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mf_newforms • Show schema
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{'Nk2': 1500, 'analytic_conductor': 2.994390075798014, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 25, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 10, 'char_parity': 1, 'char_values': [375, 10, [251, 127], [10, 7]], 'cm_discs': [], 'conrey_index': 49, 'dim': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, 4, 0, 1932, 0, -58037, 0, 681588, 0, -147172, 0, 64293, 0, -19372, 0, 4268, 0, -717, 0, 132, 0, -16, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511348671480183, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 25, 4, 1, 5, 0], [1, 1, 25, 5, 1, 10, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '375.2.i.d', 'level': 375, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1500, 'analytic_conductor': 2.994390075798014, 'char_conductor': 25, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 10, 'char_parity': 1, 'char_values': [375, 10, [251, 127], [10, 7]], 'conrey_index': 49, 'cusp_dim': 160, 'dim': 64, 'eis_dim': 80, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 549789368695, 'hecke_orbit_dims': [8, 16, 16, 24], 'label': '375.2.i', 'level': 375, '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': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 240, 'mf_new_dim': 64, 'num_forms': 4, 'prim_orbit_index': 5, 'relative_dim': 16, 'sturm_bound': 100, 'trace_bound': 4, 'trace_display': [0, 0, 0, 0], 'traces': [64, 0, 0, 18, 0, -2, 0, 30, 16, 0, 6, 0, 0, 12, 0, -10, -10, 0, 2, 0, -4, 30, 20, -24, 0, -52, 0, -30, 24, 0, -6, 0, -10, -24, 0, -18, 10, -30, 8, 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-50, -208, 0, 108, 0, -270, 300, 0, 398, -40, 180, -72, 0, 168, 70, 0, -26, 0, 480, -80, -200, -56, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43357094
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 24, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511348671480183, 'source_is_minimal': False, 'source_label': '375.2.i.d.49.3', 'source_level': 375, 'target_conrey_index': 49, 'target_dim': 24, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511348671480183, 'target_is_minimal': False, 'target_label': '375.2.i.d.49.3', 'target_level': 375, 'twist_class_label': '75.2.g.c.16.2', 'twist_class_level': 75, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43357095
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 24, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511348671480183, 'source_is_minimal': False, 'source_label': '375.2.i.d.49.3', 'source_level': 375, 'target_conrey_index': 76, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007611605156215, 'target_is_minimal': False, 'target_label': '375.2.g.c.76.2', 'target_level': 375, 'twist_class_label': '75.2.g.c.16.2', 'twist_class_level': 75, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43357096
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 24, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511348671480183, 'source_is_minimal': False, 'source_label': '375.2.i.d.49.3', 'source_level': 375, 'target_conrey_index': 16, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007611605155915, 'target_is_minimal': True, 'target_label': '75.2.g.c.16.2', 'target_level': 75, 'twist_class_label': '75.2.g.c.16.2', 'twist_class_level': 75, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43357097
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 24, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511348671480183, 'source_is_minimal': False, 'source_label': '375.2.i.d.49.3', 'source_level': 375, 'target_conrey_index': 49, 'target_dim': 24, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511348671480183, 'target_is_minimal': False, 'target_label': '375.2.i.d.49.4', 'target_level': 375, 'twist_class_label': '75.2.g.c.16.2', 'twist_class_level': 75, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43357098
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 24, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511348671480183, 'source_is_minimal': False, 'source_label': '375.2.i.d.49.3', 'source_level': 375, 'target_conrey_index': 91, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511279952003297, 'target_is_minimal': False, 'target_label': '225.2.h.d.91.2', 'target_level': 225, 'twist_class_label': '75.2.g.c.16.2', 'twist_class_level': 75, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 43357099
