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mf_newforms • Show schema
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{'Nk2': 11200, 'analytic_conductor': 22.358112565958507, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [2800, 2, [351, 2101, 2577, 801], [2, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 449, 'conrey_indexes': [449], 'dim': 4, 'field_disc': 4624, 'field_disc_factorization': [[2, 4], [17, 2]], 'field_poly': [16, 0, 9, 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, [16, 0, 9, 0, 1]], [11, [-13, -4, 1]], [13, [4, 0, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94576004525198064, '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': '2800.2.g.v', 'level': 2800, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'minimal_twist': '1400.2.a.o', 'nf_label': '4.0.4624.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{1}q^{3}+\\beta _{2}q^{7}+(-2+\\beta _{3})q^{9}+(1+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2800.2.g', 'trace_display': [0, 0, 0, 0], 'trace_hash': 636943571029604511, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.618', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '64.739', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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'char_orbit_index': 7, 'conrey_index': 449, 'dual_conrey_index': 449, 'dual_embedding_index': 4, 'dual_embedding_m': 4, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': -2.5615528128088303, 'embedding_root_real': 0.0, 'hecke_orbit': 22, 'hecke_orbit_code': 94576004525198064, 'label': '2800.2.g.v.449.1', 'level': 2800, 'weight': 2}
-
mf_newspaces • Show schema
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{'Nk2': 11200, 'analytic_conductor': 22.358112565958507, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [2800, 2, [351, 2101, 2577, 801], [2, 2, 1, 2]], 'conrey_index': 449, 'cusp_dim': 444, 'dim': 54, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11, 13], 'hecke_orbit_code': 412350417648, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4], 'label': '2800.2.g', 'level': 2800, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'mf_dim': 516, 'mf_new_dim': 54, 'num_forms': 22, 'prim_orbit_index': 2, 'relative_dim': 54, 'sturm_bound': 960, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [54, 0, 0, 0, 0, 0, 0, 0, -54, 0, 12, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 16, 0, 0, 0, 0, 0, 0, 0, 40, 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mf_twists_cc • Show schema
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id: 48422030
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94576004525198064, 'source_is_minimal': False, 'source_label': '2800.2.g.v.449.1', 'source_level': 2800, 'target_conrey_index': 449, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94576004525198064, 'target_is_minimal': False, 'target_label': '2800.2.g.v.449.1', 'target_level': 2800, 'twist_class_label': '1400.2.a.o.1.1', 'twist_class_level': 1400, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48422031
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94576004525198064, 'source_is_minimal': False, 'source_label': '2800.2.g.v.449.1', 'source_level': 2800, 'target_conrey_index': 449, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532808996750712, 'target_is_minimal': False, 'target_label': '1400.2.g.j.449.4', 'target_level': 1400, 'twist_class_label': '1400.2.a.o.1.1', 'twist_class_level': 1400, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48422032
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94576004525198064, 'source_is_minimal': False, 'source_label': '2800.2.g.v.449.1', 'source_level': 2800, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 157625986991524592, 'target_is_minimal': False, 'target_label': '2800.2.a.bj.1.1', 'target_level': 2800, 'twist_class_label': '1400.2.a.o.1.1', 'twist_class_level': 1400, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48422033
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94576004525198064, 'source_is_minimal': False, 'source_label': '2800.2.g.v.449.1', 'source_level': 2800, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 180143985128377072, 'target_is_minimal': False, 'target_label': '2800.2.a.bo.1.2', 'target_level': 2800, 'twist_class_label': '1400.2.a.o.1.1', 'twist_class_level': 1400, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48422034
