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mf_newforms • Show schema
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{'Nk2': 1980, 'analytic_conductor': 8.821110089713935, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 55, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 4, 'char_parity': 1, 'char_values': [55, 4, [12, 46], [1, 2]], 'cm_discs': [], 'conrey_index': 32, 'dim': 52, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [215321154773083480612342333440000000000, 0, 0, 0, 137486121079236271824531514982400000000, 0, 0, 0, 10391833820542405383100041527296000000, 0, 0, 0, 136593023499946978309016080220160000, 0, 0, 0, 628272167335502479402788904960000, 0, 0, 0, 1276127441281929857591011840000, 0, 0, 0, 1383358676131774529162720000, 0, 0, 0, 880323681566082194589200, 0, 0, 0, 343539885297227163000, 0, 0, 0, 83201649184914825, 0, 0, 0, 12359132998700, 0, 0, 0, 1084701006, 0, 0, 0, 51268, 0, 0, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874605940791, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 0], [1, 1, 11, 2, -1, 2, 0], [1, 1, 55, 5, 1, 4, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '55.6.e.b', 'level': 55, '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': [5, 11], 'level_radical': 55, 'minimal_twist': '55.6.e.b', 'prim_orbit_index': 5, 'related_objects': [], 'relative_dim': 26, 'rm_discs': [], 'sato_tate_group': '5.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '55.6.e', 'trace_display': [0, 56, -48, 0], 'traces': [52, 0, 56, 0, -48, 0, 0, 0, 0, 0, -364, 4792, 0, 0, 2564, -6416, 0, 0, 0, 18272, 0, 2680, -144, 0, -12248, 2432, 3644, 0, 0, 0, 9672, 0, 30576, 0, 0, -148776, 24152, 4400, 0, 0, 0, -43480, 0, 0, -4984, 0, -44148, 26416, 0, 0, 0, 0, 75596, 0, 59092, 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label 55.6.e.b does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'Nk2': 1980, 'analytic_conductor': 8.821110089713935, 'char_conductor': 55, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 4, 'char_parity': 1, 'char_values': [55, 4, [12, 46], [1, 2]], 'conrey_index': 32, 'cusp_dim': 56, 'dim': 56, 'eis_dim': 8, 'eis_new_dim': 8, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274978570295, 'hecke_orbit_dims': [4, 52], 'label': '55.6.e', 'level': 55, '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': [5, 11], 'level_radical': 55, 'mf_dim': 64, 'mf_new_dim': 64, 'num_forms': 2, 'prim_orbit_index': 5, 'relative_dim': 28, 'sturm_bound': 36, 'trace_bound': 1, 'trace_display': [0, -6, -48, 0], 'traces': [56, 0, -6, 0, -48, 0, 0, 0, 0, 0, -364, 2808, 0, 0, 1116, -10512, 0, 0, 0, 14624, 0, 2680, -2106, 0, -6246, 2432, 4326, 0, 0, 0, 9672, 0, 27914, 0, 0, -117672, 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-698251656, 0, 0, 0, 0, 0], 'weight': 6, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 46704
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 52, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '55.6.e.b', 'source_level': 55, 'target_char_orbit': 5, 'target_dim': 52, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '55.6.e.b', 'target_level': 55, 'twist_class_label': '55.6.e.b', 'twist_class_level': 55, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 6}
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id: 46705
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 52, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '55.6.e.b', 'source_level': 55, 'target_char_orbit': 5, 'target_dim': 52, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '55.6.e.b', 'target_level': 55, 'twist_class_label': '55.6.e.b', 'twist_class_level': 55, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 6}
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id: 46706
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 52, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '55.6.e.b', 'source_level': 55, 'target_char_orbit': 5, 'target_dim': 52, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '55.6.e.b', 'target_level': 55, 'twist_class_label': '55.6.e.b', 'twist_class_level': 55, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 46707
{'conductor': 55, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 52, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '55.6.e.b', 'source_level': 55, 'target_char_orbit': 5, 'target_dim': 52, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '55.6.e.b', 'target_level': 55, 'twist_class_label': '55.6.e.b', 'twist_class_level': 55, 'twisting_char_label': '55.e', 'twisting_char_orbit': 5, 'weight': 6}
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hecke_orbit_code 4503874605940791 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '55.6.e.b', 'level': 55, 'portrait': 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', 'weight': 6}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 22234159
{'hecke_orbit_code': 4503874605940791, 'n': 1, 'trace_an': 52}
-
id: 22234160
{'hecke_orbit_code': 4503874605940791, 'n': 2, 'trace_an': 0}
-
id: 22234161
{'hecke_orbit_code': 4503874605940791, 'n': 3, 'trace_an': 56}
-
id: 22234162
{'hecke_orbit_code': 4503874605940791, 'n': 4, 'trace_an': 0}
-
id: 22234163
{'hecke_orbit_code': 4503874605940791, 'n': 5, 'trace_an': -48}
-
id: 22234164
{'hecke_orbit_code': 4503874605940791, 'n': 6, 'trace_an': 0}
-
id: 22234165
{'hecke_orbit_code': 4503874605940791, 'n': 7, 'trace_an': 0}
-
id: 22234166
{'hecke_orbit_code': 4503874605940791, 'n': 8, 'trace_an': 0}
-
id: 22234167
{'hecke_orbit_code': 4503874605940791, 'n': 9, 'trace_an': 0}
-
id: 22234168
{'hecke_orbit_code': 4503874605940791, 'n': 10, 'trace_an': 0}
-
id: 22234169
{'hecke_orbit_code': 4503874605940791, 'n': 11, 'trace_an': -364}
-
id: 22234170
{'hecke_orbit_code': 4503874605940791, 'n': 12, 'trace_an': 4792}
-
id: 22234171
{'hecke_orbit_code': 4503874605940791, 'n': 13, 'trace_an': 0}
-
id: 22234172
{'hecke_orbit_code': 4503874605940791, 'n': 14, 'trace_an': 0}
-
id: 22234173
{'hecke_orbit_code': 4503874605940791, 'n': 15, 'trace_an': 2564}
-
id: 22234174
{'hecke_orbit_code': 4503874605940791, 'n': 16, 'trace_an': -6416}
-
id: 22234175
{'hecke_orbit_code': 4503874605940791, 'n': 17, 'trace_an': 0}
-
id: 22234176
{'hecke_orbit_code': 4503874605940791, 'n': 18, 'trace_an': 0}
-
id: 22234177
{'hecke_orbit_code': 4503874605940791, 'n': 19, 'trace_an': 0}
-
id: 22234178
{'hecke_orbit_code': 4503874605940791, 'n': 20, 'trace_an': 18272}
-
id: 22234179
{'hecke_orbit_code': 4503874605940791, 'n': 21, 'trace_an': 0}
-
id: 22234180
{'hecke_orbit_code': 4503874605940791, 'n': 22, 'trace_an': 2680}
-
id: 22234181
{'hecke_orbit_code': 4503874605940791, 'n': 23, 'trace_an': -144}
-
id: 22234182
{'hecke_orbit_code': 4503874605940791, 'n': 24, 'trace_an': 0}
-
id: 22234183
{'hecke_orbit_code': 4503874605940791, 'n': 25, 'trace_an': -12248}
-
id: 22234184
{'hecke_orbit_code': 4503874605940791, 'n': 26, 'trace_an': 2432}
-
id: 22234185
{'hecke_orbit_code': 4503874605940791, 'n': 27, 'trace_an': 3644}
-
id: 22234186
{'hecke_orbit_code': 4503874605940791, 'n': 28, 'trace_an': 0}
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