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{'Nk2': 33856, 'analytic_conductor': 67.58538027081171, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [23, -1]], 'atkin_lehner_string': '--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8464, 1, [7407, 2117, 6353], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 14641, 'field_disc_factorization': [[11, 4]], 'field_poly': [-1, 3, 3, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 22, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-1, -7, -13, -5, 2, 1]], [5, [23, -35, 6, 13, -7, 1]], [7, [-23, -32, 4, 19, 8, 1]], [13, [-1, -2, 38, -9, -4, 1]]], 'hecke_orbit': 46, 'hecke_orbit_code': 202661983265235216, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8464.2.a.bt', 'level': 8464, '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, 23], 'level_radical': 46, 'minimal_twist': '23.2.c.a', 'nf_label': '5.5.14641.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(\\beta _{2}+\\beta _{4})q^{3}+(1+\\beta _{1}-\\beta _{2})q^{5}+(-2+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8464.2.a', 'trace_display': [0, -2, 7, -8], 'trace_hash': 1394443362966605759, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 1, 0, 1], [0, 0, 0, 0, 0], [1, 1, -1, 0, 0], [0, 0, 0, 0, 0], [-2, 0, -1, 1, 0], [0, 0, 0, 0, 0], [-1, 2, 0, 1, -1], [0, 0, 0, 0, 0], [-3, 1, 0, 0, -1], [0, 0, 0, 0, 0], [2, -2, 1, -1, 2], [0, 0, 0, 0, 0], [0, -1, 2, 0, 2], [0, 0, 0, 0, 0], [3, -1, 0, 1, -1], [0, 0, 0, 0, 0], [-2, 0, -2, -2, 0], [0, 0, 0, 0, 0], [0, 0, -1, -2, -2], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, -1, -2, 1], [0, 0, 0, 0, 0], [2, 0, -1, 1, -1], [0, 0, 0, 0, 0], [2, -2, 2, 2, 1], [0, 0, 0, 0, 0], [0, -2, 2, -1, 0], [0, 0, 0, 0, 0], [0, -1, -2, 1, -1], [0, 0, 0, 0, 0], [-1, -3, 1, 1, 1], [0, 0, 0, 0, 0], [-2, 1, 0, -1, -3], [0, 0, 0, 0, 0], [0, 2, -1, 0, -2], [0, 0, 0, 0, 0], [1, 1, 0, 0, -3], [0, 0, 0, 0, 0], [0, 1, 2, 0, -1], [0, 0, 0, 0, 0], [0, 1, 2, 1, -3], [0, 0, 0, 0, 0], [2, 1, -1, -1, 2], [0, 0, 0, 0, 0], [-2, 1, 1, -1, -2], [0, 0, 0, 0, 0], [-1, 0, 3, -2, 3], [0, 0, 0, 0, 0], [1, -5, -2, 1, 1], [0, 0, 0, 0, 0], [-3, -1, 3, 0, -3], [0, 0, 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[-8, -13, 5, -6, 8], [-1, -7, 8, -16, 6], [0, -8, -1, 5, 1], [4, -3, 5, -12, 7], [-15, 19, -8, 26, -11], [-23, 9, -2, 4, 1], [-4, 11, -8, 2, 5], [23, -19, 22, -4, 19], [9, -4, -1, -3, 16], [10, -23, 9, -10, 11], [-7, 15, 11, 8, -7], [-20, 15, -21, 8, -16], [-13, -9, -8, 4, -2], [15, -20, 16, -23, 20], [-17, -13, 9, -3, -4], [-7, 15, -7, 7, 7], [-19, 3, -10, -4, 1], [0, 11, 7, -7, -3], [15, -6, 12, -6, 10], [2, -9, 10, -11, 7], [7, -5, -5, -3, -14], [-24, 17, -14, 22, -23], [4, -7, 19, 0, 5], [0, -4, -4, 7, 9], [5, 7, 7, -20, 17], [-16, 15, -1, 8, 8], [-7, 14, -7, -5, -2], [-10, 11, -13, -9, -5], [31, -27, 18, -19, 28], [-3, 11, 5, 11, -8], [-5, -3, 6, 14, -2], [-8, 15, -26, 3, -3], [-9, 7, 5, 1, 12], [-35, 7, -10, 19, -1], [-5, 15, 2, -1, -14], [-15, 21, -26, 12, -16], [-11, 33, -14, 15, -16], [-6, -6, 14, -7, 1], [-21, 14, 9, 9, 7], [5, -22, 0, -6, 8], [-1, -10, -21, 1, 4], [6, 14, -24, 7, -13], [-16, 9, -3, -4, -4], [2, -6, 3, 2, 5], [13, 6, 9, -5, 