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{'Nk2': 13376, 'analytic_conductor': 26.70197443591616, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [11, -1], [19, 1]], 'atkin_lehner_string': '+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3344, 1, [2927, 837, 2433, 705], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 3979184, 'field_disc_factorization': [[2, 4], [11, 1], [23, 1], [983, 1]], 'field_poly': [-12, 5, 18, -9, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-9, 23, -7, -11, 1, 1]], [5, [7, -45, 23, 9, -7, 1]], [7, [-2, -15, -4, 15, 8, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580967696, 'hecke_ring_generator_nbound': 3, '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': '3344.2.a.u', 'level': 3344, '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, 11, 19], 'level_radical': 418, 'minimal_twist': '1672.2.a.g', 'nf_label': '5.5.3979184.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{4}q^{3}+(1+\\beta _{1})q^{5}+(-2+\\beta _{1})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3344.2.a', 'trace_display': [0, -1, 7, -8], 'trace_hash': 1046736964694883625, 'trace_moments': 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mf_newspaces • Show schema
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{'ALdims': [10, 15, 12, 7, 14, 9, 9, 14], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [43, 50, 50, 48, 51, 43, 46, 48], 'Nk2': 13376, 'analytic_conductor': 26.70197443591616, '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': [3344, 1, [2927, 837, 2433, 705], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 469, 'dim': 90, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 33557776, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 7, 9], 'label': '3344.2.a', 'level': 3344, '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, 11, 19], 'level_radical': 418, 'mf_dim': 492, 'mf_new_dim': 90, 'num_forms': 28, 'plus_dim': 35, 'prim_orbit_index': 1, 'relative_dim': 90, 'sturm_bound': 960, 'trace_bound': 7, 'trace_display': [0, 0, 4, 0], 'traces': [90, 0, 0, 0, 4, 0, 0, 0, 90, 0, -6, 0, 4, 0, -12, 0, -4, 0, 0, 0, 16, 0, 12, 0, 86, 0, 12, 0, 20, 0, 0, 0, 0, 0, 0, 0, 20, 0, 24, 0, -4, 0, 0, 0, 36, 0, 8, 0, 90, 0, 40, 0, 4, 0, 8, 0, 0, 0, 40, 0, 20, 0, 40, 0, -24, 0, 0, 0, 16, 0, 16, 0, -20, 0, -12, 0, 0, 0, 0, 0, 74, 0, 40, 0, 24, 0, 24, 0, -36, 0, 16, 0, -48, 0, 0, 0, -4, 0, -18, 0, -12, 0, -36, 0, 32, 0, 0, 0, 20, 0, 60, 0, 28, 0, 4, 0, -28, 0, 8, 0, 90, 0, 104, 0, 24, 0, 64, 0, 32, 0, -48, 0, 0, 0, 44, 0, -4, 0, 0, 0, -32, 0, 0, 0, -40, 0, 104, 0, 20, 0, -48, 0, 52, 0, 84, 0, 20, 0, 40, 0, 8, 0, 32, 0, 0, 0, 0, 0, 102, 0, 0, 0, -44, 0, 144, 0, 32, 0, -72, 0, 68, 0, 80, 0, 0, 0, -12, 0, -16, 0, 68, 0, 12, 0, 184, 0, -44, 0, -8, 0, -16, 0, 48, 0, 104, 0, 128, 0, 0, 0, 136, 0, -128, 0, 24, 0, 32, 0, 104, 0, 24, 0, 128, 0, 94, 0, 80, 0, 20, 0, 0, 0, 20, 0, 48, 0, -80, 0, -48, 0, 12, 0, 76, 0, 20, 0, 12, 0, 16, 0, -116, 0, 0, 0, 0, 0, -60, 0, 32, 0, 20, 0, 152, 0, -40, 0, -204, 0, -92, 0, -24, 0, 104, 0, -30, 0, 36, 0, -36, 0, -36, 0, -24, 0, 0, 0, -192, 0, 134, 0, -4, 0, 4, 0, -132, 0, -24, 0, 24, 0, 16, 0, 72, 0, -72, 0, 16, 0, -32, 0, 8, 0, 28, 0, 64, 0, 20, 0, 0, 0, -56, 0, -24, 0, 108, 0, 8, 0, 0, 0, -72, 0, 100, 0, 44, 0, 12, 0, -180, 0, -32, 0, -72, 0, -72, 0, 200, 0, 116, 0, -96, 0, 28, 0, -196, 0, -48, 