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{'Nk2': 7500, 'analytic_conductor': 14.971950378990073, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1]], 'atkin_lehner_string': '--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1875, 1, [626, 1252], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 1125, 'field_disc_factorization': [[3, 2], [5, 3]], 'field_poly': [1, 4, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 15, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [1, -4, -4, 1, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170408787, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1875.2.a.f', 'level': 1875, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '1875.2.a.f', 'nf_label': '4.4.1125.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(\\beta _{2}+\\beta _{3})q^{2}+q^{3}+\\beta _{1}q^{4}+(\\beta _{2}+\\beta _{3})q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1875.2.a', 'trace_display': [-1, 4, 0, -5], 'trace_hash': 1691708426358817396, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.748', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '40.763', 'prec': 20}, 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-
mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [5, -1]], 14, 3], [[[3, 1], [5, 1]], 18, 5], [[[3, 1], [5, -1]], 22, 3], [[[3, -1], [5, 1]], 26, 5]], 'ALdims': [18, 22, 26, 14], 'Nk2': 7500, 'analytic_conductor': 14.971950378990073, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1875, 1, [626, 1252], [1, 1]], 'conrey_index': 1, 'cusp_dim': 221, 'dim': 80, 'eis_dim': 59, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33556307, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8], 'label': '1875.2.a', 'level': 1875, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 280, 'mf_new_dim': 80, 'num_forms': 16, 'plus_dim': 32, 'prim_orbit_index': 1, 'relative_dim': 80, 'sturm_bound': 500, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, 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mf_twists_cc • Show schema
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id: 44900169
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22517998170408787, 'source_is_minimal': True, 'source_label': '1875.2.a.f.1.4', 'source_level': 1875, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22517998170408787, 'target_is_minimal': True, 'target_label': '1875.2.a.f.1.4', 'target_level': 1875, 'twist_class_label': '1875.2.a.f.1.4', 'twist_class_level': 1875, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44900170
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22517998170408787, 'source_is_minimal': True, 'source_label': '1875.2.a.f.1.4', 'source_level': 1875, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562006009, 'target_is_minimal': False, 'target_label': '5625.2.a.m.1.1', 'target_level': 5625, 'twist_class_label': '1875.2.a.f.1.4', 'twist_class_level': 1875, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44900171
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22517998170408787, 'source_is_minimal': True, 'source_label': '1875.2.a.f.1.4', 'source_level': 1875, 'target_conrey_index': 1249, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 13510867635144531, 'target_is_minimal': False, 'target_label': '1875.2.b.d.1249.8', 'target_level': 1875, 'twist_class_label': '1875.2.a.f.1.4', 'twist_class_level': 1875, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44900172
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22517998170408787, 'source_is_minimal': True, 'source_label': '1875.2.a.f.1.4', 'source_level': 1875, 'target_conrey_index': 1249, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510867635144531, 'target_is_minimal': False, 'target_label': '1875.2.b.d.1249.1', 'target_level': 1875, 'twist_class_label': '1875.2.a.f.1.4', 'twist_class_level': 1875, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44900173
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22517998170408787, 'source_is_minimal': True, 'source_label': '1875.2.a.f.1.4', 'source_level': 1875, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797779283, 'target_is_minimal': True, 'target_label': '1875.2.a.g.1.1', 'target_level': 1875, 'twist_class_label': '1875.2.a.f.1.4', 'twist_class_level': 1875, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44900174
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22517998170408787, 'source_is_minimal': True, 'source_label': '1875.2.a.f.1.4', 'source_level': 1875, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532396679894521, 'target_is_minimal': False, 'target_label': '5625.2.a.j.1.4', 'target_level': 5625, 'twist_class_label': '1875.2.a.f.1.4', 'twist_class_level': 1875, '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: 2272025
{'charpoly_factorization': [[[1, -4, -4, 1, 1], 1]], 'hecke_orbit_code': 22517998170408787, 'p': 2}
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id: 2272026
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 22517998170408787, 'p': 3}
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id: 2272027
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22517998170408787, 'p': 5}
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id: 2272028
{'charpoly_factorization': [[[-5, -10, 0, 5, 1], 1]], 'hecke_orbit_code': 22517998170408787, 'p': 7}
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id: 2272029
{'charpoly_factorization': [[[-9, -9, 6, 6, 1], 1]], 'hecke_orbit_code': 22517998170408787, 'p': 11}
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id: 2272030
{'charpoly_factorization': [[[-89, -92, -6, 7, 1], 1]], 'hecke_orbit_code': 22517998170408787, 'p': 13}
