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mf_newforms • Show schema
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{'Nk2': 1700, 'analytic_conductor': 3.3936420859044163, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1], [17, 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': [425, 1, [52, 326], [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]], [3, [2, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 33554857, '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': False, 'label': '425.2.a.a', 'level': 425, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 17], 'level_radical': 85, 'minimal_twist': '85.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-2q^{3}-q^{4}+2q^{6}+2q^{7}+3q^{8}+\\cdots', 'related_objects': ['EllipticCurve/Q/425/a'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '425.2.a', 'trace_display': [-1, -2, 0, 2], 'trace_hash': 2253942635772777208, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.999', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.986', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.005', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, 'traces': [1, -1, -2, -1, 0, 2, 2, 3, 1, 0, 2, 2, -2, -2, 0, -1, -1, -1, 0, 0, -4, -2, -6, -6, 0, 2, 4, -2, -6, 0, -10, -5, -4, 1, 0, -1, -2, 0, 4, 0, 10, 4, -4, -2, 0, 6, -12, 2, -3, 0, 2, 2, 10, -4, 0, 6, 0, 6, 8, 0, -14, 10, 2, 7, 0, 4, -8, 1, 12, 0, -2, 3, 14, 2, 0, 0, 4, -4, -14, 0, -11, -10, -4, 4, 0, 4, 12, 6, 6, 0, -4, 6, 20, 12, 0, 10, -2, 3, 2, 0, -6, -2, -12, -6, 0, -10, -2, -4, 2, 0, 4, -2, 6, 0, 0, 6, -2, -8, -2, 0, -7, 14, -20, 10, 0, -2, -8, 3, 8, 0, 6, 4, 0, 8, 0, -3, 2, -12, 14, 0, 24, 2, -4, -1, 0, -14, 6, 2, 6, 0, -12, 0, -1, -4, 0, -4, -6, 14, -20, 0, -12, 11, 2, -10, 0, 4, -2, -12, -9, 0, 0, 4, 6, -12, 0, -2, -16, -6, -24, 0, 26, 4, 28, -18, 0, -20, -2, 12, 8, 0, 8, -14, -18, 2, 0, 3, -2, -2, 6, 0, 16, 6, -12, -2, 0, 12, -6, 2, 0, 0, 2, -10, 4, 2, 0, 12, -20, -2, -28, 0, 2, -4, -16, -10, 0, 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-4, 0, -2, 12, -56, -12, 0, -8, 22, 2, 24, 0, 6, -16, 4, -8, 0, 0, -16, 34, -18, 0, -4, 18, 6, 4, 0, -6, 8, -26, 0, 0, -4, -6, -24, 3, 0, 12, 6, 2, -16, 0, 12, 6, 28, -14, 0, -6, 2, 0, 12, 0, 6, -18, 28, -16, 0, -20, -20, -18, 26, 0, -2, 12, 32, 4, 0, -2, 0, 38, -4, 0, 2, 4, 34, -36, 0, -16, 42, 6, -2, 0, -60, -14, 3, 28, 0, 0, -40, -18, 26, 0, 7, -26, 12, -2, 0, 12, -14, -10, 12, 0, 12, -4, -34, 28, 0, -6, -34, -8, -24, 0, -40, 38, 4, -20, 0, -34, -2, 20, -28, 0, 16, 6, -2, 0, 0, 28, 14, -6, 60, 0, 42, 3, -16, -2, 0, 24, 22, 12, -16, 0, -22, 16, 0, 12, 0, 6, -24, -18, 60, 0, -10, -20, 16, 18, 0, -24, -30, -2, -6, 0, -38, 0, -8, 6, 0, -10, 12, 4, 16, 0, -32, 26, 4, 8, 0, -36, -12, 30, 58, 0, 0, -14, -12, 28, 0, -6, 38, 16, 4, 0, 34, -12, -60, -8, 0, 8, -26, -28, -28, 0, 20, -6, 18, -10, 0, 8, 24, 18, 4, 0, 69, -4, -2, 6, 0, -24, -32, -21, 0, 0, -8, -10, 28, 22, 0, 14, -34, 4, 12, 0, 2, 16, 6, -60, 0, -6, 48, 0, 24, 0, -58, 50, -32, 4, 0, -8, 62, 14, -8, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [-2], [-1], [0], [2], [2], [3], [1], [0], [2], [2], [-2], [-2], [0], [-1], [-1], [-1], [0], [0], [-4], [-2], [-6], [-6], [0], [2], [4], [-2], [-6], [0], [-10], [-5], [-4], [1], [0], [-1], [-2], [0], [4], [0], [10], [4], [-4], [-2], [0], [6], [-12], [2], [-3], [0], [2], [2], [10], [-4], [0], [6], [0], [6], [8], [0], [-14], [10], [2], [7], [0], [4], [-8], [1], [12], [0], [-2], [3], [14], [2], [0], [0], [4], [-4], [-14], [0], [-11], [-10], [-4], [4], [0], [4], [12], [6], [6], [0], [-4], [6], [20], [12], [0], [10], [-2], [3], [2], [0]], 'ap': [[-1], [-2], [0], [2], [2], [-2], [-1], [0], [-6], [-6], [-10], [-2], [10], [-4], [-12], [10], [8], [-14], [-8], [-2], [14], [-14], [-4], [6], [-2], [-6], [-12], [-2], [2], [6], [-8], [6], [2], [14], [6], [-12], [-6], [2], [-2], [6], [-24], [26], [8], [-18], [-2], [6], [2], [-16], [2], [10], [14], [-8], [-6], [28], [2], [8], [10], [-16], [30], [-6], [-6], [-30], [16], [6], [-2], [-10], [16], [6], [26], [22], [14], [20], [34], [-10], [-2], [0], [26], [14], [18], [-38], [18], [26], [-38], [34], [6], [-24], [18], [-6], [-26], [36], [-28], [-18], [-22], [-16], [-14], [-6], [-34], [-30], [-32], [-14], [22], [-2], [-4], [-38], [18], [-6], [12], [30], [16], [10], [-18], [-46], [-42], [-14], [-4], [-30], [14], [-28], [14], [-44], [46], [-10], [30], [-18], [2], [-30], [-6], [14], [12], [2], [-8], [6], [-2], [22], [6], [-18], [6], [6], [2], [26], [-2], [2], [34], [42], [-2], [26], [-34], [-34], [-24], [4], [14], [42], [-16], [22], [-30], [-38], [16], [58], [38], [34], [-26], [18], [-32], [-8], [-34], [6], [-58], [62]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 33554857, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '425.2.a.a', 'level': 425, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [3, 9, 9, 5], 'Nk2': 1700, 'analytic_conductor': 3.3936420859044163, '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': [425, 1, [52, 326], [1, 1]], 'conrey_index': 1, 'cusp_dim': 39, 'dim': 26, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 33554857, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 4, 4, 5, 5], 'label': '425.2.a', 'level': 425, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 17], 'level_radical': 85, 'mf_dim': 50, 'mf_new_dim': 26, 'num_forms': 10, 'plus_dim': 8, 'prim_orbit_index': 1, 'relative_dim': 26, 'sturm_bound': 90, 'trace_bound': 3, 'trace_display': [2, 0, 0, 4], 'traces': [26, 2, 0, 30, 0, 0, 4, 6, 22, 0, -4, -4, 8, -16, 0, 38, 2, -2, 8, 0, 4, -8, 0, -36, 0, -16, 12, 16, -8, 0, 8, -6, -28, -2, 0, 26, 12, -8, 8, 0, -24, -4, -4, 20, 0, 0, -20, 24, 22, 0, -4, -8, -20, -40, 0, -44, 0, 4, 8, 0, 12, -4, 24, 54, 0, -48, 20, 6, 8, 0, 36, 2, 32, -48, 0, -16, -4, -36, 40, 0, -30, 0, -20, -68, 0, -24, 8, -28, 4, 0, 48, 12, 28, -48, 0, -152, -4, 38, -24, 0, 8, -8, -28, -96, 0, -24, -32, -60, 0, 0, 56, 4, 32, -92, 0, -40, 32, -64, -8, 0, -6, -32, -24, 36, 0, -28, 4, -10, 36, 0, -80, -4, 16, 40, 0, -18, 0, -52, -28, 0, -8, 40, 28, 42, 0, 96, -20, 60, -16, 0, 64, 32, 10, 48, 0, 100, 12, 84, 64, 0, -48, 6, -36, -24, 0, -56, 12, 12, 26, 0, 24, 44, -36, 56, 0, 84, -56, 8, 72, 0, -48, -4, 72, -16, 0, 172, -4, -12, 20, 0, 40, -36, -24, 4, 0, 66, -4, 84, 76, 0, -64, -32, -48, 8, 0, 168, 76, -40, -72, 0, 72, -60, -44, 100, 0, -140, -44, 24, -96, 0, -12, 8, -20, 104, 0, -212, 4, 32, -64, 0, 24, -28, 12, -84, 0, 8, -4, 20, -24, 0, -28, 78, 136, 36, 0, 80, -8, -48, -112, 0, 0, -44, 12, 72, 0, 166, -16, -4, 32, 0, -76, 12, 52, -96, 0, 36, -52, 60, -44, 0, 112, -2, -24, 16, 0, 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-48, 8, 0, 292, -128, 56, 100, 0, 16, -132, -8, -4, 0, 108, 84, -128, -484, 0, 20, -80, 52, -4, 0, -72, -108, -32, -144, 0, -248, 24, -8, 104, 0, -100, 0, 64, 32, 0, 148, 8, -88, 136, 0, -152, 16, -120, -262, 0, -20, 36, -20, 216, 0, 32, -8, 56, -212, 0, 100, 116, 40, -24, 0, -116, -68, 8, -112, 0, -76, 24, -24, -132, 0, -44, 40, -32, -152, 0, 180, 88, 52, -160, 0, 140, -4, 16, 360, 0, -420, 160, -24, 56, 0, 72, 24, -14, 148, 0, -456, 16, 12, 228, 0, -162, 32, 24, 276, 0, -168, 128, 20, -8, 0, 192, -4, 4, -192, 0, 144, -88, -72, -32, 0, -20, 28, -68, -320, 0, 100, 0, -20, 240, 0, -24, -16, -4, -328, 0, -536, 0, -88, 40, 0, -80, -54, -20, -36, 0, -424, 72, 16, 44, 0, -72, 60, 8, 236, 0, 356, -88, -32, -8, 0, 20, -200, 0, -612, 0, 88, -132, -120, 76, 0, -108, -64, -116, 96, 0, -576, -52, -12, 56, 0, 0, -108, -4, -216, 0, 24, -20, 116, -48, 0, 128, 36, 100, -472, 0, -20, 12, 164, -240, 0, 128, -8, -88, -392, 0, -248, -12, -108, -212, 0, -104, -8, 88, -548, 0, -144, 112, -28, -136, 0, 286, -112, -180, -468, 0, -252, -12, 50, 4, 0, -40, -68, 44, 0, 0, -276, -140, 12, 112, 0, 12, 80, -108, 560, 0, 0, 152, 8, -48, 0, 300, 76, 80, -60, 0, -288, -52, -52, 16, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 311304
{'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': False, 'source_label': '425.2.a.a', 'source_level': 425, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '85.2.a.a', 'target_level': 85, 'twist_class_label': '85.2.a.a', 'twist_class_level': 85, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 311305
{'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': False, 'source_label': '425.2.a.a', 'source_level': 425, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '425.2.a.a', 'target_level': 425, 'twist_class_label': '85.2.a.a', 'twist_class_level': 85, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 311306
{'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': False, 'source_label': '425.2.a.a', 'source_level': 425, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '425.2.b.c', 'target_level': 425, 'twist_class_label': '85.2.a.a', 'twist_class_level': 85, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 311307
{'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': False, 'source_label': '425.2.a.a', 'source_level': 425, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '765.2.a.a', 'target_level': 765, 'twist_class_label': '85.2.a.a', 'twist_class_level': 85, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 311308
{'conductor': 20, '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': False, 'source_label': '425.2.a.a', 'source_level': 425, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1360.2.a.b', 'target_level': 1360, 'twist_class_label': '85.2.a.a', 'twist_class_level': 85, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 311309
{'conductor': 85, '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': False, 'source_label': '425.2.a.a', 'source_level': 425, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1445.2.a.c', 'target_level': 1445, 'twist_class_label': '85.2.a.a', 'twist_class_level': 85, 'twisting_char_label': '85.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 311310
{'conductor': 85, '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': False, 'source_label': '425.2.a.a', 'source_level': 425, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1445.2.d.a', 'target_level': 1445, 'twist_class_label': '85.2.a.a', 'twist_class_level': 85, 'twisting_char_label': '85.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 311311
{'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': False, 'source_label': '425.2.a.a', 'source_level': 425, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3825.2.a.l', 'target_level': 3825, 'twist_class_label': '85.2.a.a', 'twist_class_level': 85, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 311312
