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mf_newforms • Show schema
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{'Nk2': 1824, 'analytic_conductor': 3.6411783321703854, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [19, -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': [456, 1, [343, 229, 305, 97], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 41, 'field_disc_factorization': [[41, 1]], 'field_poly': [-10, -1, 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, [-10, 1, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543036872, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '456.2.a.e', 'level': 456, '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': [2, 3, 19], 'level_radical': 114, 'minimal_twist': '456.2.a.e', 'nf_label': '2.2.41.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}-\\beta q^{5}+(-2+\\beta )q^{7}+q^{9}+(2+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '456.2.a', 'trace_display': [0, -2, -1, -3], 'trace_hash': 2016240828038096036, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.020', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.836', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.068', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.394', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.167', 'prec': 17}, {'__RealLiteral__': 0, 'data': '54.403', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, 'traces': [2, 0, -2, 0, -1, 0, -3, 0, 2, 0, 3, 0, 12, 0, 1, 0, 1, 0, 2, 0, 3, 0, 8, 0, 11, 0, -2, 0, 4, 0, 6, 0, -3, 0, -19, 0, 6, 0, -12, 0, 6, 0, 1, 0, -1, 0, 5, 0, 11, 0, -1, 0, -12, 0, 19, 0, -2, 0, -8, 0, 9, 0, -3, 0, -6, 0, -24, 0, -8, 0, 0, 0, 7, 0, -11, 0, -25, 0, 4, 0, 2, 0, 4, 0, -21, 0, -4, 0, 0, 0, -18, 0, -6, 0, -1, 0, -12, 0, 3, 0, 8, 0, -6, 0, 19, 0, -2, 0, 6, 0, -6, 0, -36, 0, -4, 0, 12, 0, 19, 0, 3, 0, -6, 0, -21, 0, 6, 0, -1, 0, -19, 0, -3, 0, 1, 0, -15, 0, 37, 0, -5, 0, 18, 0, -2, 0, -11, 0, 21, 0, -20, 0, 1, 0, 38, 0, -4, 0, 12, 0, -12, 0, -4, 0, -19, 0, 2, 0, 46, 0, 2, 0, 8, 0, 4, 0, 8, 0, 2, 0, 16, 0, -9, 0, -44, 0, -19, 0, 3, 0, 3, 0, 10, 0, 6, 0, 44, 0, 13, 0, 24, 0, -6, 0, -44, 0, 8, 0, 3, 0, -12, 0, 0, 0, 61, 0, -50, 0, -7, 0, 6, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [-1, 0], [0, 0], [0, -1], [0, 0], [-2, 1], [0, 0], [1, 0], [0, 0], [2, -1], [0, 0], [6, 0], [0, 0], [0, 1], [0, 0], [0, 1], [0, 0], [1, 0], [0, 0], [2, -1], [0, 0], [4, 0], [0, 0], [5, 1], [0, 0], [-1, 0], [0, 0], [2, 0], [0, 0], [4, -2], [0, 0], [-2, 1], [0, 0], [-10, 1], [0, 0], [2, 2], [0, 0], [-6, 0], [0, 0], [2, 2], [0, 0], [2, -3], [0, 0], [0, -1], [0, 0], [2, 1], [0, 0], [7, -3], [0, 0], [0, -1], [0, 0], [-6, 0], [0, 0], [10, -1], [0, 0], [-1, 0], [0, 0], [-4, 0], [0, 0], [4, 1], [0, 0], [-2, 1], [0, 0], [0, -6], [0, 0], [-12, 0], [0, 0], [-4, 0], [0, 0], [0, 0], [0, 0], [4, -1], [0, 0], [-5, -1], [0, 0], [-14, 3], [0, 0], [0, 4], [0, 0], [1, 0], [0, 0], [0, 4], [0, 0], [-10, -1], [0, 0], [-2, 0], [0, 0], [-2, 4], [0, 0], [-12, 6], [0, 0], [-4, 2], [0, 0], [0, -1], [0, 0], [-6, 0], [0, 0], [2, -1], [0, 0]], 'ap': [[0, 0], [-1, 0], [0, -1], [-2, 1], [2, -1], [6, 0], [0, 1], [1, 0], [4, 0], [2, 0], [4, -2], [2, 2], [2, 2], [2, -3], [2, 1], [-6, 0], [-4, 0], [4, 1], [-12, 0], [0, 0], [4, -1], [0, 4], [0, 4], [-2, 4], [-6, 0], [6, -4], [-4, 2], [0, -2], [2, 2], [-18, 0], [4, -2], [-10, 1], [-8, 1], [18, 1], [12, -3], [-8, -4], [-2, 0], [-4, 4], [4, -6], [2, 4], [0, 2], [6, 4], [-2, 7], [6, -2], [22, 0], [6, 1], [-4, -4], [16, -4], [-16, -2], [-8, -5], [-4, 3], [6, 3], [-10, 2], [22, 1], [-14, 2], [2, 1], [10, 0], [0, -4], [0, -1], [-10, -4], [-6, 1], [-18, 2], [-12, -4], [-14, 5], [18, -4], [-2, -2], [-20, 4], [2, -4], [-18, 