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mf_newforms • Show schema
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{'Nk2': 1248, 'analytic_conductor': 2.491332543063948, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [13, -1]], 'atkin_lehner_string': '++-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [312, 1, [79, 157, 209, 145], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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': [[5, [2, 1]], [7, [-4, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 33554744, 'hecke_ring_generator_nbound': 1, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '312.2.a.a', 'level': 312, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'minimal_twist': '312.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}-2q^{5}+4q^{7}+q^{9}+q^{13}+2q^{15}+\\cdots', 'related_objects': ['EllipticCurve/Q/312/a'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '312.2.a', 'trace_display': [0, -1, -2, 4], 'trace_hash': 1198886866366260491, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.023', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.978', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.970', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.030', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.985', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [1, 0, -1, 0, -2, 0, 4, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 8, 0, -4, 0, 8, 0, -1, 0, -1, 0, -2, 0, 4, 0, 0, 0, -8, 0, -10, 0, -1, 0, 2, 0, -4, 0, -2, 0, -12, 0, 9, 0, -2, 0, 6, 0, 0, 0, -8, 0, 0, 0, -2, 0, 4, 0, -2, 0, 8, 0, -8, 0, -12, 0, 10, 0, 1, 0, 0, 0, -8, 0, 1, 0, 0, 0, -4, 0, 2, 0, -14, 0, 4, 0, -4, 0, -16, 0, 2, 0, 0, 0, 6, 0, 8, 0, 8, 0, 4, 0, -18, 0, 10, 0, 18, 0, -16, 0, 1, 0, 8, 0, -11, 0, -2, 0, 12, 0, 0, 0, 4, 0, 12, 0, 32, 0, 2, 0, 2, 0, 4, 0, 12, 0, 0, 0, 4, 0, -9, 0, -18, 0, -12, 0, 2, 0, -8, 0, -2, 0, -6, 0, 32, 0, -16, 0, 0, 0, 12, 0, 1, 0, 8, 0, -18, 0, -4, 0, 0, 0, 20, 0, -10, 0, 2, 0, 20, 0, 0, 0, -4, 0, -24, 0, -14, 0, 2, 0, 14, 0, 8, 0, -8, 0, -8, 0, -4, 0, 8, 0, 0, 0, -4, 0, 12, 0, 8, 0, 16, 0, -10, 0, 2, 0, 20, 0, -1, 0, 0, 0, -10, 0, 0, 0, 26, 0, 24, 0, 8, 0, -20, 0, -14, 0, -1, 0, -18, 0, 8, 0, 0, 0, 28, 0, 0, 0, 4, 0, -14, 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-16, 0, -34, 0, 10, 0, 18, 0, -24, 0, -4, 0, 12, 0, -25, 0, 30, 0, -2, 0, -44, 0, 4, 0, -80, 0, 22, 0, -16, 0, 42, 0, 20, 0, -8, 0, -36, 0, 36, 0, 13, 0, 0, 0, 8, 0, 2, 0, 48, 0, 14, 0, 2, 0, 2, 0, 20, 0, 0, 0, -16, 0, 0, 0, 0, 0, -96, 0, -40, 0, -8, 0, -8, 0, 12, 0, 16, 0, 20, 0, -52, 0, 6, 0, 8, 0, 0, 0, -4, 0, 48, 0, 0, 0, 32, 0, -12, 0, 10, 0, 8, 0, 42, 0, 72, 0, -24, 0, 0, 0, -22, 0, -10, 0, 22, 0, 16, 0, 8, 0, 40, 0, 10, 0, 10, 0, 42, 0, 48, 0, 0, 0, 8, 0, -15, 0, 4, 0, 28, 0, 12, 0, -16, 0, 20, 0, 16, 0, 1, 0, 10, 0, 0, 0, -18, 0, -36, 0, -28, 0, 48, 0, -32, 0, 24, 0, -16, 0, -16, 0, 38, 0, 10, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-1], [0], [-2], [0], [4], [0], [1], [0], [0], [0], [1], [0], [2], [0], [2], [0], [8], [0], [-4], [0], [8], [0], [-1], [0], [-1], [0], [-2], [0], [4], [0], [0], [0], [-8], [0], [-10], [0], [-1], [0], [2], [0], [-4], [0], [-2], [0], [-12], [0], [9], [0], [-2], [0], [6], [0], [0], [0], [-8], [0], [0], [0], [-2], [0], [4], [0], [-2], [0], [8], [0], [-8], [0], [-12], [0], [10], [0], [1], [0], [0], [0], [-8], [0], [1], [0], [0], [0], [-4], [0], [2], [0], [-14], [0], [4], [0], [-4], [0], [-16], [0], [2], [0], [0], [0]], 