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mf_newforms • Show schema
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{'Nk2': 8400, 'analytic_conductor': 30.976002753013823, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [525, 2, [176, 127, 451], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 274, '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, [16, 0, 1]], [11, [-62, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503805852910093, 'hecke_ring_generator_nbound': 3, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '525.4.d.b', 'level': 525, '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': [3, 5, 7], 'level_radical': 105, 'minimal_twist': '21.4.a.b', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+4 i q^{2}+3 i q^{3}-8 q^{4}-12 q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '525.4.d', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1196851166849070416, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.028', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.057', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.275', 'prec': 17}, {'__RealLiteral__': 0, 'data': '17.022', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2.779', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 4], [0, 3], [-8, 0], [0, 0], [-12, 0], [0, -7], [0, 0], [-9, 0], [0, 0], [62, 0], [0, -24], [0, 62], [28, 0], [0, 0], [-64, 0], [0, 84], [0, -36], [-100, 0], [0, 0], [21, 0], [0, 248], [0, 42], [0, 0], [0, 0], [-248, 0], [0, -27], [0, 56], [10, 0], [0, 0], [-48, 0], [0, -256], [0, 186], [-336, 0], [0, 0], [72, 0], [0, -246], [0, -400], [-186, 0], [0, 0], [-248, 0], [0, 84], [0, -68], [-496, 0], [0, 0], [-168, 0], [0, 324], [0, -192], [-49, 0], [0, 0], [-252, 0], [0, -496], [0, -258], [108, 0], [0, 0], [0, 0], [0, -300], [0, 40], [-120, 0], [0, 0], [622, 0], [0, -192], [0, 63], [512, 0], [0, 0], [-744, 0], [0, 904], [0, -672], [-126, 0], [0, 0], [-678, 0], [0, 0], [0, 642], [984, 0], [0, 0], [800, 0], [0, -434], [0, -744], [-740, 0], [0, 0], [81, 0], [0, -992], [0, -468], [-168, 0], [0, 0], [272, 0], [0, 30], [0, 0], [-200, 0], [0, 0], [434, 0], [0, -336], [0, -144], [-1296, 0], [0, 0], [768, 0], [0, -1266], [0, -196], [-558, 0], [0, 0]], 'ap': [[0, 4], [0, 3], [0, 0], [0, -7], [62, 0], [0, 62], [0, 84], [-100, 0], [0, 42], [10, 0], [-48, 0], [0, -246], [-248, 0], [0, -68], [0, 324], [0, -258], [-120, 0], [622, 0], [0, 904], [-678, 0], [0, 642], [-740, 0], [0, -468], [-200, 0], [0, -1266], [232, 0], [0, 1792], [0, -1906], [90, 0], [0, -458], [0, 804], [812, 0], [0, 414], [1620, 0], [-2370, 0], [-568, 0], [0, -266], [0, 272], [0, -1876], [0, 152], [-610, 0], [1042, 0], [-2038, 0], [0, 2602], [0, 2354], [-1680, 0], [-668, 0], [0, 1832], [0, 4944], [5470, 0], [0, 2802], [1170, 0], [-2338, 0], [2792, 0], [0, 7024], [0, -2438], [6780, 0], [-1928, 0], [0, 5554], [1942, 0], [0, -4828], [0, 6152], [0, 5884], [9132, 0], [0, 9382], [0, 3114], [1532, 0], [0, -4166], [0, -11366], [-9310, 0], [0, 8572], [4790, 0], [0, 5424], [0, -1838], [4260, 0], [0, -9048], [11490, 0], [0, -1866], [13662, 0], [13210, 0], [-6960, 0], [8162, 0], [16602, 0], [0, -7738], [840, 0], [0, -6618], [-3090, 0], [0, 5914], [-15968, 0], [0, 1172], [0, 5304], [-5740, 0], [0, 8944], [-5558, 0], [19820, 0], [0, -1848], [-340, 0], [10212, 0], [0, 9332], [-8998, 0], [0, -3416], [0, -526], [0, 6712], [-4190, 0], [3032, 0], [0, 5434], [0, 464], [0, -11748], [-7650, 0], [-22878, 0], [0, 704], [0, -24958], [0, -8826], [-21220, 0], [-3268, 0], [13062, 0], [0, 28012], [0, 3844], [0, 28482], [9330, 0], [8782, 0], [0, 10562], [0, -26016], [0, -8898], [30572, 0], [-30618, 0], [8130, 0], [27840, 0], [0, 14624], [0, 20862], [13920, 0], [0, -25578], [33472, 0], [0, 25934], [26952, 0], [-23450, 0], [0, -39568], [0, -12356], [0, -21736], [38310, 0], [2132, 0], [5002, 0], [0, 3612], [0, -27666], [-12890, 0], [9340, 0], [0, 33082], [0, 7544], [-8180, 0], [0, -10518], [0, 14134], [6492, 0], [0, -38228], [0, -43076], [0, -32236], [-46518, 0], [-17840, 0], [-7000, 0], [0, 36114], [-4748, 0], [0, 42694], [0, 16742], [0, -9956], [-26388, 0], [0, -786], [0, -51888], [-51928, 0], [0, -386]], 'char_orbit_index': 4, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 4503805852910093, 'hecke_ring_character_values': [[176, [1, 0]], [127, [-1, 0]], [451, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '525.4.d.b', 'level': 525, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 8400, 'analytic_conductor': 30.976002753013823, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [525, 2, [176, 127, 451], [2, 1, 2]], 'conrey_index': 274, 'cusp_dim': 228, 'dim': 56, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11], 'hecke_orbit_code': 206225539597, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 8, 8], 'label': '525.4.d', 'level': 525, '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': [3, 5, 7], 'level_radical': 105, 'mf_dim': 252, 'mf_new_dim': 56, 'num_forms': 15, 'prim_orbit_index': 2, 'relative_dim': 56, 'sturm_bound': 320, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [56, 0, 0, -216, 0, 24, 0, 0, -504, 0, 0, 0, 0, 0, 0, 1016, 0, 0, 96, 0, 84, 0, 0, -648, 0, 184, 0, 0, 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-181584, 0, 0, -64680, 0, -64096, 0, 0, 391536, 0, 196032, 0, 0, -28448, 0, 0, 0, 0, 243408, 0, -126336, 0, 0, 77152, 0, -44048, 0, 0, -86128, 0, 26904, 0, 0, -57168, 0, 134112, 0, 0, 609516, 0, 153616, 0, 0, -37208, 0, 169200, 0, 0, -5712, 0, 138288, 0, 0, 3120, 0, -4704, 0, 0, -495352, 0, -45936, 0, 0, 10944, 0, -540736, 0, 0, -398272, 0, -241148, 0, 0, -18800, 0, -231984, 0, 0, 42264, 0, -499840, 0, 0, 86520, 0, 228160, 0, 0, -287408, 0, -8736, 0, 0, 32496, 0, 242544, 0, 0, -697436, 0, 301032, 0, 0, 55360, 0, 25488, 0, 0, -227520, 0, 230728, 0, 0, 92624, 0, 249896, 0, 0, 43988, 0, 197832, 0, 0, 432, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 368479