3], [2, -1, -8, -1, -19], [-16, 1, -18, 18, 0], [0, 1, 0, -15, -6], [-25, 5, -4, 15, 4], [-16, 4, -2, -13, -20], [-15, 3, 0, -9, 4], [2, 13, 4, -6, -3], [13, -17, -5, 10, 4], [11, -12, -8, 6, 14], [-11, 20, -8, 17, -22], [0, -18, -1, -3, 8], [3, 6, 26, -10, 17], [-21, 3, 0, 27, -9], [0, -23, -5, 0, -7], [5, 15, -5, 1, 23], [-5, -4, -9, -5, -6], [-3, 12, -13, -8, 1], [12, -18, 2, -13, -10], [5, -22, 17, -11, -1], [28, -8, 18, -20, 13], [-18, -22, 18, -7, -3], [26, -3, 0, 7, 13], [-5, 5, -11, 14, -16], [-19, -20, -1, 10, -12], [13, -11, 20, -19, -11], [7, 12, 10, 16, -13], [-7, 5, -27, 0, 8], [13, 19, -20, 15, -12], [-7, -1, -8, -12, -4], [-20, 11, -38, 9, -10], [8, 11, 17, 1, -19], [-8, 9, -20, 9, -7], [8, 7, -1, -8, 25], [34, -18, 31, -22, 29], [-19, 27, -2, 17, 3], [12, -14, -6, 2, 2], [-10, -2, -16, 8, 20], [20, -12, -1, 11, -6], [-29, 21, -5, 20, -15], [13, 5, 4, 8, 27], [9, 15, -11, 10, -18], [28, -8, 0, 6, 15], [14, -6, -1, 4, -15], [-4, 16, -12, 21, -30], [32, -20, 15, -13, 18], [26, -2, -1, -1, 10], [13, -16, 2, 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[-33, 26, -44, 29, -28], [-21, 20, -13, 17, -9], [-9, -9, -28, 15, 10], [-10, -1, -3, -16, -30], [12, 0, 26, 11, -6], [16, -26, -4, 14, 15], [-21, 23, 12, 24, -7], [-12, -10, 17, -6, -7], [-30, 10, -27, 34, -33], [1, 7, 4, -11, -3], [34, -9, 6, -4, 25], [6, -26, 16, -27, 17], [-14, 25, -19, -20, -9], [-19, -12, 1, -28, 18], [1, 27, 4, 0, 14], [-30, 4, -6, -13, -19], [-26, 5, 1, 37, -10], [3, -28, 3, -11, 24], [34, -9, 26, -39, 31], [27, -19, 14, -14, 23], [24, -43, 2, 0, 15], [19, -4, 14, 8, 16], [17, -5, -27, 3, -10], [22, -31, 16, -6, 9], [-4, 7, 21, 5, 18], [31, 0, 3, -6, 21], [-5, -20, -8, 0, 19], [19, 6, 10, -12, -17], [8, -7, -33, 6, -13], [4, 29, -22, 26, -25], [-8, 7, -10, 27, -12], [-18, 27, -11, -11, -3], [23, 24, -20, 4, -13], [23, -28, 20, -27, 23], [-28, 14, -26, 14, -6], [-23, 6, 27, 1, 13], [-37, 13, -26, 30, -30], [20, -12, 0, 11, 10], [12, 11, -9, 7, -29], [-7, 4, 6, 6, -23], [-15, 16, 9, 25, -6], [4, -13, 24, -27, -10], [-5, 24, -23, 26, 12], [-2, 12, 5, -5, -16], [-35, 16, -13, -5, -21], [3, -18, -7, 3, 4], [-18, -6, 14, 6, 5], [18, 3, 29, -20, 34], [12, 25, -15, -11, -4], [51, 2, 8, -8, 11], [23, -27, 31, -7, 22], [10, 9, -10, -10, 6], [15, 19, -25, 9, -15], [21, -24, 36, -35, 8], [-8, 13, 9, -5, 33], [2, -21, 26, -7, 2], [15, 30, -15, 20, 7], [17, -40, 13, -38, 8], [-39, 13, -18, 44, -25], [2, -30, -11, 0, 17], [10, 26, -26, 6, -14], [1, 52, -21, 23, -24], [12, -42, 0, -7, 13], [-1, 7, 0, 27, -16], [25, -13, 32, -2, 12], [-16, 24, -25, -1, -28], [-10, 7, -23, 29, -36], [-7, -20, 13, -14, -4], [-21, 3, -25, -24, 12], [-1, 34, 1, 5, -5], [-4, -9, 7, -7, 29], [0, 25, -20, 22, -6], [23, -36, 15, -48, 10], [-13, 10, -2, -2, 8], [-33, 17, -12, 57, -13], [34, 8, 26, -21, 27], [-7, 24, -12, 27, 3], [1, -7, -8, 6, 4], [-29, 11, -16, 36, -11], [-7, -33, 0, 0, -6], [-41, 0, -3, 4, 7], [34, -13, 39, -41, 4], [-37, -1, -18, 35, -17], [19, -18, 15, -5, -18], [27, -27, 31, -29, 36], [6, -25, 0, -28, -11], [-18, 21, -16, -7, -30], [5, -13, -19, -8, -19], [11, 13, -25, -3, -14], [-15, 17, -26, -5, -25], [-13, 14, -3, 51, -7], [31, 9, 32, -5, -16], [56, 10, 