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mf_newforms • Show schema
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{'Nk2': 9801, 'analytic_conductor': 29.673100788836333, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 3, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [1089, 2, [848, 244], [1, 2]], 'cm_discs': [], 'conrey_index': 485, 'conrey_indexes': [485], 'dim': 8, 'field_disc': 3317760000, 'field_disc_factorization': [[2, 16], [3, 4], [5, 4]], 'field_poly': [1, 0, 12, 0, 23, 0, 12, 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': [[2, [1, 0, 8, 0, 1]], [7, [4, 0, -16, 0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525266161402945, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 2, -1, 2, 0], 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mf_hecke_cc • Show schema
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0.3199179336182997, 'embedding_root_real': 0.0, 'hecke_orbit': 8, 'hecke_orbit_code': 31525266161402945, 'label': '1089.3.b.h.485.1', 'level': 1089, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 9801, 'analytic_conductor': 29.673100788836333, 'char_conductor': 3, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [1089, 2, [848, 244], [1, 2]], 'conrey_index': 485, 'cusp_dim': 240, 'dim': 72, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 68769809473, 'hecke_orbit_dims': [2, 2, 4, 4, 4, 8, 8, 8, 16, 16], 'label': '1089.3.b', 'level': 1089, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 11], 'level_radical': 33, 'mf_dim': 288, 'mf_new_dim': 72, 'num_forms': 10, 'prim_orbit_index': 2, 'relative_dim': 72, 'sturm_bound': 396, 'trace_bound': 7, 'trace_display': [0, 0, 0, -16], 'traces': [72, 0, 0, -144, 0, 0, -16, 0, 0, 48, 0, 0, 8, 0, 0, 216, 0, 0, -40, 0, 0, 0, 0, 0, -288, 0, 0, 32, 0, 0, 56, 0, 0, 200, 0, 0, -104, 0, 0, -432, 0, 0, 104, 0, 0, -24, 0, 0, 592, 0, 0, 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mf_twists_cc • Show schema
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id: 46224159
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 485, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525266161402945, 'source_is_minimal': True, 'source_label': '1089.3.b.h.485.1', 'source_level': 1089, 'target_conrey_index': 485, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525266161402945, 'target_is_minimal': True, 'target_label': '1089.3.b.h.485.1', 'target_level': 1089, 'twist_class_label': '1089.3.b.h.485.1', 'twist_class_level': 1089, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 46224160
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 485, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525266161402945, 'source_is_minimal': True, 'source_label': '1089.3.b.h.485.1', 'source_level': 1089, 'target_conrey_index': 485, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 31525266161402945, 'target_is_minimal': True, 'target_label': '1089.3.b.h.485.8', 'target_level': 1089, 'twist_class_label': '1089.3.b.h.485.1', 'twist_class_level': 1089, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 46224161
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 485, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525266161402945, 'source_is_minimal': True, 'source_label': '1089.3.b.h.485.1', 'source_level': 1089, 'target_conrey_index': 485, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 31525266161402945, 'target_is_minimal': True, 'target_label': '1089.3.b.h.485.7', 'target_level': 1089, 'twist_class_label': '1089.3.b.h.485.1', 'twist_class_level': 1089, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 3}
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id: 46224162
{'conductor': 33, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 485, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525266161402945, 'source_is_minimal': True, 'source_label': '1089.3.b.h.485.1', 'source_level': 1089, 'target_conrey_index': 485, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525266161402945, 'target_is_minimal': True, 'target_label': '1089.3.b.h.485.2', 'target_level': 1089, 'twist_class_label': '1089.3.b.h.485.1', 'twist_class_level': 1089, 'twisting_char_label': '33.32', 'twisting_conrey_index': 32, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 1673075
{'charpoly_factorization': [[[1, 0, 8, 0, 1], 2]], 'hecke_orbit_code': 31525266161402945, 'p': 2}
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id: 1673076
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 31525266161402945, 'p': 3}
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id: 1673077
{'charpoly_factorization': [[[49, 0, 16, 0, 1], 2]], 'hecke_orbit_code': 31525266161402945, 'p': 5}
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id: 1673078
{'charpoly_factorization': [[[4, 0, -16, 0, 1], 2]], 'hecke_orbit_code': 31525266161402945, 'p': 7}
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id: 1673079
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 31525266161402945, 'p': 11}
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id: 1673080
{'charpoly_factorization': [[[11025, 0, -510, 0, 1], 2]], 'hecke_orbit_code': 31525266161402945, 'p': 13}
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id: 1673081
