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{'Nk2': 11368, 'analytic_conductor': 22.693484254447885, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [7, -1], [29, -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': [2842, 1, [1277, 785], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 5, 'field_disc': 369849, 'field_disc_factorization': [[3, 1], [113, 1], [1091, 1]], 'field_poly': [-1, 3, 3, -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': [[3, [5, 2, -13, -5, 3, 1]], [5, [21, 3, -31, -4, 5, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326226202, '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': False, 'label': '2842.2.a.s', 'level': 2842, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 29], 'level_radical': 406, 'minimal_twist': '406.2.e.c', 'nf_label': '5.5.369849.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+(-\\beta _{1}+\\beta _{3})q^{3}+q^{4}+(-1+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2842.2.a', 'trace_display': [-5, -3, -5, 0], 'trace_hash': 353174469173762323, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.639', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '61.611', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1290.999', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, 'traces': [5, -5, -3, 5, -5, 3, 0, -5, 4, 5, 4, -3, -2, 0, 6, 5, -2, -4, -8, -5, 0, -4, -9, 3, 8, 2, -15, 0, 5, -6, 15, -5, -29, 2, 0, 4, -22, 8, 32, 5, -1, 0, 7, 4, 8, 9, -20, -3, 0, -8, -15, -2, 11, 15, 4, 0, 22, -5, -13, 6, 15, -15, 0, 5, -7, 29, 20, -2, -20, 0, -4, -4, 0, 22, -20, -8, 0, -32, 1, -5, 21, 1, -48, 0, -13, -7, -3, -4, 7, -8, 0, -9, -23, 20, 11, 3, -6, 0, 32, 8, -10, 15, -9, 2, 0, -11, -16, -15, 2, -4, 2, 0, 4, -22, -9, 5, -47, 13, 0, -6, 15, -15, 17, 15, -42, 0, -18, -5, 29, 7, -27, -29, 0, -20, -52, 2, 0, 20, -9, 0, -24, 4, -32, 4, -5, 0, 0, -22, -13, 20, -25, 8, 37, 0, -4, 32, -5, -1, -23, 5, 0, -21, 12, -1, -11, 48, -26, 0, 35, 13, -28, 7, -29, 3, 0, 4, -15, -7, 1, 8, 8, 0, -23, 9, -24, 23, 2, -20, 0, -11, -41, -3, -19, 6, -19, 0, 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mf_hecke_nf • Show schema
Hide schema
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5], [-35, 2, 1, 5, -19], [18, 5, -15, 1, 16], [-47, -2, -15, 3, -6], [0, 22, -14, -21, 4], [-1, -1, 12, -12, -15], [21, 18, 14, 24, -4], [9, -9, 18, 34, -2], [21, -9, -8, 9, 2], [-18, -5, 2, -18, 23], [25, 16, 9, 19, -6], [23, 23, -2, 18, -15], [-25, -9, -2, 6, -12], [23, 14, -7, 6, -4], [9, 2, 8, 12, -12], [20, -23, -13, 11, -18], [-7, -10, 5, 17, 7], [-54, 15, -8, -6, -1], [13, 7, 27, 6, -12], [-24, -11, -14, -16, 23], [-41, 14, 4, -39, 19], [17, -31, 22, 30, -8], [-65, -2, -7, -11, 6], [0, -26, 9, 4, -6], [10, 2, 21, -22, 0], [27, 11, 2, -34, -5], [-1, 18, 16, 13, -8], [16, -20, 3, 17, -13], [1, 6, -21, 16, 3], [-27, 18, 21, -3, -17], [-34, 18, -8, -14, -6], [7, -3, -19, 12, 12], [18, -27, -21, -12, 3], [-5, -18, 8, 38, 0], [11, -2, 18, 5, 5], [-5, -4, -19, -19, 0], [-15, -28, 5, -22, 13], [-16, -22, -7, -27, 10], [1, -3, -3, 27, 12], [-3, 9, -8, 12, 2], [20, 29, -12, -42, -4], [9, -7, -14, -13, 20], [-11, -15, -8, -30, 14], [28, -6, 24, 20, 2]], 'char_orbit_index': 1, 'field_poly': [-1, 3, 3, -6, -1, 1], 'hecke_orbit_code': 81064793326226202, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [2, 1, 1, 0, -1], [0, 6, 1, -1, 0], [10, 9, 7, 0, -6]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [2, -3, -6, 0, 1], [2, 3, -6, -1, 1], [4, -2, -7, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 5, 'label': '2842.2.a.s', 'level': 2842, 'maxp': 2999, 'weight': 2}