0, -1, -6], [-26, 22, 7, 27, 13], [30, -13, 22, 6, 8], [-3, 13, -11, 46, -1], [14, -6, 25, 4, 26], [-4, 24, 5, 3, 11], [-18, -3, 2, -33, 5], [-17, 13, -30, 12, 18], [9, -1, 26, -33, 15], [26, 18, 4, -8, 24], [-22, -19, 5, -7, 2], [-20, 10, -25, 22, -46], [-24, 7, -36, 3, 5], [-28, -11, 18, 11, -4], [-33, -10, 17, 0, 19], [-9, -8, 17, 8, -1], [9, 28, -11, -13, 14], [-17, 32, -10, 45, -12], [-17, -13, 43, -6, 24], [-3, -32, 12, -11, -7], [14, -13, 23, -22, -19], [-36, -1, -16, -3, 21], [-14, 30, 6, -2, 5], [38, -27, -4, 5, 24], [-4, -16, 10, -12, -26], [8, 6, 13, -7, 5], [-5, 48, -40, 38, -41], [-11, 5, -16, 19, -28], [0, -4, 5, 3, 7], [10, 7, 22, -21, 22], [42, -36, 25, -41, 36], [-32, -19, 27, 3, 9], [18, -16, -6, 16, -24], [-22, -8, 4, 4, -22], [-2, -37, 10, -39, 33], [-29, -2, -2, 7, 0], [-9, 21, -29, 11, 5], [15, -39, 44, -23, 44], [2, -7, 9, -24, 47], [-14, -14, 19, -30, 13], [55, -9, 30, -34, 25], [13, -11, 36, -9, 49], [47, -18, 1, -1, 8], [37, -22, -1, -28, -19], [21, 3, 5, -15, -26], [6, 21, 19, -4, 32], [17, -13, 27, 13, 7], [-22, -2, -19, 25, 13], [-51, 14, -37, 28, -16], [21, -42, 2, -12, 15], [0, -21, 5, -40, 24], [-2, -1, -9, 25, -19], [-20, 50, -7, 21, -32], [29, -21, -8, 15, 10], [-28, 19, -7, -16, -7], [18, -15, 26, -30, 17], [30, -19, -1, -1, 37], [-2, 30, -10, 37, -4], [-21, 12, 2, 28, -10], [-15, 8, -45, 16, -24], [55, -30, 13, -15, 25], [11, 21, -4, 13, -22], [28, -34, -5, -19, 16], [2, -3, -8, -20, 23], [-20, -18, 25, -7, 11], [10, 25, -18, 28, 10], [-33, -8, -11, 18, 3], [-23, 30, -40, -10, -12], [-5, -11, 0, -25, 29], [-41, -1, -22, 12, -4], [14, 16, 12, 19, 6], [41, 10, 1, 26, 5], [4, -21, 12, -2, -21], [-53, 8, -24, 10, -10], [-6, -29, -1, 13, -1], [6, 38, -34, 18, -7], [-13, 2, -17, 38, -20], [-27, 9, 1, 11, 21], [14, -17, -18, -7, 25], [22, -33, -7, -8, 39], [-39, 37, -45, 15, -39], [3, 31, 23, -22, 4], [13, 8, -21, 25, 33], [-63, 19, -10, 18, -22], [-61, 14, -10, 2, -25], [-6, -24, -17, 22, -17], [7, -5, 17, -9, 19], [-40, 53, -28, 55, -29], [-20, 26, 15, 31, -18], [19, -28, 11, 3, 14], [-31, 16, -49, 9, -6], [-3, 5, -23, 34, -6], [-40, 4, 29, -12, -10], [-1, 0, -8, -7, 1], [-13, -9, -3, -26, -38]], 'char_orbit_index': 1, 'field_poly': [-1, 3, 3, -4, -1, 1], 'hecke_orbit_code': 202661983265235216, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [2, 0, 1, 0, 0], [0, 3, 0, 1, 0], [6, 0, 4, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [-2, 0, 1, 0, 0], [0, -3, 0, 1, 0], [2, 0, -4, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 5, 'label': '8464.2.a.bt', 'level': 8464, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [60, 66, 61, 55], 'ALdims_eis_new': [0, 0, 10, 11], 'ALdims_eis_old': [35, 36, 26, 25], 'ALdims_old': [193, 198, 203, 197], 'Nk2': 33856, 'analytic_conductor': 67.58538027081171, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8464, 1, [7407, 2117, 6353], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1033, 'dim': 242, 'eis_dim': 143, 'eis_new_dim': 21, 'hecke_cutter_primes': [3, 5, 7, 13], 'hecke_orbit_code': 33562896, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 8, 8, 8, 10, 10, 12, 15, 15, 15, 15], 'label': '8464.2.a', 'level': 