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{'Nk2': 27300, 'analytic_conductor': 54.497899379523865, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [7, -1], [13, -1]], 'atkin_lehner_string': '----', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6825, 1, [2276, 3277, 976, 4201], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 2000, 'field_disc_factorization': [[2, 4], [5, 3]], 'field_poly': [5, 0, -5, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 20, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, 1, 1]], [11, [61, -36, -14, 4, 1]], [17, [101, -2, -26, 2, 1]], [19, [-19, -32, -11, 2, 1]]], 'hecke_orbit': 31, 'hecke_orbit_code': 135107988854676137, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '6825.2.a.be', 'level': 6825, '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': [3, 5, 7, 13], 'level_radical': 1365, 'minimal_twist': '1365.2.f.c', 'nf_label': '4.4.2000.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1-\\beta _{2})q^{2}+q^{3}+\\beta _{2}q^{4}+(-1+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6825.2.a', 'trace_display': [-2, 4, 0, 4], 'trace_hash': 2117596331057025512, 'trace_moments': 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-
mf_newspaces • Show schema
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{'ALdims': [13, 12, 16, 13, 12, 18, 14, 16, 13, 10, 12, 19, 16, 18, 18, 8], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [54, 57, 53, 53, 59, 50, 54, 55, 58, 58, 56, 52, 50, 51, 51, 58], 'Nk2': 27300, 'analytic_conductor': 54.497899379523865, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6825, 1, [2276, 3277, 976, 4201], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1097, 'dim': 228, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11, 17, 19], 'hecke_orbit_code': 33561257, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 10, 10, 12, 12], 'label': '6825.2.a', 'level': 6825, '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': [3, 5, 7, 13], 'level_radical': 1365, 'mf_dim': 1144, 'mf_new_dim': 228, 'num_forms': 57, 'plus_dim': 104, 'prim_orbit_index': 1, 'relative_dim': 228, 'sturm_bound': 2240, 'trace_bound': 17, 'trace_display': [4, 0, 0, 4], 'traces': [228, 4, 0, 224, 0, -8, 4, 12, 228, 0, 8, -8, 0, 4, 0, 208, 8, 4, -8, 0, -4, -8, 12, -24, 0, 0, 0, 12, 20, 0, -8, 28, 8, -16, 0, 224, 32, -40, -8, 0, 24, 0, 4, 16, 0, 32, -16, -16, 228, 0, -8, -8, 36, -8, 0, 60, -16, -24, 24, 0, -16, 24, 4, 256, 0, 8, 32, 0, -24, 0, 0, 12, 40, 80, 0, -16, 16, 4, -28, 0, 228, -72, 32, -12, 0, -56, 24, -24, -48, 0, -8, -16, -16, 48, 0, 64, -8, 4, 8, 0, -32, 16, 16, 24, 0, 104, -40, -8, -48, 0, -16, 28, -20, 112, 0, 160, 0, 72, -8, 0, 244, 0, 32, 160, 0, 4, 0, 116, -16, 0, -40, 32, -20, 24, 0, 48, 8, 32, -32, 0, -32, -8, 8, 208, 0, 72, 0, 112, 48, 0, -80, 0, 8, 40, 0, -16, 40, -24, 24, 0, 32, 4, 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48, 128, 0, -256, -48, 40, -64, 0, -104, -272, 8, 312, 0, 8, -328, -368, 64, 0, -608, 0, -104, -24, 0, -8, 312, -8, -568, 0, -240, -72, 24, 8, 0, -136, 4, -80, -24, 0, -440, -200, -16, -80, 0, 8, -192, -76, 88, 0, 220, 32, 72, -344, 0, -424, 168, 48, -8, 0, -48, 4, -512, -32, 0, -268, -96, -64, -720, 0, -160, -88, 16, -272, 0, 0, -120, 72, -48, 0, -176, 16, -216, 16, 0, -8, 184, 32, 288, 0, 24, 160, 80, -48, 0, 272, 0, -304, 408, 0, 616, 192, 0, 52, 0, 360, -24, -4, 104, 0, 840, -80, 176, 24, 0, 0, -96, -40, 464, 0, 120, 8, -12, -304, 0, 192, -8, -8, 936, 0, 192, -192, 48, 0, 0, -48, -328, 208, 32, 0, 448, -24, -56, 492, 0, 176, -48, 128, -8, 0, -224, -32, -128, -16, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48734551
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 135107988854676137, 'source_is_minimal': False, 'source_label': '6825.2.a.be.1.2', 'source_level': 6825, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 135107988854676137, 'target_is_minimal': False, 'target_label': '6825.2.a.be.1.2', 'target_level': 6825, 'twist_class_label': '1365.2.f.c.274.2', 'twist_class_level': 1365, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48734552
