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{'Nk2': 26880, 'analytic_conductor': 53.659470158300415, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 1], [7, -1]], 'atkin_lehner_string': '--+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6720, 1, [1471, 3781, 4481, 5377, 1921], [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': [[11, [6, 1]], [13, [4, 1]], [17, [-6, 1]], [19, [6, 1]], [23, [4, 1]], [29, [-2, 1]], [31, [2, 1]]], 'hecke_orbit': 39, 'hecke_orbit_code': 171136785873640000, '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': '6720.2.a.bm', 'level': 6720, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '3360.2.a.m', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}+q^{7}+q^{9}-6q^{11}-4q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/6720/bm'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6720.2.a', 'trace_display': [0, 1, -1, 1], 'trace_hash': 973490418184030112, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.997', 'prec': 17}, 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [7, -1]], 4, 4], [[[2, -1], [3, 1], [5, 1], [7, -1]], 4, 3], [[[2, 1], [3, 1], [5, -1], [7, -1]], 5, 5], [[[2, -1], [3, 1], [5, -1], [7, -1]], 7, 6], [[[2, 1], [3, 1], [5, 1], [7, -1]], 8, 5], [[[2, 1], [3, -1], [5, -1], [7, -1]], 8, 5], [[[2, 1], [3, -1], [5, 1], [7, -1]], 5, 5], [[[2, -1], [3, -1], [5, 1], [7, 1]], 6, 4], [[[2, -1], [3, -1], [5, -1], [7, 1]], 7, 6], [[[2, 1], [3, -1], [5, -1], [7, 1]], 5, 5], [[[2, 1], [3, -1], [5, 1], [7, 1]], 6, 4], [[[2, -1], [3, 1], [5, 1], [7, 1]], 7, 7], [[[2, -1], [3, -1], [5, 1], [7, -1]], 7, 7], [[[2, 1], [3, 1], [5, 1], [7, 1]], 5, 5], [[[2, -1], [3, 1], [5, -1], [7, 1]], 6, 5], [[[2, 1], [3, 1], [5, -1], [7, 1]], 6, 4]], 'ALdims': [5, 8, 6, 5, 6, 5, 5, 8, 7, 4, 6, 7, 6, 7, 7, 4], 'Nk2': 26880, 'analytic_conductor': 53.659470158300415, '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': [6720, 1, [1471, 3781, 4481, 5377, 1921], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1489, 'dim': 96, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 19, 23, 29, 31], 'hecke_orbit_code': 33561152, '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, 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, 3, 3], 'label': '6720.2.a', 'level': 6720, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 1584, 'mf_new_dim': 96, 'num_forms': 80, 'plus_dim': 40, 'prim_orbit_index': 1, 'relative_dim': 96, 'sturm_bound': 3072, 'trace_bound': 23, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 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mf_twists_cc • Show schema
Hide schema
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id: 48908420
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 171136785873640000, 'source_is_minimal': False, 'source_label': '6720.2.a.bm.1.1', 'source_level': 6720, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 171136785873640000, 'target_is_minimal': False, 'target_label': '6720.2.a.bm.1.1', 'target_level': 6720, 'twist_class_label': '3360.2.a.m.1.1', 'twist_class_level': 3360, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48908421
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 171136785873640000, 'source_is_minimal': False, 'source_label': '6720.2.a.bm.1.1', 'source_level': 6720, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934636608, 'target_is_minimal': False, 'target_label': '6720.2.a.l.1.1', 'target_level': 6720, 'twist_class_label': '3360.2.a.m.1.1', 'twist_class_level': 3360, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48908422
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 171136785873640000, 'source_is_minimal': False, 'source_label': '6720.2.a.bm.1.1', 'source_level': 6720, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392953597216, 'target_is_minimal': True, 'target_label': '3360.2.a.t.1.1', 'target_level': 3360, 'twist_class_label': '3360.2.a.m.1.1', 'twist_class_level': 3360, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48908423
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 171136785873640000, 'source_is_minimal': False, 'source_label': '6720.2.a.bm.1.1', 'source_level': 6720, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562003744, 'target_is_minimal': True, 'target_label': '3360.2.a.m.1.1', 'target_level': 3360, 'twist_class_label': '3360.2.a.m.1.1', 'twist_class_level': 3360, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4268150
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 2}
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id: 4268151
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 3}
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id: 4268152
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 5}
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id: 4268153
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 7}
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id: 4268154
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 11}
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id: 4268155
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 13}
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id: 4268156
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 17}
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id: 4268157
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 19}
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id: 4268158
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 23}
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id: 4268159
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 29}
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id: 4268160
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 31}
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id: 4268161
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 37}
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id: 4268162
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 41}
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id: 4268163
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 43}
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id: 4268164
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 47}
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id: 4268165
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 53}
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id: 4268166
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 59}
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id: 4268167
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 61}
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id: 4268168
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 67}
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id: 4268169
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 71}
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id: 4268170
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 73}
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id: 4268171
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 79}
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id: 4268172
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 83}
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id: 4268173
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 89}
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id: 4268174
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 171136785873640000, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 39, 'label': '6720.2.a.bm', 'level': 6720, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 272486000
{'hecke_orbit_code': 171136785873640000, 'n': 1, 'trace_an': 1}
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id: 272486001
{'hecke_orbit_code': 171136785873640000, 'n': 2, 'trace_an': 0}
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id: 272486002
{'hecke_orbit_code': 171136785873640000, 'n': 3, 'trace_an': 1}
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id: 272486003
{'hecke_orbit_code': 171136785873640000, 'n': 4, 'trace_an': 0}
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id: 272486004
{'hecke_orbit_code': 171136785873640000, 'n': 5, 'trace_an': -1}
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id: 272486005
{'hecke_orbit_code': 171136785873640000, 'n': 6, 'trace_an': 0}
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id: 272486006
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