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mf_newforms • Show schema
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{'Nk2': 3584, 'analytic_conductor': 7.154596021106722, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 16, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': 1, 'char_values': [896, 4, [127, 645, 129], [4, 1, 4]], 'cm_discs': [], 'conrey_index': 225, 'conrey_indexes': [225, 673], 'dim': 12, 'field_disc': 20138089353117696, 'field_disc_factorization': [[2, 16], [3, 2], [184777, 2]], 'field_poly': [64, 0, -48, -16, 8, 8, 2, 4, 2, -2, -3, 0, 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': [[3, [64, 192, 288, 144, 164, 376, 552, 288, 76, 4, 8, 4, 1]], [11, [541696, 235520, 51200, -89088, 67968, -896, 512, -896, 740, -32, 0, 0, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022422431499136, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 512, 'hecke_ring_index_factorization': [[2, 9]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 16, 5, 1, 4, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '896.2.m.g', 'level': 896, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '112.2.m.d', 'nf_label': '12.0.20138089353117696.1', 'prim_orbit_index': 5, 'qexp_display': 'q+\\beta _{6}q^{3}+(-1-\\beta _{2}-\\beta _{3}-\\beta _{5})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '896.2.m', 'trace_display': [0, -4, -4, 0], 'trace_hash': 1796583341614788570, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.040', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0], [-1, 0, -1, -1, 0, -1, 0, 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, 0, 0, 0, 0, 0, 0], [0, 1, -1, -2, -1, 0, 0, 0, 0, 0, 0, 0], [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, 0], [0, 1, 0, 0, 0, 0, -1, 0, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0, -1, 0, 0, -1, 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, 0, 0, 0, 0], [0, 1, 0, -2, 0, 0, 0, 1, -1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 3, 0, 1, -1, -1, 1, -1, 0, 0], [0, 0, 0, 0, 0, 0, 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0, 1], [-2, -1, 2, -2, 0, 0, 0, 3, -1, 0, 3, 1], [-12, 0, 0, 0, 0, -1, -1, 0, -4, -4, 2, -6], [-6, 2, -2, -6, 0, 2, 0, 3, 0, 0, 3, -2], [-5, -2, 0, 5, 1, 0, -7, -2, 0, -2, 2, -2], [-7, 0, -1, 0, 1, 4, 4, 0, 0, 0, 2, -1], [0, 4, -4, 0, -4, 3, -3, 0, -3, 3, 0, 0], [3, 0, 0, -3, 2, 0, -1, 3, 0, 4, -3, 0], [-3, 3, -4, -3, 0, 8, 0, 1, -2, 0, 1, -3], [-12, 0, 2, 0, -2, 4, 4, 0, -2, -2, 3, -1], [-9, 0, -5, 0, 5, 0, 0, 0, 1, 1, -1, -2], [0, -2, 4, 8, 4, -2, 2, 2, 0, 0, 0, 0], [4, 3, 6, 4, 0, 6, 0, 1, -3, 0, 1, -3], [-1, 0, -3, 0, 3, -1, -1, 0, 1, 1, -1, 2], [0, 3, 2, 6, 2, 3, -3, -1, -3, 3, 0, 0], [1, 0, 0, -1, -7, 0, -5, 0, 0, -4, 0, 0], [0, 0, 4, 0, -4, 2, 2, 0, 1, 1, 2, 6], [-13, 0, 0, 13, 3, 0, 1, -1, 0, 1, 1, 0], [0, 0, 3, 0, -3, 1, 1, 0, 5, 5, -4, 4], [0, 1, -4, -2, -4, -8, 8, 1, -3, 3, 0, 0], [-7, -3, 0, -7, 0, -12, 0, 0, 1, 0, 0, 3], [5, 2, 0, -5, -2, 0, 4, 1, 0, 3, -1, 2], [0, 6, -4, -10, -4, 0, 0, 0, 0, 0, 0, 0], [-7, -2, 0, 7, 3, 0, 1, 0, 0, 0, 0, -2], [0, -2, -5, -18, -5, -5, 5, 0, 4, -4, 0, 0], [13, 0, -1, 13, 0, 3, 0, -1, 5, 0, -1, 0], [7, 1, 0, -7, -2, 0, 8, 1, 0, 4, -1, 1], [-2, -2, 0, 2, -6, 0, -8, -4, 0, -3, 4, -2], [5, -2, 0, -5, 2, 0, 2, 0, 0, 2, 0, -2], [0, 0, 0, 0, -3, 0, 5, 0, 0, -5, 0, 0], [0, 5, 0, 8, 0, 1, -1, 3, -1, 1, 0, 0], [0, -3, 2, 0, 0, 0, 0, -1, 5, 0, -1, 3], [0, 0, -3, 0, 3, 2, 2, 0, -5, -5, 2, -4], [4, 2, -7, 4, 0, -11, 0, 2, -1, 0, 2, -2], [-2, 0, 5, 0, -5, 8, 8, 0, 1, 1, 2, -2], [0, -6, 0, -8, 0, 0, 0, -2, 4, -4, 0, 0], [0, -2, 0, -1, 0, 7, -7, -3, 1, -1, 0, 0], [2, 0, 1, 0, -1, 2, 2, 0, 1, 1, 2, 4], [9, -5, 0, 9, 0, -2, 0, -3, 0, 0, -3, 5], [0, 1, 3, 1, 3, 12, -12, 0, -2, 2, 0, 0], [-13, -4, 8, -13, 0, -3, 0, 1, -2, 0, 1, 4], [0, 2, 0, -4, 0, 2, -2, 2, -4, 4, 0, 0], [-13, 0, -3, 0, 3, -4, -4, 0, -4, -4, 2, -7], [-7, 4, 0, 7, 3, 0, -1, 1, 0, 3, -1, 