1], [-16, 3], [18, 4], [-18, -5], [8, 0], [2, 2], [-16, 2], [4, -6], [-16, 7], [16, -5], [-6, -6], [2, 0], [8, -4], [-10, -4], [-20, -2], [2, -8], [12, 2], [6, 5], [-6, -2], [-24, -3], [20, -3], [-6, -5], [-26, -3], [12, -4], [16, 4], [-8, 0], [-2, 7], [-28, 4], [-22, 8], [18, 2], [0, 6], [-4, -11], [8, 10], [-36, 1], [-4, 0], [-10, -4], [12, 4], [16, 5], [6, 1], [2, 0], [0, 4], [6, -6], [12, -6], [-24, -5], [-16, 5], [12, 0], [22, 5], [-2, 0], [-6, 5], [-34, -1], [20, -3], [24, 2], [-22, 6], [-2, 2], [2, -4], [-32, 6], [-2, -5], [14, 4], [6, -8], [22, -1], [2, -5], [-10, 4], [26, 1], [-8, -4], [8, -8], [28, 1], [8, -7], [0, 13], [6, -10], [28, -4], [-18, -2], [-20, 11], [-8, -2], [28, 5], [14, 9], [-12, 12], [-6, 6], [-4, 10], [14, 4], [26, -10], [34, 1], [-16, 4], [-42, 4], [24, -3], [26, -7], [-8, 8], [0, -10], [-12, 6], [-8, 8], [26, -4], [4, -1], [10, 0], [8, -4], [2, -2], [40, 0], [20, 0], [-18, 0], [0, -12], [-48, 0], [24, 3]], 'char_orbit_index': 1, 'field_poly': [-10, -1, 1], 'hecke_orbit_code': 18014398543036872, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '456.2.a.e', 'level': 456, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [0, 3, 1, 1, 0, 1, 0, 2], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [7, 8, 7, 8, 12, 6, 10, 7], 'Nk2': 1824, 'analytic_conductor': 3.6411783321703854, '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': [456, 1, [343, 229, 305, 97], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 73, 'dim': 8, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 33554888, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2], 'label': '456.2.a', 'level': 456, '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': [2, 3, 19], 'level_radical': 114, 'mf_dim': 88, 'mf_new_dim': 8, 'num_forms': 6, 'plus_dim': 2, 'prim_orbit_index': 1, 'relative_dim': 8, 'sturm_bound': 160, 'trace_bound': 5, 'trace_display': [0, 0, 4, -4], 'traces': [8, 0, 0, 0, 4, 0, -4, 0, 8, 0, 0, 0, 4, 0, -4, 0, 4, 0, 6, 0, 0, 0, 12, 0, 20, 0, 0, 0, -4, 0, -12, 0, 12, 0, 12, 0, 4, 0, -8, 0, -4, 0, 4, 0, 4, 0, 24, 0, 12, 0, -8, 0, -12, 0, -4, 0, -2, 0, 16, 0, -20, 0, -4, 0, -32, 0, -32, 0, 0, 0, 0, 0, 4, 0, -16, 0, -28, 0, 12, 0, 8, 0, -12, 0, -4, 0, -4, 0, -36, 0, -40, 0, -8, 0, 0, 0, -16, 0, 0, 0, 24, 0, -12, 0, 24, 0, -24, 0, 4, 0, -16, 0, -12, 0, -24, 0, 4, 0, 36, 0, 12, 0, -4, 0, -12, 0, -12, 0, 16, 0, -8, 0, -4, 0, -4, 0, -44, 0, 12, 0, 0, 0, 56, 0, 56, 0, -32, 0, -12, 0, -4, 0, 4, 0, 32, 0, -32, 0, 4, 0, -48, 0, -24, 0, 0, 0, -16, 0, 32, 0, 6, 0, -36, 0, 56, 0, 32, 0, 16, 0, 44, 0, -8, 0, -56, 0, -4, 0, 0, 0, 24, 0, -16, 0, 16, 0, 80, 0, 12, 0, 8, 0, 72, 0, -16, 0, 12, 0, 0, 0, 8, 0, -16, 0, 28, 0, -8, 0, -32, 0, 48, 0, 20, 0, 20, 0, -72, 0, -44, 0, 24, 0, -44, 0, -36, 0, -32, 0, 88, 0, 24, 0, 0, 0, 80, 0, 0, 0, 20, 0, 32, 0, 72, 0, -8, 0, -36, 0, 16, 0, -4, 0, -16, 0, -8, 0, 12, 0, 44, 0, 40, 0, 16, 0, -44, 0, 4, 0, -12, 0, -20, 0, 84, 0, -8, 0, 48, 0, 28, 0, -24, 0, 52, 0, -16, 0, 12, 0, 96, 0, -44, 0, -4, 0, -60, 0, -24, 0, -16, 0, -56, 0, -8, 0, 12, 0, -28, 0, 0, 0, -32, 0, 0, 0, 4, 0, 40, 0, -36, 0, -8, 0, 4, 0, -32, 0, -24, 0, 44, 0, 80, 0, -20, 0, 24, 0, -40, 0, -28, 0, -8, 0, -40, 0, 32, 0, -56, 0, -88, 0, 8, 0, -32, 0, 76, 0, -56, 0, -4, 0, -56, 0, -28, 0, 0, 0, -24, 0, -32, 0, -24, 0, 24, 0, -84, 0, 4, 0, 4, 0, 40, 0, 36, 0, -72, 0, -44, 0, 0, 0, -36, 0, 48, 0, 4, 0, -112, 0, 80, 0, 8, 0, -16, 0, -176, 0, -40, 0, -4, 0, 20, 0, 24, 0, 48, 0, -4, 0, -32, 0, -16, 0, 40, 0, 56, 0, 12, 0, 124, 0, 12, 0, 56, 0, -136, 0, -20, 0, 28, 0, -24, 0, 0, 0, -216, 0, -12, 0, -8, 0, 116, 0, 20, 0, -40, 0, -96, 0, 32, 0, 24, 0, 84, 0, 22, 0, -12, 0, -12, 0, 24, 0, 48, 0, -8, 0, -28, 0, 72, 0, 60, 0, -48, 