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mf_newforms • Show schema
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{'Nk2': 1740, 'analytic_conductor': 3.4734924879256965, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [29, -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': [435, 1, [146, 262, 31], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [1, 1]], [7, [4, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 33554867, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '435.2.a.a', 'level': 435, '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': True, 'level_primes': [3, 5, 29], 'level_radical': 435, 'minimal_twist': '435.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}-q^{4}+q^{5}-q^{6}-4q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/435/a'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '435.2.a', 'trace_display': [-1, 1, 1, -4], 'trace_hash': 131831637853565560, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.977', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.080', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.953', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.279', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.901', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, 'traces': [1, -1, 1, -1, 1, -1, -4, 3, 1, -1, 0, -1, 6, 4, 1, -1, 2, -1, 8, -1, -4, 0, -4, 3, 1, -6, 1, 4, 1, -1, 4, -5, 0, -2, -4, -1, 6, -8, 6, 3, 2, 4, -4, 0, 1, 4, 0, -1, 9, -1, 2, -6, 6, -1, 0, -12, 8, -1, -12, -1, 6, -4, -4, 7, 6, 0, -8, -2, -4, 4, 16, 3, -6, -6, 1, -8, 0, -6, 12, -1, 1, -2, -16, 4, 2, 4, 1, 0, 2, -1, -24, 4, 4, 0, 8, -5, -14, -9, 0, -1, -10, -2, 4, 18, -4, -6, -16, -1, -2, 0, 6, 4, 2, -8, -4, -1, 6, 12, -8, 3, -11, -6, 2, -4, 1, 4, -8, 3, -4, -6, 0, 0, -32, 8, 1, 6, -6, 4, 20, 4, 0, -16, 0, -1, 1, 6, 9, -6, -10, -1, 16, 24, 2, 0, 4, -6, 14, -12, 6, -5, 16, -1, 12, -2, 0, 16, -20, -12, 23, -2, 8, 4, -2, -1, -4, 0, -12, -2, -12, -1, -10, 24, 6, -12, 6, -4, 0, 0, -4, -8, -4, 7, 2, 14, 6, -9, 6, 0, -16, 3, -8, 10, -4, -2, 2, -4, -4, -6, 0, 4, 8, -6, 16, 16, -4, 3, -16, 2, -6, 0, 12, -6, 12, 20, 1, -2, 8, -8, 14, 4, 0, 3, 18, -6, 0, 12, 12, 8, 24, -1, 2, 11, 1, -6, 9, -2, 48, 12, -16, -1, 0, 4, 0, 8, 2, -17, 26, 4, -24, -6, 1, 0, 8, 0, 6, 32, 2, 8, -18, -1, -20, -2, -24, 6, 0, 4, -2, -20, 4, -12, -6, 0, 8, -16, 8, 0, -8, -5, -13, -1, -14, 6, -26, -9, -12, 18, 0, 10, -24, -1, 16, -16, -10, -8, 6, -2, -20, 0, 4, -4, -28, 18, 10, -14, -4, -12, 30, -6, 0, 7, -16, -16, 16, -1, 6, -12, -2, 6, 0, 0, -16, 16, 6, 20, -8, 4, -30, -23, 2, -2, 0, -8, -8, -12, -4, 2, -24, -1, -2, 4, 6, 0, -6, 12, 16, -2, -8, 12, -36, 3, 45, 10, -11, 24, -6, -6, -24, 4, 2, -6, -24, -4, -34, 0, 1, 0, 6, 4, -16, -8, -8, 4, 28, 3, 0, -2, -4, 14, -26, -6, -8, 27, 0, -6, 12, 0, 22, 16, -32, -1, 18, 8, 24, 10, 1, 4, 0, 6, -6, -2, -6, -4, 48, 4, -16, -30, 20, 0, 4, 4, 30, -8, 0, 18, 2, -16, -24, 16, 0, 4, 32, -1, -14, 16, 1, 2, -32, 6, -24, 0, 9, -12, 20, -6, 2, -12, -10, -28, -6, -1, 0, -2, 16, -8, -24, 24, -22, -14, 2, 4, -18, 0, 36, -1, 4, -18, 12, -6, 32, 0, 14, -36, 0, -12, 8, 8, 6, -24, 12, -5, 36, -2, 16, 11, -14, -1, -20, 18, 12, -9, -24, -2, 2, -48, 0, -4, -64, 16, 36, -1, -20, 0, 0, -12, -10, 0, 23, 8, 30, -2, 24, 11, 8, -26, 4, 4, 0, 24, -2, 18, -6, -1, -16, 0, -4, -8, 8, 0, -7, -6, -12, 32, 12, -2, -16, -24, -12, 18, 0, -1, 22, 20, -10, -10, -2, 24, -32, 6, 6, 0, 8, -12, -48, 2, 6, -20, 14, -4, -24, 4, 0, 6, -4, 0, 2, -8, -4, 48, 18, -8, 12, 0, -4, 8, -4, 7, 2, 13, 2, -1, 64, 14, 0, -18, 6, 26, -16, -9, 32, 12, 6, -6, -6, 0, -8, 10, -16, 24, -36, 3, 10, -16, -8, -16, -11, 10, -32, -40, -4, -6, 0, -2, -2, 20, 2, 0, 42, -4, -8, -4, -4, 28, -8, -6, 1, -10, 0, -14, 12, 4, 48, 36, 8, -30, -8, -6, 54, 0, 16, 3, -6, 16, -16, -16, -4, -16, 28, 3, 0, -6, -16, -12, -50, 2, 0, -2, -6, 