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mf_newforms • Show schema
Hide schema
{'Nk2': 2496, 'analytic_conductor': 4.982665086127896, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [624, 2, [79, 469, 209, 145], [2, 2, 2, 1]], 'cm_discs': [], 'conrey_index': 337, 'conrey_indexes': [337], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [0, 1]], [7, [12, 0, 1]], [11, [12, 0, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014535981990512, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], '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_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '624.2.c.e', 'level': 624, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'minimal_twist': '39.2.b.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 2, 'qexp_display': 'q+q^{3}+\\zeta_{6}q^{7}+q^{9}+\\zeta_{6}q^{11}+(-1+\\cdots)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '624.2.c', 'trace_display': [0, 2, 0, 0], 'trace_hash': 206228820814968923, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.914', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.784', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '143.209', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.521', 'prec': 17}, 'traces': [2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 10, 0, 2, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 8, 0, 0, 0, 0, 0, -10, 0, -12, 0, 12, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, -24, 0, 16, 0, 2, 0, 0, 0, 0, 0, 12, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, -16, 0, 0, 0, -24, 0, 0, 0, 0, 0, -12, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 16, 0, 8, 0, 24, 0, 24, 0, 0, 0, 0, 0, 8, 0, 0, 0, -24, 0, 0, 0, -10, 0, 0, 0, 0, 0, -12, 0, 0, 0, 28, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, -36, 0, 0, 0, 0, 0, 24, 0, -20, 0, -4, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 40, 0, 0, 0, 0, 0, -24, 0, 0, 0, 12, 0, 0, 0, 10, 0, 0, 0, 0, 0, -24, 0, -12, 0, 0, 0, 16, 0, 0, 0, 0, 0, 2, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 0, 0, 36, 0, -48, 0, 12, 0, 48, 0, 0, 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0, 0, 0, 0, 0, 0, 0, 36, 0, 40, 0, 0, 0, -96, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 88, 0, 12, 0, -48, 0, -24, 0, 0, 0, 0, 0, 64, 0, 0, 0, 24, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -76, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 144, 0, 38, 0, -24, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -10, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -64, 0, 0, 0, 0, 0, 76, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [1, 0], [0, 0], [0, 0], [0, 0], [0, 1], [0, 0], [1, 0], [0, 0], [0, 1], [0, 0], [-1, 1], [0, 0], [0, 0], [0, 0], [-6, 0], [0, 0], [0, -1], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [5, 0], [0, 0], [1, 0], [0, 0], [6, 0], [0, 0], [0, 1], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [0, 2], [0, 0], [-1, 1], [0, 0], [0, -2], [0, 0], [4, 0], [0, 0], [0, 0], [0, 0], [0, -1], [0, 0], [-5, 0], [0, 0], [-6, 0], [0, 0], [6, 0], [0, 0], [0, 0], [0, 0], [0, -1], [0, 0], [0, -3], [0, 0], [-2, 0], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [0, 3], [0, 0], [0, 0], [0, 0], [0, -1], [0, 0], [0, 0], [0, 0], [5, 0], [0, 0], [-12, 0], [0, 0], [8, 0], [0, 0], [1, 0], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [6, 0], [0, 0], [0, -2], [0, 0], [-12, -1], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [0, -4], [0, 0], [0, 1], [0, 0]], 'ap': [[0, 0], [1, 0], [0, 0], [0, 1], [0, 1], [-1, 1], [-6, 0], [0, -1], [0, 0], [6, 0], [0, 1], [0, 2], [0, -2], [4, 0], [0, -1], [6, 0], [0, -3], [-2, 0], [0, 3], [0, -1], [0, 0], [8, 0], [0, 1], [0, -2], [0, -4], [6, 0], [-8, 0], [-12, 0], [0, 2], [-6, 0], [8, 0], [12, 0], [0, -6], [4, 0], [0, 4], [0, -3], [14, 0], [0, -1], [0, -5], [-18, 0], [12, 0], [-10, 0], [-24, 0], [0, 0], [0, 0], [-16, 0], [20, 0], [0, 1], [0, 5], [0, -2], [-6, 0], [0, 3], [0, 4], [12, 0], [18, 0], [24, 0], [6, 0], [0, -3], [-10, 0], [0, 2], [-4, 0], [0, 8], [0, 3], [0, 0], [10, 0], [0, 4], [0, -1], [-14, 0], [-36, 0], [0, -2], [0, 10], [0, -5], [16, 0], [22, 