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{'Nk2': 33856, 'analytic_conductor': 67.58538027081171, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [23, -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': [8464, 1, [7407, 2117, 6353], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 14641, 'field_disc_factorization': [[11, 4]], 'field_poly': [-1, 3, 3, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 22, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [1, 4, 2, -5, -2, 1]], [5, [-23, -32, 4, 19, 8, 1]], [7, [1, -2, -5, 13, -7, 1]], [13, [-1, 9, -17, 2, 7, 1]]], 'hecke_orbit': 49, 'hecke_orbit_code': 216172782147346704, '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': '8464.2.a.bw', 'level': 8464, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 23], 'level_radical': 46, 'minimal_twist': '46.2.c.a', 'nf_label': '5.5.14641.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(\\beta _{1}-\\beta _{4})q^{3}+(-2+\\beta _{1}+\\beta _{3})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8464.2.a', 'trace_display': [0, 2, -8, 7], 'trace_hash': 2146661566163372963, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 1, 0, 0, -1], [0, 0, 0, 0, 0], [-2, 1, 0, 1, 0], [0, 0, 0, 0, 0], [1, 0, -1, 1, 0], [0, 0, 0, 0, 0], [-1, 2, -1, -1, -2], [0, 0, 0, 0, 0], [1, 1, 0, 1, 2], [0, 0, 0, 0, 0], [-2, 0, 0, 1, -2], [0, 0, 0, 0, 0], [1, -2, 1, 0, 3], [0, 0, 0, 0, 0], [-4, 1, -3, 2, -1], [0, 0, 0, 0, 0], [2, -1, 0, 1, -2], [0, 0, 0, 0, 0], [-1, 0, 1, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [2, -3, 2, -3, 1], [0, 0, 0, 0, 0], [3, 1, -3, -2, -3], [0, 0, 0, 0, 0], [1, -1, 1, -4, 3], [0, 0, 0, 0, 0], [2, -5, 3, -5, 3], [0, 0, 0, 0, 0], [-1, -1, 3, 2, 2], [0, 0, 0, 0, 0], [-2, 1, 1, 0, -1], [0, 0, 0, 0, 0], [0, -4, 0, -5, 5], [0, 0, 0, 0, 0], [2, -1, -1, -2, 2], [0, 0, 0, 0, 0], [3, -2, 7, -2, 3], [0, 0, 0, 0, 0], [3, 0, 3, -2, -1], [0, 0, 0, 0, 0], [2, -7, 3, 0, 5], [0, 0, 0, 0, 0], [-1, -4, 2, 0, -2], [0, 0, 0, 0, 0], [-5, 1, -5, 5, -2], [0, 0, 0, 0, 0], [-1, -4, 1, -1, 3], [0, 0, 0, 0, 0], [3, -6, 6, -3, 6], [0, 0, 0, 0, 0], [3, 0, 4, 0, -3], [0, 0, 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29, -45, 32, -7], [-6, -16, 1, 17, 16], [17, -38, 12, 12, 3], [-34, 30, -4, 12, -32], [9, 6, 11, -27, 23], [40, -6, 15, -28, 6], [-22, -36, 21, -19, 8], [3, 4, 35, 2, -6], [-17, 36, -6, 30, 9], [-23, -2, -12, 4, 1], [-6, -31, 34, -30, 2], [18, -14, -3, 14, 5], [-41, -4, -4, -10, -27], [26, 6, 27, -17, -8], [31, -1, 11, 17, -20], [16, -4, -3, -27, -9], [18, 30, -15, 10, 16], [-32, 37, 9, 30, -15], [-3, 2, -8, -36, 23], [1, -17, -7, 4, 1], [26, -20, 20, -7, -15], [1, 8, 20, -5, -9], [7, -34, 16, -8, 25], [28, 8, 0, 14, -10], [39, -13, 25, -7, 16], [10, 23, 4, -27, 10], [31, -35, 56, -37, 45], [0, -18, 12, -8, -6], [36, -3, 29, 0, -19], [4, 30, 11, -10, -13], [31, 17, 1, 8, 3], [-36, -4, -41, 28, -8], [-4, -22, 15, -41, 10], [-9, 12, -33, 11, -2], [-17, 13, -6, 43, 4], [2, 5, 15, -9, 9], [11, -35, 9, -39, 3], [-26, 32, -38, 29, -27], [11, -7, -11, 28, 9], [24, 10, 2, -11, 35], [28, -41, 29, -24, 39], [15, -14, 25, -14, 34], [7, 4, 13, 24, 6], [13, 12, -16, 23, 31], [25, -1, -6, -16, -10], [-45, 29, -27, 33, -50], [-10, 64, -27, 46, -33], [-68, -5, 7, -4, -11], [-5, -18, 5, -29, -11], [-3, 