0, -48, 0, -10, 16, 12, -48, -32, -6, -4, 20, 12, 8, 0, 20, -30, 30, 1, -23, -26, -2, 56, 6, 8, 0, -24, -8, -6, 8, 14, 4, 36, 4, 20, 2, 0, 24, 20, 3, 4, 2, 18, 4, -34, -6, 48, 0, 0, 6, 40, 12, -10, -16, 12, 6, -16, 8, 0, 12, 24, 36, -40, -1, -16, -45, 2, 10, 1, 11, 32, -72, 1, 6, -8, -6, 46, 24, 9, 20, 0, -2, -24, -6, 48, 24, -32, 12, -10, 34, -16, 0, 64, -1, -4, 0, 0, -6, 16, 4, -10, 16, 0, 24, -38, 8, 8, 4, 2, -28, -72, -17, -30, 0, 26, -2, 6, 4, 4, -42, -24, 26, 16, -6, 0, 8, 1, -9, 14, 0, -24, -6, 8, -12, -8, 0, 36, -22, 6, 16, 30, 32, 0, -5, 2, -18, 0, 8, 16, -24, -18, -30, -30, -1, -28, 4, -20, 0, 12, -2, -32, 6, -24, -2, 22, 6, -8, 12, 0, -48, 12, 4, -26, 16, -2, 42, 18, -20, -20, 0, 4, -4, 20, -12, 1, -30, -6, -8, 23, 0, 44, -6, 8, -2, -24, -16, -26, 24, 8, -48, 18, 0, 8, 4, -8, -32, -52, -5, -2, 14, -13, 16, 0, -1, -48, -6, -14, 32, -4, 6, 22, 24, -26, 0, 42, -9, 16, -12, -12, -20, -32, 18, 32, -2, 0, -12, 0, 10, -12, -12, -24, 6, 4, -1, 12, 0, 16, 6, -10, -16, 28, -8, -10, 24, 20, -8, 0, 22, 6, -14, 0, -2, 16, -12, -20, 18, 96, 0, 6, -36, 4, -5, 18, -4, 72, -18, -28, -12, 0, 18, -38, -32, 10, 0, -18, -14, -8, 12, -4, 0, 28, -12, -36, -8, 30, -24, 18, -6, -4, -24, 0, -12, 24, 7, -15, -36, -16, -2, 2, -16, 56, -33, 16, 14, 0, -1, -80, 20, 6, -6, -6, -12, 0, -9, -2, 24, -16, 6, 6, -2, 0, -48, 16, 0, -8, -20, -16, 64, -16, 16, 38, -36, 6, 3], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [1], [-1], [1], [-1], [-4], [3], [1], [-1], [0], [-1], [6], [4], [1], [-1], [2], [-1], [8], [-1], [-4], [0], [-4], [3], [1], [-6], [1], [4], [1], [-1], [4], [-5], [0], [-2], [-4], [-1], [6], [-8], [6], [3], [2], [4], [-4], [0], [1], [4], [0], [-1], [9], [-1], [2], [-6], [6], [-1], [0], [-12], [8], [-1], [-12], [-1], [6], [-4], [-4], [7], [6], [0], [-8], [-2], [-4], [4], [16], [3], [-6], [-6], [1], [-8], [0], [-6], [12], [-1], [1], [-2], [-16], [4], [2], [4], [1], [0], [2], [-1], [-24], [4], [4], [0], [8], [-5], [-14], [-9], [0], [-1]], 'ap': [[-1], [1], [1], [-4], [0], [6], [2], [8], [-4], [1], [4], [6], [2], [-4], [0], [6], [-12], [6], [-8], [16], [-6], [12], [-16], [2], [-14], [-10], [4], [-16], [-2], [2], [-8], [0], [-6], [20], [-10], [16], [14], [12], [-20], [-2], [-12], [-10], [-4], [2], [6], [-16], [8], [12], [8], [14], [18], [24], [2], [0], [26], [8], [-18], [-20], [-2], [-6], [8], [-26], [-20], [-28], [10], [30], [-16], [-30], [-24], [-2], [-6], [-36], [-24], [-34], [-16], [28], [-26], [22], [18], [-6], [4], [30], [32], [-14], [-24], [20], [-6], [-22], [-18], [36], [12], [12], [-20], [-24], [36], [0], [30], [-6], [-16], [22], [-32], [14], [-4], [18], [12], [2], [-16], [-6], [-36], [10], [-32], [-2], [42], [-8], [48], [-6], [-16], [28], [-50], [-48], [-10], [-30], [-26], [-24], [20], [-34], [-10], [-40], [32], [46], [-24], [-32], [-4], [-10], [-38], [-30], [6], [-24], [30], [-30], [-28], [22], [-8], [12], [-26], [20], [-26], [18], [8], [-52], [22], [42], [16], [-32], [28], [20], [16], [18], [-38], [-18], [28], [18], [56], [0], [-6], [-16], [-8], [38]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 33554867, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '435.2.a.a', 'level': 435, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [4, 1, 3, 0, 3, 2, 0, 6], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [0, 1, 1, 1, 1, 1, 1, 1], 'ALdims_old': [1, 8, 4, 8, 3, 5, 5, 4], 'Nk2': 1740, 'analytic_conductor': 3.4734924879256965, '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': [435, 1, [146, 262, 31], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 57, 'dim': 19, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33554867, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2, 2, 3, 4], 'label': '435.2.a', 'level': 435, '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': True, 'level_primes': [3, 5, 