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-
lfunc_search • Show schema
Hide schema
{'algebraic': True, 'analytic_conductor': 184609.2649707123, 'bad_primes': [3, 5, 7], 'central_character': '1.1', 'conductor': 712181767349390625, 'conductor_radical': 105, 'degree': 12, 'dirichlet_coefficients': [1, 3, 0, 2, 3, 0, -4, -3, 0, 9, -9, 0, 0, -12, 0, -4, -3, 0, 21, 6, 0, -27, -6, 0, 3, 0, 0, -8, 0, 0, 6, 6, 0, -9, -12, 0, 16, 63, 0, -9, -24, 0, -8, -18, 0, -18, -21, 0, 2, 9, 0, 0, -27, 0, -27, 12, 0, 0, -3, 0, -33, 18, 0, 17, 0, 0, -27, -6, 0, -36, 0, 0, -12, 48, 0, 42, 36, 0, 12, -12, 0, -72, -60, 0, -9, -24, 0, 27, 12, 0, 0, -12, 0, -63, 63, 0, 0, 6, 0, 6], 'euler11': [1, 9, 58, 279, 1151, 4398, 15085, 48378, 139271, 371349, 849178, 1449459, 1771561], 'euler13': [1, 0, -48, 0, 1164, 0, -18191, 0, 196716, 0, -1370928, 0, 4826809], 'euler17': [1, 3, -9, -96, -207, 381, 7342, 6477, -59823, -471648, -751689, 4259571, 24137569], 'euler19': [1, -21, 240, -1953, 12657, -69144, 324421, -1313736, 4569177, -13395627, 31277040, -51998079, 47045881], 'euler2': [1, -3, 7, -12, 17, 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872270343, 3629621260, 11291278311, 22164361129], 'euler59': [1, 3, -60, -987, -1101, 27210, 454939, 1605390, -3832581, -202709073, -727041660, 2144772897, 42180533641], 'euler61': [1, 33, 606, 8019, 82671, 726492, 5868979, 44316012, 307618791, 1820160639, 8390579646, 27871677933, 51520374361], 'euler67': [1, 27, 402, 3215, 9231, -143994, -1955949, -9647598, 41437959, 966953045, 8100750642, 36453377889, 90458382169], 'euler7': [1, 4, 14, 55, 98, 196, 343, 0, 0, 0, 0, 0, 0], 'euler71': [1, 0, -98, 0, 17423, 0, -1003580, 0, 87829343, 0, -2490344738, 0, 128100283921], 'euler73': [1, 12, 246, 2376, 31722, 281166, 2840749, 20525118, 169046538, 924304392, 6985967286, 24876859116, 151334226289], 'euler79': [1, -12, 18, -286, -1434, 86766, -791061, 6854514, -8949594, -141009154, 701101458, -36924676788, 243087455521], 'euler83': [1, 60, 1926, 42036, 686007, 8742408, 88904212, 725619864, 4725902223, 24035638332, 91404726246, 236342438580, 326940373369], 'euler89': [1, -12, 72, -1110, 252, 67596, -176933, 6016044, 1996092, -782515590, 4517441352, -67008713388, 496981290961], 'euler97': [1, 0, -255, 0, 38829, 0, -4326059, 0, 365342061, 0, -22574966655, 0, 832972004929], 'euler_factors': [[1, -3, 7, -12, 17, -24, 31, -48, 68, -96, 112, -96, 64], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -3, 6, -7, 6, -3, 1, 0, 0, 0, 0, 0, 0], [1, 4, 14, 55, 98, 196, 343, 0, 0, 0, 0, 0, 0], [1, 9, 58, 279, 1151, 4398, 15085, 48378, 139271, 371349, 849178, 1449459, 1771561], [1, 0, -48, 0, 1164, 0, -18191, 0, 196716, 0, -1370928, 0, 4826809], [1, 3, -9, -96, -207, 381, 7342, 6477, -59823, -471648, -751689, 4259571, 24137569], [1, -21, 240, -1953, 12657, -69144, 324421, -1313736, 4569177, -13395627, 31277040, -51998079, 47045881], [1, 6, 82, 420, 3836, 15936, 106861, 366528, 2029244, 5110140, 22946962, 38618058, 148035889], [1, 0, 25, 0, -259, 0, -45203, 0, -217819, 0, 17682025, 0, 594823321], [1, -6, 90, -468, 4248, -16932, 145717, -524892, 4082328, -13942188, 83116890, -171774906, 887503681], [1, -16, 110, -426, 634, 11530, -125825, 426610, 867946, -21578178, 206157710, -1109503312, 2565726409], [1, 24, 468, 5910, 63792, 527316, 3796099, 21619956, 107234352, 407323110, 1322456148, 2780548824, 4750104241], [1, 8, 146, 1080, 12055, 73552, 659932, 3162736, 22289695, 85867560, 499144946, 1176067544, 6321363049], [1, 21, 162, 1353, 17415, 124230, 650959, 5838810, 38469735, 140472519, 790508322, 4816245147, 10779215329], [1, 27, 460, 5859, 61103, 539352, 4194451, 28585656, 171638327, 872270343, 3629621260, 11291278311, 22164361129], [1, 3, -60, -987, -1101, 27210, 454939, 1605390, -3832581, -202709073, -727041660, 2144772897, 42180533641], [1, 33, 606, 8019, 82671, 726492, 5868979, 44316012, 307618791, 1820160639, 8390579646, 27871677933, 51520374361], [1, 27, 402, 3215, 9231, -143994, -1955949, -9647598, 41437959, 966953045, 8100750642, 36453377889, 90458382169], [1, 0, -98, 0, 17423, 0, -1003580, 0, 87829343, 0, -2490344738, 0, 128100283921], [1, 12, 246, 2376, 31722, 281166, 2840749, 20525118, 169046538, 924304392, 6985967286, 24876859116, 151334226289], [1, -12, 18, -286, -1434, 86766, -791061, 6854514, -8949594, -141009154, 701101458, -36924676788, 243087455521], [1, 60, 1926, 42036, 686007, 8742408, 88904212, 725619864, 4725902223, 24035638332, 91404726246, 236342438580, 326940373369], [1, -12, 72, -1110, 252, 67596, -176933, 6016044, 1996092, -782515590, 4517441352, -67008713388, 496981290961], [1, 0, -255, 0, 38829, 0, -4326059, 0, 365342061, 0, -22574966655, 0, 832972004929]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/945/2/bj/h'], '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': '12-945e6-1.1-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': '12-945e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.746973423790445, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 14406060347003608, 'z1': {'__RealLiteral__': 0, 'data': '0.12442216865366690581766666830', 'prec': 103}}
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{'Lhash': '157723836775518842444656907024,579077832723795777620122826131,1698219081605529500513615871424,1823844590371683267751603913794,2062282485086911907549154878283,2160515504995373416943242301246', 'Lhash_array': ['157723836775518842444656907024', '579077832723795777620122826131', '1698219081605529500513615871424', '1823844590371683267751603913794', '2062282485086911907549154878283', '2160515504995373416943242301246'], 'label': '12-945e6-1.1-c1e6-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/945/2/bj/h'}