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{'Nk2': 38304, 'analytic_conductor': 76.4647449755781, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, 1], [19, -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': [9576, 1, [7183, 4789, 5321, 4105, 1009], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [2, -4, 1]], [11, [-8, 0, 1]], [13, [-32, 0, 1]], [17, [-14, -4, 1]]], 'hecke_orbit': 51, 'hecke_orbit_code': 225179981402088808, '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': '9576.2.a.by', 'level': 9576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'minimal_twist': '3192.2.a.r', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(2+\\beta )q^{5}-q^{7}+2\\beta q^{11}+4\\beta q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9576.2.a', 'trace_display': [0, 0, 4, -2], 'trace_hash': 12460970073075156, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.042', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.928', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.204', 'prec': 17}, 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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], [7, -1], [19, -1]], 9, 4], [[[2, 1], [3, 1], [7, -1], [19, -1]], 6, 4], [[[2, 1], [3, -1], [7, -1], [19, 1]], 9, 4], [[[2, 1], [3, 1], [7, -1], [19, 1]], 7, 4], [[[2, -1], [3, 1], [7, -1], [19, 1]], 7, 4], [[[2, 1], [3, -1], [7, 1], [19, 1]], 12, 5], [[[2, -1], [3, 1], [7, -1], [19, -1]], 6, 4], [[[2, 1], [3, 1], [7, 1], [19, 1]], 6, 3], [[[2, 1], [3, -1], [7, -1], [19, -1]], 12, 4], [[[2, -1], [3, -1], [7, 1], [19, -1]], 11, 6], [[[2, 1], [3, -1], [7, 1], [19, -1]], 9, 5], [[[2, -1], [3, -1], [7, 1], [19, 1]], 9, 4], [[[2, -1], [3, 1], [7, 1], [19, -1]], 7, 4], [[[2, 1], [3, 1], [7, 1], [19, -1]], 7, 4], [[[2, -1], [3, 1], [7, 1], [19, 1]], 6, 3], [[[2, -1], [3, -1], [7, -1], [19, 1]], 11, 5]], 'ALdims': [6, 7, 7, 6, 12, 9, 9, 12, 6, 7, 7, 6, 9, 11, 11, 9], 'Nk2': 38304, 'analytic_conductor': 76.4647449755781, '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: 1438039
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '9576.2.a.by', 'source_level': 9576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': True, 'target_label': '3192.2.a.r', 'target_level': 3192, 'twist_class_label': '3192.2.a.r', 'twist_class_level': 3192, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1438040
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '9576.2.a.by', 'source_level': 9576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '6384.2.a.bh', 'target_level': 6384, 'twist_class_label': '3192.2.a.r', 'twist_class_level': 3192, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1438041
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '9576.2.a.by', 'source_level': 9576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 51, 'target_is_minimal': False, 'target_label': '9576.2.a.by', 'target_level': 9576, 'twist_class_label': '3192.2.a.r', 'twist_class_level': 3192, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 5066450
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 225179981402088808, 'p': 2}
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id: 5066451
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 225179981402088808, 'p': 3}
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id: 5066452
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 225179981402088808, 'p': 5}
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id: 5066453
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 225179981402088808, 'p': 7}
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id: 5066454
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 225179981402088808, 'p': 11}
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id: 5066455
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 225179981402088808, 'p': 13}
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id: 5066456
{'charpoly_factorization': [[[-14, -4, 1], 1]], 'hecke_orbit_code': 225179981402088808, 'p': 17}
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id: 5066457
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 225179981402088808, 'p': 19}
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id: 5066458
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 225179981402088808, 'p': 23}
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id: 5066459
{'charpoly_factorization': [[[18, 12, 1], 1]], 'hecke_orbit_code': 225179981402088808, 'p': 29}
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id: 5066460
{'charpoly_factorization': [[[28, -12, 1], 1]], 'hecke_orbit_code': 225179981402088808, 'p': 31}
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id: 5066461
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 225179981402088808, 'p': 37}
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id: 5066462
{'charpoly_factorization': [[[28, -12, 1], 1]], 'hecke_orbit_code': 225179981402088808, 'p': 41}
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id: 5066463
{'charpoly_factorization': [[[28, 12, 1], 1]], 'hecke_orbit_code': 225179981402088808, 'p': 43}
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id: 5066464
{'charpoly_factorization': [[[142, -24, 1], 1]], 'hecke_orbit_code': 225179981402088808, 'p': 47}
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id: 5066465
{'charpoly_factorization': [[[-46, 4, 1], 1]], 'hecke_orbit_code': 225179981402088808, 'p': 53}
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id: 5066466
{'charpoly_factorization': [[[32, -16, 1], 1]], 'hecke_orbit_code': 225179981402088808, 'p': 59}
-
id: 5066467
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 225179981402088808, 'p': 61}
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id: 5066468
{'charpoly_factorization': [[[136, 24, 1], 1]], 'hecke_orbit_code': 225179981402088808, 'p': 67}
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id: 5066469
{'charpoly_factorization': [[[-162, 0, 1], 1]], 'hecke_orbit_code': 225179981402088808, 'p': 71}
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id: 5066470
{'charpoly_factorization': [[[28, 12, 1], 1]], 'hecke_orbit_code': 225179981402088808, 'p': 73}
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id: 5066471
{'charpoly_factorization': [[[32, -16, 1], 1]], 'hecke_orbit_code': 225179981402088808, 'p': 79}
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id: 5066472
{'charpoly_factorization': [[[46, -16, 1], 1]], 'hecke_orbit_code': 225179981402088808, 'p': 83}
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id: 5066473
{'charpoly_factorization': [[[188, -28, 1], 1]], 'hecke_orbit_code': 225179981402088808, 'p': 89}
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id: 5066474
{'charpoly_factorization': [[[4, 12, 1], 1]], 'hecke_orbit_code': 225179981402088808, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 51, 'label': '9576.2.a.by', 'level': 9576, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 277633000
{'hecke_orbit_code': 225179981402088808, 'n': 1, 'trace_an': 2}
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id: 277633001
{'hecke_orbit_code': 225179981402088808, 'n': 2, 'trace_an': 0}
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id: 277633002
{'hecke_orbit_code': 225179981402088808, 'n': 3, 'trace_an': 0}
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id: 277633003
{'hecke_orbit_code': 225179981402088808, 'n': 4, 'trace_an': 0}
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id: 277633004
{'hecke_orbit_code': 225179981402088808, 'n': 5, 'trace_an': 4}
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id: 277633005
{'hecke_orbit_code': 225179981402088808, 'n': 6, 'trace_an': 0}
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id: 277633006
{'hecke_orbit_code': 225179981402088808, 'n': 7, 'trace_an': -2}
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id: 277633007
{'hecke_orbit_code': 225179981402088808, 'n': 8, 'trace_an': 0}
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id: 277633008
{'hecke_orbit_code': 225179981402088808, 'n': 9, 'trace_an': 0}
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id: 277633009
{'hecke_orbit_code': 225179981402088808, 'n': 10, 'trace_an': 0}
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id: 277633010
{'hecke_orbit_code': 225179981402088808, 'n': 11, 'trace_an': 0}
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id: 277633011
{'hecke_orbit_code': 225179981402088808, 'n': 12, 'trace_an': 0}
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id: 277633012
{'hecke_orbit_code': 225179981402088808, 'n': 13, 'trace_an': 0}
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id: 277633013
{'hecke_orbit_code': 225179981402088808, 'n': 14, 'trace_an': 0}
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id: 277633014
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