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mf_newforms • Show schema
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{'Nk2': 3380, 'analytic_conductor': 6.747358970798192, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 65, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 12, 'char_parity': 1, 'char_values': [845, 12, [677, 171], [9, 5]], 'cm_discs': [], 'conrey_index': 188, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, -1, 0, 1]], [3, [4, 4, 2, 2, 1]], [7, [4, 2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504905330983757, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 3, 1, 3, 0], [1, 1, 65, 6, 1, 4, 0], [1, 1, 65, 20, 1, 12, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '845.2.t.b', 'level': 845, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 13], 'level_radical': 65, 'minimal_twist': '65.2.f.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 20, 'qexp_display': 'q+(\\zeta_{12}-\\zeta_{12}^{3})q^{2}+(\\zeta_{12}-\\zeta_{12}^{2}-\\zeta_{12}^{3})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '845.2.t', 'trace_display': [0, -2, 8, -4], 'trace_hash': 1410756562721235647, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.022', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.962', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 1, 0, -1], [0, 1, -1, -1], [-1, 0, 1, 0], [2, 0, 0, -1], [1, -1, -1, 0], [-2, 0, 2, 0], [0, 0, 0, 3], [0, 1, 0, 0], [0, 2, -1, -2], [0, 1, -1, -1], [1, 0, 0, 1], [0, 0, 0, 0], [0, 0, 0, 2], [0, 1, -3, -1], [0, 0, 1, 0], [1, 1, -1, 0], [1, 0, 0, 0], [5, 5, -5, 0], [-2, 1, 2, 0], [2, 0, 0, 2], [1, -1, -1, 0], [0, 3, 3, -3], [0, 3, 3, -3], [3, 0, 0, -4], [0, 0, 0, 0], [4, 0, 0, -4], [0, 0, -2, 0], [0, 0, 0, 0], [1, -3, -1, 0], [-5, 0, 0, 5], [0, -5, 0, 0], [0, -2, 0, 0], [1, 0, 0, -1], [-4, 2, 4, 0], [0, -1, 0, 1], [0, 0, 0, 0], [5, 0, 0, -5], [0, 0, 0, 0], [3, 0, 0, 6], [0, -7, -7, 7], [0, 2, 2, -2], [-1, 1, 1, 0], [1, 0, 0, 1], [1, 2, -1, 0], [3, 3, -3, 0], [-6, 0, 0, 0], [1, 1, -1, 0], [0, 0, 3, 0], [0, 3, -4, -3], [0, 0, 0, -2], [0, 0, 0, 0], [5, 0, 0, 5], [0, 4, -4, -4], [0, 1, -3, -1], [0, -6, 0, 0], [0, 0, 0, -10], [0, 0, 0, 0], [7, -7, -7, 0], [3, 0, 0, 1], [14, 0, -14, 0], [0, -5, 5, 5], [0, -2, 0, 2], [-7, 0, 0, 0], [0, 0, 0, 0], [-2, 0, 0, 0], [0, -4, 0, 4], [0, -1, 1, 1], [6, 0, -6, 0], [2, 0, 0, 4], [1, -1, -1, 0], [-3, 0, 3, 0], [0, 0, 0, 10], [0, 0, 0, 0], [0, -1, -7, 1], [0, -5, 5, 5], [2, 0, 0, 2], [0, 0, 0, 0], [0, 0, 0, 2], [0, 1, 2, -1], [0, 0, -5, 0], [-7, -7, 7, 0], [-6, 0, 0, 0], [-2, -2, 2, 0], [3, 1, -3, 0], [1, 0, 0, 1], [0, 0, 0, 0], [0, 3, 3, -3], [0, -5, -5, 5], [2, 0, 0, -1], [0, 0, 0, 0], [-3, 0, 0, 3], [0, 0, 10, 0], [0, -6, 0, 6], [15, 5, -15, 0], [-5, 0, 0, 5], [0, -2, 0, 0], [0, 3, 0, 0], [1, 0, 0, -1], [-3, 4, 3, 0]], 'ap': [[0, 1, 0, -1], [0, 1, -1, -1], [2, 0, 0, -1], [-2, 0, 2, 0], [0, 1, -1, -1], [0, 0, 0, 0], [1, 1, -1, 0], [5, 5, -5, 0], [0, 3, 3, -3], [0, 0, 0, 0], [-5, 0, 0, 5], [0, 0, 0, 0], [0, -7, -7, 7], [-1, 1, 1, 0], [-6, 0, 0, 0], [5, 0, 0, 5], [7, -7, -7, 0], [14, 0, -14, 0], [0, -4, 0, 4], [1, -1, -1, 0], [0, 0, 0, 10], [0, 0, 0, 2], [-6, 0, 0, 0], [0, -5, -5, 5], [0, -2, 0, 0], [0, 12, 0, -12], [-7, 0, 0, 7], [0, -7, -7, 7], [9, 0, 0, 9], [-5, -5, 5, 0], [0, -9, 9, 9], [-20, 0, 0, 0], [-16, 0, 16, 0], [0, -14, 0, 0], [3, 3, -3, 0], [-7, 0, 0, -7], [13, 0, 0, -13], [0, 4, 0, 0], [0, 0, -18, 0], [-11, 11, 11, 0], [0, 0, -20, 0], [0, 0, 0, -8], [-8, 0, 8, 0], [0, -18, 0, 18], [0, 6, 0, -6], [-8, 0, 8, 0], [0, 0, -4, 0], [0, 0, 2, 0], [0, 12, 0, 0], [-3, 0, 0, 3], [-1, 0, 0, 1], [3, 0, 0, 3], [17, 17, -17, 0], [0, -2, 0, 0], [0, 11, -11, -11], [0, 1, -1, -1], [0, 12, 0, 0], [0, 9, -9, -9], [-15, -15, 15, 0], [-1, 0, 0, -1], [0, -9, -9, 9], [0, -6, 0, 0], [-18, 0, 0, 0], [0, 0, 0, 6], [9, 0, 0, 9], [0, 0, 0, -14], [-3, 3, 3, 0], [-13, 0, 0, -13], [-3, 3, 3, 0], [0, -9, -9, 9], [0, 0, -12, 0], [1, 0, 0, -1], [0, 1, 1, -1], [15, 15, -15, 0], [0, -1, 1, 1], [-30, 0, 30, 0], [18, 0, 0, 0], [16, 0, -16, 0], [0, 11, -11, -11], [7, 7, -7, 0], [0, 38, 0, -38], [11, 0, 0, -11], [0, 13, 13, -13], [17, -17, -17, 0], [0, 0, 0, 0], [25, 0, 0, 25], [3, -3, -3, 0], [0, 2, 0, -2], [17, -17, -17, 0], [0, 0, 0, 24], [-9, 0, 0, -9], [0, 7, 7, -7], [0, -16, 0, 0], [0, -22, 0, 22], [3, 0, 0, 3], [3, 3, -3, 0], [0, 13, -13, -13], [-10, 0, 0, 0], [0, 9, -9, -9], [-9, 0, 0, -9], [-9, 0, 0, 9], [0, 0, 24, 0], [15, -15, -15, 0], [0, 0, 6, 0], [0, 0, 0, -6], [0, 0, 0, 46], [0, -4, 0, 4], [0, 0, 0, -10], [0, 0, 0, -30], [0, 0, 38, 0], [13, -13, -13, 0], [0, 0, -20, 0], [0, 22, 0, 0], [25, 0, 0, -25], [11, 11, -11, 0], [0, 24, 0, 0], [-34, 0, 34, 0], [0, -1, 1, 1], [0, 13, -13, -13], [0, 26, 0, 0], [0, -17, 17, 17], [0, -15, -15, 