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{'Nk2': 8112, 'analytic_conductor': 29.913968372910492, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 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': [507, 1, [170, 340], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 11255232, 'field_disc_factorization': [[2, 6], [3, 1], [31, 2], [61, 1]], 'field_poly': [78, 24, -25, -2, 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': [[2, [78, -24, -25, 2, 1]], [5, [6084, 156, -203, -6, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797086073339, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], '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': '507.4.a.i', 'level': 507, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'minimal_twist': '39.4.e.c', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}-3q^{3}+(5+\\beta _{1}+\\beta _{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '507.4.a', 'trace_display': [-2, -12, 6, 14], 'trace_hash': 1895325866587511936, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.023', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.764', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.476', 'prec': 17}, {'__RealLiteral__': 0, 'data': '39.549', 'prec': 20}, 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mf_hecke_nf • Show schema
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182, 4475, -2025], [-95820, 27402, 4659, 4375], [11100, -21786, -9417, 495], [-46410, 11043, -3103, 7294], [-18751, -17231, 12407, -4190], [138436, -15806, -3476, -558], [195221, -12163, 1376, 2073], [27028, -6431, 7194, -1169], [63736, -21298, -7766, -5848]], 'char_orbit_index': 1, 'field_poly': [78, 24, -25, -2, 1], 'hecke_orbit_code': 36028797086073339, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [13, 1, 1, 0], [11, 21, 2, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-13, -1, 1, 0], [15, -19, -2, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '507.4.a.i', 'level': 507, 'maxp': 2999, 'weight': 4}
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{'AL_dims': [[[[3, -1], [13, -1]], 23, 3], [[[3, -1], [13, 1]], 16, 6], [[[3, 1], [13, -1]], 19, 4], [[[3, 1], [13, 1]], 20, 5]], 'ALdims': [20, 19, 16, 23], 'Nk2': 8112, 'analytic_conductor': 29.913968372910492, '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': [507, 1, [170, 340], [1, 1]], 'conrey_index': 1, 'cusp_dim': 168, 'dim': 78, 'eis_dim': 28, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 67109371, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 4, 9, 9, 9, 9, 10], 'label': '507.4.a', 'level': 507, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'mf_dim': 196, 'mf_new_dim': 78, 'num_forms': 18, 'plus_dim': 43, 'prim_orbit_index': 1, 'relative_dim': 78, 'sturm_bound': 242, 'trace_bound': 4, 'trace_display': [-4, 0, -16, -32], 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mf_twists_nf • Show schema
Hide schema
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id: 359589
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '507.4.a.i', 'source_level': 507, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '39.4.e.c', 'target_level': 39, 'twist_class_label': '39.4.e.c', 'twist_class_level': 39, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 359590
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '507.4.a.i', 'source_level': 507, 'target_char_orbit': 7, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '117.4.g.e', 'target_level': 117, 'twist_class_label': '39.4.e.c', 'twist_class_level': 39, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 359591
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '507.4.a.i', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '507.4.a.i', 'target_level': 507, 'twist_class_label': '39.4.e.c', 'twist_class_level': 39, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 359592
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '507.4.a.i', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '507.4.a.m', 'target_level': 507, 'twist_class_label': '39.4.e.c', 'twist_class_level': 39, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 359593
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '507.4.a.i', 'source_level': 507, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '507.4.b.h', 'target_level': 507, 'twist_class_label': '39.4.e.c', 'twist_class_level': 39, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 359594
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '507.4.a.i', 'source_level': 507, 'target_char_orbit': 17, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '624.4.q.i', 'target_level': 624, 'twist_class_label': '39.4.e.c', 'twist_class_level': 39, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 359595
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '507.4.a.i', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '1521.4.a.v', 'target_level': 1521, 'twist_class_label': '39.4.e.c', 'twist_class_level': 39, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 359596
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '507.4.a.i', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '1521.4.a.bb', 'target_level': 1521, 'twist_class_label': '39.4.e.c', 'twist_class_level': 39, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 981600
{'charpoly_factorization': [[[78, -24, -25, 2, 1], 1]], 'hecke_orbit_code': 36028797086073339, 'p': 2}
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id: 981601
{'charpoly_factorization': [[[3, 1], 4]], 'hecke_orbit_code': 36028797086073339, 'p': 3}
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id: 981602
{'charpoly_factorization': [[[6084, 156, -203, -6, 1], 1]], 'hecke_orbit_code': 36028797086073339, 'p': 5}
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id: 981603
{'charpoly_factorization': [[[206212, 12652, -1123, -14, 1], 1]], 'hecke_orbit_code': 36028797086073339, 'p': 7}
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id: 981604
{'charpoly_factorization': [[[27408, -43104, -1256, 40, 1], 1]], 'hecke_orbit_code': 36028797086073339, 'p': 11}
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id: 981605
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36028797086073339, 'p': 13}