0], [0, -5], [0, -1], [-18, 0], [0, -10], [0, 2], [0, 8], [12, 0], [0, -10], [0, 7], [34, 0], [-8, 0], [36, 0], [0, 2], [0, -8], [0, -4], [0, 5], [-12, 0], [0, 3], [0, -11], [12, 0], [0, 3], [-24, 0], [0, -12], [18, 0], [4, 0], [0, 2], [-20, 0], [0, 4], [12, 0], [-6, 0], [-4, 0], [0, 0], [0, -3], [0, 2], [-24, 0], [10, 0], [-32, 0], [0, -6], [0, -2], [0, -9], [0, -11], [-6, 0], [0, 3], [24, 0], [6, 0], [-12, 0], [0, -6], [-46, 0], [6, 0], [0, 9], [0, -13], [-42, 0], [0, -2], [-24, 0], [-16, 0], [0, 10], [0, 11], [0, -1], [-32, 0], [22, 0], [0, -14], [0, 8], [0, -4], [0, 3], [-42, 0], [-30, 0], [0, 11], [0, 4], [40, 0], [0, -7], [-2, 0], [0, -1], [0, -6], [42, 0], [-4, 0], [0, -9], [0, 14], [18, 0], [20, 0], [-48, 0], [44, 0], [-24, 0], [32, 0], [0, -6], [-38, 0], [0, 0], [0, -15], [42, 0], [0, -3], [12, 0], [0, 14], [0, 15], [-32, 0], [38, 0]], 'char_orbit_index': 3, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 18014535981990512, 'hecke_ring_character_values': [[79, [1, 0]], [469, [1, 0]], [209, [1, 0]], [145, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 4], 'hecke_ring_inverse_numerators': [[1, 0], [2, 1]], 'hecke_ring_numerators': [[1, 0], [-2, 4]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '624.2.c.e', 'level': 624, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 2496, 'analytic_conductor': 4.982665086127896, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [624, 2, [79, 469, 209, 145], [2, 2, 2, 1]], 'conrey_index': 337, 'cusp_dim': 100, 'dim': 14, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 137472508528, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2], 'label': '624.2.c', 'level': 624, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'mf_dim': 124, 'mf_new_dim': 14, 'num_forms': 7, 'prim_orbit_index': 2, 'relative_dim': 14, 'sturm_bound': 224, 'trace_bound': 17, 'trace_display': [0, -2, 0, 0], 'traces': [14, 0, -2, 0, 0, 0, 0, 0, 14, 0, 0, 0, 2, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -10, 0, -2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 24, 0, 0, 0, 0, 0, 10, 0, 12, 0, -12, 0, 32, 0, 0, 0, 0, 0, -12, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 8, 0, 16, 0, 14, 0, 0, 0, 0, 0, -12, 0, 0, 0, -40, 0, 0, 0, -64, 0, 0, 0, 0, 0, -12, 0, 16, 0, 0, 0, -40, 0, 0, 0, 0, 0, -36, 0, 0, 0, 2, 0, 0, 0, -14, 0, 0, 0, 0, 0, -48, 0, -24, 0, 40, 0, -8, 0, 0, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 10, 0, 0, 0, 0, 0, -4, 0, -128, 0, 20, 0, 20, 0, 0, 0, 0, 0, 16, 0, 0, 0, 6, 0, 0, 0, 4, 0, 0, 0, 0, 0, 40, 0, 4, 0, 36, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -32, 0, 0, 0, -64, 0, 0, 0, 0, 0, 16, 0, 0, 0, 56, 0, -40, 0, 0, 0, 0, 0, 40, 0, 0, 0, -60, 0, 0, 0, -10, 0, 0, 0, 0, 0, -72, 0, 12, 0, -32, 0, 16, 0, 0, 0, 0, 0, -2, 0, 0, 0, 40, 0, 0, 0, 104, 0, 0, 0, 0, 0, 28, 0, -16, 0, 4, 0, 144, 0, 0, 0, 0, 0, -92, 0, 0, 0, 8, 0, 0, 0, -12, 0, 0, 0, 0, 0, 136, 0, -32, 0, -48, 0, 74, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 128, 0, -52, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, -38, 0, 0, 0, 24, 0, 0, 0, 0, 0, 64, 0, -100, 0, -52, 0, -24, 0, 0, 0, 0, 0, 72, 0, 0, 0, 2, 0, 0, 0, 96, 0, 0, 0, 0, 0, -14, 0, 34, 0, 160, 0, 96, 0, 0, 0, 0, 0, 52, 0, 0, 0, 60, 0, 0, 0, -16, 0, 0, 0, 0, 0, 24, 0, 84, 0, 128, 0, -24, 0, 0, 0, 0, 0, 8, 0, 0, 0, -104, 0, 0, 0, -208, 0, 0, 0, 0, 0, 40, 0, -32, 0, -24, 0, -152, 0, 0, 0, 0, 0, 12, 0, 0, 0, -8, 0, 0, 0, -20, 0, 0, 0, 0, 0, -176, 0, 10, 0, 120, 0, 144, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 32, 0, -168, 0, -40, 0, 4, 0, 0, 0, 0, 0, -12, 0, 0, 0, -16, 0, 0, 0, 96, 0, 0, 0, 0, 0, -24, 0, -120, 0, 32, 0, 24, 0, 0, 0, 0, 0, -80, 0, 0, 0, -74, 0, 0, 0, -64, 0, 0, 0, 0, 0, -88, 0, -60, 0, -84, 0, -40, 0, 0, 0, 0, 0, -2, 0, 0, 0, 96, 0, 0, 0, -24, 0, 0, 0, 0, 0, -140, 0, -96, 0, -56, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 168, 0, 0, 0, 0, 0, 12, 0, -56, 0, -48, 0, 192, 0, 0, 0, 0, 0, -120, 0, 0, 0, -16, 0, 0, 0, 56, 0, 0, 0, 0, 0, 128, 0, 32, 0, -144, 0, -116, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 144, 0, 46, 0, 40, 0, 0, 0, 0, 0, 56, 0, 0, 0, -58, 0, 0, 0, -100, 0, 0, 0, 0, 0, 208, 0, 88, 0, -104, 