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94576004525198064, 'source_is_minimal': False, 'source_label': '2800.2.g.v.449.1', 'source_level': 2800, 'target_conrey_index': 449, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 94576004525198064, 'target_is_minimal': False, 'target_label': '2800.2.g.v.449.4', 'target_level': 2800, 'twist_class_label': '1400.2.a.o.1.1', 'twist_class_level': 1400, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48422035
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94576004525198064, 'source_is_minimal': False, 'source_label': '2800.2.g.v.449.1', 'source_level': 2800, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816742776, 'target_is_minimal': True, 'target_label': '1400.2.a.o.1.1', 'target_level': 1400, 'twist_class_label': '1400.2.a.o.1.1', 'twist_class_level': 1400, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48422036
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94576004525198064, 'source_is_minimal': False, 'source_label': '2800.2.g.v.449.1', 'source_level': 2800, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057594071483768, 'target_is_minimal': True, 'target_label': '1400.2.a.q.1.2', 'target_level': 1400, 'twist_class_label': '1400.2.a.o.1.1', 'twist_class_level': 1400, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48422037
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94576004525198064, 'source_is_minimal': False, 'source_label': '2800.2.g.v.449.1', 'source_level': 2800, 'target_conrey_index': 449, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532808996750712, 'target_is_minimal': False, 'target_label': '1400.2.g.j.449.1', 'target_level': 1400, 'twist_class_label': '1400.2.a.o.1.1', 'twist_class_level': 1400, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48422038
{'conductor': 140, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94576004525198064, 'source_is_minimal': False, 'source_label': '2800.2.g.v.449.1', 'source_level': 2800, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 202661983265236552, 'target_is_minimal': False, 'target_label': '9800.2.a.bt.1.1', 'target_level': 9800, 'twist_class_label': '1400.2.a.o.1.1', 'twist_class_level': 1400, 'twisting_char_label': '140.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 48422039
{'conductor': 140, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94576004525198064, 'source_is_minimal': False, 'source_label': '2800.2.g.v.449.1', 'source_level': 2800, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 220676381774718536, 'target_is_minimal': False, 'target_label': '9800.2.a.bx.1.2', 'target_level': 9800, 'twist_class_label': '1400.2.a.o.1.1', 'twist_class_level': 1400, 'twisting_char_label': '140.83', 'twisting_conrey_index': 83, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2858050
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 94576004525198064, 'p': 2}
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id: 2858051
{'charpoly_factorization': [[[16, 0, 9, 0, 1], 1]], 'hecke_orbit_code': 94576004525198064, 'p': 3}
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id: 2858052
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 94576004525198064, 'p': 5}
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id: 2858053
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 94576004525198064, 'p': 7}
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id: 2858054
{'charpoly_factorization': [[[-13, -4, 1], 2]], 'hecke_orbit_code': 94576004525198064, 'p': 11}
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id: 2858055
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 94576004525198064, 'p': 13}
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id: 2858056
{'charpoly_factorization': [[[16, 0, 9, 0, 1], 1]], 'hecke_orbit_code': 94576004525198064, 'p': 17}
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id: 2858057
{'charpoly_factorization': [[[-2, -3, 1], 2]], 'hecke_orbit_code': 94576004525198064, 'p': 19}
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id: 2858058
{'charpoly_factorization': [[[64, 0, 33, 0, 1], 1]], 'hecke_orbit_code': 94576004525198064, 'p': 23}
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id: 2858059
{'charpoly_factorization': [[[26, 11, 1], 2]], 'hecke_orbit_code': 94576004525198064, 'p': 29}
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id: 2858060
{'charpoly_factorization': [[[8, -10, 1], 2]], 'hecke_orbit_code': 94576004525198064, 'p': 31}
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id: 2858061
{'charpoly_factorization': [[[10816, 0, 217, 0, 1], 1]], 'hecke_orbit_code': 94576004525198064, 'p': 37}