0, -72, 0, 90, 0, 0, 0, 40, 0, 52, 0, -212, 0, 64, 0, 100, 0, 28, 0, -96, 0, -32, 0, 0, 0, 48, 0, 32, 0, 56, 0, 20, 0, -72, 0, -16, 0, -96, 0, 52, 0, 32, 0, -108, 0, 64, 0, 116, 0, 0, 0, 44, 0, 92, 0, -80, 0, 144, 0, -112, 0, -192, 0, 68, 0, -216, 0, -140, 0, 96, 0, 32, 0, -24, 0, 44, 0, -184, 0, 0, 0, -72, 0, -30, 0, -28, 0, -88, 0, -144, 0, -84, 0, 0, 0, -144, 0, 24, 0, 108, 0, 0, 0, 36, 0, 68, 0, 8, 0, -4, 0, -80, 0, -228, 0, 0, 0, 0, 0, -188, 0, -64, 0, -40, 0, -448, 0, -120, 0, 0, 0, -112, 0, -96, 0, -24, 0, 28, 0, -16, 0, 128, 0, -64, 0, -216, 0, -8, 0, -112, 0, 68, 0, 248, 0, 24, 0, 96, 0, 0, 0, -184, 0, 12, 0, 144, 0, -192, 0, 120, 0, 186, 0, -36, 0, 8, 0, -216, 0, -136, 0, -38, 0, 116, 0, -116, 0, -56, 0, 112, 0, 164, 0, 52, 0, 64, 0, -52, 0, -44, 0, 112, 0, 0, 0, -184, 0, -104, 0, 208, 0, 12, 0, -120, 0, 64, 0, -80, 0, -36, 0, 216, 0, 80, 0, -36, 0, -168, 0, -136, 0, 0, 0, -40, 0, -76, 0, 16, 0, -32, 0, -180, 0, -68, 0, -196, 0, 4, 0, 224, 0, -88, 0, 16, 0, -44, 0, -208, 0, -68, 0, -36, 0, 96, 0, -224, 0, 34, 0, -12, 0, 56, 0, -52, 0, 120, 0, 88, 0, -76, 0, 20, 0, 44, 0, 44, 0, -304, 0, 76, 0, 0, 0, -48, 0, 68, 0, -40, 0, -156, 0, -112, 0, -140, 0, -88, 0, 0, 0, 184, 0, 64, 0, 36, 0, -36, 0, 80, 0, 100, 0, 176, 0, 8, 0, -20, 0, -40, 0, 100, 0, 0, 0, -4, 0, 0, 0, 0, 0, -120, 0, -64, 0, -92, 0, 0, 0, -128, 0, -32, 0, 132, 0, 192, 0, -8, 0, 0, 0, -192, 0, 180, 0, -80, 0, -8, 0, 204, 0, 36, 0, -102, 0, -64, 0, -60, 0, -116, 0, 0, 0, -168, 0, 0, 0, -328, 0, -88, 0, 120, 0, 64, 0, -112, 0, -200, 0, 56, 0, -60, 0, -60, 0, -228, 0, 88, 0, -280, 0, -120, 0, 12, 0, 48, 0, -140, 0, -100, 0, -208, 0, -60, 0, 0, 0, 32, 0, -144, 0, -96, 0, -80, 0, -144, 0, -24, 0, -344, 0, -44, 0, 64, 0, -268, 0, -60, 0, -288, 0, -144, 0, -100, 0, -128, 0, -160, 0, 0, 0, 32, 0, 232, 0, -140, 0, 52, 0, -72, 0, 64, 0, 4, 0, 64, 0, -172, 0, -72, 0, -168, 0, -128, 0, 70, 0, -160, 0, -284, 0, 0, 0, 16, 0, 12, 0, 132, 0, 0, 0, 108, 0, 20, 0, 56, 0, 4, 0, -24, 0, -64, 0, 0, 0, 72, 0, -172, 0, -400, 0, -172, 0, 24, 0, 84, 0, 40, 0, -200, 0, 136, 0, -16, 0, -54, 0, 16, 0, -228, 0, -8, 0, -144, 0, 248, 0, -216, 0, -96, 0, 124, 0, 68, 0, -164, 0, 0, 0, 200, 0, -216, 0, -40, 0, 32, 0, -64, 0, 156, 0, -564, 0, -156, 0, 0, 0, -128, 0, 56, 0, 108, 0, -92, 0, 196, 0, 80, 0, 16, 0, -300, 0, -8, 0, 60, 0, 60, 0, 76, 0, 40, 0, -24, 0, 250, 0, -264, 0, -8, 0, -32, 0, -24, 0, 176, 0, 48, 0, 464, 0, -132, 0, 80, 0, 228, 0, -88, 0, 120, 0, 32, 0, -32, 0, -228, 0, 32, 0, -176, 0, -188, 0, -36, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48316850
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 90071992580967696, 'source_is_minimal': False, 'source_label': '3344.2.a.u.1.5', 'source_level': 3344, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 90071992580967696, 'target_is_minimal': False, 'target_label': '3344.2.a.u.1.5', 'target_level': 3344, 'twist_class_label': '1672.2.a.g.1.1', 'twist_class_level': 1672, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48316851
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 90071992580967696, 'source_is_minimal': False, 'source_label': '3344.2.a.u.1.5', 'source_level': 3344, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797779080, 'target_is_minimal': True, 'target_label': '1672.2.a.g.1.1', 'target_level': 1672, 'twist_class_label': '1672.2.a.g.1.1', 'twist_class_level': 1672, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3133500
