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mf_newforms • Show schema
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{'Nk2': 18400, 'analytic_conductor': 36.731184929788974, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [4600, 2, [1151, 2301, 2577, 1201], [2, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 4049, 'conrey_indexes': [4049], 'dim': 6, 'field_disc': -431642176, 'field_disc_factorization': [[-1, 1], [2, 6], [7, 4], [53, 2]], 'field_poly': [64, 0, 97, 0, 19, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [64, 0, 97, 0, 19, 0, 1]], [7, [1, 0, 68, 0, 20, 0, 1]], [11, [14, 7, -7, 1]], [13, [2500, 0, 629, 0, 47, 0, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67554269322023416, 'hecke_ring_generator_nbound': 7, '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': '4600.2.e.p', 'level': 4600, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 23], 'level_radical': 230, 'minimal_twist': '920.2.a.h', 'nf_label': '6.0.431642176.2', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{1}q^{3}+(\\beta _{1}-\\beta _{2})q^{7}+(-3+\\beta _{3}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4600.2.e', 'trace_display': [0, 0, 0, 0], 'trace_hash': 489736911490064695, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.746', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_cc • Show schema
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{'Nk2': 18400, 'analytic_conductor': 36.731184929788974, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [4600, 2, [1151, 2301, 2577, 1201], [2, 2, 1, 2]], 'conrey_index': 4049, 'cusp_dim': 696, 'dim': 100, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11, 13], 'hecke_orbit_code': 274911465976, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 6, 6, 8, 10, 10, 10], 'label': '4600.2.e', 'level': 4600, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 23], 'level_radical': 230, 'mf_dim': 744, 'mf_new_dim': 100, 'num_forms': 23, 'prim_orbit_index': 2, 'relative_dim': 100, 'sturm_bound': 1440, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [100, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 8, 0, 0, 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0, -112, 0, 360, 0, 0, 0, 0, 0, 0, 0, -468, 0, -28, 0, 0, 0, 0, 0, 0, 0, 536, 0, -752, 0, 0, 0, 0, 0, 0, 0, -108, 0, -912, 0, 0, 0, 0, 0, 0, 0, 704, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 47969613
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67554269322023416, 'source_is_minimal': False, 'source_label': '4600.2.e.p.4049.2', 'source_level': 4600, 'target_conrey_index': 4049, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67554269322023416, 'target_is_minimal': False, 'target_label': '4600.2.e.p.4049.2', 'target_level': 4600, 'twist_class_label': '920.2.a.h.1.1', 'twist_class_level': 920, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47969614
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 4049, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67554269322023416, 'source_is_minimal': False, 'source_label': '4600.2.e.p.4049.2', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425148824, 'target_is_minimal': True, 'target_label': '920.2.a.h.1.1', 'target_level': 920, 'twist_class_label': '920.2.a.h.1.1', 'twist_class_level': 920, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47969615
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 4049, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67554269322023416, 'source_is_minimal': False, 'source_label': '4600.2.e.p.4049.2', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 103582791463080440, 'target_is_minimal': False, 'target_label': '4600.2.a.x.1.3', 'target_level': 4600, 'twist_class_label': '920.2.a.h.1.1', 'twist_class_level': 920, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47969616
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67554269322023416, 'source_is_minimal': False, 'source_label': '4600.2.e.p.4049.2', 'source_level': 4600, 'target_conrey_index': 4049, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 67554269322023416, 'target_is_minimal': False, 'target_label': '4600.2.e.p.4049.5', 'target_level': 4600, 'twist_class_label': '920.2.a.h.1.1', 'twist_class_level': 920, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47969617
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67554269322023416, 'source_is_minimal': False, 'source_label': '4600.2.e.p.4049.2', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 157625986991530072, 'target_is_minimal': False, 'target_label': '8280.2.a.bj.1.3', 'target_level': 8280, 'twist_class_label': '920.2.a.h.1.1', 'twist_class_level': 920, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47969618
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67554269322023416, 'source_is_minimal': False, 'source_label': '4600.2.e.p.4049.2', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 252201579166311408, 'target_is_minimal': False, 'target_label': '9200.2.a.ce.1.1', 'target_level': 9200, 'twist_class_label': '920.2.a.h.1.1', 'twist_class_level': 920, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47969619
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67554269322023416, 'source_is_minimal': False, 'source_label': '4600.2.e.p.4049.2', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 81064793326225200, 'target_is_minimal': False, 'target_label': '1840.2.a.s.1.3', 'target_level': 1840, 'twist_class_label': '920.2.a.h.1.1', 'twist_class_level': 920, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47969620
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67554269322023416, 'source_is_minimal': False, 'source_label': '4600.2.e.p.4049.2', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 243194379911568576, 'target_is_minimal': False, 'target_label': '7360.2.a.cc.1.1', 'target_level': 7360, 'twist_class_label': '920.2.a.h.1.1', 'twist_class_level': 920, 'twisting_char_label': '40.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 47969621
