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mf_newforms • Show schema
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{'Nk2': 10816, 'analytic_conductor': 21.591548706554217, 'analytic_rank': 1, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [2704, 2, [2367, 677, 1185], [2, 2, 1]], 'cm_discs': [], 'conrey_index': 337, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [0, 1]], [5, [1, 0, 1]], [11, [16, 0, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021941395163792, '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, 13, 2, 1, 2, 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': '2704.2.f.g', 'level': 2704, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 13], 'level_radical': 26, 'minimal_twist': '26.2.c.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+i q^{5}-4 i q^{7}-3 q^{9}-4 i q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2704.2.f', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1315290943965175555, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.906', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.875', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 0], [0, 0], [0, 1], [0, 0], [0, -4], [0, 0], [-3, 0], [0, 0], [0, -4], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-3, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-4, 0], [0, 0], [4, 0], [0, 0], [0, 0], [0, 0], [-1, 0], [0, 0], [0, 4], [0, 0], [0, 0], [0, 0], [4, 0], [0, 0], [0, 3], [0, 0], [0, 0], [0, 0], [0, 9], [0, 0], [-8, 0], [0, 0], [0, -3], [0, 0], [0, 8], [0, 0], [-9, 0], [0, 0], [0, 0], [0, 0], [-9, 0], [0, 0], [4, 0], [0, 0], [0, 0], [0, 0], [0, 4], [0, 0], [7, 0], [0, 0], [0, 12], [0, 0], [0, 0], [0, 0], [0, 4], [0, 0], [0, 0], [0, 0], [0, -8], [0, 0], [0, 11], [0, 0], [0, 0], [0, 0], [-16, 0], [0, 0], [4, 0], [0, 0], [9, 0], [0, 0], [0, 0], [0, 0], [0, -3], [0, 0], [0, 0], [0, 0], [0, -6], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -2], [0, 0], [0, 12], [0, 0]], 'ap': [[0, 0], [0, 0], [0, 1], [0, -4], [0, -4], [0, 0], [-3, 0], [0, 0], [-4, 0], [-1, 0], [0, 4], [0, 3], [0, 9], [-8, 0], [0, 8], [-9, 0], [0, 4], [7, 0], [0, 4], [0, -8], [0, 11], [4, 0], [0, 0], [0, -6], [0, -2], [-7, 0], [-8, 0], [4, 0], [0, 2], [-1, 0], [-8, 0], [-20, 0], [0, -9], [-16, 0], [0, -15], [0, -12], [11, 0], [0, -8], [0, -12], [-14, 0], [-24, 0], [21, 0], [20, 0], [0, 11], [0, -6], [-4, 0], [-20, 0], [0, 12], [0, 24], [0, 6], [-10, 0], [0, -12], [0, 3], [-12, 0], [-15, 0], [24, 0], [-18, 0], [0, 20], [9, 0], [0, -5], [28, 0], [0, -5], [0, 28], [-24, 0], [-22, 0], [0, -3], [0, 8], [-23, 0], [-12, 0], [0, -2], [0, -7], [0, -24], [28, 0], [-13, 0], [0, -8], [0, 0], [9, 0], [0, 14], [0, 3], [0, -31], [-12, 0], [0, 5], [0, -24], [5, 0], [8, 0], [-24, 0], [0, 34], [0, -31], [0, 33], [0, -16], [20, 0], [0, 0], [0, -16], [-8, 0], [0, -32], [-16, 0], [0, -43], [39, 0], [-36, 0], [0, -25], [-16, 0], [0, 39], [-4, 0], [-10, 0], [12, 0], [0, -39], [0, -16], [0, -1], [44, 0], [19, 0], [0, 0], [0, -11], [0, 29], [0, -4], [0, 8], [-19, 0], [0, 44], [28, 0], [-18, 0], [-48, 0], [0, -49], [29, 0], [6, 0], [0, 44], [0, -20], [-30, 0], [0, -13], [-28, 0], [28, 0], [0, 1], [0, 24], [0, -8], [24, 0], [6, 0], [0, 42], [0, 30], [0, -38], [0, 4], [-30, 0], [39, 0], [0, -28], [0, -38], [12, 0], [0, 12], [-7, 0], [0, 40], [0, 7], [17, 0], [-20, 0], [0, 52], [0, -15], [9, 0], [16, 0], [20, 0], [-24, 0], [12, 0], [48, 0], [0, 21], [-21, 0], [0, -46], [0, -24], [22, 0], [0, -40], [0, 0], [0, 45], [0, 52], [24, 0], [-25, 0], [0, 2], [1, 0], [0, 12], [0, -33], [-20, 0], [0, -19], [-24, 0], [-5, 0], [0, -20], [0, 19], [-44, 0], [-34, 0], [0, -24], [-56, 0], [-5, 0], [0, 22], [0, -4], [-31, 0], [2, 0], [0, 60], [0, -25], [0, -24], [7, 0], [0, -36], [32, 0], [0, -34], [-44, 0], [-42, 0], [0, -47], [-43, 0], [0, -49], [8, 0], [0, -9], [-44, 0], [0, 13], [-17, 0], [0, 44], [63, 0], [0, -8], [-36, 0], [0, -27], [-60, 0], [-59, 0], [-42, 0], [-20, 0], [0, 56], [0, 24], [0, 55], [-40, 0], [59, 0], [0, -32], [0, 30], [31, 0], [0, 28], [0, -3], [0, -20], [-72, 0], [61, 0], [-13, 0], [-12, 0], [28, 0], [0, 60], [17, 0], [56, 0], [0, 48], [-19, 0], [28, 0], [0, 32], [0, -14], [0, -53], [48, 0], [16, 0], [0, 60], [-20, 0], [-24, 0], [0, 25], [0, -23], [-36, 0], [0, 40], [0, -28], [0, -16], [-36, 0], [0, 62], [0, -50], [0, 44], [37, 0], [46, 0], [0, -64], [54, 0], [0, -28], [42, 0], [0, -7], [-44, 0], [36, 0], [0, 73], [-65, 0], [0, 3], [56, 0], [0, 50], [0, -35], [0, -48], [9, 0], [-55, 0], [0, -44], [0, -21], [-76, 0], [2, 0], [0, 36], [0, 8], [0, -9], [0, 43], [0, 0], [-56, 0], [0, -60], [-56, 0], [0, -47], [0, -48], [52, 0], [-37, 0], [0, -23], [0, 4], [-23, 0], [-66, 0], [4, 0], [0, -3], [0, 40], [-50, 0], [-39, 0], [36, 0], [-47, 0], [20, 0], [0, 16], [49, 0], [0, -25], [60, 0]], 'char_orbit_index': 6, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 27021941395163792, 'hecke_ring_character_values': [[2367, [1, 0]], [677, [1, 0]], [1185, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '2704.2.f.g', 'level': 2704, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 10816, 'analytic_conductor': 21.591548706554217, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [2704, 2, [2367, 677, 1185], [2, 2, 1]], 'conrey_index': 337, 'cusp_dim': 322, 