15], [-23, 0, 0, 23], [0, -12, 0, 0], [0, -3, -3, 3], [0, 0, 0, 12], [-29, 29, 29, 0], [-8, 0, 8, 0], [35, 0, 0, 35], [4, 0, 0, 0], [0, 3, 3, -3], [0, 0, 34, 0], [0, -50, 0, 50], [0, 35, 35, -35], [-7, -7, 7, 0], [0, -15, 15, 15], [-32, 0, 32, 0], [-22, 0, 22, 0], [17, 17, -17, 0], [0, -28, 0, 28], [27, 0, 0, -27], [0, 9, 9, -9], [-9, 9, 9, 0], [46, 0, 0, 0], [0, 0, 34, 0], [35, -35, -35, 0], [0, 0, 0, -26], [3, 0, 0, 3], [0, 0, 0, 30], [30, 0, 0, 0], [0, -38, 0, 0], [0, -52, 0, 52], [-39, 0, 0, 39], [0, 1, 1, -1], [0, 39, -39, -39], [24, 0, 0, 0], [0, -10, 0, 0], [19, 19, -19, 0], [-7, 0, 0, 7], [-21, 0, 0, 21], [0, 0, 18, 0], [13, -13, -13, 0], [0, 0, 0, 0], [60, 0, -60, 0], [0, 62, 0, -62], [0, 0, 0, 24], [0, 0, 0, 0], [-9, 9, 9, 0]], 'char_orbit_index': 20, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 4504905330983757, 'hecke_ring_character_values': [[677, [0, 0, 0, -1]], [171, [0, 1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '845.2.t.b', 'level': 845, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3380, 'analytic_conductor': 6.747358970798192, 'char_conductor': 65, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 12, 'char_parity': 1, 'char_values': [845, 12, [677, 171], [9, 5]], 'conrey_index': 188, 'cusp_dim': 308, 'dim': 268, 'eis_dim': 112, 'eis_new_dim': 80, 'hecke_cutter_primes': [2, 3, 7], 'hecke_orbit_code': 1305703613261, 'hecke_orbit_dims': [4, 4, 16, 16, 20, 20, 20, 24, 144], 'label': '845.2.t', 'level': 845, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 13], 'level_radical': 65, 'mf_dim': 420, 'mf_new_dim': 348, 'num_forms': 9, 'prim_orbit_index': 20, 'relative_dim': 67, 'sturm_bound': 182, 'trace_bound': 6, 'trace_display': [6, 2, 0, 2], 'traces': [268, 6, 2, 114, 0, 8, 2, 0, -12, 2, 16, 40, 0, 0, 20, -70, -4, 0, 20, 0, -4, -24, 6, -32, -26, 0, -76, -18, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 532876
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '65.2.f.a', 'target_level': 65, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 532877
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '65.2.f.a', 'target_level': 65, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '65.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 532878
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '65.2.k.a', 'target_level': 65, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 532879
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '65.2.k.a', 'target_level': 65, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 532880
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '325.2.f.a', 'target_level': 325, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '65.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 532881
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '325.2.f.a', 'target_level': 325, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '65.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 532882
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '325.2.k.a', 'target_level': 325, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 532883
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '325.2.k.a', 'target_level': 325, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '65.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 532884
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 14, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '585.2.n.c', 'target_level': 585, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 532885
{'conductor': 195, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 14, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '585.2.n.c', 'target_level': 585, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '195.bn', 'twisting_char_orbit': 40, 'weight': 2}
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id: 532886
{'conductor': 39, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 23, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '585.2.w.b', 'target_level': 585, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 532887
{'conductor': 195, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 23, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '585.2.w.b', 'target_level': 585, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '195.bf', 'twisting_char_orbit': 32, 'weight': 2}
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id: 532888
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '845.2.f.a', 'target_level': 845, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 532889
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '845.2.f.a', 'target_level': 845, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '65.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 532890
