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lfunc_lfunctions • Show schema
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 122.90047788931291, 'bad_primes': [11], 'central_character': '11.10', 'conductor': 11, 'conductor_radical': 11, 'degree': 2, 'dirichlet_coefficients': [1, 0, -20179560230, 4398046511104, -821522784070726, 0, 0, 0, 297795661944685293691, 0, -7400249944258160101211, -88750644465164531793920, 0, 0, 16577968501472499896826980, 19342813113834066795298816, 0, 0, 0, -3613095414274701231080341504, 0, 0, -50363512213721912802020695390, 0, 447526009304084637368610401451, 0, -3801358414960426768785362850860, 0, 0, 0, -31635530226194653583794674738862, 0, 149333789467211684431370270438530, 0, 0, 1309719172037729379752960132644864, -1395585587331463134185648294086150, 0, 0, 0, 0, 0, 0, -32546643448642171510613294075346944, -244645921284982612463587767825589666, 0, -184428694469661001289839622311103950, -390329462248248397121575538319687680, 311973482284542371301330321821976049, 0, 0, 0, -1722747046887274263618099250766714470, 0, 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'is_instance_NF': False, 'label': '2-11-11.10-c42-0-6', 'motivic_weight': 42, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [42], 'order_of_vanishing': 0, 'prelabel': '2-11-11.10-c42-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 11.086048795189065, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c42-0', 'trace_hash': 1936959985826308959, 'z1': {'__RealLiteral__': 0, 'data': '0.20478903873380430984247907408', 'prec': 103}}
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lfunc_instances • Show schema
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id: 24592835
{'Lhash': '259600947871069153397705831793', 'Lhash_array': ['259600947871069153397705831793'], 'factors': ['2-11-11.10-c42-0-6'], 'label': '2-11-11.10-c42-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/11/43/b/a/10/1'}
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id: 24500597
{'Lhash': '259600947871069153397705831793', 'Lhash_array': ['259600947871069153397705831793'], 'factors': ['2-11-11.10-c42-0-6'], 'label': '2-11-11.10-c42-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/11/43/b/a'}