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mf_newforms • Show schema
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{'Nk2': 220, 'analytic_conductor': 0.4391772111170421, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [55, 2, [12, 46], [1, 2]], 'cm_discs': [], 'conrey_index': 34, 'dim': 4, 'field_disc': 1089, 'field_disc_factorization': [[3, 2], [11, 2]], 'field_poly': [9, -3, -2, -1, 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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 68753031223, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '55.2.b.a', 'level': 55, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [5, 11], 'level_radical': 55, 'minimal_twist': '55.2.b.a', 'nf_label': '4.0.1089.1', 'prim_orbit_index': 2, 'qexp_display': 'q+(-\\beta _{1}-\\beta _{2}+\\beta _{3})q^{2}+(\\beta _{1}-\\beta _{3})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '55.2.b', 'trace_display': [0, 0, -3, 0], 'trace_hash': 381993778915803418, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.679', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.205', 'prec': 17}, {'__RealLiteral__': 0, 'data': '69.883', 'prec': 20}, {'__RealLiteral__': 0, 'data': '31.582', 'prec': 20}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, -1, -1, 1], [0, 1, 0, -1], [-1, 1, 0, 1], [-1, -1, -1, 0], [2, 0, 0, 0], [0, 0, 2, 0], [0, 1, 3, -1], [-1, -1, 0, -1], [-2, 1, -1, 1], [-1, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [2, -2, 0, -2], [0, -2, 1, 1], [3, -1, 0, -1], [0, 2, 0, -2], [0, -1, -3, 1], [-4, 0, 0, 0], [-3, 3, 4, -3], [4, 2, 0, 2], [0, 1, 1, -1], [0, -1, 0, 1], [2, 2, 0, 2], [1, 0, -1, 3], [0, 0, 0, 0], [0, 1, 2, -1], [0, -6, -6, 6], [-2, 2, 0, 2], [-2, -2, -2, 0], [0, -1, 0, -1], [0, -3, -1, 3], [0, -1, 0, 1], [4, 0, 0, 0], [4, 2, 0, -4], [-7, 1, 0, 1], [0, 3, -2, -3], [0, 4, 4, -4], [0, 0, 0, 0], [6, 1, 1, -5], [2, -2, 0, -2], [0, 0, 4, 0], [0, 0, -2, 0], [1, -1, 0, -1], [5, -1, -2, 3], [-2, 0, 0, 0], [0, -4, -2, 4], [0, 2, 2, -2], [-5, 0, 0, 0], [-4, 3, 5, -1], [-8, -2, 0, -2], [0, 0, 0, 0], [0, -4, -4, 4], [4, -2, 0, -2], [1, 1, 1, 0], [-14, 2, 0, 2], [0, -4, 0, 4], [0, 6, 10, -6], [4, -1, 0, -1], [-4, -2, 0, 4], [6, 2, 0, 2], [0, -2, -4, 2], [0, 6, 2, -6], [-1, -1, 0, -1], [0, 0, 0, 0], [-2, 0, 0, 0], [0, 3, 4, -3], [0, 0, -4, 0], [4, 1, 0, 1], [6, -6, -8, 6], [0, 3, 0, 3], [0, 7, 5, -7], [0, 0, 4, 0], [4, 2, 0, 2], [4, 3, -3, -2], [4, -4, 0, -4], [0, 0, -2, 0], [0, 0, 0, 0], [-8, -2, 0, -2], [1, -5, -6, 3], [-3, -2, 0, -2], [0, -6, -10, 6], [0, -4, -2, 4], [12, 0, 0, 0], [0, -4, 2, 2], [-2, 2, 0, 2], [0, 0, -4, 0], [0, -1, -3, 1], [2, 1, 0, 1], [-6, -1, -1, 5], [0, 0, 0, 0], [0, 0, 2, 0], [0, -1, 2, 1], [-10, 2, 0, 2], [4, 4, 4, 0], [10, 2, 0, 2], [0, 3, 2, -3], [0, 5, 5, -5], [1, 1, 0, 1], [11, 1, 6, -5]], 'ap': [[0, -1, -1, 1], [0, 1, 0, -1], [-1, -1, -1, 0], [0, 0, 2, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [0, 2, 0, -2], [-4, 0, 0, 0], [0, -1, 0, 1], [-2, 2, 0, 2], [0, -1, 0, -1], [0, 3, -2, -3], [2, -2, 0, -2], [0, 0, -2, 0], [0, -4, -2, 4], [0, -4, -4, 4], [4, -1, 0, -1], [6, 2, 0, 2], [0, 3, 4, -3], [0, 3, 0, 3], [0, 0, 4, 0], [-8, -2, 