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{'AL_dims': [[[[2, -1], [7, -1], [29, -1]], 16, 4], [[[2, 1], [7, -1], [29, 1]], 10, 5], [[[2, -1], [7, 1], [29, -1]], 7, 2], [[[2, 1], [7, -1], [29, -1]], 13, 4], [[[2, 1], [7, 1], [29, -1]], 11, 3], [[[2, -1], [7, -1], [29, 1]], 10, 4], [[[2, 1], [7, 1], [29, 1]], 15, 3], [[[2, -1], [7, 1], [29, 1]], 15, 4]], 'ALdims': [15, 11, 10, 13, 15, 7, 10, 16], 'Nk2': 11368, 'analytic_conductor': 22.693484254447885, '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': [2842, 1, [1277, 785], [1, 1]], 'conrey_index': 1, 'cusp_dim': 405, 'dim': 97, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 33557274, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6], 'label': '2842.2.a', 'level': 2842, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 29], 'level_radical': 406, 'mf_dim': 436, 'mf_new_dim': 97, 'num_forms': 29, 'plus_dim': 45, 'prim_orbit_index': 1, 'relative_dim': 97, 'sturm_bound': 840, 'trace_bound': 11, 'trace_display': [-1, -4, 0, 0], 'traces': [97, -1, -4, 97, 0, -2, 0, -1, 95, 2, 0, -4, 4, 0, 0, 97, 2, 11, 16, 0, 0, 2, 4, -2, 105, 18, -4, 0, -3, 22, 0, -1, 14, -6, 0, 95, -46, -12, -24, 2, -18, 0, -32, 0, 14, 4, -16, -4, 0, 9, 4, 4, 8, -26, 8, 0, -8, -1, -56, 0, 42, 10, 0, 97, 42, 16, -20, 2, 20, 0, -8, 11, 38, 18, 48, 16, 0, 34, -8, 0, 97, 10, 8, 0, 56, 10, 0, 2, 6, 62, 0, 4, 50, 26, -24, -2, -2, 0, -60, 105, 14, -4, -24, 18, 0, 38, -48, -4, -32, 10, -16, 0, -14, -56, -20, -3, 38, -12, 0, 22, 175, 14, -68, 0, -42, 0, 0, -1, 14, 36, -40, 14, 0, -68, -144, -6, -50, -36, 16, 0, -54, 36, -32, 95, 4, -26, 0, -46, 28, -20, 4, -12, -10, 0, -132, -24, 38, 30, -40, 2, 0, -49, -72, -18, -150, -4, -24, 0, 137, 32, 88, -32, -10, 6, 0, 0, -116, -6, -68, 14, 52, 0, -28, 4, -60, 44, -52, -16, 0, 80, 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mf_twists_nf • Show schema
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id: 1006785
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '2842.2.a.s', 'source_level': 2842, 'target_char_orbit': 5, 'target_dim': 10, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '406.2.e.c', 'target_level': 406, 'twist_class_label': '406.2.e.c', 'twist_class_level': 406, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1006786
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '2842.2.a.s', 'source_level': 2842, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '2842.2.a.s', 'target_level': 2842, 'twist_class_label': '406.2.e.c', 'twist_class_level': 406, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1006787
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '2842.2.a.s', 'source_level': 2842, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '2842.2.a.v', 'target_level': 2842, 'twist_class_label': '406.2.e.c', 'twist_class_level': 406, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2875800
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 81064793326226202, 'p': 2}
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id: 2875801
{'charpoly_factorization': [[[5, 2, -13, -5, 3, 1], 1]], 'hecke_orbit_code': 81064793326226202, 'p': 3}
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id: 2875802
{'charpoly_factorization': [[[21, 3, -31, -4, 5, 1], 1]], 'hecke_orbit_code': 81064793326226202, 'p': 5}
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id: 2875803
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 81064793326226202, 'p': 7}
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id: 2875804
{'charpoly_factorization': [[[-21, 102, 76, -27, -4, 1], 1]], 'hecke_orbit_code': 81064793326226202, 'p': 11}
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id: 2875805
{'charpoly_factorization': [[[875, 570, -83, -48, 2, 1], 1]], 'hecke_orbit_code': 81064793326226202, 'p': 13}
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id: 2875806
