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mf_newforms • Show schema
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{'Nk2': 3276, 'analytic_conductor': 6.539747925542864, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 91, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 39, 'char_orbit_label': 'bm', 'char_order': 6, 'char_parity': 1, 'char_values': [819, 6, [92, 703, 379], [6, 2, 5]], 'cm_discs': [], 'conrey_index': 478, 'dim': 12, 'field_disc': 2346760387617129, 'field_disc_factorization': [[3, 6], [11, 2], [163109, 2]], 'field_poly': [64, -96, 16, 80, -60, -20, 45, -10, -15, 10, 1, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, 36, 0, 172, 0, 197, 0, 88, 0, 16, 0, 1]], [5, [121, -363, 275, 264, -343, -351, 801, -495, 81, 33, -8, -3, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22520609510523699, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 91, 11, 1, 6, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '819.2.bm.f', 'level': 819, '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': False, 'level_primes': [3, 7, 13], 'level_radical': 273, 'minimal_twist': '91.2.k.b', 'nf_label': '12.0.2346760387617129.1', 'prim_orbit_index': 11, 'qexp_display': 'q+\\beta _{9}q^{2}+(-1-\\beta _{2}-\\beta _{4}+\\beta _{5}+\\beta _{7}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '819.2.bm', 'trace_display': [0, 0, 3, -3], 'trace_hash': 39322104070933394, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.955', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '518.473', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '46866.124', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.173', 'prec': 17}, 'traces': [12, 0, 0, -8, 3, 0, -3, 0, 0, 12, -12, 0, -2, -4, 0, 16, 34, 0, 9, 3, 0, -15, 6, 0, -5, 6, 0, -9, 1, 0, 18, 0, 0, 0, 6, 0, 0, -19, 0, -1, 6, 0, 11, 33, 0, 0, 15, 0, -3, -18, 0, -7, 8, 0, -15, -27, 0, -24, 0, 0, 5, -41, 0, 2, -21, 0, 15, -22, 0, 3, -30, 0, 42, -66, 0, -45, 19, 0, -35, 63, 0, 5, 0, 0, -21, 57, 0, -14, 0, 0, -7, 66, 0, 1, 4, 0, -3, 18, 0, 24, -19, 0, -15, 50, 0, 33, -10, 0, -39, -30, 0, 30, 5, 0, 33, 21, 0, 80, -57, 0, -4, -9, 0, -42, 0, 0, -16, 0, 0, -1, 32, 0, -31, 42, 0, 0, 0, 0, -5, -22, 0, 55, 7, 0, 0, 34, 0, 0, -102, 0, -39, 1, 0, 12, 2, 0, -46, -48, 0, 14, 3, 0, 81, -174, 0, -20, 9, 0, 40, 56, 0, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -1, 0, -1, 1, 0, 1, -1, 0, 0, -1], [0, 1, 0, 0, 0, 0, 1, 0, -1, -1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 1, 1, 1, -1, 2, 0, 1, 0, 0, 1], [0, -1, -1, -1, -1, -1, 0, 1, 0, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 1, 0, 0, 1, 0, 1, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 2, -1, -1, -1, 2, -2, 0, 0, -1, 1, -1], [0, 1, 0, 0, 1, 1, -1, 1, 0, -1, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, -2, 1, 0, 0, 0, -1, -1, 2, 1], [2, 1, -1, -1, -1, 1, -2, 1, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, -1, 1, 0, -1, 0, 0, 0, 0, 1, 0], [-1, 2, -1, 0, -1, 1, 1, 0, -2, 1, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 0, -1, -3, 0, -1, 0, -1, -1, -1, 0], [0, 0, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, -2, -3, 0, 2, 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-2, 4, -4, -2, 0, 0, 4], [3, -11, 2, 8, 2, 1, -3, 1, 13, 5, -10, 2], [-5, 5, 4, -2, 4, -7, 1, -7, 1, -3, 6, 4], [-14, 2, 3, -1, -3, -2, 0, -5, 2, 0, -4, 5], [5, -4, -1, -2, -4, 1, -4, 3, 3, 0, 0, 2], [3, 9, -2, 1, -5, 2, 10, 2, -12, -1, 1, 0], [-6, 3, -3, -1, -9, -3, -4, 3, -7, 2, 2, 0], [-3, -1, -4, 0, -8, 3, -4, 1, -4, 2, -1, 1], [-12, 1, -5, -4, -11, 0, -1, 5, -9, 0, 0, -5], [8, -5, 11, -2, 17, -4, 9, -15, 