8464, '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, 23], 'level_radical': 46, 'mf_dim': 1176, 'mf_new_dim': 263, 'num_forms': 62, 'plus_dim': 115, 'prim_orbit_index': 1, 'relative_dim': 242, 'sturm_bound': 2208, 'trace_bound': 13, 'trace_display': [0, -2, 2, -4], 'traces': [242, 0, -2, 0, 2, 0, -4, 0, 224, 0, 0, 0, 2, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 204, 0, -8, 0, 2, 0, -10, 0, 8, 0, 0, 0, 10, 0, -20, 0, -6, 0, 0, 0, 10, 0, 44, 0, 176, 0, -4, 0, 10, 0, 24, 0, -8, 0, -2, 0, 18, 0, -32, 0, -12, 0, 8, 0, 0, 0, 6, 0, 2, 0, -6, 0, 8, 0, -28, 0, 162, 0, 20, 0, 12, 0, 40, 0, -6, 0, -4, 0, -22, 0, -8, 0, -6, 0, 8, 0, 18, 0, 36, 0, 24, 0, 28, 0, 10, 0, 24, 0, 10, 0, 0, 0, 34, 0, 36, 0, 136, 0, 16, 0, 12, 0, -30, 0, 0, 0, 34, 0, -16, 0, -16, 0, -22, 0, -32, 0, 24, 0, -16, 0, -20, 0, 8, 0, -14, 0, 10, 0, 2, 0, 48, 0, -22, 0, -28, 0, 0, 0, -14, 0, 24, 0, -22, 0, 92, 0, 56, 0, 18, 0, -52, 0, -24, 0, -66, 0, -22, 0, 12, 0, -10, 0, 16, 0, -8, 0, 16, 0, -14, 0, -88, 0, 2, 0, 0, 0, 0, 0, -52, 0, -28, 0, 0, 0, 0, 0, -46, 0, -8, 0, -12, 0, -16, 0, 44, 0, 4, 0, -98, 0, 162, 0, 12, 0, -30, 0, 86, 0, -6, 0, 16, 0, -48, 0, 54, 0, 26, 0, -6, 0, -6, 0, -68, 0, 48, 0, 76, 0, 0, 0, 110, 0, 2, 0, -4, 0, 10, 0, -20, 0, -12, 0, 96, 0, -62, 0, 62, 0, 24, 0, -40, 0, -28, 0, -26, 0, 26, 0, -16, 0, -66, 0, 60, 0, 52, 0, 28, 0, -62, 0, 104, 0, 48, 0, 0, 0, -16, 0, 100, 0, -12, 0, 2, 0, -64, 0, 26, 0, -14, 0, 160, 0, 66, 0, -56, 0, 32, 0, -98, 0, 22, 0, -8, 0, 80, 0, -94, 0, 42, 0, 8, 0, 18, 0, 124, 0, 32, 0, -32, 0, 0, 0, 38, 0, -22, 0, -12, 0, -6, 0, 88, 0, -56, 0, -76, 0, 64, 0, -74, 0, -20, 0, 44, 0, 20, 0, 206, 0, 18, 0, 8, 0, 12, 0, -72, 0, -80, 0, -40, 0, 24, 0, -192, 0, -6, 0, 0, 0, 32, 0, -92, 0, -22, 0, -24, 0, 82, 0, 12, 0, -6, 0, -132, 0, -54, 0, 64, 0, 16, 0, 94, 0, 0, 0, 64, 0, 82, 0, 216, 0, -10, 0, 28, 0, 8, 0, -104, 0, -62, 0, 16, 0, 0, 0, 30, 0, 82, 0, 86, 0, 4, 0, -84, 0, 74, 0, 136, 0, 48, 0, 84, 0, -14, 0, -124, 0, -44, 0, -34, 0, -8, 0, -36, 0, 24, 0, 104, 0, 64, 0, 36, 0, -14, 0, 108, 0, -52, 0, 0, 0, -114, 0, 130, 0, 24, 0, 14, 0, 124, 0, 190, 0, -8, 0, 142, 0, -112, 0, -68, 0, -60, 0, -84, 0, -86, 0, -36, 0, -72, 0, -164, 0, -64, 0, 12, 0, -30, 0, 100, 0, 8, 0, -76, 0, 0, 0, -14, 0, 36, 0, -20, 0, -32, 0, 56, 0, 74, 0, -192, 0, -44, 0, -86, 0, -30, 0, 68, 0, -70, 0, 96, 0, -62, 0, 32, 0, -58, 0, -32, 0, 60, 0, -76, 0, -54, 0, -116, 0, -16, 0, 0, 0, -70, 0, -152, 0, 8, 0, -32, 0, -92, 0, -102, 0, 64, 0, -220, 0, 50, 0, 72, 0, -64, 0, 180, 0, 18, 0, 104, 0, -62, 0, 142, 0, 96, 0, -44, 0, 26, 0, -176, 0, 26, 0, 16, 0, 0, 0, 0, 0, -82, 0, 218, 0, -52, 0, -128, 0, -72, 0, 176, 0, 10, 0, 138, 0, 26, 0, -96, 0, -70, 0, -110, 0, 16, 0, -44, 0, -22, 0, 200, 0, -70, 0, 44, 0, 26, 0, 244, 0, 96, 0, 0, 0, -88, 0, 144, 0, -62, 0, -16, 0, -94, 0, 0, 0, -8, 0, 170, 0, 36, 0, -96, 0, 68, 0, -36, 0, -58, 0, -56, 0, 76, 0, -30, 0, 34, 0, -64, 0, 40, 0, 112, 0, 58, 0, -80, 0, 0, 0, 66, 0, -56, 0, -58, 0, -8, 0, 184, 0, -58, 0, -232, 0, 80, 0, -104, 0, 42, 0, 104, 0, -30, 0, 74, 0, 112, 0, 100, 0, -28, 0, -192, 0, -48, 0, 48, 0, 48, 0, -168, 0, 98, 0, 0, 0, 2, 0, -128, 0, 84, 0, 222, 0, 90, 0, -12, 0, 42, 0, -238, 0, -120, 0, 148, 0, 72, 0, 222, 0, -92, 