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 4049, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67554269322023416, 'source_is_minimal': False, 'source_label': '4600.2.e.p.4049.2', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 225179981402086592, 'target_is_minimal': False, 'target_label': '7360.2.a.by.1.3', 'target_level': 7360, 'twist_class_label': '920.2.a.h.1.1', 'twist_class_level': 920, 'twisting_char_label': '40.37', 'twisting_conrey_index': 37, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3647400
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 67554269322023416, 'p': 2}
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id: 3647401
{'charpoly_factorization': [[[64, 0, 97, 0, 19, 0, 1], 1]], 'hecke_orbit_code': 67554269322023416, 'p': 3}
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id: 3647402
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 67554269322023416, 'p': 5}
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id: 3647403
{'charpoly_factorization': [[[1, 0, 68, 0, 20, 0, 1], 1]], 'hecke_orbit_code': 67554269322023416, 'p': 7}
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id: 3647404
{'charpoly_factorization': [[[14, 7, -7, 1], 2]], 'hecke_orbit_code': 67554269322023416, 'p': 11}
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id: 3647405
{'charpoly_factorization': [[[2500, 0, 629, 0, 47, 0, 1], 1]], 'hecke_orbit_code': 67554269322023416, 'p': 13}
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id: 3647406
{'charpoly_factorization': [[[6889, 0, 1760, 0, 80, 0, 1], 1]], 'hecke_orbit_code': 67554269322023416, 'p': 17}
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id: 3647407
{'charpoly_factorization': [[[62, 33, -13, 1], 2]], 'hecke_orbit_code': 67554269322023416, 'p': 19}
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id: 3647408
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 67554269322023416, 'p': 23}
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id: 3647409
{'charpoly_factorization': [[[-76, 26, 13, 1], 2]], 'hecke_orbit_code': 67554269322023416, 'p': 29}
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id: 3647410
{'charpoly_factorization': [[[-1, 12, 8, 1], 2]], 'hecke_orbit_code': 67554269322023416, 'p': 31}
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id: 3647411
{'charpoly_factorization': [[[246016, 0, 13424, 0, 209, 0, 1], 1]], 'hecke_orbit_code': 67554269322023416, 'p': 37}
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id: 3647412
{'charpoly_factorization': [[[1, -2, -8, 1], 2]], 'hecke_orbit_code': 67554269322023416, 'p': 41}
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id: 3647413
{'charpoly_factorization': [[[64, 0, 1], 3]], 'hecke_orbit_code': 67554269322023416, 'p': 43}
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id: 3647414
{'charpoly_factorization': [[[160000, 0, 10064, 0, 188, 0, 1], 1]], 'hecke_orbit_code': 67554269322023416, 'p': 47}
-
id: 3647415
{'charpoly_factorization': [[[90000, 0, 9400, 0, 201, 0, 1], 1]], 'hecke_orbit_code': 67554269322023416, 'p': 53}
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id: 3647416
{'charpoly_factorization': [[[-36, 66, -17, 1], 2]], 'hecke_orbit_code': 67554269322023416, 'p': 59}
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id: 3647417
{'charpoly_factorization': [[[720, -51, -13, 1], 2]], 'hecke_orbit_code': 67554269322023416, 'p': 61}
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id: 3647418
{'charpoly_factorization': [[[246016, 0, 13424, 0, 209, 0, 1], 1]], 'hecke_orbit_code': 67554269322023416, 'p': 67}
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id: 3647419
{'charpoly_factorization': [[[-225, 96, 22, 1], 2]], 'hecke_orbit_code': 67554269322023416, 'p': 71}
-
id: 3647420
{'charpoly_factorization': [[[4494400, 0, 81856, 0, 496, 0, 1], 1]], 'hecke_orbit_code': 67554269322023416, 'p': 73}
-
id: 3647421
{'charpoly_factorization': [[[512, -144, -4, 1], 2]], 'hecke_orbit_code': 67554269322023416, 'p': 79}
-
id: 3647422
{'charpoly_factorization': [[[1296, 0, 2680, 0, 145, 0, 1], 1]], 'hecke_orbit_code': 67554269322023416, 'p': 83}
-
id: 3647423
{'charpoly_factorization': [[[64, -128, -8, 1], 2]], 'hecke_orbit_code': 67554269322023416, 'p': 89}
-
id: 3647424
{'charpoly_factorization': [[[2500, 0, 6261, 0, 171, 0, 1], 1]], 'hecke_orbit_code': 67554269322023416, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 16, 'label': '4600.2.e.p', 'level': 4600, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 237261000
{'hecke_orbit_code': 67554269322023416, 'n': 1, 'trace_an': 6}
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id: 237261001
{'hecke_orbit_code': 67554269322023416, 'n': 2, 'trace_an': 0}
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id: 237261002
{'hecke_orbit_code': 67554269322023416, 'n': 3, 'trace_an': 0}
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id: 237261003
{'hecke_orbit_code': 67554269322023416, 'n': 4, 'trace_an': 0}
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id: 237261004
{'hecke_orbit_code': 67554269322023416, 'n': 5, 'trace_an': 0}
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id: 237261005
{'hecke_orbit_code': 67554269322023416, 'n': 6, 'trace_an': 0}
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id: 237261006
{'hecke_orbit_code': 67554269322023416, 'n': 7, 'trace_an': 0}
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id: 237261007
{'hecke_orbit_code': 67554269322023416, 'n': 8, 'trace_an': 0}
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id: 237261008
{'hecke_orbit_code': 67554269322023416, 'n': 9, 'trace_an': -20}
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id: 237261009
{'hecke_orbit_code': 67554269322023416, 'n': 10, 'trace_an': 0}
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{'hecke_orbit_code': 67554269322023416, 'n': 998, 'trace_an': 0}
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id: 237261998
{'hecke_orbit_code': 67554269322023416, 'n': 999, 'trace_an': 408}
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id: 237261999
{'hecke_orbit_code': 67554269322023416, 'n': 1000, 'trace_an': 0}