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mf_newforms • Show schema
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{'Nk2': 6480, 'analytic_conductor': 23.89577355232495, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [405, 3, [326, 82], [2, 3]], 'cm_discs': [], 'conrey_index': 136, 'conrey_indexes': [136, 271], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 1, 1]], [7, [576, -24, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021872709239189, '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, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [-1, 1], [0, 0], [0, 7], [0, -5], [0, 0], [24, -24], [-15, 0], [0, 0], [5, 0], [-52, 52], [0, 0], [0, -22], [0, 24], [0, 0], [-41, 41], [-14, 0], [0, 0], [-20, 0], [35, -35], [0, 0], [0, -52], [0, 168], [0, 0], [-25, 25], [22, 0], [0, 0], [168, 0], [-230, 230], [0, 0], [0, 288], [0, -161], [0, 0], [14, -14], [-120, 0], [0, 0], [-34, 0], [20, -20], [0, 0], [0, 75], [0, -122], [0, 0], [188, -188], [-364, 0], [0, 0], [-168, 0], [-256, 256], [0, 0], [0, -233], [0, -25], [0, 0], [154, -154], [-338, 0], [0, 0], [260, 0], [-360, 360], [0, 0], [0, -230], [0, -100], [0, 0], [-742, 742], [-288, 0], [0, 0], [-167, 0], [-110, 110], [0, 0], [0, 84], [0, -98], [0, 0], [120, -120], [-328, 0], [0, 0], [-38, 0], [34, -34], [0, 0], [0, -140], [0, 1248], [0, 0], [240, -240], [205, 0], [0, 0], [122, 0], [-1212, 1212], [0, 0], [0, 70], [0, 188], [0, 0], [780, -780], [330, 0], [0, 0], [-528, 0], [-1176, 1176], [0, 0], [0, -256], [0, 100], [0, 0], [-866, 866], [233, 0], [0, 0], [-175, 0]], 'ap': [[-1, 1], [0, 0], [0, -5], [24, -24], [-52, 52], [0, -22], [-14, 0], [-20, 0], [0, 168], [-230, 230], [0, 288], [-34, 0], [0, -122], [188, -188], [-256, 256], [-338, 0], [0, -100], [-742, 742], [0, 84], [-328, 0], [-38, 0], [240, -240], [-1212, 1212], [330, 0], [-866, 866], [1218, -1218], [0, 88], [36, 0], [-970, 0], [0, -1042], [1936, 0], [0, -732], [2214, -2214], [0, -20], [0, 1330], [1208, -1208], [0, 3514], [-2068, 0], [0, 24], [618, -618], [3340, 0], [-178, 0], [1888, -1888], [0, -1922], [2526, 0], [-1160, 0], [0, 4468], [-6032, 6032], [-2636, 2636], [0, -4830], [2682, 0], [0, -2320], [-2002, 2002], [132, 0], [0, 7614], [4888, -4888], [1270, 0], [1072, 0], [5394, -5394], [-2442, 2442], [0, -2772], [0, -4542], [5116, 0], [0, 2808], [7318, -7318], [-2246, 2246], [-1332, 1332], [0, 11534], [0, -11956], [-4870, 4870], [-10722, 10722], [120, 0], [-3936, 3936], [0, -3022], [-13340, 0], [0, 1008], [-9630, 9630], [7126, 0], [0, 8718], [0, 10870], [0, 9700], [-862, 862], [15792, 0], [11602, 0], [440, -440], [10188, -10188], [-13310, 0], [-3226, 3226], [-6582, 6582], [0, -15072], [476, 0], [19680, -19680], [-5944, 0], [0, -10772], [0, -8140], [-13768, 0], [0, -22150], [1562, 0], [-668, 0], [-6138, 0], [10484, -10484], [3606, 0], [0, -12252], [14550, -14550], [0, 25468], [12866, 0], [14844, -14844], [20402, 0], [0, -10760], [-14282, 14282], [0, -11056], [-16418, 0], [0, 10374], [5260, -5260], [21352, 0], [29118, -29118], [0, -5772], [-14264, 0], [0, -6902], [-20140, 20140], [0, 3218], [7518, -7518], [18114, -18114], [-23868, 0], [-172, 172], [-22138, 0], [-3070, 3070], [15600, 0], [-20696, 20696], [0, 30778], [11740, 0], [0, -2632], [0, 20528], [21646, 0], [0, -18282], [0, 24190], [-25698, 0], [0, -33436], [0, 37594], [4730, 0], [-8748, 0], [-44142, 44142], [0, -3992], [-14444, 0], [42150, 0], [-13400, 13400], [8658, -8658], [-42826, 42826], [0, 35900], [-3088, 0], [0, 35274], [25042, 0], [12572, 0], [0, 21864], [-31236, 31236], [-8272, 8272], [20200, 0], [-31010, 31010], [-39174, 0], [0, 4138], [-23676, 23676], [18922, 0], [0, -39656], [-33228, 0], [0, 974], [13608, -13608], [13472, 0], [3234, -3234]], 'char_orbit_index': 5, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 27021872709239189, 'hecke_ring_character_values': [[326, [0, -1]], [82, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '405.4.e.g', 'level': 405, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 6480, 'analytic_conductor': 23.89577355232495, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [405, 3, [326, 82], [2, 3]], 'conrey_index': 136, 'cusp_dim': 300, 'dim': 96, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 274945016213, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 12, 12], 'label': '405.4.e', 'level': 405, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 348, 'mf_new_dim': 96, 'num_forms': 24, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 216, 'trace_bound': 7, 'trace_display': [0, 0, 0, -60], 'traces': [96, 0, 0, -192, 0, 0, -60, 0, 0, 0, 0, 0, 120, 0, 0, -768, 0, 0, -960, 0, 0, 72, 0, 0, -1200, 0, 0, 1920, 0, 0, -600, 0, 0, -1350, 0, 0, -1680, 0, 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0, -112446, 0, 0, 284952, 0, 0, 4320, 0, 0, -210528, 0, 0, -17928, 0, 0, 69036, 0, 0, 379980, 0, 0, -106560, 0, 0, 208836, 0, 0, 47988, 0, 0, -962124, 0, 0, -62412, 0, 0, -203040, 0, 0, -122952, 0, 0, -151530, 0, 0, 87048, 0, 0, -30816, 0, 0, -87120, 0, 0, 401892, 0, 0, 251400, 0, 0, 231480, 0, 0, 163596, 0, 0, 22500], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 304211
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.4.e.g', 'source_level': 405, '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': '9.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 304212
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.4.e.g', 'source_level': 405, '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': '9.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 304213