0, 32, 0, 48, 0, 232, 0, -116, 0, 32, 0, 42, 0, -124, 0, -102, 0, 96, 0, 0, 0, -32, 0, 74, 0, -10, 0, 16, 0, -80, 0, 48, 0, 272, 0, 66, 0, 110, 0, -16, 0, -24, 0, 20, 0, -92, 0, -38, 0, -16, 0, -82, 0, 60, 0, 12, 0, -36, 0, 182, 0, 260, 0, -112, 0, 0, 0, 90, 0, 180, 0, -70, 0, 22, 0, 152, 0, 90, 0, 36, 0, 246, 0, -96, 0, -120, 0, -78, 0, -230, 0, 10, 0, -104, 0, -126, 0, -78, 0, -32, 0, 42, 0, -64, 0, 136, 0, -128, 0, -24, 0, 0, 0, 4, 0, 68, 0, -64, 0, 12, 0, 100, 0, -236, 0, -204, 0, -104, 0, 182, 0, -24, 0, 108, 0, -86, 0, 72, 0, 30, 0, 24, 0, 2, 0, -196, 0, 88, 0, -136, 0, -54, 0, -264, 0, -94, 0, 0, 0, -78, 0, -90, 0, -20, 0, 64, 0, -142, 0, 0, 0, -16, 0, -208, 0, 0, 0, 112, 0, -92, 0, 100, 0, 72, 0, 36, 0, -152, 0, 270, 0, 74, 0, 32, 0, -78, 0, -124, 0, 60, 0, 100, 0, 0, 0, 22, 0, -96, 0, 124, 0, 66, 0, -184, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1393006
{'conductor': 92, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '8464.2.a.bt', 'source_level': 8464, 'target_char_orbit': 3, 'target_dim': 10, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '23.2.c.a', 'target_level': 23, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '92.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1393007
{'conductor': 276, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '8464.2.a.bt', 'source_level': 8464, 'target_char_orbit': 9, 'target_dim': 10, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '207.2.i.c', 'target_level': 207, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '276.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1393008
{'conductor': 23, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '8464.2.a.bt', 'source_level': 8464, 'target_char_orbit': 13, 'target_dim': 10, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '368.2.m.c', 'target_level': 368, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '23.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1393009
{'conductor': 92, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '8464.2.a.bt', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '529.2.a.i', 'target_level': 529, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '92.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1393010
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '8464.2.a.bt', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '529.2.a.j', 'target_level': 529, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1393011
{'conductor': 92, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '8464.2.a.bt', 'source_level': 8464, 'target_char_orbit': 3, 'target_dim': 10, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '529.2.c.a', 'target_level': 529, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '92.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1393012
{'conductor': 92, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '8464.2.a.bt', 'source_level': 8464, 'target_char_orbit': 3, 'target_dim': 10, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '529.2.c.b', 'target_level': 529, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '92.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1393013