0, 68, 0, 0, 0, 0, 0, -40, 0, 0, 0, 84, 0, 0, 0, 64, 0, 0, 0, 0, 0, 76, 0, 22, 0, -108, 0, 32, 0, 0, 0, 0, 0, -144, 0, 0, 0, -84, 0, 0, 0, 8, 0, 0, 0, 0, 0, 140, 0, -60, 0, 16, 0, 80, 0, 0, 0, 0, 0, 16, 0, 0, 0, -96, 0, 0, 0, -208, 0, 0, 0, 0, 0, -12, 0, 0, 0, 14, 0, -144, 0, 0, 0, 0, 0, -8, 0, 0, 0, -40, 0, 0, 0, -48, 0, 0, 0, 0, 0, -192, 0, -56, 0, 192, 0, -156, 0, 0, 0, 0, 0, 48, 0, 0, 0, -72, 0, 0, 0, -36, 0, 0, 0, 0, 0, -48, 0, -144, 0, 72, 0, -12, 0, 0, 0, 0, 0, 48, 0, 0, 0, 44, 0, 0, 0, -60, 0, 0, 0, 0, 0, -128, 0, 320, 0, 116, 0, -84, 0, 0, 0, 0, 0, -128, 0, 0, 0, -40, 0, 0, 0, 112, 0, 0, 0, 0, 0, 20, 0, -108, 0, 180, 0, 32, 0, 0, 0, 0, 0, 98, 0, 0, 0, -96, 0, 0, 0, 40, 0, 0, 0, 0, 0, -64, 0, 12, 0, -184, 0, 112, 0, 0, 0, 0, 0, 26, 0, 0, 0, 72, 0, 0, 0, 192, 0, 0, 0, 0, 0, 92, 0, 88, 0, 48, 0, -32, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 40, 0, -12, 0, -144, 0, 248, 0, 0, 0, 0, 0, 160, 0, 0, 0, 168, 0, 0, 0, 16, 0, 0, 0, 0, 0, -96, 0, 192, 0, -68, 0, 76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 12, 0, 0, 0, 0, 0, 176, 0, -230, 0, -40, 0, -192, 0, 0, 0, 0, 0, -24, 0, 0, 0, 106, 0, 0, 0, -144, 0, 0, 0, 0, 0, -16, 0, 104, 0, 128, 0, 64, 0, 0, 0, 0, 0, 20, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 418330
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '39.2.b.a', 'target_level': 39, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418331
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '39.2.b.a', 'target_level': 39, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418332
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '117.2.b.a', 'target_level': 117, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418333
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '117.2.b.a', 'target_level': 117, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 418334
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '507.2.a.f', 'target_level': 507, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 418335
{'conductor': 52, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '507.2.e.e', 'target_level': 507, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 418336
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '507.2.j.a', 'target_level': 507, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 418337
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '507.2.j.a', 'target_level': 507, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 418338
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '507.2.j.c', 'target_level': 507, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 418339
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '507.2.j.c', 'target_level': 507, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 418340
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '624.2.c.e', 'target_level': 624, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 418341
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '624.2.c.e', 'target_level': 624, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418342
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '975.2.b.d', 'target_level': 975, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 418343
{'conductor': 260, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '975.2.b.d', 'target_level': 975, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '260.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 418344
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '975.2.h.f', 'target_level': 975, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 418345
{'conductor': 260, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '975.2.h.f', 'target_level': 975, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '260.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 418346
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1521.2.a.l', 'target_level': 1521, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 418347
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1872.2.c.e', 'target_level': 1872, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418348