4], [0, -4, -2, -6, -2, -5, 5, -2, -4, 4, 0, 0], [0, -1, 0, 0, 6, 0, 0, 2, 0, 6, -2, -1], [2, -4, 0, -2, 2, 0, 8, 2, 0, -1, -2, -4], [-3, -1, 4, -3, 0, 1, 0, 1, -1, 0, 1, 1], [-6, 0, 4, 0, -4, 6, 6, 0, 0, 0, 2, -2], [-9, 0, -1, -9, 0, 1, 0, 0, -2, 0, 0, 0], [11, 0, 10, 11, 0, 8, 0, -1, -5, 0, -1, 0], [5, 0, 0, -5, -4, 0, 3, -3, 0, 4, 3, 0], [1, -1, 0, -1, 2, 0, 2, 1, 0, -2, -1, -1], [-7, -2, 2, -7, 0, -16, 0, 0, 4, 0, 0, 2], [6, 0, 0, 0, 0, 1, 1, 0, -2, -2, -4, -2], [0, -2, 1, -18, 1, -5, 5, 0, -3, 3, 0, 0], [8, 0, 0, -8, -9, 0, 1, 1, 0, -8, -1, 0], [3, 0, 0, -3, 6, 0, 2, 1, 0, -3, -1, 0], [0, 7, 2, 10, 2, 6, -6, -1, -3, 3, 0, 0], [10, 0, 0, 0, 0, -2, -2, 0, 0, 0, 1, -1], [0, 3, 2, 0, 0, -4, 0, 0, -6, 0, 0, -3], [0, -2, 0, -2, 0, 1, -1, 0, 3, -3, 0, 0], [3, 0, -4, 0, 4, 2, 2, 0, 6, 6, -5, 2], [-14, 2, 3, -14, 0, 1, 0, -1, -2, 0, -1, -2], [-23, 0, 0, 23, 3, 0, -1, 1, 0, 1, -1, 0], [-8, 3, 0, 8, 4, 0, 9, 0, 0, 7, 0, 3], [0, -1, 4, -6, 4, -1, 1, 7, -5, 5, 0, 0], [-4, -2, 4, -4, 0, 1, 0, -2, 4, 0, -2, 2], [8, 3, -4, 8, 0, 14, 0, -2, -2, 0, -2, -3], [0, -10, 8, 7, 8, 1, -1, -3, 4, -4, 0, 0], [-1, 2, -2, -1, 0, 12, 0, -3, -3, 0, -3, -2], [9, 0, 0, -9, -3, 0, 5, 4, 0, 2, -4, 0], [0, -4, -4, -14, -4, -9, 9, -2, 6, -6, 0, 0], [-1, 5, -2, -1, 0, 5, 0, -1, 1, 0, -1, -5], [0, -6, 5, 20, 5, 3, -3, -2, 4, -4, 0, 0], [2, 0, 6, 2, 0, -3, 0, -2, 0, 0, -2, 0], [-6, 0, -2, 0, 2, 2, 2, 0, 7, 7, -6, 4], [14, 2, 0, -14, -2, 0, 6, 1, 0, -4, -1, 2], [-10, 0, 1, 0, -1, -4, -4, 0, -3, -3, 0, 0], [2, -2, 0, -2, 8, 0, -10, -4, 0, -5, 4, -2], [0, 2, -3, 12, -3, 7, -7, -2, 1, -1, 0, 0], [15, 3, 0, 15, 0, -4, 0, 0, -5, 0, 0, -3], [-14, 0, -2, 0, 2, 4, 4, 0, -2, -2, 1, -9], [0, 4, -4, 13, -4, 3, -3, -3, 0, 0, 0, 0], [-3, 0, -3, 0, 3, -8, -8, 0, -3, -3, 1, 2], [0, -4, -4, 3, -4, -1, 1, -9, 9, -9, 0, 0], [12, -1, 0, -12, 2, 0, 3, 4, 0, 3, -4, -1], [8, 4, 0, -8, -10, 0, 4, 0, 0, -1, 0, 4], [0, 0, 6, 16, 6, -4, 4, 0, -2, 2, 0, 0], [0, -5, 2, 18, 2, -4, 4, -5, 5, -5, 0, 0], [0, 2, -3, 0, 0, 1, 0, 2, -7, 0, 2, -2], [-9, 0, -7, 0, 7, 1, 1, 0, 1, 1, -1, -2], [0, 4, 0, 6, 0, -5, 5, 6, -4, 4, 0, 0], [3, 0, -4, 0, 4, 7, 7, 0, -3, -3, -3, -6], [7, -6, 9, 7, 0, -1, 0, -2, 2, 0, -2, 6]], 'char_orbit_index': 13, 'field_poly': [64, 0, -48, -16, 8, 8, 2, 4, 2, -2, -3, 0, 1], 'hecke_orbit_code': 27022422431499136, 'hecke_ring_character_values': [[127, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [645, [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]], [129, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 128, 128, 128, 128, 64, 8, 128, 128, 128, 64, 64], 'hecke_ring_inverse_denominators': [1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -1, 0, -1, -1, -1, 0, 0, 0, 1, 0], [3, 0, 1, 0, -1, 1, 1, 0, 0, -2, 1, 0], [1, 2, 1, 2, -1, 1, -3, 0, -2, 0, 1, -2], [5, 2, 1, -8, -1, 3, -1, 2, 0, 2, 1, 2], [-3, 2, -5, 6, 5, 1, -7, 0, 0, -2, 1, -2], [11, 6, -3, 2, -9, 3, 3, 0, 4, 2, -1, 2], [-15, -2, -1, -2, -3, 9, -7, 4, 0, -6, 1, -6], [-9, 18, -3, -6, -1, 15, 7, 4, -12, 2, -1, -2], [-23, 6, 11, 30, 17, 17, -23, 4, 12, 14, -7, 2], [19, 10, -35, -50, 7, -1, 15, 16, 4, 10, -21, -2], [-111, -2, -29, 110, 1, 17, -7, -4, 12, 6, -7, 10]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-608, -144, 240, 192, 36, 34, 16, -54, -20, 1, 14, 1], [-416, -176, 208, 192, 44, -26, -16, -34, -28, 3, 10, 3], [32, 48, 112, 64, -12, -22, -16, -14, -4, 5, 6, 5], [416, 304, -80, -256, -108, 10, -16, 18, 44, 21, -10, -11], [352, 80, -176, -176, -36, 6, 16, 38, 28, 3, -14, -5], [48, 40, -8, -26, -14, -4, 0, 3, 5, 2, -1, -1], [-480, 176, 752, 448, 84, -118, -112, -78, -52, 21, 54, 21], [544, 624, -144, -448, -220, -14, 48, 58, 60, 41, -18, -23], [1312, 880, -528, -576, -252, -78, 16, 90, 108, 41, -34, -23], [800, 720, -176, -416, -180, -34, 0, 54, 76, 31, -22, -17], [-736, -560, 240, 352, 220, 38, -16, -66, -68, -29, 18, 19]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '896.2.m.g', 'level': 896, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3584, 'analytic_conductor': 7.154596021106722, 'char_conductor': 16, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': 1, 'char_values': [896, 4, [127, 645, 129], [4, 1, 4]], 'conrey_index': 225, 'cusp_dim': 224, 'dim': 48, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11], 'hecke_orbit_code': 824667276160, 'hecke_orbit_dims': [2, 2, 2, 2, 8, 8, 12, 12], 'label': '896.2.m', 'level': 896, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 288, 'mf_new_dim': 48, 'num_forms': 8, 'prim_orbit_index': 5, 'relative_dim': 24, 'sturm_bound': 256, 'trace_bound': 15, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -32, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -48, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 32, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -64, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -64, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 160, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 16, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -160, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -160, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -128, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 320, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 80, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -320, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -288, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 112, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 96, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, -128, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 32, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -384, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 320, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 224, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 368, 0, 0, 0, -160, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 128, 0, 0, 0, 448, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -384, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -128, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, -464, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 304, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, -384, 0, 0, 0, 32, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 559821
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '896.2.m.g', 'source_level': 896, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '112.2.m.d', 'target_level': 112, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 559822
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '896.2.m.g', 'source_level': 896, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '112.2.m.d', 'target_level': 112, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 559823
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '896.2.m.g', 'source_level': 896, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '448.2.m.d', 'target_level': 448, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 559824
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '896.2.m.g', 'source_level': 896, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '448.2.m.d', 'target_level': 448, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 559825
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '896.2.m.g', 'source_level': 896, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '784.2.m.h', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 559826
{'conductor': 112, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '896.2.m.g', 'source_level': 896, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '784.2.m.h', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '112.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 559827
{'conductor': 56, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '896.2.m.g', 'source_level': 896, 'target_char_orbit': 24, 'target_dim': 24, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '784.2.x.l', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 559828
