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{'Nk2': 33880, 'analytic_conductor': 67.63329051202449, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [7, -1], [11, 1]], 'atkin_lehner_string': '-+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8470, 1, [6777, 6051, 7141], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-3, 0, 1]], [13, [13, 8, 1]], [17, [-2, -2, 1]], [19, [1, 4, 1]]], 'hecke_orbit': 52, 'hecke_orbit_code': 229683581029458198, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8470.2.a.bz', 'level': 8470, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7, 11], 'level_radical': 770, 'minimal_twist': '8470.2.a.bm', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+\\beta q^{3}+q^{4}-q^{5}+\\beta q^{6}+q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8470.2.a', 'trace_display': [2, 0, -2, 2], 'trace_hash': 1204418999233241757, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.034', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.474', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.342', 'prec': 17}, {'__RealLiteral__': 0, 'data': '75.850', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [2, 2, 0, 2, -2, 0, 2, 2, 0, -2, 0, 0, -8, 2, 0, 2, 2, 0, -4, -2, 0, 0, -10, 0, 2, -8, 0, 2, 16, 0, -2, 2, 0, 2, -2, 0, 12, -4, -6, -2, -2, 0, -14, 0, 0, -10, -6, 0, 2, 2, -6, -8, -2, 0, 0, 2, 6, 16, -18, 0, 8, -2, 0, 2, 8, 0, -2, 2, 0, -2, 0, 0, -6, 12, 0, -4, 0, -6, -14, -2, -18, -2, 10, 0, -2, -14, 0, 0, -10, 0, -8, -10, -6, -6, 4, 0, 8, 2, 0, 2, -30, -6, -18, -8, 0, -2, 4, 0, 2, 0, 0, 2, -4, 6, 10, 16, 0, -18, 2, 0, 0, 8, -18, -2, -2, 0, 12, 2, 6, 8, -16, 0, -4, -2, 0, 2, 12, 0, -24, -2, -6, 0, 0, 0, -16, -6, 0, 12, 32, 0, -10, -4, 0, 0, 2, -6, 10, -14, -18, -2, -10, -18, 20, -2, 0, 10, -18, 0, 12, -2, 0, -14, -12, 0, 2, 0, 12, -10, -22, 0, -28, -8, -24, -10, -12, -6, 0, -6, 0, 4, 0, 0, 2, 8, 6, 2, -12, 0, -8, 2, -30, -30, 16, -6, 2, -18, 0, -8, 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{'AL_dims': [[[[2, -1], [5, -1], [7, -1], [11, -1]], 10, 6], [[[2, 1], [5, -1], [7, 1], [11, 1]], 13, 3], [[[2, -1], [5, 1], [7, 1], [11, 1]], 17, 4], [[[2, -1], [5, -1], [7, 1], [11, 1]], 12, 3], [[[2, 1], [5, -1], [7, -1], [11, -1]], 15, 6], [[[2, 1], [5, 1], [7, -1], [11, -1]], 15, 6], [[[2, -1], [5, 1], [7, 1], [11, -1]], 10, 7], [[[2, -1], [5, -1], [7, 1], [11, -1]], 15, 7], [[[2, -1], [5, -1], [7, -1], [11, 1]], 17, 4], [[[2, 1], [5, -1], [7, 1], [11, -1]], 15, 7], [[[2, 1], [5, 1], [7, 1], [11, -1]], 15, 7], [[[2, 1], [5, 1], [7, 1], [11, 1]], 12, 6], [[[2, -1], [5, 1], [7, -1], [11, -1]], 15, 7], [[[2, -1], [5, 1], [7, -1], [11, 1]], 12, 5], [[[2, 1], [5, 1], [7, -1], [11, 1]], 13, 5], [[[2, 1], [5, -1], [7, -1], [11, 1]], 12, 3]], 'ALdims': [12, 15, 13, 15, 13, 15, 12, 15, 17, 10, 12, 15, 12, 15, 17, 10], 'Nk2': 33880, 'analytic_conductor': 67.63329051202449, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8470, 1, [6777, 6051, 7141], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1537, 'dim': 218, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 13, 17, 19], 'hecke_orbit_code': 33562902, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8], 'label': '8470.2.a', 'level': 8470, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7, 11], 'level_radical': 770, 'mf_dim': 1632, 'mf_new_dim': 218, 'num_forms': 86, 'plus_dim': 98, 'prim_orbit_index': 1, 'relative_dim': 218, 'sturm_bound': 3168, 'trace_bound': 13, 'trace_display': [-2, -4, 0, 0], 'traces': [218, -2, -4, 218, 0, -4, 0, -2, 210, 0, 0, -4, -8, 0, -4, 218, -4, -10, -4, 0, 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mf_twists_cc • Show schema
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id: 49052409
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 229683581029458198, 'source_is_minimal': True, 'source_label': '8470.2.a.bz.1.1', 'source_level': 8470, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 229683581029458198, 'target_is_minimal': True, 'target_label': '8470.2.a.bz.1.1', 'target_level': 8470, 'twist_class_label': '8470.2.a.bm.1.1', 'twist_class_level': 8470, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49052410
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 229683581029458198, 'source_is_minimal': True, 'source_label': '8470.2.a.bz.1.1', 'source_level': 8470, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 171136785873641750, 'target_is_minimal': True, 'target_label': '8470.2.a.bm.1.1', 'target_level': 8470, 'twist_class_label': '8470.2.a.bm.1.1', 'twist_class_level': 8470, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4764225
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 229683581029458198, 'p': 2}
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id: 4764226
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 229683581029458198, 'p': 3}
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id: 4764227
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 229683581029458198, 'p': 5}
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id: 4764228
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 229683581029458198, 'p': 7}
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id: 4764229
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 229683581029458198, 'p': 11}
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id: 4764230
{'charpoly_factorization': [[[13, 8, 1], 1]], 'hecke_orbit_code': 229683581029458198, 'p': 13}
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id: 4764231
{'charpoly_factorization': [[[-2, -2, 1], 1]], 'hecke_orbit_code': 229683581029458198, 'p': 17}
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id: 4764232
{'charpoly_factorization': [[[1, 4, 1], 1]], 'hecke_orbit_code': 229683581029458198, 'p': 19}
