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mf_newforms • Show schema
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{'Nk2': 8960, 'analytic_conductor': 33.041069603214744, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [560, 3, [351, 421, 337, 241], [3, 3, 3, 2]], 'cm_discs': [], 'conrey_index': 81, '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': [[3, [4, 2, 1]], [11, [2025, 45, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504699206107696, 'hecke_ring_generator_nbound': 5, '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, 7, 3, 1, 3, 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': '560.4.q.b', 'level': 560, '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': [2, 5, 7], 'level_radical': 70, 'minimal_twist': '35.4.e.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-2+2\\zeta_{6})q^{3}-5\\zeta_{6}q^{5}+(7+14\\zeta_{6})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '560.4.q', 'trace_display': [0, -2, -5, 28], 'trace_hash': 1480157426176351160, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.033', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.138', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.399', 'prec': 20}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [-2, 2], [0, 0], [0, -5], [0, 0], [7, 14], [0, 0], [0, 23], [0, 0], [-45, 45], [0, 0], [59, 0], [0, 0], [10, 0], [0, 0], [54, -54], [0, 0], [0, -121], [0, 0], [-42, 14], [0, 0], [0, 69], [0, 0], [-25, 25], [0, 0], [-100, 0], [0, 0], [-162, 0], [0, 0], [-88, 88], [0, 0], [0, -90], [0, 0], [70, -105], [0, 0], [0, 259], [0, 0], [-118, 118], [0, 0], [195, 0], [0, 0], [286, 0], [0, 0], [115, -115], [0, 0], [0, 45], [0, 0], [-147, 392], [0, 0], [0, 108], [0, 0], [-597, 597], [0, 0], [225, 0], [0, 0], [242, 0], [0, 0], [-360, 360], [0, 0], [0, -392], [0, 0], [-322, 483], [0, 0], [0, -295], [0, 0], [-280, 280], [0, 0], [-138, 0], [0, 0], [-48, 0], [0, 0], [-668, 668], [0, 0], [0, -50], [0, 0], [-945, 315], [0, 0], [0, 782], [0, 0], [-421, 421], [0, 0], [-768, 0], [0, 0], [-270, 0], [0, 0], [324, -324], [0, 0], [0, 1194], [0, 0], [413, 826], [0, 0], [0, -176], [0, 0], [-605, 605], [0, 0], [902, 0], [0, 0], [-1035, 0], [0, 0]], 'ap': [[0, 0], [-2, 2], [0, -5], [7, 14], [-45, 45], [59, 0], [54, -54], [0, -121], [0, 69], [-162, 0], [-88, 88], [0, 259], [195, 0], [286, 0], [0, 45], [-597, 597], [-360, 360], [0, -392], [-280, 280], [-48, 0], [-668, 668], [0, 782], [-768, 0], [0, 1194], [902, 0], [-684, 684], [0, -1516], [0, -732], [1600, -1600], [-1392, 0], [-803, 0], [0, 2019], [-60, 60], [1708, 0], [0, 1086], [-2866, 2866], [229, -229], [0, -1228], [1929, 0], [0, 699], [3117, -3117], [-1798, 0], [0, -2388], [-272, 272], [-2109, 0], [1424, -1424], [3625, 0], [4960, 0], [-1500, 1500], [0, -6092], [0, -138], [5502, 0], [-3551, 3551], [-7065, 0], [0, 4080], [-3288, 3288], [3264, -3264], [0, -2752], [4690, -4690], [7821, 0], [-658, 658], [-5997, 0], [6226, 0], [4680, -4680], [0, -1028], [0, -8622], [0, -1999], [5114, 0], [4320, -4320], [7922, 0], [-828, 828], [0, -1350], [2801, -2801], [0, -6602], [8305, 0], [0, 945], [-12036, 12036], [0, 2698], [0, -7053], [10870, -10870], [9729, 0], [-12550, 0], [2988, -2988], [16616, 0], [0, 7346], [0, 12], [9669, 0], [0, 9634], [-342, 0], [-2411, 0], [0, -1206], [-432, 432], [-11896, 11896], [12276, 0], [0, -10876], [-12000, 0], [0, 11682], [-9609, 9609], [0, 21188], [0, -8072], [-344, 0], [-18363, 18363], [-6294, 6294], [0, -11733], [1052, -1052], [13156, -13156], [13368, 0], [0, -26664], [7614, -7614], [6410, 0], [0, -21469], [-3737, 3737], [18078, 0], [12287, -12287], [9580, 0], [-10779, 10779], [-8882, 0], [-11019, 11019], [0, -22323], [11856, 0], [33244, -33244], [-12322, 0], [0, 12597], [-8340, 8340], [0, -20200], [474, 0], [0, 25126], [0, -7296], [15421, 0], [0, 29167], [-13381, 13381], [-5487, 0], [0, 6638], [14846, 0], [0, 3651], [29855, 0], [6519, -6519], [35114, -35114], [20910, 0], [-4431, 4431], [9577, 0], [0, 10938], [11540, -11540], [18762, 0], [39610, -39610], [-39162, 0], [-11527, 0], [41826, -41826], [0, 35192], [0, -9063], [0, -28439], [-9303, 0], [14728, 0], [0, -17016], [-24922, 24922], [-30714, 0], [0, 17426], [0, -26649], [27686, 0], [17808, -17808], [0, -6906], [-20940, 0], [-9176, 0], [0, 29763], [38490, -38490], [-12609, 12609], [19820, -19820], [-46034, 46034]], 'char_orbit_index': 17, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 