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mf_newforms • Show schema
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{'Nk2': 1984, 'analytic_conductor': 3.960579940255507, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 31, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [496, 3, [63, 373, 65], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 129, 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, 2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, -2, 5, 2, 1]], [5, [1, 1, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525747180962288, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 31, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1984, 'analytic_conductor': 3.960579940255507, 'char_conductor': 31, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [496, 3, [63, 373, 65], [3, 3, 2]], 'conrey_index': 129, 'cusp_dim': 116, 'dim': 30, 'eis_dim': 24, 'eis_new_dim': 4, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 549789368816, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 6, 6], 'label': '496.2.i', 'level': 496, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 31], 'level_radical': 62, 'mf_dim': 140, 'mf_new_dim': 34, 'num_forms': 10, 'prim_orbit_index': 3, 'relative_dim': 15, 'sturm_bound': 128, 'trace_bound': 5, 'trace_display': [0, 3, -1, 5], 'traces': [30, 0, 3, 0, -1, 0, 5, 0, -14, 0, 7, 0, -1, 0, 18, 0, -1, 0, 3, 0, 5, 0, 16, 0, -20, 0, -54, 0, -4, 0, -6, 0, -6, 0, 6, 0, -1, 0, -10, 0, -1, 0, -1, 0, 6, 0, 40, 0, 2, 0, -1, 0, 3, 0, -17, 0, 1, 0, 9, 0, 4, 0, -48, 0, 9, 0, -1, 0, 20, 0, -15, 0, -13, 0, 8, 0, 34, 0, 17, 0, -11, 0, 29, 0, 54, 0, -8, 0, -12, 0, 42, 0, -39, 0, 10, 0, 4, 0, 40, 0, -60, 0, 35, 0, -25, 0, -17, 0, -4, 0, -25, 0, 15, 0, -28, 0, 22, 0, -55, 0, -2, 0, 42, 0, -42, 0, -41, 0, -15, 0, -37, 0, 37, 0, -5, 0, 11, 0, -96, 0, -48, 0, -55, 0, -38, 0, -16, 0, 11, 0, 148, 0, -4, 0, -57, 0, -12, 0, -10, 0, 0, 0, 48, 0, -15, 0, -1, 0, -12, 0, -128, 0, -5, 0, -4, 0, -3, 0, 65, 0, 15, 0, -40, 0, 22, 0, 74, 0, 15, 0, -7, 0, -17, 0, 73, 0, -33, 0, -7, 0, -38, 0, 0, 0, 29, 0, -44, 0, -22, 0, -3, 0, 2, 0, -110, 0, 45, 0, 74, 0, 46, 0, -23, 0, 168, 0, -41, 0, -13, 0, 39, 0, 4, 0, 28, 0, 45, 0, 63, 0, -25, 0, 84, 0, 10, 0, -74, 0, 90, 0, 105, 0, -8, 0, 147, 0, -29, 0, -15, 0, 48, 0, 112, 0, 61, 0, 76, 0, -69, 0, 72, 0, 11, 0, -248, 0, -4, 0, 108, 0, 4, 0, -16, 0, 11, 0, 38, 0, 8, 0, -16, 0, -9, 0, 158, 0, -39, 0, 40, 0, 5, 0, -100, 0, 6, 0, 17, 0, 2, 0, -176, 0, -25, 0, 112, 0, -53, 0, -40, 0, 69, 0, -69, 0, -72, 0, 28, 0, -16, 0, 45, 0, -36, 0, 35, 0, -52, 0, -26, 0, 57, 0, -122, 0, -176, 0, 27, 0, 52, 0, 69, 0, 7, 0, -39, 0, 50, 0, -19, 0, -54, 0, -76, 0, -3, 0, -75, 0, -6, 0, -54, 0, 20, 0, -199, 0, -10, 0, -107, 0, 1, 0, -5, 0, -51, 0, -96, 0, 7, 0, -68, 0, 125, 0, -234, 0, -21, 0, 226, 0, -52, 0, -147, 0, -30, 0, 58, 0, -25, 0, -22, 0, 49, 0, 53, 0, 52, 0, -96, 0, -41, 0, -64, 0, 56, 0, 112, 0, -35, 0, 39, 0, -60, 0, 320, 0, -108, 0, -109, 0, 64, 0, -9, 0, 2, 0, 99, 0, 108, 0, -41, 0, 20, 0, -69, 0, 68, 0, -65, 0, -36, 0, 24, 0, -132, 0, 232, 0, -86, 0, -4, 0, -54, 0, -120, 0, 118, 0, 41, 0, 46, 0, 64, 0, -86, 0, 125, 0, 64, 0, 203, 0, -2, 0, -80, 0, -118, 0, 151, 0, 105, 0, 45, 0, 50, 0, -68, 0, 7, 0, 110, 0, -53, 0, 147, 0, 64, 0, 42, 0, 39, 0, -176, 0, 24, 0, 123, 0, -82, 0, -16, 0, 57, 0, 90, 0, -75, 0, -104, 0, 15, 0, 226, 0, 26, 0, 33, 0, 16, 0, -124, 0, 45, 0, 107, 0, -60, 0, -306, 0, 57, 0, 73, 0, 13, 0, -85, 0, -49, 0, -47, 0, 10, 0, -48, 0, 19, 0, 63, 0, -62, 0, 9, 0, 60, 0, 108, 0, -27, 0, -402, 0, 68, 0, 37, 0, -222, 0, 101, 0, -29, 0, -68, 0, 164, 0, -95, 0, 102, 0, -60, 0, -5, 0, -225, 0, 27, 0, 28, 0, -256, 0, -136, 0, -5, 0, -211, 0, 25, 0, 41, 0, 29, 0, -158, 0, -10, 0, -160, 0, -77, 0, 48, 0, -117, 0, 236, 0, 50, 0, -333, 0, -4, 0, -86, 0, -2, 0, -112, 0, -65, 0, 113, 0, -21, 0, -168, 0, 117, 0, -72, 0, -13, 0, 276, 0, -17, 0, -116, 0, -6, 0, 424, 0, 85, 0, -179, 0, -35, 0, 103, 0, -150, 0, 164, 0, 14, 0, -32, 0, -25, 0, -77, 0, -160, 0, -32, 0, 92, 0, -24, 0, 60, 0, 270, 0, 258, 0, -85, 0, 186, 0, -235, 0, -52, 0, 1, 0, -122, 0, 79, 0, 83, 0, 192, 0, 37, 0, 179, 0, 23, 0, 112, 0, 142, 0, 256, 0, 37, 0, 207, 0, -107, 0, 58, 0, -13, 0, 432, 0, 63, 0, 132, 0, -158, 0, 178, 0, 31, 0, -314, 0, 68, 0, 312, 0, 178, 0, -30, 0, 69, 0, 240, 0, 150, 0, -63, 0, -108, 0, 274, 0, -86, 0, 121, 0, -77, 0, -204, 0, -84, 0, 3, 0, 8, 0, -386, 0, -133, 0, 167, 0, 0, 0, 28, 0, 133, 0, -176, 0, 60, 0, 107, 0, -92, 0, -13, 0, -12, 0, 136, 0, 36, 0, -30, 0, 156, 0, -256, 0, -190, 0, 42, 0, 392, 0, 164, 0, 12, 0, 12, 0, -156, 0, -284, 0, -33, 0, -83, 0, -17, 0, -289, 0, 9, 0, -40, 0, 218, 0, -223, 0, -52, 0, -73, 0, -65, 0, 69, 0, -49, 0, -396, 0, 207, 0, -71, 0, 133, 0, -98, 0, 56, 0, 166, 0, -152, 0, -72, 0, 246, 0, -326, 0, 49, 0, -216, 0, 84, 0, 137, 0, 33, 0, -416, 0, 9, 0, 11, 0, 33, 0, 167, 0, 24, 0, -176, 0, -132, 0, 408, 0, -16, 0, -121, 0, 51, 0, 87, 0, 195, 0, 212, 0, -154, 0, -23, 0, -75, 0, -19, 0, -20, 0, -155, 0, -260, 0, 14, 0, -150, 0, 312, 0, -322, 0, -59, 0, -238, 0, -131, 0, -8, 0, -24, 0, 84, 0, 200, 0, -96, 0, 17, 0, 9, 0, 260, 0, -52, 0, 36, 0, -86, 0, 189, 0, -81, 0, 135, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46324925
