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mf_newforms • Show schema
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{'Nk2': 768, 'analytic_conductor': 1.5331277188085835, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 48, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': 1, 'char_values': [192, 4, [127, 133, 65], [2, 3, 2]], 'cm_discs': [], 'conrey_index': 47, 'conrey_indexes': [47, 143], 'dim': 12, 'field_disc': 163368480538624, 'field_disc_factorization': [[2, 22], [79, 4]], 'field_poly': [64, 0, -32, 0, -8, 0, 16, 0, -2, 0, -2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 687228321984, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 128, 'hecke_ring_index_factorization': [[2, 7]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 16, 6, -1, 4, 0], [1, 1, 48, 11, 1, 4, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '192.2.k.a', 'level': 192, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '48.2.k.a', 'nf_label': '12.0.163368480538624.2', 'prim_orbit_index': 11, 'qexp_display': 'q-\\beta _{10}q^{3}+\\beta _{7}q^{5}+(1-\\beta _{11})q^{7}+(\\beta _{3}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '192.2.k', 'trace_display': [0, 2, 0, 8], 'trace_hash': 6430657306441003, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.359', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '840.848', 'prec': 24}, {'__RealLiteral__': 0, 'data': '556.454', 'prec': 24}, {'__RealLiteral__': 0, 'data': '122236.672', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.627', 'prec': 17}, 'traces': [12, 0, 2, 0, 0, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 12, 0, -8, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, -20, 0, 0, 0, -12, 0, -12, 0, 0, 0, -20, 0, -24, 0, 0, 0, -24, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -28, 0, 4, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, -4, 0, 0, 0, 32, 0, 60, 0, 0, 0, 56, 0, 28, 0, 0, 0, -8, 0, 52, 0, 0, 0, 56, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 24, 0, 40, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 12, 0, 0, 0, -32, 0, -76, 0, 0, 0, -68, 0, 16, 0, 0, 0, -8, 0, -38, 0, 0, 0, -104, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -68, 0, -20, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 12, 0, 0, 0, -52, 0, 92, 0, 0, 0, 16, 0, -56, 0, 0, 0, 24, 0, 44, 0, 0, 0, 72, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 100, 0, -60, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 32, 0, 0, 0, 12, 0, -80, 0, 0, 0, -64, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, -1, 0, 0, -1, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, -1, 0, 0, 0, -1, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 1, 0, -1, 1, 1, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, -1, 0, 1, -1, 0, -1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, -1, 0, 1, 0, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, -1, -1, 0, 0, 0, 0, -1, 1, 0, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, -1, -1, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 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6, 3, 0, 0, 0, -6, 0, -3], [1, 1, 0, 11, 0, -3, 0, 0, 0, 0, -11, -3], [0, 0, -6, 0, 2, 0, -5, 0, -6, 2, 0, 0], [0, 0, -5, -5, 0, 0, 0, 8, 5, 0, -5, 0], [0, 0, 0, 10, -10, 0, -3, -3, -6, -10, 10, 0], [8, -8, 0, 0, 1, -8, 0, 0, 0, -1, 0, 8], [8, 0, 0, -1, 1, 0, 0, 0, 0, -1, 1, -8], [0, 0, -10, 0, -5, 0, 4, 0, -10, -5, 0, 0], [0, 0, -8, -4, -4, 0, 4, -4, 0, -4, -4, 0], [0, 0, 10, 9, 9, 0, -12, 12, 0, 9, 9, 0], [0, -6, 0, 6, 6, -10, 0, 0, 