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mf_newforms • Show schema
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{'Nk2': 6125, 'analytic_conductor': 28.756760452481373, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 4, 'char_parity': -1, 'char_values': [125, 4, [2], [1]], 'cm_discs': [], 'conrey_index': 57, 'conrey_indexes': [57, 68], 'dim': 48, 'has_non_self_twist': 1, 'hecke_orbit': 2, 'hecke_orbit_code': 4503737183764605, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 2, 5, 3, -1, 4, 0]], 'is_cm': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '125.7.c.b', 'level': 125, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5], 'level_radical': 5, 'minimal_twist': '125.7.c.b', 'prim_orbit_index': 3, 'related_objects': [], 'relative_dim': 24, 'rm_discs': [], 'sato_tate_group': '6.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '125.7.c', 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, 0, 0, -24, 0, 0, 0, 0, 2096, 0, 0, 0, 0, -10752, 0, 0, 0, 0, -121144, 0, 0, 0, 0, 315016, 0, 0, 0, 0, -125904, 0, 0, 0, 0, 232528, 0, 0, 0, 0, 129376, 0, 0, 0, 0, -1748184, 0, 0, 0, 0, 1011936, 0, 0, 0, 0, -686880, 0, 0, 0, 0, 377376, 0, 0, 0, 0, 3335952, 0, 0, 0, 0, -1555344, 0, 0, 0, 0, 3642240, 0, 0, 0, 0, -5954232, 0, 0, 0, 0, -3627344, 0, 0, 0, 0, 2679936, 0, 0, 0, 0, 3114976, 0, 0, 0, 0, 1542936, 0, 0, 0, 0, -14702304, 0, 0, 0, 0, 3164016, 0, 0, 0, 0, 15517600, 0, 0, 0, 0, 21189264, 0, 0, 0, 0, -33200144, 0, 0, 0, 0, 4610656, 0, 0, 0, 0, 466080, 0, 0, 0, 0, -9374184, 0, 0, 0, 0, 41242856, 0, 0, 0, 0, -52714464, 0, 0, 0, 0, 9789616, 0, 0, 0, 0, -21462024, 0, 0, 0, 0, 29525136, 0, 0, 0, 0, 68232640, 0, 0, 0, 0, -45842504, 0, 0, 0, 0, -39989064, 0, 0, 0, 0, -10074048, 0, 0, 0, 0, 27056656, 0, 0, 0, 0, 8883552, 0, 0, 0, 0, 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label 125.7.c.b does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'Nk2': 6125, 'analytic_conductor': 28.756760452481373, 'char_conductor': 5, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 4, 'char_parity': -1, 'char_values': [125, 4, [2], [1]], 'conrey_index': 57, 'cusp_dim': 140, 'dim': 96, 'eis_dim': 20, 'eis_new_dim': 0, 'hecke_orbit_code': 137556394109, 'hecke_orbit_dims': [48, 48], 'label': '125.7.c', 'level': 125, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5], 'level_radical': 5, 'mf_dim': 160, 'mf_new_dim': 96, 'num_forms': 2, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 87, 'trace_bound': 6, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, -548, 0, 0, 0, 0, -1048, 0, 0, 0, 0, -101124, 0, 0, 0, 0, -73928, 0, 0, 0, 0, 76632, 0, 0, 0, 0, -254928, 0, 0, 0, 0, 735936, 0, 0, 0, 0, -105368, 0, 0, 0, 0, -1394988, 0, 0, 0, 0, 1508512, 0, 0, 0, 0, 1150620, 0, 0, 0, 0, 286752, 0, 0, 0, 0, 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17737087004, 0, 0, 0, 0, 14019171952, 0, 0, 0, 0, 4381824060, 0, 0, 0, 0, 14496232872, 0, 0, 0, 0, -10916083668, 0, 0, 0, 0, 4299893640, 0, 0, 0, 0, -19906388520, 0, 0, 0, 0, -13722291568, 0, 0, 0, 0, -13339040436, 0, 0, 0, 0, 15690477712, 0, 0, 0, 0, 845064980, 0, 0, 0, 0, 3887783328, 0, 0, 0, 0, 11457739384, 0, 0, 0, 0, -7840079688, 0, 0, 0, 0, -9742765188, 0, 0, 0, 0, 20021629280, 0, 0, 0, 0, 6204673420, 0, 0, 0, 0, -1493229168, 0, 0, 0, 0, 5047945992, 0, 0, 0, 0], 'weight': 7, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 106958
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 48, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '125.7.c.b', 'source_level': 125, 'target_char_orbit': 3, 'target_dim': 48, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '125.7.c.b', 'target_level': 125, 'twist_class_label': '125.7.c.b', 'twist_class_level': 125, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 7}
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id: 106959
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 48, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '125.7.c.b', 'source_level': 125, 'target_char_orbit': 3, 'target_dim': 48, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '125.7.c.b', 'target_level': 125, 'twist_class_label': '125.7.c.b', 'twist_class_level': 125, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 7}
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id: 106960
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 48, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '125.7.c.b', 'source_level': 125, 'target_char_orbit': 3, 'target_dim': 48, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '125.7.c.b', 'target_level': 125, 'twist_class_label': '125.7.c.b', 'twist_class_level': 125, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 7}
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hecke_orbit_code 4503737183764605 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 2, 'label': '125.7.c.b', 'level': 125, 'portrait': 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', 'weight': 7}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 82355000
{'hecke_orbit_code': 4503737183764605, 'n': 1, 'trace_an': 48}
-
id: 82355001
{'hecke_orbit_code': 4503737183764605, 'n': 2, 'trace_an': 0}
-
id: 82355002
{'hecke_orbit_code': 4503737183764605, 'n': 3, 'trace_an': 0}
-
id: 82355003
{'hecke_orbit_code': 4503737183764605, 'n': 4, 'trace_an': 0}
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id: 82355004
{'hecke_orbit_code': 4503737183764605, 'n': 5, 'trace_an': 0}
-
id: 82355005
{'hecke_orbit_code': 4503737183764605, 'n': 6, 'trace_an': -24}
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id: 82355006
{'hecke_orbit_code': 4503737183764605, 'n': 7, 'trace_an': 0}
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id: 82355007
{'hecke_orbit_code': 4503737183764605, 'n': 8, 'trace_an': 0}
-
id: 82355008
{'hecke_orbit_code': 4503737183764605, 'n': 9, 'trace_an': 0}
-
id: 82355009
{'hecke_orbit_code': 4503737183764605, 'n': 10, 'trace_an': 0}
-
id: 82355010
{'hecke_orbit_code': 4503737183764605, 'n': 11, 'trace_an': 2096}
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id: 82355011
{'hecke_orbit_code': 4503737183764605, 'n': 12, 'trace_an': 0}
-
id: 82355012
{'hecke_orbit_code': 4503737183764605, 'n': 13, 'trace_an': 0}
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id: 82355013
{'hecke_orbit_code': 4503737183764605, 'n': 14, 'trace_an': 0}
-
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id: 82355987
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id: 82355988
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id: 82355989
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id: 82355990
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id: 82355991
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id: 82355992
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id: 82355993
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id: 82355994
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id: 82355995
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id: 82355996
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id: 82355997
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id: 82355998
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id: 82355999
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