0, -4, 0, 0, 0, -12, 0, -32, 0, -12, 0, 64, 0, -48, 0, 84, 0, -12, 0, -2, 0, -16, 0, -92, 0, -28, 0, 36, 0, -88, 0, -64, 0, -16, 0, 0, 0, 16, 0, 56, 0, 40, 0, -24, 0, 4, 0, 12, 0, -24, 0, -136, 0, -16, 0, -20, 0, -8, 0, 80, 0, 0, 0, 4, 0, -40, 0, 72, 0, -72, 0, 40, 0, -4, 0, 20, 0, 16, 0, -32, 0, -76, 0, -12, 0, 48, 0, 16, 0, -32, 0, -32, 0, -32, 0, -4, 0, -4, 0, 96, 0, 44, 0, -16, 0, 136, 0, 40, 0, -32, 0, 48, 0, 140, 0, 32, 0, -56, 0, -84, 0, 120, 0, 4, 0, 40, 0, 0, 0, 40, 0, -56, 0, 12, 0, 24, 0, 4, 0, 24, 0, 32, 0, -4, 0, 0, 0, -52, 0, 100, 0, -104, 0, -64, 0, 64, 0, 16, 0, 116, 0, 68, 0, 4, 0, 56, 0, -92, 0, 80, 0, 12, 0, -64, 0, -48, 0, 100, 0, -80, 0, -16, 0, 84, 0, 24, 0, 64, 0, 32, 0, 12, 0, 56, 0, 40, 0, 92, 0, -28, 0, 44, 0, 8, 0, 24, 0, 88, 0, 0, 0, 8, 0, -72, 0, 32, 0, 12, 0, -40, 0, 136, 0, 8, 0, 80, 0, 24, 0, 40, 0, 76, 0, 44, 0, 8, 0, -124, 0, -40, 0, -108, 0, -32, 0, 92, 0, -12, 0, -8, 0, -44, 0, -12, 0, -72, 0, -4, 0, -36, 0, 136, 0, 36, 0, 40, 0, 68, 0, -16, 0, -4, 0, -80, 0, -4, 0, 52, 0, -52, 0, 52, 0, -80, 0, -16, 0, -32, 0, -4, 0, -120, 0, 56, 0, 24, 0, 24, 0, 176, 0, 8, 0, 44, 0, -140, 0, -36, 0, -100, 0, -192, 0, -12, 0, -76, 0, -128, 0, 16, 0, -160, 0, 12, 0, -40, 0, 20, 0, 4, 0, 12, 0, 56, 0, 36, 0, -72, 0, -56, 0, 136, 0, -8, 0, 0, 0, -8, 0, 20, 0, 28, 0, -112, 0, 80, 0, -112, 0, 32, 0, 0, 0, 36, 0, 60, 0, 32, 0, -8, 0, 8, 0, 48, 0, -104, 0, -128, 0, -16, 0, 84, 0, -196, 0, 68, 0, 36, 0, -68, 0, 0, 0, 56, 0, -72, 0, 0, 0, 24, 0, 24, 0, -32, 0, 80, 0, 96, 0, -16, 0, -32, 0, -72, 0, 24, 0, -144, 0, 32, 0, 80, 0, 204, 0, 48, 0, -16, 0, 0, 0, 156, 0, -12, 0, 64, 0, 26, 0, 32, 0, -196, 0, 4, 0, -32, 0, -124, 0, 48, 0, 24, 0, 92, 0, -96, 0, -76, 0, 84, 0, -156, 0, -56, 0, 116, 0, -16, 0, -24, 0, 16, 0, 104, 0, -12, 0, 32, 0, 116, 0, -56, 0, -28, 0, -16, 0, 4, 0, -32, 0, -64, 0, 8, 0, -128, 0, -196, 0, 32, 0, -4, 0, 44, 0, -16, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 335454
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '456.2.a.e', 'source_level': 456, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '456.2.a.e', 'target_level': 456, 'twist_class_label': '456.2.a.e', 'twist_class_level': 456, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 335455
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '456.2.a.e', 'source_level': 456, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '912.2.a.o', 'target_level': 912, 'twist_class_label': '456.2.a.e', 'twist_class_level': 456, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 335456
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '456.2.a.e', 'source_level': 456, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1368.2.a.l', 'target_level': 1368, 'twist_class_label': '456.2.a.e', 'twist_class_level': 456, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 335457
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '456.2.a.e', 'source_level': 456, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '2736.2.a.bb', 'target_level': 2736, 'twist_class_label': '456.2.a.e', 'twist_class_level': 456, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 335458
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '456.2.a.e', 'source_level': 456, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '3648.2.a.bn', 'target_level': 3648, 'twist_class_label': '456.2.a.e', 'twist_class_level': 456, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 335459
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '456.2.a.e', 'source_level': 456, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '3648.2.a.bs', 'target_level': 3648, 'twist_class_label': '456.2.a.e', 'twist_class_level': 456, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 335460