29], 'level_radical': 435, 'mf_dim': 64, 'mf_new_dim': 19, 'num_forms': 10, 'plus_dim': 6, 'prim_orbit_index': 1, 'relative_dim': 19, 'sturm_bound': 120, 'trace_bound': 4, 'trace_display': [-3, 3, -1, 0], 'traces': [19, -3, 3, 21, -1, 1, 0, -15, 19, 5, 4, 5, 10, 0, 3, 29, -10, -3, 4, 9, 8, -24, -16, 9, 19, -18, 3, -20, -1, -3, -8, -23, -12, 22, 0, 21, -6, -4, 2, 9, 14, -12, -4, 28, -1, -40, -8, -3, 35, -3, -2, 26, -22, 1, 12, -48, 20, 1, 28, 5, -6, 16, 0, 41, 18, -36, -36, -46, 0, 0, -8, -15, -10, 38, 3, -68, -40, -30, 32, 1, 19, 2, -36, 32, 6, -68, 11, -68, 14, 5, 0, -16, 8, 28, -4, -11, 6, -35, 4, 21, -6, 2, -16, 22, 8, -66, -12, 5, 6, -12, 6, 20, -42, 20, 4, -7, 10, -20, -8, -15, 11, 46, -2, -8, -1, 0, 48, -175, 8, -2, 4, -16, -8, 44, 3, -46, -42, 40, -56, -32, 0, -24, 48, 29, 7, -46, 11, 14, 26, 1, 28, 44, -10, 76, 32, 6, -22, 64, -22, -7, 0, -3, 36, 138, -8, 28, -8, -40, 61, 42, 4, 20, 74, -3, 0, -12, -20, -130, -52, 9, 38, 72, 26, -24, 50, -24, -80, -16, 8, -12, -8, 29, -2, 106, 2, -103, 66, -24, 20, -15, 36, 74, -8, -26, 22, -40, -16, 74, -24, -24, -28, -90, 0, -68, -36, 9, 16, 30, -22, 28, 76, -2, -16, -56, 19, -10, -84, -36, 74, -24, 56, 9, -34, -18, 0, 116, -8, -12, -24, 29, 74, 121, 3, -66, 39, -62, -48, 128, -4, 5, 12, -20, -32, 32, -10, 149, -2, 12, -72, 22, -1, 168, -24, -68, 6, -24, -18, 32, 42, -3, 8, 122, 64, 42, 4, -32, -54, 148, -8, -48, 46, -32, 68, -32, -4, -60, -192, -23, -31, -3, 18, 154, 34, -3, 4, 102, -12, -42, -104, 5, 32, 56, -14, -204, 34, 22, -20, 48, -24, -40, 40, -122, -74, 142, 0, 0, -6, -18, -8, 49, -4, 0, 16, 21, 10, -4, 10, 10, -120, -12, 20, -12, -6, -64, 4, -64, -82, 131, -10, -30, 104, -4, 72, -172, -16, 30, -52, 17, -50, 0, 2, -216, -82, 12, -24, 154, -40, -4, -176, 9, 55, 182, 63, 52, -2, -18, -16, 96, 14, -34, 8, 72, 26, 48, 3, -24, 2, -12, -76, -92, -60, 56, 0, -35, 24, -78, -4, -102, 10, -42, 40, 145, -68, -138, -48, 28, 42, -32, -8, 29, -42, -88, 48, 6, -1, -12, -32, -6, -50, -54, -26, -72, 40, -40, -40, -98, 68, 176, -44, 0, -6, -4, -8, -50, -10, -104, -40, -148, -16, -68, 8, -3, -74, -96, 7, 10, 0, 42, -104, -108, 35, 80, -20, 78, 78, 24, 10, 40, 14, -3, 100, -30, 8, 44, -32, 60, -138, 166, -2, -24, -22, 48, 24, 1, 16, -6, -52, 26, 56, 0, 50, 196, -112, -56, 4, 32, -22, -8, -144, -63, 36, 2, 32, 29, -10, 1, -48, 342, 8, -99, -76, 106, 6, -160, 12, -88, -24, 52, -84, 9, -48, -112, -48, -48, 18, -80, 5, 128, 170, 18, 72, -287, 20, 34, -32, -44, 40, 0, 42, -90, -34, 1, -100, -220, 8, 72, -144, 56, -17, -114, 28, 248, 84, 50, -44, -68, -76, 154, -212, 5, -30, 32, 50, 86, 18, 52, 132, 58, -6, -24, 4, 184, -72, 102, -14, -120, 178, 16, -56, -72, -96, 218, -76, 44, 22, -52, 0, 32, 30, -28, 24, 120, 8, -88, -16, 41, -114, -97, 22, 17, -56, 98, 112, -38, 18, 18, -20, -3, 112, -20, 82, -114, 134, -36, -8, -242, 72, 112, 64, 9, 62, -40, -36, 64, 43, -18, 56, 164, -8, 102, 56, -46, 122, 76, -14, 48, -26, 184, -140, 112, 0, -28, -40, 102, 19, -38, -72, -114, 140, 0, 56, 72, -36, 26, -40, 182, -86, -36, -8, -23, 222, -52, 212, -72, 4, -72, 40, -15, -176, -18, 32, 76, 42, 74, 4, 234, -10, 68, -52, 12, -82, -444, 20, 12, 48, 38, 8, 48, -32, 44, 8, -4, -82, -150, 3, -129, 178, -126, -176, 66, -52, 24, 44, -68, -34, 104, 74, 140, 188, 24, 92, 246, -40, 180, 20, -15, 12, 54, -114, -20, 82, -30, 0, 196, -16, 50, 56, 180, 134, 24, 32, -334, -80, 32, -32, 36, -112, 32, -88, 1, -48, -87, -42, 42, -1, 33, 248, -248, 19, -30, 40, -10, 106, 16, 27, 40, 24, 2, 12, 22, -48, 144, -112, -80, -22, 14, -36, -164, 160, -3, 216, -168, -124, -30, 56, 32, -38, -116, -28, 60, 54, 112, 120, -48, 6, -168, -96, -3, 142, 48, 126, 146, -22, -68, -8, 122, 64, -126, -216, -58, -48, 24, 11, -247, 50, -76, -236, -2, 64, -32, 24, -68, -92, -186, 18, 204, 146, -16, 144, -23, 14, -222, 48, 140, 0, -272, 26, -34, 102, 5, -16, 