0, -6, -6, 0], [0, 1, 0, -5, -5, -1, 0, 0, 0, 5, 5, 0], [-2, -2, 0, 10, 0, -5, 0, 0, 0, 0, -10, -5], [0, 0, 0, -3, 3, 0, -4, -4, -2, 3, -3, 0], [4, -4, 0, 0, 5, 0, 0, 0, 0, -5, 0, 0], [-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5], [0, 0, -8, -7, -7, 0, 7, -7, 0, -7, -7, 0], [-11, -11, 0, -1, 0, 5, 0, 0, 0, 0, 1, 5], [0, 0, 6, -3, -3, 0, -4, 4, 0, -3, -3, 0], [0, 0, 4, 0, 14, 0, 3, 0, 4, 14, 0, 0], [0, 0, 2, -1, 0, 0, 0, 0, -2, 0, -1, 0], [18, 18, 0, -10, 0, 3, 0, 0, 0, 0, 10, 3], [2, 0, 0, -5, 5, 0, 0, 0, 0, -5, 5, 10], [0, 0, 2, 2, 0, 0, 0, -5, -2, 0, 2, 0], [0, 0, 1, 0, 7, 0, 4, 0, 1, 7, 0, 0], [-3, -3, 0, -9, 0, 1, 0, 0, 0, 0, 9, 1], [0, 0, -2, 0, -6, 0, -5, 0, -2, -6, 0, 0], [-8, -8, 0, -2, 0, 9, 0, 0, 0, 0, 2, 9], [0, 0, 0, 4, -4, 0, -4, -4, -8, -4, 4, 0], [-19, 0, 0, 2, -2, 0, 0, 0, 0, 2, -2, -1], [-10, 10, 0, 0, 8, -5, 0, 0, 0, -8, 0, 5], [-6, -6, 0, -7, 0, -2, 0, 0, 0, 0, 7, -2], [0, 0, -6, 1, 1, 0, 4, -4, 0, 1, 1, 0], [0, -5, 0, -7, -7, 9, 0, 0, 0, 7, 7, 0], [-10, -10, 0, 0, 0, -7, 0, 0, 0, 0, 0, -7], [0, 0, 0, -4, 4, 0, 3, 3, 10, 4, -4, 0], [-4, 0, 0, -8, 8, 0, 0, 0, 0, -8, 8, 2], [0, 0, 6, 10, 0, 0, 0, -5, -6, 0, 10, 0], [9, 9, 0, -5, 0, -7, 0, 0, 0, 0, 5, -7], [0, 0, -2, 0, -6, 0, 3, 0, -2, -6, 0, 0], [0, 0, 0, -12, 12, 0, -5, -5, 10, 12, -12, 0], [-5, 5, 0, 0, -9, 1, 0, 0, 0, 9, 0, -1], [0, 0, -6, -18, 0, 0, 0, -9, 6, 0, -18, 0], [13, 0, 0, -4, 4, 0, 0, 0, 0, -4, 4, 11], [0, 0, 2, 0, 7, 0, 0, 0, 2, 7, 0, 0], [20, -20, 0, 0, -4, 1, 0, 0, 0, 4, 0, -1], [0, 0, 4, -1, -1, 0, -6, 6, 0, -1, -1, 0], [20, 20, 0, -12, 0, 3, 0, 0, 0, 0, 12, 3], [0, 0, 0, 0, 0, 0, 7, 7, 6, 0, 0, 0], [15, -15, 0, 0, 3, 5, 0, 0, 0, -3, 0, -5], [0, 0, 0, -2, 2, 0, 6, 6, 2, 2, -2, 0], [10, -10, 0, 0, -12, 11, 0, 0, 0, 12, 0, -11], [0, 0, -4, -2, -2, 0, 2, -2, 0, -2, -2, 0], [5, 5, 0, 11, 0, -7, 0, 0, 0, 0, -11, -7], [0, 0, -12, -5, -5, 0, -2, 2, 0, -5, -5, 0], [19, -19, 0, 0, 3, 1, 0, 0, 0, -3, 0, -1], [0, 0, 0, 6, -6, 0, -2, -2, -2, -6, 6, 0], [13, 0, 0, 4, -4, 0, 0, 0, 0, 4, -4, -13], [0, 0, 12, 7, 7, 0, -11, 11, 0, 7, 7, 0], [0, 16, 0, 1, 1, -10, 0, 0, 0, -1, -1, 0], [0, 0, -4, 0, -6, 0, -1, 0, -4, -6, 0, 0], [0, 0, 0, -13, 0, 0, 0, 0, 0, 0, -13, 0], [0, 0, 0, 6, -6, 0, 9, 9, -14, -6, 6, 0], [-5, 0, 0, -4, 4, 0, 0, 0, 0, -4, 4, -3], [0, 0, 3, 0, 7, 0, -4, 0, 3, 7, 0, 0], [0, 0, -4, -3, -3, 0, -1, 1, 0, -3, -3, 0], [0, 0, -12, -9, -9, 0, 10, -10, 0, -9, -9, 0], [0, 17, 0, 1, 1, -13, 0, 0, 0, -1, -1, 0], [8, 8, 0, -2, 0, 1, 0, 0, 0, 0, 2, 1]], 'char_orbit_index': 11, 'field_poly': [64, 0, -32, 0, -8, 0, 16, 0, -2, 0, -2, 0, 1], 'hecke_orbit_code': 687228321984, 'hecke_ring_character_values': [[127, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [133, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [65, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 8, 8, 32, 32, 16, 16, 16, 16, 32, 32, 16], 'hecke_ring_inverse_denominators': [1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 1, 0], [1, -1, 0, -1, 1, 1, 0, 0, 0, -1, 1, 1], [0, 0, 1, 1, 1, 0, 1, -1, -1, 1, 1, 0], [1, 0, 0, 1, 0, 1, 0, 0, 0, 0, -1, 0], [0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0], [-5, -1, 0, -1, -1, 3, 0, 0, 0, 1, 1, 1], [0, 0, -1, -3, 3, 0, -1, -5, 3, 3, -3, 0], [-8, 10, 0, 4, -2, 0, 0, 0, 0, 2, -4, -2], [0, 0, -6, -4, -2, 0, 2, 0, 8, -2, -4, 0], [-14, 6, 0, -6, -10, 2, 0, 0, 0, 10, 6, -6], [0, 0, -10, -10, -10, 0, -10, -14, 2, -10, -10, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 0, 4, 0, -2, 0, 0, 0, 1, 0, 0, 0], [0, -24, 0, 0, 0, 2, 0, -2, 0, -1, 0, 0], [0, -32, -16, 24, 4, 16, 2, -8, 0, 