0, -2], [0, -4, -2, 4], [2, 1, 0, 1], [0, 3, 2, -3], [6, 0, 0, 0], [0, 0, 6, 0], [0, -4, -2, 4], [-10, 0, 0, 0], [0, 5, -2, -5], [0, -6, -2, 6], [4, 2, 0, 2], [0, 5, 6, -5], [-4, -6, 0, -6], [-2, -4, 0, -4], [8, 6, 0, 6], [0, -9, -10, 9], [0, 0, 2, 0], [0, 2, -10, -2], [0, 2, 4, -2], [4, 5, 0, 5], [14, -3, 0, -3], [-16, 1, 0, 1], [0, 12, 4, -12], [0, 2, 4, -2], [8, 0, 0, 0], [-12, -4, 0, -4], [0, 3, 0, -3], [0, 8, 6, -8], [-18, -1, 0, -1], [0, -4, 4, 4], [8, -2, 0, -2], [10, -2, 0, -2], [-12, 3, 0, 3], [0, -4, 8, 4], [0, -4, -14, 4], [-2, -4, 0, -4], [0, -4, 0, -4], [0, -6, -4, 6], [-14, -4, 0, -4], [0, -6, -6, 6], [0, -4, 0, 4], [0, 18, 10, -18], [-8, -4, 0, -4], [0, -3, 14, 3], [0, 11, 14, -11], [-4, 3, 0, 3], [0, -6, -16, 6], [0, 2, -14, -2], [-2, 4, 0, 4], [0, -1, -14, 1], [-16, 4, 0, 4], [0, 15, 8, -15], [0, 6, 4, -6], [4, 1, 0, 1], [0, 5, 4, -5], [-2, 5, 0, 5], [0, -12, -4, 12], [2, 4, 0, 4], [-14, 4, 0, 4], [-4, -8, 0, -8], [22, 4, 0, 4], [8, 10, 0, 10], [0, -15, -10, 15], [-8, 4, 0, 4], [0, 5, 16, -5], [10, 5, 0, 5], [0, 0, -12, 0], [-18, -6, 0, -6], [0, 3, 16, -3], [0, -1, -4, 1], [-8, -4, 0, -4], [0, -9, 0, 9], [20, 4, 0, 4], [20, 0, 0, 0], [0, -4, -6, 4], [-26, -1, 0, -1], [2, 7, 0, 7], [0, -6, -14, 6], [14, -6, 0, -6], [0, -6, -14, 6], [0, -10, 4, 10], [0, 2, 10, -2], [34, 2, 0, 2], [-12, -4, 0, -4], [0, -3, 14, 3], [0, -4, -22, 4], [0, 20, 4, -20], [16, 8, 0, 8], [2, 12, 0, 12], [0, 0, 2, 0], [0, -12, 8, 12], [0, -4, -8, 4], [-4, 3, 0, 3], [0, -7, 0, -7], [-22, 1, 0, 1], [0, 21, 8, -21], [0, -19, -4, 19], [0, 17, 10, -17], [-28, -2, 0, -2], [14, 9, 0, 9], [0, -6, -8, 6], [0, 2, 28, -2], [0, 8, -14, -8], [28, -5, 0, -5], [-26, -4, 0, -4], [-34, -3, 0, -3], [0, -9, 0, -9], [0, 9, 4, -9], [0, 12, 0, -12], [4, -2, 0, -2], [0, -10, -2, 10], [24, -1, 0, -1], [0, 24, 12, -24], [26, -2, 0, -2], [18, 14, 0, 14], [0, -4, 12, 4], [0, -6, -6, 6], [0, 11, -2, -11], [26, -2, 0, -2], [20, 6, 0, 6], [-18, 0, 0, 0], [0, -27, -20, 27], [0, 14, 10, -14], [-10, -9, 0, -9], [0, -3, 0, -3], [0, -18, -12, 18], [0, -4, -12, 4], [-4, -3, 0, -3], [0, 8, -2, -8], [0, 0, 0, 0], [10, 5, 0, 5], [0, 0, -14, 0], [0, -4, -14, 4], [0, -12, -6, 12], [-40, 4, 0, 4], [8, -6, 0, -6], [34, 8, 0, 8], [0, 24, 20, -24], [-18, 12, 0, 12], [0, -25, -4, 25], [0, -22, -8, 22], [0, 6, -18, -6], [28, 11, 0, 11], [0, -7, -26, 7], [0, 5, 12, -5], [-8, -8, 0, -8], [0, -6, 4, 6]], 'char_orbit_index': 2, 'field_poly': [9, -3, -2, -1, 1], 'hecke_orbit_code': 68753031223, 'hecke_ring_character_values': [[12, [-1, 0, 0, 0]], [46, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 6, 3, 2], 'hecke_ring_inverse_denominators': [1, 2, 2, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [1, 2, 1, 0], [3, 0, -3, 2], [4, 2, 1, -2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [-9, 4, 2, 1], [6, 2, -2, -1], [3, 2, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '55.2.b.a', 'level': 55, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 220, 'analytic_conductor': 0.4391772111170421, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [55, 2, [12, 46], [1, 2]], 'conrey_index': 34, 'cusp_dim': 4, 'dim': 4, 'eis_dim': 4, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 68753031223, 'hecke_orbit_dims': [4], 'label': '55.2.b', 'level': 55, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [5, 11], 'level_radical': 55, 'mf_dim': 8, 'mf_new_dim': 4, 'num_forms': 1, 'prim_orbit_index': 2, 'relative_dim': 4, 'sturm_bound': 12, 'trace_bound': 0, 'trace_display': [0, 0, -3, 0], 'traces': [4, 0, 0, -6, -3, 8, 0, 0, -2, -10, -4, 0, 0, 12, 1, 14, 0, 0, -16, -12, 12, 0, 0, 4, 1, 0, 0, 0, -12, -6, 2, 0, 0, 16, 18, -30, 0, 0, 0, 28, 12, 0, 0, 6, 18, -8, 0, 0, -20, -18, -28, 0, 0, 20, 3, -60, 0, 0, 18, -18, 20, 0, 0, -2, 0, -8, 0, 0, 14, 24, -6, 0, 0, 12, 15, 24, 0, 0, -28, 6, -8, 0, 0, 48, 2, -12, 0, 0, 6, -28, 0, 0, 0, -44, 12, 36, 0, 0, 2, 48, 24, 0, 0, 0, -42, -56, 0, 0, -40, 10, -54, 0, 0, -32, -1, 84, 0, 0, 24, -36, 4, 0, 0, -36, -36, 60, 0, 0, -12, 0, 12, 0, 0, 48, 19, 8, 0, 0, -4, -60, 44, 0, 0, 26, -24, 24, 0, 0, 0, 2, 20, 0, 0, -12, 15, 0, 0, 0, 32, -12, -12, 0, 0, -84, -1, -44, 0, 0, 52, -12, 8, 0, 0, -24, 6, -14, 0, 0, 6, 6, 62, 0, 0, -4, -15, 4, 0, 0, -36, 40, -66, 0, 0, 36, 0, 30, 0, 0, 32, 24, -18, 0, 0, -24, 24, 36, 0, 0, 16, 36, -40, 0, 0, -44, -18, -56, 0, 0, 24, 12, 0, 0, 0, -12, -50, 28, 0, 0, -70, 6, -12, 0, 0, 0, -22, -60, 0, 0, 36, 20, 44, 0, 0, 36, 15, 24, 0, 0, 44, 44, -54, 0, 0, -60, 54, -90, 0, 0, 84, 0, -60, 0, 0, -4, -40, -48, 0, 0, 0, 18, 8, 0, 0, 76, -1, 12, 0, 0, 32, 12, -48, 0, 0, 108, -4, 0, 0, 0, 12, 96, -30, 0, 0, -40, 3, 72, 0, 0, 0, -6, 48, 0, 0, -56, -48, -8, 0, 0, 36, -38, -24, 0, 0, -132, 24, -24, 0, 0, 12, 18, 44, 0, 0, -54, 0, 12, 0, 0, 0, 6, -22, 0, 0, -44, 39, -24, 0, 0, -82, -36, -2, 0, 0, 60, -27, 40, 0, 0, -16, -96, 0, 0, 0, 36, -45, 24, 0, 0, -72, 52, -12, 0, 0, 0, 36, 40, 0, 0, 60, -42, 48, 0, 0, -16, -44, 44, 0, 0, 14, 48, 72, 0, 0, 68, -18, 120, 0, 0, -18, 0, 28, 0, 0, 40, 54, 30, 0, 0, -48, -46, 0, 0, 0, -36, 39, -168, 0, 0, -64, -96, -34, 0, 0, 4, -22, 0, 0, 0, 0, -36, 80, 0, 0, 104, 30, -12, 0, 0, 0, -24, 12, 0, 0, 72, -36, 60, 0, 0, -40, -28, 10, 0, 0, -84, -21, 24, 0, 0, 30, -24, -12, 0, 0, 100, 0, -16, 0, 0, -4, 18, -60, 0, 0, -108, 17, -8, 0, 0, -60, 0, 66, 0, 0, -56, -4, 96, 0, 0, -24, -60, 0, 0, 0, -6, 21, 44, 0, 0, 12, 50, 72, 0, 0, 0, -18, 40, 0, 0, 80, 54, -88, 0, 0, -36, -18, 8, 0, 0, -102, 4, -96, 0, 0, 16, 54, -48, 0, 0, -4, 0, -6, 0, 0, 48, 102, -116, 0, 0, 78, -24, 24, 0, 0, 12, -22, -108, 0, 0, 20, -78, 68, 0, 0, 72, 30, 0, 0, 0, -76, 18, 48, 0, 0, -72, 123, -192, 0, 0, 0, 96, 28, 0, 0, 0, -13, -84, 0, 0, 132, 24, -40, 0, 0, 168, -15, 34, 0, 0, -144, 36, 0, 0, 0, -120, 0, -32, 0, 0, -8, -78, -4, 0, 0, -20, -84, -132, 0, 0, 48, 100, -16, 0, 0, 168, -3, 48, 0, 0, 96, 16, 0, 0, 0, 204, 36, 60, 0, 0, -22, -6, 2, 0, 0, 0, 49, 60, 0, 0, -108, -12, 14, 0, 0, 172, -24, -48, 0, 0, -96, -52, -90, 0, 0, -48, 42, -64, 0, 0, -18, 0, -60, 0, 0, -80, -42, 108, 0, 0, -108, 18, 38, 0, 0, 44, -72, -72, 0, 0, -42, 30, -20, 0, 0, -144, 21, -78, 0, 0, -12, -72, -76, 0, 0, 120, 59, 24, 0, 0, 0, -2, 122, 0, 0, -68, 102, 120, 0, 0, 80, -108, -96, 0, 0, 2, -66, -92, 0, 0, -130, 114, 80, 0, 0, 48, 0, 156, 0, 0, 18, 30, -144, 0, 0, -192, 96, 8, 0, 0, 64, 48, -24, 0, 0, 168, -5, -36, 0, 