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 129, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525747180962288, 'target_is_minimal': False, 'target_label': '496.2.i.h.129.1', 'target_level': 496, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46324926
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 5, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137472507935, 'target_is_minimal': True, 'target_label': '31.2.c.a.5.1', 'target_level': 31, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46324927
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 253, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007680324632855, 'target_is_minimal': False, 'target_label': '279.2.h.c.253.2', 'target_level': 279, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46324928
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 749, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511760988340999, 'target_is_minimal': False, 'target_label': '775.2.o.d.749.4', 'target_level': 775, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46324929
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 749, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511760988340999, 'target_is_minimal': False, 'target_label': '775.2.o.d.749.1', 'target_level': 775, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46324930
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 501, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420944135, 'target_is_minimal': False, 'target_label': '775.2.e.e.501.2', 'target_level': 775, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 46324931
{'conductor': 31, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 273, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525747180962288, 'target_is_minimal': False, 'target_label': '496.2.i.h.273.1', 'target_level': 496, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '31.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 46324932
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 448, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561606015714241, 'target_is_minimal': False, 'target_label': '961.2.g.r.448.1', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46324933
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 338, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050807133602753, 'target_is_minimal': False, 'target_label': '961.2.g.o.338.2', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46324934
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 388, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029003210949569, 'target_is_minimal': False, 'target_label': '961.2.d.i.388.2', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46324935
{'conductor': 124, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 846, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561606015714241, 'target_is_minimal': False, 'target_label': '961.2.g.r.846.1', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 46324936
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 844, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050807133602753, 'target_is_minimal': False, 'target_label': '961.2.g.o.844.1', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 46324937
{'conductor': 124, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 816, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561606015714241, 'target_is_minimal': False, 'target_label': '961.2.g.r.816.2', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 46324938
{'conductor': 124, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 235, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561606015714241, 'target_is_minimal': False, 'target_label': '961.2.g.r.235.2', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 46324939
{'conductor': 124, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 235, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050807133602753, 'target_is_minimal': False, 'target_label': '961.2.g.o.235.2', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 46324940
{'conductor': 124, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 816, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050807133602753, 'target_is_minimal': False, 'target_label': '961.2.g.o.816.2', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.39', 'twisting_conrey_index': 39, 'weight': 2}
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id: 46324941
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 844, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561606015714241, 'target_is_minimal': False, 'target_label': '961.2.g.r.844.1', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 46324942
