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mf_newforms • Show schema
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{'Nk2': 3300, 'analytic_conductor': 6.587658166755632, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 15, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': 1, 'char_values': [825, 4, [551, 727, 376], [2, 3, 4]], 'cm_discs': [], 'conrey_index': 518, 'conrey_indexes': [518, 782], 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, -4, 8, -4, 1]], [7, [16, 32, 32, 8, 1]], [13, [16, 32, 32, 8, 1]], [29, [28, -12, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022284992545593, '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, 15, 5, 1, 4, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '825.2.k.g', 'level': 825, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 'level_radical': 165, 'minimal_twist': '825.2.k.a', 'nf_label': '4.0.256.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(1-\\zeta_{8}^{2}-\\zeta_{8}^{3})q^{2}+(1+\\zeta_{8}^{2}-\\zeta_{8}^{3})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '825.2.k', 'trace_display': [4, 4, 0, -8], 'trace_hash': 419085493950908474, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.060', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.057', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.749', 'prec': 17}, {'__RealLiteral__': 0, 'data': '57.277', 'prec': 20}, 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mf_hecke_cc • Show schema
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'conrey_index': 518, 'dual_conrey_index': 782, 'dual_embedding_index': 1, 'dual_embedding_m': 3, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.7071067811865476, 'embedding_root_real': -0.7071067811865476, 'hecke_orbit': 7, 'hecke_orbit_code': 27022284992545593, 'label': '825.2.k.g.518.1', 'level': 825, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3300, 'analytic_conductor': 6.587658166755632, 'char_conductor': 15, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': 1, 'char_values': [825, 4, [551, 727, 376], [2, 3, 4]], 'conrey_index': 518, 'cusp_dim': 216, 'dim': 120, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 13, 29], 'hecke_orbit_code': 687228322617, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 16, 16, 28, 28], 'label': '825.2.k', 'level': 825, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 'level_radical': 165, 'mf_dim': 264, 'mf_new_dim': 120, 'num_forms': 12, 'prim_orbit_index': 5, 'relative_dim': 60, 'sturm_bound': 240, 'trace_bound': 14, 'trace_display': [0, 2, 0, 0], 'traces': [120, 0, 2, 0, 0, 16, 0, 0, 0, 0, 0, -8, 16, 0, 0, -136, 0, 12, 0, 0, 32, 0, 0, 0, 0, 0, -4, -32, 0, 0, 24, 0, -2, 0, 0, -48, 36, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 4, 0, 0, -32, -88, 0, 0, 0, 0, -40, -8, 0, 0, 40, 0, -4, 0, 0, 0, 28, 0, 0, 0, 0, -48, 0, 0, 0, -32, 0, 40, 0, 0, 164, -8, 0, 0, 0, 0, -16, 24, 0, 0, -24, 0, -58, 0, 0, -256, -76, 0, 0, 0, 0, 0, 40, 0, 0, -176, 0, -108, 0, 0, 60, 136, 0, 0, 0, 0, 16, -32, 0, 0, -120, 0, -32, 0, 0, -144, 56, 0, 0, 0, 0, 8, -80, 0, 0, 16, 0, 100, 0, 0, -52, 96, 0, 0, 0, 0, -46, 152, 0, 0, 248, 0, 92, 0, 0, 504, -68, 0, 0, 0, 0, 204, 88, 0, 0, 112, 0, 32, 0, 0, -16, -144, 0, 0, 0, 0, -30, 32, 0, 0, -280, 0, 32, 0, 0, 120, -16, 0, 0, 0, 0, 20, -112, 0, 0, 392, 0, -60, 0, 0, -156, 8, 0, 0, 0, 0, 158, -128, 0, 0, -40, 0, -66, 0, 0, -408, -136, 0, 0, 0, 0, -180, -68, 0, 0, 16, 0, -32, 0, 0, -48, 184, 0, 0, 0, 0, -60, -8, 0, 0, -360, 0, 102, 0, 0, 144, -64, 0, 0, 0, 0, -296, 36, 0, 0, 392, 0, -176, 0, 0, -208, -240, 0, 0, 0, 0, 90, -96, 0, 0, 128, 0, -88, 0, 0, 376, 232, 0, 0, 0, 0, 40, 56, 0, 0, 32, 0, 48, 0, 0, 128, 72, 0, 0, 0, 0, 44, -8, 0, 0, 120, 0, 92, 0, 0, -8, 184, 0, 0, 0, 0, -32, 140, 0, 0, 400, 0, 104, 0, 0, 224, 112, 0, 0, 0, 0, 196, 168, 0, 0, -288, 0, 66, 0, 0, -200, 24, 0, 0, 0, 0, -176, -144, 0, 0, -352, 0, 144, 0, 0, -144, -48, 0, 0, 0, 0, 48, -120, 0, 0, 192, 0, -2, 0, 0, -56, 28, 0, 0, 0, 0, 340, -280, 0, 0, -416, 0, 40, 0, 0, 136, -328, 0, 0, 0, 0, -212, 72, 0, 0, -544, 0, -92, 0, 0, 80, 88, 0, 0, 0, 0, -84, 64, 0, 0, -576, 0, 80, 0, 0, -148, -216, 0, 0, 0, 0, -220, 