9, 0, -2, 15], [8, -13, 0, -2, -1, -8, -5, 8, 2, 2, -1, 8], [-9, -2, 5, -1, 1, -1, 3, -6, 4, 0, -4, 6], [-6, -1, -3, -2, -13, -2, -12, 2, -13, 5, 0, 3], [2, 6, 0, 1, 14, 5, 1, -5, 0, -6, 0, 0], [-5, 8, -9, -12, 1, 5, 3, 4, 3, -12, 6, 4], [-2, 2, 2, 2, -2, 2, 3, -2, 3, 5, 0, -2], [-7, 9, 0, -8, 7, 0, 1, 0, -1, 4, -4, 0], [-4, -8, 3, -9, -6, 3, -6, 2, -3, 4, 4, -5], [-2, 7, 8, -11, 8, -4, 3, -4, -6, -4, 8, 8], [10, 4, -6, 3, -1, -6, -6, 11, -12, -1, -1, -5], [-20, 15, -9, -5, 4, 9, 3, 2, -12, -4, 4, -7], [-13, 1, -9, -12, -9, 4, 0, -4, 3, -7, 0, 9], [0, 4, 0, 3, -3, 0, 4, -3, -4, 11, -11, -3], [5, -5, 3, -4, 11, 2, -1, -2, 6, -2, 0, -3], [-9, -8, 3, -11, -12, 3, -9, 3, -6, 5, 5, -6], [-7, 6, -2, 3, -3, 2, 1, -6, -3, -5, 5, -8], [1, 6, -6, 7, -6, -7, 11, 7, -2, -10, 0, 6], [0, 5, 1, 7, -17, 0, 5, -1, -6, -2, 1, -1], [6, -12, 9, 13, 6, -9, 4, -6, 5, 6, -6, 3], [12, -3, 2, 0, 13, 2, 2, -1, 4, -5, -5, -1], [0, 6, -6, 3, 0, -3, 4, 3, -5, -11, 0, 6], [3, 15, 1, 10, 2, -3, 18, 2, -9, 10, -5, 2], [15, -3, 4, -1, 4, 0, 7, 0, -4, -3, 6, 4], [-13, 9, -5, -9, 6, 5, -2, 3, -3, -7, 7, -2], [-2, 11, -6, -11, -6, 6, -8, 6, -9, -6, 12, -6], [-3, 11, -5, -17, -1, 5, -5, 6, 0, -10, 10, 1], [2, -1, -2, 1, -2, 2, 9, 2, -10, 3, -6, -2], [16, -8, 10, 0, 10, -2, 4, -2, 6, -3, 6, 10], [19, -2, 10, 12, 18, -19, 17, 9, -2, 6, -3, 9], [9, -3, 6, -1, 8, 5, -2, -1, 5, 0, 2, 1], [-2, 0, -9, 4, -8, -4, 4, 5, -5, 0, 11, -5], [-17, 14, -5, -7, 5, 5, 0, -2, -5, -1, 1, -7], [8, 4, 1, 5, 18, -8, 12, 7, -4, -4, 2, 7], [6, -8, 3, 2, -3, -6, -2, 3, 1, 20, -10, 3], [-2, 2, -7, -10, 9, 2, 0, 5, 3, -4, 2, 5], [4, -13, -2, 6, -2, 2, -3, 6, 1, -1, 1, 4], [-5, 1, -5, 0, -5, 5, -4, 0, -1, 1, -1, -5], [6, -9, 1, 7, 3, 2, 7, 1, 8, 0, 10, -1], [3, -7, -2, 9, -8, 2, -1, -1, -1, 2, -2, -3], [-3, 3, -7, 4, -7, 0, -2, 0, -1, 3, -6, -7], [4, 2, 4, 0, -2, -4, 0, -6, 4, 2, -2, -2], [-11, -5, 8, -6, 2, 8, 4, -13, 12, -9, -9, 5], [0, 1, 6, -1, 6, -6, -4, -6, 9, -3, 6, 6], [-6, 3, 3, -12, 2, 3, -10, -8, -7, 3, 3, 5], [-15, 14, -17, -7, -14, 17, -5, 5, -12, -10, 10, -12], [-1, -1, -5, -8, 1, 1, -2, 4, 3, -12, 6, 4], [8, 5, 2, 5, 12, 2, 2, -4, 4, -6, -6, 2], [4, -13, 3, -7, -1, -3, -5, 3, 5, -1, 0, -3], [0, 8, -3, 3, 7, 2, 2, -2, -4, -1, 0, 3], [-1, 5, 1, 0, 1, -6, 2, -6, -1, 1, -2, 1], [1, -1, 1, -2, -5, 13, -12, 12, -1, 0, 0, -12], [1, -9, 3, 0, 15, -1, -8, -2, 3, 16, -8, -2], [2, 12, -6, -4, -6, -2, -1, -2, -9, -5, 10, -6], [-12, 8, -5, 1, 4, 5, 6, 2, -11, 2, -2, -3], [10, 1, 14, 6, 12, -14, 15, -6, -1, 2, -2, 8], [9, -6, -10, 15, -6, 1, 5, 11, 5, 0, 0, -11], [7, -16, 6, 12, 6, -2, 9, -2, 9, -6, 12, 6], [4, 1, 7, 6, 8, -4, 5, -3, 1, -4, 2, -3], [-2, -3, 3, 13, 4, -4, 7, -7, 16, 0, -19, 7], [-3, -10, -1, -2, 0, -5, 15, -4, -3, 0, -7, 4], [1, 0, 12, 13, -12, -1, 3, 1, 2, -5, 0, -12], [-19, 2, 2, -11, -10, 15, -3, -15, 10, -10, 0, -2], [-7, -5, 6, -12, 6, 6, 0, -13, 6, 6, 6, 7], [-13, 8, 4, 3, -17, 4, -13, 4, -9, 8, 8, -8], [-1, 3, 5, 8, -7, 0, -1, 0, -4, 2, 0, -5], [1, 2, -3, 0, 3, -1, 5, 1, 2, 1, 0, 3], [-15, 7, -9, -6, -9, 8, -3, 8, -12, -8, 16, -9], [10, -11, -5, -2, -3, -14, 0, 14, -3, 6, 0, 5], [-8, 9, -2, 0, -12, -2, -11, 4, -13, -9, -9, -2], [-3, 7, -10, -4, -13, 10, -3, 4, -7, -5, 5, -6], [-4, -2, -3, -11, 7, 6, -18, -6, -10, 3, 0, 3], [-9, 3, -7, -6, -16, 9, -6, -2, -1, -2, 1, -2], [-12, 0, 2, 5, -12, 2, 3, 0, 5, -7, -7, -2], [-6, -4, 7, 9, 9, -7, 1, -11, 6, 8, -8, -4], [0, -2, 9, -10, 5, 8, -6, -1, -1, 0, 5, 1], [8, 2, -3, 10, 10, -8, 10, 11, -13, 2, -1, 11], [-6, 2, 5, -9, 5, 2, -5, 2, 1, -7, 14, 5], [-11, 14, -8, -4, -8, -2, 14, -2, -26, 0, 0, -8], [18, 14, -7, 10, 13, -7, -2, 5, -9, -2, -2, 2], [-13, 