{'conductor': 35, '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': False, 'source_label': '425.2.a.a', 'source_level': 425, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '4165.2.a.l', 'target_level': 4165, 'twist_class_label': '85.2.a.a', 'twist_class_level': 85, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 311313
{'conductor': 40, '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': False, 'source_label': '425.2.a.a', 'source_level': 425, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '5440.2.a.e', 'target_level': 5440, 'twist_class_label': '85.2.a.a', 'twist_class_level': 85, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 311314
{'conductor': 40, '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': False, 'source_label': '425.2.a.a', 'source_level': 425, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '5440.2.a.x', 'target_level': 5440, 'twist_class_label': '85.2.a.a', 'twist_class_level': 85, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
-
id: 311315
{'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': False, 'source_label': '425.2.a.a', 'source_level': 425, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '6800.2.a.v', 'target_level': 6800, 'twist_class_label': '85.2.a.a', 'twist_class_level': 85, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
-
id: 311316
{'conductor': 17, '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': False, 'source_label': '425.2.a.a', 'source_level': 425, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '7225.2.a.d', 'target_level': 7225, 'twist_class_label': '85.2.a.a', 'twist_class_level': 85, 'twisting_char_label': '17.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 866375
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 2}
-
id: 866376
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 3}
-
id: 866377
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 5}
-
id: 866378
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 7}
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id: 866379
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 11}
-
id: 866380
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 13}
-
id: 866381
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 17}
-
id: 866382
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 19}
-
id: 866383
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 23}
-
id: 866384
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 29}
-
id: 866385
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 31}
-
id: 866386
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 37}
-
id: 866387
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 41}
-
id: 866388
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 43}
-
id: 866389
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 47}
-
id: 866390
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 53}
-
id: 866391
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 59}
-
id: 866392
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 61}
-
id: 866393
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 67}
-
id: 866394
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 71}
-
id: 866395
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 73}
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id: 866396
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 79}
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id: 866397
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 83}
-
id: 866398
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 89}
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id: 866399
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 33554857, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 1, 'label': '425.2.a.a', 'level': 425, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 104748
{'hecke_orbit_code': 33554857, 'n': 1, 'trace_an': 1}
-
id: 104749
{'hecke_orbit_code': 33554857, 'n': 2, 'trace_an': -1}
-
id: 104750
{'hecke_orbit_code': 33554857, 'n': 3, 'trace_an': -2}
-
id: 104751
{'hecke_orbit_code': 33554857, 'n': 4, 'trace_an': -1}
-
id: 104752
{'hecke_orbit_code': 33554857, 'n': 5, 'trace_an': 0}
-
id: 104753
{'hecke_orbit_code': 33554857, 'n': 6, 'trace_an': 2}
-
id: 104754
{'hecke_orbit_code': 33554857, 'n': 7, 'trace_an': 2}
-
id: 104755
{'hecke_orbit_code': 33554857, 'n': 8, 'trace_an': 3}
-
id: 104756
{'hecke_orbit_code': 33554857, 'n': 9, 'trace_an': 1}
-
id: 104757
{'hecke_orbit_code': 33554857, 'n': 10, 'trace_an': 0}
-
id: 104758
{'hecke_orbit_code': 33554857, 'n': 11, 'trace_an': 2}
-
id: 104759
{'hecke_orbit_code': 33554857, 'n': 12, 'trace_an': 2}
-
id: 104760
{'hecke_orbit_code': 33554857, 'n': 13, 'trace_an': -2}
-
id: 104761
{'hecke_orbit_code': 33554857, 'n': 14, 'trace_an': -2}
-
id: 104762
{'hecke_orbit_code': 33554857, 'n': 15, 'trace_an': 0}
-
id: 104763
{'hecke_orbit_code': 33554857, 'n': 16, 'trace_an': -1}
-
id: 104764
{'hecke_orbit_code': 33554857, 'n': 17, 'trace_an': -1}
-
id: 104765
{'hecke_orbit_code': 33554857, 'n': 18, 'trace_an': -1}
-
id: 104766
