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mf_newforms • Show schema
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{'Nk2': 450, 'analytic_conductor': 1.3624013218014845, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 25, 'char_degree': 8, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 20, 'char_parity': -1, 'char_values': [50, 20, [27], [7]], 'cm_discs': [], 'conrey_index': 3, 'conrey_indexes': [3, 13, 17, 23, 27, 33, 37, 47], 'dim': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [533794816, -6194089984, 21980243968, -26029292288, 42450018944, -79981159424, 81921898056, -35942749252, 22476764137, -341910426, 499676343, 797421058, -107178391, 15114476, 2117552, -1616938, 7797, -106064, 23674, 2798, 104, -96, -18, -2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503943275085874, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 25, 6, -1, 20, 0]], 'is_cm': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '50.3.f.b', 'level': 50, 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label 50.3.f.b does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'Nk2': 450, 'analytic_conductor': 1.3624013218014845, 'char_conductor': 25, 'char_degree': 8, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 20, 'char_parity': -1, 'char_values': [50, 20, [27], [7]], 'conrey_index': 3, 'cusp_dim': 104, 'dim': 40, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 343647715378, 'hecke_orbit_dims': [16, 24], 'label': '50.3.f', 'level': 50, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 136, 'mf_new_dim': 40, 'num_forms': 2, 'prim_orbit_index': 6, 'relative_dim': 5, 'sturm_bound': 22, 'trace_bound': 1, 'trace_display': [2, 4, 0, -4], 'traces': [40, 2, 4, 0, 0, 0, -4, -4, 0, 10, 0, 8, -6, 0, -20, 40, -154, -152, -200, -40, 0, -96, -36, 0, 110, -20, 220, 88, 200, 240, 0, 32, 328, 250, 200, -60, -54, 40, -400, 20, 80, -16, -156, 0, -330, 0, -44, -16, 0, -50, 0, -12, 74, 0, 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760, -2400, -480, 13940, -596, -9012, 0, -2030, 8000, 4384, 320, -13200, -3920, 8300, -5172, -4492, -1400, -9620, -600, -9664, -10496, -3500, -3800, -3750, -6136, 1228, 1200, -9340, 1120, -1584, -2320, 0, -2520, 2520, 4368, -526, -850, 13160, 720, 3580, 480, 4000, -160, -7030, 2454, 8664, 1300, -2320, -2200, 8056, 848, 1900, 1650, -1520, -3072, 4820, 0, 3180, 480, 3306, -624, 9300, 4320, -5750, 1704, 7124, -4000, 6150, 1280, 2192, -1600, -1300, -5240, 3640, -1696, -932, -400, -2060, -880, -3634, 4080, 0, -1940], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 41726
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 24, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '50.3.f.b', 'source_level': 50, 'target_char_orbit': 6, 'target_dim': 24, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '50.3.f.b', 'target_level': 50, 'twist_class_label': '50.3.f.b', 'twist_class_level': 50, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 41727
{'conductor': 25, 'degree': 8, 'multiplicity': 1, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 24, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '50.3.f.b', 'source_level': 50, 'target_char_orbit': 6, 'target_dim': 24, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '50.3.f.b', 'target_level': 50, 'twist_class_label': '50.3.f.b', 'twist_class_level': 50, 'twisting_char_label': '25.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 41728
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 24, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '50.3.f.b', 'source_level': 50, 'target_char_orbit': 6, 'target_dim': 24, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '250.3.f.d', 'target_level': 250, 'twist_class_label': '50.3.f.b', 'twist_class_level': 50, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 41729
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 24, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '50.3.f.b', 'source_level': 50, 'target_char_orbit': 6, 'target_dim': 24, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '250.3.f.d', 'target_level': 250, 'twist_class_label': '50.3.f.b', 'twist_class_level': 50, 'twisting_char_label': '25.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 41730
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 24, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '50.3.f.b', 'source_level': 50, 'target_char_orbit': 6, 'target_dim': 24, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '250.3.f.e', 'target_level': 250, 'twist_class_label': '50.3.f.b', 'twist_class_level': 50, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 41731
{'conductor': 25, 'degree': 8, 'multiplicity': 1, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 24, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '50.3.f.b', 'source_level': 50, 'target_char_orbit': 6, 'target_dim': 24, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '250.3.f.e', 'target_level': 250, 'twist_class_label': '50.3.f.b', 'twist_class_level': 50, 'twisting_char_label': '25.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 41732
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 24, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '50.3.f.b', 'source_level': 50, 'target_char_orbit': 6, 'target_dim': 24, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '250.3.f.f', 'target_level': 250, 'twist_class_label': '50.3.f.b', 'twist_class_level': 50, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 41733
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 24, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '50.3.f.b', 'source_level': 50, 'target_char_orbit': 6, 'target_dim': 24, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '250.3.f.f', 'target_level': 250, 'twist_class_label': '50.3.f.b', 'twist_class_level': 50, 'twisting_char_label': '25.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 41734
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 24, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '50.3.f.b', 'source_level': 50, 'target_char_orbit': 33, 'target_dim': 24, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '400.3.bg.b', 'target_level': 400, 'twist_class_label': '50.3.f.b', 'twist_class_level': 50, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 41735
{'conductor': 100, 'degree': 8, 'multiplicity': 1, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 24, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '50.3.f.b', 'source_level': 50, 'target_char_orbit': 33, 'target_dim': 24, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '400.3.bg.b', 'target_level': 400, 'twist_class_label': '50.3.f.b', 'twist_class_level': 50, 'twisting_char_label': '100.l', 'twisting_char_orbit': 12, 'weight': 3}
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hecke_orbit_code 4503943275085874 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 2, 'label': '50.3.f.b', 'level': 50, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 87180000
{'hecke_orbit_code': 4503943275085874, 'n': 1, 'trace_an': 24}
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id: 87180001
{'hecke_orbit_code': 4503943275085874, 'n': 2, 'trace_an': 6}
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id: 87180002
{'hecke_orbit_code': 4503943275085874, 'n': 3, 'trace_an': 2}
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id: 87180003
{'hecke_orbit_code': 4503943275085874, 'n': 4, 'trace_an': 0}
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id: 87180004
{'hecke_orbit_code': 4503943275085874, 'n': 5, 'trace_an': 0}
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id: 87180005
{'hecke_orbit_code': 4503943275085874, 'n': 6, 'trace_an': -4}
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id: 87180006
{'hecke_orbit_code': 4503943275085874, 'n': 7, 'trace_an': -2}
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id: 87180007
{'hecke_orbit_code': 4503943275085874, 'n': 8, 'trace_an': -12}
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id: 87180008
{'hecke_orbit_code': 4503943275085874, 'n': 9, 'trace_an': 40}
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id: 87180009
{'hecke_orbit_code': 4503943275085874, 'n': 10, 'trace_an': 0}
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id: 87180010
{'hecke_orbit_code': 4503943275085874, 'n': 11, 'trace_an': -32}
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id: 87180011
{'hecke_orbit_code': 4503943275085874, 'n': 12, 'trace_an': 4}
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id: 87180012
{'hecke_orbit_code': 4503943275085874, 'n': 13, 'trace_an': 2}
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id: 87180013
{'hecke_orbit_code': 4503943275085874, 'n': 14, 'trace_an': 30}
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id: 87180014
{'hecke_orbit_code': 4503943275085874, 'n': 15, 'trace_an': -20}
-
id: 87180015
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