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{'Nk2': 12768, 'analytic_conductor': 25.4882483251927, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [7, -1], [19, -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': [3192, 1, [799, 1597, 2129, 913, 1009], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 5, 'field_disc': 135076, 'field_disc_factorization': [[2, 2], [33769, 1]], 'field_poly': [-2, 4, 4, -5, -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, [-64, 64, 32, -20, -2, 1]], [11, [-128, 160, 40, -28, -2, 1]], [17, [5504, 1984, -192, -92, 2, 1]]], 'hecke_orbit': 27, 'hecke_orbit_code': 117093590345190520, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 32, 'hecke_ring_index_factorization': [[2, 5]], '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': '3192.2.a.ba', 'level': 3192, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'minimal_twist': '3192.2.a.ba', 'nf_label': '5.5.135076.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+\\beta _{1}q^{5}+q^{7}+q^{9}-\\beta _{4}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3192.2.a', 'trace_display': [0, -5, 2, 5], 'trace_hash': 135321060242985508, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.070', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.754', 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [19, -1]], 3, 2], [[[2, 1], [3, 1], [7, -1], [19, -1]], 2, 2], [[[2, 1], [3, -1], [7, -1], [19, 1]], 2, 2], [[[2, 1], [3, 1], [7, -1], [19, 1]], 4, 1], [[[2, -1], [3, 1], [7, -1], [19, 1]], 3, 2], [[[2, 1], [3, -1], [7, 1], [19, 1]], 3, 2], [[[2, -1], [3, 1], [7, -1], [19, -1]], 5, 1], [[[2, 1], [3, 1], [7, 1], [19, 1]], 4, 1], [[[2, 1], [3, -1], [7, -1], [19, -1]], 5, 1], [[[2, -1], [3, -1], [7, 1], [19, -1]], 4, 1], [[[2, 1], [3, -1], [7, 1], [19, -1]], 3, 2], [[[2, -1], [3, -1], [7, 1], [19, 1]], 4, 2], [[[2, -1], [3, 1], [7, 1], [19, -1]], 3, 3], [[[2, 1], [3, 1], [7, 1], [19, -1]], 3, 3], [[[2, -1], [3, 1], [7, 1], [19, 1]], 4, 2], [[[2, -1], [3, -1], [7, -1], [19, 1]], 4, 1]], 'ALdims': [4, 3, 4, 2, 3, 3, 2, 5, 4, 3, 3, 5, 4, 4, 4, 3], 'Nk2': 12768, 'analytic_conductor': 25.4882483251927, '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': [3192, 1, [799, 1597, 2129, 913, 1009], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 625, 'dim': 56, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17], 'hecke_orbit_code': 33557624, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5], 'label': '3192.2.a', 'level': 3192, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'mf_dim': 656, 'mf_new_dim': 56, 'num_forms': 28, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 56, 'sturm_bound': 1280, 'trace_bound': 11, 'trace_display': [0, 0, -8, 0], 'traces': [56, 0, 0, 0, -8, 0, 0, 0, 56, 0, 0, 0, -8, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 8, 0, 16, 0, 0, 0, 0, 0, -8, 0, 16, 0, 8, 0, -16, 0, -8, 0, -48, 0, 56, 0, 8, 0, -8, 0, 16, 0, 4, 0, -32, 0, 16, 0, 0, 0, -16, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 56, 0, 16, 0, 0, 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mf_twists_cc • Show schema
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id: 48601846
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 117093590345190520, 'source_is_minimal': True, 'source_label': '3192.2.a.ba.1.1', 'source_level': 3192, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 117093590345190520, 'target_is_minimal': True, 'target_label': '3192.2.a.ba.1.1', 'target_level': 3192, 'twist_class_label': '3192.2.a.ba.1.1', 'twist_class_level': 3192, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48601847
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 117093590345190520, 'source_is_minimal': True, 'source_label': '3192.2.a.ba.1.1', 'source_level': 3192, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 297237575440016744, 'target_is_minimal': False, 'target_label': '9576.2.a.co.1.5', 'target_level': 9576, 'twist_class_label': '3192.2.a.ba.1.1', 'twist_class_level': 3192, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48601848
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 117093590345190520, 'source_is_minimal': True, 'source_label': '3192.2.a.ba.1.1', 'source_level': 3192, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 252201579166308592, 'target_is_minimal': False, 'target_label': '6384.2.a.ce.1.1', 'target_level': 6384, 'twist_class_label': '3192.2.a.ba.1.1', 'twist_class_level': 3192, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3053150
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 117093590345190520, 'p': 2}
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id: 3053151
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 117093590345190520, 'p': 3}
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id: 3053152
{'charpoly_factorization': [[[-64, 64, 32, -20, -2, 1], 1]], 'hecke_orbit_code': 117093590345190520, 'p': 5}
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id: 3053153
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 117093590345190520, 'p': 7}
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id: 3053154
{'charpoly_factorization': [[[-128, 160, 40, -28, -2, 1], 1]], 'hecke_orbit_code': 117093590345190520, 'p': 11}
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id: 3053155
{'charpoly_factorization': [[[-64, -352, 208, -12, -8, 1], 1]], 'hecke_orbit_code': 117093590345190520, 'p': 13}
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id: 3053156
{'charpoly_factorization': [[[5504, 1984, -192, -92, 2, 1], 1]], 'hecke_orbit_code': 117093590345190520, 'p': 17}
