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mf_newforms • Show schema
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{'Nk2': 896, 'analytic_conductor': 1.7886490052766806, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, 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': [224, 1, [127, 197, 129], [1, 1, 1]], 'cm_discs': [], 'conrey_indexes': [1], 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-4, -2, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915666144, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '224.2.a.d', 'level': 224, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '224.2.a.c', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta )q^{3}+(1-\\beta )q^{5}-q^{7}+(3+2\\beta )q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '224.2.a', 'trace_display': [0, 2, 2, -2], 'trace_hash': 673948960568800778, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.996', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.227', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.722', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.997', 'prec': 17}, {'__RealLiteral__': 0, 'data': '65.498', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.024', 'prec': 17}, 'traces': [2, 0, 2, 0, 2, 0, -2, 0, 6, 0, 4, 0, 6, 0, -8, 0, 0, 0, -2, 0, -2, 0, -8, 0, 2, 0, 20, 0, 0, 0, -4, 0, -16, 0, -2, 0, 0, 0, 16, 0, -8, 0, -4, 0, -14, 0, -12, 0, 2, 0, -20, 0, -20, 0, 24, 0, -12, 0, 14, 0, 18, 0, -6, 0, -4, 0, -8, 0, -8, 0, -8, 0, 12, 0, -18, 0, -4, 0, -8, 0, 22, 0, 14, 0, 20, 0, 20, 0, -12, 0, -6, 0, -24, 0, 8, 0, 16, 0, -28, 0, 10, 0, 20, 0, 8, 0, 0, 0, 8, 0, 20, 0, -16, 0, -8, 0, 38, 0, 0, 0, 26, 0, 12, 0, 12, 0, 0, 0, 16, 0, -10, 0, 2, 0, 0, 0, 12, 0, 2, 0, 8, 0, -8, 0, -20, 0, 2, 0, -12, 0, 0, 0, -40, 0, 16, 0, 6, 0, -20, 0, 8, 0, -20, 0, -16, 0, -20, 0, 2, 0, -26, 0, -2, 0, -2, 0, 4, 0, 32, 0, -2, 0, 8, 0, -20, 0, 40, 0, -20, 0, 8, 0, -8, 0, -24, 0, 4, 0, -4, 0, -8, 0, 0, 0, -28, 0, -24, 0, 16, 0, 24, 0, -48, 0, -24, 0, 4, 0, 52, 0, -20, 0, -8, 0, -34, 0, 30, 0, -2, 0, 16, 0, 4, 0, -32, 0, 32, 0, -8, 0, 16, 0, 22, 0, 2, 0, -16, 0, 4, 0, -22, 0, -16, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [1, 1], [0, 0], [1, -1], [0, 0], [-1, 0], [0, 0], [3, 2], [0, 0], [2, -2], [0, 0], [3, 1], [0, 0], [-4, 0], [0, 0], [0, -2], [0, 0], [-1, -1], [0, 0], [-1, -1], [0, 0], [-4, 0], [0, 0], [1, -2], [0, 0], [10, 2], [0, 0], [0, 2], [0, 0], [-2, -2], [0, 0], [-8, 0], [0, 0], [-1, 1], [0, 0], [0, 2], [0, 0], [8, 4], [0, 0], [-4, 2], [0, 0], [-2, 2], [0, 0], [-7, -1], [0, 0], [-6, 2], [0, 0], [1, 0], [0, 0], [-10, -2], [0, 0], [-10, 0], [0, 0], [12, -4], [0, 0], [-6, -2], [0, 0], [7, -1], [0, 0], [9, -1], [0, 0], [-3, -2], [0, 0], [-2, -2], [0, 0], [-4, 0], [0, 0], [-4, -4], [0, 0], [-4, -4], [0, 0], [6, 4], [0, 0], [-9, -1], [0, 0], [-2, 2], [0, 0], [-4, 4], [0, 0], [11, 6], [0, 0], [7, -1], [0, 0], [10, -2], [0, 0], [10, 2], [0, 0], [-6, 0], [0, 0], [-3, -1], [0, 0], [-12, -4], [0, 0], [4, 0], [0, 0], [8, -2], [0, 0], [-14, -2], [0, 0]], 'ap': [[0, 0], [1, 1], [1, -1], [-1, 0], [2, -2], [3, 1], [0, -2], [-1, -1], [-4, 0], [0, 2], [-2, -2], [0, 2], [-4, 2], [-2, 2], [-6, 2], [-10, 0], [7, -1], [9, -1], [-4, 0], [-4, -4], [6, 4], [-4, 4], [7, -1], [-6, 0], [8, -2], [5, 3], [10, 2], [0, 4], [4, -2], [-8, 2], [0, 4], [-5, 3], [6, -4], [1, 1], [-6, -4], [0, -4], [3, 1], [-10, -6], [-10, 6], [-1, -3], [16, 4], [-1, 5], [4, 4], [-4, -2], [2, -4], [-2, 6], [12, 0], [-4, 4], [15, -1], [-1, -11], [2, 8], [-4, -8], [8, -2], [-11, -3], [-14, 0], [-20, -4], [7, 5], [24, 0], [-10, -8], [26, 0], [-5, -5], [-15, -1], [-13, -5], [-8, 0], [-4, 2], [18, 4], [-18, 2], [-12, -10], [-2, 2], [11, -7], [2, 8], [8, -4], [-4, -12], [-6, -4], [18, 6], [2, -6], [0, 2], [-13, 1], [-28, -2], [-8, 6], [-11, 5], [-2, 0], [28, 0], [-4, -6], [32, 0], [-4, -8], [10, 8], [-12, -2], [15, -3], [0, -16], [3, -13], [22, 6], [-20, 0], [-20, 8], [-4, 8], [-4, -4], [-21, 9], [-20, -6], [11, 3], [-14, -4], [18, 6], [18, 4], [29, 5], [4, -10], [10, -2], [-6, 0], [-3, -3], [6, -12], [0, 8], [-6, -16], [8, 