64, 0, 0, 240, 0, -136, 0, 0, -408, -224, 0, 0, 0, 0, 132, 220, 0, 0, -176, 0, -296, 0, 0, -120, 8, 0, 0, 0, 0, -52, 192, 0, 0, 32, 0, -4, 0, 0, 360, 0, 0, 0, 0, 0, 56, -140, 0, 0, 64, 0, 120, 0, 0, -352, 520, 0, 0, 0, 0, -60, 128, 0, 0, 432, 0, 204, 0, 0, 144, -140, 0, 0, 0, 0, 432, 256, 0, 0, -272, 0, -168, 0, 0, -8, 48, 0, 0, 0, 0, -254, -80, 0, 0, 352, 0, -144, 0, 0, 600, -120, 0, 0, 0, 0, 136, 40, 0, 0, 768, 0, -92, 0, 0, -212, 192, 0, 0, 0, 0, 370, 80, 0, 0, -40, 0, -86, 0, 0, -544, -328, 0, 0, 0, 0, -232, -208, 0, 0, 384, 0, -20, 0, 0, -144, 104, 0, 0, 0, 0, -108, -328, 0, 0, 8, 0, 94, 0, 0, 296, -44, 0, 0, 0, 0, -468, -16, 0, 0, -512, 0, -176, 0, 0, 224, -432, 0, 0, 0, 0, 172, -176, 0, 0, -248, 0, -182, 0, 0, -232, 208, 0, 0, 0, 0, 8, 208, 0, 0, 256, 0, 264, 0, 0, 364, 440, 0, 0, 0, 0, 56, -440, 0, 0, -64, 0, 184, 0, 0, -312, 240, 0, 0, 0, 0, -40, 140, 0, 0, 912, 0, 240, 0, 0, 48, -232, 0, 0, 0, 0, 176, 368, 0, 0, -24, 0, 184, 0, 0, 1056, 48, 0, 0, 0, 0, -344, 88, 0, 0, 696, 0, 148, 0, 0, 320, -32, 0, 0, 0, 0, 142, -360, 0, 0, 56, 0, -12, 0, 0, -200, -32, 0, 0, 0, 0, 408, -464, 0, 0, -1088, 0, 236, 0, 0, 712, -392, 0, 0, 0, 0, -180, 272, 0, 0, -560, 0, -304, 0, 0, -16, 412, 0, 0, 0, 0, -304, 352, 0, 0, -352, 0, 72, 0, 0, 32, 16, 0, 0, 0, 0, -148, 112, 0, 0, 8, 0, -38, 0, 0, -968, -440, 0, 0, 0, 0, -136, -240, 0, 0, 1216, 0, -388, 0, 0, 500, 280, 0, 0, 0, 0, 44, 232, 0, 0, 96, 0, 96, 0, 0, -776, 216, 0, 0, 0, 0, 120, 96, 0, 0, -1264, 0, 120, 0, 0, -560, 520, 0, 0, 0, 0, -188, 120, 0, 0, 136, 0, 328, 0, 0, -480, -192, 0, 0, 0, 0, 436, 180, 0, 0, -1456, 0, -252, 0, 0, -616, -280, 0, 0, 0, 0, -68, -592, 0, 0, 456, 0, -244, 0, 0, 336, 0, 0, 0, 0, 0, 388, -136, 0, 0, 112, 0, -88, 0, 0, -80, -176, 0, 0, 0, 0, 370, -144, 0, 0, 104, 0, -58, 0, 0, 800, 16, 0, 0, 0, 0, -100, -72, 0, 0, 720, 0, -432, 0, 0, -128, 448, 0, 0, 0, 0, -296, -192, 0, 0, 352, 0, 256, 0, 0, -704, -344, 0, 0, 0, 0, -488, 0, 0, 0, -464, 0, 24, 0, 0, -424, -584, 0, 0, 0, 0, 84, 344, 0, 0, 320, 0, -164, 0, 0, 728, 128, 0, 0, 0, 0, 236, 304, 0, 0, -48, 0, 328, 0, 0, -656, 8, 0, 0, 0, 0, 120, -64, 0, 0, -8, 0, 100, 0, 0, -856, 200, 0, 0, 0, 0, -32, -32, 0, 0, -992, 0, -24, 0, 0, 384, 192, 0, 0, 0, 0, 248, 448, 0, 0, -296, 0, 122, 0, 0, 416, 248, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45876459
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 518, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022284992545593, 'source_is_minimal': True, 'source_label': '825.2.k.g.518.1', 'source_level': 825, 'target_conrey_index': 518, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022284992545593, 'target_is_minimal': True, 'target_label': '825.2.k.g.518.1', 'target_level': 825, 'twist_class_label': '825.2.k.a.518.2', 'twist_class_level': 825, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45876460
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 518, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022284992545593, 'source_is_minimal': True, 'source_label': '825.2.k.g.518.1', 'source_level': 825, 'target_conrey_index': 518, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 687228322617, 'target_is_minimal': True, 'target_label': '825.2.k.a.518.2', 'target_level': 825, 'twist_class_label': '825.2.k.a.518.2', 'twist_class_level': 825, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45876461
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 518, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022284992545593, 'source_is_minimal': True, 'source_label': '825.2.k.g.518.1', 'source_level': 825, 'target_conrey_index': 782, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 687228322617, 'target_is_minimal': True, 'target_label': '825.2.k.a.782.2', 'target_level': 825, 'twist_class_label': '825.2.k.a.518.2', 'twist_class_level': 825, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45876462
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 518, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022284992545593, 'source_is_minimal': True, 'source_label': '825.2.k.g.518.1', 'source_level': 825, 'target_conrey_index': 782, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525884619916089, 'target_is_minimal': True, 'target_label': '825.2.k.h.782.1', 'target_level': 825, 'twist_class_label': '825.2.k.a.518.2', 'twist_class_level': 825, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45876463