0, -1, 2], [-64, 32, 32, -8, 12, -4, -10, 6, 0, 0, 1, -1], [-16, 0, 16, 0, 12, 0, -2, 0, 0, 0, 1, 0], [0, 16, 0, 8, 0, -8, 0, 2, 0, 2, 0, -1], [0, 16, 0, -16, 0, -4, 0, 2, 0, 0, 0, -1], [0, -48, 0, 8, 0, 12, 0, -6, 0, 0, 0, 1], [64, 32, -32, -8, -12, -4, 10, 6, 0, 0, -1, -1], [0, -32, 16, 24, -4, 16, -2, -8, 0, 0, 1, 2], [80, 0, -24, 0, -24, 0, 14, 0, 2, 0, -3, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '192.2.k.a', 'level': 192, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 768, 'analytic_conductor': 1.5331277188085835, 'char_conductor': 48, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': 1, 'char_values': [192, 4, [127, 133, 65], [2, 3, 2]], 'conrey_index': 47, 'cusp_dim': 48, 'dim': 12, 'eis_dim': 32, 'eis_new_dim': 8, 'hecke_cutter_primes': [], 'hecke_orbit_code': 687228321984, 'hecke_orbit_dims': [12], 'label': '192.2.k', 'level': 192, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 80, 'mf_new_dim': 20, 'num_forms': 1, 'prim_orbit_index': 11, 'relative_dim': 6, 'sturm_bound': 64, 'trace_bound': 0, 'trace_display': [0, 2, 0, 8], 'traces': [12, 0, 2, 0, 0, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 12, 0, -8, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, -20, 0, 0, 0, -12, 0, -12, 0, 0, 0, -20, 0, -24, 0, 0, 0, -24, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -28, 0, 4, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, -4, 0, 0, 0, 32, 0, 60, 0, 0, 0, 56, 0, 28, 0, 0, 0, -8, 0, 52, 0, 0, 0, 56, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 24, 0, 40, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 12, 0, 0, 0, -32, 0, -76, 0, 0, 0, -68, 0, 16, 0, 0, 0, -8, 0, -38, 0, 0, 0, -104, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -68, 0, -20, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 12, 0, 0, 0, -52, 0, 92, 0, 0, 0, 16, 0, -56, 0, 0, 0, 24, 0, 44, 0, 0, 0, 72, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 100, 0, -60, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 32, 0, 0, 0, 12, 0, -80, 0, 0, 0, -64, 0, -36, 0, 0, 0, 24, 0, -78, 0, 0, 0, -88, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, -24, 0, 4, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, -32, 0, 0, 0, 92, 0, 72, 0, 0, 0, 108, 0, 68, 0, 0, 0, 44, 0, 84, 0, 0, 0, 200, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 84, 0, 88, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -36, 0, 0, 0, 36, 0, -148, 0, 0, 0, -36, 0, 72, 0, 0, 0, -8, 0, -96, 0, 0, 0, -32, 0, 0, 0, 0, 0, -68, 0, 0, 0, 0, 0, -136, 0, -16, 0, 0, 0, 0, 0, 58, 0, 0, 0, 0, 0, -72, 0, 0, 0, -116, 0, 96, 0, 0, 0, 116, 0, -84, 0, 0, 0, -96, 0, 56, 0, 0, 0, -32, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, -16, 0, -112, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, -20, 0, 0, 0, 44, 0, -64, 0, 0, 0, -88, 0, -76, 0, 0, 0, -40, 0, -68, 0, 0, 0, -200, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -72, 0, 24, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 56, 0, 0, 0, 80, 0, 108, 0, 0, 0, -36, 0, 100, 0, 0, 0, -40, 0, 80, 0, 0, 0, 88, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 148, 0, 148, 0, 0, 0, 0, 0, -38, 0, 0, 0, 0, 0, 76, 0, 0, 0, -64, 0, -84, 0, 0, 0, -124, 0, 72, 0, 0, 0, 68, 0, -44, 0, 0, 0, -24, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 44, 0, -8, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 144, 0, 0, 0, -160, 0, 152, 0, 0, 0, 124, 0, -144, 0, 0, 0, 56, 0, 92, 0, 0, 0, 200, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 64, 0, -168, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -24, 