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id: 2858062
{'charpoly_factorization': [[[16, 9, 1], 2]], 'hecke_orbit_code': 94576004525198064, 'p': 41}
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id: 2858063
{'charpoly_factorization': [[[256, 0, 49, 0, 1], 1]], 'hecke_orbit_code': 94576004525198064, 'p': 43}
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id: 2858064
{'charpoly_factorization': [[[68, 0, 1], 2]], 'hecke_orbit_code': 94576004525198064, 'p': 47}
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id: 2858065
{'charpoly_factorization': [[[64, 0, 52, 0, 1], 1]], 'hecke_orbit_code': 94576004525198064, 'p': 53}
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id: 2858066
{'charpoly_factorization': [[[-152, 2, 1], 2]], 'hecke_orbit_code': 94576004525198064, 'p': 59}
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id: 2858067
{'charpoly_factorization': [[[32, -14, 1], 2]], 'hecke_orbit_code': 94576004525198064, 'p': 61}
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id: 2858068
{'charpoly_factorization': [[[16129, 0, 322, 0, 1], 1]], 'hecke_orbit_code': 94576004525198064, 'p': 67}
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id: 2858069
{'charpoly_factorization': [[[-18, -9, 1], 2]], 'hecke_orbit_code': 94576004525198064, 'p': 71}
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id: 2858070
{'charpoly_factorization': [[[4624, 0, 153, 0, 1], 1]], 'hecke_orbit_code': 94576004525198064, 'p': 73}
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id: 2858071
{'charpoly_factorization': [[[-38, -1, 1], 2]], 'hecke_orbit_code': 94576004525198064, 'p': 79}
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id: 2858072
{'charpoly_factorization': [[[324, 0, 189, 0, 1], 1]], 'hecke_orbit_code': 94576004525198064, 'p': 83}
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id: 2858073
{'charpoly_factorization': [[[-106, -1, 1], 2]], 'hecke_orbit_code': 94576004525198064, 'p': 89}
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id: 2858074
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 94576004525198064, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 22, 'label': '2800.2.g.v', 'level': 2800, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 253131000
{'hecke_orbit_code': 94576004525198064, 'n': 1, 'trace_an': 4}
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id: 253131001
{'hecke_orbit_code': 94576004525198064, 'n': 2, 'trace_an': 0}
-
id: 253131002
{'hecke_orbit_code': 94576004525198064, 'n': 3, 'trace_an': 0}
-
id: 253131003
{'hecke_orbit_code': 94576004525198064, 'n': 4, 'trace_an': 0}
-
id: 253131004
{'hecke_orbit_code': 94576004525198064, 'n': 5, 'trace_an': 0}
-
id: 253131005
{'hecke_orbit_code': 94576004525198064, 'n': 6, 'trace_an': 0}
-
id: 253131006
{'hecke_orbit_code': 94576004525198064, 'n': 7, 'trace_an': 0}
-
id: 253131007
{'hecke_orbit_code': 94576004525198064, 'n': 8, 'trace_an': 0}
-
id: 253131008
{'hecke_orbit_code': 94576004525198064, 'n': 9, 'trace_an': -6}
-
id: 253131009
{'hecke_orbit_code': 94576004525198064, 'n': 10, 'trace_an': 0}
-
id: 253131010
{'hecke_orbit_code': 94576004525198064, 'n': 11, 'trace_an': 8}
-
id: 253131011
{'hecke_orbit_code': 94576004525198064, 'n': 12, 'trace_an': 0}
-
id: 253131012
{'hecke_orbit_code': 94576004525198064, 'n': 13, 'trace_an': 0}
-
id: 253131013
{'hecke_orbit_code': 94576004525198064, 'n': 14, 'trace_an': 0}
-
id: 253131014
{'hecke_orbit_code': 94576004525198064, 'n': 15, 'trace_an': 0}
-
id: 253131015
{'hecke_orbit_code': 94576004525198064, 'n': 16, 'trace_an': 0}
-
id: 253131016
{'hecke_orbit_code': 94576004525198064, 'n': 17, 'trace_an': 0}
-
id: 253131017
{'hecke_orbit_code': 94576004525198064, 'n': 18, 'trace_an': 0}
-
id: 253131018
{'hecke_orbit_code': 94576004525198064, 'n': 19, 'trace_an': 6}
-
id: 253131019
{'hecke_orbit_code': 94576004525198064, 'n': 20, 'trace_an': 0}
-
id: 253131020
{'hecke_orbit_code': 94576004525198064, 'n': 21, 'trace_an': 2}
-
id: 253131021
{'hecke_orbit_code': 94576004525198064, 'n': 22, 'trace_an': 0}
-
id: 253131022
{'hecke_orbit_code': 94576004525198064, 'n': 23, 'trace_an': 0}
-
id: 253131023
{'hecke_orbit_code': 94576004525198064, 'n': 24, 'trace_an': 0}
-
id: 253131024
{'hecke_orbit_code': 94576004525198064, 'n': 25, 'trace_an': 0}
-
id: 253131025
{'hecke_orbit_code': 94576004525198064, 'n': 26, 'trace_an': 0}
-
id: 253131026
{'hecke_orbit_code': 94576004525198064, 'n': 27, 'trace_an': 0}
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