4504699206107696, 'hecke_ring_character_values': [[351, [1, 0]], [421, [1, 0]], [337, [1, 0]], [241, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '560.4.q.b', 'level': 560, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 8960, 'analytic_conductor': 33.041069603214744, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [560, 3, [351, 421, 337, 241], [3, 3, 3, 2]], 'conrey_index': 81, 'cusp_dim': 552, 'dim': 96, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11], 'hecke_orbit_code': 1099578737200, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 10, 10, 12, 12, 12], 'label': '560.4.q', 'level': 560, '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': [2, 5, 7], 'level_radical': 70, 'mf_dim': 600, 'mf_new_dim': 96, 'num_forms': 18, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 384, 'trace_bound': 7, 'trace_display': [0, 12, 0, -36], 'traces': [96, 0, 12, 0, 0, 0, -36, 0, -432, 0, 20, 0, 0, 0, 0, 0, 0, 0, 180, 0, -68, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 384955
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.4.q.b', 'source_level': 560, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '35.4.e.a', 'target_level': 35, 'twist_class_label': '35.4.e.a', 'twist_class_level': 35, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 384956
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.4.q.b', 'source_level': 560, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '35.4.e.a', 'target_level': 35, 'twist_class_label': '35.4.e.a', 'twist_class_level': 35, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 384957
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.4.q.b', 'source_level': 560, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '175.4.e.b', 'target_level': 175, 'twist_class_label': '35.4.e.a', 'twist_class_level': 35, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 384958
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.4.q.b', 'source_level': 560, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '175.4.e.b', 'target_level': 175, 'twist_class_label': '35.4.e.a', 'twist_class_level': 35, 'twisting_char_label': '140.p', 'twisting_char_orbit': 16, 'weight': 4}
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id: 384959
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.4.q.b', 'source_level': 560, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '175.4.k.b', 'target_level': 175, 'twist_class_label': '35.4.e.a', 'twist_class_level': 35, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 384960
{'conductor': 140, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.4.q.b', 'source_level': 560, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '175.4.k.b', 'target_level': 175, 'twist_class_label': '35.4.e.a', 'twist_class_level': 35, 'twisting_char_label': '140.w', 'twisting_char_orbit': 23, 'weight': 4}
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id: 384961
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.4.q.b', 'source_level': 560, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '245.4.a.e', 'target_level': 245, 'twist_class_label': '35.4.e.a', 'twist_class_level': 35, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 384962
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.4.q.b', 'source_level': 560, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '245.4.a.f', 'target_level': 245, 'twist_class_label': '35.4.e.a', 'twist_class_level': 35, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 384963
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.4.q.b', 'source_level': 560, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '245.4.e.a', 'target_level': 245, 'twist_class_label': '35.4.e.a', 'twist_class_level': 35, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 384964
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.4.q.b', 'source_level': 560, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '245.4.e.a', 'target_level': 245, 'twist_class_label': '35.4.e.a', 'twist_class_level': 35, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 384965
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.4.q.b', 'source_level': 560, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '315.4.j.b', 'target_level': 315, 'twist_class_label': '35.4.e.a', 'twist_class_level': 35, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 384966
