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'rational': True, 'root_analytic_conductor': 4.030083345432008, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e10-0', 'trace_hash': 729171793803058483, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.18139956880761897272689606303', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.53851834842876467024859554843', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '0.813661129120093773244458251446', 'prec': 107}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1277263659891.6118, 'bad_primes': [2, 3, 113], 'central_character': '1.1', 'conductor': 1212019161428387049205354363339776, 'conductor_radical': 678, 'degree': 20, 'dirichlet_coefficients': [1, 10, 0, 55, 0, 0, 0, 220, 0, 0, 2, 0, 2, 0, 0, 715, 0, 0, 0, 0, 0, 20, 0, 0, 25, 20, 0, 0, 0, 0, -8, 2002, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 110, 0, 0, 0, 0, -34, 250, 0, 110, 18, 0, 0, 0, 0, 0, 0, 0, 2, -80, 0, 5005, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, -14, 0, 0, 0, 0, 440, 0, 0, 0, 0, 0, 0, 0, 0, 10, -340, 0, 1375], 'euler11': [1, -2, 41, -128, 1138, -3646, 23322, -71118, 366897, -1011782, 4590370, -11129602, 44394537, -94658058, 341457402, -587191946, 2016036418, -2494357888, 8788714121, -4715895382, 25937424601], 'euler13': [1, -2, 55, -126, 1617, -3732, 34908, -78396, 618678, -1282760, 9005242, -16675880, 104556582, -172236012, 997007388, -1385665476, 7804950153, -7906313142, 44865189655, -21208998746, 137858491849], 'euler17': 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'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '20-2034e10-1.1-c1e10-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.030083345432008, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e10-0', 'trace_hash': 729171793803058483, 'z1': {'__RealLiteral__': 0, 'data': '0.18139956880761897272689606303', 'prec': 103}}
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{'Lhash': '229951272280120190369356340103,682653107619638311856324337808,1031438018711465736229812198976,1362144059811402986075896897215,1485386143524161499625912483784,1651957176757494378166357675611,1738755206083833802795826753023,1744801840474739484133740118354,1994614069235632551155663984410,2718286153033438333587222141822', 'Lhash_array': ['229951272280120190369356340103', '682653107619638311856324337808', '1031438018711465736229812198976', '1362144059811402986075896897215', '1485386143524161499625912483784', '1651957176757494378166357675611', '1738755206083833802795826753023', '1744801840474739484133740118354', '1994614069235632551155663984410', '2718286153033438333587222141822'], 'factors': ['2-2034-113.112-c1-0-1', '2-2034-113.112-c1-0-9', '2-2034-113.112-c1-0-16', '2-2034-113.112-c1-0-23', '2-2034-113.112-c1-0-28', '2-2034-113.112-c1-0-31', '2-2034-113.112-c1-0-35', '2-2034-113.112-c1-0-36', '2-2034-113.112-c1-0-39', '2-2034-113.112-c1-0-46'], 'label': '20-2034e10-1.1-c1e10-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2034/2/c/h'}