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{'Nk2': 16116, 'analytic_conductor': 32.17172697437387, 'analytic_rank': 1, '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, 'dim': 22, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-8, -78, 350, 2286, -5812, -13790, 21542, 33434, -37344, -42176, 36947, 30865, -22609, -13727, 8820, 3744, -2187, -609, 332, 54, -28, -2, 1]], [5, [15, 495, -1976, -40390, 121150, 574166, -1678686, 297333, 2248668, -1328395, -1108032, 976013, 220795, -325019, -3811, 57103, -5209, -5416, 798, 261, -47, -5, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797781437, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4029.2.a.g', 'level': 4029, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 17, 79], 'level_radical': 4029, 'minimal_twist': '4029.2.a.g', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 22, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4029.2.a', 'trace_display': [2, -22, 5, -4], 'traces': [22, 2, -22, 16, 5, -2, -4, 6, 22, -5, -2, -16, -11, -7, -5, 0, -22, 2, -36, 0, 4, -9, 21, -6, 9, -16, -22, -17, -1, 5, -12, -11, 2, -2, -14, 16, -6, 1, 11, -24, -17, 7, -36, 16, 5, -23, -17, 0, -6, -33, 22, -57, -2, -2, -24, -64, 36, -7, -59, 0, -30, -4, -4, -22, 36, 9, -16, -16, -21, -39, -11, 6, -19, -28, -9, -77, 2, 16, -22, -2, 22, 33, -23, 17, -5, 6, 1, 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20, 'dual_embedding_m': 20, 'embedding_index': 20, 'embedding_m': 20, 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797781437, 'label': '4029.2.a.g.1.20', 'level': 4029, 'weight': 2}
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mf_newspaces • Show schema
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{'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_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 17, 79], 'level_radical': 4029, 'mf_dim': 484, 'mf_new_dim': 207, 'num_forms': 12, 'plus_dim': 94, 'prim_orbit_index': 1, 'relative_dim': 207, 'sturm_bound': 960, 'trace_bound': 5, 'trace_display': [-3, -1, -6, -8], 'traces': [207, -3, -1, 201, -6, -3, -8, 9, 207, 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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': 22, 'source_embedding_index': 20, 'source_hecke_orbit_code': 27021597797781437, 'source_is_minimal': True, 'source_label': '4029.2.a.g.1.20', 'source_level': 4029, 'target_conrey_index': 1, 'target_dim': 22, 'target_embedding_index': 20, 'target_hecke_orbit_code': 27021597797781437, 'target_is_minimal': True, 'target_label': '4029.2.a.g.1.20', 'target_level': 4029, 'twist_class_label': '4029.2.a.g.1.20', 'twist_class_level': 4029, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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hecke_orbit_code 27021597797781437 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': 7, 'label': '4029.2.a.g', 'level': 4029, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 45575677
{'hecke_orbit_code': 27021597797781437, 'n': 1, 'trace_an': 22}
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id: 45575678
{'hecke_orbit_code': 27021597797781437, 'n': 2, 'trace_an': 2}
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id: 45575679
{'hecke_orbit_code': 27021597797781437, 'n': 3, 'trace_an': -22}
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id: 45575680
{'hecke_orbit_code': 27021597797781437, 'n': 4, 'trace_an': 16}
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id: 45575681
{'hecke_orbit_code': 27021597797781437, 'n': 5, 'trace_an': 5}
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id: 45575682
{'hecke_orbit_code': 27021597797781437, 'n': 6, 'trace_an': -2}
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id: 45575683
{'hecke_orbit_code': 27021597797781437, 'n': 7, 'trace_an': -4}
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id: 45575684
{'hecke_orbit_code': 27021597797781437, 'n': 8, 'trace_an': 6}
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id: 45575685
{'hecke_orbit_code': 27021597797781437, 'n': 9, 'trace_an': 22}
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id: 45575686
{'hecke_orbit_code': 27021597797781437, 'n': 10, 'trace_an': -5}
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id: 45575687
{'hecke_orbit_code': 27021597797781437, 'n': 11, 'trace_an': -2}
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id: 45575688
{'hecke_orbit_code': 27021597797781437, 'n': 12, 'trace_an': -16}
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id: 45575689
{'hecke_orbit_code': 27021597797781437, 'n': 13, 'trace_an': -11}
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id: 45575690
{'hecke_orbit_code': 27021597797781437, 'n': 14, 'trace_an': -7}
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id: 45575691
{'hecke_orbit_code': 27021597797781437, 'n': 15, 'trace_an': -5}
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id: 45575692
{'hecke_orbit_code': 27021597797781437, 'n': 16, 'trace_an': 0}
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id: 45575693
{'hecke_orbit_code': 27021597797781437, 'n': 17, 'trace_an': -22}
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id: 45575694
{'hecke_orbit_code': 27021597797781437, 'n': 18, 'trace_an': 2}
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id: 45575695
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