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'10.51062732391119466601484402748500', '10.87992880697985188169226920060550'], 'prelabel': '12-735e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.422602845817719, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e6-0', 'trace_hash': 129525124703887943, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.62562193882476938977424344886', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.76204998513013853300185557497', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '0.974767415738005954941835462056', 'prec': 107}}
-
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{'algebraic': True, 'analytic_conductor': 40868.30977387769, 'bad_primes': [3, 5, 7], 'central_character': '1.1', 'conductor': 157660912023890625, 'conductor_radical': 105, 'degree': 12, 'dirichlet_coefficients': [1, 0, 0, 1, -2, 0, 0, 0, -3, 0, 12, 0, 0, 0, 0, 2, 0, 0, 12, -2, 0, 0, 0, 0, 1, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, -3, 0, 0, 0, 0, -4, 0, 0, 12, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 32, 0, 12, 0, 0, 6, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 12, 0, 0, -24, -4, 6, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, -24, 0, 0, 0, -36, 1], 'euler11': [1, -12, 126, -820, 4695, -19992, 75524, -219912, 568095, -1091420, 1844766, -1932612, 1771561], 'euler13': [1, 0, -34, 0, 359, 0, -2172, 0, 60671, 0, -971074, 0, 4826809], 'euler17': [1, 0, -70, 0, 2415, 0, -51220, 0, 697935, 0, -5846470, 0, 24137569], 'euler19': [1, -12, 142, -1012, 7079, -36344, 181796, -690536, 2555519, -6941308, 18505582, -29713188, 47045881], 'euler2': [1, 0, -1, 0, -1, 0, -3, 0, -4, 0, -16, 0, 64], 'euler23': [1, 0, -106, 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496981290961], [1, 0, -26, 0, 8719, 0, 446932, 0, 82037071, 0, -2301761306, 0, 832972004929]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/735/2/d/b'], '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': '12-735e6-1.1-c1e6-0-0', '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}, {'__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, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '12-735e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.422602845817719, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 129525124703887943, 'z1': {'__RealLiteral__': 0, 'data': '0.62562193882476938977424344886', 'prec': 103}}
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{'Lhash': '793070026267167532470137756656,966013121054133401459745115425,1235664499643203275477963860500,1692533515384907894698143194819,2120906167816895454176061815218,2366940269665923889193630912264', 'Lhash_array': ['793070026267167532470137756656', '966013121054133401459745115425', '1235664499643203275477963860500', '1692533515384907894698143194819', '2120906167816895454176061815218', '2366940269665923889193630912264'], 'label': '12-735e6-1.1-c1e6-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/735/2/d/b'}