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{'Nk2': 37008, 'analytic_conductor': 164.87456676774408, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [257, 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': [1028, 1, [515, 517], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 57, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_orbit': 2, 'hecke_orbit_code': 4503599728034820, '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': '1028.6.a.b', 'level': 1028, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 257], 'level_radical': 514, 'minimal_twist': '1028.6.a.b', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 57, 'rm_discs': [], 'sato_tate_group': '5.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1028.6.a', 'trace_display': [0, 27, 61, 88], 'traces': [57, 0, 27, 0, 61, 0, 88, 0, 5374, 0, 484, 0, 3162, 0, -244, 0, 3298, 0, 2931, 0, 5009, 0, 3712, 0, 48568, 0, 8682, 0, 10909, 0, -3539, 0, 13277, 0, 13976, 0, 42395, 0, -14986, 0, -8469, 0, 69808, 0, 26347, 0, 12410, 0, 203347, 0, 24220, 0, 49353, 0, -34265, 0, 98112, 0, -9792, 0, 157032, 0, 24981, 0, 16143, 0, 20201, 0, -113743, 0, -229673, 0, -19561, 0, -482061, 0, 21204, 0, -10925, 0, 323569, 0, -62846, 0, 218157, 0, -169628, 0, 69901, 0, 56581, 0, 177641, 0, -192910, 0, 277990, 0, 424882, 0, 271151, 0, 151160, 0, 307139, 0, 294650, 0, 653306, 0, 282244, 0, 767535, 0, 832604, 0, 1329981, 0, 355107, 0, 2009451, 0, 1358287, 0, 800145, 0, -36352, 0, 1183862, 0, 921142, 0, 1284497, 0, 1102438, 0, 1560894, 0, 1062797, 0, 1116411, 0, 1425286, 0, 1610932, 0, 1593485, 0, 988294, 0, 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label 1028.6.a.b does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [257, -1]], 49, 1], [[[2, -1], [257, 1]], 57, 1]], 'ALdims': [0, 0, 57, 49], 'Nk2': 37008, 'analytic_conductor': 164.87456676774408, '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': [1028, 1, [515, 517], [1, 1]], 'conrey_index': 1, 'cusp_dim': 642, 'dim': 106, 'eis_dim': 6, 'eis_new_dim': 0, 'hecke_orbit_code': 100664324, 'hecke_orbit_dims': [49, 57], 'label': '1028.6.a', 'level': 1028, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 257], 'level_radical': 514, 'mf_dim': 648, 'mf_new_dim': 106, 'num_forms': 2, 'plus_dim': 49, 'prim_orbit_index': 1, 'relative_dim': 106, 'sturm_bound': 774, 'trace_bound': 1, 'trace_display': [0, 0, -28, 176], 'traces': [106, 0, 0, 0, -28, 0, 176, 0, 8804, 0, 0, 0, 240, 0, -488, 0, -340, 0, -636, 0, 1198, 0, 7424, 0, 62136, 0, -132, 0, 4998, 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mf_twists_nf • Show schema
Hide schema
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 57, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1028.6.a.b', 'source_level': 1028, 'target_char_orbit': 1, 'target_dim': 57, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1028.6.a.b', 'target_level': 1028, 'twist_class_label': '1028.6.a.b', 'twist_class_level': 1028, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 6}
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hecke_orbit_code 4503599728034820 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '1028.6.a.b', 'level': 1028, 'portrait': 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', 'weight': 6}
-
mf_hecke_traces • Show schema
Hide schema
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id: 75585000
{'hecke_orbit_code': 4503599728034820, 'n': 1, 'trace_an': 57}
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id: 75585001
{'hecke_orbit_code': 4503599728034820, 'n': 2, 'trace_an': 0}
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id: 75585002
{'hecke_orbit_code': 4503599728034820, 'n': 3, 'trace_an': 27}
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id: 75585003
{'hecke_orbit_code': 4503599728034820, 'n': 4, 'trace_an': 0}
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id: 75585004
{'hecke_orbit_code': 4503599728034820, 'n': 5, 'trace_an': 61}
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id: 75585005
{'hecke_orbit_code': 4503599728034820, 'n': 6, 'trace_an': 0}
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id: 75585006
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