{'conductor': 124, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 846, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050807133602753, 'target_is_minimal': False, 'target_label': '961.2.g.o.846.1', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 46324943
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 388, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539802093061057, 'target_is_minimal': False, 'target_label': '961.2.d.l.388.2', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.51', 'twisting_conrey_index': 51, 'weight': 2}
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id: 46324944
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 338, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561606015714241, 'target_is_minimal': False, 'target_label': '961.2.g.r.338.2', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.55', 'twisting_conrey_index': 55, 'weight': 2}
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id: 46324945
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 448, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050807133602753, 'target_is_minimal': False, 'target_label': '961.2.g.o.448.1', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 46324946
{'conductor': 124, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33555393, 'target_is_minimal': False, 'target_label': '961.2.a.a.1.1', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 46324947
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 374, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539802093061057, 'target_is_minimal': False, 'target_label': '961.2.d.l.374.2', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.71', 'twisting_conrey_index': 71, 'weight': 2}
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id: 46324948
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 628, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029003210949569, 'target_is_minimal': False, 'target_label': '961.2.d.i.628.1', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.75', 'twisting_conrey_index': 75, 'weight': 2}
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id: 46324949
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 732, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561606015714241, 'target_is_minimal': False, 'target_label': '961.2.g.r.732.2', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.79', 'twisting_conrey_index': 79, 'weight': 2}
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id: 46324950
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 531, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029003210949569, 'target_is_minimal': False, 'target_label': '961.2.d.i.531.1', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 46324951
{'conductor': 124, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 25, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137472507935, 'target_is_minimal': True, 'target_label': '31.2.c.a.25.1', 'target_level': 31, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.87', 'twisting_conrey_index': 87, 'weight': 2}
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id: 46324952
{'conductor': 124, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 547, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561606015714241, 'target_is_minimal': False, 'target_label': '961.2.g.r.547.1', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.91', 'twisting_conrey_index': 91, 'weight': 2}
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id: 46324953
{'conductor': 124, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 547, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050807133602753, 'target_is_minimal': False, 'target_label': '961.2.g.o.547.1', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.95', 'twisting_conrey_index': 95, 'weight': 2}
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id: 46324954
{'conductor': 124, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 521, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137472508865, 'target_is_minimal': False, 'target_label': '961.2.c.a.521.1', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.99', 'twisting_conrey_index': 99, 'weight': 2}
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id: 46324955
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 531, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539802093061057, 'target_is_minimal': False, 'target_label': '961.2.d.l.531.1', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.103', 'twisting_conrey_index': 103, 'weight': 2}
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id: 46324956
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 732, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050807133602753, 'target_is_minimal': False, 'target_label': '961.2.g.o.732.2', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.107', 'twisting_conrey_index': 107, 'weight': 2}
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id: 46324957