{'conductor': 19, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '456.2.a.e', 'source_level': 456, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '8664.2.a.v', 'target_level': 8664, 'twist_class_label': '456.2.a.e', 'twist_class_level': 456, 'twisting_char_label': '19.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 919125
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014398543036872, 'p': 2}
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id: 919126
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 18014398543036872, 'p': 3}
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id: 919127
{'charpoly_factorization': [[[-10, 1, 1], 1]], 'hecke_orbit_code': 18014398543036872, 'p': 5}
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id: 919128
{'charpoly_factorization': [[[-8, 3, 1], 1]], 'hecke_orbit_code': 18014398543036872, 'p': 7}
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id: 919129
{'charpoly_factorization': [[[-8, -3, 1], 1]], 'hecke_orbit_code': 18014398543036872, 'p': 11}
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id: 919130
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 18014398543036872, 'p': 13}
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id: 919131
{'charpoly_factorization': [[[-10, -1, 1], 1]], 'hecke_orbit_code': 18014398543036872, 'p': 17}
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id: 919132
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 18014398543036872, 'p': 19}
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id: 919133
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 18014398543036872, 'p': 23}
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id: 919134
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 18014398543036872, 'p': 29}
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id: 919135
{'charpoly_factorization': [[[-32, -6, 1], 1]], 'hecke_orbit_code': 18014398543036872, 'p': 31}
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id: 919136
{'charpoly_factorization': [[[-32, -6, 1], 1]], 'hecke_orbit_code': 18014398543036872, 'p': 37}
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id: 919137
{'charpoly_factorization': [[[-32, -6, 1], 1]], 'hecke_orbit_code': 18014398543036872, 'p': 41}
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id: 919138
{'charpoly_factorization': [[[-92, -1, 1], 1]], 'hecke_orbit_code': 18014398543036872, 'p': 43}
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id: 919139
{'charpoly_factorization': [[[-4, -5, 1], 1]], 'hecke_orbit_code': 18014398543036872, 'p': 47}
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id: 919140
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 18014398543036872, 'p': 53}
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id: 919141
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 18014398543036872, 'p': 59}
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id: 919142
{'charpoly_factorization': [[[10, -9, 1], 1]], 'hecke_orbit_code': 18014398543036872, 'p': 61}
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id: 919143
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 18014398543036872, 'p': 67}
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id: 919144
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014398543036872, 'p': 71}
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id: 919145
{'charpoly_factorization': [[[2, -7, 1], 1]], 'hecke_orbit_code': 18014398543036872, 'p': 73}
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id: 919146
{'charpoly_factorization': [[[-160, -4, 1], 1]], 'hecke_orbit_code': 18014398543036872, 'p': 79}
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id: 919147