'ap': [[0], [-1], [-2], [4], [0], [1], [2], [8], [8], [-2], [4], [-10], [2], [-4], [-12], [6], [0], [-2], [8], [-12], [10], [-8], [0], [-14], [2], [6], [8], [4], [-18], [18], [0], [12], [2], [4], [-18], [-12], [-2], [-16], [12], [-18], [20], [-10], [-24], [-14], [14], [8], [-4], [20], [0], [-10], [26], [-20], [-14], [28], [-14], [-16], [-18], [-20], [-10], [-30], [-4], [-2], [-32], [24], [10], [-10], [16], [-30], [20], [30], [-6], [-20], [8], [22], [-16], [12], [22], [-18], [-22], [10], [-4], [22], [12], [18], [8], [4], [-6], [-6], [-10], [-4], [-12], [4], [28], [12], [-24], [16], [-10], [-22], [20], [30], [-20], [38], [-44], [-22], [-4], [-30], [8], [26], [0], [10], [8], [22], [18], [40], [-12], [18], [40], [-40], [46], [-20], [-10], [-14], [-42], [32], [8], [-18], [-42], [16], [-40], [14], [16], [4], [16], [-42], [-46], [-14], [14], [16], [14], [-22], [48], [30], [56], [-16], [-34], [12], [22], [42], [20], [-36], [14], [2], [20], [-16], [-52], [8], [0], [42], [-22], [22], [40], [42], [12], [20], [10], [-36], [24], [38]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 33554744, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '312.2.a.a', 'level': 312, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [13, -1]], 1, 1], [[[2, 1], [3, -1], [13, 1]], 1, 1], [[[2, -1], [3, -1], [13, 1]], 1, 1], [[[2, 1], [3, 1], [13, -1]], 1, 1], [[[2, -1], [3, 1], [13, 1]], 1, 1], [[[2, 1], [3, 1], [13, 1]], 1, 1]], 'ALdims': [1, 1, 1, 0, 1, 0, 1, 1], 'Nk2': 1248, 'analytic_conductor': 2.491332543063948, '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': [312, 1, [79, 157, 209, 145], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 49, 'dim': 6, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33554744, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1], 'label': '312.2.a', 'level': 312, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'mf_dim': 64, 'mf_new_dim': 6, 'num_forms': 6, 'plus_dim': 2, 'prim_orbit_index': 1, 'relative_dim': 6, 'sturm_bound': 112, 'trace_bound': 5, 'trace_display': [0, 0, 0, -4], 'traces': [6, 0, 0, 0, 0, 0, -4, 0, 6, 0, 0, 0, -2, 0, -4, 0, -4, 0, 12, 0, -4, 0, 24, 0, 10, 0, 0, 0, -4, 0, -4, 0, 8, 0, 8, 0, -20, 0, 0, 0, -8, 0, -16, 0, 0, 0, -16, 0, 6, 0, 0, 0, 4, 0, 0, 0, -12, 0, -24, 0, 4, 0, -4, 0, 0, 0, 4, 0, -8, 0, -8, 0, -12, 0, 0, 0, 16, 0, -24, 0, 6, 0, 24, 0, 32, 0, -8, 0, -32, 0, 12, 0, 12, 0, -8, 0, -12, 0, 0, 0, -4, 0, 8, 0, 24, 0, -8, 0, -12, 0, -8, 0, -44, 0, -16, 0, -2, 0, 56, 0, -18, 0, 12, 0, 0, 0, 16, 0, -8, 0, 40, 0, 32, 0, -4, 0, 24, 0, -8, 0, 16, 0, 0, 0, 16, 0, -16, 0, -24, 0, 4, 0, -4, 0, -56, 0, 36, 0, 0, 0, 0, 0, -12, 0, 16, 0, 32, 0, 6, 0, 12, 0, -4, 0, -28, 0, -16, 0, 24, 0, -28, 0, -32, 0, 80, 0, 32, 0, -4, 0, 40, 0, 28, 0, 12, 0, 16, 0, -16, 0, -20, 0, -24, 0, -24, 0, 24, 0, -16, 0, 0, 0, 8, 0, 16, 0, 16, 0, -8, 0, 12, 0, 60, 0, 10, 0, -64, 0, -28, 0, 0, 0, 36, 0, 16, 0, -8, 0, -56, 0, -28, 0, 0, 0, -96, 0, -4, 0, -16, 0, -16, 0, 0, 0, 24, 0, 4, 0, 8, 0, -4, 0, 0, 0, -32, 0, 20, 0, -20, 0, -36, 0, -4, 0, -64, 0, -28, 0, -4, 0, 24, 0, 24, 0, -40, 0, 24, 0, -14, 0, 8, 0, -8, 0, -48, 0, 8, 0, -8, 0, 16, 0, -8, 0, 64, 0, 28, 0, 40, 0, 24, 0, 12, 0, 8, 0, 48, 0, -32, 0, 16, 0, 24, 0, -14, 0, 16, 0, -32, 0, 36, 0, -20, 0, -24, 0, -36, 0, -8, 0, -16, 0, -8, 0, -16, 0, 16, 0, 12, 0, 0, 0, 8, 0, -32, 0, -8, 0, -64, 0, 62, 0, 32, 0, -48, 0, 16, 0, -8, 0, 8, 0, 68, 0, -72, 0, 12, 0, -68, 0, 0, 0, 16, 0, -32, 0, -16, 0, 68, 0, -16, 0, -16, 0, -16, 0, -4, 0, -64, 0, -48, 0, 12, 0, 0, 0, 0, 0, -28, 0, 44, 0, -16, 0, 112, 0, 32, 0, -24, 0, 4, 0, -16, 0, -28, 0, -24, 0, -8, 0, 16, 0, 44, 0, 56, 0, 96, 0, -8, 0, 6, 0, 88, 0, -40, 0, 68, 0, 0, 0, 32, 0, 36, 0, -24, 0, -44, 0, 0, 0, 128, 0, -52, 0, -8, 0, -96, 0, 0, 0, 16, 0, 32, 0, 148, 0, 4, 0, 120, 0, -4, 0, -32, 0, -16, 0, 12, 0, -36, 0, 64, 0, -40, 0, 0, 0, -96, 