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{'Nk2': 18088, 'analytic_conductor': 36.10835179402299, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, 1], [17, -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': [4522, 1, [647, 2927, 477], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 11, 'field_disc': 493082513547807745720, 'field_disc_factorization': [[2, 3], [5, 1], [12327062838695193643, 1]], 'field_poly': [-256, -240, 776, 785, -650, -745, 127, 217, -7, -25, 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': [[3, [-256, -240, 776, 785, -650, -745, 127, 217, -7, -25, 0, 1]], [5, [-1080, -1820, 1858, 3715, -579, -2040, -37, 419, 18, -35, -1, 1]], [11, [480, -3520, 1522, 18831, 10218, -6346, -2852, 1039, 187, -61, -3, 1]], [13, [-128, 4336, -31256, 5000, 23174, -2263, -4769, 422, 343, -36, -8, 1]]], 'hecke_orbit': 31, 'hecke_orbit_code': 135107988854673834, 'hecke_ring_generator_nbound': 23, '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_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4522.2.a.be', 'level': 4522, '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, 7, 17, 19], 'level_radical': 4522, 'minimal_twist': '4522.2.a.be', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+\\beta _{1}q^{3}+q^{4}-\\beta _{3}q^{5}+\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 11, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4522.2.a', 'trace_display': [11, 0, 1, -11], 'trace_hash': 356609020797380117, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.112', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.808', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.442', 'prec': 17}, {'__RealLiteral__': 0, 'data': '276.234', 'prec': 24}, {'__RealLiteral__': 0, 'data': '305.310', 'prec': 24}, {'__RealLiteral__': 0, 'data': '12597.203', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 'traces': [11, 11, 0, 11, 1, 0, -11, 11, 17, 1, 3, 0, 8, -11, -2, 11, 11, 17, 11, 1, 0, 3, -6, 0, 16, 8, 21, -11, 0, -2, -7, 11, 21, 11, -1, 17, 3, 11, -6, 1, 16, 0, -10, 3, 27, -6, 22, 0, 11, 16, 0, 8, 21, 21, 41, -11, 0, 0, 26, -2, 23, -7, -17, 11, -2, 21, -1, 11, 30, -1, 0, 17, 9, 3, -34, 11, -3, -6, 11, 1, 31, 16, 28, 0, 1, -10, 9, 3, 32, 27, -8, -6, 27, 22, 1, 0, -9, 11, -23, 16, 20, 0, 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mf_hecke_nf • Show schema
Hide schema
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[-17, 4, 2, 1, 4, -7, 0, 7, 2, 1, 2], [-2, -1, -3, -1, 3, -2, 4, 3, -10, -4, -2], [20, -2, 0, 7, -5, -1, -2, -4, -1, -7, 7], [20, -6, 6, 4, -2, 4, -3, -5, 7, 1, 1], [4, 6, -4, 4, -8, -2, 3, 0, -6, -2, -10], [6, 5, -1, -9, 1, -2, -1, -4, -1, -1, -5], [39, 18, 2, -6, -8, -3, -4, -1, 7, 1, 0], [-2, -3, -5, -5, -3, 3, -4, -6, 2, -2, -1], [0, 8, -6, 2, -2, -5, -1, -8, 5, -5, 0], [-10, -7, 2, 3, -3, -4, 3, 0, -4, 0, 1], [30, 1, -7, -20, 0, 6, 0, -6, 3, 4, -4], [9, -4, 2, 5, -5, -5, -1, 1, 1, 1, -5], [33, 4, -2, 8, -1, 0, 5, -9, -1, 3, -5], [6, 1, 2, -7, 5, -3, 8, -2, -3, 5, -9], [-4, 10, -2, -9, -7, 3, 0, -1, 2, 4, -8], [-1, 7, -2, -5, 5, -7, -1, 0, -6, 9, -2], [8, 5, 7, 6, 2, -6, -5, 0, 7, 0, 0], [19, 