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mf_newforms • Show schema
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{'Nk2': 12480, 'analytic_conductor': 24.91332543063948, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 2, 'char_parity': 1, 'char_values': [3120, 2, [1951, 2341, 2081, 2497, 2641], [2, 2, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 1249, 'conrey_indexes': [1249], 'dim': 8, 'field_disc': 1698758656, 'field_disc_factorization': [[2, 16], [7, 2], [23, 2]], 'field_poly': [64, 0, 176, 0, 97, 0, 18, 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': [[7, [8, 0, 1]], [11, [8, 24, 6, -8, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63051150730988592, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 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mf_hecke_cc • Show schema
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'dual_conrey_index': 1249, 'dual_embedding_index': 3, 'dual_embedding_m': 3, 'embedding_index': 7, 'embedding_m': 7, 'embedding_root_imag': 1.692297309924756, 'embedding_root_real': 0.0, 'hecke_orbit': 15, 'hecke_orbit_code': 63051150730988592, 'label': '3120.2.l.o.1249.7', 'level': 3120, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 12480, 'analytic_conductor': 24.91332543063948, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 2, 'char_parity': 1, 'char_values': [3120, 2, [1951, 2341, 2081, 2497, 2641], [2, 2, 2, 1, 2]], 'conrey_index': 1249, 'cusp_dim': 648, 'dim': 72, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 755947801648, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 6, 8, 8, 10, 10], 'label': '3120.2.l', 'level': 3120, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 696, 'mf_new_dim': 72, 'num_forms': 17, 'prim_orbit_index': 2, 'relative_dim': 72, 'sturm_bound': 1344, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -16, 0, 0, 0, 48, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 47876181
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1249, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 63051150730988592, 'source_is_minimal': False, 'source_label': '3120.2.l.o.1249.7', 'source_level': 3120, 'target_conrey_index': 1249, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 63051150730988592, 'target_is_minimal': False, 'target_label': '3120.2.l.o.1249.7', 'target_level': 3120, 'twist_class_label': '1560.2.l.e.1249.3', 'twist_class_level': 1560, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47876182
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1249, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 63051150730988592, 'source_is_minimal': False, 'source_label': '3120.2.l.o.1249.7', 'source_level': 3120, 'target_conrey_index': 1249, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18015154457282072, 'target_is_minimal': True, 'target_label': '1560.2.l.e.1249.3', 'target_level': 1560, 'twist_class_label': '1560.2.l.e.1249.3', 'twist_class_level': 1560, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47876183
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1249, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 63051150730988592, 'source_is_minimal': False, 'source_label': '3120.2.l.o.1249.7', 'source_level': 3120, 'target_conrey_index': 1249, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 63051150730988592, 'target_is_minimal': False, 'target_label': '3120.2.l.o.1249.3', 'target_level': 3120, 'twist_class_label': '1560.2.l.e.1249.3', 'twist_class_level': 1560, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47876184
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1249, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 63051150730988592, 'source_is_minimal': False, 'source_label': '3120.2.l.o.1249.7', 'source_level': 3120, 'target_conrey_index': 2809, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518754084655688, 'target_is_minimal': False, 'target_label': '4680.2.l.f.2809.4', 'target_level': 4680, 'twist_class_label': '1560.2.l.e.1249.3', 'twist_class_level': 1560, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47876185
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1249, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 63051150730988592, 'source_is_minimal': False, 'source_label': '3120.2.l.o.1249.7', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 216172782147346040, 'target_is_minimal': False, 'target_label': '7800.2.a.bw.1.1', 'target_level': 7800, 'twist_class_label': '1560.2.l.e.1249.3', 'twist_class_level': 1560, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47876186
