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{'Lhash': '475304025253828274678016731297,606430634374644274626199985801,1688304646446527778015664750172', 'a10': 6, 'a2': -3, 'a3': 1, 'a4': 6, 'a5': -2, 'a6': -3, 'a7': -3, 'a8': -10, 'a9': 2, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6743.347523048201, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, 3, 3, 1]], [7, [1, 3, 3, 1]], [13, [1]]], 'bad_primes': [2, 7, 13], 'central_character': '2366.1', 'coefficient_field': '1.1.1.1', 'conductor': 13244763896, 'conductor_radical': 182, 'degree': 6, 'euler_factors': [[1, 3, 3, 1], [1, -1, -1, 8, -3, -9, 27], [1, 2, 5, 16, 25, 50, 125], [1, 3, 3, 1], [1, 7, 25, 66, 275, 847, 1331], [1], [1, -2, 7, -12, 119, -578, 4913], [1, 4, 51, 136, 969, 1444, 6859], [1, -3, 53, -106, 1219, -1587, 12167], [1, -8, 67, -288, 1943, -6728, 24389], [1, -7, 85, -346, 2635, -6727, 29791], [1, 9, 119, 622, 4403, 12321, 50653], [1, -15, 179, -1274, 7339, -25215, 68921], [1, 8, 105, 560, 4515, 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'0.47838941918653432089481264991', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.33183753168464819506923358904', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6743.347523048201, 'bad_primes': [2, 7, 13], 'central_character': '1.1', 'conductor': 13244763896, 'conductor_radical': 182, 'degree': 6, 'dirichlet_coefficients': [1, -3, 1, 6, -2, -3, -3, -10, 2, 6, -7, 6, 0, 9, -2, 15, 2, -6, -4, -12, -3, 21, 3, -10, -1, 0, -5, -18, 8, 6, 7, -21, -7, -6, 6, 12, -9, 12, 0, 20, 15, 9, -8, -42, -4, -9, -17, 15, 6, 3, 2, 0, -18, 15, 14, 30, -4, -24, -10, -12, 5, -21, -6, 28, 0, 21, -15, 12, 3, -18, 4, -20, 11, 27, -1, -24, 21, 0, -7, -30, -8, -45, -10, -18, -4, 24, 8, 70, 26, 12, 0, 18, 7, 51, 8, -21, 21, -18, -14, -6], 'euler11': [1, 7, 25, 66, 275, 847, 1331], 'euler13': [1, 0, 0, 0, 0, 0, 0], 'euler17': [1, -2, 7, -12, 119, -578, 4913], 'euler19': [1, 4, 51, 136, 969, 1444, 6859], 'euler2': [1, 3, 3, 1, 0, 0, 0], 'euler23': [1, -3, 53, -106, 1219, -1587, 12167], 'euler29': [1, -8, 67, -288, 1943, -6728, 24389], 'euler3': [1, -1, -1, 8, -3, -9, 27], 'euler31': [1, -7, 85, -346, 2635, -6727, 29791], 'euler37': [1, 9, 119, 622, 4403, 12321, 50653], 'euler41': [1, -15, 179, -1274, 7339, -25215, 68921], 'euler43': [1, 8, 105, 560, 4515, 14792, 79507], 'euler47': [1, 17, 213, 1686, 10011, 37553, 103823], 'euler5': [1, 2, 5, 16, 25, 50, 125], 'euler53': [1, 18, 267, 2124, 14151, 50562, 148877], 'euler59': [1, 10, 83, 296, 4897, 34810, 205379], 'euler61': [1, -5, 181, -608, 11041, -18605, 226981], 'euler67': [1, 15, 257, 2026, 17219, 67335, 300763], 'euler7': [1, 3, 3, 1, 0, 0, 0], 'euler71': [1, -4, 53, 328, 3763, -20164, 357911], 'euler73': [1, -11, 235, -1610, 17155, -58619, 389017], 'euler79': [1, 7, 149, 1254, 11771, 43687, 493039], 'euler83': [1, 10, 123, 408, 10209, 68890, 571787], 'euler89': [1, -26, 447, -4860, 39783, -205946, 704969], 'euler97': [1, -21, 419, -4270, 40643, -197589, 912673], 'euler_factors': [[1, 3, 3, 1, 0, 0, 0], [1, -1, -1, 8, -3, -9, 27], [1, 2, 5, 16, 25, 50, 125], [1, 3, 3, 1, 0, 0, 0], [1, 7, 25, 66, 275, 847, 1331], [1, 0, 0, 0, 0, 0, 0], [1, -2, 7, -12, 119, -578, 4913], [1, 4, 51, 136, 969, 1444, 6859], [1, -3, 53, -106, 1219, -1587, 12167], [1, -8, 67, -288, 1943, -6728, 24389], [1, -7, 85, -346, 2635, -6727, 29791], [1, 9, 119, 622, 4403, 12321, 50653], [1, -15, 179, -1274, 7339, -25215, 68921], [1, 8, 105, 560, 4515, 14792, 79507], [1, 17, 213, 1686, 10011, 37553, 103823], [1, 18, 267, 2124, 14151, 50562, 148877], [1, 10, 83, 296, 4897, 34810, 205379], [1, -5, 181, -608, 11041, -18605, 226981], [1, 15, 257, 2026, 17219, 67335, 300763], [1, -4, 53, 328, 3763, -20164, 357911], [1, -11, 235, -1610, 17155, -58619, 389017], [1, 7, 149, 1254, 11771, 43687, 493039], [1, 10, 123, 408, 10209, 68890, 571787], [1, -26, 447, -4860, 39783, -205946, 704969], [1, -21, 419, -4270, 40643, -197589, 912673]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2366/2/a/x'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '6-2366e3-1.1-c1e3-0-0', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '6-2366e3-1.1-c1e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.346562448445317, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e3-0', 'trace_hash': 166196784416307259, 'z1': {'__RealLiteral__': 0, 'data': '0.37494876361692562821789927679', 'prec': 103}}
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{'Lhash': '475304025253828274678016731297,606430634374644274626199985801,1688304646446527778015664750172', 'Lhash_array': ['475304025253828274678016731297', '606430634374644274626199985801', '1688304646446527778015664750172'], 'label': '6-2366e3-1.1-c1e3-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2366/2/a/x'}