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mf_newforms • Show schema
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{'Nk2': 16560, 'analytic_conductor': 33.05806643681008, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, -1], [23, -1]], 'atkin_lehner_string': '-+--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4140, 1, [2071, 461, 1657, 3961], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 5, 'field_disc': 14345904, 'field_disc_factorization': [[2, 4], [3, 1], [47, 1], [6359, 1]], 'field_poly': [-12, -11, 34, -13, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [2, 23, 46, -16, -4, 1]], [11, [-432, 84, 108, -26, -4, 1]], [13, [-72, 372, 88, -50, -2, 1]], [17, [-666, 119, 156, -44, -2, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580968492, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4140.2.a.u', 'level': 4140, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'minimal_twist': '4140.2.a.t', 'nf_label': '5.5.14345904.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}+(1+\\beta _{3})q^{7}+(1-\\beta _{4})q^{11}+(1+\\cdots)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4140.2.a', 'trace_display': [0, 0, 5, 4], 'trace_hash': 341296978196213524, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.029', 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mf_hecke_nf • Show schema
Hide schema
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[-12, 6, -2, 8, 0], [39, -8, 4, 1, -10], [-48, 4, -2, -10, 2], [28, 8, -14, 0, -8], [-21, -6, 7, -3, 2], [-9, -9, 5, 8, -8], [-26, -4, 4, 4, -6], [-27, 8, -4, 14, 3], [-28, 2, -1, 13, 7], [29, -6, -1, 5, -16], [50, 0, 0, 6, 4], [3, 10, 7, 3, 6], [-26, -8, 6, -14, 8], [18, -12, 0, -8, -10], [-12, 6, 6, 17, 1], [-32, -6, 7, 15, -5], [-28, 4, 3, 10, -2]], 'char_orbit_index': 1, 'field_poly': [-12, -11, 34, -13, -2, 1], 'hecke_orbit_code': 90071992580968492, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 2, 2, 2, 2], 'hecke_ring_inverse_denominators': [1, 2, 2, 1, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0], [0, 0, 1, -1, 1], [12, -2, -1, -1, -1], [-8, -1, 7, -4, 5], [140, -28, -21, -3, -21]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0], [-2, -9, 12, 0, -1], [0, -18, 13, 1, -1], [14, 7, -14, 0, 1], [14, 29, -27, -1, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 5, 'label': '4140.2.a.u', 'level': 4140, 'maxp': 2999, 'weight': 2}
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{'AL_dims': [[[[2, -1], [3, -1], [5, 1], [23, 1]], 5, 3], [[[2, -1], [3, -1], [5, -1], [23, -1]], 5, 5], [[[2, -1], [3, 1], [5, 1], [23, -1]], 3, 2], [[[2, -1], [3, -1], [5, -1], [23, 1]], 6, 3], [[[2, -1], [3, 1], [5, 1], [23, 1]], 5, 1], [[[2, -1], [3, 1], [5, -1], [23, -1]], 5, 1], [[[2, -1], [3, 1], [5, -1], [23, 1]], 3, 2], [[[2, -1], [3, -1], [5, 1], [23, -1]], 6, 4]], 'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 5, 3, 3, 5, 5, 6, 6, 5], 'Nk2': 16560, 'analytic_conductor': 33.05806643681008, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4140, 1, [2071, 461, 1657, 3961], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 841, 'dim': 38, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 33558572, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 5, 5], 'label': '4140.2.a', 'level': 4140, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'mf_dim': 888, 'mf_new_dim': 38, 'num_forms': 21, 'plus_dim': 16, 'prim_orbit_index': 1, 'relative_dim': 38, 'sturm_bound': 1728, 'trace_bound': 13, 'trace_display': [0, 0, 0, -4], 'traces': [38, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 8, 0, 0, 0, 0, 0, 38, 0, 0, 0, 10, 0, 14, 0, 0, 0, -6, 0, 12, 0, 0, 0, -10, 0, 32, 0, 0, 0, -12, 0, 40, 0, 0, 0, -4, 0, 0, 0, 0, 0, -6, 0, -4, 0, 0, 0, 4, 0, 4, 0, 0, 0, -38, 0, 12, 0, 0, 0, -4, 0, -28, 0, 0, 0, 20, 0, -10, 0, 0, 0, 20, 0, 12, 0, 0, 0, 8, 0, -8, 0, 0, 0, 38, 0, -24, 0, 0, 0, -20, 0, -20, 0, 0, 0, -28, 0, 2, 0, 0, 0, 2, 0, 62, 0, 0, 0, 0, 0, 24, 0, 0, 0, 36, 0, 44, 0, 0, 0, 16, 0, -6, 0, 0, 0, 8, 0, 8, 0, 0, 0, 24, 0, -4, 0, 0, 0, 16, 0, 4, 0, 0, 0, -2, 0, 60, 0, 0, 0, 64, 0, 46, 0, 0, 0, -4, 0, -4, 0, 0, 0, -92, 0, -12, 0, 0, 0, -6, 0, 28, 0, 0, 0, 32, 0, -40, 0, 0, 0, -4, 0, 52, 0, 0, 0, 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188, 0, 0, 0, 0, 0, 72, 0, 0, 0, -724, 0, 24, 0, 0, 0, 74, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1190288
