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lfunc_lfunctions • Show schema
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{'Lhash': '4689886456833923130537261716689', 'a10': -71734066560, 'a2': 1728, 'a3': -59049, 'a4': 888832, 'a5': -41512770, 'a6': -102036672, 'a7': 538429808, 'a8': -2087976960, 'a9': 3486784401, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 8.384320328611864, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '10.5', 'prec': 14}, 'bad_lfactors': [[3, [1, 59049]]], 'bad_primes': [3], 'central_character': '3.1', 'coefficient_field': '1.1.1.1', 'conductor': 3, 'conductor_radical': 3, 'degree': 2, 'euler_factors': [[1, -1728, 2097152], [1, 59049], [1, 41512770, 476837158203125], [1, -538429808, 558545864083284007], [1, 64113040188, 7400249944258160101211], [1, 130980107986, 247064529073450392704413], [1, -8242029723618, 69091933913008732880827217], [1, -13492101753020, 714209495693373205673756419], [1, 233184825844776, 39471584120695485887249589623], [1, 2024562031123770, 5132842708382182842735812571629], [1, 6869194988701768, 20825506393391550743120420649631], [1, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 8.384320328611864, 'bad_primes': [3], 'central_character': '1.1', 'conductor': 3, 'conductor_radical': 3, 'degree': 2, 'dirichlet_coefficients': [1, 1728, -59049, 888832, -41512770, -102036672, 538429808, -2087976960, 3486784401, -71734066560, -64113040188, -52484640768, -130980107986, 930406708224, 2451287555730, -5472039993344, 8242029723618, 6025163444928, 13492101753020, -36897878384640, -31793741732592, -110787333444864, -233184825844776, 123292951511040, 1246472914869775, -226333626599808, -205891132094649, 478573643104256, -2024562031123770, 4235824896301440, -6869194988701768, -5076880050880512, 3785810910061212, 14242227362411904, -22351712780648160, 3099165552709632, 3443998107027638, 23314351829218560, 7734244396465314, 86677707305779200, -21842403084625158, -54939585713918976, -71792816814133756, -56985721736380416, -144746078878300770, -402943379059772928, 283544719418655648, 323118489566969856, -268639205940367143, 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'root_analytic_conductor': 2.8955690854496745, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c21-0', 'trace_hash': 94850339276862402, 'z1': {'__RealLiteral__': 0, 'data': '3.69966807572177230845693757257', 'prec': 103}}
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lfunc_instances • Show schema
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id: 10414859
{'Lhash': '4689886456833923130537261716689', 'Lhash_array': ['4689886456833923130537261716689'], 'label': '2-3-1.1-c21-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3/22/a/b'}
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id: 24551566
{'Lhash': '4689886456833923130537261716689', 'Lhash_array': ['4689886456833923130537261716689'], 'label': '2-3-1.1-c21-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3/22/a/b/1/1'}