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{'Nk2': 16116, 'analytic_conductor': 32.17172697437387, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [17, 1], [79, 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': [4029, 1, [2687, 3556, 3163], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 25, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [1820, -7204, -14348, 75684, 32100, -310190, 17430, 661566, -185786, -824589, 342451, 634369, -327389, -307229, 188611, 92400, -68652, -15984, 15860, 1129, -2249, 83, 178, -20, -6, 1]], [5, [9459, 75834, -225647, -3158938, -6082653, 9053688, 28866608, -7481197, -46429599, 2006543, 37851819, -154084, -17953707, 271606, 5284646, -220795, -991666, 71378, 118280, -11938, -8636, 1094, 350, -52, -6, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679892925, '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': True, 'label': '4029.2.a.j', 'level': 4029, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 17, 79], 'level_radical': 4029, 'minimal_twist': '4029.2.a.j', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 25, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4029.2.a', 'trace_display': [6, 25, 6, 4], 'traces': [25, 6, 25, 26, 6, 6, 4, 18, 25, 13, 19, 26, 0, 17, 6, 16, -25, 6, 25, 32, 4, -7, 8, 18, 15, 20, 25, 9, 21, 13, 4, 27, 19, -6, 50, 26, -8, 31, 0, 52, 40, 17, 21, 34, 6, 29, 43, 16, 21, 13, -25, 3, 44, 6, 13, 38, 25, -5, 45, 32, 22, 4, 4, 26, 43, -7, 8, -26, 8, 29, 9, 18, -7, 18, 15, 33, 20, 20, -25, 42, 25, -43, 41, 9, -6, -12, 21, -43, 68, 13, 10, 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{'AL_dims': [[[[3, -1], [17, -1], [79, -1]], 31, 1], [[[3, 1], [17, -1], [79, -1]], 25, 2], [[[3, 1], [17, -1], [79, 1]], 25, 1], [[[3, -1], [17, 1], [79, -1]], 25, 1], [[[3, -1], [17, 1], [79, 1]], 25, 1], [[[3, -1], [17, -1], [79, 1]], 22, 4], [[[3, 1], [17, 1], [79, 1]], 22, 1], [[[3, 1], [17, 1], [79, -1]], 32, 1]], 'ALdims': [22, 32, 25, 25, 25, 25, 22, 31], 'Nk2': 16116, 'analytic_conductor': 32.17172697437387, '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': [4029, 1, [2687, 3556, 3163], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 477, 'dim': 207, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33558461, 'hecke_orbit_dims': [1, 1, 2, 3, 18, 22, 22, 25, 25, 25, 31, 32], 'label': '4029.2.a', 'level': 4029, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 17, 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mf_twists_cc • Show schema
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{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 25, 'source_embedding_index': 19, 'source_hecke_orbit_code': 40532396679892925, 'source_is_minimal': True, 'source_label': '4029.2.a.j.1.19', 'source_level': 4029, 'target_conrey_index': 1, 'target_dim': 25, 'target_embedding_index': 19, 'target_hecke_orbit_code': 40532396679892925, 'target_is_minimal': True, 'target_label': '4029.2.a.j.1.19', 'target_level': 4029, 'twist_class_label': '4029.2.a.j.1.19', 'twist_class_level': 4029, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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hecke_orbit_code 40532396679892925 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': 10, 'label': '4029.2.a.j', 'level': 4029, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 204370000
{'hecke_orbit_code': 40532396679892925, 'n': 1, 'trace_an': 25}
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id: 204370001
{'hecke_orbit_code': 40532396679892925, 'n': 2, 'trace_an': 6}
-
id: 204370002
{'hecke_orbit_code': 40532396679892925, 'n': 3, 'trace_an': 25}
-
id: 204370003
{'hecke_orbit_code': 40532396679892925, 'n': 4, 'trace_an': 26}
-
id: 204370004
{'hecke_orbit_code': 40532396679892925, 'n': 5, 'trace_an': 6}
-
id: 204370005
{'hecke_orbit_code': 40532396679892925, 'n': 6, 'trace_an': 6}
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id: 204370006
{'hecke_orbit_code': 40532396679892925, 'n': 7, 'trace_an': 4}
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id: 204370007
{'hecke_orbit_code': 40532396679892925, 'n': 8, 'trace_an': 18}
-
id: 204370008
{'hecke_orbit_code': 40532396679892925, 'n': 9, 'trace_an': 25}
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id: 204370009
{'hecke_orbit_code': 40532396679892925, 'n': 10, 'trace_an': 13}
-
id: 204370010
{'hecke_orbit_code': 40532396679892925, 'n': 11, 'trace_an': 19}
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id: 204370011
{'hecke_orbit_code': 40532396679892925, 'n': 12, 'trace_an': 26}
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id: 204370012
{'hecke_orbit_code': 40532396679892925, 'n': 13, 'trace_an': 0}
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id: 204370013
{'hecke_orbit_code': 40532396679892925, 'n': 14, 'trace_an': 17}
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id: 204370014
{'hecke_orbit_code': 40532396679892925, 'n': 15, 'trace_an': 6}
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id: 204370015
{'hecke_orbit_code': 40532396679892925, 'n': 16, 'trace_an': 16}
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id: 204370016
{'hecke_orbit_code': 40532396679892925, 'n': 17, 'trace_an': -25}
-
id: 204370017
{'hecke_orbit_code': 40532396679892925, 'n': 18, 'trace_an': 6}
-
id: 204370018
{'hecke_orbit_code': 40532396679892925, 'n': 19, 'trace_an': 25}
-
id: 204370019
{'hecke_orbit_code': 40532396679892925, 'n': 20, 'trace_an': 32}
-
id: 204370020
{'hecke_orbit_code': 40532396679892925, 'n': 21, 'trace_an': 4}
-
id: 204370021
{'hecke_orbit_code': 40532396679892925, 'n': 22, 'trace_an': -7}
-
id: 204370022
{'hecke_orbit_code': 40532396679892925, 'n': 23, 'trace_an': 8}
-
id: 204370023
{'hecke_orbit_code': 40532396679892925, 'n': 24, 'trace_an': 18}
-
id: 204370024
{'hecke_orbit_code': 40532396679892925, 'n': 25, 'trace_an': 15}
-
id: 204370025
{'hecke_orbit_code': 40532396679892925, 'n': 26, 'trace_an': 20}
-
id: 204370026
{'hecke_orbit_code': 40532396679892925, 'n': 27, 'trace_an': 25}
-
id: 204370027
{'hecke_orbit_code': 40532396679892925, 'n': 28, 'trace_an': 9}
-
id: 204370028
{'hecke_orbit_code': 40532396679892925, 'n': 29, 'trace_an': 21}
-
id: 204370029
{'hecke_orbit_code': 40532396679892925, 'n': 30, 'trace_an': 13}
-
id: 204370030
{'hecke_orbit_code': 40532396679892925, 'n': 31, 'trace_an': 4}
-
id: 204370031
{'hecke_orbit_code': 40532396679892925, 'n': 32, 'trace_an': 27}
-
id: 204370032
{'hecke_orbit_code': 40532396679892925, 'n': 33, 'trace_an': 19}
-
id: 204370033
{'hecke_orbit_code': 40532396679892925, 'n': 34, 'trace_an': -6}
-
id: 204370034
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