{'conductor': 112, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '896.2.m.g', 'source_level': 896, 'target_char_orbit': 24, 'target_dim': 24, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '784.2.x.l', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '112.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 559829
{'conductor': 56, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '896.2.m.g', 'source_level': 896, 'target_char_orbit': 24, 'target_dim': 24, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '784.2.x.m', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '56.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 559830
{'conductor': 112, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '896.2.m.g', 'source_level': 896, 'target_char_orbit': 24, 'target_dim': 24, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '784.2.x.m', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '112.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 559831
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '896.2.m.g', 'source_level': 896, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '896.2.m.g', 'target_level': 896, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 559832
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '896.2.m.g', 'source_level': 896, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '896.2.m.g', 'target_level': 896, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 559833
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '896.2.m.g', 'source_level': 896, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '896.2.m.h', 'target_level': 896, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 559834
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '896.2.m.g', 'source_level': 896, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '896.2.m.h', 'target_level': 896, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 559835
{'conductor': 32, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '896.2.m.g', 'source_level': 896, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '7168.2.a.bi', 'target_level': 7168, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '32.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 559836
{'conductor': 32, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '896.2.m.g', 'source_level': 896, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '7168.2.a.bj', 'target_level': 7168, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '32.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1462500
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 27022422431499136, 'p': 2}
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id: 1462501
{'charpoly_factorization': [[[64, 192, 288, 144, 164, 376, 552, 288, 76, 4, 8, 4, 1], 1]], 'hecke_orbit_code': 27022422431499136, 'p': 3}
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id: 1462502
{'charpoly_factorization': [[[2304, -4608, 4608, 3072, 1828, -1288, 968, 504, 140, -12, 8, 4, 1], 1]], 'hecke_orbit_code': 27022422431499136, 'p': 5}
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id: 1462503
{'charpoly_factorization': [[[1, 0, 1], 6]], 'hecke_orbit_code': 27022422431499136, 'p': 7}
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id: 1462504
{'charpoly_factorization': [[[541696, 235520, 51200, -89088, 67968, -896, 512, -896, 740, -32, 0, 0, 1], 1]], 'hecke_orbit_code': 27022422431499136, 'p': 11}
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id: 1462505
{'charpoly_factorization': [[[3211264, -458752, 32768, 216576, 297732, 28456, 200, -1376, 1724, -20, 0, 0, 1], 1]], 'hecke_orbit_code': 27022422431499136, 'p': 13}
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id: 1462506
{'charpoly_factorization': [[[-96, 288, 40, -200, -44, 4, 1], 2]], 'hecke_orbit_code': 27022422431499136, 'p': 17}