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.4.e.g', 'source_level': 405, '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': '45.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 304214
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.4.e.g', 'source_level': 405, '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': '45.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 304215
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.4.e.g', 'source_level': 405, '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': '45.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 304216
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.4.e.g', 'source_level': 405, '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': '45.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 304217
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.4.e.g', 'source_level': 405, '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': '36.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 304218
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.4.e.g', 'source_level': 405, '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': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 304219
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.4.e.g', 'source_level': 405, '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': '9.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 304220
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.4.e.g', 'source_level': 405, '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': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 304221
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.4.e.g', 'source_level': 405, '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': '9.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 304222
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.4.e.g', 'source_level': 405, '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': '36.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 304223
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.4.e.g', 'source_level': 405, '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': '63.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 304224
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.4.e.g', 'source_level': 405, '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': '72.n', 'twisting_char_orbit': 14, 'weight': 4}
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id: 304225
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.4.e.g', 'source_level': 405, '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': '72.p', 'twisting_char_orbit': 16, 'weight': 4}
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id: 304226
{'conductor': 180, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.4.e.g', 'source_level': 405, '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': '180.p', 'twisting_char_orbit': 16, 'weight': 4}
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id: 304227
{'conductor': 180, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.4.e.g', 'source_level': 405, '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': '180.x', 'twisting_char_orbit': 24, 'weight': 4}
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id: 304228
{'conductor': 99, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.4.e.g', 'source_level': 405, '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': '99.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 304229
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '405.4.e.g', 'source_level': 405, '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': '63.o', 'twisting_char_orbit': 15, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 846300
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 27021872709239189, 'p': 2}
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id: 846301
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021872709239189, 'p': 3}
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id: 846302
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 27021872709239189, 'p': 5}
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id: 846303
{'charpoly_factorization': [[[576, -24, 1], 1]], 'hecke_orbit_code': 27021872709239189, 'p': 7}
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id: 846304
{'charpoly_factorization': [[[2704, 52, 1], 1]], 'hecke_orbit_code': 27021872709239189, 'p': 11}
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id: 846305
{'charpoly_factorization': [[[484, 22, 1], 1]], 'hecke_orbit_code': 27021872709239189, 'p': 13}
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id: 846306
{'charpoly_factorization': [[[14, 1], 2]], 'hecke_orbit_code': 27021872709239189, 'p': 17}
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id: 846307
{'charpoly_factorization': [[[20, 1], 2]], 'hecke_orbit_code': 27021872709239189, 'p': 19}
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id: 846308
{'charpoly_factorization': [[[28224, -168, 1], 1]], 'hecke_orbit_code': 27021872709239189, 'p': 23}
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id: 846309
{'charpoly_factorization': [[[52900, 230, 1], 1]], 'hecke_orbit_code': 27021872709239189, 'p': 29}
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id: 846310
{'charpoly_factorization': [[[82944, -288, 1], 1]], 'hecke_orbit_code': 27021872709239189, 'p': 31}
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id: 846311
{'charpoly_factorization': [[[34, 1], 2]], 'hecke_orbit_code': 27021872709239189, 'p': 37}
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id: 846312
