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{'Nk2': 7728, 'analytic_conductor': 15.42709767051137, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [7, 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': [1932, 1, [967, 1289, 829, 925], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-1, -1, 1]], [11, [-1, 4, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915667852, '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': True, 'label': '1932.2.a.d', 'level': 1932, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 23], 'level_radical': 966, 'minimal_twist': '1932.2.a.d', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+\\beta q^{5}-q^{7}+q^{9}+(-1-2\\beta )q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1932.2.a', 'trace_display': [0, -2, 1, -2], 'trace_hash': 1458442148755100134, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.930', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.348', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [-1, 0], [0, 0], [0, 1], [0, 0], [-1, 0], [0, 0], [1, 0], [0, 0], [-1, -2], [0, 0], [1, 1], [0, 0], [0, -1], [0, 0], [-1, 2], [0, 0], [1, -4], [0, 0], [1, 0], [0, 0], [1, 0], [0, 0], [-4, 1], [0, 0], [-1, 0], [0, 0], [3, -4], [0, 0], [-3, -2], [0, 0], [1, 2], [0, 0], [0, -1], [0, 0], [-3, 4], [0, 0], [-1, -1], [0, 0], [5, -4], [0, 0], [-7, 9], [0, 0], [0, 1], [0, 0], [-2, -2], [0, 0], [1, 0], [0, 0], [1, -2], [0, 0], [-4, 5], [0, 0], [-2, -3], [0, 0], [-1, 4], [0, 0], [-4, -1], [0, 0], [1, -7], [0, 0], [-1, 0], [0, 0], [1, 2], [0, 0], [-4, -1], [0, 0], [-1, 0], [0, 0], [-9, 3], [0, 0], [-3, -8], [0, 0], [4, -1], [0, 0], [1, 2], [0, 0], [-7, 2], [0, 0], [1, 0], [0, 0], [-3, 8], [0, 0], [2, 1], [0, 0], [-3, 4], [0, 0], [-1, 3], [0, 0], [-1, -1], [0, 0], [3, 2], [0, 0], [-4, -3], [0, 0], [1, 2], [0, 0], [-1, -2], [0, 0]], 'ap': [[0, 0], [-1, 0], [0, 1], [-1, 0], [-1, -2], [1, 1], [-1, 2], [1, -4], [1, 0], [3, -4], [-3, -2], [-3, 4], [5, -4], [-7, 9], [-2, -2], [-4, 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[-43, 45], [55, -45], [-5, -49], [-24, -36], [64, 14], [-72, 16], [-20, 1], [17, -39], [-6, 42], [-72, 16], [-55, -1], [-13, 19], [-18, 4], [-37, 28], [5, -6], [-81, 8], [14, 34], [-43, -6], [-61, 10], [-2, 5], [37, -55], [35, -5], [34, -54], [47, -53], [-36, 50], [-44, -23], [25, 5]], 'char_orbit_index': 1, 'field_poly': [-1, -1, 1], 'hecke_orbit_code': 13510798915667852, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '1932.2.a.d', 'level': 1932, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [23, -1]], 2, 1], [[[2, -1], [3, -1], [7, -1], [23, 1]], 3, 2], [[[2, -1], [3, 1], [7, -1], [23, -1]], 3, 1], [[[2, -1], [3, -1], [7, 1], [23, -1]], 3, 1], [[[2, -1], [3, 1], [7, -1], [23, 1]], 2, 1], [[[2, -1], [3, 1], [7, 1], [23, -1]], 2, 1], [[[2, -1], [3, -1], [7, 1], [23, 1]], 2, 1], [[[2, -1], [3, 1], [7, 1], [23, 1]], 3, 2]], 'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 3, 2, 3, 3, 2], 'Nk2': 7728, 'analytic_conductor': 15.42709767051137, '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': [1932, 1, [967, 1289, 829, 925], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 373, 'dim': 20, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 33556364, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 2, 2, 2, 3, 3], 'label': '1932.2.a', 'level': 1932, 'level_is_prime': False, 'level_is_prime_power': False, 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-248, 0, 48, 0, 160, 0, -256, 0, -120, 0, -80, 0, -8, 0, -24, 0, -232, 0, 32, 0, 32, 0, -128, 0, -24, 0, 20, 0, 8, 0, -160, 0, 256, 0, 0, 0, 456, 0, 8, 0, 8, 0, -188, 0, -88, 0, -360, 0, 16, 0, -208, 0, 96, 0, 0, 0, 32, 0, 120, 0, 24, 0, 56, 0, -592, 0, -304, 0, 32, 0, 16, 0, 192, 0, -16, 0, 8, 0, 64, 0, 120, 0, 0, 0, 224, 0, 128, 0, -88, 0, 200, 0, -16, 0, 240, 0, 80, 0, 40, 0, -104, 0, -40, 0, 16, 0, -200, 0, 488, 0, -8, 0, -224, 0, 128, 0, 24, 0, -56, 0, -352, 0, -80, 0, 136, 0, -48, 0, -20, 0, 200, 0, -324, 0, 136, 0, -16, 0, 8, 0, -40, 0, 224, 0, -224, 0, 0, 0, 32, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 844617