0, 0, 0, 28, 0, -60, 0, 0, 0, 140, 0, 20, 0, 0, 0, -56, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -116, 0, 68, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 16, 0, 0, 0, 188, 0, 16, 0, 0, 0, 8, 0, 156, 0, 0, 0, 24, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -68, 0, 112, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -160, 0, 0, 0, -68, 0, -72, 0, 0, 0, -72, 0, 96, 0, 0, 0, -96, 0, -52, 0, 0, 0, -216, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, -108, 0, -36, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -116, 0, 0, 0, -148, 0, -72, 0, 0, 0, -56, 0, -144, 0, 0, 0, -104, 0, 32, 0, 0, 0, -96, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 60, 0, -188, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, -120, 0, 0, 0, 96, 0, -100, 0, 0, 0, -28, 0, -116, 0, 0, 0, -136, 0, -72, 0, 0, 0, 168, 0, 0, 0, 0, 0, 252, 0, 0, 0, 0, 0, 120, 0, 60, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 28, 0, 0, 0, 204, 0, 88, 0, 0, 0, 148, 0, 128, 0, 0, 0, -72, 0, -94, 0, 0, 0, 216, 0, 0, 0, 0, 0, 124, 0, 0, 0, 0, 0, 76, 0, 188, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 152, 0, 0, 0, 96, 0, 48, 0, 0, 0, 212, 0, 100, 0, 0, 0, 24, 0, -20, 0, 0, 0, 136, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 12, 0, -44, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 64, 0, 0, 0, -192, 0, -68, 0, 0, 0, 64, 0, -124, 0, 0, 0, 228, 0, 4, 0, 0, 0, -104, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -120, 0, -216, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 92, 0, 0, 0, 92, 0, 100, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 156705
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '192.2.k.a', 'source_level': 192, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '48.2.k.a', 'target_level': 48, 'twist_class_label': '48.2.k.a', 'twist_class_level': 48, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 156706
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '192.2.k.a', 'source_level': 192, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '48.2.k.a', 'target_level': 48, 'twist_class_label': '48.2.k.a', 'twist_class_level': 48, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 156707
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '192.2.k.a', 'source_level': 192, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '48.2.k.a', 'target_level': 48, 'twist_class_label': '48.2.k.a', 'twist_class_level': 48, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 156708
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '192.2.k.a', 'source_level': 192, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '48.2.k.a', 'target_level': 48, 'twist_class_label': '48.2.k.a', 'twist_class_level': 48, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 156709
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 11, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '192.2.k.a', 'source_level': 192, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '192.2.k.a', 'target_level': 192, 'twist_class_label': '48.2.k.a', 'twist_class_level': 48, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 156710
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '192.2.k.a', 'source_level': 192, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '192.2.k.a', 'target_level': 192, 'twist_class_label': '48.2.k.a', 'twist_class_level': 48, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 156711