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 628, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539802093061057, 'target_is_minimal': False, 'target_label': '961.2.d.l.628.1', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.111', 'twisting_conrey_index': 111, 'weight': 2}
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id: 46324958
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 374, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029003210949569, 'target_is_minimal': False, 'target_label': '961.2.d.i.374.2', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.115', 'twisting_conrey_index': 115, 'weight': 2}
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id: 46324959
{'conductor': 124, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288296385, 'target_is_minimal': False, 'target_label': '961.2.a.c.1.1', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.119', 'twisting_conrey_index': 119, 'weight': 2}
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id: 46324960
{'conductor': 124, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 439, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137472508865, 'target_is_minimal': False, 'target_label': '961.2.c.a.439.1', 'target_level': 961, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '124.123', 'twisting_conrey_index': 123, 'weight': 2}
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id: 46324961
{'conductor': 372, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45035996307268041, 'target_is_minimal': False, 'target_label': '8649.2.a.k.1.2', 'target_level': 8649, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '372.119', 'twisting_conrey_index': 119, 'weight': 2}
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id: 46324962
{'conductor': 372, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539595934638537, 'target_is_minimal': False, 'target_label': '8649.2.a.l.1.2', 'target_level': 8649, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '372.191', 'twisting_conrey_index': 191, 'weight': 2}
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id: 46324963
{'conductor': 372, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 118, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007680324632855, 'target_is_minimal': False, 'target_label': '279.2.h.c.118.2', 'target_level': 279, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '372.335', 'twisting_conrey_index': 335, 'weight': 2}
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id: 46324964
{'conductor': 620, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 149, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511760988340999, 'target_is_minimal': False, 'target_label': '775.2.o.d.149.1', 'target_level': 775, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '620.87', 'twisting_conrey_index': 87, 'weight': 2}
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id: 46324965
{'conductor': 620, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 676, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420944135, 'target_is_minimal': False, 'target_label': '775.2.e.e.676.2', 'target_level': 775, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '620.459', 'twisting_conrey_index': 459, 'weight': 2}
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id: 46324966
{'conductor': 620, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962288, 'source_is_minimal': False, 'source_label': '496.2.i.h.129.1', 'source_level': 496, 'target_conrey_index': 149, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511760988340999, 'target_is_minimal': False, 'target_label': '775.2.o.d.149.4', 'target_level': 775, 'twist_class_label': '31.2.c.a.5.1', 'twist_class_level': 31, 'twisting_char_label': '620.583', 'twisting_conrey_index': 583, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 968400
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 31525747180962288, 'p': 2}
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id: 968401
{'charpoly_factorization': [[[1, -2, 5, 2, 1], 1]], 'hecke_orbit_code': 31525747180962288, 'p': 3}
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id: 968402
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 31525747180962288, 'p': 5}
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id: 968403
{'charpoly_factorization': [[[1, 2, 5, -2, 1], 1]], 'hecke_orbit_code': 31525747180962288, 'p': 7}
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id: 968404
{'charpoly_factorization': [[[289, -34, 21, 2, 1], 1]], 'hecke_orbit_code': 31525747180962288, 'p': 11}
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id: 968405
{'charpoly_factorization': [[[49, 14, 11, -2, 1], 1]], 'hecke_orbit_code': 31525747180962288, 'p': 13}
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id: 968406
{'charpoly_factorization': [[[1, -6, 35, -6, 1], 1]], 'hecke_orbit_code': 31525747180962288, 'p': 17}
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id: 968407
{'charpoly_factorization': [[[49, -42, 29, -6, 1], 1]], 'hecke_orbit_code': 31525747180962288, 'p': 19}