{'charpoly_factorization': [[[21, 78, -16, -19, 2, 1], 1]], 'hecke_orbit_code': 81064793326226202, 'p': 17}
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id: 2875807
{'charpoly_factorization': [[[-7, -22, 0, 17, 8, 1], 1]], 'hecke_orbit_code': 81064793326226202, 'p': 19}
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id: 2875808
{'charpoly_factorization': [[[-435, -768, -371, -25, 9, 1], 1]], 'hecke_orbit_code': 81064793326226202, 'p': 23}
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id: 2875809
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 81064793326226202, 'p': 29}
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id: 2875810
{'charpoly_factorization': [[[-2083, -335, 369, 20, -15, 1], 1]], 'hecke_orbit_code': 81064793326226202, 'p': 31}
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id: 2875811
{'charpoly_factorization': [[[-37693, -16320, -1954, 49, 22, 1], 1]], 'hecke_orbit_code': 81064793326226202, 'p': 37}
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id: 2875812
{'charpoly_factorization': [[[-213, 111, 119, -60, 1, 1], 1]], 'hecke_orbit_code': 81064793326226202, 'p': 41}
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id: 2875813
{'charpoly_factorization': [[[-10547, 1150, 809, -111, -7, 1], 1]], 'hecke_orbit_code': 81064793326226202, 'p': 43}
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id: 2875814
{'charpoly_factorization': [[[2421, -1146, -412, 71, 20, 1], 1]], 'hecke_orbit_code': 81064793326226202, 'p': 47}
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id: 2875815
{'charpoly_factorization': [[[-3435, -198, 473, -29, -11, 1], 1]], 'hecke_orbit_code': 81064793326226202, 'p': 53}
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id: 2875816
{'charpoly_factorization': [[[225, -750, -659, -31, 13, 1], 1]], 'hecke_orbit_code': 81064793326226202, 'p': 59}
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id: 2875817
{'charpoly_factorization': [[[-1327, -5903, 3102, -178, -15, 1], 1]], 'hecke_orbit_code': 81064793326226202, 'p': 61}
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id: 2875818
{'charpoly_factorization': [[[-7193, -1974, 701, 54, -20, 1], 1]], 'hecke_orbit_code': 81064793326226202, 'p': 67}
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id: 2875819
{'charpoly_factorization': [[[-3675, 2256, -92, -91, 4, 1], 1]], 'hecke_orbit_code': 81064793326226202, 'p': 71}
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id: 2875820
{'charpoly_factorization': [[[-24575, 6856, 312, -165, 0, 1], 1]], 'hecke_orbit_code': 81064793326226202, 'p': 73}
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id: 2875821
{'charpoly_factorization': [[[-5041, 7834, 473, -215, -1, 1], 1]], 'hecke_orbit_code': 81064793326226202, 'p': 79}
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id: 2875822
{'charpoly_factorization': [[[-2349, 16029, 6163, 833, 48, 1], 1]], 'hecke_orbit_code': 81064793326226202, 'p': 83}
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id: 2875823
{'charpoly_factorization': [[[4335, 3201, 226, -119, -7, 1], 1]], 'hecke_orbit_code': 81064793326226202, 'p': 89}
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id: 2875824
{'charpoly_factorization': [[[10525, 2806, -552, -141, 6, 1], 1]], 'hecke_orbit_code': 81064793326226202, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '2842.2.a.s', 'level': 2842, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 243972000
{'hecke_orbit_code': 81064793326226202, 'n': 1, 'trace_an': 5}
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id: 243972001
{'hecke_orbit_code': 81064793326226202, 'n': 2, 'trace_an': -5}
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id: 243972002
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