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mf_newforms • Show schema
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{'Nk2': 3600, 'analytic_conductor': 13.275429751291638, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [225, 2, [101, 127], [2, 1]], 'cm_discs': [], 'conrey_indexes': [199], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, 1]], [7, [576, 0, 1]], [11, [52, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014467296067809, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '225.4.b.e', 'level': 225, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '15.4.a.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+iq^{2}+7q^{4}+24iq^{7}+15iq^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '225.4.b', 'trace_display': [0, 0, 0, 0], 'trace_hash': 2041590200024138205, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.943', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.374', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '154.542', 'prec': 24}], 'trace_zratio': 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6440, 0, 0, 63168, 0, 26944, 0, 0, -15744, 0, 0, 0, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [0, 0], [7, 0], [0, 0], [0, 0], [0, 24], [0, 15], [0, 0], [0, 0], [-52, 0], [0, 0], [0, 22], [-24, 0], [0, 0], [41, 0], [0, -14], [0, 0], [20, 0], [0, 0], [0, 0], [0, -52], [0, 168], [0, 0], [0, 0], [-22, 0], [0, 0], [0, 168], [230, 0], [0, 0], [-288, 0], [0, 161], [0, 0], [14, 0], [0, 0], [0, 0], [0, 34], [0, 20], [0, 0], [0, 0], [-122, 0], [0, 0], [0, -188], [-364, 0], [0, 0], [-168, 0], [0, 256], [0, 0], [-233, 0], [0, 0], [0, 0], [0, 154], [0, 338], [0, 0], [0, 0], [-360, 0], [0, 0], [0, 230], [100, 0], [0, 0], [742, 0], [0, -288], [0, 0], [167, 0], [0, 0], [0, 0], [0, 84], [0, -98], [0, 0], [0, 0], [328, 0], [0, 0], [0, -38], [-34, 0], [0, 0], [140, 0], [0, -1248], [0, 0], [240, 0], [0, 0], [0, 0], [0, -122], [0, -1212], [0, 0], [0, 0], [188, 0], [0, 0], [0, -780], [330, 0], [0, 0], [-528, 0], [0, 1176], [0, 0], [-256, 0], [0, 0], [0, 0], [0, -866], [0, -233], [0, 0], [0, 0]], 'ap': [[0, 1], [0, 0], [0, 0], [0, 24], [-52, 0], [0, 22], [0, -14], [20, 0], [0, 168], [230, 0], [-288, 0], [0, 34], [-122, 0], [0, -188], [0, 256], [0, 338], [100, 0], [742, 0], [0, 84], [328, 0], [0, -38], [240, 0], [0, -1212], [330, 0], [0, -866], [1218, 0], [0, -88], [0, 36], [970, 0], [0, -1042], [0, -1936], [-732, 0], [0, -2214], [-20, 0], [-1330, 0], [-1208, 0], [0, 3514], [0, -2068], [0, -24], [0, 618], [3340, 0], [-178, 0], [1888, 0], [0, 1922], [0, 2526], [1160, 0], [-4468, 0], [0, 6032], [0, 2636], [-4830, 0], [0, -2682], [2320, 0], [2002, 0], [-132, 0], [0, -7614], [0, 4888], [1270, 0], [1072, 0], [0, 5394], [-2442, 0], [0, 2772], [0, -4542], [0, -5116], [2808, 0], [0, -7318], [0, 2246], [1332, 0], [0, 11534], [0, 11956], [-4870, 0], [0, -10722], [120, 0], [0, -3936], [0, 3022], [13340, 0], [0, 1008], [9630, 0], [0, -7126], [8718, 0], [10870, 0], [-9700, 0], [862, 0], [-15792, 0], [0, 11602], [440, 0], [0, 10188], [-13310, 0], [0, -3226], [-6582, 0], [0, 15072], [0, 476], [-19680, 0], [0, 5944], [-10772, 0], [-8140, 0], [0, 13768], [22150, 0], [-1562, 0], [0, -668], [-6138, 0], [0, 10484], [0, 3606], [0, -12252], [-14550, 0], [-25468, 0], [0, -12866], [0, -14844], [0, -20402], [10760, 0], [14282, 0], [0, -11056], [0, -16418], [0, -10374], [5260, 0], [21352, 0], [29118, 0], [0, 5772], [0, -14264], [0, -6902], [20140, 0], [-3218, 0], [0, -7518], [0, -18114], [0, 23868], [172, 0], [22138, 0], [-3070, 0], [15600, 0], [0, -20696], [0, -30778], [-11740, 0], [0, -2632], [-20528, 0], [0, -21646], [-18282, 0], [24190, 0], [0, 25698], [0, -33436], [0, -37594], [4730, 0], [-8748, 0], [-44142, 0], [0, 3992], [0, -14444], [-42150, 0], [13400, 0], [0, -8658], [0, 42826], [35900, 0], [0, 3088], [0, 35274], [-25042, 0], [0, 12572], [0, -21864], [0, -31236], [-8272, 0], [-20200, 0], [31010, 0], [0, 39174], [4138, 0], [0, 23676], [0, -18922], [0, -39656], [33228, 0], [0, -974], [0, 13608], [13472, 0], [0, 3234]], 'char_orbit_index': 2, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 18014467296067809, 'hecke_ring_character_values': [[101, [1, 0]], [127, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '225.4.b.e', 'level': 225, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 3600, 'analytic_conductor': 13.275429751291638, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [225, 2, [101, 127], [2, 1]], 'conrey_indexes': [199], 'cusp_dim': 78, 'dim': 22, 'eis_dim': 24, 'eis_new_dim': 2, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 68786585825, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 4], 'label': '225.4.b', 'level': 225, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 102, 'mf_new_dim': 24, 'num_forms': 9, 'prim_orbit_index': 2, 'relative_dim': 22, 'sturm_bound': 120, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [22, 0, 0, -98, 0, 0, 0, 0, 0, 0, -90, 0, 0, 288, 0, 314, 0, 0, -154, 0, 0, 0, 0, 0, 0, 516, 0, 0, 708, 0, 396, 0, 0, 194, 0, 0, 0, 0, 0, 0, -1326, 0, 0, 402, 0, -324, 0, 0, -1742, 0, 0, 0, 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'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 182194
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '225.4.b.e', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '15.4.a.a', 'target_level': 15, 'twist_class_label': '15.4.a.a', 'twist_class_level': 15, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 182195