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id: 968408
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 31525747180962288, 'p': 23}
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id: 968409
{'charpoly_factorization': [[[8, 8, 1], 2]], 'hecke_orbit_code': 31525747180962288, 'p': 29}
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id: 968410
{'charpoly_factorization': [[[31, -10, 1], 2]], 'hecke_orbit_code': 31525747180962288, 'p': 31}
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id: 968411
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 31525747180962288, 'p': 37}
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id: 968412
{'charpoly_factorization': [[[5041, -142, 75, 2, 1], 1]], 'hecke_orbit_code': 31525747180962288, 'p': 41}
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id: 968413
{'charpoly_factorization': [[[9409, -194, 101, 2, 1], 1]], 'hecke_orbit_code': 31525747180962288, 'p': 43}
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id: 968414
{'charpoly_factorization': [[[-16, 8, 1], 2]], 'hecke_orbit_code': 31525747180962288, 'p': 47}
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id: 968415
{'charpoly_factorization': [[[1, 6, 35, 6, 1], 1]], 'hecke_orbit_code': 31525747180962288, 'p': 53}
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id: 968416
{'charpoly_factorization': [[[1681, -246, 77, 6, 1], 1]], 'hecke_orbit_code': 31525747180962288, 'p': 59}
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id: 968417
{'charpoly_factorization': [[[-8, 0, 1], 2]], 'hecke_orbit_code': 31525747180962288, 'p': 61}
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id: 968418
{'charpoly_factorization': [[[289, -34, 21, 2, 1], 1]], 'hecke_orbit_code': 31525747180962288, 'p': 67}
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id: 968419
{'charpoly_factorization': [[[1, -14, 197, 14, 1], 1]], 'hecke_orbit_code': 31525747180962288, 'p': 71}
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id: 968420
{'charpoly_factorization': [[[49, -14, 11, 2, 1], 1]], 'hecke_orbit_code': 31525747180962288, 'p': 73}
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id: 968421
{'charpoly_factorization': [[[10609, 2266, 381, 22, 1], 1]], 'hecke_orbit_code': 31525747180962288, 'p': 79}
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id: 968422
{'charpoly_factorization': [[[1681, -246, 77, 6, 1], 1]], 'hecke_orbit_code': 31525747180962288, 'p': 83}
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id: 968423
{'charpoly_factorization': [[[-56, 8, 1], 2]], 'hecke_orbit_code': 31525747180962288, 'p': 89}
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id: 968424
{'charpoly_factorization': [[[56, -16, 1], 2]], 'hecke_orbit_code': 31525747180962288, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 8, 'label': '496.2.i.h', 'level': 496, 'portrait': 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'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 50058685
{'hecke_orbit_code': 31525747180962288, 'n': 1, 'trace_an': 4}
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id: 50058686
{'hecke_orbit_code': 31525747180962288, 'n': 2, 'trace_an': 0}
-
id: 50058687
{'hecke_orbit_code': 31525747180962288, 'n': 3, 'trace_an': -2}
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id: 50058688
{'hecke_orbit_code': 31525747180962288, 'n': 4, 'trace_an': 0}
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id: 50058689
{'hecke_orbit_code': 31525747180962288, 'n': 5, 'trace_an': -2}
-
id: 50058690
{'hecke_orbit_code': 31525747180962288, 'n': 6, 'trace_an': 0}
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id: 50058691
{'hecke_orbit_code': 31525747180962288, 'n': 7, 'trace_an': 2}
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id: 50058692
{'hecke_orbit_code': 31525747180962288, 'n': 8, 'trace_an': 0}
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id: 50058693
{'hecke_orbit_code': 31525747180962288, 'n': 9, 'trace_an': 0}
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id: 50058694
{'hecke_orbit_code': 31525747180962288, 'n': 10, 'trace_an': 0}
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id: 50058695
{'hecke_orbit_code': 31525747180962288, 'n': 11, 'trace_an': -2}
-
id: 50058696
{'hecke_orbit_code': 31525747180962288, 'n': 12, 'trace_an': 0}
-
id: 50058697
{'hecke_orbit_code': 31525747180962288, 'n': 13, 'trace_an': 2}
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id: 50058698
{'hecke_orbit_code': 31525747180962288, 'n': 14, 'trace_an': 0}
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id: 50058699
{'hecke_orbit_code': 31525747180962288, 'n': 15, 'trace_an': 4}
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id: 50058700
{'hecke_orbit_code': 31525747180962288, 'n': 16, 'trace_an': 0}
-
id: 50058701
{'hecke_orbit_code': 31525747180962288, 'n': 17, 'trace_an': 6}
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id: 50058702
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