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{'Nk2': 34596, 'analytic_conductor': 69.0626127082054, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [31, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8649, 1, [3845, 964], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 2051578125, 'field_disc_factorization': [[3, 4], [5, 6], [1621, 1]], 'field_poly': [1, 6, -11, -28, 14, 19, -9, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-9, -27, 15, 63, 19, -23, -10, 2, 1]], [5, [-279, -612, -57, 411, 115, -69, -22, 3, 1]], [7, [261, -162, -435, 153, 184, -38, -25, 2, 1]], [11, [-279, 594, -51, -852, 964, -489, 131, -18, 1]], [13, [-279, 1296, 2064, 627, -281, -161, -4, 8, 1]]], 'hecke_orbit': 32, 'hecke_orbit_code': 139611588482048457, 'hecke_ring_generator_nbound': 7, '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': '8649.2.a.bf', 'level': 8649, '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': [3, 31], 'level_radical': 93, 'minimal_twist': '31.2.g.a', 'nf_label': '8.8.2051578125.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1-\\beta _{3}+\\beta _{5})q^{2}+(1+\\beta _{1}-\\beta _{6}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 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6, 1, -31, -9], [-3, 3, -15, 15, -3, -18, -6, 21], [1, -1, -12, -19, 12, 17, -5, 13], [24, 9, 10, -13, -5, 4, -9, -19], [-12, 19, -13, -9, 26, 7, -6, -3], [9, -15, 7, -22, 0, 29, -1, -8], [-49, 3, -8, -18, 21, 21, 8, -10], [-10, 7, 9, 5, 10, -6, 3, -14], [43, 6, 1, 6, 4, -42, -15, -16], [37, 5, -4, -3, 3, -45, -11, -11], [-6, -7, -16, -19, -1, 16, -23, -10], [20, -12, 1, -8, -3, -3, -2, -3], [23, -2, 5, 0, -22, 2, 15, 14], [22, 14, 12, 11, -13, -33, 6, 9], [-6, 11, 3, -12, 12, 8, -8, -12], [1, 6, 13, 7, -8, -9, 27, 11], [-20, -1, -5, -5, 7, 0, 19, -3], [6, -4, -5, -2, 29, 23, -14, -14], [13, 10, -6, 7, -12, -25, -18, -2], [27, 17, 2, 2, 11, -32, -26, -14], [25, 3, -16, 0, 24, 15, -6, -4], [-38, -5, 12, 16, -16, 9, 40, 14], [7, -12, 17, -2, 1, 32, 22, -5], [-5, 11, -10, 3, 20, -6, -19, -6], [-36, 16, 1, -8, 0, -1, 7, -6], [0, 36, 0, -11, -2, -32, 4, -16], [-28, 11, -7, 15, 2, -12, 2, 11], [19, -2, 1, -6, 23, 5, 13, -5], [-16, 0, -19, 8, 14, 29, -3, -6], [4, -12, 3, 17, 8, 9, -6, 1], [4, 3, 14, -14, -5, 11, 26, -2], [-19, -3, -7, 11, -6, 16, 6, 21], [-6, 10, -7, 9, -14, -36, 19, 11], [16, 14, 9, 12, -7, 3, 32, 17], [29, -19, 10, 4, -11, -10, -1, 3], [17, -4, -1, -5, 12, -26, -9, 0], [-7, 2, -2, 