0, 20, 6, 0, 0, 0, -64, 66, 72, 0, 0, 0, -72, 98, 0, 0, 0, -114, 120, 0, 0, -14, -112, 108, 0, 0, 132, 32, 64, 0, 0, 44, -24, 104, 0, 0, -60, -49, -48, 0, 0, -48, 0, 6, 0, 0, -70, -99, 24, 0, 0, -28, 4, 108, 0, 0, -120, -24, -48, 0, 0, 88, -48, -36, 0, 0, 60, 42, 0, 0, 0, 108, -46, 68, 0, 0, -12, 18, -32, 0, 0, 0, -36, -72, 0, 0, -180, -15, 120, 0, 0, -22, 0, 60, 0, 0, -8, -88, -24, 0, 0, 6, -48, 52, 0, 0, -72, -39, -44, 0, 0, 48, 4, 54, 0, 0, -72, -72, 44, 0, 0, -10, 60, -96, 0, 0, 24, 38, -180, 0, 0, 28, -48, 0, 0, 0, 32, 0, 96, 0, 0, 56, -6, 30, 0, 0, 0, 21, 136, 0, 0, -24, 18, 8, 0, 0, 0, -87, 36, 0, 0, -72, 42, 64, 0, 0, 80, 3, 40, 0, 0, -12, 0, -168, 0, 0, -72, -28, 72, 0, 0, 44, 36, -192, 0, 0, -48, 39, 120, 0, 0, 120, 30, 80, 0, 0, -32, -2, 0, 0, 0, 126, 132, -96, 0, 0, 96, -6, 12, 0, 0, 0, 72, -70, 0, 0, -104, 33, -120, 0, 0, -84, 16, -90, 0, 0, -132, 48, -24, 0, 0, 112, 6, 90, 0, 0, -72, 0, 4, 0, 0, -6, 60, 20, 0, 0, -120, 38, -48, 0, 0, 12, 28, -16, 0, 0, -216, -24, 0, 0, 0, 30, -44], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 46264
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '55.2.b.a', 'source_level': 55, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '55.2.b.a', 'target_level': 55, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 46265
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '55.2.b.a', 'source_level': 55, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '55.2.b.a', 'target_level': 55, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 46266
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '55.2.b.a', 'source_level': 55, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '275.2.a.h', 'target_level': 275, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 46267
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '55.2.b.a', 'source_level': 55, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '495.2.c.a', 'target_level': 495, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 46268
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '55.2.b.a', 'source_level': 55, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '495.2.c.a', 'target_level': 495, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 46269
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '55.2.b.a', 'source_level': 55, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '605.2.b.c', 'target_level': 605, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 46270
{'conductor': 55, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '55.2.b.a', 'source_level': 55, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '605.2.b.c', 'target_level': 605, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '55.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 46271
{'conductor': 11, 'degree': 4, 'multiplicity': 4, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '55.2.b.a', 'source_level': 55, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '605.2.j.i', 'target_level': 605, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 46272