24, -96, -80, -92, -66, -56, 74, 0, 122, 170, 74, -16, -104, -12, -112, 100, -16, -30, 20, 26, -26, -130, 120, 24, -224, 8, 52, 0, -40, 19, -98, -122, -12, 25, 28, 8, -34, -36, 22, 136, -64, 34, 8, -4, 92, -66, -88, -12, -100, 48, -136, -88, -11, 38, 2, 41, -88, 120, 5, 40, -74, 6, 176, 0, -38, 178, -256, 42, 84, -66, -35, -52, -180, -36, 16, -128, 110, 88, -46, 4, 12, -24, -18, -12, -160, -32, -266, -8, 21, -12, -312, 136, 146, 106, 128, -4, -236, -6, 16, 64, -44, 56, -22, -38, 62, 120, 2, -168, 88, -16, 102, 200, 68, -6, -232, -16, -11, 38, 0, -68, 10, -8, 68, -8, 22, -130, -360, -2, 96, -70, -10, 128, -52, 8, -80, -124, -16, 204, -4, 10, -224, -242, -66, 0, -88, 4, 0, -80, 141, -93, -140, -12, 110, -18, -200, 112, -51, 16, -110, -36, 5, -256, 216, 2, -202, -202, 4, 128, 81, 6, 12, 232, 42, 30, 42, 48, -176, 296, -12, -68, 48, -36, -32, -56, -100, 42, -228, 6, 9], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 317313
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '435.2.a.a', 'source_level': 435, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '435.2.a.a', 'target_level': 435, 'twist_class_label': '435.2.a.a', 'twist_class_level': 435, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 317314
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '435.2.a.a', 'source_level': 435, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1305.2.a.e', 'target_level': 1305, 'twist_class_label': '435.2.a.a', 'twist_class_level': 435, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 317315
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '435.2.a.a', 'source_level': 435, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2175.2.a.h', 'target_level': 2175, 'twist_class_label': '435.2.a.a', 'twist_class_level': 435, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 317316
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '435.2.a.a', 'source_level': 435, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2175.2.c.a', 'target_level': 2175, 'twist_class_label': '435.2.a.a', 'twist_class_level': 435, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 317317
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '435.2.a.a', 'source_level': 435, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '6525.2.a.e', 'target_level': 6525, 'twist_class_label': '435.2.a.a', 'twist_class_level': 435, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 317318
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '435.2.a.a', 'source_level': 435, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '6960.2.a.w', 'target_level': 6960, 'twist_class_label': '435.2.a.a', 'twist_class_level': 435, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 882800
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 2}
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id: 882801
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 3}
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id: 882802
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 5}
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id: 882803
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 7}
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id: 882804
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 11}
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id: 882805
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 13}
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id: 882806
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 17}
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id: 882807
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 19}
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id: 882808
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 23}
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id: 882809