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1249, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 63051150730988592, 'source_is_minimal': False, 'source_label': '3120.2.l.o.1249.7', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 211669182519975544, 'target_is_minimal': False, 'target_label': '7800.2.a.bv.1.3', 'target_level': 7800, 'twist_class_label': '1560.2.l.e.1249.3', 'twist_class_level': 1560, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47876187
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1249, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 63051150730988592, 'source_is_minimal': False, 'source_label': '3120.2.l.o.1249.7', 'source_level': 3120, 'target_conrey_index': 1249, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 18015154457282072, 'target_is_minimal': True, 'target_label': '1560.2.l.e.1249.7', 'target_level': 1560, 'twist_class_label': '1560.2.l.e.1249.3', 'twist_class_level': 1560, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47876188
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1249, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 63051150730988592, 'source_is_minimal': False, 'source_label': '3120.2.l.o.1249.7', 'source_level': 3120, 'target_conrey_index': 2809, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518754084655688, 'target_is_minimal': False, 'target_label': '4680.2.l.f.2809.3', 'target_level': 4680, 'twist_class_label': '1560.2.l.e.1249.3', 'twist_class_level': 1560, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3015850
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 63051150730988592, 'p': 2}
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id: 3015851
{'charpoly_factorization': [[[1, 0, 1], 4]], 'hecke_orbit_code': 63051150730988592, 'p': 3}
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id: 3015852
{'charpoly_factorization': [[[625, 0, 50, -80, 2, -16, 2, 0, 1], 1]], 'hecke_orbit_code': 63051150730988592, 'p': 5}
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id: 3015853
{'charpoly_factorization': [[[8, 0, 1], 4]], 'hecke_orbit_code': 63051150730988592, 'p': 7}
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id: 3015854
{'charpoly_factorization': [[[8, 24, 6, -8, 1], 2]], 'hecke_orbit_code': 63051150730988592, 'p': 11}
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id: 3015855
{'charpoly_factorization': [[[1, 0, 1], 4]], 'hecke_orbit_code': 63051150730988592, 'p': 13}
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id: 3015856
{'charpoly_factorization': [[[50176, 0, 30464, 0, 3280, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 63051150730988592, 'p': 17}
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id: 3015857
{'charpoly_factorization': [[[-448, -224, 12, 12, 1], 2]], 'hecke_orbit_code': 63051150730988592, 'p': 19}
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id: 3015858
{'charpoly_factorization': [[[50176, 0, 30464, 0, 3280, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 63051150730988592, 'p': 23}
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id: 3015859
{'charpoly_factorization': [[[-4, 4, 1], 4]], 'hecke_orbit_code': 63051150730988592, 'p': 29}
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id: 3015860
{'charpoly_factorization': [[[-16, -8, 1], 4]], 'hecke_orbit_code': 63051150730988592, 'p': 31}
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id: 3015861
{'charpoly_factorization': [[[256, 0, 145920, 0, 8416, 0, 160, 0, 1], 1]], 'hecke_orbit_code': 63051150730988592, 'p': 37}
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id: 3015862
{'charpoly_factorization': [[[-8, -56, -14, 4, 1], 2]], 'hecke_orbit_code': 63051150730988592, 'p': 41}
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id: 3015863
{'charpoly_factorization': [[[262144, 0, 77824, 0, 6672, 0, 152, 0, 1], 1]], 'hecke_orbit_code': 63051150730988592, 'p': 43}
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id: 3015864
{'charpoly_factorization': [[[1048576, 0, 200704, 0, 11140, 0, 204, 0, 1], 1]], 'hecke_orbit_code': 63051150730988592, 'p': 47}
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id: 3015865
{'charpoly_factorization': [[[246016, 0, 104960, 0, 7392, 0, 160, 0, 1], 1]], 'hecke_orbit_code': 63051150730988592, 'p': 53}
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id: 3015866
{'charpoly_factorization': [[[8, -24, 6, 8, 1], 2]], 'hecke_orbit_code': 63051150730988592, 'p': 59}
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id: 3015867
{'charpoly_factorization': [[[-1472, 736, -44, -12, 1], 2]], 'hecke_orbit_code': 63051150730988592, 'p': 61}
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id: 3015868
{'charpoly_factorization': [[[16384, 0, 38912, 0, 15168, 0, 304, 0, 1], 1]], 'hecke_orbit_code': 63051150730988592, 'p': 67}
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id: 3015869
