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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': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [0, 1]], [7, [1, 0, 1]], [11, [6, 1]], [13, [4, 0, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532671557800440, '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.j', '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.c', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+iq^{7}+3q^{9}-6q^{11}+2iq^{13}-3iq^{17}+\\cdots', 'related_objects': [], 'relative_dim': 2, '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': 219403063006800610, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.915', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.224', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.601', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3.240', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
Hide schema
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'conrey_index': 4049, 'dual_conrey_index': 4049, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 1.0, 'embedding_root_real': 0.0, 'hecke_orbit': 10, 'hecke_orbit_code': 40532671557800440, 'label': '4600.2.e.j.4049.2', '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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mf_twists_cc • Show schema
Hide schema
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id: 46945077
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532671557800440, 'source_is_minimal': False, 'source_label': '4600.2.e.j.4049.2', 'source_level': 4600, 'target_conrey_index': 4049, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532671557800440, 'target_is_minimal': False, 'target_label': '4600.2.e.j.4049.2', 'target_level': 4600, 'twist_class_label': '920.2.a.c.1.1', 'twist_class_level': 920, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46945078
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 4049, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532671557800440, 'source_is_minimal': False, 'source_label': '4600.2.e.j.4049.2', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425152504, 'target_is_minimal': False, 'target_label': '4600.2.a.h.1.1', 'target_level': 4600, 'twist_class_label': '920.2.a.c.1.1', 'twist_class_level': 920, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46945079
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 4049, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532671557800440, 'source_is_minimal': False, 'source_label': '4600.2.e.j.4049.2', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288296344, 'target_is_minimal': True, 'target_label': '920.2.a.c.1.1', 'target_level': 920, 'twist_class_label': '920.2.a.c.1.1', 'twist_class_level': 920, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46945080
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532671557800440, 'source_is_minimal': False, 'source_label': '4600.2.e.j.4049.2', 'source_level': 4600, 'target_conrey_index': 4049, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671557800440, 'target_is_minimal': False, 'target_label': '4600.2.e.j.4049.1', 'target_level': 4600, 'twist_class_label': '920.2.a.c.1.1', 'twist_class_level': 920, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46945081
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532671557800440, 'source_is_minimal': False, 'source_label': '4600.2.e.j.4049.2', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679897176, 'target_is_minimal': False, 'target_label': '8280.2.a.j.1.1', 'target_level': 8280, 'twist_class_label': '920.2.a.c.1.1', 'twist_class_level': 920, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 46945082
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532671557800440, 'source_is_minimal': False, 'source_label': '4600.2.e.j.4049.2', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170408752, 'target_is_minimal': False, 'target_label': '1840.2.a.f.1.1', 'target_level': 1840, 'twist_class_label': '920.2.a.c.1.1', 'twist_class_level': 920, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46945083
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532671557800440, 'source_is_minimal': False, 'source_label': '4600.2.e.j.4049.2', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079191835714544, 'target_is_minimal': False, 'target_label': '9200.2.a.w.1.1', 'target_level': 9200, 'twist_class_label': '920.2.a.c.1.1', 'twist_class_level': 920, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46945084
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532671557800440, 'source_is_minimal': False, 'source_label': '4600.2.e.j.4049.2', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307266752, 'target_is_minimal': False, 'target_label': '7360.2.a.k.1.1', 'target_level': 7360, 'twist_class_label': '920.2.a.c.1.1', 'twist_class_level': 920, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46945085
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 4049, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532671557800440, 'source_is_minimal': False, 'source_label': '4600.2.e.j.4049.2', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934637248, 'target_is_minimal': False, 'target_label': '7360.2.a.l.1.1', 'target_level': 7360, 'twist_class_label': '920.2.a.c.1.1', 'twist_class_level': 920, 'twisting_char_label': '40.13', 'twisting_conrey_index': 13, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3643150
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532671557800440, 'p': 2}
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id: 3643151
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532671557800440, 'p': 3}
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id: 3643152
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532671557800440, 'p': 5}
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id: 3643153
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 40532671557800440, 'p': 7}
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id: 3643154
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 40532671557800440, 'p': 11}
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id: 3643155
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 40532671557800440, 'p': 13}
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id: 3643156
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 40532671557800440, 'p': 17}
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id: 3643157
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 40532671557800440, 'p': 19}
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id: 3643158
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 40532671557800440, 'p': 23}
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id: 3643159
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 40532671557800440, 'p': 29}
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id: 3643160
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 40532671557800440, 'p': 31}
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id: 3643161
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 40532671557800440, 'p': 37}
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id: 3643162
{'charpoly_factorization': [[[-9, 1], 2]], 'hecke_orbit_code': 40532671557800440, 'p': 41}
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id: 3643163
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 40532671557800440, 'p': 43}
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id: 3643164
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 40532671557800440, 'p': 47}
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id: 3643165
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 40532671557800440, 'p': 53}
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id: 3643166
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 40532671557800440, 'p': 59}
-
id: 3643167
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 40532671557800440, 'p': 61}
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id: 3643168
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 40532671557800440, 'p': 67}
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id: 3643169
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 40532671557800440, 'p': 71}
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id: 3643170
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 40532671557800440, 'p': 73}
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id: 3643171
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532671557800440, 'p': 79}
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id: 3643172
{'charpoly_factorization': [[[121, 0, 1], 1]], 'hecke_orbit_code': 40532671557800440, 'p': 83}
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id: 3643173
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 40532671557800440, 'p': 89}
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id: 3643174
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 40532671557800440, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 10, 'label': '4600.2.e.j', '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: 208837000
{'hecke_orbit_code': 40532671557800440, 'n': 1, 'trace_an': 2}
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id: 208837001
{'hecke_orbit_code': 40532671557800440, 'n': 2, 'trace_an': 0}
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id: 208837002
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{'hecke_orbit_code': 40532671557800440, 'n': 988, 'trace_an': 0}
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id: 208837988
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id: 208837989
{'hecke_orbit_code': 40532671557800440, 'n': 990, 'trace_an': 0}
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id: 208837990
{'hecke_orbit_code': 40532671557800440, 'n': 991, 'trace_an': -30}
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id: 208837991
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id: 208837992
{'hecke_orbit_code': 40532671557800440, 'n': 993, 'trace_an': 0}
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id: 208837993
{'hecke_orbit_code': 40532671557800440, 'n': 994, 'trace_an': 0}
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id: 208837994
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id: 208837995
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id: 208837996
{'hecke_orbit_code': 40532671557800440, 'n': 997, 'trace_an': 0}
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id: 208837997
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id: 208837998
{'hecke_orbit_code': 40532671557800440, 'n': 999, 'trace_an': 0}
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id: 208837999
{'hecke_orbit_code': 40532671557800440, 'n': 1000, 'trace_an': 0}