'dim': 72, 'eis_dim': 84, 'eis_new_dim': 10, 'hecke_cutter_primes': [3, 5, 11], 'hecke_orbit_code': 343630940816, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 6, 6, 6, 8, 12], 'label': '2704.2.f', 'level': 2704, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 13], 'level_radical': 26, 'mf_dim': 406, 'mf_new_dim': 82, 'num_forms': 18, 'prim_orbit_index': 2, 'relative_dim': 72, 'sturm_bound': 728, 'trace_bound': 23, 'trace_display': [0, -4, 0, 0], 'traces': [72, 0, -4, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -48, 0, 8, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -24, 0, -20, 0, -20, 0, 24, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 32, 0, -20, 0, 4, 0, 56, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, -24, 0, 32, 0, -68, 0, -28, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -52, 0, 8, 0, -32, 0, -20, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 116, 0, 0, 0, 0, 0, 16, 0, -104, 0, 32, 0, 52, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 112, 0, -20, 0, -28, 0, -32, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, -32, 0, 84, 0, 0, 0, -36, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -188, 0, 44, 0, 28, 0, 56, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 44, 0, -100, 0, -56, 0, 84, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 68, 0, 4, 0, 84, 0, 44, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 8, 0, 36, 0, -84, 0, 36, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -144, 0, -48, 0, 8, 0, -92, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, 172, 0, 0, 0, 0, 0, 12, 0, -116, 0, 60, 0, 32, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 64, 0, 140, 0, 16, 0, -96, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 152, 0, 64, 0, 100, 0, -88, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -60, 0, 128, 0, 60, 0, 88, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -16, 0, -16, 0, -120, 0, 64, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 168, 0, -16, 0, 76, 0, 60, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -52, 0, 104, 0, -20, 0, -440, 0, 0, 0, 0, 0, -68, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 260, 0, -44, 0, -28, 0, -252, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -36, 0, 296, 0, 92, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -40, 0, -40, 0, 40, 0, -136, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, -376, 0, 0, 0, 0, 0, 16, 0, -24, 0, 84, 0, -24, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -136, 0, 4, 0, -260, 0, 140, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -40, 0, -152, 0, 120, 0, 152, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 12, 0, -208, 0, -356, 0, 144, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 0, 0, 0, -120, 0, 68, 0, -140, 0, 148, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -8, 0, -64, 0, -52, 0, 52, 0, 0, 0, 0, 0, -252, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, -36, 0, 80, 0, 104, 0, 160, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, 0, 0, -248, 0, 0, 0, 0, 0, 224, 0, 292, 0, -24, 0, -208, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 104, 0, 452, 0, 76, 0, 12, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -216, 0, 68, 0, 76, 0, 216, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 0, 0, 0, 52, 0, -136, 0, -260, 0, -176, 0, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 224, 0, -8, 0, 152, 0, 188, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, -48, 0, -124, 0, -160, 0, -56, 0, 0, 0, 0, 0, -188, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -264, 0, 32, 0, 52, 0, -76, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -16, 0, -332, 0, -12, 0, -284, 0, 0, 0, 0, 0, -72, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 988812
{'conductor': 52, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '26.2.c.a', 'target_level': 26, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 988813
{'conductor': 13, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '208.2.i.b', 'target_level': 208, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 988814
{'conductor': 156, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '234.2.h.c', 'target_level': 234, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '156.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 988815
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '338.2.a.c', 'target_level': 338, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 988816
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '338.2.a.e', 'target_level': 338, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 988817
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '338.2.b.b', 'target_level': 338, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 988818
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '338.2.b.b', 'target_level': 338, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 988819
{'conductor': 52, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '338.2.c.e', 'target_level': 338, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 988820
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '338.2.e.b', 'target_level': 338, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 988821
