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{'Nk2': 8736, 'analytic_conductor': 32.21504286313438, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, -1], [13, 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': [546, 1, [365, 157, 379], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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, [12, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798949220898, 'hecke_ring_generator_nbound': 1, '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_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '546.4.a.d', 'level': 546, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '546.4.a.d', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{2}+3q^{3}+4q^{4}-12q^{5}+6q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '546.4.a', 'trace_display': [2, 3, -12, 7], 'trace_hash': 223409410559407179, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.960', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.020', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.857', 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [3, 2, 1, 3, 2, 2, 3, 2, 2, 3, 3, 1, 3, 1, 1, 4], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'ALdims_old': [21, 17, 18, 18, 19, 18, 18, 17, 16, 19, 19, 20, 16, 20, 19, 17], 'Nk2': 8736, 'analytic_conductor': 32.21504286313438, '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': [546, 1, [365, 157, 379], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 328, 'dim': 36, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 67109410, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4], 'label': '546.4.a', 'level': 546, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 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mf_twists_nf • Show schema
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id: 378306
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '546.4.a.d', 'source_level': 546, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '546.4.a.d', 'target_level': 546, 'twist_class_label': '546.4.a.d', 'twist_class_level': 546, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 378307
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '546.4.a.d', 'source_level': 546, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1638.4.a.g', 'target_level': 1638, 'twist_class_label': '546.4.a.d', 'twist_class_level': 546, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 1031300
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 2}
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id: 1031301
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 3}
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id: 1031302
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 5}
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id: 1031303
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 7}
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id: 1031304
{'charpoly_factorization': [[[50, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 11}
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id: 1031305
{'charpoly_factorization': [[[13, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 13}
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id: 1031306
{'charpoly_factorization': [[[58, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 17}
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id: 1031307
{'charpoly_factorization': [[[40, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 19}
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id: 1031308
{'charpoly_factorization': [[[64, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 23}
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id: 1031309
{'charpoly_factorization': [[[110, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 29}
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id: 1031310
{'charpoly_factorization': [[[-124, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 31}
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id: 1031311
{'charpoly_factorization': [[[50, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 37}
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id: 1031312
{'charpoly_factorization': [[[-84, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 41}
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id: 1031313
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 43}
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id: 1031314
{'charpoly_factorization': [[[82, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 47}
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id: 1031315
{'charpoly_factorization': [[[442, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 53}
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id: 1031316
{'charpoly_factorization': [[[618, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 59}
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id: 1031317
{'charpoly_factorization': [[[278, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 61}
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id: 1031318
{'charpoly_factorization': [[[-20, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 67}
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id: 1031319
{'charpoly_factorization': [[[390, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 71}
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id: 1031320
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 73}
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id: 1031321
{'charpoly_factorization': [[[680, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 79}
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id: 1031322
{'charpoly_factorization': [[[-322, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 83}
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id: 1031323
{'charpoly_factorization': [[[-968, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 89}
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id: 1031324
{'charpoly_factorization': [[[-1022, 1], 1]], 'hecke_orbit_code': 13510798949220898, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '546.4.a.d', 'level': 546, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 34692463
{'hecke_orbit_code': 13510798949220898, 'n': 1, 'trace_an': 1}
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id: 34692464
{'hecke_orbit_code': 13510798949220898, 'n': 2, 'trace_an': 2}
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id: 34692465
{'hecke_orbit_code': 13510798949220898, 'n': 3, 'trace_an': 3}
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id: 34692466
{'hecke_orbit_code': 13510798949220898, 'n': 4, 'trace_an': 4}
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id: 34692467
{'hecke_orbit_code': 13510798949220898, 'n': 5, 'trace_an': -12}
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id: 34692468
{'hecke_orbit_code': 13510798949220898, 'n': 6, 'trace_an': 6}
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id: 34692469
{'hecke_orbit_code': 13510798949220898, 'n': 7, 'trace_an': 7}
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id: 34692470
{'hecke_orbit_code': 13510798949220898, 'n': 8, 'trace_an': 8}
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id: 34692471
{'hecke_orbit_code': 13510798949220898, 'n': 9, 'trace_an': 9}
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id: 34692472
{'hecke_orbit_code': 13510798949220898, 'n': 10, 'trace_an': -24}
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id: 34692473
{'hecke_orbit_code': 13510798949220898, 'n': 11, 'trace_an': -50}
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id: 34692474
{'hecke_orbit_code': 13510798949220898, 'n': 12, 'trace_an': 12}
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id: 34692475
{'hecke_orbit_code': 13510798949220898, 'n': 13, 'trace_an': -13}
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id: 34692476
{'hecke_orbit_code': 13510798949220898, 'n': 14, 'trace_an': 14}
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id: 34692477
{'hecke_orbit_code': 13510798949220898, 'n': 15, 'trace_an': -36}
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id: 34692478
{'hecke_orbit_code': 13510798949220898, 'n': 16, 'trace_an': 16}
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id: 34692479
{'hecke_orbit_code': 13510798949220898, 'n': 17, 'trace_an': -58}
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id: 34692480
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