8, -1, -11, 4, -5, -5, -5, 6, 3, 0], [6, 14, -2, 5, -4, -9, 5, 1, 1, -1, -5], [-9, 19, -1, 2, -1, 1, 2, -1, 2, 3, 3], [47, 6, 2, -5, 7, 4, -1, 5, -6, 1, 3], [0, -7, -4, -10, 0, 2, -3, -4, -2, 2, -2], [8, 5, -3, -2, 9, -1, 4, -3, -4, -6, 4], [-1, 0, -6, 6, 0, 4, -2, -4, 1, -5, -3], [31, 4, -6, -8, -4, 5, -2, -3, -3, 5, -10], [16, -10, 4, 16, -1, 1, -4, 7, 1, -3, 2], [-6, 4, 6, 9, 1, -3, -2, 5, 0, -2, 2], [-6, 7, 3, -11, -6, 1, 2, 1, -2, 4, -1], [11, -5, 1, 1, 2, -11, 6, 6, -11, -2, -7], [3, 0, -6, -9, -1, 2, -5, -1, 0, -2, -1], [-30, 3, 4, 11, 1, -4, 1, 4, 2, -10, 5], [15, -5, -3, -7, -5, 4, -3, -5, 5, 9, -5], [9, 8, -1, 1, -2, 4, -4, -3, 7, 5, -6], [4, -1, -1, -14, 3, 6, 1, -1, 0, 6, -6], [-6, 2, 5, 24, -3, -8, 0, 8, -3, 0, 3], [11, -1, -1, -15, 1, 4, -1, -5, 1, 6, 7], [-16, -7, 1, 6, 5, -6, -1, 3, -4, 4, 0], [19, -10, 1, 6, 3, 0, -4, -6, 8, -1, 8], [-10, -13, 1, -6, -6, 14, -1, -4, -5, 1, -4], [18, 7, -5, -1, 10, -6, 5, -3, -5, 5, -7], [14, -1, -1, -5, -1, -11, 7, -1, -1, 3, -8], [4, 12, -1, 8, 2, -2, 9, 0, -5, 9, -8], [19, 13, -7, 7, 9, -8, 1, -1, 7, 7, -5], [14, -11, -5, -6, 4, 4, -1, 2, -11, -1, -8], [26, 15, -5, -10, 6, 2, -3, 0, 1, 5, 0], [19, 1, 3, -1, -4, -3, 8, 2, -7, -3, -3], [-7, 0, -4, 9, -5, 6, 1, -7, 2, -10, 9], [-8, -11, 5, -2, -7, 7, 0, -1, -2, 0, 0], [0, -1, 8, -3, -3, 7, -6, -4, 1, -7, 7], [-24, 12, 2, -2, -2, 0, 1, 4, 8, 1, -4], [-27, 1, -9, -12, -9, 6, 1, -10, 0, -3, -2], [1, -13, 3, 11, 2, 7, 1, 11, -5, -5, 0], [-22, -4, 4, -6, 6, 1, -5, 2, 1, 5, -2], [3, 5, -11, -13, 9, 3, -2, 3, -2, 5, -3], [16, 8, -5, -2, 0, -2, -6, 3, 0, -6, 3], [-26, 2, 8, 8, 2, -6, 2, 10, -4, 2, 6], [0, -11, 1, 0, -9, 19, 2, 6, -9, 3, -1], [16, -6, -4, 0, -10, -4, 7, -2, -2, 0, -2], [-16, 12, 2, -4, 4, -3, 1, -2, 1, 10, -6], [-28, -4, 0, -1, -2, 14, -4, -5, 0, 0, 3], [3, 4, 4, -11, -2, 4, -6, -2, -3, -5, 3], [-3, -7, 1, 8, 0, 10, 0, -2, 0, 6, 1], [-1, -9, -1, -13, 1, 4, -7, -1, 5, -3, 3], [26, 10, -3, 10, 6, -7, -1, 4, 8, 0, 12], [-26, -11, 5, -2, -6, 6, 4, -2, 5, -7, 8], [1, 8, -7, -2, 1, 2, -5, 0, 0, -3, -4], [1, 15, -3, 5, -3, -5, 1, -7, 2, -2, -7], [-19, -11, -2, 3, -9, 11, 6, 1, -9, -3, -3], [20, 13, -1, -4, 5, -3, -2, 5, -2, 4, 0], [-25, -6, 2, -5, -11, 6, -1, 0, 3, -1, -2], [-15, 10, 2, -2, 3, -8, 6, 12, -10, 2, -2], [-9, -3, 1, -5, -13, -4, 6, 1, -5, -2, -5], [12, -2, -1, 3, -8, 14, 1, 1, -4, -1, 5], [4, -7, 1, -8, 2, 6, -3, 2, 3, 1, 0], [22, -3, -7, -8, -4, 7, 3, -14, 2, 8, -6], [9, -4, 2, -6, 10, 2, -2, 0, 1, -5, 1], [-19, -12, -4, 7, -3, -4, 3, 2, -9, -1, 2], [-23, 14, 0, -15, 1, 3, -7, -7, 11, 1, 3], [2, -16, -3, 7, 1, 1, 1, 4, -8, 0, -1], [16, 8, 1, 15, 4, -4, -4, 4, 7, -6, 12], [-19, -6, -5, -6, 6, 3, -1, 1, -6, -5, 4], [-7, -7, -3, -6, 9, -3, -1, -3, -5, -1, -3], [8, -12, -4, -17, -13, 12, 2, -9, 1, -1, -10], [9, -13, -6, -1, -5, 8, -3, -8, 3, 1, -8], [15, -11, -1, -7, -1, 9, -1, -1, 0, 4, -5], [28, -3, -3, 4, -2, 2, 1, -8, 5, 5, 0], [1, -5, 1, 2, 12, 1, 3, 5, 0, -2, 6], [3, -1, 1, -11, 3, 1, -3, -1, 6, -6, 3], [-1, -13, 0, -10, -9, 7, 5, -6, 4, -3, 6], [7, 10, 4, 27, 9, -13, 2, 9, 1, 7, -1], [6, 1, -3, 2, -10, 4, 0, -3, 4, -4, -5], [-16, 0, 3, -3, -1, 0, 