{'conductor': 92, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '8464.2.a.bt', 'source_level': 8464, 'target_char_orbit': 3, 'target_dim': 10, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '529.2.c.c', 'target_level': 529, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '92.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1393014
{'conductor': 92, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '8464.2.a.bt', 'source_level': 8464, 'target_char_orbit': 3, 'target_dim': 10, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '529.2.c.d', 'target_level': 529, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '92.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1393015
{'conductor': 92, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '8464.2.a.bt', 'source_level': 8464, 'target_char_orbit': 3, 'target_dim': 10, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '529.2.c.e', 'target_level': 529, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '92.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1393016
{'conductor': 92, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '8464.2.a.bt', 'source_level': 8464, 'target_char_orbit': 3, 'target_dim': 10, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '529.2.c.f', 'target_level': 529, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '92.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1393017
{'conductor': 92, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '8464.2.a.bt', 'source_level': 8464, 'target_char_orbit': 3, 'target_dim': 10, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '529.2.c.g', 'target_level': 529, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '92.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1393018
{'conductor': 92, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '8464.2.a.bt', 'source_level': 8464, 'target_char_orbit': 3, 'target_dim': 10, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '529.2.c.h', 'target_level': 529, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '92.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1393019
{'conductor': 92, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '8464.2.a.bt', 'source_level': 8464, 'target_char_orbit': 3, 'target_dim': 10, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '529.2.c.i', 'target_level': 529, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '92.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1393020
{'conductor': 460, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '8464.2.a.bt', 'source_level': 8464, 'target_char_orbit': 11, 'target_dim': 10, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '575.2.k.b', 'target_level': 575, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '460.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 1393021
{'conductor': 460, 'degree': 20, 'multiplicity': 4, 'order': 44, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '8464.2.a.bt', 'source_level': 8464, 'target_char_orbit': 16, 'target_dim': 20, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '575.2.p.b', 'target_level': 575, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '460.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 1393022