{'conductor': 55, 'degree': 4, 'multiplicity': 4, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '55.2.b.a', 'source_level': 55, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '605.2.j.i', 'target_level': 605, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '55.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 46273
{'conductor': 11, 'degree': 4, 'multiplicity': 4, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '55.2.b.a', 'source_level': 55, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '605.2.j.j', 'target_level': 605, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 46274
{'conductor': 55, 'degree': 4, 'multiplicity': 4, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '55.2.b.a', 'source_level': 55, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '605.2.j.j', 'target_level': 605, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '55.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 46275
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '55.2.b.a', 'source_level': 55, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '880.2.b.h', 'target_level': 880, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 46276
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '55.2.b.a', 'source_level': 55, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '880.2.b.h', 'target_level': 880, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 46277
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '55.2.b.a', 'source_level': 55, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '2475.2.a.bi', 'target_level': 2475, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 46278
{'conductor': 55, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '55.2.b.a', 'source_level': 55, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '3025.2.a.ba', 'target_level': 3025, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '55.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 46279
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '55.2.b.a', 'source_level': 55, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 55, 'target_is_minimal': False, 'target_label': '4400.2.a.cc', 'target_level': 4400, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 184000
{'charpoly_factorization': [[[4, 0, 7, 0, 1], 1]], 'hecke_orbit_code': 68753031223, 'p': 2}
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id: 184001
{'charpoly_factorization': [[[4, 0, 7, 0, 1], 1]], 'hecke_orbit_code': 68753031223, 'p': 3}
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id: 184002
{'charpoly_factorization': [[[25, 15, 4, 3, 1], 1]], 'hecke_orbit_code': 68753031223, 'p': 5}
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id: 184003
{'charpoly_factorization': [[[12, 0, 1], 2]], 'hecke_orbit_code': 68753031223, 'p': 7}
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id: 184004
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 68753031223, 'p': 11}
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id: 184005
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 68753031223, 'p': 13}
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id: 184006
{'charpoly_factorization': [[[64, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 68753031223, 'p': 17}