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.4.q.b', 'source_level': 560, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '315.4.j.b', 'target_level': 315, 'twist_class_label': '35.4.e.a', 'twist_class_level': 35, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 4}
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id: 384967
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.4.q.b', 'source_level': 560, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '560.4.q.b', 'target_level': 560, 'twist_class_label': '35.4.e.a', 'twist_class_level': 35, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 384968
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.4.q.b', 'source_level': 560, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '560.4.q.b', 'target_level': 560, 'twist_class_label': '35.4.e.a', 'twist_class_level': 35, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 384969
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.4.q.b', 'source_level': 560, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1225.4.a.a', 'target_level': 1225, 'twist_class_label': '35.4.e.a', 'twist_class_level': 35, 'twisting_char_label': '140.s', 'twisting_char_orbit': 19, 'weight': 4}
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id: 384970
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.4.q.b', 'source_level': 560, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1225.4.a.b', 'target_level': 1225, 'twist_class_label': '35.4.e.a', 'twist_class_level': 35, 'twisting_char_label': '140.p', 'twisting_char_orbit': 16, 'weight': 4}
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id: 384971
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.4.q.b', 'source_level': 560, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2205.4.a.e', 'target_level': 2205, 'twist_class_label': '35.4.e.a', 'twist_class_level': 35, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 4}
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id: 384972
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.4.q.b', 'source_level': 560, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2205.4.a.g', 'target_level': 2205, 'twist_class_label': '35.4.e.a', 'twist_class_level': 35, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1050300
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504699206107696, 'p': 2}
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id: 1050301
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 4504699206107696, 'p': 3}
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id: 1050302
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 4504699206107696, 'p': 5}
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id: 1050303
{'charpoly_factorization': [[[343, -28, 1], 1]], 'hecke_orbit_code': 4504699206107696, 'p': 7}
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id: 1050304
{'charpoly_factorization': [[[2025, 45, 1], 1]], 'hecke_orbit_code': 4504699206107696, 'p': 11}
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id: 1050305
{'charpoly_factorization': [[[-59, 1], 2]], 'hecke_orbit_code': 4504699206107696, 'p': 13}
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id: 1050306
{'charpoly_factorization': [[[2916, -54, 1], 1]], 'hecke_orbit_code': 4504699206107696, 'p': 17}
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id: 1050307
{'charpoly_factorization': [[[14641, 121, 1], 1]], 'hecke_orbit_code': 4504699206107696, 'p': 19}
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id: 1050308
{'charpoly_factorization': [[[4761, -69, 1], 1]], 'hecke_orbit_code': 4504699206107696, 'p': 23}
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id: 1050309
{'charpoly_factorization': [[[162, 1], 2]], 'hecke_orbit_code': 4504699206107696, 'p': 29}
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id: 1050310
{'charpoly_factorization': [[[7744, 88, 1], 1]], 'hecke_orbit_code': 4504699206107696, 'p': 31}
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id: 1050311
{'charpoly_factorization': [[[67081, -259, 1], 1]], 'hecke_orbit_code': 4504699206107696, 'p': 37}
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id: 1050312
{'charpoly_factorization': [[[-195, 1], 2]], 'hecke_orbit_code': 4504699206107696, 'p': 41}
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id: 1050313
{'charpoly_factorization': [[[-286, 1], 2]], 'hecke_orbit_code': 4504699206107696, 'p': 43}