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '4140.2.a.u', 'source_level': 4140, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 20, 'target_is_minimal': True, 'target_label': '4140.2.a.t', 'target_level': 4140, 'twist_class_label': '4140.2.a.t', 'twist_class_level': 4140, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1190289
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '4140.2.a.u', 'source_level': 4140, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 21, 'target_is_minimal': True, 'target_label': '4140.2.a.u', 'target_level': 4140, 'twist_class_label': '4140.2.a.t', 'twist_class_level': 4140, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3510000
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 90071992580968492, 'p': 2}
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id: 3510001
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 90071992580968492, 'p': 3}
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id: 3510002
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 90071992580968492, 'p': 5}
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id: 3510003
{'charpoly_factorization': [[[2, 23, 46, -16, -4, 1], 1]], 'hecke_orbit_code': 90071992580968492, 'p': 7}
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id: 3510004
{'charpoly_factorization': [[[-432, 84, 108, -26, -4, 1], 1]], 'hecke_orbit_code': 90071992580968492, 'p': 11}
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id: 3510005
{'charpoly_factorization': [[[-72, 372, 88, -50, -2, 1], 1]], 'hecke_orbit_code': 90071992580968492, 'p': 13}
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id: 3510006
{'charpoly_factorization': [[[-666, 119, 156, -44, -2, 1], 1]], 'hecke_orbit_code': 90071992580968492, 'p': 17}
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id: 3510007
{'charpoly_factorization': [[[72, 156, 64, -18, -6, 1], 1]], 'hecke_orbit_code': 90071992580968492, 'p': 19}
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id: 3510008
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 90071992580968492, 'p': 23}
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id: 3510009
{'charpoly_factorization': [[[-252, 53, 114, -38, -2, 1], 1]], 'hecke_orbit_code': 90071992580968492, 'p': 29}
-
id: 3510010
{'charpoly_factorization': [[[-112, -15, 648, -82, -8, 1], 1]], 'hecke_orbit_code': 90071992580968492, 'p': 31}
-
id: 3510011
{'charpoly_factorization': [[[122, -1137, 498, -40, -8, 1], 1]], 'hecke_orbit_code': 90071992580968492, 'p': 37}
-
id: 3510012
{'charpoly_factorization': [[[18048, 8845, 46, -190, -2, 1], 1]], 'hecke_orbit_code': 90071992580968492, 'p': 41}
-
id: 3510013
{'charpoly_factorization': [[[-3744, 1008, 952, -12, -18, 1], 1]], 'hecke_orbit_code': 90071992580968492, 'p': 43}
-
id: 3510014
{'charpoly_factorization': [[[-7344, 5004, -132, -170, 4, 1], 1]], 'hecke_orbit_code': 90071992580968492, 'p': 47}
-
id: 3510015
{'charpoly_factorization': [[[6426, 4023, -612, -172, 2, 1], 1]], 'hecke_orbit_code': 90071992580968492, 'p': 53}
-
id: 3510016
{'charpoly_factorization': [[[-18804, 3973, 678, -134, -6, 1], 1]], 'hecke_orbit_code': 90071992580968492, 'p': 59}
-
id: 3510017
{'charpoly_factorization': [[[376, 2444, 1008, -138, -10, 1], 1]], 'hecke_orbit_code': 90071992580968492, 'p': 61}
-
id: 3510018
{'charpoly_factorization': [[[27618, -13977, 2210, -48, -16, 1], 1]], 'hecke_orbit_code': 90071992580968492, 'p': 67}
-
id: 3510019
{'charpoly_factorization': [[[-816, 4381, 638, -118, -10, 1], 1]], 'hecke_orbit_code': 90071992580968492, 'p': 71}
-
id: 3510020
{'charpoly_factorization': [[[-136, -556, 64, 78, -18, 1], 1]], 'hecke_orbit_code': 90071992580968492, 'p': 73}
-
id: 3510021
{'charpoly_factorization': [[[-4608, 8448, 1696, -176, -14, 1], 1]], 'hecke_orbit_code': 90071992580968492, 'p': 79}
-
id: 3510022
{'charpoly_factorization': [[[-33876, 27839, 1548, -332, -8, 1], 1]], 'hecke_orbit_code': 90071992580968492, 'p': 83}