39, -19, 15, -10], [-40, -24, 16, -3, -9], [-14, -14, -5, -14, 24], [-10, -16, 14, -4, -31], [-39, 14, -21, 30, -21], [-21, -18, -39, 19, 0], [-22, 40, -2, 37, -36], [2, 41, -3, -6, 1], [7, -17, 18, -14, 30], [-11, 0, -23, 5, -3], [26, 11, -15, 13, 12], [-9, 19, -24, 36, -49], [45, -1, 41, -39, 26], [-2, 47, -27, 20, -27], [-22, -8, -18, 6, 19], [32, -66, 40, -60, 67], [-28, -44, 24, -13, 6], [-42, 25, -26, 41, 2], [-4, 25, 7, -20, 24], [-26, 3, -3, -2, 24], [16, -33, 20, -38, 0], [15, 12, -16, -16, -21], [2, -7, -11, 14, 15], [-40, -4, 6, 32, -5], [30, -20, 10, -6, 46], [-39, 22, -43, 34, -29], [-3, -3, 15, 16, -19], [2, -15, -14, 8, 32], [36, -9, -9, -6, -8], [-39, 27, -40, 22, -20], [-38, 16, -3, 34, -18], [34, 7, -25, -7, 8], [46, -17, 9, 18, 38], [-4, -12, 13, -10, 40], [-49, 29, -36, 13, -45], [35, -3, -35, 9, -14], [-5, 40, -23, 16, -33], [2, -13, 41, -10, 20], [-8, -4, -12, 10, 14], [21, -11, 25, 1, 4], [26, 2, 20, -28, -18], [-29, 15, -29, -24, -11], [43, -28, 0, -3, -4], [-47, 10, -22, 45, -22], [-46, -1, -6, -10, 21], [-6, 0, -2, 33, -12], [2, -43, 3, 0, -17], [15, -8, 39, -8, -13], [14, -14, 11, 20, 20], [28, -5, 38, -29, -2]], 'char_orbit_index': 1, 'field_poly': [-1, 3, 3, -4, -1, 1], 'hecke_orbit_code': 216172782147346704, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [2, 0, 1, 0, 0], [0, 3, 0, 1, 0], [6, 0, 4, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [-2, 0, 1, 0, 0], [0, -3, 0, 1, 0], [2, 0, -4, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 5, 'label': '8464.2.a.bw', 'level': 8464, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [60, 66, 61, 55], 'ALdims_eis_new': [0, 0, 10, 11], 'ALdims_eis_old': [35, 36, 26, 25], 'ALdims_old': [193, 198, 203, 197], 'Nk2': 33856, 'analytic_conductor': 67.58538027081171, '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': [8464, 1, [7407, 2117, 6353], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1033, 'dim': 242, 'eis_dim': 143, 'eis_new_dim': 21, 'hecke_cutter_primes': [3, 5, 7, 13], 'hecke_orbit_code': 33562896, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 8, 8, 8, 10, 10, 12, 15, 15, 15, 15], 'label': '8464.2.a', 'level': 8464, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 23], 'level_radical': 46, 'mf_dim': 1176, 'mf_new_dim': 263, 'num_forms': 62, 'plus_dim': 115, 'prim_orbit_index': 1, 'relative_dim': 242, 'sturm_bound': 2208, 'trace_bound': 13, 'trace_display': [0, -2, 2, -4], 'traces': [242, 0, -2, 0, 2, 0, -4, 0, 224, 0, 0, 0, 2, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 204, 0, -8, 0, 2, 0, -10, 0, 8, 0, 0, 0, 10, 0, -20, 0, -6, 0, 0, 0, 10, 0, 44, 0, 176, 0, -4, 0, 10, 0, 24, 0, -8, 0, -2, 0, 18, 0, -32, 0, -12, 0, 8, 0, 0, 0, 6, 0, 2, 0, -6, 0, 8, 0, -28, 0, 162, 0, 20, 0, 12, 0, 40, 0, -6, 0, -4, 0, -22, 0, -8, 0, -6, 0, 8, 0, 18, 0, 36, 0, 24, 0, 28, 0, 10, 0, 24, 0, 10, 0, 0, 0, 34, 0, 36, 0, 136, 0, 16, 0, 12, 0, -30, 0, 0, 0, 34, 0, -16, 0, -16, 0, -22, 0, -32, 0, 24, 0, -16, 0, -20, 0, 8, 0, -14, 0, 10, 0, 2, 0, 48, 0, -22, 0, -28, 0, 0, 0, -14, 0, 24, 0, -22, 0, 92, 0, 56, 0, 18, 0, -52, 0, -24, 0, -66, 0, -22, 0, 12, 0, -10, 0, 16, 0, -8, 0, 16, 0, -14, 0, -88, 0, 2, 0, 0, 0, 0, 0, -52, 0, -28, 0, 0, 0, 0, 0, -46, 0, -8, 0, -12, 0, -16, 0, 44, 0, 4, 0, -98, 0, 162, 0, 12, 0, -30, 0, 86, 