2, 4, -5, 3, 5], [7, -8, -6, -7, -1, -3, -1, -5, -1, 7, -9], [-8, -13, 7, 2, -6, 8, 6, 0, -1, 2, 2], [27, -6, -4, -13, -13, 9, 1, -7, -3, 3, -11], [16, -10, -2, 10, 6, 0, -2, -12, 4, 2, -2]], 'char_orbit_index': 1, 'field_poly': [-256, -240, 776, 785, -650, -745, 127, 217, -7, -25, 0, 1], 'hecke_orbit_code': 135107988854673834, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 50, 200, 200, 200, 400, 400, 200, 400, 400], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 1, 0, 0, 1, -1, 0, 0, 0, 0, 0], [1, 7, 0, 0, -1, 0, 1, 0, 0, -1, 0], [39, 11, 1, 2, 11, -11, 0, 2, -1, 0, 0], [13, 58, 2, 2, -12, -1, 13, -1, 0, -10, -2], [339, 107, 16, 38, 110, -110, 2, 33, -15, -1, 0], [127, 508, 42, 37, -124, -20, 143, -12, 0, -94, -31], [3057, 1020, 203, 520, 1088, -1084, 39, 413, -175, -24, 4], [1153, 4580, 611, 525, -1232, -276, 1493, -108, 8, -902, -357], [28136, 9719, 2388, 6265, 10762, -10653, 525, 4681, -1865, -389, 121]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [23872, -5086, -65879, 3592, 55849, 3893, -16253, -1095, 1919, 68, -79], [-110064, 25932, 307173, -19054, -262313, -17641, 76561, 5065, -9053, -316, 373], [202872, -46136, -565879, 34942, 481599, 31543, -140103, -9095, 16519, 568, -679], [203872, -45936, -566079, 34942, 481599, 31543, -140103, -9095, 16519, 568, -679], [-518064, 93832, 1440973, -43954, -1230213, -101741, 360661, 26565, -42853, -1616, 1773], [557056, -123928, -1558317, 83266, 1337077, 96589, -391669, -26885, 46437, 1664, -1917], [429216, -92408, -1205287, 59526, 1035647, 76879, -303559, -21135, 36007, 1304, -1487], [-923408, 188904, 2572731, -114238, -2193411, -164827, 640867, 44755, -75891, -2752, 3131], [-1693792, 349696, 4725769, -219762, -4036489, -299873, 1180233, 81945, -139809, -5048, 5769]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 11, 'label': '4522.2.a.be', 'level': 4522, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [12, 6, 8, 10, 7, 11, 9, 9, 9, 9, 6, 12, 6, 12, 15, 4], 'Nk2': 18088, 'analytic_conductor': 36.10835179402299, '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': [4522, 1, [647, 2927, 477], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 713, 'dim': 145, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11, 13], 'hecke_orbit_code': 33558954, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 7, 8, 8, 10, 11, 11, 11, 15], 'label': '4522.2.a', 'level': 4522, '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, 7, 17, 19], 'level_radical': 4522, 'mf_dim': 728, 'mf_new_dim': 145, 'num_forms': 32, 'plus_dim': 67, 'prim_orbit_index': 1, 'relative_dim': 145, 'sturm_bound': 1440, 'trace_bound': 11, 'trace_display': [1, -12, -10, 1], 'traces': [145, 1, -12, 145, -10, 4, 1, 1, 141, 6, 4, -12, 14, 1, -8, 145, 1, 13, 1, -10, 4, 12, 8, 4, 127, 14, -24, 1, 30, 24, -16, 1, 32, 1, 6, 141, -10, 1, 56, 6, 26, 4, 28, 4, -2, 24, 16, -12, 145, 31, 4, 14, 22, 40, 24, 1, -4, 6, -4, -8, -2, 16, 13, 145, 52, 32, -28, 1, -32, 6, -56, 13, 26, -18, -68, 1, 12, -24, 16, -10, 121, 26, -44, 4, -2, 28, -8, 12, -118, -2, 14, 8, -16, 16, 6, 4, 2, 1, -108, 127, 6, -4, 8, 14, 24, 22, -20, -24, 14, -24, -40, 1, 