{'hecke_orbit_code': 33554857, 'n': 19, 'trace_an': 0}
-
id: 104767
{'hecke_orbit_code': 33554857, 'n': 20, 'trace_an': 0}
-
id: 104768
{'hecke_orbit_code': 33554857, 'n': 21, 'trace_an': -4}
-
id: 104769
{'hecke_orbit_code': 33554857, 'n': 22, 'trace_an': -2}
-
id: 104770
{'hecke_orbit_code': 33554857, 'n': 23, 'trace_an': -6}
-
id: 104771
{'hecke_orbit_code': 33554857, 'n': 24, 'trace_an': -6}
-
id: 104772
{'hecke_orbit_code': 33554857, 'n': 25, 'trace_an': 0}
-
id: 104773
{'hecke_orbit_code': 33554857, 'n': 26, 'trace_an': 2}
-
id: 104774
{'hecke_orbit_code': 33554857, 'n': 27, 'trace_an': 4}
-
id: 104775
{'hecke_orbit_code': 33554857, 'n': 28, 'trace_an': -2}
-
id: 104776
{'hecke_orbit_code': 33554857, 'n': 29, 'trace_an': -6}
-
id: 104777
{'hecke_orbit_code': 33554857, 'n': 30, 'trace_an': 0}
-
id: 104778
{'hecke_orbit_code': 33554857, 'n': 31, 'trace_an': -10}
-
id: 104779
{'hecke_orbit_code': 33554857, 'n': 32, 'trace_an': -5}
-
id: 104780
{'hecke_orbit_code': 33554857, 'n': 33, 'trace_an': -4}
-
id: 104781
{'hecke_orbit_code': 33554857, 'n': 34, 'trace_an': 1}
-
id: 104782
{'hecke_orbit_code': 33554857, 'n': 35, 'trace_an': 0}
-
id: 104783
{'hecke_orbit_code': 33554857, 'n': 36, 'trace_an': -1}
-
id: 104784
{'hecke_orbit_code': 33554857, 'n': 37, 'trace_an': -2}
-
id: 104785
{'hecke_orbit_code': 33554857, 'n': 38, 'trace_an': 0}
-
id: 104786
{'hecke_orbit_code': 33554857, 'n': 39, 'trace_an': 4}
-
id: 104787
{'hecke_orbit_code': 33554857, 'n': 40, 'trace_an': 0}
-
id: 104788
{'hecke_orbit_code': 33554857, 'n': 41, 'trace_an': 10}
-
id: 104789
{'hecke_orbit_code': 33554857, 'n': 42, 'trace_an': 4}
-
id: 104790
{'hecke_orbit_code': 33554857, 'n': 43, 'trace_an': -4}
-
id: 104791
{'hecke_orbit_code': 33554857, 'n': 44, 'trace_an': -2}
-
id: 104792
{'hecke_orbit_code': 33554857, 'n': 45, 'trace_an': 0}
-
id: 104793
{'hecke_orbit_code': 33554857, 'n': 46, 'trace_an': 6}
-
id: 104794
{'hecke_orbit_code': 33554857, 'n': 47, 'trace_an': -12}
-
id: 104795
{'hecke_orbit_code': 33554857, 'n': 48, 'trace_an': 2}
-
id: 104796
{'hecke_orbit_code': 33554857, 'n': 49, 'trace_an': -3}
-
id: 104797
{'hecke_orbit_code': 33554857, 'n': 50, 'trace_an': 0}
-
id: 104798
{'hecke_orbit_code': 33554857, 'n': 51, 'trace_an': 2}
-
id: 104799
{'hecke_orbit_code': 33554857, 'n': 52, 'trace_an': 2}
-
id: 104800
{'hecke_orbit_code': 33554857, 'n': 53, 'trace_an': 10}
-
id: 104801
{'hecke_orbit_code': 33554857, 'n': 54, 'trace_an': -4}
-
id: 104802
{'hecke_orbit_code': 33554857, 'n': 55, 'trace_an': 0}
-
id: 104803
{'hecke_orbit_code': 33554857, 'n': 56, 'trace_an': 6}
-
id: 104804
{'hecke_orbit_code': 33554857, 'n': 57, 'trace_an': 0}
-
id: 104805
{'hecke_orbit_code': 33554857, 'n': 58, 'trace_an': 6}
-
id: 104806
{'hecke_orbit_code': 33554857, 'n': 59, 'trace_an': 8}
-
id: 104807
{'hecke_orbit_code': 33554857, 'n': 60, 'trace_an': 0}
-
id: 104808
{'hecke_orbit_code': 33554857, 'n': 61, 'trace_an': -14}
-
id: 104809
{'hecke_orbit_code': 33554857, 'n': 62, 'trace_an': 10}
-
id: 104810
{'hecke_orbit_code': 33554857, 'n': 63, 'trace_an': 2}
-
id: 104811
{'hecke_orbit_code': 33554857, 'n': 64, 'trace_an': 7}
-
id: 104812
{'hecke_orbit_code': 33554857, 'n': 65, 'trace_an': 0}
-
id: 104813
{'hecke_orbit_code': 33554857, 'n': 66, 'trace_an': 4}
-
id: 104814
{'hecke_orbit_code': 33554857, 'n': 67, 'trace_an': -8}
-
id: 104815
{'hecke_orbit_code': 33554857, 'n': 68, 'trace_an': 1}
-
id: 104816
{'hecke_orbit_code': 33554857, 'n': 69, 'trace_an': 12}
-
id: 104817
{'hecke_orbit_code': 33554857, 'n': 70, 'trace_an': 0}
-
id: 104818
{'hecke_orbit_code': 33554857, 'n': 71, 'trace_an': -2}
-
id: 104819
{'hecke_orbit_code': 33554857, 'n': 72, 'trace_an': 3}
-
id: 104820
{'hecke_orbit_code': 33554857, 'n': 73, 'trace_an': 14}
-
id: 104821
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id: 104822
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id: 104823
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id: 104824
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id: 104825
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id: 104826
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id: 104827
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id: 104828
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id: 104829
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id: 104830
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id: 104831
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id: 104832
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id: 104833
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id: 104834
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id: 104835
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id: 104836
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id: 104837
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id: 104838
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id: 104839
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id: 104840
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id: 104841
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id: 104842
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id: 104843
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id: 104844