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 29}
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id: 882810
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 31}
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id: 882811
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 37}
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id: 882812
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 41}
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id: 882813
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 43}
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id: 882814
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 47}
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id: 882815
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 53}
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id: 882816
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 59}
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id: 882817
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 61}
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id: 882818
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 67}
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id: 882819
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 71}
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id: 882820
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 73}
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id: 882821
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 79}
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id: 882822
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 83}
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id: 882823
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 89}
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id: 882824
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 33554867, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 1, 'label': '435.2.a.a', 'level': 435, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 107328
{'hecke_orbit_code': 33554867, 'n': 1, 'trace_an': 1}
-
id: 107329
{'hecke_orbit_code': 33554867, 'n': 2, 'trace_an': -1}
-
id: 107330
{'hecke_orbit_code': 33554867, 'n': 3, 'trace_an': 1}
-
id: 107331
{'hecke_orbit_code': 33554867, 'n': 4, 'trace_an': -1}
-
id: 107332
{'hecke_orbit_code': 33554867, 'n': 5, 'trace_an': 1}
-
id: 107333
{'hecke_orbit_code': 33554867, 'n': 6, 'trace_an': -1}
-
id: 107334
{'hecke_orbit_code': 33554867, 'n': 7, 'trace_an': -4}
-
id: 107335
{'hecke_orbit_code': 33554867, 'n': 8, 'trace_an': 3}
-
id: 107336
{'hecke_orbit_code': 33554867, 'n': 9, 'trace_an': 1}
-
id: 107337
{'hecke_orbit_code': 33554867, 'n': 10, 'trace_an': -1}
-
id: 107338
{'hecke_orbit_code': 33554867, 'n': 11, 'trace_an': 0}
-
id: 107339
{'hecke_orbit_code': 33554867, 'n': 12, 'trace_an': -1}
-
id: 107340
{'hecke_orbit_code': 33554867, 'n': 13, 'trace_an': 6}
-
id: 107341
{'hecke_orbit_code': 33554867, 'n': 14, 'trace_an': 4}
-
id: 107342
{'hecke_orbit_code': 33554867, 'n': 15, 'trace_an': 1}
-
id: 107343
{'hecke_orbit_code': 33554867, 'n': 16, 'trace_an': -1}
-
id: 107344
{'hecke_orbit_code': 33554867, 'n': 17, 'trace_an': 2}
-
id: 107345
{'hecke_orbit_code': 33554867, 'n': 18, 'trace_an': -1}
-
id: 107346
{'hecke_orbit_code': 33554867, 'n': 19, 'trace_an': 8}
-
id: 107347
{'hecke_orbit_code': 33554867, 'n': 20, 'trace_an': -1}
-
id: 107348
{'hecke_orbit_code': 33554867, 'n': 21, 'trace_an': -4}
-
id: 107349
{'hecke_orbit_code': 33554867, 'n': 22, 'trace_an': 0}
-
id: 107350
{'hecke_orbit_code': 33554867, 'n': 23, 'trace_an': -4}
-
id: 107351
{'hecke_orbit_code': 33554867, 'n': 24, 'trace_an': 3}
-
id: 107352
{'hecke_orbit_code': 33554867, 'n': 25, 'trace_an': 1}
-
id: 107353
{'hecke_orbit_code': 33554867, 'n': 26, 'trace_an': -6}
-