0, -6, 0, 16, 0, -48, 0, 54, 0, 26, 0, -6, 0, -6, 0, -68, 0, 48, 0, 76, 0, 0, 0, 110, 0, 2, 0, -4, 0, 10, 0, -20, 0, -12, 0, 96, 0, -62, 0, 62, 0, 24, 0, -40, 0, -28, 0, -26, 0, 26, 0, -16, 0, -66, 0, 60, 0, 52, 0, 28, 0, -62, 0, 104, 0, 48, 0, 0, 0, -16, 0, 100, 0, -12, 0, 2, 0, -64, 0, 26, 0, -14, 0, 160, 0, 66, 0, -56, 0, 32, 0, -98, 0, 22, 0, -8, 0, 80, 0, -94, 0, 42, 0, 8, 0, 18, 0, 124, 0, 32, 0, -32, 0, 0, 0, 38, 0, -22, 0, -12, 0, -6, 0, 88, 0, -56, 0, -76, 0, 64, 0, -74, 0, -20, 0, 44, 0, 20, 0, 206, 0, 18, 0, 8, 0, 12, 0, -72, 0, -80, 0, -40, 0, 24, 0, -192, 0, -6, 0, 0, 0, 32, 0, -92, 0, -22, 0, -24, 0, 82, 0, 12, 0, -6, 0, -132, 0, -54, 0, 64, 0, 16, 0, 94, 0, 0, 0, 64, 0, 82, 0, 216, 0, -10, 0, 28, 0, 8, 0, -104, 0, -62, 0, 16, 0, 0, 0, 30, 0, 82, 0, 86, 0, 4, 0, -84, 0, 74, 0, 136, 0, 48, 0, 84, 0, -14, 0, -124, 0, -44, 0, -34, 0, -8, 0, -36, 0, 24, 0, 104, 0, 64, 0, 36, 0, -14, 0, 108, 0, -52, 0, 0, 0, -114, 0, 130, 0, 24, 0, 14, 0, 124, 0, 190, 0, -8, 0, 142, 0, -112, 0, -68, 0, -60, 0, -84, 0, -86, 0, -36, 0, -72, 0, -164, 0, -64, 0, 12, 0, -30, 0, 100, 0, 8, 0, -76, 0, 0, 0, -14, 0, 36, 0, -20, 0, -32, 0, 56, 0, 74, 0, -192, 0, -44, 0, -86, 0, -30, 0, 68, 0, -70, 0, 96, 0, -62, 0, 32, 0, -58, 0, -32, 0, 60, 0, -76, 0, -54, 0, -116, 0, -16, 0, 0, 0, -70, 0, -152, 0, 8, 0, -32, 0, -92, 0, -102, 0, 64, 0, -220, 0, 50, 0, 72, 0, -64, 0, 180, 0, 18, 0, 104, 0, -62, 0, 142, 0, 96, 0, -44, 0, 26, 0, -176, 0, 26, 0, 16, 0, 0, 0, 0, 0, -82, 0, 218, 0, -52, 0, -128, 0, -72, 0, 176, 0, 10, 0, 138, 0, 26, 0, -96, 0, -70, 0, -110, 0, 16, 0, -44, 0, -22, 0, 200, 0, -70, 0, 44, 0, 26, 0, 244, 0, 96, 0, 0, 0, -88, 0, 144, 0, -62, 0, -16, 0, -94, 0, 0, 0, -8, 0, 170, 0, 36, 0, -96, 0, 68, 0, -36, 0, -58, 0, -56, 0, 76, 0, -30, 0, 34, 0, -64, 0, 40, 0, 112, 0, 58, 0, -80, 0, 0, 0, 66, 0, -56, 0, -58, 0, -8, 0, 184, 0, -58, 0, -232, 0, 80, 0, -104, 0, 42, 0, 104, 0, -30, 0, 74, 0, 112, 0, 100, 0, -28, 0, -192, 0, -48, 0, 48, 0, 48, 0, -168, 0, 98, 0, 0, 0, 2, 0, -128, 0, 84, 0, 222, 0, 90, 0, -12, 0, 42, 0, -238, 0, -120, 0, 148, 0, 72, 0, 222, 0, -92, 0, 32, 0, 48, 0, 232, 0, -116, 0, 32, 0, 42, 0, -124, 0, -102, 0, 96, 0, 0, 0, -32, 0, 74, 0, -10, 0, 16, 0, -80, 0, 48, 0, 272, 0, 66, 0, 110, 0, -16, 0, -24, 0, 20, 0, -92, 0, -38, 0, -16, 0, -82, 0, 60, 0, 12, 0, -36, 0, 182, 0, 260, 0, -112, 0, 0, 0, 90, 0, 180, 0, -70, 0, 22, 0, 152, 0, 90, 0, 36, 0, 246, 0, -96, 0, -120, 0, -78, 0, -230, 0, 10, 0, -104, 0, -126, 0, -78, 0, -32, 0, 42, 0, -64, 0, 136, 0, -128, 0, -24, 0, 0, 0, 4, 0, 68, 0, -64, 0, 12, 0, 100, 0, -236, 0, -204, 0, -104, 0, 182, 0, -24, 0, 108, 0, -86, 0, 72, 0, 30, 0, 24, 0, 2, 0, -196, 0, 88, 0, -136, 0, -54, 0, -264, 0, -94, 0, 0, 0, -78, 0, -90, 0, -20, 0, 64, 0, -142, 0, 0, 0, -16, 0, -208, 0, 0, 0, 112, 0, -92, 0, 100, 0, 72, 0, 36, 0, -152, 0, 270, 0, 74, 0, 32, 0, -78, 0, -124, 0, 60, 0, 100, 0, 0, 0, 22, 0, -96, 0, 124, 0, 66, 0, -184, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1393044
{'conductor': 92, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 49, 'source_is_minimal': False, 'source_label': '8464.2.a.bw', 'source_level': 8464, 'target_char_orbit': 3, 'target_dim': 10, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '46.2.c.a', 'target_level': 46, 'twist_class_label': '46.2.c.a', 'twist_class_level': 46, 'twisting_char_label': '92.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1393045