0, 4, 0, -16, 0, 80, 0, 48, 0, 0, 0, 32, 0, 88, 0, -12, 0, -80, 0, 80, 0, 40, 0, -124, 0, -8, 0, -60, 0, -8, 0, -10, 0, -24, 0, 24, 0, -32, 0, 0, 0, -64, 0, -60, 0, 0, 0, 32, 0, -24, 0, 4, 0, -152, 0, -64, 0, -8, 0, -8, 0, -16, 0, 16, 0, 8, 0, -80, 0, -4, 0, 4, 0, -56, 0, 56, 0, 40, 0, 28, 0, 48, 0, 16, 0, -64, 0, 0, 0, -24, 0, 64, 0, -20, 0, 96, 0, -112, 0, -48, 0, 16, 0, 12, 0, 4, 0, 0, 0, -32, 0, 72, 0, -16, 0, 12, 0, 80, 0, 8, 0, 124, 0, -8, 0, -40, 0, 94, 0, 0, 0, 56, 0, -12, 0, 24, 0, 32, 0, -2, 0, -8, 0, 12, 0, 68, 0, -32, 0, -64, 0, -16, 0, -80, 0, -36, 0, 32, 0, -12, 0, -48, 0, 124, 0, 0, 0, 0, 0, -48, 0, -52, 0, -64, 0, -68, 0, 0, 0, -124, 0, 56, 0, -8, 0, -16, 0, -88, 0, -80, 0, 20, 0, 36, 0, 16, 0, 0, 0, 16, 0, -56, 0, 68, 0, -56, 0, 16, 0, 72, 0, -108, 0, -24, 0, 0, 0, 0, 0, -24, 0, 24, 0, 32, 0, 88, 0, -156, 0, -32, 0, 6, 0, 32, 0, -28, 0, -4, 0, -80, 0, -36, 0, -12, 0, 8, 0, -40, 0, 24, 0, 48, 0, -104, 0, -40, 0, 152, 0, -76, 0, 32, 0, -8, 0, -88, 0, 32, 0, 8, 0, 12, 0, -40, 0, -24, 0, 100, 0, 72, 0, -120, 0, -16, 0, -8, 0, 32, 0, -20, 0, 48, 0, 184, 0, -12, 0, 8, 0, 20, 0, 0, 0, -32, 0, 64, 0, 0, 0, -56, 0, 20, 0, 12, 0, 44, 0, 232, 0, 48, 0, 12, 0, -72, 0, 88, 0, -40, 0, -16, 0, 36, 0, 0, 0, -132, 0, 16, 0, 12, 0, 8, 0, 74, 0, -20, 0, 0, 0, 12, 0, 0, 0, -112, 0, 124, 0, -8, 0, 52, 0, -80, 0, 8, 0, -144, 0, 144, 0, 0, 0, -96, 0, 20, 0, -12, 0, 144, 0, 12, 0, 20, 0, -44, 0, 88, 0, 64, 0, 8, 0, -32, 0, 0, 0, -160, 0, -96, 0, -8, 0, -88, 0, -24, 0, 16, 0, 192, 0, -56, 0, -4, 0, 40, 0, 16, 0, -24, 0, 16, 0, -8, 0, 100, 0, -40, 0, -12, 0, 8, 0, 40, 0, 44, 0, 24, 0, -64, 0, -36, 0, -32, 0, 88, 0, -48, 0, 24, 0, 120, 0, 4, 0, 28, 0, 36, 0, 16, 0, -16, 0, -40, 0, -10, 0, -8, 0, 96, 0, 108, 0, -88, 0, -48, 0, 112, 0, 0, 0, 80, 0, 32, 0, -12, 0, -40, 0, -56, 0, 80, 0, -32, 0, -32, 0, -4, 0, 0, 0, 164, 0, -8, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 238111
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '312.2.a.a', 'source_level': 312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '312.2.a.a', 'target_level': 312, 'twist_class_label': '312.2.a.a', 'twist_class_level': 312, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 238112
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '312.2.a.a', 'source_level': 312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '624.2.a.f', 'target_level': 624, 'twist_class_label': '312.2.a.a', 'twist_class_level': 312, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 238113
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '312.2.a.a', 'source_level': 312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '936.2.a.h', 'target_level': 936, 'twist_class_label': '312.2.a.a', 'twist_class_level': 312, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 238114
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '312.2.a.a', 'source_level': 312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1872.2.a.n', 'target_level': 1872, 'twist_class_label': '312.2.a.a', 'twist_class_level': 312, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 238115
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '312.2.a.a', 'source_level': 312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2496.2.a.k', 'target_level': 2496, 'twist_class_label': '312.2.a.a', 'twist_class_level': 312, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 238116
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '312.2.a.a', 'source_level': 312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '2496.2.a.bb', 'target_level': 2496, 'twist_class_label': '312.2.a.a', 'twist_class_level': 312, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 238117
