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{'Nk2': 19456, 'analytic_conductor': 38.83923554315078, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [19, 1]], 'atkin_lehner_string': '++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4864, 1, [3839, 2053, 4353], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 316, 'field_disc_factorization': [[2, 2], [79, 1]], 'field_poly': [2, -4, -1, 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': [[3, [8, -6, -2, 1]], [5, [4, 1, -4, 1]], [7, [-4, 1, 4, 1]], [11, [-4, 5, 6, 1]]], 'hecke_orbit': 34, 'hecke_orbit_code': 148618787736785664, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], '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': False, 'label': '4864.2.a.bh', 'level': 4864, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 19], 'level_radical': 38, 'minimal_twist': '2432.2.c.e', 'nf_label': '3.3.316.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{1}+\\beta _{2})q^{3}+(1+\\beta _{1})q^{5}+(-1+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4864.2.a', 'trace_display': [0, 2, 4, -4], 'trace_hash': 250527077125054052, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.769', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
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-19, 7], [13, -13, 19], [-13, 3, -12], [-9, 41, -1], [48, -14, 8], [6, 10, -22], [-11, -21, -11], [28, 16, 13], [-6, 8, 19], [5, -3, 4]], 'char_orbit_index': 1, 'field_poly': [2, -4, -1, 1], 'hecke_orbit_code': 148618787736785664, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [3, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-3, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '4864.2.a.bh', 'level': 4864, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [19, -1]], 32, 11], [[[2, 1], [19, -1]], 40, 12], [[[2, 1], [19, 1]], 34, 11], [[[2, -1], [19, 1]], 38, 12]], 'ALdims': [34, 40, 38, 32], 'Nk2': 19456, 'analytic_conductor': 38.83923554315078, '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': [4864, 1, [3839, 2053, 4353], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 617, 'dim': 144, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7, 11], 'hecke_orbit_code': 33559296, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 10, 10], 'label': '4864.2.a', 'level': 4864, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 19], 'level_radical': 38, 'mf_dim': 664, 'mf_new_dim': 144, 'num_forms': 46, 'plus_dim': 66, 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mf_twists_nf • Show schema
Hide schema
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id: 1230223
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '4864.2.a.bh', 'source_level': 4864, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '2432.2.c.e', 'target_level': 2432, 'twist_class_label': '2432.2.c.e', 'twist_class_level': 2432, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1230224
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '4864.2.a.bh', 'source_level': 4864, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '2432.2.c.h', 'target_level': 2432, 'twist_class_label': '2432.2.c.e', 'twist_class_level': 2432, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1230225
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '4864.2.a.bh', 'source_level': 4864, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '4864.2.a.ba', 'target_level': 4864, 'twist_class_label': '2432.2.c.e', 'twist_class_level': 2432, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1230226
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '4864.2.a.bh', 'source_level': 4864, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '4864.2.a.bb', 'target_level': 4864, 'twist_class_label': '2432.2.c.e', 'twist_class_level': 2432, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1230227
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '4864.2.a.bh', 'source_level': 4864, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '4864.2.a.bg', 'target_level': 4864, 'twist_class_label': '2432.2.c.e', 'twist_class_level': 2432, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1230228
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '4864.2.a.bh', 'source_level': 4864, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '4864.2.a.bh', 'target_level': 4864, 'twist_class_label': '2432.2.c.e', 'twist_class_level': 2432, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3729800
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 148618787736785664, 'p': 2}
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id: 3729801
{'charpoly_factorization': [[[8, -6, -2, 1], 1]], 'hecke_orbit_code': 148618787736785664, 'p': 3}
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id: 3729802
{'charpoly_factorization': [[[4, 1, -4, 1], 1]], 'hecke_orbit_code': 148618787736785664, 'p': 5}
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id: 3729803
{'charpoly_factorization': [[[-4, 1, 4, 1], 1]], 'hecke_orbit_code': 148618787736785664, 'p': 7}
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id: 3729804
{'charpoly_factorization': [[[-4, 5, 6, 1], 1]], 'hecke_orbit_code': 148618787736785664, 'p': 11}
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id: 3729805
{'charpoly_factorization': [[[-64, -24, 4, 1], 1]], 'hecke_orbit_code': 148618787736785664, 'p': 13}