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '225.4.b.e', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '45.4.a.c', 'target_level': 45, 'twist_class_label': '15.4.a.a', 'twist_class_level': 15, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 182196
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '225.4.b.e', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '75.4.a.b', 'target_level': 75, 'twist_class_label': '15.4.a.a', 'twist_class_level': 15, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 182197
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '225.4.b.e', 'source_level': 225, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '75.4.b.b', 'target_level': 75, 'twist_class_label': '15.4.a.a', 'twist_class_level': 15, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 182198
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '225.4.b.e', 'source_level': 225, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '75.4.b.b', 'target_level': 75, 'twist_class_label': '15.4.a.a', 'twist_class_level': 15, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 182199
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '225.4.b.e', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '225.4.a.f', 'target_level': 225, 'twist_class_label': '15.4.a.a', 'twist_class_level': 15, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 182200
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '225.4.b.e', 'source_level': 225, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '225.4.b.e', 'target_level': 225, 'twist_class_label': '15.4.a.a', 'twist_class_level': 15, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 182201
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '225.4.b.e', 'source_level': 225, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '225.4.b.e', 'target_level': 225, 'twist_class_label': '15.4.a.a', 'twist_class_level': 15, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 182202
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '225.4.b.e', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '240.4.a.e', 'target_level': 240, 'twist_class_label': '15.4.a.a', 'twist_class_level': 15, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 182203
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '225.4.b.e', 'source_level': 225, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '405.4.e.g', 'target_level': 405, 'twist_class_label': '15.4.a.a', 'twist_class_level': 15, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 182204
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '225.4.b.e', 'source_level': 225, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '405.4.e.i', 'target_level': 405, 'twist_class_label': '15.4.a.a', 'twist_class_level': 15, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 182205
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '225.4.b.e', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '720.4.a.n', 'target_level': 720, 'twist_class_label': '15.4.a.a', 'twist_class_level': 15, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 182206
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '225.4.b.e', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '735.4.a.e', 'target_level': 735, 'twist_class_label': '15.4.a.a', 'twist_class_level': 15, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 182207
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '225.4.b.e', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '960.4.a.b', 'target_level': 960, 'twist_class_label': '15.4.a.a', 'twist_class_level': 15, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 4}
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id: 182208
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '225.4.b.e', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '960.4.a.ba', 'target_level': 960, 'twist_class_label': '15.4.a.a', 'twist_class_level': 15, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 4}
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id: 182209
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '225.4.b.e', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1200.4.a.t', 'target_level': 1200, 'twist_class_label': '15.4.a.a', 'twist_class_level': 15, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 182210
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '225.4.b.e', 'source_level': 225, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1200.4.f.b', 'target_level': 1200, 'twist_class_label': '15.4.a.a', 'twist_class_level': 15, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 182211
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '225.4.b.e', 'source_level': 225, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1200.4.f.b', 'target_level': 1200, 'twist_class_label': '15.4.a.a', 'twist_class_level': 15, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 182212
{'conductor': 165, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '225.4.b.e', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1815.4.a.e', 'target_level': 1815, 'twist_class_label': '15.4.a.a', 'twist_class_level': 15, 'twisting_char_label': '165.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 182213
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '225.4.b.e', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2205.4.a.l', 'target_level': 2205, 'twist_class_label': '15.4.a.a', 'twist_class_level': 15, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 539325
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 18014467296067809, 'p': 2}
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id: 539326