13, -10, -13, -10, 10, -21, 10, -2, -9, 18, -10], [0, -7, 1, -10, 6, 0, -7, -1, 11, 22, -11, -1], [15, 7, 0, -14, 8, -1, -6, -1, -14, 0, 7, 1], [7, -9, 6, 4, 6, -1, -5, -1, 15, -3, 6, 6], [4, -8, 11, 1, 17, -8, 16, -19, 12, 0, -1, 19], [-5, 8, -11, -2, -1, -1, 14, 1, 5, -2, 0, 11], [-15, -3, 7, -8, -8, 7, -5, -7, 2, -3, -3, 0], [-16, -4, 0, -3, -34, -1, -6, 1, -3, 13, 0, 0], [15, -8, 13, 20, -16, -15, 7, 2, -7, 4, -2, 2], [2, -3, -9, -6, -5, 9, -3, 15, -6, 9, -9, 6], [14, 6, 2, -5, 7, 4, -10, 2, -3, 0, 3, -2], [-5, -10, 1, 0, 1, 1, 15, -6, 16, -9, -9, 5], [21, -23, 22, 16, 22, -15, 26, -15, 12, 0, 0, 22]], 'char_orbit_index': 39, 'field_poly': [64, -96, 16, 80, -60, -20, 45, -10, -15, 10, 1, -3, 1], 'hecke_orbit_code': 22520609510523699, 'hecke_ring_character_values': [[92, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [703, [-1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0]], [379, [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 224, 224, 224, 224, 112, 224, 28, 28, 112, 112], 'hecke_ring_inverse_denominators': [1, 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], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 1, 1, 0, 1, -1, 1, 0, 0, 0], [0, 0, 1, 1, 1, -1, 1, 0, 0, 1, 0, 1], [-1, -1, 1, 0, 0, 0, -1, -1, 0, 1, 1, -1], [0, -1, -1, -2, 0, 1, -1, 2, -2, 2, 1, 0], [-6, 3, -4, -2, -7, 4, -5, 1, -3, 0, 2, -4], [0, 1, -4, -1, 4, 6, 1, 1, 3, -1, -1, -1], [-6, 3, -2, 8, -4, 2, 0, 0, -1, -2, -4, 0], [4, -3, 0, 6, 21, -4, 7, -3, 6, -2, -6, 2], [1, -6, 7, 2, 2, -8, 3, 1, -16, 1, -9, 5], [-5, 9, -14, -13, -5, -15, 4, 1, -19, 0, -1, -2]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-800, 608, 344, -620, 42, 313, -164, -91, 72, -9, -13, 1], [256, -320, 40, 260, -154, -73, 132, -21, -32, 25, 5, -9], [288, -304, -88, 380, -140, -167, 166, 21, -78, 29, 17, -11], [544, -512, -160, 584, -126, -289, 200, 91, -96, 5, 29, -13], [-464, 216, 260, -340, 7, 194, -101, -42, 51, -9, -13, 8], [-1664, 1184, 720, -1452, 42, 821, -396, -231, 208, -5, -57, 13], [-88, 96, 16, -99, 35, 45, -41, -7, 18, -4, -5, 2], [-48, 102, 3, -82, 56, 43, -44, 0, 20, -6, -4, 3], [464, -664, -64, 634, -273, -271, 269, 21, -121, 30, 20, -15], [1056, -872, -500, 1062, -168, -547, 310, 133, -160, 13, 39, -17]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '819.2.bm.f', 'level': 819, 'maxp': 997, 'weight': 2}
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{'Nk2': 3276, 'analytic_conductor': 6.539747925542864, 'char_conductor': 91, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 39, 'char_orbit_label': 'bm', 'char_order': 6, 'char_parity': 1, 'char_values': [819, 6, [92, 703, 379], [6, 2, 5]], 'conrey_index': 478, 'cusp_dim': 208, 'dim': 90, 'eis_dim': 32, 'eis_new_dim': 8, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 2611373671219, 'hecke_orbit_dims': [2, 2, 2, 4, 12, 12, 20, 36], 'label': '819.2.bm', 'level': 819, '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': False, 'level_primes': [3, 7, 13], 'level_radical': 273, 'mf_dim': 240, 'mf_new_dim': 98, 'num_forms': 8, 'prim_orbit_index': 11, 'relative_dim': 45, 'sturm_bound': 224, 'trace_bound': 5, 'trace_display': [0, 0, 0, 1], 'traces': [90, 0, 0, -90, 0, 0, 1, 0, 0, 9, 9, 0, -8, 14, 0, 94, 14, 0, -12, 30, 0, 6, 14, 0, 35, 20, 0, 11, 4, 0, 9, 0, 0, 0, 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0, 0, -142, 0, -318, 183, 0, -26, -120, 0, 7, 80, 0, -115, 139, 0, -69, 0, 0, 0, 169, 0, 0, -85, 0, 42, -186, 0, -15, 24, 0, 0, -267, 0, -116, 150, 0, -192, 47, 0, 15, -146, 0, -93, 0, 0, -46, -136, 0, 20, 67, 0, 225, -36, 0, -146, -165, 0, -150, -192, 0, 300, -127, 0, 140, 33, 0, -48, 