{'charpoly_factorization': [[[121801, 0, 992, 0, 1], 2]], 'hecke_orbit_code': 31525266161402945, 'p': 17}
-
id: 1673082
{'charpoly_factorization': [[[7744, 0, -256, 0, 1], 2]], 'hecke_orbit_code': 31525266161402945, 'p': 19}
-
id: 1673083
{'charpoly_factorization': [[[964324, 0, 2356, 0, 1], 2]], 'hecke_orbit_code': 31525266161402945, 'p': 23}
-
id: 1673084
{'charpoly_factorization': [[[28561, 0, 1352, 0, 1], 2]], 'hecke_orbit_code': 31525266161402945, 'p': 29}
-
id: 1673085
{'charpoly_factorization': [[[-96, -24, 1], 4]], 'hecke_orbit_code': 31525266161402945, 'p': 31}
-
id: 1673086
{'charpoly_factorization': [[[-1211, -4, 1], 4]], 'hecke_orbit_code': 31525266161402945, 'p': 37}
-
id: 1673087
{'charpoly_factorization': [[[3455881, 0, 5408, 0, 1], 2]], 'hecke_orbit_code': 31525266161402945, 'p': 41}
-
id: 1673088
{'charpoly_factorization': [[[2439844, 0, -4096, 0, 1], 2]], 'hecke_orbit_code': 31525266161402945, 'p': 43}
-
id: 1673089
{'charpoly_factorization': [[[258064, 0, 1984, 0, 1], 2]], 'hecke_orbit_code': 31525266161402945, 'p': 47}
-
id: 1673090
{'charpoly_factorization': [[[23357889, 0, 9936, 0, 1], 2]], 'hecke_orbit_code': 31525266161402945, 'p': 53}
-
id: 1673091
{'charpoly_factorization': [[[30935844, 0, 12204, 0, 1], 2]], 'hecke_orbit_code': 31525266161402945, 'p': 59}
-
id: 1673092
{'charpoly_factorization': [[[4032064, 0, -4096, 0, 1], 2]], 'hecke_orbit_code': 31525266161402945, 'p': 61}
-
id: 1673093
{'charpoly_factorization': [[[-5886, -54, 1], 4]], 'hecke_orbit_code': 31525266161402945, 'p': 67}
-
id: 1673094
{'charpoly_factorization': [[[21883684, 0, 10924, 0, 1], 2]], 'hecke_orbit_code': 31525266161402945, 'p': 71}
-
id: 1673095
{'charpoly_factorization': [[[181494784, 0, -27136, 0, 1], 2]], 'hecke_orbit_code': 31525266161402945, 'p': 73}
-
id: 1673096
{'charpoly_factorization': [[[1710864, 0, -20616, 0, 1], 2]], 'hecke_orbit_code': 31525266161402945, 'p': 79}
-
id: 1673097
{'charpoly_factorization': [[[15085456, 0, 9728, 0, 1], 2]], 'hecke_orbit_code': 31525266161402945, 'p': 83}
-
id: 1673098
{'charpoly_factorization': [[[85849, 0, 4216, 0, 1], 2]], 'hecke_orbit_code': 31525266161402945, 'p': 89}
-
id: 1673099
{'charpoly_factorization': [[[1201, -88, 1], 4]], 'hecke_orbit_code': 31525266161402945, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 8, 'label': '1089.3.b.h', 'level': 1089, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 192827000
{'hecke_orbit_code': 31525266161402945, 'n': 1, 'trace_an': 8}
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id: 192827001
{'hecke_orbit_code': 31525266161402945, 'n': 2, 'trace_an': 0}
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id: 192827002
{'hecke_orbit_code': 31525266161402945, 'n': 3, 'trace_an': 0}
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id: 192827003
{'hecke_orbit_code': 31525266161402945, 'n': 4, 'trace_an': 0}
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id: 192827004
{'hecke_orbit_code': 31525266161402945, 'n': 5, 'trace_an': 0}
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id: 192827005
{'hecke_orbit_code': 31525266161402945, 'n': 6, 'trace_an': 0}
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id: 192827006
{'hecke_orbit_code': 31525266161402945, 'n': 7, 'trace_an': 0}
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id: 192827007
{'hecke_orbit_code': 31525266161402945, 'n': 8, 'trace_an': 0}
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id: 192827008
{'hecke_orbit_code': 31525266161402945, 'n': 9, 'trace_an': 0}
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id: 192827009
{'hecke_orbit_code': 31525266161402945, 'n': 10, 'trace_an': 0}
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id: 192827010
{'hecke_orbit_code': 31525266161402945, 'n': 11, 'trace_an': 0}
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id: 192827011
{'hecke_orbit_code': 31525266161402945, 'n': 12, 'trace_an': 0}
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id: 192827012
{'hecke_orbit_code': 31525266161402945, 'n': 13, 'trace_an': 0}
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id: 192827013
{'hecke_orbit_code': 31525266161402945, 'n': 14, 'trace_an': 0}
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id: 192827014
{'hecke_orbit_code': 31525266161402945, 'n': 15, 'trace_an': 0}
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id: 192827015
{'hecke_orbit_code': 31525266161402945, 'n': 16, 'trace_an': -8}
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id: 192827016
{'hecke_orbit_code': 31525266161402945, 'n': 17, 'trace_an': 0}
-
id: 192827017
{'hecke_orbit_code': 31525266161402945, 'n': 18, 'trace_an': 0}
-
id: 192827018
{'hecke_orbit_code': 31525266161402945, 'n': 19, 'trace_an': 0}
-
id: 192827019
{'hecke_orbit_code': 31525266161402945, 'n': 20, 'trace_an': 0}
-
id: 192827020
{'hecke_orbit_code': 31525266161402945, 'n': 21, 'trace_an': 0}
-
id: 192827021
{'hecke_orbit_code': 31525266161402945, 'n': 22, 'trace_an': 0}
-
id: 192827022
{'hecke_orbit_code': 31525266161402945, 'n': 23, 'trace_an': 0}
-
id: 192827023
{'hecke_orbit_code': 31525266161402945, 'n': 24, 'trace_an': 0}
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id: 192827024
{'hecke_orbit_code': 31525266161402945, 'n': 25, 'trace_an': 136}
-
id: 192827025
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