{'charpoly_factorization': [[[512, 576, -46, -12, 1], 2]], 'hecke_orbit_code': 63051150730988592, 'p': 71}
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id: 3015870
{'charpoly_factorization': [[[25080064, 0, 1711616, 0, 39392, 0, 352, 0, 1], 1]], 'hecke_orbit_code': 63051150730988592, 'p': 73}
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id: 3015871
{'charpoly_factorization': [[[6272, -896, -132, 12, 1], 2]], 'hecke_orbit_code': 63051150730988592, 'p': 79}
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id: 3015872
{'charpoly_factorization': [[[19219456, 0, 4186496, 0, 92420, 0, 556, 0, 1], 1]], 'hecke_orbit_code': 63051150730988592, 'p': 83}
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id: 3015873
{'charpoly_factorization': [[[184, 1288, -190, -4, 1], 2]], 'hecke_orbit_code': 63051150730988592, 'p': 89}
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id: 3015874
{'charpoly_factorization': [[[256, 0, 145920, 0, 8416, 0, 160, 0, 1], 1]], 'hecke_orbit_code': 63051150730988592, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 12, 'hecke_orbit': 15, 'label': '3120.2.l.o', 'level': 3120, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 233828000
{'hecke_orbit_code': 63051150730988592, 'n': 1, 'trace_an': 8}
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id: 233828001
{'hecke_orbit_code': 63051150730988592, 'n': 2, 'trace_an': 0}
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id: 233828002
{'hecke_orbit_code': 63051150730988592, 'n': 3, 'trace_an': 0}
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id: 233828003
{'hecke_orbit_code': 63051150730988592, 'n': 4, 'trace_an': 0}
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id: 233828004
{'hecke_orbit_code': 63051150730988592, 'n': 5, 'trace_an': 0}
-
id: 233828005
{'hecke_orbit_code': 63051150730988592, 'n': 6, 'trace_an': 0}
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id: 233828006
{'hecke_orbit_code': 63051150730988592, 'n': 7, 'trace_an': 0}
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id: 233828007
{'hecke_orbit_code': 63051150730988592, 'n': 8, 'trace_an': 0}
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id: 233828008
{'hecke_orbit_code': 63051150730988592, 'n': 9, 'trace_an': -8}
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id: 233828009
{'hecke_orbit_code': 63051150730988592, 'n': 10, 'trace_an': 0}
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id: 233828010
{'hecke_orbit_code': 63051150730988592, 'n': 11, 'trace_an': 16}
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id: 233828011
{'hecke_orbit_code': 63051150730988592, 'n': 12, 'trace_an': 0}
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id: 233828012
{'hecke_orbit_code': 63051150730988592, 'n': 13, 'trace_an': 0}
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id: 233828013
{'hecke_orbit_code': 63051150730988592, 'n': 14, 'trace_an': 0}
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id: 233828014
{'hecke_orbit_code': 63051150730988592, 'n': 15, 'trace_an': 4}
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id: 233828015
{'hecke_orbit_code': 63051150730988592, 'n': 16, 'trace_an': 0}
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id: 233828016
{'hecke_orbit_code': 63051150730988592, 'n': 17, 'trace_an': 0}
-
id: 233828017
{'hecke_orbit_code': 63051150730988592, 'n': 18, 'trace_an': 0}
-
id: 233828018
{'hecke_orbit_code': 63051150730988592, 'n': 19, 'trace_an': -24}
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id: 233828019
{'hecke_orbit_code': 63051150730988592, 'n': 20, 'trace_an': 0}
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id: 233828020
{'hecke_orbit_code': 63051150730988592, 'n': 21, 'trace_an': 0}
-
id: 233828021
{'hecke_orbit_code': 63051150730988592, 'n': 22, 'trace_an': 0}
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id: 233828022
{'hecke_orbit_code': 63051150730988592, 'n': 23, 'trace_an': 0}
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id: 233828023
{'hecke_orbit_code': 63051150730988592, 'n': 24, 'trace_an': 0}
-
id: 233828024
{'hecke_orbit_code': 63051150730988592, 'n': 25, 'trace_an': -4}
-
id: 233828025
{'hecke_orbit_code': 63051150730988592, 'n': 26, 'trace_an': 0}
-
id: 233828026
{'hecke_orbit_code': 63051150730988592, 'n': 27, 'trace_an': 0}
-
id: 233828027
{'hecke_orbit_code': 63051150730988592, 'n': 28, 'trace_an': 0}
-
id: 233828028
{'hecke_orbit_code': 63051150730988592, 'n': 29, 'trace_an': -16}
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id: 233828029
{'hecke_orbit_code': 63051150730988592, 'n': 30, 'trace_an': 0}
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id: 233828030
{'hecke_orbit_code': 63051150730988592, 'n': 31, 'trace_an': 32}
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