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lfunc_lfunctions • Show schema
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'3.98796071192884477735336646047503', '4.84506123048857842154839867912958', '5.36274064545844210088903213003216', '5.95557579400063811242387947680212', '6.29753536532339788144506532356966', '7.31599339660262361090232450625916', '7.78180129729300399453928843939974', '8.439618704201658616730309079441879', '8.854443681950545430007021630017059', '9.248424858875174770972139314889558', '9.516681435355276758194566916490864', '10.04503603989193165192675669080980', '10.72332263277543635520212718063008'], 'prelabel': '4-175e2-1.1-c9e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 9.493749066026437, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c9e2-0', 'trace_hash': 330803315970396508, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.13743857261380907854333089593', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.86255070794891609193750177491', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.05288156102244809378056457542', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 8123.646071323743, 'bad_primes': [5, 7], 'central_character': '1.1', 'conductor': 30625, 'conductor_radical': 35, 'degree': 4, 'dirichlet_coefficients': [1, 24, 174, -584, 0, 4176, -4802, -29568, 6669, 0, 18566, -101616, 51090, -115248, 0, 576, 373910, 160056, -143276, 0, -835548, 445584, 498908, -5144832, 0, 1226160, 477630, 2804368, -11577554, 0, -3953760, 20845056, 3230484, 8973840, 0, -3894696, 3205412, -3438624, 8889660, 0, 1058992, -20053152, -15948180, -10842544, 0, 11973792, -65501290, 100224, 17294403, 0, 65060340, -29836560, 25114688, 11463120, 0, 141985536, -24930024, -277861296, -116159208, 0, -44688544, -94890240, -32024538, 289373696, 0, 77531616, -118092496, -218363440, 86809992, 0, -294165824, -197188992, 57419332, 76929888, 0, 83673184, -89153932, 213351840, -692852854, 0, 134174556, 25415808, 540679928, 487960032, 0, -382756320, -2014494396, -548959488, -779043704, 0, -245334180, -291362272, -687954240, -1572030960, 0, 3627039744, 2673039406, 415065672, 123816654, 0], 'euler11': [1, -18566, 4136090463, -43777656831106, 5559917313492231481], 'euler13': [1, -51090, 19172461323, -541783872966570, 112455406951957393129], 'euler17': [1, -373910, 270283008251, -44341192900993270, 14063084452067724991009], 'euler19': [1, 143276, 642750798250, 46233402586984004, 104127350297911241532841], 'euler2': [1, -24, 1160, -12288, 262144], 'euler23': [1, -498908, -1733603053870, -898609472025182404, 3244150909895248285300369], 'euler29': [1, 11577554, 61819642147595, 167957265921506044426, 210457284365172120330305161], 'euler3': [1, -174, 23607, -3424842, 387420489], 'euler31': [1, 3953760, 18380996896542, 104535920513974572960, 699053619999045038539170241], 'euler37': [1, -3205412, 134679597433390, -416580920280017356724, 16890053810563300749953435929], 'euler41': [1, -1058992, -202350146478094, -346694849467729547312, 107178930967531784356353269521], 'euler43': [1, 15948180, 312060834724314, 8015437441838920795740, 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'nu_real_doubled': [9, 9], 'order_of_vanishing': 2, 'prelabel': '4-175e2-1.1-c9e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 9.493749066026437, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c9e2-0', 'trace_hash': 330803315970396508, 'z1': {'__RealLiteral__': 0, 'data': '1.13743857261380907854333089593', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1441874689296635571367814571486,2361063522886957086626671252540', 'Lhash_array': ['1441874689296635571367814571486', '2361063522886957086626671252540'], 'label': '4-175e2-1.1-c9e2-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/175/10/a/c'}