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mf_newforms • Show schema
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{'Nk2': 10944, 'analytic_conductor': 21.847069993022313, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 76, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 39, 'char_orbit_label': 'bm', 'char_order': 6, 'char_parity': 1, 'char_values': [2736, 6, [1711, 2053, 1217, 1009], [3, 6, 6, 1]], 'cm_discs': [], 'conrey_index': 559, 'conrey_indexes': [559, 1855], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [9, -3, 1]], [7, [12, 0, 1]], [11, [12, 0, 1]], [23, [27, 9, 1]], [31, [4, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31527808765266608, '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, 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mf_hecke_cc • Show schema
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0.8660254037844386, 'embedding_root_real': 0.5, 'hecke_orbit': 8, 'hecke_orbit_code': 31527808765266608, 'label': '2736.2.bm.h.559.1', 'level': 2736, 'weight': 2}
-
mf_newspaces • Show schema
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{'Nk2': 10944, 'analytic_conductor': 21.847069993022313, 'char_conductor': 76, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 39, 'char_orbit_label': 'bm', 'char_order': 6, 'char_parity': 1, 'char_values': [2736, 6, [1711, 2053, 1217, 1009], [3, 6, 6, 1]], 'conrey_index': 559, 'cusp_dim': 912, 'dim': 100, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 23, 31], 'hecke_orbit_code': 2611373673136, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8, 16], 'label': '2736.2.bm', 'level': 2736, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'mf_dim': 1008, 'mf_new_dim': 100, 'num_forms': 20, 'prim_orbit_index': 6, 'relative_dim': 50, 'sturm_bound': 960, 'trace_bound': 31, 'trace_display': [0, 0, 0, 0], 'traces': [100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 46433755
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 559, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31527808765266608, 'source_is_minimal': False, 'source_label': '2736.2.bm.h.559.1', 'source_level': 2736, 'target_conrey_index': 559, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31527808765266608, 'target_is_minimal': False, 'target_label': '2736.2.bm.h.559.1', 'target_level': 2736, 'twist_class_label': '304.2.n.a.31.1', 'twist_class_level': 304, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46433756
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 559, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31527808765266608, 'source_is_minimal': False, 'source_label': '2736.2.bm.h.559.1', 'source_level': 2736, 'target_conrey_index': 255, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504493014122800, 'target_is_minimal': True, 'target_label': '304.2.n.b.255.1', 'target_level': 304, 'twist_class_label': '304.2.n.a.31.1', 'twist_class_level': 304, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46433757
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 559, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31527808765266608, 'source_is_minimal': False, 'source_label': '2736.2.bm.h.559.1', 'source_level': 2736, 'target_conrey_index': 559, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27024209137896112, 'target_is_minimal': False, 'target_label': '2736.2.bm.g.559.1', 'target_level': 2736, 'twist_class_label': '304.2.n.a.31.1', 'twist_class_level': 304, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46433758
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 559, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31527808765266608, 'source_is_minimal': False, 'source_label': '2736.2.bm.h.559.1', 'source_level': 2736, 'target_conrey_index': 255, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752304, 'target_is_minimal': True, 'target_label': '304.2.n.a.255.1', 'target_level': 304, 'twist_class_label': '304.2.n.a.31.1', 'twist_class_level': 304, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46433759
{'conductor': 19, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 559, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31527808765266608, 'source_is_minimal': False, 'source_label': '2736.2.bm.h.559.1', 'source_level': 2736, 'target_conrey_index': 1855, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27024209137896112, 'target_is_minimal': False, 'target_label': '2736.2.bm.g.1855.1', 'target_level': 2736, 'twist_class_label': '304.2.n.a.31.1', 'twist_class_level': 304, 'twisting_char_label': '19.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 46433760
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 559, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31527808765266608, 'source_is_minimal': False, 'source_label': '2736.2.bm.h.559.1', 'source_level': 2736, 'target_conrey_index': 255, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386753216, 'target_is_minimal': False, 'target_label': '1216.2.n.a.255.1', 'target_level': 1216, 'twist_class_label': '304.2.n.a.31.1', 'twist_class_level': 304, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46433761
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 559, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31527808765266608, 'source_is_minimal': False, 'source_label': '2736.2.bm.h.559.1', 'source_level': 2736, 'target_conrey_index': 255, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504493014123712, 'target_is_minimal': False, 'target_label': '1216.2.n.b.255.1', 'target_level': 1216, 'twist_class_label': '304.2.n.a.31.1', 'twist_class_level': 304, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46433762
{'conductor': 57, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 559, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31527808765266608, 'source_is_minimal': False, 'source_label': '2736.2.bm.h.559.1', 'source_level': 2736, 'target_conrey_index': 31, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752304, 'target_is_minimal': True, 'target_label': '304.2.n.a.31.1', 'target_level': 304, 'twist_class_label': '304.2.n.a.31.1', 'twist_class_level': 304, 'twisting_char_label': '57.50', 'twisting_conrey_index': 50, 'weight': 2}
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id: 46433763
{'conductor': 76, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 559, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31527808765266608, 'source_is_minimal': False, 'source_label': '2736.2.bm.h.559.1', 'source_level': 2736, 'target_conrey_index': 1855, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31527808765266608, 'target_is_minimal': False, 'target_label': '2736.2.bm.h.1855.1', 'target_level': 2736, 'twist_class_label': '304.2.n.a.31.1', 'twist_class_level': 304, 'twisting_char_label': '76.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 46433764
