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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-2, 4, 4, -5, -1, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 135076, 'disc_rad': 67538, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[5, 1]]], [5, [[5, 1]]], [7, [[5, 1]]], [11, [[4, 1], [1, 1]]], [13, [[3, 1], [2, 1]]], [17, [[3, 1], [2, 1]]], [19, [[5, 1]]], [23, [[4, 1], [1, 1]]], [29, [[5, 1]]], [31, [[2, 2], [1, 1]]], [37, [[3, 1], [1, 2]]], [41, [[3, 1], [2, 1]]], [43, [[3, 1], [1, 2]]], [47, [[2, 1], [1, 3]]], [53, [[4, 1], [1, 1]]], [59, [[5, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [80, 60], 'galois_label': '5T5', 'galt': 5, 'grd': 291.70626984657, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.5.135076.1', 'local_algs': ['2.2.0.1', '2.3.2.1', 'm33769.2.1.1', 'm33769.1.3.0'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [2, 33769], 'rd': 10.6197828931, 'regulator': {'__RealLiteral__': 0, 'data': '11.6288832988', 'prec': 44}, 'res': {'sib': ['-142826599561,-1056688090,5612639706,25345106,-79227547,-136592,491499,-16,-1274,0,1', '-27840,204992,8208,-384478,90458,113762,-24237,-11182,2119,440,-77,-6,1', '-4,-88,-116,2228,3516,-16838,-26963,41890,68395,-36568,-67026,12898,30138,-2054,-6916,148,822,-4,-47,0,1', '-76,480,-872,495,-89,-1,1', '-81606116763,6632169624,321164281794,-77629031366,-474300248193,169488057498,341136377586,-152519068080,-129070305522,68168053796,26337413866,-16587943978,-2777391377,2285100974,119235882,-179965080,2045822,8032188,-375614,-197302,13103,2458,-190,-12,1', '11501399250767168,4432679605680488,-3786624896859328,-1242520120314000,499570710693860,139699336428688,-36219751834060,-8473051127930,1632809879552,309797466348,-48346440787,-7141369648,956777399,104362782,-12515208,-935892,103548,4686,-489,-10,1', '2,-10,-14,73,34,-113,3,45,-9,-4,1', '2578097758533840896,-2908565350174266368,-32328400229468457536,83019063892970157952,-7113774014007753216,-169624555504912893824,133092377684263063104,125711359601495195424,-182890052899149832944,-25774389743210327776,122035420944601017904,-19335743704854574560,-48585276282477903856,16548285687754085856,12397231933140430132,-6201762025862192224,-2059753804091394408,1443811539643447248,212536588110938800,-229127109345737418,-10273926810314801,25783401376634088,-478862497574621,-2095667145146778,126897978469096,123868582443882,-11096219471357,-5314178177678,586193947707,163796789720,-20561612308,-3553860062,487092929,52386240,-7655603,-493266,75800,2638,-423,-6,1', '356009260736,3154040637568,-596687870144,-53461792203008,-40980715985712,257201202482544,120757280315844,-302112148106304,-138953953239844,155710121659216,75254850685858,-43739679861280,-22741004623763,7386169348559,4227800400802,-783289695631,-510618936795,52622618190,41245460967,-2178407125,-2254779187,50194434,83164149,-396749,-2027021,-7358,31099,177,-270,-1,1', '43713392,404057952,-1084246400,-597289984,2209661032,255311016,-1628182568,-51413060,580103816,12490956,-109459382,-2868634,11099835,276265,-598448,-10125,16356,163,-210,-1,1', '46148,228948,249544,-312701,-675070,-188182,225672,109407,-29624,-19700,1736,1653,-38,-66,0,1', '743385371072,983918038976,-70216180476992,94498790390272,396042147785760,-117367094709616,-529505401428812,112059292488788,332181401248776,-80388357357984,-113751787264390,32746017915980,23175647112907,-7780259199910,-2963592557854,1158165342894,242984261474,-113665625530,-12477139561,7562108574,348479038,-343521100,-954000,10504054,-296495,-206864,10624,2370,-164,-12,1', '752,-7040,-77552,427804,3041728,-2690516,-24426276,11809012,82405630,-37255131,-146042292,70983185,151312307,-81435700,-96436929,58280270,38311304,-26687297,-9232264,7891699,1201251,-1494780,-40427,176062,-9798,-12127,1338,433,-63,-6,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{4} - 5 a^{2} - a + 3 \\)', '\\( a^{2} - 1 \\)', '\\( a^{3} - 3 a + 1 \\)', '\\( a^{4} - a^{3} - 4 a^{2} + 4 a + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4']}