0, 0, 216, 39, 0, 33, 0, 0, 2, 82, 0, -69, 382, 0, -351, -165, 0, -23, 8, 0, 192, -183, 0, -6, -84, 0, 213, 24, 0, 213, 15, 0, 48, -58, 0, 240, 120, 0, -1, 246, 0, 27, 0, 0, -45, 0, 0, -96, 193, 0, -76, 72, 0, 0, 0, 0, -234, 3, 0, -122, 95, 0, 0, -4, 0, 0, 66, 0, 3, 205, 0, 208, 192, 0, 62, -36, 0, 47, 342, 0, -351, 150, 0, -186, -336, 0, 35, -29, 0, 1, 21, 0, 152, -150, 0, 112, -44, 0, -320, 34, 0, 0, -53, 0, 120, 129, 0, 0, -129, 0, -111, -170, 0, 35, -42, 0, 64, -291, 0, -105, -207, 0, -84, -126, 0, 59, -162, 0, -293, -42, 0, 0, -408, 0, -155, -35, 0, 49, 308, 0, 162, 142, 0, -15, 0, 0, 324, 223, 0, 12, 71, 0, -29, 0, 0, 10, 0, 0, 0, 129, 0, 29, -240, 0, 53, 69, 0, 78, -151, 0, 132, 321, 0, 228, 230, 0, 407, -37, 0, 45, -142, 0, 0, -42, 0, 15, -96, 0, 0, 314, 0, -10, 0, 0, -534, -93, 0, 211, 0, 0, -52, 294, 0, 154, 104, 0, 300, -150, 0, 186, 753, 0, -5, -84, 0, 30, 229, 0, 33, 71, 0, -252, 0, 0, 0, 170, 0, 0, -169, 0, -212, 51, 0, -228, -45, 0, 0, -231, 0, 17, 249, 0, 5, 52, 0, 71, -252, 0, 324, 0, 0, 19, -225, 0, -220, -107, 0, -180, 116, 0, -369, -105, 0, -21, -712, 0, 18, -224, 0, 55, 264, 0, -26, 0, 0, 138, 249, 0, 170, 0, 0, -73, -142, 0, 62, 300, 0, 3, -258, 0, 267, -153, 0, 158, -491, 0, 222, -78, 0, 216, 27, 0, 57, -133, 0, 432, -119, 0, 6, 219, 0, -152, 174, 0, 492, 0, 0, 101, 0, 0, -46, 65, 0, -69, 109, 0, 0, 0, 0, -158, 379, 0, 12, 246, 0, 0, -218, 0, 0, -144, 0, 3, 218, 0, -227, 112, 0, -2, 123, 0, 169, 402, 0, 69, 84, 0, -670, -213, 0, 44, -134, 0, 110, -29, 0, -265, -396, 0, 96, -83, 0, -44, -188, 0, 0, 87, 0, -45, 0, 0, 0, -83, 0, -114, -392, 0, 50, -225, 0, -46, -591, 0, -729, -48, 0, 88, -198, 0, -563, -260, 0, -8, 69, 0, 0, -213, 0, -159, -2, 0, -23, 136, 0, -66, 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'weight_parity': 1}
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id: 517502
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 39, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '819.2.bm.f', 'source_level': 819, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '91.2.k.b', 'target_level': 91, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 517503
{'conductor': 273, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 39, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '819.2.bm.f', 'source_level': 819, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '91.2.k.b', 'target_level': 91, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '273.bp', 'twisting_char_orbit': 42, 'weight': 2}
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id: 517504
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 39, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '819.2.bm.f', 'source_level': 819, 'target_char_orbit': 21, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '91.2.u.b', 'target_level': 91, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 517505
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 39, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '819.2.bm.f', 'source_level': 819, 'target_char_orbit': 21, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '91.2.u.b', 'target_level': 91, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 517506
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 39, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '819.2.bm.f', 'source_level': 819, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '637.2.k.i', 'target_level': 637, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 517507
