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{'Nk2': 30912, 'analytic_conductor': 61.70839068204548, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, 1], [23, -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': [7728, 1, [4831, 5797, 5153, 6625, 6721], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 837, 'field_disc_factorization': [[3, 3], [31, 1]], 'field_poly': [-1, -6, 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': [[5, [-1, -6, 0, 1]], [11, [-20, -3, 6, 1]], [13, [-61, -30, 0, 1]], [17, [16, -21, 0, 1]]], 'hecke_orbit': 50, 'hecke_orbit_code': 220676381774716464, 'hecke_ring_generator_nbound': 5, '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': '7728.2.a.bx', 'level': 7728, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 23], 'level_radical': 966, 'minimal_twist': '3864.2.a.m', 'nf_label': '3.3.837.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+\\beta _{1}q^{5}-q^{7}+q^{9}+(-2+\\beta _{1}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7728.2.a', 'trace_display': [0, 3, 0, -3], 'trace_hash': 1842777520650558889, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.885', 'prec': 17}, 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{'AL_dims': [[[[2, 1], [3, 1], [7, 1], [23, 1]], 7, 3], [[[2, -1], [3, -1], [7, -1], [23, -1]], 8, 5], [[[2, 1], [3, 1], [7, -1], [23, -1]], 7, 2], [[[2, 1], [3, 1], [7, -1], [23, 1]], 10, 3], [[[2, -1], [3, -1], [7, -1], [23, 1]], 8, 3], [[[2, -1], [3, 1], [7, -1], [23, -1]], 8, 4], [[[2, 1], [3, -1], [7, -1], [23, -1]], 10, 2], [[[2, -1], [3, -1], [7, 1], [23, -1]], 8, 4], [[[2, 1], [3, -1], [7, 1], [23, -1]], 7, 2], [[[2, 1], [3, -1], [7, -1], [23, 1]], 7, 4], [[[2, -1], [3, 1], [7, -1], [23, 1]], 8, 5], [[[2, 1], [3, -1], [7, 1], [23, 1]], 10, 4], [[[2, -1], [3, 1], [7, 1], [23, -1]], 8, 5], [[[2, -1], [3, -1], [7, 1], [23, 1]], 8, 5], [[[2, 1], [3, 1], [7, 1], [23, -1]], 10, 4], [[[2, -1], [3, 1], [7, 1], [23, 1]], 8, 5]], 'ALdims': [7, 10, 10, 7, 10, 7, 7, 10, 8, 8, 8, 8, 8, 8, 8, 8], 'Nk2': 30912, 'analytic_conductor': 61.70839068204548, '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': [7728, 1, [4831, 5797, 5153, 6625, 6721], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1513, 'dim': 132, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17], 'hecke_orbit_code': 33562160, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 6, 6], 'label': '7728.2.a', 'level': 7728, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 23], 'level_radical': 966, 'mf_dim': 1560, 'mf_new_dim': 132, 'num_forms': 60, 'plus_dim': 60, 'prim_orbit_index': 1, 'relative_dim': 132, 'sturm_bound': 3072, 'trace_bound': 13, 'trace_display': [0, 0, -8, 0], 'traces': [132, 0, 0, 0, -8, 0, 0, 0, 132, 0, 0, 0, -8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -8, 0, -16, 0, 8, 0, -32, 0, -8, 0, 0, 0, 132, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 49037288
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 220676381774716464, 'source_is_minimal': False, 'source_label': '7728.2.a.bx.1.3', 'source_level': 7728, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 220676381774716464, 'target_is_minimal': False, 'target_label': '7728.2.a.bx.1.3', 'target_level': 7728, 'twist_class_label': '3864.2.a.m.1.3', 'twist_class_level': 3864, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49037289
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 220676381774716464, 'source_is_minimal': False, 'source_label': '7728.2.a.bx.1.3', 'source_level': 7728, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043195562004248, 'target_is_minimal': True, 'target_label': '3864.2.a.m.1.3', 'target_level': 3864, 'twist_class_label': '3864.2.a.m.1.3', 'twist_class_level': 3864, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4555450
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 220676381774716464, 'p': 2}
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id: 4555451
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 220676381774716464, 'p': 3}
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id: 4555452
{'charpoly_factorization': [[[-1, -6, 0, 1], 1]], 'hecke_orbit_code': 220676381774716464, 'p': 5}
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id: 4555453
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 220676381774716464, 'p': 7}
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id: 4555454
{'charpoly_factorization': [[[-20, -3, 6, 1], 1]], 'hecke_orbit_code': 220676381774716464, 'p': 11}
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id: 4555455
{'charpoly_factorization': [[[-61, -30, 0, 1], 1]], 'hecke_orbit_code': 220676381774716464, 'p': 13}
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id: 4555456
{'charpoly_factorization': [[[16, -21, 0, 1], 1]], 'hecke_orbit_code': 220676381774716464, 'p': 17}
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id: 4555457
{'charpoly_factorization': [[[-24, -3, 6, 1], 1]], 'hecke_orbit_code': 220676381774716464, 'p': 19}
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id: 4555458
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 220676381774716464, 'p': 23}
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id: 4555459
{'charpoly_factorization': [[[-5, 1], 3]], 'hecke_orbit_code': 220676381774716464, 'p': 29}
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id: 4555460