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '312.2.a.a', 'source_level': 312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '4056.2.a.g', 'target_level': 4056, 'twist_class_label': '312.2.a.a', 'twist_class_level': 312, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 238118
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '312.2.a.a', 'source_level': 312, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '4056.2.c.c', 'target_level': 4056, 'twist_class_label': '312.2.a.a', 'twist_class_level': 312, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 238119
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '312.2.a.a', 'source_level': 312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '7488.2.a.i', 'target_level': 7488, 'twist_class_label': '312.2.a.a', 'twist_class_level': 312, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 238120
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '312.2.a.a', 'source_level': 312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '7488.2.a.t', 'target_level': 7488, 'twist_class_label': '312.2.a.a', 'twist_class_level': 312, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 238121
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '312.2.a.a', 'source_level': 312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '7800.2.a.n', 'target_level': 7800, 'twist_class_label': '312.2.a.a', 'twist_class_level': 312, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 238122
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '312.2.a.a', 'source_level': 312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '8112.2.a.bg', 'target_level': 8112, 'twist_class_label': '312.2.a.a', 'twist_class_level': 312, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 688450
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 2}
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id: 688451
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 3}
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id: 688452
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 5}
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id: 688453
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 7}
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id: 688454
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 11}
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id: 688455
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 13}
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id: 688456
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 17}
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id: 688457
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 19}
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id: 688458
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 23}
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id: 688459
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 29}
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id: 688460
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 31}
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id: 688461
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 37}
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id: 688462
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 41}
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id: 688463
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 43}
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id: 688464
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 47}
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id: 688465
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 53}