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 135107988854676137, 'source_is_minimal': False, 'source_label': '6825.2.a.be.1.2', 'source_level': 6825, 'target_conrey_index': 274, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542885680469, 'target_is_minimal': True, 'target_label': '1365.2.f.c.274.2', 'target_level': 1365, 'twist_class_label': '1365.2.f.c.274.2', 'twist_class_level': 1365, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48734553
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 135107988854676137, 'source_is_minimal': False, 'source_label': '6825.2.a.be.1.2', 'source_level': 6825, 'target_conrey_index': 274, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007542885680469, 'target_is_minimal': True, 'target_label': '1365.2.f.c.274.8', 'target_level': 1365, 'twist_class_label': '1365.2.f.c.274.2', 'twist_class_level': 1365, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48734554
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 135107988854676137, 'source_is_minimal': False, 'source_label': '6825.2.a.be.1.2', 'source_level': 6825, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 171136785873640105, 'target_is_minimal': False, 'target_label': '6825.2.a.bm.1.4', 'target_level': 6825, 'twist_class_label': '1365.2.f.c.274.2', 'twist_class_level': 1365, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4299350
{'charpoly_factorization': [[[-1, 1, 1], 2]], 'hecke_orbit_code': 135107988854676137, 'p': 2}
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id: 4299351
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 135107988854676137, 'p': 3}
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id: 4299352
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 135107988854676137, 'p': 5}
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id: 4299353
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 135107988854676137, 'p': 7}
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id: 4299354
{'charpoly_factorization': [[[61, -36, -14, 4, 1], 1]], 'hecke_orbit_code': 135107988854676137, 'p': 11}
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id: 4299355
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 135107988854676137, 'p': 13}
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id: 4299356
{'charpoly_factorization': [[[101, -2, -26, 2, 1], 1]], 'hecke_orbit_code': 135107988854676137, 'p': 17}
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id: 4299357
{'charpoly_factorization': [[[-19, -32, -11, 2, 1], 1]], 'hecke_orbit_code': 135107988854676137, 'p': 19}
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id: 4299358
{'charpoly_factorization': [[[-19, -18, 9, 8, 1], 1]], 'hecke_orbit_code': 135107988854676137, 'p': 23}
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id: 4299359
{'charpoly_factorization': [[[1, -4, 1, 6, 1], 1]], 'hecke_orbit_code': 135107988854676137, 'p': 29}
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id: 4299360
{'charpoly_factorization': [[[-19, 78, -66, 2, 1], 1]], 'hecke_orbit_code': 135107988854676137, 'p': 31}
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id: 4299361
{'charpoly_factorization': [[[5, 30, 30, 10, 1], 1]], 'hecke_orbit_code': 135107988854676137, 'p': 37}
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id: 4299362
{'charpoly_factorization': [[[5, 0, -10, 0, 1], 1]], 'hecke_orbit_code': 135107988854676137, 'p': 41}
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id: 4299363
{'charpoly_factorization': [[[-239, -658, 19, 18, 1], 1]], 'hecke_orbit_code': 135107988854676137, 'p': 43}
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id: 4299364
{'charpoly_factorization': [[[-239, -52, 34, 12, 1], 1]], 'hecke_orbit_code': 135107988854676137, 'p': 47}
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id: 4299365
{'charpoly_factorization': [[[5, 10, -10, -10, 1], 1]], 'hecke_orbit_code': 135107988854676137, 'p': 53}
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id: 4299366
{'charpoly_factorization': [[[241, 16, -49, -4, 1], 1]], 'hecke_orbit_code': 135107988854676137, 'p': 59}
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id: 4299367
{'charpoly_factorization': [[[305, 340, 130, 20, 1], 1]], 'hecke_orbit_code': 135107988854676137, 'p': 61}
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id: 4299368
{'charpoly_factorization': [[[305, -370, -110, 10, 1], 1]], 'hecke_orbit_code': 135107988854676137, 'p': 67}