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id: 1462507
{'charpoly_factorization': [[[2849344, -1417920, 352800, 565552, 466212, -9016, 2888, 4024, 2444, 76, 0, 0, 1], 1]], 'hecke_orbit_code': 27022422431499136, 'p': 19}
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id: 1462508
{'charpoly_factorization': [[[10137856, 0, 9219456, 0, 2044688, 0, 175744, 0, 7096, 0, 136, 0, 1], 1]], 'hecke_orbit_code': 27022422431499136, 'p': 23}
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id: 1462509
{'charpoly_factorization': [[[8620096, 610688, 21632, -13888, 995888, 68544, 2368, -928, 3084, 216, 8, -4, 1], 1]], 'hecke_orbit_code': 27022422431499136, 'p': 29}
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id: 1462510
{'charpoly_factorization': [[[64, 96, -24, -72, -16, 4, 1], 2]], 'hecke_orbit_code': 27022422431499136, 'p': 31}
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id: 1462511
{'charpoly_factorization': [[[5053504, 1834368, 332928, -2835776, 2719280, -1060672, 231488, -24992, 3532, -936, 200, -20, 1], 1]], 'hecke_orbit_code': 27022422431499136, 'p': 37}
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id: 1462512
{'charpoly_factorization': [[[25600, 0, 392704, 0, 345920, 0, 68544, 0, 4704, 0, 120, 0, 1], 1]], 'hecke_orbit_code': 27022422431499136, 'p': 41}
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id: 1462513
{'charpoly_factorization': [[[23040000, 56217600, 68585472, 49373184, 22906624, 6805376, 1318400, 158208, 11780, 768, 128, 16, 1], 1]], 'hecke_orbit_code': 27022422431499136, 'p': 43}
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id: 1462514
{'charpoly_factorization': [[[19776, -8928, -1208, 1032, -104, -8, 1], 2]], 'hecke_orbit_code': 27022422431499136, 'p': 47}
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id: 1462515
{'charpoly_factorization': [[[78400, 1518720, 14709888, -25960896, 22600496, -2979008, 115008, 59808, 19372, -248, 8, 4, 1], 1]], 'hecke_orbit_code': 27022422431499136, 'p': 53}
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id: 1462516
{'charpoly_factorization': [[[119596096, 122045760, 62272800, 4793520, -899932, -218536, 341640, -36840, 1996, -124, 128, -16, 1], 1]], 'hecke_orbit_code': 27022422431499136, 'p': 59}
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id: 1462517
{'charpoly_factorization': [[[256, -47872, 4476032, 1728352, 339748, -568008, 269832, -34632, 2188, -172, 200, -20, 1], 1]], 'hecke_orbit_code': 27022422431499136, 'p': 61}
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id: 1462518
{'charpoly_factorization': [[[3686400, -5898240, 4718592, -1548288, 150016, 66560, 26624, -9344, 1124, 1072, 288, 24, 1], 1]], 'hecke_orbit_code': 27022422431499136, 'p': 67}
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id: 1462519
{'charpoly_factorization': [[[6553600, 0, 18743296, 0, 15382784, 0, 2931456, 0, 60960, 0, 432, 0, 1], 1]], 'hecke_orbit_code': 27022422431499136, 'p': 71}
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id: 1462520
{'charpoly_factorization': [[[3050573824, 0, 6278768640, 0, 473632512, 0, 12430080, 0, 134384, 0, 616, 0, 1], 1]], 'hecke_orbit_code': 27022422431499136, 'p': 73}
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id: 1462521
{'charpoly_factorization': [[[-2240, -3392, -112, 576, -44, -12, 1], 2]], 'hecke_orbit_code': 27022422431499136, 'p': 79}
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id: 1462522
{'charpoly_factorization': [[[320093429824, -132738225088, 27522333728, -2610661520, 208394468, -33954632, 6808488, -656608, 34732, -1116, 200, -20, 1], 1]], 'hecke_orbit_code': 27022422431499136, 'p': 83}
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id: 1462523
{'charpoly_factorization': [[[35476475904, 0, 6091352064, 0, 338121472, 0, 8448256, 0, 101680, 0, 552, 0, 1], 1]], 'hecke_orbit_code': 27022422431499136, 'p': 89}