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '338.2.e.b', 'target_level': 338, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 988822
{'conductor': 260, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '650.2.e.c', 'target_level': 650, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '260.bc', 'twisting_char_orbit': 29, 'weight': 2}
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id: 988823
{'conductor': 260, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '650.2.o.c', 'target_level': 650, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '260.be', 'twisting_char_orbit': 31, 'weight': 2}
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id: 988824
{'conductor': 260, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '650.2.o.c', 'target_level': 650, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '260.bl', 'twisting_char_orbit': 38, 'weight': 2}
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id: 988825
{'conductor': 104, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '832.2.i.e', 'target_level': 832, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '104.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 988826
{'conductor': 104, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '832.2.i.f', 'target_level': 832, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '104.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 988827
{'conductor': 364, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1274.2.e.m', 'target_level': 1274, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '364.bz', 'twisting_char_orbit': 52, 'weight': 2}
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id: 988828
{'conductor': 364, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1274.2.e.n', 'target_level': 1274, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '364.ca', 'twisting_char_orbit': 53, 'weight': 2}
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id: 988829
{'conductor': 364, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1274.2.g.a', 'target_level': 1274, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '364.bv', 'twisting_char_orbit': 48, 'weight': 2}
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id: 988830
{'conductor': 364, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1274.2.h.a', 'target_level': 1274, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '364.cg', 'twisting_char_orbit': 59, 'weight': 2}
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id: 988831
{'conductor': 364, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1274.2.h.b', 'target_level': 1274, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '364.bt', 'twisting_char_orbit': 46, 'weight': 2}
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id: 988832
{'conductor': 39, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 20, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1872.2.t.k', 'target_level': 1872, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 988833
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2704.2.a.h', 'target_level': 2704, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 988834
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2704.2.a.i', 'target_level': 2704, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 988835
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2704.2.f.g', 'target_level': 2704, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 988836
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2704.2.f.g', 'target_level': 2704, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 988837
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3042.2.a.e', 'target_level': 3042, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 988838
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '3042.2.a.k', 'target_level': 3042, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 988839
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3042.2.b.e', 'target_level': 3042, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 988840
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3042.2.b.e', 'target_level': 3042, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 988841
{'conductor': 260, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '8450.2.a.f', 'target_level': 8450, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '260.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 988842
{'conductor': 260, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2704.2.f.g', 'source_level': 2704, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '8450.2.a.s', 'target_level': 8450, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '260.u', 'twisting_char_orbit': 21, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2808175
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021941395163792, 'p': 2}
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id: 2808176
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021941395163792, 'p': 3}
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id: 2808177
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 27021941395163792, 'p': 5}
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id: 2808178
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 27021941395163792, 'p': 7}