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id: 184007
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 68753031223, 'p': 19}
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id: 184008
{'charpoly_factorization': [[[4, 0, 7, 0, 1], 1]], 'hecke_orbit_code': 68753031223, 'p': 23}
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id: 184009
{'charpoly_factorization': [[[-24, 6, 1], 2]], 'hecke_orbit_code': 68753031223, 'p': 29}
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id: 184010
{'charpoly_factorization': [[[-8, -1, 1], 2]], 'hecke_orbit_code': 68753031223, 'p': 31}
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id: 184011
{'charpoly_factorization': [[[144, 0, 123, 0, 1], 1]], 'hecke_orbit_code': 68753031223, 'p': 37}
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id: 184012
{'charpoly_factorization': [[[-24, -6, 1], 2]], 'hecke_orbit_code': 68753031223, 'p': 41}
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id: 184013
{'charpoly_factorization': [[[12, 0, 1], 2]], 'hecke_orbit_code': 68753031223, 'p': 43}
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id: 184014
{'charpoly_factorization': [[[44, 0, 1], 2]], 'hecke_orbit_code': 68753031223, 'p': 47}
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id: 184015
{'charpoly_factorization': [[[1024, 0, 112, 0, 1], 1]], 'hecke_orbit_code': 68753031223, 'p': 53}
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id: 184016
{'charpoly_factorization': [[[12, -9, 1], 2]], 'hecke_orbit_code': 68753031223, 'p': 59}
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id: 184017
{'charpoly_factorization': [[[-8, -10, 1], 2]], 'hecke_orbit_code': 68753031223, 'p': 61}
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id: 184018
{'charpoly_factorization': [[[36, 0, 87, 0, 1], 1]], 'hecke_orbit_code': 68753031223, 'p': 67}
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id: 184019
{'charpoly_factorization': [[[-72, 3, 1], 2]], 'hecke_orbit_code': 68753031223, 'p': 71}
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id: 184020
{'charpoly_factorization': [[[48, 0, 1], 2]], 'hecke_orbit_code': 68753031223, 'p': 73}
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id: 184021
{'charpoly_factorization': [[[16, 14, 1], 2]], 'hecke_orbit_code': 68753031223, 'p': 79}
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id: 184022
{'charpoly_factorization': [[[44, 0, 1], 2]], 'hecke_orbit_code': 68753031223, 'p': 83}
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id: 184023
{'charpoly_factorization': [[[-6, -3, 1], 2]], 'hecke_orbit_code': 68753031223, 'p': 89}
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id: 184024
{'charpoly_factorization': [[[576, 0, 51, 0, 1], 1]], 'hecke_orbit_code': 68753031223, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 1, 'label': '55.2.b.a', 'level': 55, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 4426279
{'hecke_orbit_code': 68753031223, 'n': 1, 'trace_an': 4}
-
id: 4426280
{'hecke_orbit_code': 68753031223, 'n': 2, 'trace_an': 0}
-
id: 4426281
{'hecke_orbit_code': 68753031223, 'n': 3, 'trace_an': 0}
-
id: 4426282
{'hecke_orbit_code': 68753031223, 'n': 4, 'trace_an': -6}
