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mf_newforms • Show schema
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{'Nk2': 4536, 'analytic_conductor': 9.055035589213196, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [1134, 3, [407, 325], [2, 3]], 'cm_discs': [], 'conrey_index': 379, 'conrey_indexes': [379, 757], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [0, 1]], [11, [0, 1]], [13, [25, 5, 1]], [17, [3, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036339904644206, 'hecke_ring_generator_nbound': 2, '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, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1134.2.f.k', 'level': 1134, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '378.2.a.d', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1-\\zeta_{6})q^{2}-\\zeta_{6}q^{4}+(-1+\\zeta_{6})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1134.2.f', 'trace_display': [1, 0, 0, -1], 'trace_hash': 303254059001458220, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.030', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.961', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.160', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.203', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2.284', 'prec': 17}, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'Nk2': 4536, 'analytic_conductor': 9.055035589213196, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [1134, 3, [407, 325], [2, 3]], 'conrey_index': 379, 'cusp_dim': 384, 'dim': 48, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17], 'hecke_orbit_code': 343630939246, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4], 'label': '1134.2.f', 'level': 1134, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 480, 'mf_new_dim': 48, 'num_forms': 20, 'prim_orbit_index': 3, 'relative_dim': 24, 'sturm_bound': 432, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, -24, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 12, 0, 0, -48, 0, 0, 0, 0, 0, 12, 0, 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'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 653517
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.f.k', 'source_level': 1134, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '378.2.a.d', 'target_level': 378, 'twist_class_label': '378.2.a.d', 'twist_class_level': 378, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 653518
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.f.k', 'source_level': 1134, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '378.2.a.e', 'target_level': 378, 'twist_class_label': '378.2.a.d', 'twist_class_level': 378, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 653519
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.f.k', 'source_level': 1134, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1134.2.f.e', 'target_level': 1134, 'twist_class_label': '378.2.a.d', 'twist_class_level': 378, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 653520
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.f.k', 'source_level': 1134, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1134.2.f.e', 'target_level': 1134, 'twist_class_label': '378.2.a.d', 'twist_class_level': 378, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 653521
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.f.k', 'source_level': 1134, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1134.2.f.k', 'target_level': 1134, 'twist_class_label': '378.2.a.d', 'twist_class_level': 378, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 653522
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.f.k', 'source_level': 1134, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1134.2.f.k', 'target_level': 1134, 'twist_class_label': '378.2.a.d', 'twist_class_level': 378, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 653523
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.f.k', 'source_level': 1134, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2646.2.a.f', 'target_level': 2646, 'twist_class_label': '378.2.a.d', 'twist_class_level': 378, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 653524
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.f.k', 'source_level': 1134, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '2646.2.a.y', 'target_level': 2646, 'twist_class_label': '378.2.a.d', 'twist_class_level': 378, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 653525
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.f.k', 'source_level': 1134, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '3024.2.a.o', 'target_level': 3024, 'twist_class_label': '378.2.a.d', 'twist_class_level': 378, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 653526
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.f.k', 'source_level': 1134, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '3024.2.a.p', 'target_level': 3024, 'twist_class_label': '378.2.a.d', 'twist_class_level': 378, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 653527
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.f.k', 'source_level': 1134, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '9450.2.a.l', 'target_level': 9450, 'twist_class_label': '378.2.a.d', 'twist_class_level': 378, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 653528
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.f.k', 'source_level': 1134, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 64, 'target_is_minimal': False, 'target_label': '9450.2.a.cl', 'target_level': 9450, 'twist_class_label': '378.2.a.d', 'twist_class_level': 378, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1706025
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 45036339904644206, 'p': 2}
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id: 1706026
