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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': -24681024, 'field_disc_factorization': [[-1, 1], [2, 6], [3, 6], [23, 2]], 'field_poly': [9, 0, 36, 0, 12, 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, [9, 0, 36, 0, 12, 0, 1]], [7, [4, 0, 21, 0, 15, 0, 1]], [11, [-12, -15, -3, 1]], [13, [841, 0, 324, 0, 36, 0, 1]]], 'hecke_orbit': 18, 'hecke_orbit_code': 76561468576764408, '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.r', '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.g', 'nf_label': '6.0.24681024.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{1}q^{3}+(-\\beta _{1}+\\beta _{2})q^{7}+(-1-\\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': 2225610391896416836, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.577', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_cc • Show schema
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'embedding_index': 6, 'embedding_m': 6, 'embedding_root_imag': 2.6690790882822886, 'embedding_root_real': 0.0, 'hecke_orbit': 18, 'hecke_orbit_code': 76561468576764408, 'label': '4600.2.e.r.4049.6', 'level': 4600, 'weight': 2}
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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: 48154798
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 76561468576764408, 'source_is_minimal': False, 'source_label': '4600.2.e.r.4049.6', 'source_level': 4600, 'target_conrey_index': 4049, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 76561468576764408, 'target_is_minimal': False, 'target_label': '4600.2.e.r.4049.6', 'target_level': 4600, 'twist_class_label': '920.2.a.g.1.3', 'twist_class_level': 920, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48154799
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 4049, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 76561468576764408, 'source_is_minimal': False, 'source_label': '4600.2.e.r.4049.6', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27021597797778328, 'target_is_minimal': True, 'target_label': '920.2.a.g.1.3', 'target_level': 920, 'twist_class_label': '920.2.a.g.1.3', 'twist_class_level': 920, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48154800
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 4049, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 76561468576764408, 'source_is_minimal': False, 'source_label': '4600.2.e.r.4049.6', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391090450936, 'target_is_minimal': False, 'target_label': '4600.2.a.y.1.1', 'target_level': 4600, 'twist_class_label': '920.2.a.g.1.3', 'twist_class_level': 920, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48154801
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 76561468576764408, 'source_is_minimal': False, 'source_label': '4600.2.e.r.4049.6', 'source_level': 4600, 'target_conrey_index': 4049, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561468576764408, 'target_is_minimal': False, 'target_label': '4600.2.e.r.4049.1', 'target_level': 4600, 'twist_class_label': '920.2.a.g.1.3', 'twist_class_level': 920, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48154802
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 76561468576764408, 'source_is_minimal': False, 'source_label': '4600.2.e.r.4049.6', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 180143985128382552, 'target_is_minimal': False, 'target_label': '8280.2.a.bo.1.3', 'target_level': 8280, 'twist_class_label': '920.2.a.g.1.3', 'twist_class_level': 920, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48154803
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 76561468576764408, 'source_is_minimal': False, 'source_label': '4600.2.e.r.4049.6', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 247697979538940912, 'target_is_minimal': False, 'target_label': '9200.2.a.cd.1.3', 'target_level': 9200, 'twist_class_label': '920.2.a.g.1.3', 'twist_class_level': 920, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48154804