{'conductor': 273, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 39, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '819.2.bm.f', 'source_level': 819, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '637.2.k.i', 'target_level': 637, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '273.br', 'twisting_char_orbit': 44, 'weight': 2}
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id: 517508
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 39, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '819.2.bm.f', 'source_level': 819, 'target_char_orbit': 17, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '637.2.q.g', 'target_level': 637, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 517509
{'conductor': 273, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 39, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '819.2.bm.f', 'source_level': 819, 'target_char_orbit': 17, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '637.2.q.g', 'target_level': 637, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '273.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 517510
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 39, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '819.2.bm.f', 'source_level': 819, 'target_char_orbit': 17, 'target_dim': 12, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '637.2.q.i', 'target_level': 637, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 517511
{'conductor': 273, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 39, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '819.2.bm.f', 'source_level': 819, 'target_char_orbit': 17, 'target_dim': 12, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '637.2.q.i', 'target_level': 637, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '273.y', 'twisting_char_orbit': 25, 'weight': 2}
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id: 517512
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 39, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '819.2.bm.f', 'source_level': 819, 'target_char_orbit': 21, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '637.2.u.g', 'target_level': 637, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 517513
{'conductor': 273, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 39, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '819.2.bm.f', 'source_level': 819, 'target_char_orbit': 21, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '637.2.u.g', 'target_level': 637, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '273.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 517514
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 39, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '819.2.bm.f', 'source_level': 819, 'target_char_orbit': 39, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '819.2.bm.f', 'target_level': 819, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 517515
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 39, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '819.2.bm.f', 'source_level': 819, 'target_char_orbit': 39, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '819.2.bm.f', 'target_level': 819, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '91.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 517516
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 39, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '819.2.bm.f', 'source_level': 819, 'target_char_orbit': 93, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '819.2.do.e', 'target_level': 819, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 517517