-
id: 3510023
{'charpoly_factorization': [[[-1152, -1536, -480, 40, 18, 1], 1]], 'hecke_orbit_code': 90071992580968492, 'p': 89}
-
id: 3510024
{'charpoly_factorization': [[[-32, -336, -728, -188, -6, 1], 1]], 'hecke_orbit_code': 90071992580968492, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '4140.2.a.u', 'level': 4140, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 249292000
{'hecke_orbit_code': 90071992580968492, 'n': 1, 'trace_an': 5}
-
id: 249292001
{'hecke_orbit_code': 90071992580968492, 'n': 2, 'trace_an': 0}
-
id: 249292002
{'hecke_orbit_code': 90071992580968492, 'n': 3, 'trace_an': 0}
-
id: 249292003
{'hecke_orbit_code': 90071992580968492, 'n': 4, 'trace_an': 0}
-
id: 249292004
{'hecke_orbit_code': 90071992580968492, 'n': 5, 'trace_an': 5}
-
id: 249292005
{'hecke_orbit_code': 90071992580968492, 'n': 6, 'trace_an': 0}
-
id: 249292006
{'hecke_orbit_code': 90071992580968492, 'n': 7, 'trace_an': 4}
-
id: 249292007
{'hecke_orbit_code': 90071992580968492, 'n': 8, 'trace_an': 0}
-
id: 249292008
{'hecke_orbit_code': 90071992580968492, 'n': 9, 'trace_an': 0}
-
id: 249292009
{'hecke_orbit_code': 90071992580968492, 'n': 10, 'trace_an': 0}
-
id: 249292010
{'hecke_orbit_code': 90071992580968492, 'n': 11, 'trace_an': 4}
-
id: 249292011
{'hecke_orbit_code': 90071992580968492, 'n': 12, 'trace_an': 0}
-
id: 249292012
{'hecke_orbit_code': 90071992580968492, 'n': 13, 'trace_an': 2}
-
id: 249292013
{'hecke_orbit_code': 90071992580968492, 'n': 14, 'trace_an': 0}
-
id: 249292014
{'hecke_orbit_code': 90071992580968492, 'n': 15, 'trace_an': 0}
-
id: 249292015
{'hecke_orbit_code': 90071992580968492, 'n': 16, 'trace_an': 0}
-
id: 249292016
{'hecke_orbit_code': 90071992580968492, 'n': 17, 'trace_an': 2}
-
id: 249292017
{'hecke_orbit_code': 90071992580968492, 'n': 18, 'trace_an': 0}
-
id: 249292018
{'hecke_orbit_code': 90071992580968492, 'n': 19, 'trace_an': 6}
-
id: 249292019
{'hecke_orbit_code': 90071992580968492, 'n': 20, 'trace_an': 0}
-
id: 249292020
{'hecke_orbit_code': 90071992580968492, 'n': 21, 'trace_an': 0}
-
id: 249292021
{'hecke_orbit_code': 90071992580968492, 'n': 22, 'trace_an': 0}
-
id: 249292022
{'hecke_orbit_code': 90071992580968492, 'n': 23, 'trace_an': 5}
-
id: 249292023
{'hecke_orbit_code': 90071992580968492, 'n': 24, 'trace_an': 0}
-
id: 249292024
{'hecke_orbit_code': 90071992580968492, 'n': 25, 'trace_an': 5}
-
id: 249292025
{'hecke_orbit_code': 90071992580968492, 'n': 26, 'trace_an': 0}
-
id: 249292026
{'hecke_orbit_code': 90071992580968492, 'n': 27, 'trace_an': 0}
-
id: 249292027
{'hecke_orbit_code': 90071992580968492, 'n': 28, 'trace_an': 0}
-
id: 249292028
{'hecke_orbit_code': 90071992580968492, 'n': 29, 'trace_an': 2}
-
id: 249292029
{'hecke_orbit_code': 90071992580968492, 'n': 30, 'trace_an': 0}
-
id: 249292030
{'hecke_orbit_code': 90071992580968492, 'n': 31, 'trace_an': 8}
-
id: 249292031
{'hecke_orbit_code': 90071992580968492, 'n': 32, 'trace_an': 0}
-
id: 249292032
{'hecke_orbit_code': 90071992580968492, 'n': 33, 'trace_an': 0}
-
id: 249292033
{'hecke_orbit_code': 90071992580968492, 'n': 34, 'trace_an': 0}
-
id: 249292034
{'hecke_orbit_code': 90071992580968492, 'n': 35, 'trace_an': 4}
-
id: 249292035
{'hecke_orbit_code': 90071992580968492, 'n': 36, 'trace_an': 0}
-
id: 249292036
{'hecke_orbit_code': 90071992580968492, 'n': 37, 'trace_an': 8}
-
id: 249292037
{'hecke_orbit_code': 90071992580968492, 'n': 38, 'trace_an': 0}
-
id: 249292038
{'hecke_orbit_code': 90071992580968492, 'n': 39, 'trace_an': 0}
-
id: 249292039
{'hecke_orbit_code': 90071992580968492, 'n': 40, 'trace_an': 0}
-
id: 249292040
{'hecke_orbit_code': 90071992580968492, 'n': 41, 'trace_an': 2}
-
id: 249292041
{'hecke_orbit_code': 90071992580968492, 'n': 42, 'trace_an': 0}
-
id: 249292042
{'hecke_orbit_code': 90071992580968492, 'n': 43, 'trace_an': 18}
-
id: 249292043
{'hecke_orbit_code': 90071992580968492, 'n': 44, 'trace_an': 0}
-
id: 249292044
{'hecke_orbit_code': 90071992580968492, 'n': 45, 'trace_an': 0}
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id: 249292045
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