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1872.2.c.e', 'target_level': 1872, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 418349
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1911.2.c.d', 'target_level': 1911, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 418350
{'conductor': 364, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1911.2.c.d', 'target_level': 1911, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '364.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 418351
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2496.2.c.d', 'target_level': 2496, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418352
{'conductor': 104, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2496.2.c.d', 'target_level': 2496, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '104.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 418353
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2496.2.c.k', 'target_level': 2496, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 418354
{'conductor': 104, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2496.2.c.k', 'target_level': 2496, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '104.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 418355
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '624.2.c.e', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '8112.2.a.bv', 'target_level': 8112, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1129425
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014535981990512, 'p': 2}
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id: 1129426
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 18014535981990512, 'p': 3}
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id: 1129427
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014535981990512, 'p': 5}
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id: 1129428
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 18014535981990512, 'p': 7}
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id: 1129429
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 18014535981990512, 'p': 11}
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id: 1129430
{'charpoly_factorization': [[[13, 2, 1], 1]], 'hecke_orbit_code': 18014535981990512, 'p': 13}
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id: 1129431
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 18014535981990512, 'p': 17}
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id: 1129432
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 18014535981990512, 'p': 19}
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id: 1129433
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014535981990512, 'p': 23}
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id: 1129434
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 18014535981990512, 'p': 29}
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id: 1129435
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 18014535981990512, 'p': 31}
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id: 1129436
{'charpoly_factorization': [[[48, 0, 1], 1]], 'hecke_orbit_code': 18014535981990512, 'p': 37}
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id: 1129437
{'charpoly_factorization': [[[48, 0, 1], 1]], 'hecke_orbit_code': 18014535981990512, 'p': 41}
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id: 1129438
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 18014535981990512, 'p': 43}
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id: 1129439
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 18014535981990512, 'p': 47}
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id: 1129440
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 18014535981990512, 'p': 53}
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id: 1129441
{'charpoly_factorization': [[[108, 0, 1], 1]], 'hecke_orbit_code': 18014535981990512, 'p': 59}
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id: 1129442
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 18014535981990512, 'p': 61}
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id: 1129443
{'charpoly_factorization': [[[108, 0, 1], 1]], 'hecke_orbit_code': 18014535981990512, 'p': 67}
