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{'Nk2': 34704, 'analytic_conductor': 127.97514280245139, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [241, 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': [2169, 1, [965, 730], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 29, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_orbit': 3, 'hecke_orbit_code': 9007199321852025, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2169.4.a.c', 'level': 2169, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 241], 'level_radical': 723, 'minimal_twist': '723.4.a.b', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 29, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2169.4.a', 'trace_display': [-9, 0, -62, -30], 'traces': [29, -9, 0, 97, -62, 0, -30, -108, 0, 51, -46, 0, 250, -84, 0, 333, -128, 0, 58, -405, 0, -48, -232, 0, 707, -238, 0, -89, -590, 0, -468, -1068, 0, 287, -474, 0, 842, -160, 0, 434, -814, 0, 20, -150, 0, -37, -1004, 0, 1239, -839, 0, 1928, -2192, 0, 432, -437, 0, -28, -1288, 0, 1502, -3059, 0, 3372, -2312, 0, 358, -4990, 0, 5366, -1938, 0, 3266, -2510, 0, 3591, -5098, 0, -292, -8235, 0, 4511, -4256, 0, 1998, -6860, 0, 5935, -6428, 0, -1650, -6823, 0, 3025, -1802, 0, 5040, -9410, 0, 3878, -5500, 0, 2158, -9446, 0, -143, -2990, 0, 1908, -14516, 0, 1107, -7538, 0, 1748, -10002, 0, 8288, -6990, 0, 4299, -6886, 0, -253, -14586, 0, 1188, -19907, 0, 4923, -6640, 0, 7354, -7191, 0, 5354, -8460, 0, -3974, -14441, 0, -1613, -10904, 0, 6440, -10023, 0, 10781, -4964, 0, -7122, -8972, 0, 3000, 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label 2169.4.a.c does not appear in mf_hecke_nf
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{'AL_dims': [[[[3, -1], [241, 1]], 87, 3], [[[3, 1], [241, 1]], 66, 1], [[[3, -1], [241, -1]], 93, 3], [[[3, 1], [241, -1]], 54, 1]], 'ALdims': [66, 54, 87, 93], 'Nk2': 34704, 'analytic_conductor': 127.97514280245139, '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': [2169, 1, [965, 730], [1, 1]], 'conrey_index': 1, 'cusp_dim': 722, 'dim': 300, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_orbit_code': 67111033, 'hecke_orbit_dims': [25, 27, 29, 31, 33, 35, 54, 66], 'label': '2169.4.a', 'level': 2169, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 241], 'level_radical': 723, 'mf_dim': 730, 'mf_new_dim': 300, 'num_forms': 8, 'plus_dim': 159, 'prim_orbit_index': 1, 'relative_dim': 300, 'sturm_bound': 968, 'trace_bound': 1, 'trace_display': [-2, 0, -16, -10], 'traces': [300, -2, 0, 1210, -16, 0, -10, -30, 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192498, 0, 6458, 759892, 0, 613332, -1842772, 0, 430574, -507488, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 887401
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 29, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2169.4.a.c', 'source_level': 2169, 'target_char_orbit': 1, 'target_dim': 29, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '723.4.a.b', 'target_level': 723, 'twist_class_label': '723.4.a.b', 'twist_class_level': 723, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 887402
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 29, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2169.4.a.c', 'source_level': 2169, 'target_char_orbit': 1, 'target_dim': 29, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2169.4.a.c', 'target_level': 2169, 'twist_class_label': '723.4.a.b', 'twist_class_level': 723, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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hecke_orbit_code 9007199321852025 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '2169.4.a.c', 'level': 2169, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
-
id: 111486000
{'hecke_orbit_code': 9007199321852025, 'n': 1, 'trace_an': 29}
-
id: 111486001
{'hecke_orbit_code': 9007199321852025, 'n': 2, 'trace_an': -9}
-
id: 111486002
{'hecke_orbit_code': 9007199321852025, 'n': 3, 'trace_an': 0}
-
id: 111486003
{'hecke_orbit_code': 9007199321852025, 'n': 4, 'trace_an': 97}
-
id: 111486004
{'hecke_orbit_code': 9007199321852025, 'n': 5, 'trace_an': -62}
-
id: 111486005
{'hecke_orbit_code': 9007199321852025, 'n': 6, 'trace_an': 0}
-
id: 111486006