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 518, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022284992545593, 'source_is_minimal': True, 'source_label': '825.2.k.g.518.1', 'source_level': 825, 'target_conrey_index': 518, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504286855693113, 'target_is_minimal': True, 'target_label': '825.2.k.b.518.2', 'target_level': 825, 'twist_class_label': '825.2.k.a.518.2', 'twist_class_level': 825, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45876464
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 518, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022284992545593, 'source_is_minimal': True, 'source_label': '825.2.k.g.518.1', 'source_level': 825, 'target_conrey_index': 782, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022284992545593, 'target_is_minimal': True, 'target_label': '825.2.k.g.782.1', 'target_level': 825, 'twist_class_label': '825.2.k.a.518.2', 'twist_class_level': 825, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45876465
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 518, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022284992545593, 'source_is_minimal': True, 'source_label': '825.2.k.g.518.1', 'source_level': 825, 'target_conrey_index': 782, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504286855693113, 'target_is_minimal': True, 'target_label': '825.2.k.b.782.2', 'target_level': 825, 'twist_class_label': '825.2.k.a.518.2', 'twist_class_level': 825, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 45876466
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 518, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022284992545593, 'source_is_minimal': True, 'source_label': '825.2.k.g.518.1', 'source_level': 825, 'target_conrey_index': 518, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525884619916089, 'target_is_minimal': True, 'target_label': '825.2.k.h.518.1', 'target_level': 825, 'twist_class_label': '825.2.k.a.518.2', 'twist_class_level': 825, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1376125
{'charpoly_factorization': [[[1, -4, 8, -4, 1], 1]], 'hecke_orbit_code': 27022284992545593, 'p': 2}
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id: 1376126
{'charpoly_factorization': [[[9, -12, 8, -4, 1], 1]], 'hecke_orbit_code': 27022284992545593, 'p': 3}
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id: 1376127
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022284992545593, 'p': 5}
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id: 1376128
{'charpoly_factorization': [[[16, 32, 32, 8, 1], 1]], 'hecke_orbit_code': 27022284992545593, 'p': 7}
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id: 1376129
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 27022284992545593, 'p': 11}
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id: 1376130
{'charpoly_factorization': [[[16, 32, 32, 8, 1], 1]], 'hecke_orbit_code': 27022284992545593, 'p': 13}
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id: 1376131
{'charpoly_factorization': [[[8, 4, 1], 2]], 'hecke_orbit_code': 27022284992545593, 'p': 17}
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id: 1376132
{'charpoly_factorization': [[[16, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 27022284992545593, 'p': 19}
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id: 1376133
{'charpoly_factorization': [[[64, 64, 32, -8, 1], 1]], 'hecke_orbit_code': 27022284992545593, 'p': 23}
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id: 1376134
{'charpoly_factorization': [[[28, -12, 1], 2]], 'hecke_orbit_code': 27022284992545593, 'p': 29}
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id: 1376135
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 27022284992545593, 'p': 31}
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id: 1376136
{'charpoly_factorization': [[[4096, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022284992545593, 'p': 37}