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.4.d.b', 'source_level': 525, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '21.4.a.b', 'target_level': 21, 'twist_class_label': '21.4.a.b', 'twist_class_level': 21, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 368480
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.4.d.b', 'source_level': 525, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '63.4.a.a', 'target_level': 63, 'twist_class_label': '21.4.a.b', 'twist_class_level': 21, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 368481
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.4.d.b', 'source_level': 525, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '147.4.a.g', 'target_level': 147, 'twist_class_label': '21.4.a.b', 'twist_class_level': 21, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 368482
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.4.d.b', 'source_level': 525, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '147.4.e.b', 'target_level': 147, 'twist_class_label': '21.4.a.b', 'twist_class_level': 21, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 368483
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.4.d.b', 'source_level': 525, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '147.4.e.c', 'target_level': 147, 'twist_class_label': '21.4.a.b', 'twist_class_level': 21, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 368484
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.4.d.b', 'source_level': 525, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '336.4.a.h', 'target_level': 336, 'twist_class_label': '21.4.a.b', 'twist_class_level': 21, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 368485
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.4.d.b', 'source_level': 525, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '441.4.a.b', 'target_level': 441, 'twist_class_label': '21.4.a.b', 'twist_class_level': 21, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 368486
{'conductor': 105, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.4.d.b', 'source_level': 525, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '441.4.e.m', 'target_level': 441, 'twist_class_label': '21.4.a.b', 'twist_class_level': 21, 'twisting_char_label': '105.x', 'twisting_char_orbit': 24, 'weight': 4}
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id: 368487
{'conductor': 105, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.4.d.b', 'source_level': 525, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '441.4.e.n', 'target_level': 441, 'twist_class_label': '21.4.a.b', 'twist_class_level': 21, 'twisting_char_label': '105.w', 'twisting_char_orbit': 23, 'weight': 4}
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id: 368488
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.4.d.b', 'source_level': 525, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '525.4.a.b', 'target_level': 525, 'twist_class_label': '21.4.a.b', 'twist_class_level': 21, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 368489
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.4.d.b', 'source_level': 525, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '525.4.d.b', 'target_level': 525, 'twist_class_label': '21.4.a.b', 'twist_class_level': 21, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 368490
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.4.d.b', 'source_level': 525, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '525.4.d.b', 'target_level': 525, 'twist_class_label': '21.4.a.b', 'twist_class_level': 21, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 368491
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.4.d.b', 'source_level': 525, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1008.4.a.m', 'target_level': 1008, 'twist_class_label': '21.4.a.b', 'twist_class_level': 21, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 368492
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.4.d.b', 'source_level': 525, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1344.4.a.i', 'target_level': 1344, 'twist_class_label': '21.4.a.b', 'twist_class_level': 21, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 368493
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.4.d.b', 'source_level': 525, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '1344.4.a.w', 'target_level': 1344, 'twist_class_label': '21.4.a.b', 'twist_class_level': 21, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 368494
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.4.d.b', 'source_level': 525, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1575.4.a.k', 'target_level': 1575, 'twist_class_label': '21.4.a.b', 'twist_class_level': 21, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 368495
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.4.d.b', 'source_level': 525, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2352.4.a.l', 'target_level': 2352, 'twist_class_label': '21.4.a.b', 'twist_class_level': 21, 'twisting_char_label': '140.j', 'twisting_char_orbit': 10, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1005275