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id: 2808179
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 27021941395163792, 'p': 11}
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id: 2808180
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021941395163792, 'p': 13}
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id: 2808181
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 27021941395163792, 'p': 17}
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id: 2808182
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021941395163792, 'p': 19}
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id: 2808183
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 27021941395163792, 'p': 23}
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id: 2808184
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 27021941395163792, 'p': 29}
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id: 2808185
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 27021941395163792, 'p': 31}
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id: 2808186
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 27021941395163792, 'p': 37}
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id: 2808187
{'charpoly_factorization': [[[81, 0, 1], 1]], 'hecke_orbit_code': 27021941395163792, 'p': 41}
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id: 2808188
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 27021941395163792, 'p': 43}
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id: 2808189
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 27021941395163792, 'p': 47}
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id: 2808190
{'charpoly_factorization': [[[9, 1], 2]], 'hecke_orbit_code': 27021941395163792, 'p': 53}
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id: 2808191
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 27021941395163792, 'p': 59}
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id: 2808192
{'charpoly_factorization': [[[-7, 1], 2]], 'hecke_orbit_code': 27021941395163792, 'p': 61}
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id: 2808193
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 27021941395163792, 'p': 67}
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id: 2808194
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 27021941395163792, 'p': 71}
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id: 2808195
{'charpoly_factorization': [[[121, 0, 1], 1]], 'hecke_orbit_code': 27021941395163792, 'p': 73}
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id: 2808196
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 27021941395163792, 'p': 79}
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id: 2808197
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021941395163792, 'p': 83}
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id: 2808198
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 27021941395163792, 'p': 89}
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id: 2808199
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 27021941395163792, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 7, 'label': '2704.2.f.g', 'level': 2704, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 47375227
{'hecke_orbit_code': 27021941395163792, 'n': 1, 'trace_an': 2}
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id: 47375228
{'hecke_orbit_code': 27021941395163792, 'n': 2, 'trace_an': 0}
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id: 47375229
{'hecke_orbit_code': 27021941395163792, 'n': 3, 'trace_an': 0}
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id: 47375230
{'hecke_orbit_code': 27021941395163792, 'n': 4, 'trace_an': 0}
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id: 47375231
{'hecke_orbit_code': 27021941395163792, 'n': 5, 'trace_an': 0}
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id: 47375232
{'hecke_orbit_code': 27021941395163792, 'n': 6, 'trace_an': 0}
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id: 47375233
{'hecke_orbit_code': 27021941395163792, 'n': 7, 'trace_an': 0}
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id: 47375234
{'hecke_orbit_code': 27021941395163792, 'n': 8, 'trace_an': 0}
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id: 47375235
{'hecke_orbit_code': 27021941395163792, 'n': 9, 'trace_an': -6}
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id: 47375236
{'hecke_orbit_code': 27021941395163792, 'n': 10, 'trace_an': 0}
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id: 47375237
{'hecke_orbit_code': 27021941395163792, 'n': 11, 'trace_an': 0}
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id: 47375238
{'hecke_orbit_code': 27021941395163792, 'n': 12, 'trace_an': 0}
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id: 47375239
{'hecke_orbit_code': 27021941395163792, 'n': 13, 'trace_an': 0}
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id: 47375240
{'hecke_orbit_code': 27021941395163792, 'n': 14, 'trace_an': 0}
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id: 47375241
{'hecke_orbit_code': 27021941395163792, 'n': 15, 'trace_an': 0}
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id: 47375242
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