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mf_newforms • Show schema
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{'Nk2': 3280, 'analytic_conductor': 6.547732965744991, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 820, 'char_degree': 8, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 39, 'char_orbit_label': 'bm', 'char_order': 20, 'char_parity': 1, 'char_values': [820, 20, [411, 657, 621], [10, 15, 18]], 'cm_discs': [-4], 'conrey_index': 23, 'dim': 8, 'field_disc': 4000000, 'field_disc_factorization': [[2, 8], [5, 6]], 'field_poly': [1, 0, -1, 0, 1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 20, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [0, 1]], [13, [9025, -22800, 17425, -4550, 1660, -260, 50, -10, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4506211001041716, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, -4], [1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3280, 'analytic_conductor': 6.547732965744991, 'char_conductor': 820, 'char_degree': 8, 'char_is_real': False, 'char_orbit_index': 39, 'char_orbit_label': 'bm', 'char_order': 20, 'char_parity': 1, 'char_values': [820, 20, [411, 657, 621], [10, 15, 18]], 'conrey_index': 23, 'cusp_dim': 976, 'dim': 976, 'eis_dim': 64, 'eis_new_dim': 64, 'hecke_cutter_primes': [3, 13], 'hecke_orbit_code': 2611373671220, 'hecke_orbit_dims': [8, 8, 960], 'label': '820.2.bm', 'level': 820, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 41], 'level_radical': 410, 'mf_dim': 1040, 'mf_new_dim': 1040, 'num_forms': 3, 'prim_orbit_index': 39, 'relative_dim': 122, 'sturm_bound': 252, 'trace_bound': 13, 'trace_display': [-6, 0, -12, 0], 'traces': [976, -6, 0, 0, -12, -20, 0, 6, 0, 18, 0, 20, -20, 0, 0, -12, -20, -12, 0, -22, -8, -10, 0, 0, -32, -20, 0, -10, 0, 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mf_twists_cc • Show schema
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id: 39262122
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 523, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506211001041716, 'source_is_minimal': True, 'source_label': '820.2.bm.b.523.1', 'source_level': 820, 'target_conrey_index': 523, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506211001041716, 'target_is_minimal': True, 'target_label': '820.2.bm.b.523.1', 'target_level': 820, 'twist_class_label': '820.2.bm.a.687.1', 'twist_class_level': 820, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 39262123
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 523, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506211001041716, 'source_is_minimal': True, 'source_label': '820.2.bm.b.523.1', 'source_level': 820, 'target_conrey_index': 523, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506211001041716, 'target_is_minimal': True, 'target_label': '820.2.bm.b.523.1', 'target_level': 820, 'twist_class_label': '820.2.bm.a.687.1', 'twist_class_level': 820, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 39262124
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 523, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506211001041716, 'source_is_minimal': True, 'source_label': '820.2.bm.b.523.1', 'source_level': 820, 'target_conrey_index': 687, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2611373671220, 'target_is_minimal': True, 'target_label': '820.2.bm.a.687.1', 'target_level': 820, 'twist_class_label': '820.2.bm.a.687.1', 'twist_class_level': 820, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 39262125
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 523, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506211001041716, 'source_is_minimal': True, 'source_label': '820.2.bm.b.523.1', 'source_level': 820, 'target_conrey_index': 687, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2611373671220, 'target_is_minimal': True, 'target_label': '820.2.bm.a.687.1', 'target_level': 820, 'twist_class_label': '820.2.bm.a.687.1', 'twist_class_level': 820, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 39262126
{'conductor': 41, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 523, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506211001041716, 'source_is_minimal': True, 'source_label': '820.2.bm.b.523.1', 'source_level': 820, 'target_conrey_index': 783, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2611373671220, 'target_is_minimal': True, 'target_label': '820.2.bm.a.783.1', 'target_level': 820, 'twist_class_label': '820.2.bm.a.687.1', 'twist_class_level': 820, 'twisting_char_label': '41.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 39262127