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '1932.2.a.d', 'source_level': 1932, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '1932.2.a.d', 'target_level': 1932, 'twist_class_label': '1932.2.a.d', 'twist_class_level': 1932, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 844618
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '1932.2.a.d', 'source_level': 1932, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '5796.2.a.i', 'target_level': 5796, 'twist_class_label': '1932.2.a.d', 'twist_class_level': 1932, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 844619
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '1932.2.a.d', 'source_level': 1932, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '7728.2.a.bo', 'target_level': 7728, 'twist_class_label': '1932.2.a.d', 'twist_class_level': 1932, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2312500
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510798915667852, 'p': 2}
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id: 2312501
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 13510798915667852, 'p': 3}
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id: 2312502
{'charpoly_factorization': [[[-1, -1, 1], 1]], 'hecke_orbit_code': 13510798915667852, 'p': 5}
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id: 2312503
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 13510798915667852, 'p': 7}
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id: 2312504
{'charpoly_factorization': [[[-1, 4, 1], 1]], 'hecke_orbit_code': 13510798915667852, 'p': 11}
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id: 2312505
{'charpoly_factorization': [[[1, -3, 1], 1]], 'hecke_orbit_code': 13510798915667852, 'p': 13}
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id: 2312506
{'charpoly_factorization': [[[-5, 0, 1], 1]], 'hecke_orbit_code': 13510798915667852, 'p': 17}
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id: 2312507
{'charpoly_factorization': [[[-19, 2, 1], 1]], 'hecke_orbit_code': 13510798915667852, 'p': 19}
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id: 2312508
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 13510798915667852, 'p': 23}
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id: 2312509
{'charpoly_factorization': [[[-19, -2, 1], 1]], 'hecke_orbit_code': 13510798915667852, 'p': 29}
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id: 2312510
{'charpoly_factorization': [[[11, 8, 1], 1]], 'hecke_orbit_code': 13510798915667852, 'p': 31}
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id: 2312511
{'charpoly_factorization': [[[-19, 2, 1], 1]], 'hecke_orbit_code': 13510798915667852, 'p': 37}
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id: 2312512
{'charpoly_factorization': [[[-11, -6, 1], 1]], 'hecke_orbit_code': 13510798915667852, 'p': 41}
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id: 2312513
{'charpoly_factorization': [[[-95, 5, 1], 1]], 'hecke_orbit_code': 13510798915667852, 'p': 43}
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id: 2312514
{'charpoly_factorization': [[[4, 6, 1], 1]], 'hecke_orbit_code': 13510798915667852, 'p': 47}
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id: 2312515
{'charpoly_factorization': [[[-29, 3, 1], 1]], 'hecke_orbit_code': 13510798915667852, 'p': 53}
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id: 2312516
{'charpoly_factorization': [[[19, 9, 1], 1]], 'hecke_orbit_code': 13510798915667852, 'p': 59}