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id: 1129444
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 18014535981990512, 'p': 71}
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id: 1129445
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014535981990512, 'p': 73}
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id: 1129446
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 18014535981990512, 'p': 79}
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id: 1129447
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 18014535981990512, 'p': 83}
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id: 1129448
{'charpoly_factorization': [[[48, 0, 1], 1]], 'hecke_orbit_code': 18014535981990512, 'p': 89}
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id: 1129449
{'charpoly_factorization': [[[192, 0, 1], 1]], 'hecke_orbit_code': 18014535981990512, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 5, 'label': '624.2.c.e', 'level': 624, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 157217000
{'hecke_orbit_code': 18014535981990512, 'n': 1, 'trace_an': 2}
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id: 157217001
{'hecke_orbit_code': 18014535981990512, 'n': 2, 'trace_an': 0}
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id: 157217002
{'hecke_orbit_code': 18014535981990512, 'n': 3, 'trace_an': 2}
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id: 157217003
{'hecke_orbit_code': 18014535981990512, 'n': 4, 'trace_an': 0}
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id: 157217004
{'hecke_orbit_code': 18014535981990512, 'n': 5, 'trace_an': 0}
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id: 157217005
{'hecke_orbit_code': 18014535981990512, 'n': 6, 'trace_an': 0}
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id: 157217006
{'hecke_orbit_code': 18014535981990512, 'n': 7, 'trace_an': 0}
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id: 157217007
{'hecke_orbit_code': 18014535981990512, 'n': 8, 'trace_an': 0}
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id: 157217008
{'hecke_orbit_code': 18014535981990512, 'n': 9, 'trace_an': 2}
-
id: 157217009
{'hecke_orbit_code': 18014535981990512, 'n': 10, 'trace_an': 0}
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id: 157217010
{'hecke_orbit_code': 18014535981990512, 'n': 11, 'trace_an': 0}
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id: 157217011
{'hecke_orbit_code': 18014535981990512, 'n': 12, 'trace_an': 0}
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id: 157217012
{'hecke_orbit_code': 18014535981990512, 'n': 13, 'trace_an': -2}
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id: 157217013
{'hecke_orbit_code': 18014535981990512, 'n': 14, 'trace_an': 0}
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id: 157217014
{'hecke_orbit_code': 18014535981990512, 'n': 15, 'trace_an': 0}
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id: 157217015
{'hecke_orbit_code': 18014535981990512, 'n': 16, 'trace_an': 0}
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id: 157217016
{'hecke_orbit_code': 18014535981990512, 'n': 17, 'trace_an': -12}
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id: 157217017
{'hecke_orbit_code': 18014535981990512, 'n': 18, 'trace_an': 0}
-
id: 157217018
{'hecke_orbit_code': 18014535981990512, 'n': 19, 'trace_an': 0}
-
id: 157217019
{'hecke_orbit_code': 18014535981990512, 'n': 20, 'trace_an': 0}
-
id: 157217020
{'hecke_orbit_code': 18014535981990512, 'n': 21, 'trace_an': 0}
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id: 157217021
{'hecke_orbit_code': 18014535981990512, 'n': 22, 'trace_an': 0}
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id: 157217022
{'hecke_orbit_code': 18014535981990512, 'n': 23, 'trace_an': 0}
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id: 157217023
{'hecke_orbit_code': 18014535981990512, 'n': 24, 'trace_an': 0}
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id: 157217024
{'hecke_orbit_code': 18014535981990512, 'n': 25, 'trace_an': 10}
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