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              lfunc_lfunctions •   Show schema
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        {'Lhash': '2217633011684763358178721455982', 'a10': [0.0, 0.0], 'a2': [0.36602540378443865, 0.36602540378443865], 'a3': [0.0, 0.0], 'a4': [0.0, -0.7320508075688773], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [-0.7071067811865476, 0.7071067811865476], 'a8': [0.6339745962155614, -0.6339745962155614], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.7860273948969788, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [0.7071067811865476, -0.7071067811865476]]]], 'bad_primes': [3, 5, 7], 'central_character': '1575.818', 'coefficient_field': 'CDF', 'conductor': 1575, 'conductor_radical': 105, 'conjugate': '1168597191496862467129617254895', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.36602540378443865, -0.36602540378443865], [0, 1.0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0.7071067811865476, -0.7071067811865476]], [[1.0, 0], [0, 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[1.3660254037844386, -1.3660254037844386], [0, -1.0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 9, 'label': '2-1575-105.83-c0-0-9', 'leading_term': '1.236888347220635378569917087489', 'load_key': 'CMFs-workshop', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/1575/1/n/c/818/3', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05859375', 'prec': 34}, 'plot_values': [1.2368883472206353, 1.2872148138085733, 1.350144298940972, 1.4255889238100443, 1.512400505713241, 1.608591409517663, 1.7115831889534094, 1.8184260677671586, 1.9259658186015354, 2.0309599220692065, 2.130156490360035, 2.220351050106887, 2.298433260171449, 2.361431564253491, 2.4065602314298964, 2.431270619554863, 2.433306712549903, 2.4107638152268085, 2.362148542318125, 2.286437772821921, 2.183133969581194, 2.05231413746881, 1.8946696856131142, 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'5.37624061816045063627250995125511', '6.95391048302716835516072821472979', '7.09950950286914234861124215572355', '7.970205960913710794190104157396380', '9.100008071857990013277522640746868', '9.733504672347671665072905386892395'], 'prelabel': '2-1575-105.83-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.8865818602345633, 'root_angle': 0.13117101179198362, 'root_number': '0.67916510438076043974232126806919 + 0.73398553186794545735284627574529*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.1311710117919836', 'prec': 60}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.74940398504564107309680385852', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.88680937668118379592671039789', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.79161089902089641625625424940', 'prec': 103}}
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              lfunc_search •   Show schema
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        {'algebraic': True, 'analytic_conductor': 0.7860273948969788, 'bad_primes': [3, 5, 7], 'central_character': '105.83', 'conductor': 1575, 'conductor_radical': 105, 'degree': 2, 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1575/1/n/c/818/3'], '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': '2-1575-105.83-c0-0-9', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-1575-105.83-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.8865818602345633, 'root_angle': 0.13117101179198362, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.74940398504564107309680385852', 'prec': 103}}
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              lfunc_instances •   Show schema
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        {'Lhash': '2217633011684763358178721455982', 'Lhash_array': ['2217633011684763358178721455982'], 'factors': ['2-1575-105.83-c0-0-9'], 'label': '2-1575-105.83-c0-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1575/1/n/c/818/3'}