id: 107354
{'hecke_orbit_code': 33554867, 'n': 27, 'trace_an': 1}
-
id: 107355
{'hecke_orbit_code': 33554867, 'n': 28, 'trace_an': 4}
-
id: 107356
{'hecke_orbit_code': 33554867, 'n': 29, 'trace_an': 1}
-
id: 107357
{'hecke_orbit_code': 33554867, 'n': 30, 'trace_an': -1}
-
id: 107358
{'hecke_orbit_code': 33554867, 'n': 31, 'trace_an': 4}
-
id: 107359
{'hecke_orbit_code': 33554867, 'n': 32, 'trace_an': -5}
-
id: 107360
{'hecke_orbit_code': 33554867, 'n': 33, 'trace_an': 0}
-
id: 107361
{'hecke_orbit_code': 33554867, 'n': 34, 'trace_an': -2}
-
id: 107362
{'hecke_orbit_code': 33554867, 'n': 35, 'trace_an': -4}
-
id: 107363
{'hecke_orbit_code': 33554867, 'n': 36, 'trace_an': -1}
-
id: 107364
{'hecke_orbit_code': 33554867, 'n': 37, 'trace_an': 6}
-
id: 107365
{'hecke_orbit_code': 33554867, 'n': 38, 'trace_an': -8}
-
id: 107366
{'hecke_orbit_code': 33554867, 'n': 39, 'trace_an': 6}
-
id: 107367
{'hecke_orbit_code': 33554867, 'n': 40, 'trace_an': 3}
-
id: 107368
{'hecke_orbit_code': 33554867, 'n': 41, 'trace_an': 2}
-
id: 107369
{'hecke_orbit_code': 33554867, 'n': 42, 'trace_an': 4}
-
id: 107370
{'hecke_orbit_code': 33554867, 'n': 43, 'trace_an': -4}
-
id: 107371
{'hecke_orbit_code': 33554867, 'n': 44, 'trace_an': 0}
-
id: 107372
{'hecke_orbit_code': 33554867, 'n': 45, 'trace_an': 1}
-
id: 107373
{'hecke_orbit_code': 33554867, 'n': 46, 'trace_an': 4}
-
id: 107374
{'hecke_orbit_code': 33554867, 'n': 47, 'trace_an': 0}
-
id: 107375
{'hecke_orbit_code': 33554867, 'n': 48, 'trace_an': -1}
-
id: 107376
{'hecke_orbit_code': 33554867, 'n': 49, 'trace_an': 9}
-
id: 107377
{'hecke_orbit_code': 33554867, 'n': 50, 'trace_an': -1}
-
id: 107378
{'hecke_orbit_code': 33554867, 'n': 51, 'trace_an': 2}
-
id: 107379
{'hecke_orbit_code': 33554867, 'n': 52, 'trace_an': -6}
-
id: 107380
{'hecke_orbit_code': 33554867, 'n': 53, 'trace_an': 6}
-
id: 107381
{'hecke_orbit_code': 33554867, 'n': 54, 'trace_an': -1}
-
id: 107382
{'hecke_orbit_code': 33554867, 'n': 55, 'trace_an': 0}
-
id: 107383
{'hecke_orbit_code': 33554867, 'n': 56, 'trace_an': -12}
-
id: 107384
{'hecke_orbit_code': 33554867, 'n': 57, 'trace_an': 8}
-
id: 107385
{'hecke_orbit_code': 33554867, 'n': 58, 'trace_an': -1}
-
id: 107386
{'hecke_orbit_code': 33554867, 'n': 59, 'trace_an': -12}
-
id: 107387
{'hecke_orbit_code': 33554867, 'n': 60, 'trace_an': -1}
-
id: 107388
{'hecke_orbit_code': 33554867, 'n': 61, 'trace_an': 6}
-
id: 107389
{'hecke_orbit_code': 33554867, 'n': 62, 'trace_an': -4}
-
id: 107390
{'hecke_orbit_code': 33554867, 'n': 63, 'trace_an': -4}
-
id: 107391
{'hecke_orbit_code': 33554867, 'n': 64, 'trace_an': 7}
-
id: 107392
{'hecke_orbit_code': 33554867, 'n': 65, 'trace_an': 6}
-
id: 107393
{'hecke_orbit_code': 33554867, 'n': 66, 'trace_an': 0}
-
id: 107394
{'hecke_orbit_code': 33554867, 'n': 67, 'trace_an': -8}
-
id: 107395
{'hecke_orbit_code': 33554867, 'n': 68, 'trace_an': -2}
-
id: 107396
{'hecke_orbit_code': 33554867, 'n': 69, 'trace_an': -4}
-
id: 107397
{'hecke_orbit_code': 33554867, 'n': 70, 'trace_an': 4}
-
id: 107398
{'hecke_orbit_code': 33554867, 'n': 71, 'trace_an': 16}
-
id: 107399
{'hecke_orbit_code': 33554867, 'n': 72, 'trace_an': 3}
-
id: 107400
{'hecke_orbit_code': 33554867, 'n': 73, 'trace_an': -6}
-
id: 107401
{'hecke_orbit_code': 33554867, 'n': 74, 'trace_an': -6}
-
id: 107402
{'hecke_orbit_code': 33554867, 'n': 75, 'trace_an': 1}
-
id: 107403
{'hecke_orbit_code': 33554867, 'n': 76, 'trace_an': -8}
-
id: 107404
{'hecke_orbit_code': 33554867, 'n': 77, 'trace_an': 0}
-
id: 107405
{'hecke_orbit_code': 33554867, 'n': 78, 'trace_an': -6}
-
id: 107406
{'hecke_orbit_code': 33554867, 'n': 79, 'trace_an': 12}
-
id: 107407
{'hecke_orbit_code': 33554867, 'n': 80, 'trace_an': -1}
-
id: 107408
{'hecke_orbit_code': 33554867, 'n': 81, 'trace_an': 1}
-
id: 107409