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id: 688466
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 59}
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id: 688467
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 61}
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id: 688468
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 67}
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id: 688469
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 71}
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id: 688470
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 73}
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id: 688471
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 79}
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id: 688472
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 83}
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id: 688473
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 89}
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id: 688474
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 33554744, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 1, 'label': '312.2.a.a', 'level': 312, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 293000
{'hecke_orbit_code': 33554744, 'n': 1, 'trace_an': 1}
-
id: 293001
{'hecke_orbit_code': 33554744, 'n': 2, 'trace_an': 0}
-
id: 293002
{'hecke_orbit_code': 33554744, 'n': 3, 'trace_an': -1}
-
id: 293003
{'hecke_orbit_code': 33554744, 'n': 4, 'trace_an': 0}
-
id: 293004
{'hecke_orbit_code': 33554744, 'n': 5, 'trace_an': -2}
-
id: 293005
{'hecke_orbit_code': 33554744, 'n': 6, 'trace_an': 0}
-
id: 293006
{'hecke_orbit_code': 33554744, 'n': 7, 'trace_an': 4}
-
id: 293007
{'hecke_orbit_code': 33554744, 'n': 8, 'trace_an': 0}
-
id: 293008
{'hecke_orbit_code': 33554744, 'n': 9, 'trace_an': 1}
-
id: 293009
{'hecke_orbit_code': 33554744, 'n': 10, 'trace_an': 0}
-
id: 293010
{'hecke_orbit_code': 33554744, 'n': 11, 'trace_an': 0}
-
id: 293011
{'hecke_orbit_code': 33554744, 'n': 12, 'trace_an': 0}
-
id: 293012
{'hecke_orbit_code': 33554744, 'n': 13, 'trace_an': 1}
-
id: 293013
{'hecke_orbit_code': 33554744, 'n': 14, 'trace_an': 0}
-
id: 293014
{'hecke_orbit_code': 33554744, 'n': 15, 'trace_an': 2}
-
id: 293015
{'hecke_orbit_code': 33554744, 'n': 16, 'trace_an': 0}
-
id: 293016
{'hecke_orbit_code': 33554744, 'n': 17, 'trace_an': 2}
-
id: 293017
{'hecke_orbit_code': 33554744, 'n': 18, 'trace_an': 0}
-
id: 293018
{'hecke_orbit_code': 33554744, 'n': 19, 'trace_an': 8}
-
id: 293019
{'hecke_orbit_code': 33554744, 'n': 20, 'trace_an': 0}
-
id: 293020
{'hecke_orbit_code': 33554744, 'n': 21, 'trace_an': -4}
-
id: 293021
{'hecke_orbit_code': 33554744, 'n': 22, 'trace_an': 0}
-
id: 293022
{'hecke_orbit_code': 33554744, 'n': 23, 'trace_an': 8}
-
id: 293023
{'hecke_orbit_code': 33554744, 'n': 24, 'trace_an': 0}
-
id: 293024
{'hecke_orbit_code': 33554744, 'n': 25, 'trace_an': -1}
-
id: 293025
{'hecke_orbit_code': 33554744, 'n': 26, 'trace_an': 0}
-
id: 293026
{'hecke_orbit_code': 33554744, 'n': 27, 'trace_an': -1}
-
id: 293027
{'hecke_orbit_code': 33554744, 'n': 28, 'trace_an': 0}
-
id: 293028
{'hecke_orbit_code': 33554744, 'n': 29, 'trace_an': -2}
-
id: 293029
{'hecke_orbit_code': 33554744, 'n': 30, 'trace_an': 0}
-
id: 293030
{'hecke_orbit_code': 33554744, 'n': 31, 'trace_an': 4}
-
id: 293031
{'hecke_orbit_code': 33554744, 'n': 32, 'trace_an': 0}
-
id: 293032
{'hecke_orbit_code': 33554744, 'n': 33, 'trace_an': 0}
-
id: 293033
{'hecke_orbit_code': 33554744, 'n': 34, 'trace_an': 0}
-
id: 293034
{'hecke_orbit_code': 33554744, 'n': 35, 'trace_an': -8}
-
id: 293035