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 76561468576764408, 'source_is_minimal': False, 'source_label': '4600.2.e.r.4049.6', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392953595696, 'target_is_minimal': False, 'target_label': '1840.2.a.t.1.1', 'target_level': 1840, 'twist_class_label': '920.2.a.g.1.3', 'twist_class_level': 920, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48154805
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 76561468576764408, 'source_is_minimal': False, 'source_label': '4600.2.e.r.4049.6', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 234187180656827584, 'target_is_minimal': False, 'target_label': '7360.2.a.ca.1.3', 'target_level': 7360, 'twist_class_label': '920.2.a.g.1.3', 'twist_class_level': 920, 'twisting_char_label': '40.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 48154806
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 4049, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 76561468576764408, 'source_is_minimal': False, 'source_label': '4600.2.e.r.4049.6', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 238690780284198080, 'target_is_minimal': False, 'target_label': '7360.2.a.cb.1.1', 'target_level': 7360, 'twist_class_label': '920.2.a.g.1.3', '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: 3647475
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 76561468576764408, 'p': 2}
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id: 3647476
{'charpoly_factorization': [[[9, 0, 36, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 76561468576764408, 'p': 3}
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id: 3647477
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 76561468576764408, 'p': 5}
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id: 3647478
{'charpoly_factorization': [[[4, 0, 21, 0, 15, 0, 1], 1]], 'hecke_orbit_code': 76561468576764408, 'p': 7}
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id: 3647479
{'charpoly_factorization': [[[-12, -15, -3, 1], 2]], 'hecke_orbit_code': 76561468576764408, 'p': 11}
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id: 3647480
{'charpoly_factorization': [[[841, 0, 324, 0, 36, 0, 1], 1]], 'hecke_orbit_code': 76561468576764408, 'p': 13}
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id: 3647481
{'charpoly_factorization': [[[144, 0, 153, 0, 39, 0, 1], 1]], 'hecke_orbit_code': 76561468576764408, 'p': 17}
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id: 3647482
{'charpoly_factorization': [[[48, -33, 3, 1], 2]], 'hecke_orbit_code': 76561468576764408, 'p': 19}
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id: 3647483
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 76561468576764408, 'p': 23}
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id: 3647484
{'charpoly_factorization': [[[-12, -6, 3, 1], 2]], 'hecke_orbit_code': 76561468576764408, 'p': 29}
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id: 3647485
{'charpoly_factorization': [[[249, -42, -6, 1], 2]], 'hecke_orbit_code': 76561468576764408, 'p': 31}
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id: 3647486
{'charpoly_factorization': [[[16, 0, 1], 3]], 'hecke_orbit_code': 76561468576764408, 'p': 37}
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id: 3647487
{'charpoly_factorization': [[[-69, -60, 6, 1], 2]], 'hecke_orbit_code': 76561468576764408, 'p': 41}
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id: 3647488
{'charpoly_factorization': [[[1024, 0, 6336, 0, 180, 0, 1], 1]], 'hecke_orbit_code': 76561468576764408, 'p': 43}
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id: 3647489
{'charpoly_factorization': [[[5776, 0, 2076, 0, 93, 0, 1], 1]], 'hecke_orbit_code': 76561468576764408, 'p': 47}
-
id: 3647490
{'charpoly_factorization': [[[287296, 0, 23856, 0, 300, 0, 1], 1]], 'hecke_orbit_code': 76561468576764408, 'p': 53}
-
id: 3647491
{'charpoly_factorization': [[[-32, -36, 6, 1], 2]], 'hecke_orbit_code': 76561468576764408, 'p': 59}
-
id: 3647492
