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{'Nk2': 16704, 'analytic_conductor': 33.345527884086685, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [29, 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': [4176, 1, [1567, 1045, 929, 4033], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 568, 'field_disc_factorization': [[2, 3], [71, 1]], 'field_poly': [-2, -6, -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': [[5, [-10, -3, 4, 1]], [7, [0, 1]], [11, [80, -29, -2, 1]], [17, [2, 1]]], 'hecke_orbit': 47, 'hecke_orbit_code': 207165582892601424, 'hecke_ring_generator_nbound': 11, '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': '4176.2.a.bu', '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': '232.2.a.d', 'nf_label': '3.3.568.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{2})q^{5}+(1+\\beta _{1}+2\\beta _{2})q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4176.2.a', 'trace_display': [0, 0, -4, 0], 'trace_hash': 2001147401151832470, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.830', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.343', 'prec': 17}, 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mf_hecke_nf • Show schema
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[-6, -34, -28], [25, 3, 16]], 'char_orbit_index': 1, 'field_poly': [-2, -6, -1, 1], 'hecke_orbit_code': 207165582892601424, '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], [4, 2, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-4, -2, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '4176.2.a.bu', 'level': 4176, 'maxp': 2999, 'weight': 2}
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{'AL_dims': [[[[2, -1], [3, -1], [29, -1]], 12, 11], [[[2, -1], [3, 1], [29, 1]], 7, 6], [[[2, 1], [3, -1], [29, -1]], 9, 8], [[[2, 1], [3, 1], [29, 1]], 7, 4], [[[2, -1], [3, 1], [29, -1]], 7, 6], [[[2, 1], [3, 1], [29, -1]], 7, 4], [[[2, -1], [3, -1], [29, 1]], 9, 6], [[[2, 1], [3, -1], [29, 1]], 12, 6]], 'ALdims': [7, 7, 12, 9, 7, 7, 9, 12], 'Nk2': 16704, 'analytic_conductor': 33.345527884086685, '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': [4176, 1, [1567, 1045, 929, 4033], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 697, 'dim': 70, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 17], 'hecke_orbit_code': 33558608, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 3], 'label': '4176.2.a', 'level': 4176, 'level_is_prime': False, 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mf_twists_nf • Show schema
Hide schema
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id: 1192129
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4176.2.a.bu', 'source_level': 4176, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '232.2.a.d', 'target_level': 232, 'twist_class_label': '232.2.a.d', 'twist_class_level': 232, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1192130
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4176.2.a.bu', 'source_level': 4176, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '464.2.a.j', 'target_level': 464, 'twist_class_label': '232.2.a.d', 'twist_class_level': 232, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1192131
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4176.2.a.bu', 'source_level': 4176, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '1856.2.a.x', 'target_level': 1856, 'twist_class_label': '232.2.a.d', 'twist_class_level': 232, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1192132
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4176.2.a.bu', 'source_level': 4176, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '1856.2.a.y', 'target_level': 1856, 'twist_class_label': '232.2.a.d', 'twist_class_level': 232, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1192133
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4176.2.a.bu', 'source_level': 4176, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '2088.2.a.s', 'target_level': 2088, 'twist_class_label': '232.2.a.d', 'twist_class_level': 232, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1192134
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4176.2.a.bu', 'source_level': 4176, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '4176.2.a.bu', 'target_level': 4176, 'twist_class_label': '232.2.a.d', 'twist_class_level': 232, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1192135
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4176.2.a.bu', 'source_level': 4176, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '5800.2.a.p', 'target_level': 5800, 'twist_class_label': '232.2.a.d', 'twist_class_level': 232, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1192136
{'conductor': 348, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4176.2.a.bu', 'source_level': 4176, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '6728.2.a.j', 'target_level': 6728, 'twist_class_label': '232.2.a.d', 'twist_class_level': 232, 'twisting_char_label': '348.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3519800
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 207165582892601424, 'p': 2}
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id: 3519801
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 207165582892601424, 'p': 3}
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id: 3519802
{'charpoly_factorization': [[[-10, -3, 4, 1], 1]], 'hecke_orbit_code': 207165582892601424, 'p': 5}
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id: 3519803
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 207165582892601424, 'p': 7}
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id: 3519804
{'charpoly_factorization': [[[80, -29, -2, 1], 1]], 'hecke_orbit_code': 207165582892601424, 'p': 11}
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id: 3519805
{'charpoly_factorization': [[[2, -19, -4, 1], 1]], 'hecke_orbit_code': 207165582892601424, 'p': 13}