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '192.2.k.a', 'source_level': 192, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '192.2.k.a', 'target_level': 192, 'twist_class_label': '48.2.k.a', 'twist_class_level': 48, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 156712
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '192.2.k.a', 'source_level': 192, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '192.2.k.a', 'target_level': 192, 'twist_class_label': '48.2.k.a', 'twist_class_level': 48, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 156713
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '192.2.k.a', 'source_level': 192, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '384.2.k.a', 'target_level': 384, 'twist_class_label': '48.2.k.a', 'twist_class_level': 48, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 156714
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '192.2.k.a', 'source_level': 192, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '384.2.k.a', 'target_level': 384, 'twist_class_label': '48.2.k.a', 'twist_class_level': 48, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 156715
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '192.2.k.a', 'source_level': 192, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '384.2.k.a', 'target_level': 384, 'twist_class_label': '48.2.k.a', 'twist_class_level': 48, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 156716
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '192.2.k.a', 'source_level': 192, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '384.2.k.a', 'target_level': 384, 'twist_class_label': '48.2.k.a', 'twist_class_level': 48, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 156717
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '192.2.k.a', 'source_level': 192, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '384.2.k.b', 'target_level': 384, 'twist_class_label': '48.2.k.a', 'twist_class_level': 48, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 156718
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '192.2.k.a', 'source_level': 192, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '384.2.k.b', 'target_level': 384, 'twist_class_label': '48.2.k.a', 'twist_class_level': 48, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 156719
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '192.2.k.a', 'source_level': 192, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '384.2.k.b', 'target_level': 384, 'twist_class_label': '48.2.k.a', 'twist_class_level': 48, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 156720
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '192.2.k.a', 'source_level': 192, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '384.2.k.b', 'target_level': 384, 'twist_class_label': '48.2.k.a', 'twist_class_level': 48, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 479025
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 687228321984, 'p': 2}
-
id: 479026
{'charpoly_factorization': [[[729, -486, 162, 54, -45, 60, -28, 20, -5, 2, 2, -2, 1], 1]], 'hecke_orbit_code': 687228321984, 'p': 3}
-
id: 479027
{'charpoly_factorization': [[[256, 0, 0, 0, 1856, 0, 0, 0, 100, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 687228321984, 'p': 5}
-
id: 479028
{'charpoly_factorization': [[[8, -6, -2, 1], 4]], 'hecke_orbit_code': 687228321984, 'p': 7}
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id: 479029
{'charpoly_factorization': [[[65536, 0, 0, 0, 12288, 0, 0, 0, 356, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 687228321984, 'p': 11}
-
id: 479030
{'charpoly_factorization': [[[8, -56, 196, -32, 2, 2, 1], 2]], 'hecke_orbit_code': 687228321984, 'p': 13}