8], [16, -6], [12, -10], [19, -13], [36, -4], [28, 6], [37, -3], [-2, -10], [4, 6], [-6, 14], [-7, 7], [6, 4], [31, 5], [12, 16], [3, -5], [-28, 6], [24, 10], [-2, 22], [10, 10], [-7, -1], [-10, -6], [-16, 4], [-36, 0], [8, -14], [-8, -2], [4, 10], [29, -5], [19, 3], [-41, 5], [-4, 6], [15, -17], [22, 8], [-16, -16], [-24, -4], [9, -1], [26, 2], [7, -3], [-32, -2], [45, 5], [12, -4], [0, -6], [-2, -12], [-32, -4], [2, -14], [8, 4], [8, -12], [0, -16], [-16, 14], [-18, -4], [-11, 11], [18, 6], [34, -8], [-12, 8], [-25, -1], [14, 12], [10, 2], [24, 0], [-11, -13]], 'char_orbit_index': 1, 'field_poly': [-1, -1, 1], 'hecke_orbit_code': 13510798915666144, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 2], 'hecke_ring_inverse_numerators': [[1, 0], [1, 1]], 'hecke_ring_numerators': [[1, 0], [-1, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '224.2.a.d', 'level': 224, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [7, -1]], 3, 2], [[[2, 1], [7, 1]], 1, 1], [[[2, -1], [7, 1]], 2, 1]], 'Nk2': 896, 'analytic_conductor': 1.7886490052766806, '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': [224, 1, [127, 197, 129], [1, 1, 1]], 'conrey_indexes': [1], 'cusp_dim': 25, 'dim': 6, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 33554656, 'hecke_orbit_dims': [1, 1, 2, 2], 'label': '224.2.a', 'level': 224, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 40, 'mf_new_dim': 6, 'num_forms': 4, 'plus_dim': 1, 'prim_orbit_index': 1, 'relative_dim': 6, 'sturm_bound': 64, 'trace_bound': 3, 'trace_display': [0, 0, 4, 0], 'traces': [6, 0, 0, 0, 4, 0, 0, 0, 14, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 4, 0, 0, 0, -16, 0, 0, 0, 20, 0, 0, 0, -36, 0, 0, 0, -28, 0, 0, 0, 6, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, -8, 0, 0, 0, -48, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 40, 0, 0, 0, 12, 0, 0, 0, -32, 0, 0, 0, 28, 0, 0, 0, 20, 0, 0, 0, 16, 0, 0, 0, 36, 0, 0, 0, -20, 0, 0, 0, 68, 0, 0, 0, 62, 0, 0, 0, 24, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, -12, 0, 0, 0, -84, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 10, 0, 0, 0, -28, 0, 0, 0, -32, 0, 0, 0, -28, 0, 0, 0, -40, 0, 0, 0, -48, 0, 0, 0, 12, 0, 0, 0, 20, 0, 0, 0, 16, 0, 0, 0, -56, 0, 0, 0, 80, 0, 0, 0, -96, 0, 0, 0, 16, 0, 0, 0, -24, 0, 0, 0, -78, 0, 0, 0, -44, 0, 0, 0, -4, 0, 0, 0, 128, 0, 0, 0, 60, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -52, 0, 0, 0, 84, 0, 0, 0, -40, 0, 0, 0, 4, 0, 0, 0, -48, 0, 0, 0, -12, 0, 0, 0, 92, 0, 0, 0, 16, 0, 0, 0, -14, 0, 0, 0, -44, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 96, 0, 0, 0, -68, 0, 0, 0, 4, 0, 0, 0, 144, 0, 0, 0, 12, 0, 0, 0, 16, 0, 0, 0, 100, 0, 0, 0, -84, 0, 0, 0, 96, 0, 0, 0, 64, 0, 0, 0, 84, 0, 0, 0, 44, 0, 0, 0, 32, 0, 0, 0, -18, 0, 0, 0, -56, 0, 0, 0, 12, 0, 0, 0, -12, 0, 0, 0, 24, 0, 0, 0, 144, 0, 0, 0, -48, 0, 0, 0, -12, 0, 0, 0, 64, 0, 0, 0, -108, 0, 0, 0, -116, 0, 0, 0, -76, 0, 0, 0, -36, 0, 0, 0, -48, 0, 0, 0, 64, 0, 0, 0, -44, 0, 0, 0, 100, 0, 0, 0, -160, 0, 0, 0, 28, 0, 0, 0, -80, 0, 0, 0, 14, 0, 0, 0, -24, 0, 0, 0, -20, 0, 0, 0, -16, 0, 0, 0, -4, 0, 0, 0, 116, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, -128, 0, 0, 0, -124, 0, 0, 0, -40, 0, 0, 0, 72, 0, 0, 0, -176, 0, 0, 0, -88, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, -44, 0, 0, 0, -128, 0, 0, 0, -160, 0, 0, 0, -4, 0, 0, 0, 16, 0, 0, 0, 54, 0, 0, 0, 72, 0, 0, 0, 144, 0, 0, 0, 4, 0, 0, 0, 56, 0, 0, 0, 52, 0, 0, 0, 48, 0, 0, 0, 132, 0, 0, 0, -32, 0, 0, 0, -72, 0, 0, 0, 28, 0, 0, 0, 96, 0, 0, 0, -52, 0, 0, 0, -32, 0, 0, 0, -104, 0, 0, 0, 96, 0, 0, 0, 12, 0, 0, 0, 96, 0, 0, 0, -116, 0, 0, 0, 212, 0, 0, 0, -32, 0, 0, 0, 20, 0, 0, 0, 92, 0, 0, 0, -96, 0, 0, 0, 14, 0, 0, 0, -120, 0, 0, 0, 16, 0, 0, 0, 4, 0, 0, 0, 44, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, -60, 0, 0, 0, 220, 0, 0, 0, 20, 0, 0, 0, -16, 0, 0, 0, -32, 0, 0, 0, 12, 0, 0, 0, 196, 0, 0, 0, 128, 0, 0, 0, 104, 0, 0, 0, -104, 0, 0, 0, 64, 0, 0, 0, -40, 0, 0, 0, -124, 0, 0, 0, 96, 0, 0, 0, 148, 0, 0, 0, -32, 0, 0, 0, -272, 0, 0, 0, -32, 0, 0, 0, -100, 0, 0, 0, 158, 0, 0, 0, -12, 0, 0, 0, 32, 0, 