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id: 3729806
{'charpoly_factorization': [[[2, -11, 4, 1], 1]], 'hecke_orbit_code': 148618787736785664, 'p': 17}
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id: 3729807
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 148618787736785664, 'p': 19}
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id: 3729808
{'charpoly_factorization': [[[4, 1], 3]], 'hecke_orbit_code': 148618787736785664, 'p': 23}
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id: 3729809
{'charpoly_factorization': [[[-176, -54, 2, 1], 1]], 'hecke_orbit_code': 148618787736785664, 'p': 29}
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id: 3729810
{'charpoly_factorization': [[[352, -94, -2, 1], 1]], 'hecke_orbit_code': 148618787736785664, 'p': 31}
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id: 3729811
{'charpoly_factorization': [[[32, -14, -2, 1], 1]], 'hecke_orbit_code': 148618787736785664, 'p': 37}
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id: 3729812
{'charpoly_factorization': [[[68, -50, 4, 1], 1]], 'hecke_orbit_code': 148618787736785664, 'p': 41}
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id: 3729813
{'charpoly_factorization': [[[44, -31, 2, 1], 1]], 'hecke_orbit_code': 148618787736785664, 'p': 43}
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id: 3729814
{'charpoly_factorization': [[[332, -91, 0, 1], 1]], 'hecke_orbit_code': 148618787736785664, 'p': 47}
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id: 3729815
{'charpoly_factorization': [[[-368, -14, 14, 1], 1]], 'hecke_orbit_code': 148618787736785664, 'p': 53}
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id: 3729816
{'charpoly_factorization': [[[-656, 244, -28, 1], 1]], 'hecke_orbit_code': 148618787736785664, 'p': 59}
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id: 3729817
{'charpoly_factorization': [[[596, -75, -8, 1], 1]], 'hecke_orbit_code': 148618787736785664, 'p': 61}
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id: 3729818
{'charpoly_factorization': [[[328, -126, 6, 1], 1]], 'hecke_orbit_code': 148618787736785664, 'p': 67}
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id: 3729819
{'charpoly_factorization': [[[-736, -12, 16, 1], 1]], 'hecke_orbit_code': 148618787736785664, 'p': 71}
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id: 3729820
{'charpoly_factorization': [[[46, 129, -24, 1], 1]], 'hecke_orbit_code': 148618787736785664, 'p': 73}
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id: 3729821
{'charpoly_factorization': [[[16, -46, 6, 1], 1]], 'hecke_orbit_code': 148618787736785664, 'p': 79}
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id: 3729822
{'charpoly_factorization': [[[16, 36, 20, 1], 1]], 'hecke_orbit_code': 148618787736785664, 'p': 83}
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id: 3729823
{'charpoly_factorization': [[[124, -58, 0, 1], 1]], 'hecke_orbit_code': 148618787736785664, 'p': 89}
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id: 3729824
{'charpoly_factorization': [[[272, 144, 22, 1], 1]], 'hecke_orbit_code': 148618787736785664, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 34, 'label': '4864.2.a.bh', 'level': 4864, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 268587000
{'hecke_orbit_code': 148618787736785664, 'n': 1, 'trace_an': 3}
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id: 268587001
{'hecke_orbit_code': 148618787736785664, 'n': 2, 'trace_an': 0}
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id: 268587002
{'hecke_orbit_code': 148618787736785664, 'n': 3, 'trace_an': 2}
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id: 268587003
{'hecke_orbit_code': 148618787736785664, 'n': 4, 'trace_an': 0}
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id: 268587004
{'hecke_orbit_code': 148618787736785664, 'n': 5, 'trace_an': 4}
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id: 268587005
{'hecke_orbit_code': 148618787736785664, 'n': 6, 'trace_an': 0}
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id: 268587006
{'hecke_orbit_code': 148618787736785664, 'n': 7, 'trace_an': -4}
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id: 268587007
{'hecke_orbit_code': 148618787736785664, 'n': 8, 'trace_an': 0}
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id: 268587008
{'hecke_orbit_code': 148618787736785664, 'n': 9, 'trace_an': 7}
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id: 268587009
{'hecke_orbit_code': 148618787736785664, 'n': 10, 'trace_an': 0}
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id: 268587010
{'hecke_orbit_code': 148618787736785664, 'n': 11, 'trace_an': -6}
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id: 268587011
{'hecke_orbit_code': 148618787736785664, 'n': 12, 'trace_an': 0}
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id: 268587012
{'hecke_orbit_code': 148618787736785664, 'n': 13, 'trace_an': -4}
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id: 268587013
{'hecke_orbit_code': 148618787736785664, 'n': 14, 'trace_an': 0}
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id: 268587014
{'hecke_orbit_code': 148618787736785664, 'n': 15, 'trace_an': -2}
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