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id: 1376137
{'charpoly_factorization': [[[16, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 27022284992545593, 'p': 41}
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id: 1376138
{'charpoly_factorization': [[[4624, 1632, 288, 24, 1], 1]], 'hecke_orbit_code': 27022284992545593, 'p': 43}
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id: 1376139
{'charpoly_factorization': [[[64, -64, 32, 8, 1], 1]], 'hecke_orbit_code': 27022284992545593, 'p': 47}
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id: 1376140
{'charpoly_factorization': [[[20736, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022284992545593, 'p': 53}
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id: 1376141
{'charpoly_factorization': [[[32, -16, 1], 2]], 'hecke_orbit_code': 27022284992545593, 'p': 59}
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id: 1376142
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 27022284992545593, 'p': 61}
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id: 1376143
{'charpoly_factorization': [[[784, -448, 128, -16, 1], 1]], 'hecke_orbit_code': 27022284992545593, 'p': 67}
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id: 1376144
{'charpoly_factorization': [[[256, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 27022284992545593, 'p': 71}
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id: 1376145
{'charpoly_factorization': [[[4624, 1632, 288, 24, 1], 1]], 'hecke_orbit_code': 27022284992545593, 'p': 73}
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id: 1376146
{'charpoly_factorization': [[[16, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 27022284992545593, 'p': 79}
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id: 1376147
{'charpoly_factorization': [[[1296, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022284992545593, 'p': 83}
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id: 1376148
{'charpoly_factorization': [[[-112, -8, 1], 2]], 'hecke_orbit_code': 27022284992545593, 'p': 89}
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id: 1376149
{'charpoly_factorization': [[[1024, -512, 128, 16, 1], 1]], 'hecke_orbit_code': 27022284992545593, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 11, 'hecke_orbit': 7, 'label': '825.2.k.g', 'level': 825, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 184321000
{'hecke_orbit_code': 27022284992545593, 'n': 1, 'trace_an': 4}
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id: 184321001
{'hecke_orbit_code': 27022284992545593, 'n': 2, 'trace_an': 4}
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id: 184321002
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{'hecke_orbit_code': 27022284992545593, 'n': 984, 'trace_an': -32}
-
id: 184321984
{'hecke_orbit_code': 27022284992545593, 'n': 985, 'trace_an': 0}
-
id: 184321985
{'hecke_orbit_code': 27022284992545593, 'n': 986, 'trace_an': 0}
-
id: 184321986
{'hecke_orbit_code': 27022284992545593, 'n': 987, 'trace_an': -16}
-
id: 184321987
{'hecke_orbit_code': 27022284992545593, 'n': 988, 'trace_an': 32}
-
id: 184321988
{'hecke_orbit_code': 27022284992545593, 'n': 989, 'trace_an': -128}
-
id: 184321989
{'hecke_orbit_code': 27022284992545593, 'n': 990, 'trace_an': 0}
-
id: 184321990
{'hecke_orbit_code': 27022284992545593, 'n': 991, 'trace_an': -16}
-
id: 184321991
{'hecke_orbit_code': 27022284992545593, 'n': 992, 'trace_an': -16}
-
id: 184321992
{'hecke_orbit_code': 27022284992545593, 'n': 993, 'trace_an': -32}
-
id: 184321993
{'hecke_orbit_code': 27022284992545593, 'n': 994, 'trace_an': 0}
-
id: 184321994
{'hecke_orbit_code': 27022284992545593, 'n': 995, 'trace_an': 0}
-
id: 184321995
{'hecke_orbit_code': 27022284992545593, 'n': 996, 'trace_an': 96}
-
id: 184321996
{'hecke_orbit_code': 27022284992545593, 'n': 997, 'trace_an': -24}
-
id: 184321997
{'hecke_orbit_code': 27022284992545593, 'n': 998, 'trace_an': 48}
-
id: 184321998
{'hecke_orbit_code': 27022284992545593, 'n': 999, 'trace_an': 0}
-
id: 184321999
{'hecke_orbit_code': 27022284992545593, 'n': 1000, 'trace_an': 0}