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 39, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '819.2.bm.f', 'source_level': 819, 'target_char_orbit': 93, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '819.2.do.e', 'target_level': 819, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 517518
{'conductor': 39, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 39, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '819.2.bm.f', 'source_level': 819, 'target_char_orbit': 5, 'target_dim': 24, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1183.2.e.j', 'target_level': 1183, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 517519
{'conductor': 273, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 39, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '819.2.bm.f', 'source_level': 819, 'target_char_orbit': 5, 'target_dim': 24, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1183.2.e.j', 'target_level': 1183, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '273.bw', 'twisting_char_orbit': 49, 'weight': 2}
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id: 517520
{'conductor': 273, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 39, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '819.2.bm.f', 'source_level': 819, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 67, 'target_is_minimal': False, 'target_label': '8281.2.a.co', 'target_level': 8281, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '273.bs', 'twisting_char_orbit': 45, 'weight': 2}
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id: 517521
{'conductor': 273, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 39, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '819.2.bm.f', 'source_level': 819, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 68, 'target_is_minimal': False, 'target_label': '8281.2.a.cp', 'target_level': 8281, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '273.bv', 'twisting_char_orbit': 48, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1369250
{'charpoly_factorization': [[[1, 0, 36, 0, 172, 0, 197, 0, 88, 0, 16, 0, 1], 1]], 'hecke_orbit_code': 22520609510523699, 'p': 2}
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id: 1369251
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 22520609510523699, 'p': 3}
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id: 1369252
{'charpoly_factorization': [[[121, -363, 275, 264, -343, -351, 801, -495, 81, 33, -8, -3, 1], 1]], 'hecke_orbit_code': 22520609510523699, 'p': 5}
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id: 1369253
{'charpoly_factorization': [[[117649, 50421, 14406, 5145, -1911, -1806, -475, -258, -39, 15, 6, 3, 1], 1]], 'hecke_orbit_code': 22520609510523699, 'p': 7}
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id: 1369254
{'charpoly_factorization': [[[85849, 83505, -20684, -46455, 9240, 29736, 13287, 1143, -604, -84, 41, 12, 1], 1]], 'hecke_orbit_code': 22520609510523699, 'p': 11}
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id: 1369255
{'charpoly_factorization': [[[4826809, 742586, -514098, -37349, 57629, -819, -6395, -63, 341, -17, -18, 2, 1], 1]], 'hecke_orbit_code': 22520609510523699, 'p': 13}
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id: 1369256
{'charpoly_factorization': [[[19, 146, 56, -198, 96, -17, 1], 2]], 'hecke_orbit_code': 22520609510523699, 'p': 17}
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id: 1369257
{'charpoly_factorization': [[[1, -48, 915, -7056, 25855, -39258, 27731, -6990, 22, 234, 1, -9, 1], 1]], 'hecke_orbit_code': 22520609510523699, 'p': 19}
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id: 1369258
{'charpoly_factorization': [[[793, -646, -185, 259, -50, -3, 1], 2]], 'hecke_orbit_code': 22520609510523699, 'p': 23}
