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mf_newforms • Show schema
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{'Nk2': 16704, 'analytic_conductor': 33.345527884086685, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 29, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 15, 'char_orbit_label': 'o', 'char_order': 2, 'char_parity': 1, 'char_values': [4176, 2, [1567, 1045, 929, 4033], [2, 2, 2, 1]], 'cm_discs': [], 'conrey_index': 289, 'conrey_indexes': [289], 'dim': 4, 'field_disc': 17424, 'field_disc_factorization': [[2, 4], [3, 2], [11, 2]], 'field_poly': [64, 0, 17, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [-6, -3, 1]], [7, [3, 1]], [11, [16, 0, 41, 0, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63051356889419856, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 29, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4176.2.o.o', 'level': 4176, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 29], 'level_radical': 174, 'minimal_twist': '696.2.o.c', 'nf_label': '4.0.17424.1', 'prim_orbit_index': 2, 'qexp_display': 'q+(2-\\beta _{3})q^{5}-3q^{7}+(-\\beta _{1}-4\\beta _{2}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4176.2.o', 'trace_display': [0, 0, 6, -12], 'trace_hash': 356675478271271447, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.036', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.802', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.053', 'prec': 17}, {'__RealLiteral__': 0, 'data': '73.604', 'prec': 20}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
Hide schema
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mf_twists_nf • Show schema
Hide schema
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id: 1192407
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4176.2.o.o', 'source_level': 4176, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '696.2.o.c', 'target_level': 696, 'twist_class_label': '696.2.o.c', 'twist_class_level': 696, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1192408
{'conductor': 348, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4176.2.o.o', 'source_level': 4176, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '696.2.o.c', 'target_level': 696, 'twist_class_label': '696.2.o.c', 'twist_class_level': 696, 'twisting_char_label': '348.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1192409
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4176.2.o.o', 'source_level': 4176, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1392.2.o.g', 'target_level': 1392, 'twist_class_label': '696.2.o.c', 'twist_class_level': 696, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1192410
{'conductor': 87, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4176.2.o.o', 'source_level': 4176, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1392.2.o.g', 'target_level': 1392, 'twist_class_label': '696.2.o.c', 'twist_class_level': 696, 'twisting_char_label': '87.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1192411
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4176.2.o.o', 'source_level': 4176, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2088.2.o.c', 'target_level': 2088, 'twist_class_label': '696.2.o.c', 'twist_class_level': 696, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1192412
{'conductor': 116, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4176.2.o.o', 'source_level': 4176, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2088.2.o.c', 'target_level': 2088, 'twist_class_label': '696.2.o.c', 'twist_class_level': 696, 'twisting_char_label': '116.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1192413
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 15, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4176.2.o.o', 'source_level': 4176, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '4176.2.o.o', 'target_level': 4176, 'twist_class_label': '696.2.o.c', 'twist_class_level': 696, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1192414
{'conductor': 29, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4176.2.o.o', 'source_level': 4176, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '4176.2.o.o', 'target_level': 4176, 'twist_class_label': '696.2.o.c', 'twist_class_level': 696, 'twisting_char_label': '29.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3521500
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 63051356889419856, 'p': 2}
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id: 3521501
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 63051356889419856, 'p': 3}
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id: 3521502
{'charpoly_factorization': [[[-6, -3, 1], 2]], 'hecke_orbit_code': 63051356889419856, 'p': 5}
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id: 3521503
{'charpoly_factorization': [[[3, 1], 4]], 'hecke_orbit_code': 63051356889419856, 'p': 7}
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id: 3521504
{'charpoly_factorization': [[[16, 0, 41, 0, 1], 1]], 'hecke_orbit_code': 63051356889419856, 'p': 11}
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id: 3521505
{'charpoly_factorization': [[[-8, 1, 1], 2]], 'hecke_orbit_code': 63051356889419856, 'p': 13}
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id: 3521506
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 63051356889419856, 'p': 17}
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id: 3521507
{'charpoly_factorization': [[[16, 0, 41, 0, 1], 1]], 'hecke_orbit_code': 63051356889419856, 'p': 19}
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id: 3521508
{'charpoly_factorization': [[[-32, -2, 1], 2]], 'hecke_orbit_code': 63051356889419856, 'p': 23}
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id: 3521509
{'charpoly_factorization': [[[841, -290, 50, -10, 1], 1]], 'hecke_orbit_code': 63051356889419856, 'p': 29}
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id: 3521510
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 63051356889419856, 'p': 31}
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id: 3521511
{'charpoly_factorization': [[[5476, 0, 149, 0, 1], 1]], 'hecke_orbit_code': 63051356889419856, 'p': 37}
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id: 3521512
{'charpoly_factorization': [[[5476, 0, 149, 0, 1], 1]], 'hecke_orbit_code': 63051356889419856, 'p': 41}
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id: 3521513
{'charpoly_factorization': [[[484, 0, 77, 0, 1], 1]], 'hecke_orbit_code': 63051356889419856, 'p': 43}
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id: 3521514
{'charpoly_factorization': [[[841, 0, 74, 0, 1], 1]], 'hecke_orbit_code': 63051356889419856, 'p': 47}
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id: 3521515
{'charpoly_factorization': [[[-8, 10, 1], 2]], 'hecke_orbit_code': 63051356889419856, 'p': 53}
-
id: 3521516
{'charpoly_factorization': [[[12, -9, 1], 2]], 'hecke_orbit_code': 63051356889419856, 'p': 59}
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id: 3521517
{'charpoly_factorization': [[[256, 0, 164, 0, 1], 1]], 'hecke_orbit_code': 63051356889419856, 'p': 61}
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id: 3521518
{'charpoly_factorization': [[[-62, -7, 1], 2]], 'hecke_orbit_code': 63051356889419856, 'p': 67}
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id: 3521519
{'charpoly_factorization': [[[16, 14, 1], 2]], 'hecke_orbit_code': 63051356889419856, 'p': 71}
-
id: 3521520
{'charpoly_factorization': [[[64, 0, 1], 2]], 'hecke_orbit_code': 63051356889419856, 'p': 73}
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id: 3521521
{'charpoly_factorization': [[[13456, 0, 296, 0, 1], 1]], 'hecke_orbit_code': 63051356889419856, 'p': 79}
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id: 3521522
{'charpoly_factorization': [[[-24, 6, 1], 2]], 'hecke_orbit_code': 63051356889419856, 'p': 83}
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id: 3521523
{'charpoly_factorization': [[[36, 0, 21, 0, 1], 1]], 'hecke_orbit_code': 63051356889419856, 'p': 89}
-
id: 3521524
{'charpoly_factorization': [[[64, 0, 1], 2]], 'hecke_orbit_code': 63051356889419856, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 15, 'hecke_orbit': 15, 'label': '4176.2.o.o', 'level': 4176, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 233849000
{'hecke_orbit_code': 63051356889419856, 'n': 1, 'trace_an': 4}
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id: 233849001
{'hecke_orbit_code': 63051356889419856, 'n': 2, 'trace_an': 0}
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id: 233849002
{'hecke_orbit_code': 63051356889419856, 'n': 3, 'trace_an': 0}
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id: 233849003
{'hecke_orbit_code': 63051356889419856, 'n': 4, 'trace_an': 0}
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id: 233849004
{'hecke_orbit_code': 63051356889419856, 'n': 5, 'trace_an': 6}
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id: 233849005
{'hecke_orbit_code': 63051356889419856, 'n': 6, 'trace_an': 0}
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id: 233849006
{'hecke_orbit_code': 63051356889419856, 'n': 7, 'trace_an': -12}
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