{'charpoly_factorization': [[[-160, -4, 1], 1]], 'hecke_orbit_code': 18014398543036872, 'p': 83}
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id: 919148
{'charpoly_factorization': [[[-164, 0, 1], 1]], 'hecke_orbit_code': 18014398543036872, 'p': 89}
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id: 919149
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 18014398543036872, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '456.2.a.e', 'level': 456, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 37901467
{'hecke_orbit_code': 18014398543036872, 'n': 1, 'trace_an': 2}
-
id: 37901468
{'hecke_orbit_code': 18014398543036872, 'n': 2, 'trace_an': 0}
-
id: 37901469
{'hecke_orbit_code': 18014398543036872, 'n': 3, 'trace_an': -2}
-
id: 37901470
{'hecke_orbit_code': 18014398543036872, 'n': 4, 'trace_an': 0}
-
id: 37901471
{'hecke_orbit_code': 18014398543036872, 'n': 5, 'trace_an': -1}
-
id: 37901472
{'hecke_orbit_code': 18014398543036872, 'n': 6, 'trace_an': 0}
-
id: 37901473
{'hecke_orbit_code': 18014398543036872, 'n': 7, 'trace_an': -3}
-
id: 37901474
{'hecke_orbit_code': 18014398543036872, 'n': 8, 'trace_an': 0}
-
id: 37901475
{'hecke_orbit_code': 18014398543036872, 'n': 9, 'trace_an': 2}
-
id: 37901476
{'hecke_orbit_code': 18014398543036872, 'n': 10, 'trace_an': 0}
-
id: 37901477
{'hecke_orbit_code': 18014398543036872, 'n': 11, 'trace_an': 3}
-
id: 37901478
{'hecke_orbit_code': 18014398543036872, 'n': 12, 'trace_an': 0}
-
id: 37901479
{'hecke_orbit_code': 18014398543036872, 'n': 13, 'trace_an': 12}
-
id: 37901480
{'hecke_orbit_code': 18014398543036872, 'n': 14, 'trace_an': 0}
-
id: 37901481
{'hecke_orbit_code': 18014398543036872, 'n': 15, 'trace_an': 1}
-
id: 37901482
{'hecke_orbit_code': 18014398543036872, 'n': 16, 'trace_an': 0}
-
id: 37901483
{'hecke_orbit_code': 18014398543036872, 'n': 17, 'trace_an': 1}
-
id: 37901484
{'hecke_orbit_code': 18014398543036872, 'n': 18, 'trace_an': 0}
-
id: 37901485
{'hecke_orbit_code': 18014398543036872, 'n': 19, 'trace_an': 2}
-
id: 37901486
{'hecke_orbit_code': 18014398543036872, 'n': 20, 'trace_an': 0}
-
id: 37901487
{'hecke_orbit_code': 18014398543036872, 'n': 21, 'trace_an': 3}
-
id: 37901488
{'hecke_orbit_code': 18014398543036872, 'n': 22, 'trace_an': 0}
-
id: 37901489
{'hecke_orbit_code': 18014398543036872, 'n': 23, 'trace_an': 8}
-
id: 37901490
{'hecke_orbit_code': 18014398543036872, 'n': 24, 'trace_an': 0}
-
id: 37901491
{'hecke_orbit_code': 18014398543036872, 'n': 25, 'trace_an': 11}
-
id: 37901492
{'hecke_orbit_code': 18014398543036872, 'n': 26, 'trace_an': 0}
-
id: 37901493
{'hecke_orbit_code': 18014398543036872, 'n': 27, 'trace_an': -2}
-
id: 37901494
{'hecke_orbit_code': 18014398543036872, 'n': 28, 'trace_an': 0}
-
id: 37901495
{'hecke_orbit_code': 18014398543036872, 'n': 29, 'trace_an': 4}
-
id: 37901496
{'hecke_orbit_code': 18014398543036872, 'n': 30, 'trace_an': 0}
-
id: 37901497
{'hecke_orbit_code': 18014398543036872, 'n': 31, 'trace_an': 6}
-
id: 37901498
{'hecke_orbit_code': 18014398543036872, 'n': 32, 'trace_an': 0}
-
id: 37901499
{'hecke_orbit_code': 18014398543036872, 'n': 33, 'trace_an': -3}
-
id: 37901500
{'hecke_orbit_code': 18014398543036872, 'n': 34, 'trace_an': 0}
-
id: 37901501
{'hecke_orbit_code': 18014398543036872, 'n': 35, 'trace_an': -19}
-
id: 37901502
{'hecke_orbit_code': 18014398543036872, 'n': 36, 'trace_an': 0}
-
id: 37901503
{'hecke_orbit_code': 18014398543036872, 'n': 37, 'trace_an': 6}
-
id: 37901504
{'hecke_orbit_code': 18014398543036872, 'n': 38, 'trace_an': 0}
-
id: 37901505
{'hecke_orbit_code': 18014398543036872, 'n': 39, 'trace_an': -12}
-
id: 37901506
{'hecke_orbit_code': 18014398543036872, 'n': 40, 'trace_an': 0}