50, -12, -80, 30, 102, 12, 1, 24, 149, 46, 8, -16, 12, 13, 64, 1, 32, 36, -28, 32, -3, 12, 112, 1, 50, -16, -100, 6, 32, 48, -56, 141, -12, 10, -12, -10, -2, 92, -56, 1, -3, 12, -96, 56, 30, -8, -88, 6, 8, 57, -68, 26, 128, 20, 8, 4, 143, 6, -3, 28, 46, -24, -33, 4, 32, -22, -28, -2, -74, -18, 8, 24, 100, 48, 12, 16, -8, -2, -16, -12, 2, -14, -16, 145, -122, 28, -152, 31, 0, 38, 30, 4, 76, -40, -8, 14, 12, 8, 52, 22, 32, 12, -40, 40, 32, -106, -72, 24, -2, -72, -160, 1, 211, -14, 52, -4, -10, 0, 0, 6, -78, 6, -256, -4, 32, 1, -16, -8, 98, -59, -164, -2, -10, -8, 14, 16, -80, 108, -52, 13, -32, -8, 24, 145, 66, -48, -10, 52, 246, 68, -40, 32, -108, -19, -80, -28, -34, 120, 112, 1, -72, 74, 4, -32, 118, -36, -32, 6, 10, -120, -68, -56, -56, 24, -54, 13, 145, 100, -96, 26, -26, 4, -56, -18, -176, 38, -144, -68, 28, -40, -88, 1, 36, 13, 20, 12, -80, -16, 40, -24, -86, -2, 38, 16, 14, -104, 88, -10, 128, 24, -7, 121, 34, -60, -232, 26, -8, 40, -132, -44, -274, -8, -8, 4, 114, 55, -376, -2, -80, 13, 1, 28, -320, -2, -100, -8, -2, -1, 96, 12, -238, -48, -16, -118, 4, -36, -88, -2, 145, 102, -268, 14, -68, 64, 16, 8, -158, 132, -10, -16, -170, -4, -352, 16, -188, -104, -260, 6, -208, 80, -224, 4, -88, 34, -220, 2, 30, 80, 8, 1, -176, 102, -256, -108, -50, 40, 4, 127, 114, -16, 0, 6, -218, -2, 24, -4, 10, 36, -264, 8, 12, 168, -72, 14, 16, -4, -220, 24, 6, -172, 64, 22, -1, 128, -2, -20, -160, 104, -64, -24, 82, 0, -168, 14, -8, 136, -8, -24, 141, -2, -100, -40, 44, 112, -56, 1, -110, 147, 24, 50, 64, 196, 4, -12, -30, 6, 40, -80, 366, -8, -64, 30, -240, 74, -332, 102, 4, 208, -232, 12, -224, 0, -1, 1, 142, 16, 256, 24, 100, 18, -48, 149, -148, 44, 232, 46, -48, 6, 68, 8, 30, 6, 40, -16, 40, 64, -212, 12, 240, 124, -24, 13, 36, 112, -436, 64, -66, 24, -38, 1, 8, 18, 0, 32, 336, 38, 40, 36, -246, -26, 44, -28, -36, 40, 32, 32, -23, 68, -84, -3, 76, 72, -88, 12, -112, -18, 4, 112, -34, -64, -120, 1, -140, 56, 52, 50, -90, 228, -34, -16, 16, -10, -184, -100, -42, 16, 72, 6, -48, 122, -172, 32, -148, 76, 57, 48, -70, 24, -108, -56, -96, 34, -88, 141, 18, 1, 120, -12, -60, -24, 216, 10, 212, 22, 204, -12, -48, -64, 120, -10, 2, 64, -2, -2, -176, 80, -232, 92, 170, 44, -156, -56, -2, -8, -64, 1, 56, 148, -80, -3, -178, 52, 112, 12, -110, -32, -340, -96, -48, 56, -6, 56, -99, -102, 8, 30, -26, -34, -232, -8, -128, 118, -16, -88, 14, 24, -280, 6, 146, -144, -156, 8, 208, -15, -200, 57, 48, 210, -32, -68, -210, 8, 168, 26, 354, -48, 116, 128, 6, -44, -24, 20, 6, 110, -160, 8, 96, -296, 24, 4, 50, 34, -424, 143, 118, -40, 2, 6, -384, -32, -132, -3, 124, 1, 328, 28, 436, -32, -540, 46, 60, 28, 248, -24, 26, -34, -24, -33, 86, -80, -26, 4, 432, 66, -10, 32, -74, -256, 112, -22, 0, -20, -320, -28, -80, -56, -144, -2, -8, 1, 40, -74, 210, 324, 280, -18, 21, -36, -4, 8, 78, -176, -8, 24, -208, 194, 116, 100, 56, 6, -232, 48, 228, 198, -28, 12, -68, 56, 64, 16, -112, 228, -32, -8, 174, -36, 64, -2, 58, 144, -66, -16, 38, -128, 136, -12, -126, -24, 136, 2, 166, 12, -32, -14, -88, -26, 2, -16, 176, 24, -64, 145, 356, -160, -204, -122, 176, -16, -30, 28, 52, -50, 24, -152, 62, 4, -16, 31, -222, 