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{'Nk2': 33856, 'analytic_conductor': 67.58538027081171, 'analytic_rank': 0, '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, -7, -13, -5, 2, 1]], [5, [-23, -35, -6, 13, 7, 1]], [7, [23, -32, -4, 19, -8, 1]], [13, [-1, -2, 38, -9, -4, 1]]], 'hecke_orbit': 45, 'hecke_orbit_code': 198158383637864720, '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.bs', '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': '23.2.c.a', 'nf_label': '5.5.14641.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(\\beta _{2}+\\beta _{4})q^{3}+(-1-\\beta _{1}+\\beta _{2})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, -7, 8], 'trace_hash': 226212568558790148, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.098', '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, 0, 1, 0, 1], [0, 0, 0, 0, 0], [-1, -1, 1, 0, 0], [0, 0, 0, 0, 0], [2, 0, 1, -1, 0], [0, 0, 0, 0, 0], [-1, 2, 0, 1, -1], [0, 0, 0, 0, 0], [3, -1, 0, 0, 1], [0, 0, 0, 0, 0], [2, -2, 1, -1, 2], [0, 0, 0, 0, 0], [0, 1, -2, 0, -2], [0, 0, 0, 0, 0], [-3, 1, 0, -1, 1], [0, 0, 0, 0, 0], [2, 0, 2, 2, 0], [0, 0, 0, 0, 0], [0, 0, 1, 2, 2], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, -1, -2, 1], [0, 0, 0, 0, 0], [2, 0, -1, 1, -1], [0, 0, 0, 0, 0], [2, -2, 2, 2, 1], [0, 0, 0, 0, 0], [0, -2, 2, -1, 0], [0, 0, 0, 0, 0], [0, 1, 2, -1, 1], [0, 0, 0, 0, 0], [-1, -3, 1, 1, 1], [0, 0, 0, 0, 0], [2, -1, 0, 1, 3], [0, 0, 0, 0, 0], [0, 2, -1, 0, -2], [0, 0, 0, 0, 0], [1, 1, 0, 0, -3], [0, 0, 0, 0, 0], [0, -1, -2, 0, 1], [0, 0, 0, 0, 0], [0, -1, -2, -1, 3], [0, 0, 0, 0, 0], [2, 1, -1, -1, 2], [0, 0, 0, 0, 0], [-2, 1, 1, -1, -2], [0, 0, 0, 0, 0], [1, 0, -3, 2, -3], [0, 0, 0, 0, 0], [-1, 5, 2, -1, -1], [0, 0, 0, 0, 0], [-3, -1, 3, 0, -3], [0, 0, 0, 0, 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[55, -9, 30, -34, 25], [-13, 11, -36, 9, -49], [-47, 18, -1, 1, -8], [-37, 22, 1, 28, 19], [21, 3, 5, -15, -26], [-6, -21, -19, 4, -32], [-17, 13, -27, -13, -7], [-22, -2, -19, 25, 13], [-51, 14, -37, 28, -16], [-21, 42, -2, 12, -15], [0, -21, 5, -40, 24], [-2, -1, -9, 25, -19], [-20, 50, -7, 21, -32], [-29, 21, 8, -15, -10], [28, -19, 7, 16, 7], [-18, 15, -26, 30, -17], [30, -19, -1, -1, 37], [-2, 30, -10, 37, -4], [-21, 12, 2, 28, -10], [15, -8, 45, -16, 24], [-55, 30, -13, 15, -25], [-11, -21, 4, -13, 22], [-28, 34, 5, 19, -16], [-2, 3, 8, 20, -23], [-20, -18, 25, -7, 11], [10, 25, -18, 28, 10], [-33, -8, -11, 18, 3], [23, -30, 40, 10, 12], [5, 11, 0, 25, -29], [-41, -1, -22, 12, -4], [14, 16, 12, 19, 6], [-41, -10, -1, -26, -5], [4, -21, 12, -2, -21], [53, -8, 24, -10, 10], [-6, -29, -1, 13, -1], [6, 38, -34, 18, -7], [-13, 2, -17, 38, -20], [27, -9, -1, -11, -21], [-14, 17, 18, 7, -25], [-22, 33, 7, 8, -39], [-39, 37, -45, 15, -39], [3, 31, 23, -22, 4], [13, 8, -21, 25, 33], [63, -19, 10, -18, 22], [61, -14, 10, -2, 25], [6, 24, 17, -22, 17], [-7, 5, -17, 9, -19], [-40, 53, -28, 55, -29], [-20, 26, 15, 31, -18], [19, -28, 11, 3, 14], [-31, 16, -49, 9, -6], [3, -5, 23, -34, 6], [-40, 4, 29, -12, -10], [-1, 0, -8, -7, 1], [-13, -9, -3, -26, -38]], 'char_orbit_index': 1, 'field_poly': [-1, 3, 3, -4, -1, 1], 'hecke_orbit_code': 198158383637864720, '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.bs', '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: 1392986
{'conductor': 92, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8464.2.a.bs', 'source_level': 8464, 'target_char_orbit': 3, 'target_dim': 10, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '23.2.c.a', 'target_level': 23, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '92.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1392987
{'conductor': 276, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8464.2.a.bs', 'source_level': 8464, 'target_char_orbit': 9, 'target_dim': 10, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '207.2.i.c', 'target_level': 207, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '276.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 1392988
{'conductor': 23, 'degree': 10, 'multiplicity': 2, 'order': 11, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8464.2.a.bs', 'source_level': 8464, 'target_char_orbit': 13, 'target_dim': 10, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '368.2.m.c', 'target_level': 368, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '23.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1392989
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8464.2.a.bs', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '529.2.a.i', 'target_level': 529, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1392990