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id: 4299369
{'charpoly_factorization': [[[-1919, -766, -29, 14, 1], 1]], 'hecke_orbit_code': 135107988854676137, 'p': 71}
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id: 4299370
{'charpoly_factorization': [[[-199, -86, 26, 14, 1], 1]], 'hecke_orbit_code': 135107988854676137, 'p': 73}
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id: 4299371
{'charpoly_factorization': [[[-499, 466, 211, 26, 1], 1]], 'hecke_orbit_code': 135107988854676137, 'p': 79}
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id: 4299372
{'charpoly_factorization': [[[-4579, -1932, -161, 12, 1], 1]], 'hecke_orbit_code': 135107988854676137, 'p': 83}
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id: 4299373
{'charpoly_factorization': [[[-95, -40, 75, -20, 1], 1]], 'hecke_orbit_code': 135107988854676137, 'p': 89}
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id: 4299374
{'charpoly_factorization': [[[-79, 26, 61, 16, 1], 1]], 'hecke_orbit_code': 135107988854676137, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 31, 'label': '6825.2.a.be', 'level': 6825, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 68595985
{'hecke_orbit_code': 135107988854676137, 'n': 1, 'trace_an': 4}
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id: 68595986
{'hecke_orbit_code': 135107988854676137, 'n': 2, 'trace_an': -2}
-
id: 68595987
{'hecke_orbit_code': 135107988854676137, 'n': 3, 'trace_an': 4}
-
id: 68595988
{'hecke_orbit_code': 135107988854676137, 'n': 4, 'trace_an': -2}
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id: 68595989
{'hecke_orbit_code': 135107988854676137, 'n': 5, 'trace_an': 0}
-
id: 68595990
{'hecke_orbit_code': 135107988854676137, 'n': 6, 'trace_an': -2}
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id: 68595991
{'hecke_orbit_code': 135107988854676137, 'n': 7, 'trace_an': 4}
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id: 68595992
{'hecke_orbit_code': 135107988854676137, 'n': 8, 'trace_an': 0}
-
id: 68595993
{'hecke_orbit_code': 135107988854676137, 'n': 9, 'trace_an': 4}
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id: 68595994
{'hecke_orbit_code': 135107988854676137, 'n': 10, 'trace_an': 0}
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id: 68595995
{'hecke_orbit_code': 135107988854676137, 'n': 11, 'trace_an': -4}
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id: 68595996
{'hecke_orbit_code': 135107988854676137, 'n': 12, 'trace_an': -2}
-
id: 68595997
{'hecke_orbit_code': 135107988854676137, 'n': 13, 'trace_an': 4}
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id: 68595998
{'hecke_orbit_code': 135107988854676137, 'n': 14, 'trace_an': -2}
-
id: 68595999
{'hecke_orbit_code': 135107988854676137, 'n': 15, 'trace_an': 0}
-
id: 68596000
{'hecke_orbit_code': 135107988854676137, 'n': 16, 'trace_an': -6}
-
id: 68596001
{'hecke_orbit_code': 135107988854676137, 'n': 17, 'trace_an': -2}
-
id: 68596002
{'hecke_orbit_code': 135107988854676137, 'n': 18, 'trace_an': -2}
-
id: 68596003
{'hecke_orbit_code': 135107988854676137, 'n': 19, 'trace_an': -2}
-
id: 68596004
{'hecke_orbit_code': 135107988854676137, 'n': 20, 'trace_an': 0}
-
id: 68596005
{'hecke_orbit_code': 135107988854676137, 'n': 21, 'trace_an': 4}
-
id: 68596006
{'hecke_orbit_code': 135107988854676137, 'n': 22, 'trace_an': 2}
-
id: 68596007
{'hecke_orbit_code': 135107988854676137, 'n': 23, 'trace_an': -8}
-
id: 68596008
{'hecke_orbit_code': 135107988854676137, 'n': 24, 'trace_an': 0}
-
id: 68596009
{'hecke_orbit_code': 135107988854676137, 'n': 25, 'trace_an': 0}
-
id: 68596010
{'hecke_orbit_code': 135107988854676137, 'n': 26, 'trace_an': -2}
-
id: 68596011
{'hecke_orbit_code': 135107988854676137, 'n': 27, 'trace_an': 4}
-
id: 68596012
{'hecke_orbit_code': 135107988854676137, 'n': 28, 'trace_an': -2}
-
id: 68596013
{'hecke_orbit_code': 135107988854676137, 'n': 29, 'trace_an': -6}
-
id: 68596014
{'hecke_orbit_code': 135107988854676137, 'n': 30, 'trace_an': 0}
-
id: 68596015
{'hecke_orbit_code': 135107988854676137, 'n': 31, 'trace_an': -2}
-
id: 68596016
{'hecke_orbit_code': 135107988854676137, 'n': 32, 'trace_an': 18}
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