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id: 2272031
{'charpoly_factorization': [[[-359, 202, -16, -7, 1], 1]], 'hecke_orbit_code': 22517998170408787, 'p': 17}
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id: 2272032
{'charpoly_factorization': [[[-9, -36, 6, 9, 1], 1]], 'hecke_orbit_code': 22517998170408787, 'p': 19}
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id: 2272033
{'charpoly_factorization': [[[-5, -10, 20, 10, 1], 1]], 'hecke_orbit_code': 22517998170408787, 'p': 23}
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id: 2272034
{'charpoly_factorization': [[[1801, 1217, 284, 28, 1], 1]], 'hecke_orbit_code': 22517998170408787, 'p': 29}
-
id: 2272035
{'charpoly_factorization': [[[-125, -125, 0, 10, 1], 1]], 'hecke_orbit_code': 22517998170408787, 'p': 31}
-
id: 2272036
{'charpoly_factorization': [[[-1475, 1025, -90, -10, 1], 1]], 'hecke_orbit_code': 22517998170408787, 'p': 37}
-
id: 2272037
{'charpoly_factorization': [[[145, -135, -70, 0, 1], 1]], 'hecke_orbit_code': 22517998170408787, 'p': 41}
-
id: 2272038
{'charpoly_factorization': [[[-419, 341, -79, 1, 1], 1]], 'hecke_orbit_code': 22517998170408787, 'p': 43}
-
id: 2272039
{'charpoly_factorization': [[[-6089, 1013, 89, -23, 1], 1]], 'hecke_orbit_code': 22517998170408787, 'p': 47}
-
id: 2272040
{'charpoly_factorization': [[[2995, 270, -145, 0, 1], 1]], 'hecke_orbit_code': 22517998170408787, 'p': 53}
-
id: 2272041
{'charpoly_factorization': [[[1531, 421, -154, -4, 1], 1]], 'hecke_orbit_code': 22517998170408787, 'p': 59}
-
id: 2272042
{'charpoly_factorization': [[[10261, 4417, 669, 43, 1], 1]], 'hecke_orbit_code': 22517998170408787, 'p': 61}
-
id: 2272043
{'charpoly_factorization': [[[151, -458, -61, 8, 1], 1]], 'hecke_orbit_code': 22517998170408787, 'p': 67}
-
id: 2272044
{'charpoly_factorization': [[[271, -672, 134, 27, 1], 1]], 'hecke_orbit_code': 22517998170408787, 'p': 71}
-
id: 2272045
{'charpoly_factorization': [[[2745, -900, -60, 15, 1], 1]], 'hecke_orbit_code': 22517998170408787, 'p': 73}
-
id: 2272046
{'charpoly_factorization': [[[-3155, 1370, -105, -10, 1], 1]], 'hecke_orbit_code': 22517998170408787, 'p': 79}
-
id: 2272047
{'charpoly_factorization': [[[13491, -198, -246, 3, 1], 1]], 'hecke_orbit_code': 22517998170408787, 'p': 83}
-
id: 2272048
{'charpoly_factorization': [[[61, -96, -4, 9, 1], 1]], 'hecke_orbit_code': 22517998170408787, 'p': 89}
-
id: 2272049
{'charpoly_factorization': [[[14701, -1448, -216, 13, 1], 1]], 'hecke_orbit_code': 22517998170408787, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '1875.2.a.f', 'level': 1875, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 162940000
{'hecke_orbit_code': 22517998170408787, 'n': 1, 'trace_an': 4}
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id: 162940001
{'hecke_orbit_code': 22517998170408787, 'n': 2, 'trace_an': -1}
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id: 162940002
{'hecke_orbit_code': 22517998170408787, 'n': 3, 'trace_an': 4}
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id: 162940003
{'hecke_orbit_code': 22517998170408787, 'n': 4, 'trace_an': 1}
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id: 162940004
{'hecke_orbit_code': 22517998170408787, 'n': 5, 'trace_an': 0}
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id: 162940005
{'hecke_orbit_code': 22517998170408787, 'n': 6, 'trace_an': -1}
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id: 162940006
{'hecke_orbit_code': 22517998170408787, 'n': 7, 'trace_an': -5}
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id: 162940007
{'hecke_orbit_code': 22517998170408787, 'n': 8, 'trace_an': 3}
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id: 162940008
{'hecke_orbit_code': 22517998170408787, 'n': 9, 'trace_an': 4}
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id: 162940009
{'hecke_orbit_code': 22517998170408787, 'n': 10, 'trace_an': 0}
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id: 162940010
{'hecke_orbit_code': 22517998170408787, 'n': 11, 'trace_an': -6}
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id: 162940011
{'hecke_orbit_code': 22517998170408787, 'n': 12, 'trace_an': 1}
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id: 162940012
{'hecke_orbit_code': 22517998170408787, 'n': 13, 'trace_an': -7}
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id: 162940013
{'hecke_orbit_code': 22517998170408787, 'n': 14, 'trace_an': -10}
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id: 162940014
{'hecke_orbit_code': 22517998170408787, 'n': 15, 'trace_an': 0}
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id: 162940015
{'hecke_orbit_code': 22517998170408787, 'n': 16, 'trace_an': -9}
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id: 162940016
{'hecke_orbit_code': 22517998170408787, 'n': 17, 'trace_an': 7}
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id: 162940017
{'hecke_orbit_code': 22517998170408787, 'n': 18, 'trace_an': -1}
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id: 162940018
{'hecke_orbit_code': 22517998170408787, 'n': 19, 'trace_an': -9}
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id: 162940019
{'hecke_orbit_code': 22517998170408787, 'n': 20, 'trace_an': 0}
-
id: 162940020
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id: 162940997
{'hecke_orbit_code': 22517998170408787, 'n': 998, 'trace_an': -39}
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id: 162940998
{'hecke_orbit_code': 22517998170408787, 'n': 999, 'trace_an': 10}
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id: 162940999
{'hecke_orbit_code': 22517998170408787, 'n': 1000, 'trace_an': 0}