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id: 1050314
{'charpoly_factorization': [[[2025, -45, 1], 1]], 'hecke_orbit_code': 4504699206107696, 'p': 47}
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id: 1050315
{'charpoly_factorization': [[[356409, 597, 1], 1]], 'hecke_orbit_code': 4504699206107696, 'p': 53}
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id: 1050316
{'charpoly_factorization': [[[129600, 360, 1], 1]], 'hecke_orbit_code': 4504699206107696, 'p': 59}
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id: 1050317
{'charpoly_factorization': [[[153664, 392, 1], 1]], 'hecke_orbit_code': 4504699206107696, 'p': 61}
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id: 1050318
{'charpoly_factorization': [[[78400, 280, 1], 1]], 'hecke_orbit_code': 4504699206107696, 'p': 67}
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id: 1050319
{'charpoly_factorization': [[[48, 1], 2]], 'hecke_orbit_code': 4504699206107696, 'p': 71}
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id: 1050320
{'charpoly_factorization': [[[446224, 668, 1], 1]], 'hecke_orbit_code': 4504699206107696, 'p': 73}
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id: 1050321
{'charpoly_factorization': [[[611524, -782, 1], 1]], 'hecke_orbit_code': 4504699206107696, 'p': 79}
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id: 1050322
{'charpoly_factorization': [[[768, 1], 2]], 'hecke_orbit_code': 4504699206107696, 'p': 83}
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id: 1050323
{'charpoly_factorization': [[[1425636, -1194, 1], 1]], 'hecke_orbit_code': 4504699206107696, 'p': 89}
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id: 1050324
{'charpoly_factorization': [[[-902, 1], 2]], 'hecke_orbit_code': 4504699206107696, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 17, 'hecke_orbit': 2, 'label': '560.4.q.b', 'level': 560, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 24497851
{'hecke_orbit_code': 4504699206107696, 'n': 1, 'trace_an': 2}
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id: 24497852
{'hecke_orbit_code': 4504699206107696, 'n': 2, 'trace_an': 0}
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id: 24497853
{'hecke_orbit_code': 4504699206107696, 'n': 3, 'trace_an': -2}
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id: 24497854
{'hecke_orbit_code': 4504699206107696, 'n': 4, 'trace_an': 0}
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id: 24497855
{'hecke_orbit_code': 4504699206107696, 'n': 5, 'trace_an': -5}
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id: 24497856
{'hecke_orbit_code': 4504699206107696, 'n': 6, 'trace_an': 0}
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id: 24497857
{'hecke_orbit_code': 4504699206107696, 'n': 7, 'trace_an': 28}
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id: 24497858
{'hecke_orbit_code': 4504699206107696, 'n': 8, 'trace_an': 0}
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id: 24497859
{'hecke_orbit_code': 4504699206107696, 'n': 9, 'trace_an': 23}
-
id: 24497860
{'hecke_orbit_code': 4504699206107696, 'n': 10, 'trace_an': 0}
-
id: 24497861
{'hecke_orbit_code': 4504699206107696, 'n': 11, 'trace_an': -45}
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id: 24497862
{'hecke_orbit_code': 4504699206107696, 'n': 12, 'trace_an': 0}
-
id: 24497863
{'hecke_orbit_code': 4504699206107696, 'n': 13, 'trace_an': 118}
-
id: 24497864
{'hecke_orbit_code': 4504699206107696, 'n': 14, 'trace_an': 0}
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id: 24497865
{'hecke_orbit_code': 4504699206107696, 'n': 15, 'trace_an': 20}
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id: 24497866
{'hecke_orbit_code': 4504699206107696, 'n': 16, 'trace_an': 0}
-
id: 24497867
{'hecke_orbit_code': 4504699206107696, 'n': 17, 'trace_an': 54}
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id: 24497868
{'hecke_orbit_code': 4504699206107696, 'n': 18, 'trace_an': 0}
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id: 24497869
{'hecke_orbit_code': 4504699206107696, 'n': 19, 'trace_an': -121}
-
id: 24497870
{'hecke_orbit_code': 4504699206107696, 'n': 20, 'trace_an': 0}
-
id: 24497871
{'hecke_orbit_code': 4504699206107696, 'n': 21, 'trace_an': -70}
-
id: 24497872
{'hecke_orbit_code': 4504699206107696, 'n': 22, 'trace_an': 0}
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