0, 0, -208, 0, 0, 0, 56, 0, 0, 0, 32, 0, 0, 0, -64, 0, 0, 0, 52, 0, 0, 0, 28, 0, 0, 0, 40, 0, 0, 0, 28, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -8, 0, 0, 0, -96, 0, 0, 0, 152, 0, 0, 0, -124, 0, 0, 0, -36, 0, 0, 0, 16, 0, 0, 0, -68, 0, 0, 0, 160, 0, 0, 0, -80, 0, 0, 0, 84, 0, 0, 0, -112, 0, 0, 0, 84, 0, 0, 0, -4, 0, 0, 0, -192, 0, 0, 0, -86, 0, 0, 0, -116, 0, 0, 0, -160, 0, 0, 0, -44, 0, 0, 0, -164, 0, 0, 0, -64, 0, 0, 0, 56, 0, 0, 0, -64, 0, 0, 0, 12, 0, 0, 0, -28, 0, 0, 0, -84, 0, 0, 0, -112, 0, 0, 0, 32, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -104, 0, 0, 0, 180, 0, 0, 0, 80, 0, 0, 0, 32, 0, 0, 0, -192, 0, 0, 0, -180, 0, 0, 0, -100, 0, 0, 0, 64, 0, 0, 0, -116, 0, 0, 0, -124, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 92, 0, 0, 0, 32, 0, 0, 0, -58, 0, 0, 0, 24, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, 108, 0, 0, 0, -12, 0, 0, 0, 88, 0, 0, 0, 96, 0, 0, 0, 16, 0, 0, 0, -28, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 179269
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '224.2.a.d', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '224.2.a.c', 'target_level': 224, 'twist_class_label': '224.2.a.c', 'twist_class_level': 224, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 179270
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '224.2.a.d', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '224.2.a.d', 'target_level': 224, 'twist_class_label': '224.2.a.c', 'twist_class_level': 224, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 179271
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '224.2.a.d', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '448.2.a.i', 'target_level': 448, 'twist_class_label': '224.2.a.c', 'twist_class_level': 224, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 179272
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '224.2.a.d', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '448.2.a.j', 'target_level': 448, 'twist_class_label': '224.2.a.c', 'twist_class_level': 224, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 179273
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '224.2.a.d', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1568.2.a.k', 'target_level': 1568, 'twist_class_label': '224.2.a.c', 'twist_class_level': 224, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 179274
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '224.2.a.d', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '1568.2.a.v', 'target_level': 1568, 'twist_class_label': '224.2.a.c', 'twist_class_level': 224, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 179275
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '224.2.a.d', 'source_level': 224, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1568.2.i.m', 'target_level': 1568, 'twist_class_label': '224.2.a.c', 'twist_class_level': 224, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 179276
{'conductor': 28, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '224.2.a.d', 'source_level': 224, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1568.2.i.n', 'target_level': 1568, 'twist_class_label': '224.2.a.c', 'twist_class_level': 224, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 179277
{'conductor': 28, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '224.2.a.d', 'source_level': 224, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '1568.2.i.v', 'target_level': 1568, 'twist_class_label': '224.2.a.c', 'twist_class_level': 224, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 179278
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '224.2.a.d', 'source_level': 224, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '1568.2.i.w', 'target_level': 1568, 'twist_class_label': '224.2.a.c', 'twist_class_level': 224, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 179279
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '224.2.a.d', 'source_level': 224, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1792.2.b.k', 'target_level': 1792, 'twist_class_label': '224.2.a.c', 'twist_class_level': 224, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 179280