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id: 1462524
{'charpoly_factorization': [[[-39008, -11104, 8168, 2568, -60, -24, 1], 2]], 'hecke_orbit_code': 27022422431499136, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 13, 'hecke_orbit': 7, 'label': '896.2.m.g', 'level': 896, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 184506000
{'hecke_orbit_code': 27022422431499136, 'n': 1, 'trace_an': 12}
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id: 184506001
{'hecke_orbit_code': 27022422431499136, 'n': 2, 'trace_an': 0}
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id: 184506002
{'hecke_orbit_code': 27022422431499136, 'n': 3, 'trace_an': -4}
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id: 184506003
{'hecke_orbit_code': 27022422431499136, 'n': 4, 'trace_an': 0}
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id: 184506004
{'hecke_orbit_code': 27022422431499136, 'n': 5, 'trace_an': -4}
-
id: 184506005
{'hecke_orbit_code': 27022422431499136, 'n': 6, 'trace_an': 0}
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id: 184506006
{'hecke_orbit_code': 27022422431499136, 'n': 7, 'trace_an': 0}
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id: 184506007
{'hecke_orbit_code': 27022422431499136, 'n': 8, 'trace_an': 0}
-
id: 184506008
{'hecke_orbit_code': 27022422431499136, 'n': 9, 'trace_an': 0}
-
id: 184506009
{'hecke_orbit_code': 27022422431499136, 'n': 10, 'trace_an': 0}
-
id: 184506010
{'hecke_orbit_code': 27022422431499136, 'n': 11, 'trace_an': 0}
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id: 184506011
{'hecke_orbit_code': 27022422431499136, 'n': 12, 'trace_an': 0}
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id: 184506012
{'hecke_orbit_code': 27022422431499136, 'n': 13, 'trace_an': 0}
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id: 184506013
{'hecke_orbit_code': 27022422431499136, 'n': 14, 'trace_an': 0}
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id: 184506014
{'hecke_orbit_code': 27022422431499136, 'n': 15, 'trace_an': -24}
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id: 184506015
{'hecke_orbit_code': 27022422431499136, 'n': 16, 'trace_an': 0}
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id: 184506016
{'hecke_orbit_code': 27022422431499136, 'n': 17, 'trace_an': -8}
-
id: 184506017
{'hecke_orbit_code': 27022422431499136, 'n': 18, 'trace_an': 0}
-
id: 184506018
{'hecke_orbit_code': 27022422431499136, 'n': 19, 'trace_an': 0}
-
id: 184506019
{'hecke_orbit_code': 27022422431499136, 'n': 20, 'trace_an': 0}
-
id: 184506020
{'hecke_orbit_code': 27022422431499136, 'n': 21, 'trace_an': -4}
-
id: 184506021
{'hecke_orbit_code': 27022422431499136, 'n': 22, 'trace_an': 0}
-
id: 184506022
{'hecke_orbit_code': 27022422431499136, 'n': 23, 'trace_an': 0}
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id: 184506023
{'hecke_orbit_code': 27022422431499136, 'n': 24, 'trace_an': 0}
-
id: 184506024
{'hecke_orbit_code': 27022422431499136, 'n': 25, 'trace_an': 0}
-
id: 184506025
{'hecke_orbit_code': 27022422431499136, 'n': 26, 'trace_an': 0}
-
id: 184506026
{'hecke_orbit_code': 27022422431499136, 'n': 27, 'trace_an': -4}
-
id: 184506027
{'hecke_orbit_code': 27022422431499136, 'n': 28, 'trace_an': 0}
-
id: 184506028
{'hecke_orbit_code': 27022422431499136, 'n': 29, 'trace_an': 4}
-
id: 184506029
{'hecke_orbit_code': 27022422431499136, 'n': 30, 'trace_an': 0}
-
id: 184506030
{'hecke_orbit_code': 27022422431499136, 'n': 31, 'trace_an': -8}
-
id: 184506031
{'hecke_orbit_code': 27022422431499136, 'n': 32, 'trace_an': 0}
-
id: 184506032
{'hecke_orbit_code': 27022422431499136, 'n': 33, 'trace_an': 0}
-
id: 184506033
{'hecke_orbit_code': 27022422431499136, 'n': 34, 'trace_an': 0}
-
id: 184506034
{'hecke_orbit_code': 27022422431499136, 'n': 35, 'trace_an': 4}
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id: 184506035
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