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{'Lhash': '328687218899588235165161581415,1280704342889992636741177290371,1778457409183573467051577367045,2053227339451573967398557735869,2229935118243540161185533449982,3420978419169473661013835036936', 'a10': 0, 'a2': 0, 'a3': 3, 'a4': 6, 'a5': 0, 'a6': 0, 'a7': 3, 'a8': 0, 'a9': 3, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 105604.28750844872, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [1, -3, 6, -7, 6, -3, 1]], [7, [1, -3, -6, 37, -42, -147, 343]], [41, [1, 6, 15, 20, 15, 6, 1]]], 'bad_primes': [3, 7, 41], 'central_character': '861.1', 'coefficient_field': '1.1.1.1', 'conductor': 407398015096219161, 'conductor_radical': 861, 'degree': 12, 'euler_factors': [[1, 0, -6, 0, 24, 0, -56, 0, 96, 0, -96, 0, 64], [1, -3, 6, -7, 6, -3, 1], [1, 0, -3, 28, -6, -42, 401, -210, -150, 3500, -1875, 0, 15625], [1, -3, -6, 37, -42, -147, 343], [1, 0, -3, -100, -24, 150, 5063, 1650, -2904, -133100, -43923, 0, 1771561], [1, 6, 57, 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'10.28058342886249374772095442267452', '10.59839745148148176135245531783318', '10.69081476331115395541212064811455'], 'prelabel': '12-861e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.622044929827146, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e6-0', 'trace_hash': 94540280560357341, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.25928849703570603498450021626', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.01029758725268068588374011878', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.40295552170556915920382186925', 'prec': 103}}
-
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{'algebraic': True, 'analytic_conductor': 105604.28750844872, 'bad_primes': [3, 7, 41], 'central_character': '1.1', 'conductor': 407398015096219161, 'conductor_radical': 861, 'degree': 12, 'dirichlet_coefficients': [1, 0, 3, 6, 0, 0, 3, 0, 3, 0, 0, 18, -6, 0, 0, 12, 6, 0, 9, 0, 9, 0, -6, 0, 3, 0, -2, 18, 0, 0, -3, 0, 0, 0, 0, 18, 3, 0, -18, 0, -6, 0, -42, 0, 0, 0, 0, 36, 15, 0, 18, -36, 6, 0, 0, 0, 27, 0, -18, 0, -6, 0, 9, -16, 0, 0, -3, 36, -18, 0, 0, 0, 21, 0, 9, 54, 0, 0, -21, 0, -9, 0, -12, 54, 0, 0, 0, 0, -12, 0, -18, -36, -9, 0, 0, 0, 36, 0, 0, 18], 'euler11': [1, 0, -3, -100, -24, 150, 5063, 1650, -2904, -133100, -43923, 0, 1771561], 'euler13': [1, 6, 57, 230, 1458, 4950, 24261, 64350, 246402, 505310, 1627977, 2227758, 4826809], 'euler17': [1, -6, -27, 46, 1626, -2238, -23107, -38046, 469914, 225998, -2255067, -8519142, 24137569], 'euler19': [1, -9, 9, 46, 693, -3609, 6390, -68571, 250173, 315514, 1172889, -22284891, 47045881], 'euler2': [1, 0, -6, 0, 24, 0, -56, 0, 96, 0, -96, 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[], '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': '12-861e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.622044929827146, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 94540280560357341, 'z1': {'__RealLiteral__': 0, 'data': '0.25928849703570603498450021626', 'prec': 103}}
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{'Lhash': '328687218899588235165161581415,1280704342889992636741177290371,1778457409183573467051577367045,2053227339451573967398557735869,2229935118243540161185533449982,3420978419169473661013835036936', 'Lhash_array': ['328687218899588235165161581415', '1280704342889992636741177290371', '1778457409183573467051577367045', '2053227339451573967398557735869', '2229935118243540161185533449982', '3420978419169473661013835036936'], 'label': '12-861e6-1.1-c1e6-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/861/2/i/c'}