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id: 1369259
{'charpoly_factorization': [[[16072081, -20205360, 19636658, -8770940, 3370218, -597669, 162746, -18504, 6148, -294, 87, -1, 1], 1]], 'hecke_orbit_code': 22520609510523699, 'p': 29}
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id: 1369260
{'charpoly_factorization': [[[241274089, -221904438, 60760488, 6685848, -4975196, -325530, 469517, -65880, -3446, 1116, 46, -18, 1], 1]], 'hecke_orbit_code': 22520609510523699, 'p': 31}
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id: 1369261
{'charpoly_factorization': [[[123201, 0, 371790, 0, 363609, 0, 123741, 0, 7164, 0, 147, 0, 1], 1]], 'hecke_orbit_code': 22520609510523699, 'p': 37}
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id: 1369262
{'charpoly_factorization': [[[389707081, 591933885, 198922270, -153073425, 9911704, 6405744, -349015, -188553, 21580, 1026, -159, -6, 1], 1]], 'hecke_orbit_code': 22520609510523699, 'p': 41}
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id: 1369263
{'charpoly_factorization': [[[418898089, -158496448, 88152595, -22738656, 9218116, -2107681, 554133, -78022, 12754, -1093, 170, -11, 1], 1]], 'hecke_orbit_code': 22520609510523699, 'p': 43}
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id: 1369264
{'charpoly_factorization': [[[121, -363, -77, 1320, 1083, -1035, -567, 543, 179, -255, 92, -15, 1], 1]], 'hecke_orbit_code': 22520609510523699, 'p': 47}
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id: 1369265
{'charpoly_factorization': [[[289, 4488, 59309, 175040, 479331, -266772, 137852, -25392, 5287, -504, 102, -8, 1], 1]], 'hecke_orbit_code': 22520609510523699, 'p': 53}
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id: 1369266
{'charpoly_factorization': [[[35582408689, 0, 14985781851, 0, 693359866, 0, 13023632, 0, 120841, 0, 553, 0, 1], 1]], 'hecke_orbit_code': 22520609510523699, 'p': 59}
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id: 1369267
{'charpoly_factorization': [[[3157729, -8574025, 21325925, -6565616, 3051325, -343235, 187245, -20375, 6295, -333, 100, -5, 1], 1]], 'hecke_orbit_code': 22520609510523699, 'p': 61}
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id: 1369268
{'charpoly_factorization': [[[5708255809, 3991238331, 441704945, -341579382, -11086297, 13240623, 357402, -351759, 15543, 2730, -107, -15, 1], 1]], 'hecke_orbit_code': 22520609510523699, 'p': 67}
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id: 1369269
{'charpoly_factorization': [[[639230089, 907078191, 408851926, -28665723, -35115036, 1753566, 2943903, 193635, -25312, -2190, 227, 30, 1], 1]], 'hecke_orbit_code': 22520609510523699, 'p': 71}
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id: 1369270
{'charpoly_factorization': [[[484396081, -1488776796, 1844455448, -981108576, 272029226, -39258450, 1956141, 180798, -13662, -3948, 682, -42, 1], 1]], 'hecke_orbit_code': 22520609510523699, 'p': 73}
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id: 1369271
{'charpoly_factorization': [[[65086724641, -9372380177, 6623723602, 1016625969, 321095857, 44623483, 9161565, 1236997, 156649, 13048, 881, 35, 1], 1]], 'hecke_orbit_code': 22520609510523699, 'p': 79}
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id: 1369272
{'charpoly_factorization': [[[402363481, 0, 194879694, 0, 33361345, 0, 2359793, 0, 59836, 0, 463, 0, 1], 1]], 'hecke_orbit_code': 22520609510523699, 'p': 83}
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id: 1369273
{'charpoly_factorization': [[[145033849, 0, 107270948, 0, 24138686, 0, 1621338, 0, 42861, 0, 430, 0, 1], 1]], 'hecke_orbit_code': 22520609510523699, 'p': 89}