34, -232, 0, 16, 64, -232, 38, -14, 102, -292, 30, -176, 120, 72, 4, -36, -166, 70, 76, 22, -296, -232, -40, 432, -60, -196, -8, -162, -152, 376, 14, 1, -176, -176, 12, -144, 132, 120, 8, 167, 126, 88, 52, -470, 64, 69, 22, -32, 31, 256, 32, 86, -2, 78, 12, 58, -256, -212, -40, -8, -120, 48, 40, 52, 66, -12, 32, -64, -80, 104, -106, -86, -40, 60, -72, 30, 120, 56, 24, 18, 13, 180, -2, -208, -4, 72, -72, 32, -20, -532, -160, 24, 136, 88, 1, 240, 98, -224, 211, -10, -328, 96, -14, -60, 16, -36, 52, 78, -60, -240, -4, 32, 42, -160, -10, -36, 8, 136, 0, 32, -82, -176, 0, 122, -96, -376, 6, 178, 64, 1, -78, 0, 52, 40, 6, -198, 4, -40, -256, -210, -144, 80, -4, 144, -112, 92, 32, 76, -33, 184, 1, -54, -82, -64, -16, -224, 96, 138, -8, 33, 116, -228, 98, 236, 0, -232, -59, 4, 140, -52, -164, -28, 16, 120, -2, 162, -80, -152, -10, 182, 92, -280, -8, 52, 30, -224, 14, 80, -552, -240, 16, 144, 40, -56, -80, 326, -412, 96, 108], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 11, 'source_hecke_orbit': 31, 'source_is_minimal': True, 'source_label': '4522.2.a.be', 'source_level': 4522, 'target_char_orbit': 1, 'target_dim': 11, 'target_hecke_orbit': 31, 'target_is_minimal': True, 'target_label': '4522.2.a.be', 'target_level': 4522, 'twist_class_label': '4522.2.a.be', 'twist_class_level': 4522, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3623650
{'charpoly_factorization': [[[-1, 1], 11]], 'hecke_orbit_code': 135107988854673834, 'p': 2}
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id: 3623651
{'charpoly_factorization': [[[-256, -240, 776, 785, -650, -745, 127, 217, -7, -25, 0, 1], 1]], 'hecke_orbit_code': 135107988854673834, 'p': 3}
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id: 3623652
{'charpoly_factorization': [[[-1080, -1820, 1858, 3715, -579, -2040, -37, 419, 18, -35, -1, 1], 1]], 'hecke_orbit_code': 135107988854673834, 'p': 5}
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id: 3623653
{'charpoly_factorization': [[[1, 1], 11]], 'hecke_orbit_code': 135107988854673834, 'p': 7}
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id: 3623654
{'charpoly_factorization': [[[480, -3520, 1522, 18831, 10218, -6346, -2852, 1039, 187, -61, -3, 1], 1]], 'hecke_orbit_code': 135107988854673834, 'p': 11}
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id: 3623655
{'charpoly_factorization': [[[-128, 4336, -31256, 5000, 23174, -2263, -4769, 422, 343, -36, -8, 1], 1]], 'hecke_orbit_code': 135107988854673834, 'p': 13}
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id: 3623656
{'charpoly_factorization': [[[-1, 1], 11]], 'hecke_orbit_code': 135107988854673834, 'p': 17}
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id: 3623657
{'charpoly_factorization': [[[-1, 1], 11]], 'hecke_orbit_code': 135107988854673834, 'p': 19}
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id: 3623658
{'charpoly_factorization': [[[-1792, -12224, -788, 51030, -25557, -18180, 5934, 1998, -374, -84, 6, 1], 1]], 'hecke_orbit_code': 135107988854673834, 'p': 23}
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id: 3623659