-
id: 4426283
{'hecke_orbit_code': 68753031223, 'n': 5, 'trace_an': -3}
-
id: 4426284
{'hecke_orbit_code': 68753031223, 'n': 6, 'trace_an': 8}
-
id: 4426285
{'hecke_orbit_code': 68753031223, 'n': 7, 'trace_an': 0}
-
id: 4426286
{'hecke_orbit_code': 68753031223, 'n': 8, 'trace_an': 0}
-
id: 4426287
{'hecke_orbit_code': 68753031223, 'n': 9, 'trace_an': -2}
-
id: 4426288
{'hecke_orbit_code': 68753031223, 'n': 10, 'trace_an': -10}
-
id: 4426289
{'hecke_orbit_code': 68753031223, 'n': 11, 'trace_an': -4}
-
id: 4426290
{'hecke_orbit_code': 68753031223, 'n': 12, 'trace_an': 0}
-
id: 4426291
{'hecke_orbit_code': 68753031223, 'n': 13, 'trace_an': 0}
-
id: 4426292
{'hecke_orbit_code': 68753031223, 'n': 14, 'trace_an': 12}
-
id: 4426293
{'hecke_orbit_code': 68753031223, 'n': 15, 'trace_an': 1}
-
id: 4426294
{'hecke_orbit_code': 68753031223, 'n': 16, 'trace_an': 14}
-
id: 4426295
{'hecke_orbit_code': 68753031223, 'n': 17, 'trace_an': 0}
-
id: 4426296
{'hecke_orbit_code': 68753031223, 'n': 18, 'trace_an': 0}
-
id: 4426297
{'hecke_orbit_code': 68753031223, 'n': 19, 'trace_an': -16}
-
id: 4426298
{'hecke_orbit_code': 68753031223, 'n': 20, 'trace_an': -12}
-
id: 4426299
{'hecke_orbit_code': 68753031223, 'n': 21, 'trace_an': 12}
-
id: 4426300
{'hecke_orbit_code': 68753031223, 'n': 22, 'trace_an': 0}
-
id: 4426301
{'hecke_orbit_code': 68753031223, 'n': 23, 'trace_an': 0}
-
id: 4426302
{'hecke_orbit_code': 68753031223, 'n': 24, 'trace_an': 4}
-
id: 4426303
{'hecke_orbit_code': 68753031223, 'n': 25, 'trace_an': 1}
-
id: 4426304
{'hecke_orbit_code': 68753031223, 'n': 26, 'trace_an': 0}
-
id: 4426305
{'hecke_orbit_code': 68753031223, 'n': 27, 'trace_an': 0}
-
id: 4426306
{'hecke_orbit_code': 68753031223, 'n': 28, 'trace_an': 0}
-
id: 4426307
{'hecke_orbit_code': 68753031223, 'n': 29, 'trace_an': -12}
-
id: 4426308
{'hecke_orbit_code': 68753031223, 'n': 30, 'trace_an': -6}
-
id: 4426309
{'hecke_orbit_code': 68753031223, 'n': 31, 'trace_an': 2}
-
id: 4426310
{'hecke_orbit_code': 68753031223, 'n': 32, 'trace_an': 0}
-
id: 4426311
{'hecke_orbit_code': 68753031223, 'n': 33, 'trace_an': 0}
-
id: 4426312
{'hecke_orbit_code': 68753031223, 'n': 34, 'trace_an': 16}
-
id: 4426313
{'hecke_orbit_code': 68753031223, 'n': 35, 'trace_an': 18}
-
id: 4426314
{'hecke_orbit_code': 68753031223, 'n': 36, 'trace_an': -30}
-
id: 4426315
{'hecke_orbit_code': 68753031223, 'n': 37, 'trace_an': 0}
-
id: 4426316
{'hecke_orbit_code': 68753031223, 'n': 38, 'trace_an': 0}
-
id: 4426317
{'hecke_orbit_code': 68753031223, 'n': 39, 'trace_an': 0}
-
id: 4426318
{'hecke_orbit_code': 68753031223, 'n': 40, 'trace_an': 28}
-
id: 4426319
{'hecke_orbit_code': 68753031223, 'n': 41, 'trace_an': 12}
-
id: 4426320
{'hecke_orbit_code': 68753031223, 'n': 42, 'trace_an': 0}
-
id: 4426321
{'hecke_orbit_code': 68753031223, 'n': 43, 'trace_an': 0}
-
id: 4426322
{'hecke_orbit_code': 68753031223, 'n': 44, 'trace_an': 6}
-
id: 4426323
{'hecke_orbit_code': 68753031223, 'n': 45, 'trace_an': 18}
-
id: 4426324
{'hecke_orbit_code': 68753031223, 'n': 46, 'trace_an': -8}
-
id: 4426325
{'hecke_orbit_code': 68753031223, 'n': 47, 'trace_an': 0}
-
id: 4426326