{'conductor': 164, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 523, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506211001041716, 'source_is_minimal': True, 'source_label': '820.2.bm.b.523.1', 'source_level': 820, 'target_conrey_index': 783, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2611373671220, 'target_is_minimal': True, 'target_label': '820.2.bm.a.783.1', 'target_level': 820, 'twist_class_label': '820.2.bm.a.687.1', 'twist_class_level': 820, 'twisting_char_label': '164.127', 'twisting_conrey_index': 127, 'weight': 2}
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id: 39262128
{'conductor': 205, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 523, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506211001041716, 'source_is_minimal': True, 'source_label': '820.2.bm.b.523.1', 'source_level': 820, 'target_conrey_index': 127, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506211001041716, 'target_is_minimal': True, 'target_label': '820.2.bm.b.127.1', 'target_level': 820, 'twist_class_label': '820.2.bm.a.687.1', 'twist_class_level': 820, 'twisting_char_label': '205.127', 'twisting_conrey_index': 127, 'weight': 2}
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id: 39262129
{'conductor': 820, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 523, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506211001041716, 'source_is_minimal': True, 'source_label': '820.2.bm.b.523.1', 'source_level': 820, 'target_conrey_index': 127, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506211001041716, 'target_is_minimal': True, 'target_label': '820.2.bm.b.127.1', 'target_level': 820, 'twist_class_label': '820.2.bm.a.687.1', 'twist_class_level': 820, 'twisting_char_label': '820.127', 'twisting_conrey_index': 127, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1372950
{'charpoly_factorization': [[[16, -16, 8, 0, -4, 0, 2, -2, 1], 1]], 'hecke_orbit_code': 4506211001041716, 'p': 2}
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id: 1372951
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506211001041716, 'p': 3}
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id: 1372952
{'charpoly_factorization': [[[625, 500, 275, 120, 41, 24, 11, 4, 1], 1]], 'hecke_orbit_code': 4506211001041716, 'p': 5}
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id: 1372953
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506211001041716, 'p': 7}
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id: 1372954
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506211001041716, 'p': 11}
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id: 1372955
{'charpoly_factorization': [[[9025, -22800, 17425, -4550, 1660, -260, 50, -10, 1], 1]], 'hecke_orbit_code': 4506211001041716, 'p': 13}
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id: 1372956
{'charpoly_factorization': [[[93025, -100650, 35325, -5950, 560, 170, 50, 10, 1], 1]], 'hecke_orbit_code': 4506211001041716, 'p': 17}
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id: 1372957
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506211001041716, 'p': 19}
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id: 1372958
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506211001041716, 'p': 23}
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id: 1372959
{'charpoly_factorization': [[[10000, 1000, 100, 10, 1], 2]], 'hecke_orbit_code': 4506211001041716, 'p': 29}
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id: 1372960
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506211001041716, 'p': 31}
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id: 1372961
{'charpoly_factorization': [[[2825761, 114308, -266838, -35740, 8816, 610, 183, 4, 1], 1]], 'hecke_orbit_code': 4506211001041716, 'p': 37}
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id: 1372962
{'charpoly_factorization': [[[2825761, -551368, 38663, 5904, -2095, 144, 23, -8, 1], 1]], 'hecke_orbit_code': 4506211001041716, 'p': 41}
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id: 1372963
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506211001041716, 'p': 43}
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id: 1372964
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506211001041716, 'p': 47}
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id: 1372965
{'charpoly_factorization': [[[10857025, -5140200, 3184425, 193450, -27940, 1060, 50, -10, 1], 1]], 'hecke_orbit_code': 4506211001041716, 'p': 53}
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id: 1372966
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506211001041716, 'p': 59}
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id: 1372967
{'charpoly_factorization': [[[20967241, 934116, 1017277, -139272, 9130, 3252, 432, 24, 1], 1]], 'hecke_orbit_code': 4506211001041716, 'p': 61}