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id: 104845
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id: 104846
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id: 104847
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id: 104848
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id: 104849
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id: 104850
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id: 104851
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id: 104852
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id: 104853
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id: 104854
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id: 104855
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id: 104856
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id: 104857
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id: 104858
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id: 104859
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id: 104860
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id: 104861
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id: 104862
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id: 104863
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id: 104864
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id: 104865
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id: 104866
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id: 104867
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id: 104868
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id: 104869
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id: 104870
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id: 104871
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id: 104872
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id: 104873
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id: 104874
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id: 104875
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id: 104876
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id: 104877
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id: 104878
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id: 104879
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id: 104880
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id: 104881
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id: 104882
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id: 104883
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id: 104884
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id: 104885
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id: 104886
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id: 104887
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id: 104888
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id: 104889
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id: 104890
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id: 104891
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id: 104892
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id: 104893
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id: 104894
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id: 104895
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id: 104896
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id: 104897
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id: 104898
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id: 104899
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id: 104900
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id: 104901
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id: 104902
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id: 104903
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id: 104904
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id: 104905
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id: 104906
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id: 104907
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id: 104908
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id: 104909
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id: 104910
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id: 104911
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id: 104912
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id: 104913
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id: 104914
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id: 104915
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id: 104916
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id: 104917
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id: 104918
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id: 104919
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id: 104920
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id: 104921
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id: 104922
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id: 104923
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id: 104924
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id: 104925