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 90071992580967696, 'p': 2}
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id: 3133501
{'charpoly_factorization': [[[-9, 23, -7, -11, 1, 1], 1]], 'hecke_orbit_code': 90071992580967696, 'p': 3}
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id: 3133502
{'charpoly_factorization': [[[7, -45, 23, 9, -7, 1], 1]], 'hecke_orbit_code': 90071992580967696, 'p': 5}
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id: 3133503
{'charpoly_factorization': [[[-2, -15, -4, 15, 8, 1], 1]], 'hecke_orbit_code': 90071992580967696, 'p': 7}
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id: 3133504
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 90071992580967696, 'p': 11}
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id: 3133505
{'charpoly_factorization': [[[296, 311, 48, -29, -4, 1], 1]], 'hecke_orbit_code': 90071992580967696, 'p': 13}
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id: 3133506
{'charpoly_factorization': [[[-2, 1], 5]], 'hecke_orbit_code': 90071992580967696, 'p': 17}
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id: 3133507
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 90071992580967696, 'p': 19}
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id: 3133508
{'charpoly_factorization': [[[-144, 176, -20, -32, 5, 1], 1]], 'hecke_orbit_code': 90071992580967696, 'p': 23}
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id: 3133509
{'charpoly_factorization': [[[2224, -2361, 476, 37, -16, 1], 1]], 'hecke_orbit_code': 90071992580967696, 'p': 29}
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id: 3133510
{'charpoly_factorization': [[[18999, 5699, -325, -161, 1, 1], 1]], 'hecke_orbit_code': 90071992580967696, 'p': 31}
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id: 3133511
{'charpoly_factorization': [[[-16, 80, -80, -40, 1, 1], 1]], 'hecke_orbit_code': 90071992580967696, 'p': 37}
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id: 3133512
{'charpoly_factorization': [[[12148, -5085, -124, 231, -28, 1], 1]], 'hecke_orbit_code': 90071992580967696, 'p': 41}
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id: 3133513
{'charpoly_factorization': [[[-874, -1035, -416, -53, 4, 1], 1]], 'hecke_orbit_code': 90071992580967696, 'p': 43}
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id: 3133514
{'charpoly_factorization': [[[3712, 3728, 176, -116, -4, 1], 1]], 'hecke_orbit_code': 90071992580967696, 'p': 47}
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id: 3133515
{'charpoly_factorization': [[[-2, 1], 5]], 'hecke_orbit_code': 90071992580967696, 'p': 53}
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id: 3133516
{'charpoly_factorization': [[[3856, 1584, -100, -84, -1, 1], 1]], 'hecke_orbit_code': 90071992580967696, 'p': 59}
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id: 3133517
{'charpoly_factorization': [[[107968, -656, -3664, -192, 16, 1], 1]], 'hecke_orbit_code': 90071992580967696, 'p': 61}
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id: 3133518
{'charpoly_factorization': [[[-983, 983, 133, -97, -9, 1], 1]], 'hecke_orbit_code': 90071992580967696, 'p': 67}
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id: 3133519