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '845.2.k.a', 'target_level': 845, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 532891
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '845.2.k.a', 'target_level': 845, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '65.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 532892
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '845.2.o.a', 'target_level': 845, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 532893
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '845.2.o.a', 'target_level': 845, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 532894
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '845.2.o.a', 'target_level': 845, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '65.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 532895
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '845.2.o.a', 'target_level': 845, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 532896
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '845.2.o.b', 'target_level': 845, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 532897
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '845.2.o.b', 'target_level': 845, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 532898
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '845.2.o.b', 'target_level': 845, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 532899
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '845.2.o.b', 'target_level': 845, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '65.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 532900
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '845.2.t.a', 'target_level': 845, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 532901
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '845.2.t.a', 'target_level': 845, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 532902
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '845.2.t.a', 'target_level': 845, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '65.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 532903
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '845.2.t.a', 'target_level': 845, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '65.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 532904
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '845.2.t.b', 'target_level': 845, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 532905
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '845.2.t.b', 'target_level': 845, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 532906
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '845.2.t.b', 'target_level': 845, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '65.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 532907
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '845.2.t.b', 'target_level': 845, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '65.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 532908
{'conductor': 52, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 33, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1040.2.bg.a', 'target_level': 1040, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 532909
{'conductor': 260, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 33, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1040.2.bg.a', 'target_level': 1040, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '260.bg', 'twisting_char_orbit': 33, 'weight': 2}
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id: 532910
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 56, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1040.2.cd.b', 'target_level': 1040, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 532911
{'conductor': 260, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '845.2.t.b', 'source_level': 845, 'target_char_orbit': 56, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1040.2.cd.b', 'target_level': 1040, 'twist_class_label': '65.2.f.a', 'twist_class_level': 65, 'twisting_char_label': '260.be', 'twisting_char_orbit': 31, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1400875
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 4504905330983757, 'p': 2}
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id: 1400876
{'charpoly_factorization': [[[4, 4, 2, 2, 1], 1]], 'hecke_orbit_code': 4504905330983757, 'p': 3}
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id: 1400877
{'charpoly_factorization': [[[5, -4, 1], 2]], 'hecke_orbit_code': 4504905330983757, 'p': 5}
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id: 1400878
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 4504905330983757, 'p': 7}