{'conductor': 92, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8464.2.a.bs', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '529.2.a.j', 'target_level': 529, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '92.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1392991
{'conductor': 92, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8464.2.a.bs', 'source_level': 8464, 'target_char_orbit': 3, 'target_dim': 10, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '529.2.c.a', 'target_level': 529, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '92.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1392992
{'conductor': 92, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8464.2.a.bs', 'source_level': 8464, 'target_char_orbit': 3, 'target_dim': 10, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '529.2.c.b', 'target_level': 529, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '92.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1392993
{'conductor': 92, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8464.2.a.bs', 'source_level': 8464, 'target_char_orbit': 3, 'target_dim': 10, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '529.2.c.c', 'target_level': 529, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '92.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1392994
{'conductor': 92, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8464.2.a.bs', 'source_level': 8464, 'target_char_orbit': 3, 'target_dim': 10, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '529.2.c.d', 'target_level': 529, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '92.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1392995
{'conductor': 92, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8464.2.a.bs', 'source_level': 8464, 'target_char_orbit': 3, 'target_dim': 10, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '529.2.c.e', 'target_level': 529, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '92.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1392996
{'conductor': 92, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8464.2.a.bs', 'source_level': 8464, 'target_char_orbit': 3, 'target_dim': 10, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '529.2.c.f', 'target_level': 529, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '92.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1392997
{'conductor': 92, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8464.2.a.bs', 'source_level': 8464, 'target_char_orbit': 3, 'target_dim': 10, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '529.2.c.g', 'target_level': 529, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '92.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1392998
{'conductor': 92, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8464.2.a.bs', 'source_level': 8464, 'target_char_orbit': 3, 'target_dim': 10, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '529.2.c.h', 'target_level': 529, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '92.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1392999
{'conductor': 92, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8464.2.a.bs', 'source_level': 8464, 'target_char_orbit': 3, 'target_dim': 10, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '529.2.c.i', 'target_level': 529, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '92.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1393000
{'conductor': 460, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8464.2.a.bs', 'source_level': 8464, 'target_char_orbit': 11, 'target_dim': 10, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '575.2.k.b', 'target_level': 575, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '460.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1393001
{'conductor': 460, 'degree': 20, 'multiplicity': 4, 'order': 44, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8464.2.a.bs', 'source_level': 8464, 'target_char_orbit': 16, 'target_dim': 20, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '575.2.p.b', 'target_level': 575, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '460.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 1393002
{'conductor': 276, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8464.2.a.bs', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '4761.2.a.bn', 'target_level': 4761, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '276.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1393003
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8464.2.a.bs', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '4761.2.a.bo', 'target_level': 4761, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1393004
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8464.2.a.bs', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '8464.2.a.bs', 'target_level': 8464, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1393005