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 24, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511348671480183, 'source_is_minimal': False, 'source_label': '375.2.i.d.49.3', 'source_level': 375, 'target_conrey_index': 301, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007611605156215, 'target_is_minimal': False, 'target_label': '375.2.g.c.301.2', 'target_level': 375, 'twist_class_label': '75.2.g.c.16.2', 'twist_class_level': 75, 'twisting_char_label': '25.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43357100
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 24, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511348671480183, 'source_is_minimal': False, 'source_label': '375.2.i.d.49.3', 'source_level': 375, 'target_conrey_index': 1249, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 22518066889885523, 'target_is_minimal': False, 'target_label': '1875.2.b.f.1249.6', 'target_level': 1875, 'twist_class_label': '75.2.g.c.16.2', 'twist_class_level': 75, 'twisting_char_label': '25.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 43357101
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 24, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511348671480183, 'source_is_minimal': False, 'source_label': '375.2.i.d.49.3', 'source_level': 375, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532396679890771, 'target_is_minimal': False, 'target_label': '1875.2.a.j.1.3', 'target_level': 1875, 'twist_class_label': '75.2.g.c.16.2', 'twist_class_level': 75, 'twisting_char_label': '25.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 43357102
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 24, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511348671480183, 'source_is_minimal': False, 'source_label': '375.2.i.d.49.3', 'source_level': 375, 'target_conrey_index': 199, 'target_dim': 24, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511348671480183, 'target_is_minimal': False, 'target_label': '375.2.i.d.199.4', 'target_level': 375, 'twist_class_label': '75.2.g.c.16.2', 'twist_class_level': 75, 'twisting_char_label': '25.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43357103
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 24, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511348671480183, 'source_is_minimal': False, 'source_label': '375.2.i.d.49.3', 'source_level': 375, 'target_conrey_index': 199, 'target_dim': 24, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511348671480183, 'target_is_minimal': False, 'target_label': '375.2.i.d.199.3', 'target_level': 375, 'twist_class_label': '75.2.g.c.16.2', 'twist_class_level': 75, 'twisting_char_label': '25.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 43357104
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 24, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511348671480183, 'source_is_minimal': False, 'source_label': '375.2.i.d.49.3', 'source_level': 375, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45035996307261267, 'target_is_minimal': False, 'target_label': '1875.2.a.k.1.4', 'target_level': 1875, 'twist_class_label': '75.2.g.c.16.2', 'twist_class_level': 75, 'twisting_char_label': '25.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 43357105
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 24, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511348671480183, 'source_is_minimal': False, 'source_label': '375.2.i.d.49.3', 'source_level': 375, 'target_conrey_index': 1249, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 22518066889885523, 'target_is_minimal': False, 'target_label': '1875.2.b.f.1249.7', 'target_level': 1875, 'twist_class_label': '75.2.g.c.16.2', 'twist_class_level': 75, 'twisting_char_label': '25.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 43357106
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 24, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511348671480183, 'source_is_minimal': False, 'source_label': '375.2.i.d.49.3', 'source_level': 375, 'target_conrey_index': 61, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007611605155915, 'target_is_minimal': True, 'target_label': '75.2.g.c.61.2', 'target_level': 75, 'twist_class_label': '75.2.g.c.16.2', 'twist_class_level': 75, 'twisting_char_label': '25.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 43357107
{'conductor': 75, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 24, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511348671480183, 'source_is_minimal': False, 'source_label': '375.2.i.d.49.3', 'source_level': 375, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 67553994444117497, 'target_is_minimal': False, 'target_label': '5625.2.a.p.1.4', 'target_level': 5625, 'twist_class_label': '75.2.g.c.16.2', 'twist_class_level': 75, 'twisting_char_label': '75.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 43357108