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 45036339904644206, 'p': 3}
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id: 1706027
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 45036339904644206, 'p': 5}
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id: 1706028
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 45036339904644206, 'p': 7}
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id: 1706029
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 45036339904644206, 'p': 11}
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id: 1706030
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 45036339904644206, 'p': 13}
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id: 1706031
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 45036339904644206, 'p': 17}
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id: 1706032
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 45036339904644206, 'p': 19}
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id: 1706033
{'charpoly_factorization': [[[81, 9, 1], 1]], 'hecke_orbit_code': 45036339904644206, 'p': 23}
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id: 1706034
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 45036339904644206, 'p': 29}
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id: 1706035
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 45036339904644206, 'p': 31}
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id: 1706036
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 45036339904644206, 'p': 37}
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id: 1706037
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 45036339904644206, 'p': 41}
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id: 1706038
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 45036339904644206, 'p': 43}
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id: 1706039
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 45036339904644206, 'p': 47}
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id: 1706040
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 45036339904644206, 'p': 53}
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id: 1706041
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 45036339904644206, 'p': 59}
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id: 1706042
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 45036339904644206, 'p': 61}
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id: 1706043
{'charpoly_factorization': [[[169, -13, 1], 1]], 'hecke_orbit_code': 45036339904644206, 'p': 67}
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id: 1706044
{'charpoly_factorization': [[[9, 1], 2]], 'hecke_orbit_code': 45036339904644206, 'p': 71}
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id: 1706045
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 45036339904644206, 'p': 73}
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id: 1706046
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 45036339904644206, 'p': 79}
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id: 1706047
{'charpoly_factorization': [[[144, 12, 1], 1]], 'hecke_orbit_code': 45036339904644206, 'p': 83}
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id: 1706048
{'charpoly_factorization': [[[15, 1], 2]], 'hecke_orbit_code': 45036339904644206, 'p': 89}
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id: 1706049
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 45036339904644206, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 11, 'label': '1134.2.f.k', 'level': 1134, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 215074000
{'hecke_orbit_code': 45036339904644206, 'n': 1, 'trace_an': 2}
-
id: 215074001
{'hecke_orbit_code': 45036339904644206, 'n': 2, 'trace_an': 1}
-
id: 215074002
{'hecke_orbit_code': 45036339904644206, 'n': 3, 'trace_an': 0}
-
id: 215074003
{'hecke_orbit_code': 45036339904644206, 'n': 4, 'trace_an': -1}
-
id: 215074004
{'hecke_orbit_code': 45036339904644206, 'n': 5, 'trace_an': 0}
-
id: 215074005
{'hecke_orbit_code': 45036339904644206, 'n': 6, 'trace_an': 0}
-
id: 215074006
{'hecke_orbit_code': 45036339904644206, 'n': 7, 'trace_an': -1}
-
id: 215074007
{'hecke_orbit_code': 45036339904644206, 'n': 8, 'trace_an': -2}
-
id: 215074008
{'hecke_orbit_code': 45036339904644206, 'n': 9, 'trace_an': 0}
-
id: 215074009
{'hecke_orbit_code': 45036339904644206, 'n': 10, 'trace_an': 0}
-
id: 215074010
{'hecke_orbit_code': 45036339904644206, 'n': 11, 'trace_an': 0}
-
id: 215074011
{'hecke_orbit_code': 45036339904644206, 'n': 12, 'trace_an': 0}
-
id: 215074012
{'hecke_orbit_code': 45036339904644206, 'n': 13, 'trace_an': -5}
-
id: 215074013
{'hecke_orbit_code': 45036339904644206, 'n': 14, 'trace_an': 1}
-
id: 215074014
{'hecke_orbit_code': 45036339904644206, 'n': 15, 'trace_an': 0}
-
id: 215074015
{'hecke_orbit_code': 45036339904644206, 'n': 16, 'trace_an': -1}
-
id: 215074016
{'hecke_orbit_code': 45036339904644206, 'n': 17, 'trace_an': -6}
-
id: 215074017
{'hecke_orbit_code': 45036339904644206, 'n': 18, 'trace_an': 0}
-
id: 215074018
{'hecke_orbit_code': 45036339904644206, 'n': 19, 'trace_an': 4}
-
id: 215074019
{'hecke_orbit_code': 45036339904644206, 'n': 20, 'trace_an': 0}
-
id: 215074020
{'hecke_orbit_code': 45036339904644206, 'n': 21, 'trace_an': 0}
-
id: 215074021
{'hecke_orbit_code': 45036339904644206, 'n': 22, 'trace_an': 0}
-
id: 215074022
{'hecke_orbit_code': 45036339904644206, 'n': 23, 'trace_an': -9}
-
id: 215074023
{'hecke_orbit_code': 45036339904644206, 'n': 24, 'trace_an': 0}
-
id: 215074024
{'hecke_orbit_code': 45036339904644206, 'n': 25, 'trace_an': 5}
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id: 215074025
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