{'hecke_orbit_code': 33554867, 'n': 82, 'trace_an': -2}
-
id: 107410
{'hecke_orbit_code': 33554867, 'n': 83, 'trace_an': -16}
-
id: 107411
{'hecke_orbit_code': 33554867, 'n': 84, 'trace_an': 4}
-
id: 107412
{'hecke_orbit_code': 33554867, 'n': 85, 'trace_an': 2}
-
id: 107413
{'hecke_orbit_code': 33554867, 'n': 86, 'trace_an': 4}
-
id: 107414
{'hecke_orbit_code': 33554867, 'n': 87, 'trace_an': 1}
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id: 107433
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id: 107434
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id: 107435
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id: 107436
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id: 107437
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id: 107438
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id: 107439
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id: 107440
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id: 107441
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id: 107442
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id: 107443
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id: 107444
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id: 107445
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id: 107446
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id: 107447
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id: 107448
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id: 107449
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id: 107450
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id: 107451
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id: 107452
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id: 107453
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id: 107454
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id: 107455
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id: 107456
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id: 107457
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id: 107458
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id: 107459
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id: 107460
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id: 107461
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id: 107462
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id: 107463
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id: 107464
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id: 107465
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id: 107466
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id: 107467
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id: 107468
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id: 107469
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id: 107470
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id: 107471
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id: 107472
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id: 107473
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id: 107474
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id: 107475
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id: 107476
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id: 107477
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id: 107478
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id: 107479
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id: 107480
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id: 107481
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id: 107482
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id: 107483
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id: 107484
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id: 107485
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id: 107486
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id: 107487
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id: 107488
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id: 107489
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id: 107490
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id: 107491
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id: 107492
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id: 107493
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id: 107494
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id: 107495
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id: 107496
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id: 107497
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id: 107498
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id: 107499
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id: 107500
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id: 107501
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id: 107502
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id: 107503
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id: 107504
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id: 107505
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id: 107506
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id: 107507
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id: 107508
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id: 107509
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id: 107510
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id: 107511
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id: 107512
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id: 107513
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id: 107514
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id: 107515
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id: 107516
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id: 107517
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id: 107518
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id: 107519
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id: 107520
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id: 107521
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id: 107522
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id: 107523
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id: 107524
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id: 107525
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id: 107526
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id: 107527
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id: 107528
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id: 107529
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id: 107530
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id: 107531
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id: 107532
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id: 107533
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id: 107534
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id: 107535
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id: 107536
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id: 107537
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id: 107538
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id: 107539
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id: 107540
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id: 107541
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id: 107542
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id: 107567
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id: 107585
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