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '224.2.a.d', 'source_level': 224, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1792.2.b.m', 'target_level': 1792, 'twist_class_label': '224.2.a.c', 'twist_class_level': 224, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 179281
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '224.2.a.d', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2016.2.a.o', 'target_level': 2016, 'twist_class_label': '224.2.a.c', 'twist_class_level': 224, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 179282
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '224.2.a.d', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '2016.2.a.r', 'target_level': 2016, 'twist_class_label': '224.2.a.c', 'twist_class_level': 224, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 179283
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '224.2.a.d', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '3136.2.a.bf', 'target_level': 3136, 'twist_class_label': '224.2.a.c', 'twist_class_level': 224, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 179284
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '224.2.a.d', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 51, 'target_is_minimal': False, 'target_label': '3136.2.a.by', 'target_level': 3136, 'twist_class_label': '224.2.a.c', 'twist_class_level': 224, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 179285
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '224.2.a.d', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '4032.2.a.bv', 'target_level': 4032, 'twist_class_label': '224.2.a.c', 'twist_class_level': 224, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 179286
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '224.2.a.d', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 49, 'target_is_minimal': False, 'target_label': '4032.2.a.bw', 'target_level': 4032, 'twist_class_label': '224.2.a.c', 'twist_class_level': 224, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 179287
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '224.2.a.d', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '5600.2.a.z', 'target_level': 5600, 'twist_class_label': '224.2.a.c', 'twist_class_level': 224, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 179288
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '224.2.a.d', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '5600.2.a.bk', 'target_level': 5600, 'twist_class_label': '224.2.a.c', 'twist_class_level': 224, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 534575
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510798915666144, 'p': 2}
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id: 534576
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 13510798915666144, 'p': 3}
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id: 534577
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 13510798915666144, 'p': 5}
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id: 534578
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 13510798915666144, 'p': 7}
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id: 534579
{'charpoly_factorization': [[[-16, -4, 1], 1]], 'hecke_orbit_code': 13510798915666144, 'p': 11}
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id: 534580
{'charpoly_factorization': [[[4, -6, 1], 1]], 'hecke_orbit_code': 13510798915666144, 'p': 13}
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id: 534581
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 13510798915666144, 'p': 17}
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id: 534582
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 13510798915666144, 'p': 19}
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id: 534583
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 13510798915666144, 'p': 23}
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id: 534584
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 13510798915666144, 'p': 29}