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id: 1369274
{'charpoly_factorization': [[[1681, -8364, 8255, 27948, -34684, -122601, 291057, -159822, 33072, -537, -176, 3, 1], 1]], 'hecke_orbit_code': 22520609510523699, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 39, 'hecke_orbit': 6, 'label': '819.2.bm.f', 'level': 819, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 44980471
{'hecke_orbit_code': 22520609510523699, 'n': 1, 'trace_an': 12}
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id: 44980472
{'hecke_orbit_code': 22520609510523699, 'n': 2, 'trace_an': 0}
-
id: 44980473
{'hecke_orbit_code': 22520609510523699, 'n': 3, 'trace_an': 0}
-
id: 44980474
{'hecke_orbit_code': 22520609510523699, 'n': 4, 'trace_an': -8}
-
id: 44980475
{'hecke_orbit_code': 22520609510523699, 'n': 5, 'trace_an': 3}
-
id: 44980476
{'hecke_orbit_code': 22520609510523699, 'n': 6, 'trace_an': 0}
-
id: 44980477
{'hecke_orbit_code': 22520609510523699, 'n': 7, 'trace_an': -3}
-
id: 44980478
{'hecke_orbit_code': 22520609510523699, 'n': 8, 'trace_an': 0}
-
id: 44980479
{'hecke_orbit_code': 22520609510523699, 'n': 9, 'trace_an': 0}
-
id: 44980480
{'hecke_orbit_code': 22520609510523699, 'n': 10, 'trace_an': 12}
-
id: 44980481
{'hecke_orbit_code': 22520609510523699, 'n': 11, 'trace_an': -12}
-
id: 44980482
{'hecke_orbit_code': 22520609510523699, 'n': 12, 'trace_an': 0}
-
id: 44980483
{'hecke_orbit_code': 22520609510523699, 'n': 13, 'trace_an': -2}
-
id: 44980484
{'hecke_orbit_code': 22520609510523699, 'n': 14, 'trace_an': -4}
-
id: 44980485
{'hecke_orbit_code': 22520609510523699, 'n': 15, 'trace_an': 0}
-
id: 44980486
{'hecke_orbit_code': 22520609510523699, 'n': 16, 'trace_an': 16}
-
id: 44980487
{'hecke_orbit_code': 22520609510523699, 'n': 17, 'trace_an': 34}
-
id: 44980488
{'hecke_orbit_code': 22520609510523699, 'n': 18, 'trace_an': 0}
-
id: 44980489
{'hecke_orbit_code': 22520609510523699, 'n': 19, 'trace_an': 9}
-
id: 44980490
{'hecke_orbit_code': 22520609510523699, 'n': 20, 'trace_an': 3}
-
id: 44980491
{'hecke_orbit_code': 22520609510523699, 'n': 21, 'trace_an': 0}
-
id: 44980492
{'hecke_orbit_code': 22520609510523699, 'n': 22, 'trace_an': -15}
-
id: 44980493
{'hecke_orbit_code': 22520609510523699, 'n': 23, 'trace_an': 6}
-
id: 44980494
{'hecke_orbit_code': 22520609510523699, 'n': 24, 'trace_an': 0}
-
id: 44980495
{'hecke_orbit_code': 22520609510523699, 'n': 25, 'trace_an': -5}
-
id: 44980496
{'hecke_orbit_code': 22520609510523699, 'n': 26, 'trace_an': 6}
-
id: 44980497
{'hecke_orbit_code': 22520609510523699, 'n': 27, 'trace_an': 0}
-
id: 44980498
{'hecke_orbit_code': 22520609510523699, 'n': 28, 'trace_an': -9}
-
id: 44980499
{'hecke_orbit_code': 22520609510523699, 'n': 29, 'trace_an': 1}
-
id: 44980500
{'hecke_orbit_code': 22520609510523699, 'n': 30, 'trace_an': 0}
-
id: 44980501
{'hecke_orbit_code': 22520609510523699, 'n': 31, 'trace_an': 18}
-
id: 44980502
{'hecke_orbit_code': 22520609510523699, 'n': 32, 'trace_an': 0}
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id: 44980503
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id: 44980721
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id: 44980722
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id: 44980723
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id: 44980725
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id: 44980726
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id: 44980727
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id: 44980728
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