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{'Nk2': 33120, 'analytic_conductor': 66.11613287362016, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 1], [23, 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': [8280, 1, [2071, 4141, 4601, 1657, 3961], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [2, 1]], [11, [0, 1]], [13, [-1, 1]], [17, [0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915674200, 'hecke_ring_generator_nbound': 1, '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': False, 'label': '8280.2.a.d', 'level': 8280, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'minimal_twist': '920.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}-2q^{7}+q^{13}-q^{23}+q^{25}+\\cdots', 'related_objects': ['EllipticCurve/Q/8280/d'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8280.2.a', 'trace_display': [0, 0, -1, -2], 'trace_hash': 1823408083208873930, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.029', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, 1], [23, 1]], 6, 4], [[[2, -1], [3, -1], [5, -1], [23, -1]], 6, 3], [[[2, -1], [3, 1], [5, 1], [23, -1]], 4, 2], [[[2, 1], [3, 1], [5, -1], [23, -1]], 7, 1], [[[2, 1], [3, 1], [5, -1], [23, 1]], 4, 2], [[[2, -1], [3, -1], [5, -1], [23, 1]], 10, 5], [[[2, -1], [3, 1], [5, 1], [23, 1]], 7, 1], [[[2, -1], [3, 1], [5, -1], [23, -1]], 7, 2], [[[2, 1], [3, -1], [5, -1], [23, -1]], 9, 5], [[[2, 1], [3, 1], [5, 1], [23, -1]], 4, 3], [[[2, 1], [3, -1], [5, 1], [23, -1]], 8, 5], [[[2, 1], [3, -1], [5, 1], [23, 1]], 9, 5], [[[2, 1], [3, -1], [5, -1], [23, 1]], 8, 3], [[[2, 1], [3, 1], [5, 1], [23, 1]], 7, 2], [[[2, -1], [3, 1], [5, -1], [23, 1]], 4, 3], [[[2, -1], [3, -1], [5, 1], [23, -1]], 10, 3]], 'ALdims': [7, 4, 4, 7, 9, 8, 8, 9, 7, 4, 4, 7, 6, 10, 10, 6], 'Nk2': 33120, 'analytic_conductor': 66.11613287362016, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 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mf_twists_nf • Show schema
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id: 1383757
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8280.2.a.d', 'source_level': 8280, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '920.2.a.a', 'target_level': 920, 'twist_class_label': '920.2.a.a', 'twist_class_level': 920, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1383758
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8280.2.a.d', 'source_level': 8280, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1840.2.a.i', 'target_level': 1840, 'twist_class_label': '920.2.a.a', 'twist_class_level': 920, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1383759
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8280.2.a.d', 'source_level': 8280, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '4600.2.a.p', 'target_level': 4600, 'twist_class_label': '920.2.a.a', 'twist_class_level': 920, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1383760
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8280.2.a.d', 'source_level': 8280, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '4600.2.e.b', 'target_level': 4600, 'twist_class_label': '920.2.a.a', 'twist_class_level': 920, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1383761
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8280.2.a.d', 'source_level': 8280, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '7360.2.a.a', 'target_level': 7360, 'twist_class_label': '920.2.a.a', 'twist_class_level': 920, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1383762
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8280.2.a.d', 'source_level': 8280, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '7360.2.a.ba', 'target_level': 7360, 'twist_class_label': '920.2.a.a', 'twist_class_level': 920, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1383763
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8280.2.a.d', 'source_level': 8280, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '8280.2.a.d', 'target_level': 8280, 'twist_class_label': '920.2.a.a', 'twist_class_level': 920, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1383764
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '8280.2.a.d', 'source_level': 8280, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '9200.2.a.c', 'target_level': 9200, 'twist_class_label': '920.2.a.a', 'twist_class_level': 920, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4708875
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 2}
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id: 4708876
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 3}
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id: 4708877
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 5}
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id: 4708878
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 7}
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id: 4708879
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 11}
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id: 4708880
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 13}
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id: 4708881
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 17}
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id: 4708882
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 19}
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id: 4708883
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 23}
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id: 4708884
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 29}
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id: 4708885
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 31}
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id: 4708886
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 37}
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id: 4708887
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 41}
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id: 4708888
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 43}
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id: 4708889
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 47}
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id: 4708890
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 53}
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id: 4708891
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 59}
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id: 4708892
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 61}
-
id: 4708893
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 67}
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id: 4708894
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 71}
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id: 4708895
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 73}
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id: 4708896
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 79}
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id: 4708897
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 83}
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id: 4708898
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 89}
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id: 4708899
{'charpoly_factorization': [[[-18, 1], 1]], 'hecke_orbit_code': 13510798915674200, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '8280.2.a.d', 'level': 8280, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 132584000
{'hecke_orbit_code': 13510798915674200, 'n': 1, 'trace_an': 1}
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id: 132584001
{'hecke_orbit_code': 13510798915674200, 'n': 2, 'trace_an': 0}
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id: 132584002
{'hecke_orbit_code': 13510798915674200, 'n': 3, 'trace_an': 0}
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id: 132584003
{'hecke_orbit_code': 13510798915674200, 'n': 4, 'trace_an': 0}
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id: 132584004
{'hecke_orbit_code': 13510798915674200, 'n': 5, 'trace_an': -1}
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id: 132584005
{'hecke_orbit_code': 13510798915674200, 'n': 6, 'trace_an': 0}
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id: 132584006
{'hecke_orbit_code': 13510798915674200, 'n': 7, 'trace_an': -2}
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id: 132584007
{'hecke_orbit_code': 13510798915674200, 'n': 8, 'trace_an': 0}
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id: 132584008
{'hecke_orbit_code': 13510798915674200, 'n': 9, 'trace_an': 0}
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id: 132584009
{'hecke_orbit_code': 13510798915674200, 'n': 10, 'trace_an': 0}
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id: 132584010
{'hecke_orbit_code': 13510798915674200, 'n': 11, 'trace_an': 0}
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id: 132584011
{'hecke_orbit_code': 13510798915674200, 'n': 12, 'trace_an': 0}
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id: 132584012
{'hecke_orbit_code': 13510798915674200, 'n': 13, 'trace_an': 1}
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id: 132584013
{'hecke_orbit_code': 13510798915674200, 'n': 14, 'trace_an': 0}
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id: 132584014
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{'hecke_orbit_code': 13510798915674200, 'n': 999, 'trace_an': 0}
-
id: 132584999
{'hecke_orbit_code': 13510798915674200, 'n': 1000, 'trace_an': 0}