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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': 2, 'field_disc': 17, 'field_disc_factorization': [[17, 1]], 'field_poly': [-4, -1, 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, [-16, 2, 1]], [13, [-16, 2, 1]], [17, [-2, 1]], [19, [-8, 6, 1]], [23, [0, 1]], [29, [-2, 1]], [31, [-16, -2, 1]]], 'hecke_orbit': 72, 'hecke_orbit_code': 319755573576866368, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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.ct', '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.ba', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+q^{5}+q^{7}+q^{9}+(-1-\\beta )q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6720.2.a', 'trace_display': [0, -2, 2, 2], 'trace_hash': 1596008065641551658, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.999', '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: 49135352
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 319755573576866368, 'source_is_minimal': False, 'source_label': '6720.2.a.ct.1.1', 'source_level': 6720, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 319755573576866368, 'target_is_minimal': False, 'target_label': '6720.2.a.ct.1.1', 'target_level': 6720, 'twist_class_label': '3360.2.a.ba.1.1', 'twist_class_level': 3360, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49135353
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 319755573576866368, 'source_is_minimal': False, 'source_label': '6720.2.a.ct.1.1', 'source_level': 6720, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 333266372458977856, 'target_is_minimal': False, 'target_label': '6720.2.a.cw.1.2', 'target_level': 6720, 'twist_class_label': '3360.2.a.ba.1.1', 'twist_class_level': 3360, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49135354
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 319755573576866368, 'source_is_minimal': False, 'source_label': '6720.2.a.ct.1.1', 'source_level': 6720, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 117093590345190688, 'target_is_minimal': True, 'target_label': '3360.2.a.ba.1.1', 'target_level': 3360, 'twist_class_label': '3360.2.a.ba.1.1', 'twist_class_level': 3360, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49135355
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 319755573576866368, 'source_is_minimal': False, 'source_label': '6720.2.a.ct.1.1', 'source_level': 6720, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 144115188109413664, 'target_is_minimal': True, 'target_label': '3360.2.a.bg.1.2', 'target_level': 3360, 'twist_class_label': '3360.2.a.ba.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: 4269125
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 319755573576866368, 'p': 2}
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id: 4269126
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 319755573576866368, 'p': 3}
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id: 4269127
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 319755573576866368, 'p': 5}
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id: 4269128
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 319755573576866368, 'p': 7}
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id: 4269129
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 319755573576866368, 'p': 11}
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id: 4269130
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 319755573576866368, 'p': 13}
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id: 4269131
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 319755573576866368, 'p': 17}
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id: 4269132
{'charpoly_factorization': [[[-8, 6, 1], 1]], 'hecke_orbit_code': 319755573576866368, 'p': 19}
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id: 4269133
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 319755573576866368, 'p': 23}
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id: 4269134
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 319755573576866368, 'p': 29}
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id: 4269135
{'charpoly_factorization': [[[-16, -2, 1], 1]], 'hecke_orbit_code': 319755573576866368, 'p': 31}
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id: 4269136
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 319755573576866368, 'p': 37}
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id: 4269137
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 319755573576866368, 'p': 41}
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id: 4269138
{'charpoly_factorization': [[[-64, 4, 1], 1]], 'hecke_orbit_code': 319755573576866368, 'p': 43}
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id: 4269139
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 319755573576866368, 'p': 47}
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id: 4269140
{'charpoly_factorization': [[[-152, 2, 1], 1]], 'hecke_orbit_code': 319755573576866368, 'p': 53}
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id: 4269141
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 319755573576866368, 'p': 59}
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id: 4269142
{'charpoly_factorization': [[[-68, 0, 1], 1]], 'hecke_orbit_code': 319755573576866368, 'p': 61}
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id: 4269143
{'charpoly_factorization': [[[-32, 12, 1], 1]], 'hecke_orbit_code': 319755573576866368, 'p': 67}
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id: 4269144
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 319755573576866368, 'p': 71}
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id: 4269145
{'charpoly_factorization': [[[104, -22, 1], 1]], 'hecke_orbit_code': 319755573576866368, 'p': 73}
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id: 4269146
{'charpoly_factorization': [[[-32, -12, 1], 1]], 'hecke_orbit_code': 319755573576866368, 'p': 79}
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id: 4269147
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 319755573576866368, 'p': 83}
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id: 4269148
{'charpoly_factorization': [[[-4, -16, 1], 1]], 'hecke_orbit_code': 319755573576866368, 'p': 89}
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id: 4269149
{'charpoly_factorization': [[[64, -18, 1], 1]], 'hecke_orbit_code': 319755573576866368, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 72, 'label': '6720.2.a.ct', 'level': 6720, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 280479000
{'hecke_orbit_code': 319755573576866368, 'n': 1, 'trace_an': 2}
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id: 280479001
{'hecke_orbit_code': 319755573576866368, 'n': 2, 'trace_an': 0}
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id: 280479002
{'hecke_orbit_code': 319755573576866368, 'n': 3, 'trace_an': -2}
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id: 280479003
{'hecke_orbit_code': 319755573576866368, 'n': 4, 'trace_an': 0}
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id: 280479004
{'hecke_orbit_code': 319755573576866368, 'n': 5, 'trace_an': 2}
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id: 280479005
{'hecke_orbit_code': 319755573576866368, 'n': 6, 'trace_an': 0}
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id: 280479006
{'hecke_orbit_code': 319755573576866368, 'n': 7, 'trace_an': 2}
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id: 280479007
{'hecke_orbit_code': 319755573576866368, 'n': 8, 'trace_an': 0}
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id: 280479008
{'hecke_orbit_code': 319755573576866368, 'n': 9, 'trace_an': 2}
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id: 280479009
{'hecke_orbit_code': 319755573576866368, 'n': 10, 'trace_an': 0}
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id: 280479010
{'hecke_orbit_code': 319755573576866368, 'n': 11, 'trace_an': -2}
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id: 280479011
{'hecke_orbit_code': 319755573576866368, 'n': 12, 'trace_an': 0}
-
id: 280479012
{'hecke_orbit_code': 319755573576866368, 'n': 13, 'trace_an': -2}
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