-
id: 479031
{'charpoly_factorization': [[[512, 0, 288, 0, 40, 0, 1], 2]], 'hecke_orbit_code': 687228321984, 'p': 17}
-
id: 479032
{'charpoly_factorization': [[[128, -128, 64, 32, 18, -6, 1], 2]], 'hecke_orbit_code': 687228321984, 'p': 19}
-
id: 479033
{'charpoly_factorization': [[[2048, 0, 640, 0, 52, 0, 1], 2]], 'hecke_orbit_code': 687228321984, 'p': 23}
-
id: 479034
{'charpoly_factorization': [[[71639296, 0, 0, 0, 548160, 0, 0, 0, 1316, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 687228321984, 'p': 29}
-
id: 479035
{'charpoly_factorization': [[[16, 0, 68, 0, 36, 0, 1], 2]], 'hecke_orbit_code': 687228321984, 'p': 31}
-
id: 479036
{'charpoly_factorization': [[[2312, -2040, 900, -128, 2, 2, 1], 2]], 'hecke_orbit_code': 687228321984, 'p': 37}
-
id: 479037
{'charpoly_factorization': [[[-128, 0, 384, 0, -108, 0, 1], 2]], 'hecke_orbit_code': 687228321984, 'p': 41}
-
id: 479038
{'charpoly_factorization': [[[128, 128, 64, -32, 18, 6, 1], 2]], 'hecke_orbit_code': 687228321984, 'p': 43}
-
id: 479039
{'charpoly_factorization': [[[-32768, 0, 3712, 0, -112, 0, 1], 2]], 'hecke_orbit_code': 687228321984, 'p': 47}
-
id: 479040
{'charpoly_factorization': [[[256, 0, 0, 0, 87360, 0, 0, 0, 24356, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 687228321984, 'p': 53}
-
id: 479041
{'charpoly_factorization': [[[4096, 0, 0, 0, 24418304, 0, 0, 0, 27748, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 687228321984, 'p': 59}
-
id: 479042
{'charpoly_factorization': [[[95048, -27032, 3844, -64, 18, -6, 1], 2]], 'hecke_orbit_code': 687228321984, 'p': 61}
-
id: 479043
{'charpoly_factorization': [[[32, -128, 256, -232, 98, 14, 1], 2]], 'hecke_orbit_code': 687228321984, 'p': 67}
-
id: 479044
{'charpoly_factorization': [[[147968, 0, 10176, 0, 196, 0, 1], 2]], 'hecke_orbit_code': 687228321984, 'p': 71}
-
id: 479045
{'charpoly_factorization': [[[369664, 0, 18496, 0, 272, 0, 1], 2]], 'hecke_orbit_code': 687228321984, 'p': 73}
-
id: 479046
{'charpoly_factorization': [[[8464, 0, 1956, 0, 116, 0, 1], 2]], 'hecke_orbit_code': 687228321984, 'p': 79}
-
id: 479047
{'charpoly_factorization': [[[5473632256, 0, 0, 0, 32944128, 0, 0, 0, 19044, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 687228321984, 'p': 83}
-
id: 479048
{'charpoly_factorization': [[[-2048, 0, 8576, 0, -212, 0, 1], 2]], 'hecke_orbit_code': 687228321984, 'p': 89}
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id: 479049
{'charpoly_factorization': [[[-608, -128, 2, 1], 4]], 'hecke_orbit_code': 687228321984, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 1, 'label': '192.2.k.a', 'level': 192, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
-
id: 40780000
{'hecke_orbit_code': 687228321984, 'n': 1, 'trace_an': 12}
-
id: 40780001
{'hecke_orbit_code': 687228321984, 'n': 2, 'trace_an': 0}
-
id: 40780002
{'hecke_orbit_code': 687228321984, 'n': 3, 'trace_an': 2}
-
id: 40780003
{'hecke_orbit_code': 687228321984, 'n': 4, 'trace_an': 0}
-
id: 40780004
{'hecke_orbit_code': 687228321984, 'n': 5, 'trace_an': 0}
-
id: 40780005
{'hecke_orbit_code': 687228321984, 'n': 6, 'trace_an': 0}
-
id: 40780006
{'hecke_orbit_code': 687228321984, 'n': 7, 'trace_an': 8}
-
id: 40780007
{'hecke_orbit_code': 687228321984, 'n': 8, 'trace_an': 0}
-
id: 40780008
{'hecke_orbit_code': 687228321984, 'n': 9, 'trace_an': 0}
-
id: 40780009
{'hecke_orbit_code': 687228321984, 'n': 10, 'trace_an': 0}
-
id: 40780010
{'hecke_orbit_code': 687228321984, 'n': 11, 'trace_an': 0}
-
id: 40780011
{'hecke_orbit_code': 687228321984, 'n': 12, 'trace_an': 0}