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id: 1372968
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506211001041716, 'p': 67}
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id: 1372969
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506211001041716, 'p': 71}
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id: 1372970
{'charpoly_factorization': [[[9740641, 8445426, 3661218, 401500, 21371, 0, 242, 22, 1], 1]], 'hecke_orbit_code': 4506211001041716, 'p': 73}
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id: 1372971
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506211001041716, 'p': 79}
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id: 1372972
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506211001041716, 'p': 83}
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id: 1372973
{'charpoly_factorization': [[[10000, -1000, 100, -10, 1], 2]], 'hecke_orbit_code': 4506211001041716, 'p': 89}
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id: 1372974
{'charpoly_factorization': [[[639837025, 340470700, 68651550, 7291450, 560960, 33890, 1575, 50, 1], 1]], 'hecke_orbit_code': 4506211001041716, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 39, 'hecke_orbit': 2, 'label': '820.2.bm.b', 'level': 820, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 25439035
{'hecke_orbit_code': 4506211001041716, 'n': 1, 'trace_an': 8}
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id: 25439036
{'hecke_orbit_code': 4506211001041716, 'n': 2, 'trace_an': 2}
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id: 25439037
{'hecke_orbit_code': 4506211001041716, 'n': 3, 'trace_an': 0}
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id: 25439038
{'hecke_orbit_code': 4506211001041716, 'n': 4, 'trace_an': 0}
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id: 25439039
{'hecke_orbit_code': 4506211001041716, 'n': 5, 'trace_an': -4}
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id: 25439040
{'hecke_orbit_code': 4506211001041716, 'n': 6, 'trace_an': 0}
-
id: 25439041
{'hecke_orbit_code': 4506211001041716, 'n': 7, 'trace_an': 0}
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id: 25439042
{'hecke_orbit_code': 4506211001041716, 'n': 8, 'trace_an': -4}
-
id: 25439043
{'hecke_orbit_code': 4506211001041716, 'n': 9, 'trace_an': 0}
-
id: 25439044
{'hecke_orbit_code': 4506211001041716, 'n': 10, 'trace_an': 6}
-
id: 25439045
{'hecke_orbit_code': 4506211001041716, 'n': 11, 'trace_an': 0}
-
id: 25439046
{'hecke_orbit_code': 4506211001041716, 'n': 12, 'trace_an': 0}
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id: 25439047
{'hecke_orbit_code': 4506211001041716, 'n': 13, 'trace_an': 10}
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id: 25439048
{'hecke_orbit_code': 4506211001041716, 'n': 14, 'trace_an': 0}
-
id: 25439049
{'hecke_orbit_code': 4506211001041716, 'n': 15, 'trace_an': 0}
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id: 25439050
{'hecke_orbit_code': 4506211001041716, 'n': 16, 'trace_an': 8}
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id: 25439051
{'hecke_orbit_code': 4506211001041716, 'n': 17, 'trace_an': -10}
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id: 25439052
{'hecke_orbit_code': 4506211001041716, 'n': 18, 'trace_an': -6}
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id: 25439053
{'hecke_orbit_code': 4506211001041716, 'n': 19, 'trace_an': 0}
-
id: 25439054
{'hecke_orbit_code': 4506211001041716, 'n': 20, 'trace_an': 16}
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id: 25439055
{'hecke_orbit_code': 4506211001041716, 'n': 21, 'trace_an': 0}
-
id: 25439056
{'hecke_orbit_code': 4506211001041716, 'n': 22, 'trace_an': 0}
-
id: 25439057
{'hecke_orbit_code': 4506211001041716, 'n': 23, 'trace_an': 0}
-
id: 25439058
{'hecke_orbit_code': 4506211001041716, 'n': 24, 'trace_an': 0}
-
id: 25439059
{'hecke_orbit_code': 4506211001041716, 'n': 25, 'trace_an': -6}
-
id: 25439060
{'hecke_orbit_code': 4506211001041716, 'n': 26, 'trace_an': -10}
-
id: 25439061
{'hecke_orbit_code': 4506211001041716, 'n': 27, 'trace_an': 0}
-
id: 25439062
{'hecke_orbit_code': 4506211001041716, 'n': 28, 'trace_an': 0}
-
id: 25439063
{'hecke_orbit_code': 4506211001041716, 'n': 29, 'trace_an': -20}
-
id: 25439064
{'hecke_orbit_code': 4506211001041716, 'n': 30, 'trace_an': 0}
-
id: 25439065
{'hecke_orbit_code': 4506211001041716, 'n': 31, 'trace_an': 0}
-
id: 25439066
{'hecke_orbit_code': 4506211001041716, 'n': 32, 'trace_an': 32}
-
id: 25439067
{'hecke_orbit_code': 4506211001041716, 'n': 33, 'trace_an': 0}
-
id: 25439068
{'hecke_orbit_code': 4506211001041716, 'n': 34, 'trace_an': -30}
-
id: 25439069
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