{'conductor': 23, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '8464.2.a.bs', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '8464.2.a.bt', 'target_level': 8464, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '23.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4761800
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 198158383637864720, 'p': 2}
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id: 4761801
{'charpoly_factorization': [[[-1, -7, -13, -5, 2, 1], 1]], 'hecke_orbit_code': 198158383637864720, 'p': 3}
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id: 4761802
{'charpoly_factorization': [[[-23, -35, -6, 13, 7, 1], 1]], 'hecke_orbit_code': 198158383637864720, 'p': 5}
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id: 4761803
{'charpoly_factorization': [[[23, -32, -4, 19, -8, 1], 1]], 'hecke_orbit_code': 198158383637864720, 'p': 7}
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id: 4761804
{'charpoly_factorization': [[[23, 70, -119, 61, -13, 1], 1]], 'hecke_orbit_code': 198158383637864720, 'p': 11}
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id: 4761805
{'charpoly_factorization': [[[-1, -2, 38, -9, -4, 1], 1]], 'hecke_orbit_code': 198158383637864720, 'p': 13}
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id: 4761806
{'charpoly_factorization': [[[23, 148, 186, 87, 16, 1], 1]], 'hecke_orbit_code': 198158383637864720, 'p': 17}
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id: 4761807
{'charpoly_factorization': [[[-736, -96, 184, -4, -10, 1], 1]], 'hecke_orbit_code': 198158383637864720, 'p': 19}
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id: 4761808
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 198158383637864720, 'p': 23}
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id: 4761809
{'charpoly_factorization': [[[-2221, 9, 347, -42, -7, 1], 1]], 'hecke_orbit_code': 198158383637864720, 'p': 29}
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id: 4761810
{'charpoly_factorization': [[[-131, -215, -111, -12, 5, 1], 1]], 'hecke_orbit_code': 198158383637864720, 'p': 31}
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id: 4761811
{'charpoly_factorization': [[[23, -618, 325, -31, -7, 1], 1]], 'hecke_orbit_code': 198158383637864720, 'p': 37}
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id: 4761812
{'charpoly_factorization': [[[43, -150, 119, -5, -9, 1], 1]], 'hecke_orbit_code': 198158383637864720, 'p': 41}
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id: 4761813
{'charpoly_factorization': [[[253, 220, -22, -33, 0, 1], 1]], 'hecke_orbit_code': 198158383637864720, 'p': 43}
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id: 4761814
{'charpoly_factorization': [[[-1, -106, 97, -5, -9, 1], 1]], 'hecke_orbit_code': 198158383637864720, 'p': 47}
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id: 4761815
{'charpoly_factorization': [[[22747, 6164, -442, -159, 2, 1], 1]], 'hecke_orbit_code': 198158383637864720, 'p': 53}
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id: 4761816
{'charpoly_factorization': [[[-67, -1062, 375, 32, -16, 1], 1]], 'hecke_orbit_code': 198158383637864720, 'p': 59}
-
id: 4761817
{'charpoly_factorization': [[[23, 526, 182, -119, 4, 1], 1]], 'hecke_orbit_code': 198158383637864720, 'p': 61}
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id: 4761818
{'charpoly_factorization': [[[33373, -160, -1495, -45, 17, 1], 1]], 'hecke_orbit_code': 198158383637864720, 'p': 67}
-
id: 4761819
{'charpoly_factorization': [[[23, -79, 83, -20, -7, 1], 1]], 'hecke_orbit_code': 198158383637864720, 'p': 71}
-
id: 4761820
{'charpoly_factorization': [[[-991, -1696, -281, 68, 18, 1], 1]], 'hecke_orbit_code': 198158383637864720, 'p': 73}
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id: 4761821
{'charpoly_factorization': [[[-22747, -3197, 2345, -148, -13, 1], 1]], 'hecke_orbit_code': 198158383637864720, 'p': 79}
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id: 4761822
{'charpoly_factorization': [[[23, -95, 90, -5, -13, 1], 1]], 'hecke_orbit_code': 198158383637864720, 'p': 83}
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id: 4761823
{'charpoly_factorization': [[[279841, 22218, -4163, -295, 15, 1], 1]], 'hecke_orbit_code': 198158383637864720, 'p': 89}
-
id: 4761824
{'charpoly_factorization': [[[-1541, -3240, 1530, -111, -16, 1], 1]], 'hecke_orbit_code': 198158383637864720, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 45, 'label': '8464.2.a.bs', '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: 71102971
{'hecke_orbit_code': 198158383637864720, 'n': 1, 'trace_an': 5}
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