-
id: 37901507
{'hecke_orbit_code': 18014398543036872, 'n': 41, 'trace_an': 6}
-
id: 37901508
{'hecke_orbit_code': 18014398543036872, 'n': 42, 'trace_an': 0}
-
id: 37901509
{'hecke_orbit_code': 18014398543036872, 'n': 43, 'trace_an': 1}
-
id: 37901510
{'hecke_orbit_code': 18014398543036872, 'n': 44, 'trace_an': 0}
-
id: 37901511
{'hecke_orbit_code': 18014398543036872, 'n': 45, 'trace_an': -1}
-
id: 37901512
{'hecke_orbit_code': 18014398543036872, 'n': 46, 'trace_an': 0}
-
id: 37901513
{'hecke_orbit_code': 18014398543036872, 'n': 47, 'trace_an': 5}
-
id: 37901514
{'hecke_orbit_code': 18014398543036872, 'n': 48, 'trace_an': 0}
-
id: 37901515
{'hecke_orbit_code': 18014398543036872, 'n': 49, 'trace_an': 11}
-
id: 37901516
{'hecke_orbit_code': 18014398543036872, 'n': 50, 'trace_an': 0}
-
id: 37901517
{'hecke_orbit_code': 18014398543036872, 'n': 51, 'trace_an': -1}
-
id: 37901518
{'hecke_orbit_code': 18014398543036872, 'n': 52, 'trace_an': 0}
-
id: 37901519
{'hecke_orbit_code': 18014398543036872, 'n': 53, 'trace_an': -12}
-
id: 37901520
{'hecke_orbit_code': 18014398543036872, 'n': 54, 'trace_an': 0}
-
id: 37901521
{'hecke_orbit_code': 18014398543036872, 'n': 55, 'trace_an': 19}
-
id: 37901522
{'hecke_orbit_code': 18014398543036872, 'n': 56, 'trace_an': 0}
-
id: 37901523
{'hecke_orbit_code': 18014398543036872, 'n': 57, 'trace_an': -2}
-
id: 37901524
{'hecke_orbit_code': 18014398543036872, 'n': 58, 'trace_an': 0}
-
id: 37901525
{'hecke_orbit_code': 18014398543036872, 'n': 59, 'trace_an': -8}
-
id: 37901526
{'hecke_orbit_code': 18014398543036872, 'n': 60, 'trace_an': 0}
-
id: 37901527
{'hecke_orbit_code': 18014398543036872, 'n': 61, 'trace_an': 9}
-
id: 37901528
{'hecke_orbit_code': 18014398543036872, 'n': 62, 'trace_an': 0}
-
id: 37901529
{'hecke_orbit_code': 18014398543036872, 'n': 63, 'trace_an': -3}
-
id: 37901530
{'hecke_orbit_code': 18014398543036872, 'n': 64, 'trace_an': 0}
-
id: 37901531
{'hecke_orbit_code': 18014398543036872, 'n': 65, 'trace_an': -6}
-
id: 37901532
{'hecke_orbit_code': 18014398543036872, 'n': 66, 'trace_an': 0}
-
id: 37901533
{'hecke_orbit_code': 18014398543036872, 'n': 67, 'trace_an': -24}
-
id: 37901534
{'hecke_orbit_code': 18014398543036872, 'n': 68, 'trace_an': 0}
-
id: 37901535
{'hecke_orbit_code': 18014398543036872, 'n': 69, 'trace_an': -8}
-
id: 37901536
{'hecke_orbit_code': 18014398543036872, 'n': 70, 'trace_an': 0}
-
id: 37901537
{'hecke_orbit_code': 18014398543036872, 'n': 71, 'trace_an': 0}
-
id: 37901538
{'hecke_orbit_code': 18014398543036872, 'n': 72, 'trace_an': 0}
-
id: 37901539
{'hecke_orbit_code': 18014398543036872, 'n': 73, 'trace_an': 7}
-
id: 37901540
{'hecke_orbit_code': 18014398543036872, 'n': 74, 'trace_an': 0}
-
id: 37901541
{'hecke_orbit_code': 18014398543036872, 'n': 75, 'trace_an': -11}
-
id: 37901542
{'hecke_orbit_code': 18014398543036872, 'n': 76, 'trace_an': 0}
-
id: 37901543
{'hecke_orbit_code': 18014398543036872, 'n': 77, 'trace_an': -25}
-
id: 37901544
{'hecke_orbit_code': 18014398543036872, 'n': 78, 'trace_an': 0}
-
id: 37901545
{'hecke_orbit_code': 18014398543036872, 'n': 79, 'trace_an': 4}
-
id: 37901546
{'hecke_orbit_code': 18014398543036872, 'n': 80, 'trace_an': 0}
-
id: 37901547
{'hecke_orbit_code': 18014398543036872, 'n': 81, 'trace_an': 2}
-
id: 37901548
{'hecke_orbit_code': 18014398543036872, 'n': 82, 'trace_an': 0}
-
id: 37901549
{'hecke_orbit_code': 18014398543036872, 'n': 83, 'trace_an': 4}
-
id: 37901550
{'hecke_orbit_code': 18014398543036872, 'n': 84, 'trace_an': 0}
-
id: 37901551
{'hecke_orbit_code': 18014398543036872, 'n': 85, 'trace_an': -21}
-
id: 37901552
{'hecke_orbit_code': 18014398543036872, 'n': 86, 'trace_an': 0}
-
id: 37901553