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '8464.2.a.bt', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '4761.2.a.bn', 'target_level': 4761, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1393023
{'conductor': 276, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '8464.2.a.bt', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '4761.2.a.bo', 'target_level': 4761, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '276.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1393024
{'conductor': 23, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '8464.2.a.bt', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '8464.2.a.bs', 'target_level': 8464, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '23.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1393025
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '8464.2.a.bt', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '8464.2.a.bt', 'target_level': 8464, 'twist_class_label': '23.2.c.a', 'twist_class_level': 23, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4761825
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 202661983265235216, 'p': 2}
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id: 4761826
{'charpoly_factorization': [[[-1, -7, -13, -5, 2, 1], 1]], 'hecke_orbit_code': 202661983265235216, 'p': 3}
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id: 4761827
{'charpoly_factorization': [[[23, -35, 6, 13, -7, 1], 1]], 'hecke_orbit_code': 202661983265235216, 'p': 5}
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id: 4761828
{'charpoly_factorization': [[[-23, -32, 4, 19, 8, 1], 1]], 'hecke_orbit_code': 202661983265235216, 'p': 7}
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id: 4761829
{'charpoly_factorization': [[[-23, 70, 119, 61, 13, 1], 1]], 'hecke_orbit_code': 202661983265235216, 'p': 11}
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id: 4761830
{'charpoly_factorization': [[[-1, -2, 38, -9, -4, 1], 1]], 'hecke_orbit_code': 202661983265235216, 'p': 13}
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id: 4761831
{'charpoly_factorization': [[[-23, 148, -186, 87, -16, 1], 1]], 'hecke_orbit_code': 202661983265235216, 'p': 17}
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id: 4761832
{'charpoly_factorization': [[[736, -96, -184, -4, 10, 1], 1]], 'hecke_orbit_code': 202661983265235216, 'p': 19}
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id: 4761833
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 202661983265235216, 'p': 23}
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id: 4761834
{'charpoly_factorization': [[[-2221, 9, 347, -42, -7, 1], 1]], 'hecke_orbit_code': 202661983265235216, 'p': 29}
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id: 4761835
{'charpoly_factorization': [[[-131, -215, -111, -12, 5, 1], 1]], 'hecke_orbit_code': 202661983265235216, 'p': 31}
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id: 4761836
{'charpoly_factorization': [[[-23, -618, -325, -31, 7, 1], 1]], 'hecke_orbit_code': 202661983265235216, 'p': 37}
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id: 4761837