{'hecke_orbit_code': 9007199321852025, 'n': 7, 'trace_an': -30}
-
id: 111486007
{'hecke_orbit_code': 9007199321852025, 'n': 8, 'trace_an': -108}
-
id: 111486008
{'hecke_orbit_code': 9007199321852025, 'n': 9, 'trace_an': 0}
-
id: 111486009
{'hecke_orbit_code': 9007199321852025, 'n': 10, 'trace_an': 51}
-
id: 111486010
{'hecke_orbit_code': 9007199321852025, 'n': 11, 'trace_an': -46}
-
id: 111486011
{'hecke_orbit_code': 9007199321852025, 'n': 12, 'trace_an': 0}
-
id: 111486012
{'hecke_orbit_code': 9007199321852025, 'n': 13, 'trace_an': 250}
-
id: 111486013
{'hecke_orbit_code': 9007199321852025, 'n': 14, 'trace_an': -84}
-
id: 111486014
{'hecke_orbit_code': 9007199321852025, 'n': 15, 'trace_an': 0}
-
id: 111486015
{'hecke_orbit_code': 9007199321852025, 'n': 16, 'trace_an': 333}
-
id: 111486016
{'hecke_orbit_code': 9007199321852025, 'n': 17, 'trace_an': -128}
-
id: 111486017
{'hecke_orbit_code': 9007199321852025, 'n': 18, 'trace_an': 0}
-
id: 111486018
{'hecke_orbit_code': 9007199321852025, 'n': 19, 'trace_an': 58}
-
id: 111486019
{'hecke_orbit_code': 9007199321852025, 'n': 20, 'trace_an': -405}
-
id: 111486020
{'hecke_orbit_code': 9007199321852025, 'n': 21, 'trace_an': 0}
-
id: 111486021
{'hecke_orbit_code': 9007199321852025, 'n': 22, 'trace_an': -48}
-
id: 111486022
{'hecke_orbit_code': 9007199321852025, 'n': 23, 'trace_an': -232}
-
id: 111486023
{'hecke_orbit_code': 9007199321852025, 'n': 24, 'trace_an': 0}
-
id: 111486024
{'hecke_orbit_code': 9007199321852025, 'n': 25, 'trace_an': 707}
-
id: 111486025
{'hecke_orbit_code': 9007199321852025, 'n': 26, 'trace_an': -238}
-
id: 111486026
{'hecke_orbit_code': 9007199321852025, 'n': 27, 'trace_an': 0}
-
id: 111486027
{'hecke_orbit_code': 9007199321852025, 'n': 28, 'trace_an': -89}
-
id: 111486028
{'hecke_orbit_code': 9007199321852025, 'n': 29, 'trace_an': -590}
-
id: 111486029
{'hecke_orbit_code': 9007199321852025, 'n': 30, 'trace_an': 0}
-
id: 111486030
{'hecke_orbit_code': 9007199321852025, 'n': 31, 'trace_an': -468}
-
id: 111486031
{'hecke_orbit_code': 9007199321852025, 'n': 32, 'trace_an': -1068}
-
id: 111486032
{'hecke_orbit_code': 9007199321852025, 'n': 33, 'trace_an': 0}
-
id: 111486033
{'hecke_orbit_code': 9007199321852025, 'n': 34, 'trace_an': 287}
-
id: 111486034
{'hecke_orbit_code': 9007199321852025, 'n': 35, 'trace_an': -474}
-
id: 111486035
{'hecke_orbit_code': 9007199321852025, 'n': 36, 'trace_an': 0}
-
id: 111486036
{'hecke_orbit_code': 9007199321852025, 'n': 37, 'trace_an': 842}
-
id: 111486037
{'hecke_orbit_code': 9007199321852025, 'n': 38, 'trace_an': -160}
-
id: 111486038
{'hecke_orbit_code': 9007199321852025, 'n': 39, 'trace_an': 0}
-
id: 111486039
{'hecke_orbit_code': 9007199321852025, 'n': 40, 'trace_an': 434}
-
id: 111486040
{'hecke_orbit_code': 9007199321852025, 'n': 41, 'trace_an': -814}
-
id: 111486041
{'hecke_orbit_code': 9007199321852025, 'n': 42, 'trace_an': 0}
-
id: 111486042
{'hecke_orbit_code': 9007199321852025, 'n': 43, 'trace_an': 20}
-
id: 111486043
{'hecke_orbit_code': 9007199321852025, 'n': 44, 'trace_an': -150}
-
id: 111486044
{'hecke_orbit_code': 9007199321852025, 'n': 45, 'trace_an': 0}
-
id: 111486045
{'hecke_orbit_code': 9007199321852025, 'n': 46, 'trace_an': -37}
-
id: 111486046
{'hecke_orbit_code': 9007199321852025, 'n': 47, 'trace_an': -1004}
-
id: 111486047
{'hecke_orbit_code': 9007199321852025, 'n': 48, 'trace_an': 0}
-
id: 111486048
{'hecke_orbit_code': 9007199321852025, 'n': 49, 'trace_an': 1239}
-
id: 111486049
{'hecke_orbit_code': 9007199321852025, 'n': 50, 'trace_an': -839}
-
id: 111486050
{'hecke_orbit_code': 9007199321852025, 'n': 51, 'trace_an': 0}
-
id: 111486051
{'hecke_orbit_code': 9007199321852025, 'n': 52, 'trace_an': 1928}
-
id: 111486052
{'hecke_orbit_code': 9007199321852025, 'n': 53, 'trace_an': -2192}
-
id: 111486053
{'hecke_orbit_code': 9007199321852025, 'n': 54, 'trace_an': 0}
-
id: 111486054
{'hecke_orbit_code': 9007199321852025, 'n': 55, 'trace_an': 432}
-
id: 111486055
{'hecke_orbit_code': 9007199321852025, 'n': 56, 'trace_an': -437}
-
id: 111486056
{'hecke_orbit_code': 9007199321852025, 'n': 57, 'trace_an': 0}
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id: 111486057
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