{'conductor': 75, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 24, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511348671480183, 'source_is_minimal': False, 'source_label': '375.2.i.d.49.3', 'source_level': 375, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 72057594071487993, 'target_is_minimal': False, 'target_label': '5625.2.a.q.1.3', 'target_level': 5625, 'twist_class_label': '75.2.g.c.16.2', 'twist_class_level': 75, 'twisting_char_label': '75.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 43357109
{'conductor': 75, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 24, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511348671480183, 'source_is_minimal': False, 'source_label': '375.2.i.d.49.3', 'source_level': 375, 'target_conrey_index': 136, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511279952003297, 'target_is_minimal': False, 'target_label': '225.2.h.d.136.2', 'target_level': 225, 'twist_class_label': '75.2.g.c.16.2', 'twist_class_level': 75, 'twisting_char_label': '75.23', 'twisting_conrey_index': 23, 'weight': 2}
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hecke_orbit_code 13511348671480183 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 4, 'label': '375.2.i.d', 'level': 375, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 36955381
{'hecke_orbit_code': 13511348671480183, 'n': 1, 'trace_an': 24}
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id: 36955382
{'hecke_orbit_code': 13511348671480183, 'n': 2, 'trace_an': 0}
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id: 36955383
{'hecke_orbit_code': 13511348671480183, 'n': 3, 'trace_an': 0}
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id: 36955384
{'hecke_orbit_code': 13511348671480183, 'n': 4, 'trace_an': 20}
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id: 36955385
{'hecke_orbit_code': 13511348671480183, 'n': 5, 'trace_an': 0}
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id: 36955386
{'hecke_orbit_code': 13511348671480183, 'n': 6, 'trace_an': 0}
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id: 36955387
{'hecke_orbit_code': 13511348671480183, 'n': 7, 'trace_an': 0}
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id: 36955388
{'hecke_orbit_code': 13511348671480183, 'n': 8, 'trace_an': 0}
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id: 36955389
{'hecke_orbit_code': 13511348671480183, 'n': 9, 'trace_an': 6}
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id: 36955390
{'hecke_orbit_code': 13511348671480183, 'n': 10, 'trace_an': 0}
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id: 36955391
{'hecke_orbit_code': 13511348671480183, 'n': 11, 'trace_an': -8}
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id: 36955392
{'hecke_orbit_code': 13511348671480183, 'n': 12, 'trace_an': 0}
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id: 36955393
{'hecke_orbit_code': 13511348671480183, 'n': 13, 'trace_an': 0}
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id: 36955394
{'hecke_orbit_code': 13511348671480183, 'n': 14, 'trace_an': -12}
-
id: 36955395
{'hecke_orbit_code': 13511348671480183, 'n': 15, 'trace_an': 0}
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id: 36955396
{'hecke_orbit_code': 13511348671480183, 'n': 16, 'trace_an': 32}
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id: 36955397
{'hecke_orbit_code': 13511348671480183, 'n': 17, 'trace_an': 0}
-
id: 36955398
{'hecke_orbit_code': 13511348671480183, 'n': 18, 'trace_an': 0}
-
id: 36955399
{'hecke_orbit_code': 13511348671480183, 'n': 19, 'trace_an': -14}
-
id: 36955400
{'hecke_orbit_code': 13511348671480183, 'n': 20, 'trace_an': 0}
-
id: 36955401
{'hecke_orbit_code': 13511348671480183, 'n': 21, 'trace_an': -6}
-
id: 36955402
{'hecke_orbit_code': 13511348671480183, 'n': 22, 'trace_an': 0}
-
id: 36955403
{'hecke_orbit_code': 13511348671480183, 'n': 23, 'trace_an': 0}
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id: 36955404
{'hecke_orbit_code': 13511348671480183, 'n': 24, 'trace_an': -12}
-
id: 36955405
{'hecke_orbit_code': 13511348671480183, 'n': 25, 'trace_an': 0}
-
id: 36955406
{'hecke_orbit_code': 13511348671480183, 'n': 26, 'trace_an': -112}
-
id: 36955407
{'hecke_orbit_code': 13511348671480183, 'n': 27, 'trace_an': 0}
-
id: 36955408
{'hecke_orbit_code': 13511348671480183, 'n': 28, 'trace_an': 0}
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