{'charpoly_factorization': [[[297696, -1605220, 914524, 2028259, -130518, -258777, 2495, 11127, 25, -187, 0, 1], 1]], 'hecke_orbit_code': 135107988854673834, 'p': 29}
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id: 3623660
{'charpoly_factorization': [[[-4438528, 1013376, 4553072, -253884, -1028347, -82093, 60667, 6925, -1246, -162, 7, 1], 1]], 'hecke_orbit_code': 135107988854673834, 'p': 31}
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id: 3623661
{'charpoly_factorization': [[[-5473152, -1457440, 33575648, 14435072, -1027892, -962026, -7861, 23990, 432, -258, -3, 1], 1]], 'hecke_orbit_code': 135107988854673834, 'p': 37}
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id: 3623662
{'charpoly_factorization': [[[-5350080, 6602240, 1143072, -3154424, 501136, 230842, -55911, -3909, 1710, -40, -16, 1], 1]], 'hecke_orbit_code': 135107988854673834, 'p': 41}
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id: 3623663
{'charpoly_factorization': [[[-74473472, -14196736, 50162560, 5138128, -6344304, -533615, 248165, 22976, -2892, -281, 10, 1], 1]], 'hecke_orbit_code': 135107988854673834, 'p': 43}
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id: 3623664
{'charpoly_factorization': [[[14798464, 21222528, -154343, -6777146, 301911, 692495, -96036, -14317, 3015, -8, -22, 1], 1]], 'hecke_orbit_code': 135107988854673834, 'p': 47}
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id: 3623665
{'charpoly_factorization': [[[-995605792, -582011984, 842764568, -248225768, 12484792, 5236081, -724296, -16243, 7250, -206, -21, 1], 1]], 'hecke_orbit_code': 135107988854673834, 'p': 53}
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id: 3623666
{'charpoly_factorization': [[[-541334400, -575413760, -155914136, 21150268, 12616628, 100241, -344015, -5912, 4588, -31, -26, 1], 1]], 'hecke_orbit_code': 135107988854673834, 'p': 59}
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id: 3623667
{'charpoly_factorization': [[[119876656, -326505908, 234443052, -58908893, -986303, 2719154, -303835, -24055, 5442, -93, -23, 1], 1]], 'hecke_orbit_code': 135107988854673834, 'p': 61}
-
id: 3623668
{'charpoly_factorization': [[[132736, -2333376, -1010072, 3211368, 305148, -714683, -24543, 34293, -47, -361, 1, 1], 1]], 'hecke_orbit_code': 135107988854673834, 'p': 67}
-
id: 3623669
{'charpoly_factorization': [[[207271936, -179577600, -20967744, 29009608, 186208, -1574614, 15969, 36106, -237, -337, 0, 1], 1]], 'hecke_orbit_code': 135107988854673834, 'p': 71}
-
id: 3623670
{'charpoly_factorization': [[[41801280, 21640640, -21791012, -6438076, 4108263, 348416, -289389, 19183, 3107, -292, -9, 1], 1]], 'hecke_orbit_code': 135107988854673834, 'p': 73}
-
id: 3623671
{'charpoly_factorization': [[[-18486272, 1407048960, -507501408, -47660728, 33355940, -1027466, -689159, 46596, 5088, -420, -11, 1], 1]], 'hecke_orbit_code': 135107988854673834, 'p': 79}
-
id: 3623672
{'charpoly_factorization': [[[28397983616, 4043072576, -2748615944, -238446848, 101661436, 3510857, -1653456, 651, 11546, -256, -28, 1], 1]], 'hecke_orbit_code': 135107988854673834, 'p': 83}
-
id: 3623673