{'charpoly_factorization': [[[-596, 225, -27, 1], 2]], 'hecke_orbit_code': 76561468576764408, 'p': 61}
-
id: 3647493
{'charpoly_factorization': [[[8667136, 0, 128256, 0, 624, 0, 1], 1]], 'hecke_orbit_code': 76561468576764408, 'p': 67}
-
id: 3647494
{'charpoly_factorization': [[[203, -60, -6, 1], 2]], 'hecke_orbit_code': 76561468576764408, 'p': 71}
-
id: 3647495
{'charpoly_factorization': [[[345744, 0, 19404, 0, 309, 0, 1], 1]], 'hecke_orbit_code': 76561468576764408, 'p': 73}
-
id: 3647496
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 76561468576764408, 'p': 79}
-
id: 3647497
{'charpoly_factorization': [[[4096, 0, 5136, 0, 264, 0, 1], 1]], 'hecke_orbit_code': 76561468576764408, 'p': 83}
-
id: 3647498
{'charpoly_factorization': [[[-608, 264, -30, 1], 2]], 'hecke_orbit_code': 76561468576764408, 'p': 89}
-
id: 3647499
{'charpoly_factorization': [[[19044, 0, 7245, 0, 219, 0, 1], 1]], 'hecke_orbit_code': 76561468576764408, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 18, 'label': '4600.2.e.r', 'level': 4600, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 243513000
{'hecke_orbit_code': 76561468576764408, 'n': 1, 'trace_an': 6}
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id: 243513001
{'hecke_orbit_code': 76561468576764408, 'n': 2, 'trace_an': 0}
-
id: 243513002
{'hecke_orbit_code': 76561468576764408, 'n': 3, 'trace_an': 0}
-
id: 243513003
{'hecke_orbit_code': 76561468576764408, 'n': 4, 'trace_an': 0}
-
id: 243513004
{'hecke_orbit_code': 76561468576764408, 'n': 5, 'trace_an': 0}
-
id: 243513005
{'hecke_orbit_code': 76561468576764408, 'n': 6, 'trace_an': 0}
-
id: 243513006
{'hecke_orbit_code': 76561468576764408, 'n': 7, 'trace_an': 0}
-
id: 243513007
{'hecke_orbit_code': 76561468576764408, 'n': 8, 'trace_an': 0}
-
id: 243513008
{'hecke_orbit_code': 76561468576764408, 'n': 9, 'trace_an': -6}
-
id: 243513009
{'hecke_orbit_code': 76561468576764408, 'n': 10, 'trace_an': 0}
-
id: 243513010
{'hecke_orbit_code': 76561468576764408, 'n': 11, 'trace_an': 6}
-
id: 243513011
{'hecke_orbit_code': 76561468576764408, 'n': 12, 'trace_an': 0}
-
id: 243513012
{'hecke_orbit_code': 76561468576764408, 'n': 13, 'trace_an': 0}
-
id: 243513013
{'hecke_orbit_code': 76561468576764408, 'n': 14, 'trace_an': 0}
-
id: 243513014
{'hecke_orbit_code': 76561468576764408, 'n': 15, 'trace_an': 0}
-
id: 243513015
{'hecke_orbit_code': 76561468576764408, 'n': 16, 'trace_an': 0}
-
id: 243513016
{'hecke_orbit_code': 76561468576764408, 'n': 17, 'trace_an': 0}
-
id: 243513017
{'hecke_orbit_code': 76561468576764408, 'n': 18, 'trace_an': 0}
-
id: 243513018
{'hecke_orbit_code': 76561468576764408, 'n': 19, 'trace_an': -6}
-
id: 243513019
{'hecke_orbit_code': 76561468576764408, 'n': 20, 'trace_an': 0}
-
id: 243513020
{'hecke_orbit_code': 76561468576764408, 'n': 21, 'trace_an': 24}
-
id: 243513021
{'hecke_orbit_code': 76561468576764408, 'n': 22, 'trace_an': 0}
-
id: 243513022
{'hecke_orbit_code': 76561468576764408, 'n': 23, 'trace_an': 0}
-
id: 243513023
{'hecke_orbit_code': 76561468576764408, 'n': 24, 'trace_an': 0}
-
id: 243513024
{'hecke_orbit_code': 76561468576764408, 'n': 25, 'trace_an': 0}
-
id: 243513025
{'hecke_orbit_code': 76561468576764408, 'n': 26, 'trace_an': 0}
-
id: 243513026
{'hecke_orbit_code': 76561468576764408, 'n': 27, 'trace_an': 0}
-
id: 243513027
{'hecke_orbit_code': 76561468576764408, 'n': 28, 'trace_an': 0}
-
id: 243513028
{'hecke_orbit_code': 76561468576764408, 'n': 29, 'trace_an': -6}
-
id: 243513029
{'hecke_orbit_code': 76561468576764408, 'n': 30, 'trace_an': 0}
-
id: 243513030
{'hecke_orbit_code': 76561468576764408, 'n': 31, 'trace_an': 12}
-
id: 243513031
{'hecke_orbit_code': 76561468576764408, 'n': 32, 'trace_an': 0}
-
id: 243513032
{'hecke_orbit_code': 76561468576764408, 'n': 33, 'trace_an': 0}
-
id: 243513033
{'hecke_orbit_code': 76561468576764408, 'n': 34, 'trace_an': 0}
-
id: 243513034
{'hecke_orbit_code': 76561468576764408, 'n': 35, 'trace_an': 0}
-
id: 243513035
{'hecke_orbit_code': 76561468576764408, 'n': 36, 'trace_an': 0}
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