-
id: 40780012
{'hecke_orbit_code': 687228321984, 'n': 13, 'trace_an': -4}
-
id: 40780013
{'hecke_orbit_code': 687228321984, 'n': 14, 'trace_an': 0}
-
id: 40780014
{'hecke_orbit_code': 687228321984, 'n': 15, 'trace_an': 0}
-
id: 40780015
{'hecke_orbit_code': 687228321984, 'n': 16, 'trace_an': 0}
-
id: 40780016
{'hecke_orbit_code': 687228321984, 'n': 17, 'trace_an': 0}
-
id: 40780017
{'hecke_orbit_code': 687228321984, 'n': 18, 'trace_an': 0}
-
id: 40780018
{'hecke_orbit_code': 687228321984, 'n': 19, 'trace_an': 12}
-
id: 40780019
{'hecke_orbit_code': 687228321984, 'n': 20, 'trace_an': 0}
-
id: 40780020
{'hecke_orbit_code': 687228321984, 'n': 21, 'trace_an': -8}
-
id: 40780021
{'hecke_orbit_code': 687228321984, 'n': 22, 'trace_an': 0}
-
id: 40780022
{'hecke_orbit_code': 687228321984, 'n': 23, 'trace_an': 0}
-
id: 40780023
{'hecke_orbit_code': 687228321984, 'n': 24, 'trace_an': 0}
-
id: 40780024
{'hecke_orbit_code': 687228321984, 'n': 25, 'trace_an': 0}
-
id: 40780025
{'hecke_orbit_code': 687228321984, 'n': 26, 'trace_an': 0}
-
id: 40780026
{'hecke_orbit_code': 687228321984, 'n': 27, 'trace_an': -10}
-
id: 40780027
{'hecke_orbit_code': 687228321984, 'n': 28, 'trace_an': 0}
-
id: 40780028
{'hecke_orbit_code': 687228321984, 'n': 29, 'trace_an': 0}
-
id: 40780029
{'hecke_orbit_code': 687228321984, 'n': 30, 'trace_an': 0}
-
id: 40780030
{'hecke_orbit_code': 687228321984, 'n': 31, 'trace_an': 0}
-
id: 40780031
{'hecke_orbit_code': 687228321984, 'n': 32, 'trace_an': 0}
-
id: 40780032
{'hecke_orbit_code': 687228321984, 'n': 33, 'trace_an': -4}
-
id: 40780033
{'hecke_orbit_code': 687228321984, 'n': 34, 'trace_an': 0}
-
id: 40780034
{'hecke_orbit_code': 687228321984, 'n': 35, 'trace_an': 0}
-
id: 40780035
{'hecke_orbit_code': 687228321984, 'n': 36, 'trace_an': 0}
-
id: 40780036
{'hecke_orbit_code': 687228321984, 'n': 37, 'trace_an': -4}
-
id: 40780037
{'hecke_orbit_code': 687228321984, 'n': 38, 'trace_an': 0}
-
id: 40780038
{'hecke_orbit_code': 687228321984, 'n': 39, 'trace_an': -20}
-
id: 40780039
{'hecke_orbit_code': 687228321984, 'n': 40, 'trace_an': 0}
-
id: 40780040
{'hecke_orbit_code': 687228321984, 'n': 41, 'trace_an': 0}
-
id: 40780041
{'hecke_orbit_code': 687228321984, 'n': 42, 'trace_an': 0}
-
id: 40780042
{'hecke_orbit_code': 687228321984, 'n': 43, 'trace_an': -12}
-
id: 40780043
{'hecke_orbit_code': 687228321984, 'n': 44, 'trace_an': 0}
-
id: 40780044
{'hecke_orbit_code': 687228321984, 'n': 45, 'trace_an': -12}
-
id: 40780045
{'hecke_orbit_code': 687228321984, 'n': 46, 'trace_an': 0}
-
id: 40780046
{'hecke_orbit_code': 687228321984, 'n': 47, 'trace_an': 0}
-
id: 40780047
{'hecke_orbit_code': 687228321984, 'n': 48, 'trace_an': 0}
-
id: 40780048
{'hecke_orbit_code': 687228321984, 'n': 49, 'trace_an': -20}
-
id: 40780049
{'hecke_orbit_code': 687228321984, 'n': 50, 'trace_an': 0}
-
id: 40780050
{'hecke_orbit_code': 687228321984, 'n': 51, 'trace_an': -24}
-
id: 40780051
{'hecke_orbit_code': 687228321984, 'n': 52, 'trace_an': 0}
-
id: 40780052
{'hecke_orbit_code': 687228321984, 'n': 53, 'trace_an': 0}
-
id: 40780053
{'hecke_orbit_code': 687228321984, 'n': 54, 'trace_an': 0}
-
id: 40780054
{'hecke_orbit_code': 687228321984, 'n': 55, 'trace_an': -24}
-
id: 40780055
{'hecke_orbit_code': 687228321984, 'n': 56, 'trace_an': 0}
-
id: 40780056
{'hecke_orbit_code': 687228321984, 'n': 57, 'trace_an': 0}
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id: 40780057
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id: 40780999
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