{'hecke_orbit_code': 33554744, 'n': 36, 'trace_an': 0}
-
id: 293036
{'hecke_orbit_code': 33554744, 'n': 37, 'trace_an': -10}
-
id: 293037
{'hecke_orbit_code': 33554744, 'n': 38, 'trace_an': 0}
-
id: 293038
{'hecke_orbit_code': 33554744, 'n': 39, 'trace_an': -1}
-
id: 293039
{'hecke_orbit_code': 33554744, 'n': 40, 'trace_an': 0}
-
id: 293040
{'hecke_orbit_code': 33554744, 'n': 41, 'trace_an': 2}
-
id: 293041
{'hecke_orbit_code': 33554744, 'n': 42, 'trace_an': 0}
-
id: 293042
{'hecke_orbit_code': 33554744, 'n': 43, 'trace_an': -4}
-
id: 293043
{'hecke_orbit_code': 33554744, 'n': 44, 'trace_an': 0}
-
id: 293044
{'hecke_orbit_code': 33554744, 'n': 45, 'trace_an': -2}
-
id: 293045
{'hecke_orbit_code': 33554744, 'n': 46, 'trace_an': 0}
-
id: 293046
{'hecke_orbit_code': 33554744, 'n': 47, 'trace_an': -12}
-
id: 293047
{'hecke_orbit_code': 33554744, 'n': 48, 'trace_an': 0}
-
id: 293048
{'hecke_orbit_code': 33554744, 'n': 49, 'trace_an': 9}
-
id: 293049
{'hecke_orbit_code': 33554744, 'n': 50, 'trace_an': 0}
-
id: 293050
{'hecke_orbit_code': 33554744, 'n': 51, 'trace_an': -2}
-
id: 293051
{'hecke_orbit_code': 33554744, 'n': 52, 'trace_an': 0}
-
id: 293052
{'hecke_orbit_code': 33554744, 'n': 53, 'trace_an': 6}
-
id: 293053
{'hecke_orbit_code': 33554744, 'n': 54, 'trace_an': 0}
-
id: 293054
{'hecke_orbit_code': 33554744, 'n': 55, 'trace_an': 0}
-
id: 293055
{'hecke_orbit_code': 33554744, 'n': 56, 'trace_an': 0}
-
id: 293056
{'hecke_orbit_code': 33554744, 'n': 57, 'trace_an': -8}
-
id: 293057
{'hecke_orbit_code': 33554744, 'n': 58, 'trace_an': 0}
-
id: 293058
{'hecke_orbit_code': 33554744, 'n': 59, 'trace_an': 0}
-
id: 293059
{'hecke_orbit_code': 33554744, 'n': 60, 'trace_an': 0}
-
id: 293060
{'hecke_orbit_code': 33554744, 'n': 61, 'trace_an': -2}
-
id: 293061
{'hecke_orbit_code': 33554744, 'n': 62, 'trace_an': 0}
-
id: 293062
{'hecke_orbit_code': 33554744, 'n': 63, 'trace_an': 4}
-
id: 293063
{'hecke_orbit_code': 33554744, 'n': 64, 'trace_an': 0}
-
id: 293064
{'hecke_orbit_code': 33554744, 'n': 65, 'trace_an': -2}
-
id: 293065
{'hecke_orbit_code': 33554744, 'n': 66, 'trace_an': 0}
-
id: 293066
{'hecke_orbit_code': 33554744, 'n': 67, 'trace_an': 8}
-
id: 293067
{'hecke_orbit_code': 33554744, 'n': 68, 'trace_an': 0}
-
id: 293068
{'hecke_orbit_code': 33554744, 'n': 69, 'trace_an': -8}
-
id: 293069
{'hecke_orbit_code': 33554744, 'n': 70, 'trace_an': 0}
-
id: 293070
{'hecke_orbit_code': 33554744, 'n': 71, 'trace_an': -12}
-
id: 293071
{'hecke_orbit_code': 33554744, 'n': 72, 'trace_an': 0}
-
id: 293072
{'hecke_orbit_code': 33554744, 'n': 73, 'trace_an': 10}
-
id: 293073
{'hecke_orbit_code': 33554744, 'n': 74, 'trace_an': 0}
-
id: 293074
{'hecke_orbit_code': 33554744, 'n': 75, 'trace_an': 1}
-
id: 293075
{'hecke_orbit_code': 33554744, 'n': 76, 'trace_an': 0}
-
id: 293076
{'hecke_orbit_code': 33554744, 'n': 77, 'trace_an': 0}
-
id: 293077
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id: 293950
{'hecke_orbit_code': 33554744, 'n': 951, 'trace_an': 10}
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id: 293951
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id: 293952
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id: 293953
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id: 293954
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id: 293955
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id: 293956
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id: 293957
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id: 293958
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id: 293959
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id: 293960
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id: 293961