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id: 534585
{'charpoly_factorization': [[[-16, 4, 1], 1]], 'hecke_orbit_code': 13510798915666144, 'p': 31}
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id: 534586
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 13510798915666144, 'p': 37}
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id: 534587
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 13510798915666144, 'p': 41}
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id: 534588
{'charpoly_factorization': [[[-16, 4, 1], 1]], 'hecke_orbit_code': 13510798915666144, 'p': 43}
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id: 534589
{'charpoly_factorization': [[[16, 12, 1], 1]], 'hecke_orbit_code': 13510798915666144, 'p': 47}
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id: 534590
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 13510798915666144, 'p': 53}
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id: 534591
{'charpoly_factorization': [[[44, -14, 1], 1]], 'hecke_orbit_code': 13510798915666144, 'p': 59}
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id: 534592
{'charpoly_factorization': [[[76, -18, 1], 1]], 'hecke_orbit_code': 13510798915666144, 'p': 61}
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id: 534593
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 13510798915666144, 'p': 67}
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id: 534594
{'charpoly_factorization': [[[-64, 8, 1], 1]], 'hecke_orbit_code': 13510798915666144, 'p': 71}
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id: 534595
{'charpoly_factorization': [[[-44, -12, 1], 1]], 'hecke_orbit_code': 13510798915666144, 'p': 73}
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id: 534596
{'charpoly_factorization': [[[-64, 8, 1], 1]], 'hecke_orbit_code': 13510798915666144, 'p': 79}
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id: 534597
{'charpoly_factorization': [[[44, -14, 1], 1]], 'hecke_orbit_code': 13510798915666144, 'p': 83}
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id: 534598
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 13510798915666144, 'p': 89}
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id: 534599
{'charpoly_factorization': [[[44, -16, 1], 1]], 'hecke_orbit_code': 13510798915666144, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '224.2.a.d', 'level': 224, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 125681000
{'hecke_orbit_code': 13510798915666144, 'n': 1, 'trace_an': 2}
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id: 125681001
{'hecke_orbit_code': 13510798915666144, 'n': 2, 'trace_an': 0}
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id: 125681002
{'hecke_orbit_code': 13510798915666144, 'n': 3, 'trace_an': 2}
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id: 125681003
{'hecke_orbit_code': 13510798915666144, 'n': 4, 'trace_an': 0}
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id: 125681004
{'hecke_orbit_code': 13510798915666144, 'n': 5, 'trace_an': 2}
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id: 125681005
{'hecke_orbit_code': 13510798915666144, 'n': 6, 'trace_an': 0}
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{'hecke_orbit_code': 13510798915666144, 'n': 990, 'trace_an': 0}
-
id: 125681990
{'hecke_orbit_code': 13510798915666144, 'n': 991, 'trace_an': 48}
-
id: 125681991
{'hecke_orbit_code': 13510798915666144, 'n': 992, 'trace_an': 0}
-
id: 125681992
{'hecke_orbit_code': 13510798915666144, 'n': 993, 'trace_an': -16}
-
id: 125681993
{'hecke_orbit_code': 13510798915666144, 'n': 994, 'trace_an': 0}
-
id: 125681994
{'hecke_orbit_code': 13510798915666144, 'n': 995, 'trace_an': -64}
-
id: 125681995
{'hecke_orbit_code': 13510798915666144, 'n': 996, 'trace_an': 0}
-
id: 125681996
{'hecke_orbit_code': 13510798915666144, 'n': 997, 'trace_an': -22}
-
id: 125681997
{'hecke_orbit_code': 13510798915666144, 'n': 998, 'trace_an': 0}
-
id: 125681998
{'hecke_orbit_code': 13510798915666144, 'n': 999, 'trace_an': 40}
-
id: 125681999
{'hecke_orbit_code': 13510798915666144, 'n': 1000, 'trace_an': 0}