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id: 1400879
{'charpoly_factorization': [[[4, 4, 2, 2, 1], 1]], 'hecke_orbit_code': 4504905330983757, 'p': 11}
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id: 1400880
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504905330983757, 'p': 13}
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id: 1400881
{'charpoly_factorization': [[[4, -4, 2, -2, 1], 1]], 'hecke_orbit_code': 4504905330983757, 'p': 17}
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id: 1400882
{'charpoly_factorization': [[[2500, -500, 50, -10, 1], 1]], 'hecke_orbit_code': 4504905330983757, 'p': 19}
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id: 1400883
{'charpoly_factorization': [[[324, -108, 18, -6, 1], 1]], 'hecke_orbit_code': 4504905330983757, 'p': 23}
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id: 1400884
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504905330983757, 'p': 29}
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id: 1400885
{'charpoly_factorization': [[[50, 10, 1], 2]], 'hecke_orbit_code': 4504905330983757, 'p': 31}
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id: 1400886
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504905330983757, 'p': 37}
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id: 1400887
{'charpoly_factorization': [[[9604, 1372, 98, 14, 1], 1]], 'hecke_orbit_code': 4504905330983757, 'p': 41}
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id: 1400888
{'charpoly_factorization': [[[4, 4, 2, 2, 1], 1]], 'hecke_orbit_code': 4504905330983757, 'p': 43}
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id: 1400889
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 4504905330983757, 'p': 47}
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id: 1400890
{'charpoly_factorization': [[[50, -10, 1], 2]], 'hecke_orbit_code': 4504905330983757, 'p': 53}
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id: 1400891
{'charpoly_factorization': [[[9604, -1372, 98, -14, 1], 1]], 'hecke_orbit_code': 4504905330983757, 'p': 59}
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id: 1400892
{'charpoly_factorization': [[[196, -14, 1], 2]], 'hecke_orbit_code': 4504905330983757, 'p': 61}
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id: 1400893
{'charpoly_factorization': [[[256, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 4504905330983757, 'p': 67}
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id: 1400894
{'charpoly_factorization': [[[4, -4, 2, -2, 1], 1]], 'hecke_orbit_code': 4504905330983757, 'p': 71}
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id: 1400895
{'charpoly_factorization': [[[100, 0, 1], 2]], 'hecke_orbit_code': 4504905330983757, 'p': 73}
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id: 1400896
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 4504905330983757, 'p': 79}
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id: 1400897
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 4504905330983757, 'p': 83}
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id: 1400898
{'charpoly_factorization': [[[2500, 500, 50, 10, 1], 1]], 'hecke_orbit_code': 4504905330983757, 'p': 89}
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id: 1400899
{'charpoly_factorization': [[[16, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 4504905330983757, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 20, 'hecke_orbit': 2, 'label': '845.2.t.b', 'level': 845, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 24695221
{'hecke_orbit_code': 4504905330983757, 'n': 1, 'trace_an': 4}
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id: 24695222
{'hecke_orbit_code': 4504905330983757, 'n': 2, 'trace_an': 0}
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id: 24695223
{'hecke_orbit_code': 4504905330983757, 'n': 3, 'trace_an': -2}
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id: 24695224
{'hecke_orbit_code': 4504905330983757, 'n': 4, 'trace_an': -2}
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id: 24695225
{'hecke_orbit_code': 4504905330983757, 'n': 5, 'trace_an': 8}
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id: 24695226
{'hecke_orbit_code': 4504905330983757, 'n': 6, 'trace_an': 2}
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id: 24695227
{'hecke_orbit_code': 4504905330983757, 'n': 7, 'trace_an': -4}
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id: 24695228
{'hecke_orbit_code': 4504905330983757, 'n': 8, 'trace_an': 0}
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id: 24695229
{'hecke_orbit_code': 4504905330983757, 'n': 9, 'trace_an': 0}
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id: 24695230
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