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id: 104926
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id: 104927
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id: 104928
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id: 104929
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id: 104930
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id: 104931
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id: 104932
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id: 104933
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id: 104934
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id: 104935
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id: 104936
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id: 104937
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id: 104938
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id: 104939
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id: 104940
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id: 104941
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id: 104942
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id: 104943
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id: 104944
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id: 104945
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id: 104946
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id: 104947
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id: 104948
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id: 104949
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id: 104950
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id: 104951
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id: 104952
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id: 104953
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id: 104954
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id: 104955
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id: 104956
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id: 104957
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id: 104958
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id: 104959
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id: 104960
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id: 104961
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id: 104962
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id: 104963
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id: 104964
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id: 104965
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id: 104966
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id: 104967
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id: 104968
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id: 104969
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id: 104970
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id: 104971
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id: 104972
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id: 104973
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id: 104974
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id: 104975
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id: 104976
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id: 104977
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id: 104978
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id: 104979
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id: 104980
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id: 104981
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id: 104982
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id: 104983
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id: 104984
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id: 104985
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id: 104986
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id: 104987
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id: 104988
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id: 104989
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id: 104990
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id: 104991
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id: 104992
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id: 104993
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id: 104994
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id: 104995
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id: 104996
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id: 104997
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id: 104998
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id: 104999
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id: 105000
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id: 105001
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id: 105002
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id: 105003
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id: 105004
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id: 105005
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