_10']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_10'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), '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' : d['c_0011_10'], 'c_0110_11' : negation(d['c_0011_5']), 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : d['c_0101_8'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_4'], 'c_0101_6' : d['c_0101_0'], '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_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], '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_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_9'], 'c_0110_6' : d['c_0101_11'], 's_2_9' : negation(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_11, c_0011_12, c_0011_5, c_0101_0, c_0101_1, c_0101_11, c_0101_4, c_0101_8, c_0101_9, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 2211443/7685*c_1001_2^3 - 22057127/30740*c_1001_2^2 - 3690141/7685*c_1001_2 - 3995409/30740, c_0011_0 - 1, c_0011_10 + c_1001_2, c_0011_11 - 143/29*c_1001_2^3 - 40/29*c_1001_2^2 - 42/29*c_1001_2 - 17/29, c_0011_12 - 52/29*c_1001_2^3 + 54/29*c_1001_2^2 - 10/29*c_1001_2 + 7/29, c_0011_5 + 52/29*c_1001_2^3 - 54/29*c_1001_2^2 + 10/29*c_1001_2 - 7/29, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 + c_1001_2, c_0101_4 - 104/29*c_1001_2^3 + 108/29*c_1001_2^2 - 20/29*c_1001_2 - 15/29, c_0101_8 - 52/29*c_1001_2^3 + 54/29*c_1001_2^2 - 10/29*c_1001_2 + 7/29, c_0101_9 - 143/29*c_1001_2^3 - 40/29*c_1001_2^2 + 16/29*c_1001_2 - 17/29, c_1001_0 + 52/29*c_1001_2^3 - 54/29*c_1001_2^2 + 10/29*c_1001_2 + 22/29, c_1001_2^4 + 6/13*c_1001_2^3 + 4/13*c_1001_2^2 + 2/13*c_1001_2 + 1/13 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_5, c_0101_0, c_0101_1, c_0101_11, c_0101_4, c_0101_8, c_0101_9, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 101867749185114816/183532231*c_1001_2^6 - 126266489070687600/183532231*c_1001_2^5 + 203467863021795269/183532231*c_1001_2^4 - 296595041480573927/183532231*c_1001_2^3 + 2062529002988707449/734128924*c_1001_2^2 - 358760733054190193/183532231*c_1001_2 + 607154314389479339/734128924, c_0011_0 - 1, c_0011_10 - 96111792/183532231*c_1001_2^6 - 159409868/183532231*c_1001_2^5 + 774156101/734128924*c_1001_2^4 - 156426185/367064462*c_1001_2^3 + 328412627/183532231*c_1001_2^2 - 115214965/367064462*c_1001_2 - 87458375/734128924, c_0011_11 - 12255616/183532231*c_1001_2^6 - 48533664/183532231*c_1001_2^5 - 61269174/183532231*c_1001_2^4 - 98530689/183532231*c_1001_2^3 - 49777224/183532231*c_1001_2^2 + 86509094/183532231*c_1001_2 + 38227479/183532231, c_0011_12 - 37813312/183532231*c_1001_2^6 - 52400016/183532231*c_1001_2^5 + 83965759/183532231*c_1001_2^4 - 55686514/183532231*c_1001_2^3 + 280165718/183532231*c_1001_2^2 - 120175760/183532231*c_1001_2 - 8857592/183532231, c_0011_5 - 72605968/183532231*c_1001_2^6 - 166398756/183532231*c_1001_2^5 + 17944351/734128924*c_1001_2^4 - 212243227/367064462*c_1001_2^3 + 220717043/183532231*c_1001_2^2 - 80915073/367064462*c_1001_2 + 331985663/734128924, c_0101_0 - 1, c_0101_1 + 1, c_0101_11 - 96111792/183532231*c_1001_2^6 - 159409868/183532231*c_1001_2^5 + 774156101/734128924*c_1001_2^4 - 156426185/367064462*c_1001_2^3 + 328412627/183532231*c_1001_2^2 - 115214965/367064462*c_1001_2 - 87458375/734128924, c_0101_4 - 145211936/183532231*c_1001_2^6 - 332797512/183532231*c_1001_2^5 + 17944351/367064462*c_1001_2^4 - 212243227/183532231*c_1001_2^3 + 441434086/183532231*c_1001_2^2 - 80915073/183532231*c_1001_2 - 35078799/367064462, c_0101_8 + 72605968/183532231*c_1001_2^6 + 166398756/183532231*c_1001_2^5 - 17944351/734128924*c_1001_2^4 + 212243227/367064462*c_1001_2^3 - 220717043/183532231*c_1001_2^2 + 80915073/367064462*c_1001_2 - 331985663/734128924, c_0101_9 + 108367408/183532231*c_1001_2^6 + 207943532/183532231*c_1001_2^5 - 529079405/734128924*c_1001_2^4 + 353487563/367064462*c_1001_2^3 - 278635403/183532231*c_1001_2^2 + 309261239/367064462*c_1001_2 - 65451541/734128924, c_1001_0 + 72605968/183532231*c_1001_2^6 + 166398756/183532231*c_1001_2^5 - 17944351/734128924*c_1001_2^4 + 212243227/367064462*c_1001_2^3 - 220717043/183532231*c_1001_2^2 + 80915073/367064462*c_1001_2 + 402143261/734128924, c_1001_2^7 + 5/4*c_1001_2^6 - 127/64*c_1001_2^5 + 185/64*c_1001_2^4 - 161/32*c_1001_2^3 + 111/32*c_1001_2^2 - 93/64*c_1001_2 - 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.500 Total time: 0.710 seconds, Total memory usage: 32.09MB