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id: 2312517
{'charpoly_factorization': [[[-55, 5, 1], 1]], 'hecke_orbit_code': 13510798915667852, 'p': 61}
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id: 2312518
{'charpoly_factorization': [[[19, 9, 1], 1]], 'hecke_orbit_code': 13510798915667852, 'p': 67}
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id: 2312519
{'charpoly_factorization': [[[45, 15, 1], 1]], 'hecke_orbit_code': 13510798915667852, 'p': 71}
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id: 2312520
{'charpoly_factorization': [[[-31, 14, 1], 1]], 'hecke_orbit_code': 13510798915667852, 'p': 73}
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id: 2312521
{'charpoly_factorization': [[[31, 12, 1], 1]], 'hecke_orbit_code': 13510798915667852, 'p': 79}
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id: 2312522
{'charpoly_factorization': [[[-79, -2, 1], 1]], 'hecke_orbit_code': 13510798915667852, 'p': 83}
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id: 2312523
{'charpoly_factorization': [[[-11, -1, 1], 1]], 'hecke_orbit_code': 13510798915667852, 'p': 89}
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id: 2312524
{'charpoly_factorization': [[[-1, -4, 1], 1]], 'hecke_orbit_code': 13510798915667852, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '1932.2.a.d', 'level': 1932, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 127124000
{'hecke_orbit_code': 13510798915667852, 'n': 1, 'trace_an': 2}
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id: 127124001
{'hecke_orbit_code': 13510798915667852, 'n': 2, 'trace_an': 0}
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id: 127124002
{'hecke_orbit_code': 13510798915667852, 'n': 3, 'trace_an': -2}
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id: 127124003
{'hecke_orbit_code': 13510798915667852, 'n': 4, 'trace_an': 0}
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id: 127124004
{'hecke_orbit_code': 13510798915667852, 'n': 5, 'trace_an': 1}
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id: 127124005
{'hecke_orbit_code': 13510798915667852, 'n': 6, 'trace_an': 0}
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id: 127124006
{'hecke_orbit_code': 13510798915667852, 'n': 7, 'trace_an': -2}
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id: 127124007
{'hecke_orbit_code': 13510798915667852, 'n': 8, 'trace_an': 0}
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id: 127124008
{'hecke_orbit_code': 13510798915667852, 'n': 9, 'trace_an': 2}
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id: 127124009
{'hecke_orbit_code': 13510798915667852, 'n': 10, 'trace_an': 0}
-
id: 127124010
{'hecke_orbit_code': 13510798915667852, 'n': 11, 'trace_an': -4}
-
id: 127124011
{'hecke_orbit_code': 13510798915667852, 'n': 12, 'trace_an': 0}
-
id: 127124012
{'hecke_orbit_code': 13510798915667852, 'n': 13, 'trace_an': 3}
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id: 127124013
{'hecke_orbit_code': 13510798915667852, 'n': 14, 'trace_an': 0}
-
id: 127124014
{'hecke_orbit_code': 13510798915667852, 'n': 15, 'trace_an': -1}
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id: 127124015
{'hecke_orbit_code': 13510798915667852, 'n': 16, 'trace_an': 0}
-
id: 127124016
{'hecke_orbit_code': 13510798915667852, 'n': 17, 'trace_an': 0}
-
id: 127124017
{'hecke_orbit_code': 13510798915667852, 'n': 18, 'trace_an': 0}
-
id: 127124018
{'hecke_orbit_code': 13510798915667852, 'n': 19, 'trace_an': -2}
-
id: 127124019
{'hecke_orbit_code': 13510798915667852, 'n': 20, 'trace_an': 0}
-
id: 127124020
{'hecke_orbit_code': 13510798915667852, 'n': 21, 'trace_an': 2}
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id: 127124021
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