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id: 3053157
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 117093590345190520, 'p': 19}
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id: 3053158
{'charpoly_factorization': [[[128, 160, -24, -36, -2, 1], 1]], 'hecke_orbit_code': 117093590345190520, 'p': 23}
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id: 3053159
{'charpoly_factorization': [[[-1376, 128, 264, -52, -4, 1], 1]], 'hecke_orbit_code': 117093590345190520, 'p': 29}
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id: 3053160
{'charpoly_factorization': [[[-256, 1408, -208, -80, 4, 1], 1]], 'hecke_orbit_code': 117093590345190520, 'p': 31}
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id: 3053161
{'charpoly_factorization': [[[-352, -304, 224, -8, -10, 1], 1]], 'hecke_orbit_code': 117093590345190520, 'p': 37}
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id: 3053162
{'charpoly_factorization': [[[352, 1040, -240, -72, 6, 1], 1]], 'hecke_orbit_code': 117093590345190520, 'p': 41}
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id: 3053163
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 117093590345190520, 'p': 43}
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id: 3053164
{'charpoly_factorization': [[[-17728, 6624, 80, -180, 2, 1], 1]], 'hecke_orbit_code': 117093590345190520, 'p': 47}
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id: 3053165
{'charpoly_factorization': [[[-32, 0, 104, 44, -16, 1], 1]], 'hecke_orbit_code': 117093590345190520, 'p': 53}
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id: 3053166
{'charpoly_factorization': [[[105472, 11008, -2944, -256, 12, 1], 1]], 'hecke_orbit_code': 117093590345190520, 'p': 59}
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id: 3053167
{'charpoly_factorization': [[[-6, 1], 5]], 'hecke_orbit_code': 117093590345190520, 'p': 61}
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id: 3053168
{'charpoly_factorization': [[[10624, -10784, 2984, -108, -18, 1], 1]], 'hecke_orbit_code': 117093590345190520, 'p': 67}
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id: 3053169
{'charpoly_factorization': [[[44288, 2880, -1840, -172, 10, 1], 1]], 'hecke_orbit_code': 117093590345190520, 'p': 71}
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id: 3053170
{'charpoly_factorization': [[[8992, 5776, 752, -104, -14, 1], 1]], 'hecke_orbit_code': 117093590345190520, 'p': 73}
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id: 3053171
{'charpoly_factorization': [[[-512, -128, 504, -156, 2, 1], 1]], 'hecke_orbit_code': 117093590345190520, 'p': 79}
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id: 3053172
{'charpoly_factorization': [[[4096, 1536, -448, -92, 6, 1], 1]], 'hecke_orbit_code': 117093590345190520, 'p': 83}
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id: 3053173
{'charpoly_factorization': [[[-6304, 2448, 464, -168, -10, 1], 1]], 'hecke_orbit_code': 117093590345190520, 'p': 89}
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id: 3053174
{'charpoly_factorization': [[[-128, -704, -656, -172, -8, 1], 1]], 'hecke_orbit_code': 117093590345190520, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 27, 'label': '3192.2.a.ba', 'level': 3192, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 260288000
{'hecke_orbit_code': 117093590345190520, 'n': 1, 'trace_an': 5}
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id: 260288001
{'hecke_orbit_code': 117093590345190520, 'n': 2, 'trace_an': 0}
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id: 260288002
{'hecke_orbit_code': 117093590345190520, 'n': 3, 'trace_an': -5}
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id: 260288003
{'hecke_orbit_code': 117093590345190520, 'n': 4, 'trace_an': 0}
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id: 260288004
{'hecke_orbit_code': 117093590345190520, 'n': 5, 'trace_an': 2}
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id: 260288005
{'hecke_orbit_code': 117093590345190520, 'n': 6, 'trace_an': 0}
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id: 260288006
{'hecke_orbit_code': 117093590345190520, 'n': 7, 'trace_an': 5}
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id: 260288007
{'hecke_orbit_code': 117093590345190520, 'n': 8, 'trace_an': 0}
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id: 260288008
{'hecke_orbit_code': 117093590345190520, 'n': 9, 'trace_an': 5}
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id: 260288009
{'hecke_orbit_code': 117093590345190520, 'n': 10, 'trace_an': 0}
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id: 260288010
{'hecke_orbit_code': 117093590345190520, 'n': 11, 'trace_an': 2}
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id: 260288011
{'hecke_orbit_code': 117093590345190520, 'n': 12, 'trace_an': 0}
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id: 260288012
{'hecke_orbit_code': 117093590345190520, 'n': 13, 'trace_an': 8}
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id: 260288013
{'hecke_orbit_code': 117093590345190520, 'n': 14, 'trace_an': 0}
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id: 260288014
{'hecke_orbit_code': 117093590345190520, 'n': 15, 'trace_an': -2}
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id: 260288015
{'hecke_orbit_code': 117093590345190520, 'n': 16, 'trace_an': 0}
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id: 260288016
{'hecke_orbit_code': 117093590345190520, 'n': 17, 'trace_an': -2}
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