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id: 293962
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id: 293963
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id: 293964
{'hecke_orbit_code': 33554744, 'n': 965, 'trace_an': 28}
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id: 293965
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id: 293966
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id: 293967
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id: 293968
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id: 293969
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id: 293970
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id: 293971
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id: 293972
{'hecke_orbit_code': 33554744, 'n': 973, 'trace_an': 16}
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id: 293973
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id: 293974
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id: 293975
{'hecke_orbit_code': 33554744, 'n': 976, 'trace_an': 0}
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id: 293976
{'hecke_orbit_code': 33554744, 'n': 977, 'trace_an': 10}
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id: 293977
{'hecke_orbit_code': 33554744, 'n': 978, 'trace_an': 0}
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id: 293978
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id: 293979
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id: 293980
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id: 293981
{'hecke_orbit_code': 33554744, 'n': 982, 'trace_an': 0}
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id: 293982
{'hecke_orbit_code': 33554744, 'n': 983, 'trace_an': -36}
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id: 293983
{'hecke_orbit_code': 33554744, 'n': 984, 'trace_an': 0}
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id: 293984
{'hecke_orbit_code': 33554744, 'n': 985, 'trace_an': -28}
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id: 293985
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id: 293986
{'hecke_orbit_code': 33554744, 'n': 987, 'trace_an': 48}
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id: 293987
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id: 293988
{'hecke_orbit_code': 33554744, 'n': 989, 'trace_an': -32}
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id: 293989
{'hecke_orbit_code': 33554744, 'n': 990, 'trace_an': 0}
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id: 293990
{'hecke_orbit_code': 33554744, 'n': 991, 'trace_an': 24}
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id: 293991
{'hecke_orbit_code': 33554744, 'n': 992, 'trace_an': 0}
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id: 293992
{'hecke_orbit_code': 33554744, 'n': 993, 'trace_an': -16}
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id: 293993
{'hecke_orbit_code': 33554744, 'n': 994, 'trace_an': 0}
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id: 293994
{'hecke_orbit_code': 33554744, 'n': 995, 'trace_an': -16}
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id: 293995
{'hecke_orbit_code': 33554744, 'n': 996, 'trace_an': 0}
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id: 293996
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id: 293997
{'hecke_orbit_code': 33554744, 'n': 998, 'trace_an': 0}
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id: 293998
{'hecke_orbit_code': 33554744, 'n': 999, 'trace_an': 10}
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id: 293999
{'hecke_orbit_code': 33554744, 'n': 1000, 'trace_an': 0}