{'charpoly_factorization': [[[6, 33, 12, 1], 1]], 'hecke_orbit_code': 220676381774716464, 'p': 31}
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id: 4555461
{'charpoly_factorization': [[[-53, 3, 9, 1], 1]], 'hecke_orbit_code': 220676381774716464, 'p': 37}
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id: 4555462
{'charpoly_factorization': [[[237, -21, -9, 1], 1]], 'hecke_orbit_code': 220676381774716464, 'p': 41}
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id: 4555463
{'charpoly_factorization': [[[-97, -84, -6, 1], 1]], 'hecke_orbit_code': 220676381774716464, 'p': 43}
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id: 4555464
{'charpoly_factorization': [[[-4, -18, 3, 1], 1]], 'hecke_orbit_code': 220676381774716464, 'p': 47}
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id: 4555465
{'charpoly_factorization': [[[60, -39, 3, 1], 1]], 'hecke_orbit_code': 220676381774716464, 'p': 53}
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id: 4555466
{'charpoly_factorization': [[[-818, 39, 21, 1], 1]], 'hecke_orbit_code': 220676381774716464, 'p': 59}
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id: 4555467
{'charpoly_factorization': [[[-50, -45, -3, 1], 1]], 'hecke_orbit_code': 220676381774716464, 'p': 61}
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id: 4555468
{'charpoly_factorization': [[[-148, -147, 3, 1], 1]], 'hecke_orbit_code': 220676381774716464, 'p': 67}
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id: 4555469
{'charpoly_factorization': [[[50, -45, 3, 1], 1]], 'hecke_orbit_code': 220676381774716464, 'p': 71}
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id: 4555470
{'charpoly_factorization': [[[-432, -189, 0, 1], 1]], 'hecke_orbit_code': 220676381774716464, 'p': 73}
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id: 4555471
{'charpoly_factorization': [[[12, 33, 18, 1], 1]], 'hecke_orbit_code': 220676381774716464, 'p': 79}
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id: 4555472
{'charpoly_factorization': [[[-2388, -291, 6, 1], 1]], 'hecke_orbit_code': 220676381774716464, 'p': 83}
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id: 4555473
{'charpoly_factorization': [[[-50, -45, -3, 1], 1]], 'hecke_orbit_code': 220676381774716464, 'p': 89}
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id: 4555474
{'charpoly_factorization': [[[-985, 27, 21, 1], 1]], 'hecke_orbit_code': 220676381774716464, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 50, 'label': '7728.2.a.bx', 'level': 7728, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 277272000
{'hecke_orbit_code': 220676381774716464, 'n': 1, 'trace_an': 3}
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id: 277272001
{'hecke_orbit_code': 220676381774716464, 'n': 2, 'trace_an': 0}
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id: 277272002
{'hecke_orbit_code': 220676381774716464, 'n': 3, 'trace_an': 3}
-
id: 277272003
{'hecke_orbit_code': 220676381774716464, 'n': 4, 'trace_an': 0}
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id: 277272004
{'hecke_orbit_code': 220676381774716464, 'n': 5, 'trace_an': 0}
-
id: 277272005
{'hecke_orbit_code': 220676381774716464, 'n': 6, 'trace_an': 0}
-
id: 277272006
{'hecke_orbit_code': 220676381774716464, 'n': 7, 'trace_an': -3}
-
id: 277272007
{'hecke_orbit_code': 220676381774716464, 'n': 8, 'trace_an': 0}
-
id: 277272008
{'hecke_orbit_code': 220676381774716464, 'n': 9, 'trace_an': 3}
-
id: 277272009
{'hecke_orbit_code': 220676381774716464, 'n': 10, 'trace_an': 0}
-
id: 277272010
{'hecke_orbit_code': 220676381774716464, 'n': 11, 'trace_an': -6}
-
id: 277272011
{'hecke_orbit_code': 220676381774716464, 'n': 12, 'trace_an': 0}
-
id: 277272012
{'hecke_orbit_code': 220676381774716464, 'n': 13, 'trace_an': 0}
-
id: 277272013
{'hecke_orbit_code': 220676381774716464, 'n': 14, 'trace_an': 0}
-
id: 277272014
{'hecke_orbit_code': 220676381774716464, 'n': 15, 'trace_an': 0}
-
id: 277272015
{'hecke_orbit_code': 220676381774716464, 'n': 16, 'trace_an': 0}
-
id: 277272016
{'hecke_orbit_code': 220676381774716464, 'n': 17, 'trace_an': 0}
-
id: 277272017
{'hecke_orbit_code': 220676381774716464, 'n': 18, 'trace_an': 0}
-
id: 277272018
{'hecke_orbit_code': 220676381774716464, 'n': 19, 'trace_an': -6}
-
id: 277272019
{'hecke_orbit_code': 220676381774716464, 'n': 20, 'trace_an': 0}
-
id: 277272020
{'hecke_orbit_code': 220676381774716464, 'n': 21, 'trace_an': -3}
-
id: 277272021
{'hecke_orbit_code': 220676381774716464, 'n': 22, 'trace_an': 0}
-
id: 277272022
{'hecke_orbit_code': 220676381774716464, 'n': 23, 'trace_an': 3}
-
id: 277272023
{'hecke_orbit_code': 220676381774716464, 'n': 24, 'trace_an': 0}
-
id: 277272024
{'hecke_orbit_code': 220676381774716464, 'n': 25, 'trace_an': -3}
-
id: 277272025
{'hecke_orbit_code': 220676381774716464, 'n': 26, 'trace_an': 0}
-
id: 277272026
{'hecke_orbit_code': 220676381774716464, 'n': 27, 'trace_an': 3}
-
id: 277272027
{'hecke_orbit_code': 220676381774716464, 'n': 28, 'trace_an': 0}
-
id: 277272028
{'hecke_orbit_code': 220676381774716464, 'n': 29, 'trace_an': 15}
-
id: 277272029
{'hecke_orbit_code': 220676381774716464, 'n': 30, 'trace_an': 0}
-
id: 277272030
{'hecke_orbit_code': 220676381774716464, 'n': 31, 'trace_an': -12}
-
id: 277272031
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