{'charpoly_factorization': [[[14884, 122, 1], 1]], 'hecke_orbit_code': 27021872709239189, 'p': 41}
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id: 846313
{'charpoly_factorization': [[[35344, -188, 1], 1]], 'hecke_orbit_code': 27021872709239189, 'p': 43}
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id: 846314
{'charpoly_factorization': [[[65536, 256, 1], 1]], 'hecke_orbit_code': 27021872709239189, 'p': 47}
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id: 846315
{'charpoly_factorization': [[[338, 1], 2]], 'hecke_orbit_code': 27021872709239189, 'p': 53}
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id: 846316
{'charpoly_factorization': [[[10000, 100, 1], 1]], 'hecke_orbit_code': 27021872709239189, 'p': 59}
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id: 846317
{'charpoly_factorization': [[[550564, 742, 1], 1]], 'hecke_orbit_code': 27021872709239189, 'p': 61}
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id: 846318
{'charpoly_factorization': [[[7056, -84, 1], 1]], 'hecke_orbit_code': 27021872709239189, 'p': 67}
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id: 846319
{'charpoly_factorization': [[[328, 1], 2]], 'hecke_orbit_code': 27021872709239189, 'p': 71}
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id: 846320
{'charpoly_factorization': [[[38, 1], 2]], 'hecke_orbit_code': 27021872709239189, 'p': 73}
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id: 846321
{'charpoly_factorization': [[[57600, -240, 1], 1]], 'hecke_orbit_code': 27021872709239189, 'p': 79}
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id: 846322
{'charpoly_factorization': [[[1468944, 1212, 1], 1]], 'hecke_orbit_code': 27021872709239189, 'p': 83}
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id: 846323
{'charpoly_factorization': [[[-330, 1], 2]], 'hecke_orbit_code': 27021872709239189, 'p': 89}
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id: 846324
{'charpoly_factorization': [[[749956, 866, 1], 1]], 'hecke_orbit_code': 27021872709239189, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 7, 'label': '405.4.e.g', 'level': 405, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 183476000
{'hecke_orbit_code': 27021872709239189, 'n': 1, 'trace_an': 2}
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id: 183476001
{'hecke_orbit_code': 27021872709239189, 'n': 2, 'trace_an': -1}
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id: 183476002
{'hecke_orbit_code': 27021872709239189, 'n': 3, 'trace_an': 0}
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id: 183476003
{'hecke_orbit_code': 27021872709239189, 'n': 4, 'trace_an': 7}
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id: 183476004
{'hecke_orbit_code': 27021872709239189, 'n': 5, 'trace_an': -5}
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id: 183476005
{'hecke_orbit_code': 27021872709239189, 'n': 6, 'trace_an': 0}
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id: 183476006
{'hecke_orbit_code': 27021872709239189, 'n': 7, 'trace_an': 24}
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id: 183476007
{'hecke_orbit_code': 27021872709239189, 'n': 8, 'trace_an': -30}
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id: 183476008
{'hecke_orbit_code': 27021872709239189, 'n': 9, 'trace_an': 0}
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id: 183476009
{'hecke_orbit_code': 27021872709239189, 'n': 10, 'trace_an': 10}
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id: 183476010
{'hecke_orbit_code': 27021872709239189, 'n': 11, 'trace_an': -52}
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id: 183476011
{'hecke_orbit_code': 27021872709239189, 'n': 12, 'trace_an': 0}
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id: 183476012
{'hecke_orbit_code': 27021872709239189, 'n': 13, 'trace_an': -22}
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id: 183476013
{'hecke_orbit_code': 27021872709239189, 'n': 14, 'trace_an': 24}
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id: 183476014
{'hecke_orbit_code': 27021872709239189, 'n': 15, 'trace_an': 0}
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id: 183476015
{'hecke_orbit_code': 27021872709239189, 'n': 16, 'trace_an': -41}
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id: 183476016
{'hecke_orbit_code': 27021872709239189, 'n': 17, 'trace_an': -28}
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id: 183476017
{'hecke_orbit_code': 27021872709239189, 'n': 18, 'trace_an': 0}
-
id: 183476018
{'hecke_orbit_code': 27021872709239189, 'n': 19, 'trace_an': -40}
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id: 183476019
{'hecke_orbit_code': 27021872709239189, 'n': 20, 'trace_an': 35}
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id: 183476020
{'hecke_orbit_code': 27021872709239189, 'n': 21, 'trace_an': 0}
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id: 183476021
{'hecke_orbit_code': 27021872709239189, 'n': 22, 'trace_an': -52}
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id: 183476022
{'hecke_orbit_code': 27021872709239189, 'n': 23, 'trace_an': 168}
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id: 183476023
{'hecke_orbit_code': 27021872709239189, 'n': 24, 'trace_an': 0}
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id: 183476024
{'hecke_orbit_code': 27021872709239189, 'n': 25, 'trace_an': -25}
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id: 183476025
{'hecke_orbit_code': 27021872709239189, 'n': 26, 'trace_an': 44}
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