{'charpoly_factorization': [[[222813, 31135, -2605, -363, 7, 1], 1]], 'hecke_orbit_code': 90071992580967696, 'p': 71}
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id: 3133520
{'charpoly_factorization': [[[-1024, 176, 976, -140, -8, 1], 1]], 'hecke_orbit_code': 90071992580967696, 'p': 73}
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id: 3133521
{'charpoly_factorization': [[[32, 176, -88, -28, 6, 1], 1]], 'hecke_orbit_code': 90071992580967696, 'p': 79}
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id: 3133522
{'charpoly_factorization': [[[17222, 10021, -880, -229, 4, 1], 1]], 'hecke_orbit_code': 90071992580967696, 'p': 83}
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id: 3133523
{'charpoly_factorization': [[[52224, -18176, 1088, 232, -31, 1], 1]], 'hecke_orbit_code': 90071992580967696, 'p': 89}
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id: 3133524
{'charpoly_factorization': [[[-120176, 4048, 4036, -280, -13, 1], 1]], 'hecke_orbit_code': 90071992580967696, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '3344.2.a.u', 'level': 3344, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 64279129
{'hecke_orbit_code': 90071992580967696, 'n': 1, 'trace_an': 5}
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id: 64279130
{'hecke_orbit_code': 90071992580967696, 'n': 2, 'trace_an': 0}
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id: 64279131
{'hecke_orbit_code': 90071992580967696, 'n': 3, 'trace_an': -1}
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id: 64279132
{'hecke_orbit_code': 90071992580967696, 'n': 4, 'trace_an': 0}
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id: 64279133
{'hecke_orbit_code': 90071992580967696, 'n': 5, 'trace_an': 7}
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id: 64279134
{'hecke_orbit_code': 90071992580967696, 'n': 6, 'trace_an': 0}
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id: 64279135
{'hecke_orbit_code': 90071992580967696, 'n': 7, 'trace_an': -8}
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id: 64279136
{'hecke_orbit_code': 90071992580967696, 'n': 8, 'trace_an': 0}
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id: 64279137
{'hecke_orbit_code': 90071992580967696, 'n': 9, 'trace_an': 8}
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id: 64279138
{'hecke_orbit_code': 90071992580967696, 'n': 10, 'trace_an': 0}
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id: 64279139
{'hecke_orbit_code': 90071992580967696, 'n': 11, 'trace_an': 5}
-
id: 64279140
{'hecke_orbit_code': 90071992580967696, 'n': 12, 'trace_an': 0}
-
id: 64279141
{'hecke_orbit_code': 90071992580967696, 'n': 13, 'trace_an': 4}
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id: 64279142
{'hecke_orbit_code': 90071992580967696, 'n': 14, 'trace_an': 0}
-
id: 64279143
{'hecke_orbit_code': 90071992580967696, 'n': 15, 'trace_an': -1}
-
id: 64279144
{'hecke_orbit_code': 90071992580967696, 'n': 16, 'trace_an': 0}
-
id: 64279145
{'hecke_orbit_code': 90071992580967696, 'n': 17, 'trace_an': 10}
-
id: 64279146
{'hecke_orbit_code': 90071992580967696, 'n': 18, 'trace_an': 0}
-
id: 64279147
{'hecke_orbit_code': 90071992580967696, 'n': 19, 'trace_an': -5}
-
id: 64279148
{'hecke_orbit_code': 90071992580967696, 'n': 20, 'trace_an': 0}
-
id: 64279149
{'hecke_orbit_code': 90071992580967696, 'n': 21, 'trace_an': 2}
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