{'conductor': 23, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 49, 'source_is_minimal': False, 'source_label': '8464.2.a.bw', 'source_level': 8464, 'target_char_orbit': 13, 'target_dim': 10, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '368.2.m.b', 'target_level': 368, 'twist_class_label': '46.2.c.a', 'twist_class_level': 46, 'twisting_char_label': '23.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1393046
{'conductor': 276, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 49, 'source_is_minimal': False, 'source_label': '8464.2.a.bw', 'source_level': 8464, 'target_char_orbit': 9, 'target_dim': 10, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '414.2.i.f', 'target_level': 414, 'twist_class_label': '46.2.c.a', 'twist_class_level': 46, 'twisting_char_label': '276.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1393047
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 49, 'source_is_minimal': False, 'source_label': '8464.2.a.bw', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1058.2.a.l', 'target_level': 1058, 'twist_class_label': '46.2.c.a', 'twist_class_level': 46, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1393048
{'conductor': 92, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 49, 'source_is_minimal': False, 'source_label': '8464.2.a.bw', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1058.2.a.m', 'target_level': 1058, 'twist_class_label': '46.2.c.a', 'twist_class_level': 46, 'twisting_char_label': '92.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1393049
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 49, 'source_is_minimal': False, 'source_label': '8464.2.a.bw', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 49, 'target_is_minimal': False, 'target_label': '8464.2.a.bw', 'target_level': 8464, 'twist_class_label': '46.2.c.a', 'twist_class_level': 46, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1393050
{'conductor': 23, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 49, 'source_is_minimal': False, 'source_label': '8464.2.a.bw', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 50, 'target_is_minimal': False, 'target_label': '8464.2.a.bx', 'target_level': 8464, 'twist_class_label': '46.2.c.a', 'twist_class_level': 46, 'twisting_char_label': '23.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1393051
{'conductor': 276, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 49, 'source_is_minimal': False, 'source_label': '8464.2.a.bw', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '9522.2.a.bp', 'target_level': 9522, 'twist_class_label': '46.2.c.a', 'twist_class_level': 46, 'twisting_char_label': '276.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1393052
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 49, 'source_is_minimal': False, 'source_label': '8464.2.a.bw', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '9522.2.a.bu', 'target_level': 9522, 'twist_class_label': '46.2.c.a', 'twist_class_level': 46, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4761900
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 216172782147346704, 'p': 2}
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id: 4761901