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id: 4764233
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 229683581029458198, 'p': 23}
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id: 4764234
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 229683581029458198, 'p': 29}
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id: 4764235
{'charpoly_factorization': [[[-2, 2, 1], 1]], 'hecke_orbit_code': 229683581029458198, 'p': 31}
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id: 4764236
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 229683581029458198, 'p': 37}
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id: 4764237
{'charpoly_factorization': [[[-26, 2, 1], 1]], 'hecke_orbit_code': 229683581029458198, 'p': 41}
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id: 4764238
{'charpoly_factorization': [[[46, 14, 1], 1]], 'hecke_orbit_code': 229683581029458198, 'p': 43}
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id: 4764239
{'charpoly_factorization': [[[6, 6, 1], 1]], 'hecke_orbit_code': 229683581029458198, 'p': 47}
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id: 4764240
{'charpoly_factorization': [[[-26, 2, 1], 1]], 'hecke_orbit_code': 229683581029458198, 'p': 53}
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id: 4764241
{'charpoly_factorization': [[[69, 18, 1], 1]], 'hecke_orbit_code': 229683581029458198, 'p': 59}
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id: 4764242
{'charpoly_factorization': [[[-32, -8, 1], 1]], 'hecke_orbit_code': 229683581029458198, 'p': 61}
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id: 4764243
{'charpoly_factorization': [[[-74, 2, 1], 1]], 'hecke_orbit_code': 229683581029458198, 'p': 67}
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id: 4764244
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 229683581029458198, 'p': 71}
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id: 4764245
{'charpoly_factorization': [[[-138, 6, 1], 1]], 'hecke_orbit_code': 229683581029458198, 'p': 73}
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id: 4764246
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 229683581029458198, 'p': 79}
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id: 4764247
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 229683581029458198, 'p': 83}
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id: 4764248
{'charpoly_factorization': [[[-50, 10, 1], 1]], 'hecke_orbit_code': 229683581029458198, 'p': 89}
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id: 4764249
{'charpoly_factorization': [[[-32, -8, 1], 1]], 'hecke_orbit_code': 229683581029458198, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 52, 'label': '8470.2.a.bz', 'level': 8470, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 277834000
{'hecke_orbit_code': 229683581029458198, 'n': 1, 'trace_an': 2}
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id: 277834001
{'hecke_orbit_code': 229683581029458198, 'n': 2, 'trace_an': 2}
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id: 277834002
{'hecke_orbit_code': 229683581029458198, 'n': 3, 'trace_an': 0}
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id: 277834003
{'hecke_orbit_code': 229683581029458198, 'n': 4, 'trace_an': 2}
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id: 277834004
{'hecke_orbit_code': 229683581029458198, 'n': 5, 'trace_an': -2}
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id: 277834005
{'hecke_orbit_code': 229683581029458198, 'n': 6, 'trace_an': 0}
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id: 277834006
{'hecke_orbit_code': 229683581029458198, 'n': 7, 'trace_an': 2}
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id: 277834007
{'hecke_orbit_code': 229683581029458198, 'n': 8, 'trace_an': 2}
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{'hecke_orbit_code': 229683581029458198, 'n': 986, 'trace_an': 16}
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id: 277834986
{'hecke_orbit_code': 229683581029458198, 'n': 987, 'trace_an': -6}
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id: 277834987
{'hecke_orbit_code': 229683581029458198, 'n': 988, 'trace_an': 10}
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id: 277834988
{'hecke_orbit_code': 229683581029458198, 'n': 989, 'trace_an': 70}
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id: 277834989
{'hecke_orbit_code': 229683581029458198, 'n': 990, 'trace_an': 0}
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id: 277834990
{'hecke_orbit_code': 229683581029458198, 'n': 991, 'trace_an': -28}
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id: 277834991
{'hecke_orbit_code': 229683581029458198, 'n': 992, 'trace_an': -2}
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id: 277834992
{'hecke_orbit_code': 229683581029458198, 'n': 993, 'trace_an': 66}
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id: 277834993
{'hecke_orbit_code': 229683581029458198, 'n': 994, 'trace_an': 0}
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id: 277834994
{'hecke_orbit_code': 229683581029458198, 'n': 995, 'trace_an': 8}
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id: 277834995
{'hecke_orbit_code': 229683581029458198, 'n': 996, 'trace_an': 0}
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id: 277834996
{'hecke_orbit_code': 229683581029458198, 'n': 997, 'trace_an': 60}
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id: 277834997
{'hecke_orbit_code': 229683581029458198, 'n': 998, 'trace_an': -44}
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id: 277834998
{'hecke_orbit_code': 229683581029458198, 'n': 999, 'trace_an': 0}
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id: 277834999
{'hecke_orbit_code': 229683581029458198, 'n': 1000, 'trace_an': -2}