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 4503805852910093, 'p': 2}
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id: 1005276
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 4503805852910093, 'p': 3}
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id: 1005277
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805852910093, 'p': 5}
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id: 1005278
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 4503805852910093, 'p': 7}
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id: 1005279
{'charpoly_factorization': [[[-62, 1], 2]], 'hecke_orbit_code': 4503805852910093, 'p': 11}
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id: 1005280
{'charpoly_factorization': [[[3844, 0, 1], 1]], 'hecke_orbit_code': 4503805852910093, 'p': 13}
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id: 1005281
{'charpoly_factorization': [[[7056, 0, 1], 1]], 'hecke_orbit_code': 4503805852910093, 'p': 17}
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id: 1005282
{'charpoly_factorization': [[[100, 1], 2]], 'hecke_orbit_code': 4503805852910093, 'p': 19}
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id: 1005283
{'charpoly_factorization': [[[1764, 0, 1], 1]], 'hecke_orbit_code': 4503805852910093, 'p': 23}
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id: 1005284
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 4503805852910093, 'p': 29}
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id: 1005285
{'charpoly_factorization': [[[48, 1], 2]], 'hecke_orbit_code': 4503805852910093, 'p': 31}
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id: 1005286
{'charpoly_factorization': [[[60516, 0, 1], 1]], 'hecke_orbit_code': 4503805852910093, 'p': 37}
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id: 1005287
{'charpoly_factorization': [[[248, 1], 2]], 'hecke_orbit_code': 4503805852910093, 'p': 41}
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id: 1005288
{'charpoly_factorization': [[[4624, 0, 1], 1]], 'hecke_orbit_code': 4503805852910093, 'p': 43}
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id: 1005289
{'charpoly_factorization': [[[104976, 0, 1], 1]], 'hecke_orbit_code': 4503805852910093, 'p': 47}
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id: 1005290
{'charpoly_factorization': [[[66564, 0, 1], 1]], 'hecke_orbit_code': 4503805852910093, 'p': 53}
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id: 1005291
{'charpoly_factorization': [[[120, 1], 2]], 'hecke_orbit_code': 4503805852910093, 'p': 59}
-
id: 1005292
{'charpoly_factorization': [[[-622, 1], 2]], 'hecke_orbit_code': 4503805852910093, 'p': 61}
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id: 1005293
{'charpoly_factorization': [[[817216, 0, 1], 1]], 'hecke_orbit_code': 4503805852910093, 'p': 67}
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id: 1005294
{'charpoly_factorization': [[[678, 1], 2]], 'hecke_orbit_code': 4503805852910093, 'p': 71}
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id: 1005295
{'charpoly_factorization': [[[412164, 0, 1], 1]], 'hecke_orbit_code': 4503805852910093, 'p': 73}
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id: 1005296
{'charpoly_factorization': [[[740, 1], 2]], 'hecke_orbit_code': 4503805852910093, 'p': 79}
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id: 1005297
{'charpoly_factorization': [[[219024, 0, 1], 1]], 'hecke_orbit_code': 4503805852910093, 'p': 83}
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id: 1005298
{'charpoly_factorization': [[[200, 1], 2]], 'hecke_orbit_code': 4503805852910093, 'p': 89}
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id: 1005299
{'charpoly_factorization': [[[1602756, 0, 1], 1]], 'hecke_orbit_code': 4503805852910093, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 2, 'label': '525.4.d.b', 'level': 525, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 21727963
{'hecke_orbit_code': 4503805852910093, 'n': 1, 'trace_an': 2}
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id: 21727964
{'hecke_orbit_code': 4503805852910093, 'n': 2, 'trace_an': 0}
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id: 21727965
{'hecke_orbit_code': 4503805852910093, 'n': 3, 'trace_an': 0}
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id: 21727966
{'hecke_orbit_code': 4503805852910093, 'n': 4, 'trace_an': -16}
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id: 21727967
{'hecke_orbit_code': 4503805852910093, 'n': 5, 'trace_an': 0}
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id: 21727968
{'hecke_orbit_code': 4503805852910093, 'n': 6, 'trace_an': -24}
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id: 21727969
{'hecke_orbit_code': 4503805852910093, 'n': 7, 'trace_an': 0}
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id: 21727970
{'hecke_orbit_code': 4503805852910093, 'n': 8, 'trace_an': 0}
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id: 21727971
{'hecke_orbit_code': 4503805852910093, 'n': 9, 'trace_an': -18}
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id: 21727972
{'hecke_orbit_code': 4503805852910093, 'n': 10, 'trace_an': 0}
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id: 21727973
{'hecke_orbit_code': 4503805852910093, 'n': 11, 'trace_an': 124}
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id: 21727974
{'hecke_orbit_code': 4503805852910093, 'n': 12, 'trace_an': 0}
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