{'charpoly_factorization': [[[1, 4, 2, -5, -2, 1], 1]], 'hecke_orbit_code': 216172782147346704, 'p': 3}
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id: 4761902
{'charpoly_factorization': [[[-23, -32, 4, 19, 8, 1], 1]], 'hecke_orbit_code': 216172782147346704, 'p': 5}
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id: 4761903
{'charpoly_factorization': [[[1, -2, -5, 13, -7, 1], 1]], 'hecke_orbit_code': 216172782147346704, 'p': 7}
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id: 4761904
{'charpoly_factorization': [[[-331, 148, 89, -23, -5, 1], 1]], 'hecke_orbit_code': 216172782147346704, 'p': 11}
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id: 4761905
{'charpoly_factorization': [[[-1, 9, -17, 2, 7, 1], 1]], 'hecke_orbit_code': 216172782147346704, 'p': 13}
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id: 4761906
{'charpoly_factorization': [[[-463, -513, -90, 39, 13, 1], 1]], 'hecke_orbit_code': 216172782147346704, 'p': 17}
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id: 4761907
{'charpoly_factorization': [[[-67, -228, 80, 29, -12, 1], 1]], 'hecke_orbit_code': 216172782147346704, 'p': 19}
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id: 4761908
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 216172782147346704, 'p': 23}
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id: 4761909
{'charpoly_factorization': [[[67, -101, -181, -53, 4, 1], 1]], 'hecke_orbit_code': 216172782147346704, 'p': 29}
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id: 4761910
{'charpoly_factorization': [[[4531, 1160, -417, -78, 6, 1], 1]], 'hecke_orbit_code': 216172782147346704, 'p': 31}
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id: 4761911
{'charpoly_factorization': [[[-7061, -7787, -1797, -69, 14, 1], 1]], 'hecke_orbit_code': 216172782147346704, 'p': 37}
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id: 4761912
{'charpoly_factorization': [[[13133, 4843, -118, -147, -1, 1], 1]], 'hecke_orbit_code': 216172782147346704, 'p': 41}
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id: 4761913
{'charpoly_factorization': [[[-2651, -187, 352, -11, -11, 1], 1]], 'hecke_orbit_code': 216172782147346704, 'p': 43}
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id: 4761914
{'charpoly_factorization': [[[529, -1679, -922, -82, 9, 1], 1]], 'hecke_orbit_code': 216172782147346704, 'p': 47}
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id: 4761915
{'charpoly_factorization': [[[-5589, 3888, -351, -144, 6, 1], 1]], 'hecke_orbit_code': 216172782147346704, 'p': 53}
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id: 4761916
{'charpoly_factorization': [[[67, 89, -70, -58, 3, 1], 1]], 'hecke_orbit_code': 216172782147346704, 'p': 59}
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id: 4761917
{'charpoly_factorization': [[[-18701, -13009, -2774, -137, 13, 1], 1]], 'hecke_orbit_code': 216172782147346704, 'p': 61}
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id: 4761918
{'charpoly_factorization': [[[-9701, 3710, 767, -114, -10, 1], 1]], 'hecke_orbit_code': 216172782147346704, 'p': 67}
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id: 4761919
{'charpoly_factorization': [[[2881, 7822, -777, -168, 8, 1], 1]], 'hecke_orbit_code': 216172782147346704, 'p': 71}