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id: 3519806
{'charpoly_factorization': [[[2, 1], 3]], 'hecke_orbit_code': 207165582892601424, 'p': 17}
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id: 3519807
{'charpoly_factorization': [[[32, -28, -4, 1], 1]], 'hecke_orbit_code': 207165582892601424, 'p': 19}
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id: 3519808
{'charpoly_factorization': [[[-64, -20, 4, 1], 1]], 'hecke_orbit_code': 207165582892601424, 'p': 23}
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id: 3519809
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 207165582892601424, 'p': 29}
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id: 3519810
{'charpoly_factorization': [[[-68, 59, -14, 1], 1]], 'hecke_orbit_code': 207165582892601424, 'p': 31}
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id: 3519811
{'charpoly_factorization': [[[-32, -32, 2, 1], 1]], 'hecke_orbit_code': 207165582892601424, 'p': 37}
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id: 3519812
{'charpoly_factorization': [[[-512, -64, 10, 1], 1]], 'hecke_orbit_code': 207165582892601424, 'p': 41}
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id: 3519813
{'charpoly_factorization': [[[-32, -37, -6, 1], 1]], 'hecke_orbit_code': 207165582892601424, 'p': 43}
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id: 3519814
{'charpoly_factorization': [[[-452, -117, 2, 1], 1]], 'hecke_orbit_code': 207165582892601424, 'p': 47}
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id: 3519815
{'charpoly_factorization': [[[-58, -43, 0, 1], 1]], 'hecke_orbit_code': 207165582892601424, 'p': 53}
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id: 3519816
{'charpoly_factorization': [[[16, -4, -8, 1], 1]], 'hecke_orbit_code': 207165582892601424, 'p': 59}
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id: 3519817
{'charpoly_factorization': [[[328, -100, -2, 1], 1]], 'hecke_orbit_code': 207165582892601424, 'p': 61}
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id: 3519818
{'charpoly_factorization': [[[-640, 32, 20, 1], 1]], 'hecke_orbit_code': 207165582892601424, 'p': 67}
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id: 3519819
{'charpoly_factorization': [[[1696, -148, -12, 1], 1]], 'hecke_orbit_code': 207165582892601424, 'p': 71}
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id: 3519820
{'charpoly_factorization': [[[-160, -96, -2, 1], 1]], 'hecke_orbit_code': 207165582892601424, 'p': 73}
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id: 3519821
{'charpoly_factorization': [[[-388, 251, -30, 1], 1]], 'hecke_orbit_code': 207165582892601424, 'p': 79}
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id: 3519822
{'charpoly_factorization': [[[-976, 316, -32, 1], 1]], 'hecke_orbit_code': 207165582892601424, 'p': 83}
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id: 3519823
{'charpoly_factorization': [[[-2816, -256, 10, 1], 1]], 'hecke_orbit_code': 207165582892601424, 'p': 89}
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id: 3519824
{'charpoly_factorization': [[[-64, 32, 14, 1], 1]], 'hecke_orbit_code': 207165582892601424, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 47, 'label': '4176.2.a.bu', '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: 276139000
{'hecke_orbit_code': 207165582892601424, 'n': 1, 'trace_an': 3}
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id: 276139001
{'hecke_orbit_code': 207165582892601424, 'n': 2, 'trace_an': 0}
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id: 276139002
{'hecke_orbit_code': 207165582892601424, 'n': 3, 'trace_an': 0}
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id: 276139003
{'hecke_orbit_code': 207165582892601424, 'n': 4, 'trace_an': 0}
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id: 276139004
{'hecke_orbit_code': 207165582892601424, 'n': 5, 'trace_an': -4}
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id: 276139005
{'hecke_orbit_code': 207165582892601424, 'n': 6, 'trace_an': 0}
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id: 276139006
{'hecke_orbit_code': 207165582892601424, 'n': 7, 'trace_an': 0}
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id: 276139007
{'hecke_orbit_code': 207165582892601424, 'n': 8, 'trace_an': 0}
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id: 276139008
{'hecke_orbit_code': 207165582892601424, 'n': 9, 'trace_an': 0}
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id: 276139009
{'hecke_orbit_code': 207165582892601424, 'n': 10, 'trace_an': 0}
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id: 276139010
{'hecke_orbit_code': 207165582892601424, 'n': 11, 'trace_an': 2}
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id: 276139011
{'hecke_orbit_code': 207165582892601424, 'n': 12, 'trace_an': 0}
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id: 276139012
{'hecke_orbit_code': 207165582892601424, 'n': 13, 'trace_an': 4}
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id: 276139013
{'hecke_orbit_code': 207165582892601424, 'n': 14, 'trace_an': 0}
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id: 276139014
{'hecke_orbit_code': 207165582892601424, 'n': 15, 'trace_an': 0}
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id: 276139015
{'hecke_orbit_code': 207165582892601424, 'n': 16, 'trace_an': 0}
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id: 276139016
{'hecke_orbit_code': 207165582892601424, 'n': 17, 'trace_an': -6}
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id: 276139017
{'hecke_orbit_code': 207165582892601424, 'n': 18, 'trace_an': 0}
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id: 276139018
{'hecke_orbit_code': 207165582892601424, 'n': 19, 'trace_an': 4}
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id: 276139019
{'hecke_orbit_code': 207165582892601424, 'n': 20, 'trace_an': 0}
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