{'conductor': 228, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 559, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31527808765266608, 'source_is_minimal': False, 'source_label': '2736.2.bm.h.559.1', 'source_level': 2736, 'target_conrey_index': 31, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504493014122800, 'target_is_minimal': True, 'target_label': '304.2.n.b.31.1', 'target_level': 304, 'twist_class_label': '304.2.n.a.31.1', 'twist_class_level': 304, 'twisting_char_label': '228.107', 'twisting_conrey_index': 107, 'weight': 2}
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id: 46433765
{'conductor': 456, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 559, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31527808765266608, 'source_is_minimal': False, 'source_label': '2736.2.bm.h.559.1', 'source_level': 2736, 'target_conrey_index': 639, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386753216, 'target_is_minimal': False, 'target_label': '1216.2.n.a.639.1', 'target_level': 1216, 'twist_class_label': '304.2.n.a.31.1', 'twist_class_level': 304, 'twisting_char_label': '456.107', 'twisting_conrey_index': 107, 'weight': 2}
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id: 46433766
{'conductor': 456, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 559, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31527808765266608, 'source_is_minimal': False, 'source_label': '2736.2.bm.h.559.1', 'source_level': 2736, 'target_conrey_index': 639, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504493014123712, 'target_is_minimal': False, 'target_label': '1216.2.n.b.639.1', 'target_level': 1216, 'twist_class_label': '304.2.n.a.31.1', 'twist_class_level': 304, 'twisting_char_label': '456.221', 'twisting_conrey_index': 221, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2824525
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31527808765266608, 'p': 2}
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id: 2824526
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31527808765266608, 'p': 3}
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id: 2824527
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 31527808765266608, 'p': 5}
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id: 2824528
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 31527808765266608, 'p': 7}
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id: 2824529
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 31527808765266608, 'p': 11}
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id: 2824530
{'charpoly_factorization': [[[27, 9, 1], 1]], 'hecke_orbit_code': 31527808765266608, 'p': 13}
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id: 2824531
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 31527808765266608, 'p': 17}
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id: 2824532
{'charpoly_factorization': [[[19, -8, 1], 1]], 'hecke_orbit_code': 31527808765266608, 'p': 19}
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id: 2824533
{'charpoly_factorization': [[[27, 9, 1], 1]], 'hecke_orbit_code': 31527808765266608, 'p': 23}
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id: 2824534
{'charpoly_factorization': [[[75, 15, 1], 1]], 'hecke_orbit_code': 31527808765266608, 'p': 29}
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id: 2824535
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 31527808765266608, 'p': 31}
-
id: 2824536
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31527808765266608, 'p': 37}
-
id: 2824537
{'charpoly_factorization': [[[75, 15, 1], 1]], 'hecke_orbit_code': 31527808765266608, 'p': 41}
-
id: 2824538
{'charpoly_factorization': [[[147, 21, 1], 1]], 'hecke_orbit_code': 31527808765266608, 'p': 43}
-
id: 2824539
{'charpoly_factorization': [[[3, -3, 1], 1]], 'hecke_orbit_code': 31527808765266608, 'p': 47}
-
id: 2824540
{'charpoly_factorization': [[[3, 3, 1], 1]], 'hecke_orbit_code': 31527808765266608, 'p': 53}
-
id: 2824541
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 31527808765266608, 'p': 59}
-
id: 2824542
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 31527808765266608, 'p': 61}
-
id: 2824543
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 31527808765266608, 'p': 67}
-
id: 2824544
{'charpoly_factorization': [[[81, 9, 1], 1]], 'hecke_orbit_code': 31527808765266608, 'p': 71}
-
id: 2824545
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 31527808765266608, 'p': 73}
-
id: 2824546
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 31527808765266608, 'p': 79}
-
id: 2824547
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 31527808765266608, 'p': 83}
-
id: 2824548
{'charpoly_factorization': [[[75, 15, 1], 1]], 'hecke_orbit_code': 31527808765266608, 'p': 89}
-
id: 2824549
{'charpoly_factorization': [[[75, -15, 1], 1]], 'hecke_orbit_code': 31527808765266608, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 39, 'hecke_orbit': 8, 'label': '2736.2.bm.h', 'level': 2736, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 194848000
{'hecke_orbit_code': 31527808765266608, 'n': 1, 'trace_an': 2}
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id: 194848001
{'hecke_orbit_code': 31527808765266608, 'n': 2, 'trace_an': 0}
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id: 194848002
{'hecke_orbit_code': 31527808765266608, 'n': 3, 'trace_an': 0}
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id: 194848003
{'hecke_orbit_code': 31527808765266608, 'n': 4, 'trace_an': 0}
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id: 194848004
{'hecke_orbit_code': 31527808765266608, 'n': 5, 'trace_an': 3}
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id: 194848005
{'hecke_orbit_code': 31527808765266608, 'n': 6, 'trace_an': 0}
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id: 194848006
{'hecke_orbit_code': 31527808765266608, 'n': 7, 'trace_an': 0}
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id: 194848007
{'hecke_orbit_code': 31527808765266608, 'n': 8, 'trace_an': 0}
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id: 194848008
{'hecke_orbit_code': 31527808765266608, 'n': 9, 'trace_an': 0}
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id: 194848009
{'hecke_orbit_code': 31527808765266608, 'n': 10, 'trace_an': 0}
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id: 194848010
{'hecke_orbit_code': 31527808765266608, 'n': 11, 'trace_an': 0}
-
id: 194848011
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