{'hecke_orbit_code': 68753031223, 'n': 48, 'trace_an': 0}
-
id: 4426327
{'hecke_orbit_code': 68753031223, 'n': 49, 'trace_an': -20}
-
id: 4426328
{'hecke_orbit_code': 68753031223, 'n': 50, 'trace_an': -18}
-
id: 4426329
{'hecke_orbit_code': 68753031223, 'n': 51, 'trace_an': -28}
-
id: 4426330
{'hecke_orbit_code': 68753031223, 'n': 52, 'trace_an': 0}
-
id: 4426331
{'hecke_orbit_code': 68753031223, 'n': 53, 'trace_an': 0}
-
id: 4426332
{'hecke_orbit_code': 68753031223, 'n': 54, 'trace_an': 20}
-
id: 4426333
{'hecke_orbit_code': 68753031223, 'n': 55, 'trace_an': 3}
-
id: 4426334
{'hecke_orbit_code': 68753031223, 'n': 56, 'trace_an': -60}
-
id: 4426335
{'hecke_orbit_code': 68753031223, 'n': 57, 'trace_an': 0}
-
id: 4426336
{'hecke_orbit_code': 68753031223, 'n': 58, 'trace_an': 0}
-
id: 4426337
{'hecke_orbit_code': 68753031223, 'n': 59, 'trace_an': 18}
-
id: 4426338
{'hecke_orbit_code': 68753031223, 'n': 60, 'trace_an': -18}
-
id: 4426339
{'hecke_orbit_code': 68753031223, 'n': 61, 'trace_an': 20}
-
id: 4426340
{'hecke_orbit_code': 68753031223, 'n': 62, 'trace_an': 0}
-
id: 4426341
{'hecke_orbit_code': 68753031223, 'n': 63, 'trace_an': 0}
-
id: 4426342
{'hecke_orbit_code': 68753031223, 'n': 64, 'trace_an': -2}
-
id: 4426343
{'hecke_orbit_code': 68753031223, 'n': 65, 'trace_an': 0}
-
id: 4426344
{'hecke_orbit_code': 68753031223, 'n': 66, 'trace_an': -8}
-
id: 4426345
{'hecke_orbit_code': 68753031223, 'n': 67, 'trace_an': 0}
-
id: 4426346
{'hecke_orbit_code': 68753031223, 'n': 68, 'trace_an': 0}
-
id: 4426347
{'hecke_orbit_code': 68753031223, 'n': 69, 'trace_an': 14}
-
id: 4426348
{'hecke_orbit_code': 68753031223, 'n': 70, 'trace_an': 24}
-
id: 4426349
{'hecke_orbit_code': 68753031223, 'n': 71, 'trace_an': -6}
-
id: 4426350
{'hecke_orbit_code': 68753031223, 'n': 72, 'trace_an': 0}
-
id: 4426351
{'hecke_orbit_code': 68753031223, 'n': 73, 'trace_an': 0}
-
id: 4426352
{'hecke_orbit_code': 68753031223, 'n': 74, 'trace_an': 12}
-
id: 4426353
{'hecke_orbit_code': 68753031223, 'n': 75, 'trace_an': 15}
-
id: 4426354
{'hecke_orbit_code': 68753031223, 'n': 76, 'trace_an': 24}
-
id: 4426355
{'hecke_orbit_code': 68753031223, 'n': 77, 'trace_an': 0}
-
id: 4426356
{'hecke_orbit_code': 68753031223, 'n': 78, 'trace_an': 0}
-
id: 4426357
{'hecke_orbit_code': 68753031223, 'n': 79, 'trace_an': -28}
-
id: 4426358
{'hecke_orbit_code': 68753031223, 'n': 80, 'trace_an': 6}
-
id: 4426359
{'hecke_orbit_code': 68753031223, 'n': 81, 'trace_an': -8}
-
id: 4426360
{'hecke_orbit_code': 68753031223, 'n': 82, 'trace_an': 0}
-
id: 4426361
{'hecke_orbit_code': 68753031223, 'n': 83, 'trace_an': 0}
-
id: 4426362
{'hecke_orbit_code': 68753031223, 'n': 84, 'trace_an': 48}
-
id: 4426363
{'hecke_orbit_code': 68753031223, 'n': 85, 'trace_an': 2}
-
id: 4426364
{'hecke_orbit_code': 68753031223, 'n': 86, 'trace_an': -12}
-
id: 4426365
{'hecke_orbit_code': 68753031223, 'n': 87, 'trace_an': 0}
-
id: 4426366
{'hecke_orbit_code': 68753031223, 'n': 88, 'trace_an': 0}
-
id: 4426367
{'hecke_orbit_code': 68753031223, 'n': 89, 'trace_an': 6}
-
id: 4426368
{'hecke_orbit_code': 68753031223, 'n': 90, 'trace_an': -28}
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