{'charpoly_factorization': [[[43, -150, 119, -5, -9, 1], 1]], 'hecke_orbit_code': 202661983265235216, 'p': 41}
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id: 4761838
{'charpoly_factorization': [[[-253, 220, 22, -33, 0, 1], 1]], 'hecke_orbit_code': 202661983265235216, 'p': 43}
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id: 4761839
{'charpoly_factorization': [[[-1, -106, 97, -5, -9, 1], 1]], 'hecke_orbit_code': 202661983265235216, 'p': 47}
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id: 4761840
{'charpoly_factorization': [[[-22747, 6164, 442, -159, -2, 1], 1]], 'hecke_orbit_code': 202661983265235216, 'p': 53}
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id: 4761841
{'charpoly_factorization': [[[-67, -1062, 375, 32, -16, 1], 1]], 'hecke_orbit_code': 202661983265235216, 'p': 59}
-
id: 4761842
{'charpoly_factorization': [[[-23, 526, -182, -119, -4, 1], 1]], 'hecke_orbit_code': 202661983265235216, 'p': 61}
-
id: 4761843
{'charpoly_factorization': [[[-33373, -160, 1495, -45, -17, 1], 1]], 'hecke_orbit_code': 202661983265235216, 'p': 67}
-
id: 4761844
{'charpoly_factorization': [[[23, -79, 83, -20, -7, 1], 1]], 'hecke_orbit_code': 202661983265235216, 'p': 71}
-
id: 4761845
{'charpoly_factorization': [[[-991, -1696, -281, 68, 18, 1], 1]], 'hecke_orbit_code': 202661983265235216, 'p': 73}
-
id: 4761846
{'charpoly_factorization': [[[22747, -3197, -2345, -148, 13, 1], 1]], 'hecke_orbit_code': 202661983265235216, 'p': 79}
-
id: 4761847
{'charpoly_factorization': [[[-23, -95, -90, -5, 13, 1], 1]], 'hecke_orbit_code': 202661983265235216, 'p': 83}
-
id: 4761848
{'charpoly_factorization': [[[-279841, 22218, 4163, -295, -15, 1], 1]], 'hecke_orbit_code': 202661983265235216, 'p': 89}
-
id: 4761849
{'charpoly_factorization': [[[1541, -3240, -1530, -111, 16, 1], 1]], 'hecke_orbit_code': 202661983265235216, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 46, 'label': '8464.2.a.bt', 'level': 8464, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71204623
{'hecke_orbit_code': 202661983265235216, 'n': 1, 'trace_an': 5}
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id: 71204624
{'hecke_orbit_code': 202661983265235216, 'n': 2, 'trace_an': 0}
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id: 71204625
{'hecke_orbit_code': 202661983265235216, 'n': 3, 'trace_an': -2}
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id: 71204626
{'hecke_orbit_code': 202661983265235216, 'n': 4, 'trace_an': 0}
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id: 71204627
{'hecke_orbit_code': 202661983265235216, 'n': 5, 'trace_an': 7}
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id: 71204628
{'hecke_orbit_code': 202661983265235216, 'n': 6, 'trace_an': 0}
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id: 71204629
{'hecke_orbit_code': 202661983265235216, 'n': 7, 'trace_an': -8}
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id: 71204630
{'hecke_orbit_code': 202661983265235216, 'n': 8, 'trace_an': 0}
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id: 71204631
{'hecke_orbit_code': 202661983265235216, 'n': 9, 'trace_an': -1}
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id: 71204632
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