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014467296067809, 'p': 3}
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id: 539327
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014467296067809, 'p': 5}
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id: 539328
{'charpoly_factorization': [[[576, 0, 1], 1]], 'hecke_orbit_code': 18014467296067809, 'p': 7}
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id: 539329
{'charpoly_factorization': [[[52, 1], 2]], 'hecke_orbit_code': 18014467296067809, 'p': 11}
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id: 539330
{'charpoly_factorization': [[[484, 0, 1], 1]], 'hecke_orbit_code': 18014467296067809, 'p': 13}
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id: 539331
{'charpoly_factorization': [[[196, 0, 1], 1]], 'hecke_orbit_code': 18014467296067809, 'p': 17}
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id: 539332
{'charpoly_factorization': [[[-20, 1], 2]], 'hecke_orbit_code': 18014467296067809, 'p': 19}
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id: 539333
{'charpoly_factorization': [[[28224, 0, 1], 1]], 'hecke_orbit_code': 18014467296067809, 'p': 23}
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id: 539334
{'charpoly_factorization': [[[-230, 1], 2]], 'hecke_orbit_code': 18014467296067809, 'p': 29}
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id: 539335
{'charpoly_factorization': [[[288, 1], 2]], 'hecke_orbit_code': 18014467296067809, 'p': 31}
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id: 539336
{'charpoly_factorization': [[[1156, 0, 1], 1]], 'hecke_orbit_code': 18014467296067809, 'p': 37}
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id: 539337
{'charpoly_factorization': [[[122, 1], 2]], 'hecke_orbit_code': 18014467296067809, 'p': 41}
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id: 539338
{'charpoly_factorization': [[[35344, 0, 1], 1]], 'hecke_orbit_code': 18014467296067809, 'p': 43}
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id: 539339
{'charpoly_factorization': [[[65536, 0, 1], 1]], 'hecke_orbit_code': 18014467296067809, 'p': 47}
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id: 539340
{'charpoly_factorization': [[[114244, 0, 1], 1]], 'hecke_orbit_code': 18014467296067809, 'p': 53}
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id: 539341
{'charpoly_factorization': [[[-100, 1], 2]], 'hecke_orbit_code': 18014467296067809, 'p': 59}
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id: 539342
{'charpoly_factorization': [[[-742, 1], 2]], 'hecke_orbit_code': 18014467296067809, 'p': 61}
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id: 539343
{'charpoly_factorization': [[[7056, 0, 1], 1]], 'hecke_orbit_code': 18014467296067809, 'p': 67}
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id: 539344
{'charpoly_factorization': [[[-328, 1], 2]], 'hecke_orbit_code': 18014467296067809, 'p': 71}
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id: 539345
{'charpoly_factorization': [[[1444, 0, 1], 1]], 'hecke_orbit_code': 18014467296067809, 'p': 73}
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id: 539346
{'charpoly_factorization': [[[-240, 1], 2]], 'hecke_orbit_code': 18014467296067809, 'p': 79}
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id: 539347
{'charpoly_factorization': [[[1468944, 0, 1], 1]], 'hecke_orbit_code': 18014467296067809, 'p': 83}
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id: 539348
{'charpoly_factorization': [[[-330, 1], 2]], 'hecke_orbit_code': 18014467296067809, 'p': 89}
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id: 539349
{'charpoly_factorization': [[[749956, 0, 1], 1]], 'hecke_orbit_code': 18014467296067809, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 5, 'label': '225.4.b.e', 'level': 225, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 156966000
{'hecke_orbit_code': 18014467296067809, 'n': 1, 'trace_an': 2}
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id: 156966001
{'hecke_orbit_code': 18014467296067809, 'n': 2, 'trace_an': 0}
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id: 156966002
{'hecke_orbit_code': 18014467296067809, 'n': 3, 'trace_an': 0}
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id: 156966003
{'hecke_orbit_code': 18014467296067809, 'n': 4, 'trace_an': 14}
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id: 156966004
{'hecke_orbit_code': 18014467296067809, 'n': 5, 'trace_an': 0}
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id: 156966005
{'hecke_orbit_code': 18014467296067809, 'n': 6, 'trace_an': 0}
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id: 156966006
{'hecke_orbit_code': 18014467296067809, 'n': 7, 'trace_an': 0}
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id: 156966007
{'hecke_orbit_code': 18014467296067809, 'n': 8, 'trace_an': 0}
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id: 156966008
{'hecke_orbit_code': 18014467296067809, 'n': 9, 'trace_an': 0}
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id: 156966009
{'hecke_orbit_code': 18014467296067809, 'n': 10, 'trace_an': 0}
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id: 156966010
{'hecke_orbit_code': 18014467296067809, 'n': 11, 'trace_an': -104}
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id: 156966011
{'hecke_orbit_code': 18014467296067809, 'n': 12, 'trace_an': 0}
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id: 156966012
{'hecke_orbit_code': 18014467296067809, 'n': 13, 'trace_an': 0}
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