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id: 981606
{'charpoly_factorization': [[[22571952, 458232, -7255, -98, 1], 1]], 'hecke_orbit_code': 36028797086073339, 'p': 17}
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id: 981607
{'charpoly_factorization': [[[1720384, -752864, -5932, 124, 1], 1]], 'hecke_orbit_code': 36028797086073339, 'p': 19}
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id: 981608
{'charpoly_factorization': [[[-2571504, 455520, -6824, -104, 1], 1]], 'hecke_orbit_code': 36028797086073339, 'p': 23}
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id: 981609
{'charpoly_factorization': [[[-274591068, 6979644, -32795, -194, 1], 1]], 'hecke_orbit_code': 36028797086073339, 'p': 29}
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id: 981610
{'charpoly_factorization': [[[328187792, -7719192, -80975, 26, 1], 1]], 'hecke_orbit_code': 36028797086073339, 'p': 31}
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id: 981611
{'charpoly_factorization': [[[27176708, -676916, -9331, 102, 1], 1]], 'hecke_orbit_code': 36028797086073339, 'p': 37}
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id: 981612
{'charpoly_factorization': [[[1021233552, -43248936, 357785, -1054, 1], 1]], 'hecke_orbit_code': 36028797086073339, 'p': 41}
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id: 981613
{'charpoly_factorization': [[[-2362804828, 31773980, -41275, -450, 1], 1]], 'hecke_orbit_code': 36028797086073339, 'p': 43}
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id: 981614
{'charpoly_factorization': [[[42871452048, 29776128, -434600, -96, 1], 1]], 'hecke_orbit_code': 36028797086073339, 'p': 47}
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id: 981615
{'charpoly_factorization': [[[744728256, -2515248, -111719, -262, 1], 1]], 'hecke_orbit_code': 36028797086073339, 'p': 53}
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id: 981616
{'charpoly_factorization': [[[-2116598016, -90813888, -263836, 308, 1], 1]], 'hecke_orbit_code': 36028797086073339, 'p': 59}
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id: 981617
{'charpoly_factorization': [[[-5230543711, -48077280, 133150, 928, 1], 1]], 'hecke_orbit_code': 36028797086073339, 'p': 61}
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id: 981618
{'charpoly_factorization': [[[10235224388, 104689204, 15749, -1134, 1], 1]], 'hecke_orbit_code': 36028797086073339, 'p': 67}
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id: 981619
{'charpoly_factorization': [[[-99058755696, -452251872, -230600, 1064, 1], 1]], 'hecke_orbit_code': 36028797086073339, 'p': 71}
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id: 981620
{'charpoly_factorization': [[[-120133390247, -871736216, -788026, 952, 1], 1]], 'hecke_orbit_code': 36028797086073339, 'p': 73}
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id: 981621
{'charpoly_factorization': [[[680937616, 18779384, 184337, 746, 1], 1]], 'hecke_orbit_code': 36028797086073339, 'p': 79}
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id: 981622
{'charpoly_factorization': [[[58964273856, 98426784, -475756, -404, 1], 1]], 'hecke_orbit_code': 36028797086073339, 'p': 83}
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id: 981623
{'charpoly_factorization': [[[-268616132736, -1761071808, -813980, 1620, 1], 1]], 'hecke_orbit_code': 36028797086073339, 'p': 89}
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id: 981624
{'charpoly_factorization': [[[-445091164, 17623300, 510053, 2166, 1], 1]], 'hecke_orbit_code': 36028797086073339, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '507.4.a.i', 'level': 507, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 199930000
{'hecke_orbit_code': 36028797086073339, 'n': 1, 'trace_an': 4}
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id: 199930001
{'hecke_orbit_code': 36028797086073339, 'n': 2, 'trace_an': -2}
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id: 199930002
{'hecke_orbit_code': 36028797086073339, 'n': 3, 'trace_an': -12}
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id: 199930003
{'hecke_orbit_code': 36028797086073339, 'n': 4, 'trace_an': 22}
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id: 199930004
{'hecke_orbit_code': 36028797086073339, 'n': 5, 'trace_an': 6}
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id: 199930005
{'hecke_orbit_code': 36028797086073339, 'n': 6, 'trace_an': 6}
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id: 199930006
{'hecke_orbit_code': 36028797086073339, 'n': 7, 'trace_an': 14}
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id: 199930007
{'hecke_orbit_code': 36028797086073339, 'n': 8, 'trace_an': -54}
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id: 199930008
{'hecke_orbit_code': 36028797086073339, 'n': 9, 'trace_an': 36}
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id: 199930009
{'hecke_orbit_code': 36028797086073339, 'n': 10, 'trace_an': -62}
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id: 199930010
{'hecke_orbit_code': 36028797086073339, 'n': 11, 'trace_an': -40}
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id: 199930011
{'hecke_orbit_code': 36028797086073339, 'n': 12, 'trace_an': -66}
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id: 199930012
{'hecke_orbit_code': 36028797086073339, 'n': 13, 'trace_an': 0}
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id: 199930013
{'hecke_orbit_code': 36028797086073339, 'n': 14, 'trace_an': 40}
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id: 199930014
{'hecke_orbit_code': 36028797086073339, 'n': 15, 'trace_an': -18}
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id: 199930015
{'hecke_orbit_code': 36028797086073339, 'n': 16, 'trace_an': 122}
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id: 199930016
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{'hecke_orbit_code': 36028797086073339, 'n': 996, 'trace_an': -31860}
-
id: 199930996
{'hecke_orbit_code': 36028797086073339, 'n': 997, 'trace_an': 73120}
-
id: 199930997
{'hecke_orbit_code': 36028797086073339, 'n': 998, 'trace_an': -8128}
-
id: 199930998
{'hecke_orbit_code': 36028797086073339, 'n': 999, 'trace_an': 2754}
-
id: 199930999
{'hecke_orbit_code': 36028797086073339, 'n': 1000, 'trace_an': -28586}