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id: 4761920
{'charpoly_factorization': [[[89, -46, -126, -31, 4, 1], 1]], 'hecke_orbit_code': 216172782147346704, 'p': 73}
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id: 4761921
{'charpoly_factorization': [[[131, 328, 291, 112, 18, 1], 1]], 'hecke_orbit_code': 216172782147346704, 'p': 79}
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id: 4761922
{'charpoly_factorization': [[[25829, 14249, 57, -247, -2, 1], 1]], 'hecke_orbit_code': 216172782147346704, 'p': 83}
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id: 4761923
{'charpoly_factorization': [[[-5171, -4639, -1251, -81, 10, 1], 1]], 'hecke_orbit_code': 216172782147346704, 'p': 89}
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id: 4761924
{'charpoly_factorization': [[[2243, 588, -681, -1, 17, 1], 1]], 'hecke_orbit_code': 216172782147346704, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 49, 'label': '8464.2.a.bw', 'level': 8464, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71471137
{'hecke_orbit_code': 216172782147346704, 'n': 1, 'trace_an': 5}
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id: 71471138
{'hecke_orbit_code': 216172782147346704, 'n': 2, 'trace_an': 0}
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id: 71471139
{'hecke_orbit_code': 216172782147346704, 'n': 3, 'trace_an': 2}
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id: 71471140
{'hecke_orbit_code': 216172782147346704, 'n': 4, 'trace_an': 0}
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id: 71471141
{'hecke_orbit_code': 216172782147346704, 'n': 5, 'trace_an': -8}
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id: 71471142
{'hecke_orbit_code': 216172782147346704, 'n': 6, 'trace_an': 0}
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id: 71471143
{'hecke_orbit_code': 216172782147346704, 'n': 7, 'trace_an': 7}
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id: 71471144
{'hecke_orbit_code': 216172782147346704, 'n': 8, 'trace_an': 0}
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id: 71471145
{'hecke_orbit_code': 216172782147346704, 'n': 9, 'trace_an': -1}
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id: 71471146
{'hecke_orbit_code': 216172782147346704, 'n': 10, 'trace_an': 0}
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id: 71471147
{'hecke_orbit_code': 216172782147346704, 'n': 11, 'trace_an': 5}
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id: 71471148
{'hecke_orbit_code': 216172782147346704, 'n': 12, 'trace_an': 0}
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id: 71471149
{'hecke_orbit_code': 216172782147346704, 'n': 13, 'trace_an': -7}
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id: 71471150
{'hecke_orbit_code': 216172782147346704, 'n': 14, 'trace_an': 0}
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id: 71471151
{'hecke_orbit_code': 216172782147346704, 'n': 15, 'trace_an': -1}
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id: 71471152
{'hecke_orbit_code': 216172782147346704, 'n': 16, 'trace_an': 0}
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id: 71471153
{'hecke_orbit_code': 216172782147346704, 'n': 17, 'trace_an': -13}
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