{'hecke_orbit_code': 18014398543036872, 'n': 87, 'trace_an': -4}
-
id: 37901554
{'hecke_orbit_code': 18014398543036872, 'n': 88, 'trace_an': 0}
-
id: 37901555
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id: 37901575
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id: 37901579
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id: 37901580
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id: 37901581
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id: 37901582
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id: 37901583
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id: 37901584
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id: 37901585
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id: 37901586
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id: 37901587
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id: 37901588
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id: 37901589
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id: 37901590
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id: 37901591
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id: 37901592
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id: 37901593
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id: 37901594
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id: 37901595
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id: 37901596
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id: 37901597
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id: 37901599
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id: 37901600
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id: 37901601
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id: 37901602
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id: 37901603
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id: 37901604
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id: 37901605
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id: 37901606
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id: 37901607
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id: 37901608
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id: 37901609
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id: 37901610
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id: 37901611
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id: 37901612
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id: 37901613
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id: 37901614
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id: 37901615
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id: 37901616
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id: 37901617
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id: 37901618
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id: 37901619
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id: 37901620
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id: 37901621
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id: 37901622
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id: 37901623
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id: 37901624
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id: 37901625
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id: 37901626
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id: 37901627
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id: 37901628
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id: 37901629
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id: 37901630
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id: 37901631
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id: 37901632
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id: 37901633
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id: 37901634
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id: 37901635
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id: 37901636
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id: 37901637
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id: 37901638
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id: 37901639
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id: 37901640
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id: 37901641
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id: 37901642
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id: 37901643
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id: 37901644
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id: 37901645
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id: 37901646
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id: 37901647
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id: 37901648
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id: 37901649
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id: 37901650
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id: 37901651
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id: 37901652
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id: 37901653
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id: 37901654
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id: 37901655
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id: 37901656
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id: 37901657
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id: 37901658
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id: 37901659
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id: 37901660
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id: 37901661
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id: 37901662
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id: 37901663
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id: 37901664
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id: 37901665
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id: 37901666
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id: 37901667
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id: 37901668
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id: 37901669
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id: 37901670
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id: 37901671
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id: 37901672
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id: 37901682
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id: 37901685
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id: 37901700
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id: 37901701
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id: 37901702
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id: 37901710
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id: 37901711
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id: 37901712
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id: 37901715
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id: 37901719
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id: 37901720
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id: 37901721
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id: 37901722
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id: 37901723
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id: 37901724
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