{'charpoly_factorization': [[[10980004, 84214364, -105483667, -28518324, 11623539, 1490381, -428638, -23149, 6293, 28, -32, 1], 1]], 'hecke_orbit_code': 135107988854673834, 'p': 89}
-
id: 3623674
{'charpoly_factorization': [[[-302198784, -329029376, 69871744, 106995200, -11805952, -7315360, 396832, 102984, -3482, -543, 9, 1], 1]], 'hecke_orbit_code': 135107988854673834, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 31, 'label': '4522.2.a.be', 'level': 4522, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 68518585
{'hecke_orbit_code': 135107988854673834, 'n': 1, 'trace_an': 11}
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id: 68518586
{'hecke_orbit_code': 135107988854673834, 'n': 2, 'trace_an': 11}
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id: 68518587
{'hecke_orbit_code': 135107988854673834, 'n': 3, 'trace_an': 0}
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id: 68518588
{'hecke_orbit_code': 135107988854673834, 'n': 4, 'trace_an': 11}
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id: 68518589
{'hecke_orbit_code': 135107988854673834, 'n': 5, 'trace_an': 1}
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id: 68518590
{'hecke_orbit_code': 135107988854673834, 'n': 6, 'trace_an': 0}
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id: 68518591
{'hecke_orbit_code': 135107988854673834, 'n': 7, 'trace_an': -11}
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id: 68518592
{'hecke_orbit_code': 135107988854673834, 'n': 8, 'trace_an': 11}
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id: 68518593
{'hecke_orbit_code': 135107988854673834, 'n': 9, 'trace_an': 17}
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id: 68518594
{'hecke_orbit_code': 135107988854673834, 'n': 10, 'trace_an': 1}
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id: 68518595
{'hecke_orbit_code': 135107988854673834, 'n': 11, 'trace_an': 3}
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id: 68518596
{'hecke_orbit_code': 135107988854673834, 'n': 12, 'trace_an': 0}
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id: 68518597
{'hecke_orbit_code': 135107988854673834, 'n': 13, 'trace_an': 8}
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id: 68518598
{'hecke_orbit_code': 135107988854673834, 'n': 14, 'trace_an': -11}
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id: 68518599
{'hecke_orbit_code': 135107988854673834, 'n': 15, 'trace_an': -2}
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id: 68518600
{'hecke_orbit_code': 135107988854673834, 'n': 16, 'trace_an': 11}
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id: 68518601
{'hecke_orbit_code': 135107988854673834, 'n': 17, 'trace_an': 11}
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id: 68518602
{'hecke_orbit_code': 135107988854673834, 'n': 18, 'trace_an': 17}
-
id: 68518603
{'hecke_orbit_code': 135107988854673834, 'n': 19, 'trace_an': 11}
-
id: 68518604
{'hecke_orbit_code': 135107988854673834, 'n': 20, 'trace_an': 1}
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id: 68518605
{'hecke_orbit_code': 135107988854673834, 'n': 21, 'trace_an': 0}
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