5, -9, -33, -7, -6], [26, 0, 7, 11, 3, -28, -23, 0], [-9, -9, -5, -7, -7, -12, 3, -13], [-27, -6, 3, -11, -4, 16, -32, -1], [15, 3, -3, -12, 4, -17, 0, 3], [36, 0, 23, 18, 12, -17, -8, -5], [17, 2, -14, -13, 12, -1, -22, -11], [-15, -6, -9, 8, -25, -2, 5, 10], [9, -13, -11, 7, 8, -3, -32, 3], [6, 5, 12, 28, -14, -13, 10, 4], [-12, -3, -7, -8, -21, -2, 15, 9], [-7, -2, -6, 7, 5, -10, 2, 17], [12, -1, -14, 16, -13, -16, -5, 30], [-24, 4, -10, -11, 6, 7, 2, -9], [1, 2, 13, 5, 18, 7, 7, -15], [-2, 9, -22, -11, -15, 0, -20, -5], [0, -12, 11, 0, -13, -1, 31, 10], [-9, -19, -3, 5, 9, -4, 6, 7], [-14, -5, -4, 20, -13, 16, 16, 18], [13, -5, 7, -10, 29, 14, 3, -25], [-8, -15, -6, 2, 9, 41, 7, 16], [-8, 5, -1, -27, 22, 13, -1, -4], [14, 3, -20, -14, 0, 18, 0, 20], [11, 0, 12, -8, 2, -13, -2, -9], [-12, 0, 9, -5, 13, 16, 4, 14], [11, 13, 5, 13, 0, -17, -5, -17], [-1, -5, -2, -1, -31, -14, 1, 20], [0, 0, 0, -11, 24, -25, -26, -16], [14, 1, 4, 4, 21, -12, -4, 1], [-20, 10, -22, 5, -13, -11, -17, 18], [14, 7, -18, -13, 4, 3, -24, -8], [30, 10, 2, 18, -17, -9, 4, 17], [-9, -4, 0, -9, 25, 41, 7, -9], [-25, -10, -16, 8, -23, -8, -8, 0], [-3, -6, -17, -4, 1, 27, -2, 12], [19, -20, 19, -1, -10, 14, 11, -2], [6, 21, 4, -2, -10, -30, -16, -9], [-11, -1, -5, -11, 35, 20, -11, -27], [-20, -3, 28, -4, 22, 41, 31, -4], [-24, -3, -7, -9, 9, 13, -1, -2], [-33, -8, 14, -4, -4, 17, 9, 3], [29, -12, 11, 17, -3, -2, 15, 33], [-41, -5, -3, 15, -1, -1, -13, -1], [-38, -4, -5, 3, -8, -3, -6, 13], [17, 4, -34, -4, -2, 22, -12, 3], [9, 3, -12, 7, 23, 22, -11, -10], [30, 6, -25, 0, 12, -8, -19, -10], [-24, 10, -1, 3, 5, 10, 9, -2], [-50, -15, -9, 1, -19, 9, 20, 13], [-10, 8, -16, -9, 3, 5, 8, 8], [13, -4, 16, 7, 3, -5, -3, 8], [-6, 18, -13, 3, 6, -8, -19, 1], [-2, 4, 7, -9, 11, -13, 16, -26], [-27, 9, -17, 5, -2, 9, 10, 3], [27, -19, -5, -17, -15, -10, -27, -12], [-47, 8, -6, -17, -18, 8, -3, 2], [5, -18, 2, -5, 4, 12, 14, -23], [-5, -13, -7, -8, -5, -4, -9, 8], [34, 20, -6, 16, -35, -60, -1, 10], [32, 17, -20, 3, -8, -13, -14, 1], [22, 3, 24, -13, 24, -1, 1, -32], [-16, -8, 13, 14, -24, 23, 18, 27], [25, 7, -12, 0, -10, 8, -16, -1], [8, -18, 4, -10, -31, -8, 4, 10], [2, -3, 18, 21, 21, -3, 9, -6], [-12, 1, -6, 9, 28, 17, 4, -7], [-21, -24, 10, -1, -19, 45, 18, 29], [15, 19, 6, 27, 0, -36, 9, -6], [-23, -15, 1, 17, 12, 19, 18, 25], [42, 3, -10, 5, 24, -21, -15, -16], [-31, -6, 19, -4, -7, 27, 4, 13], [-22, -20, -7, -20, 2, 6, -8, -5], [-24, 22, -11, -9, -1, 8, -20, 2], [-3, -9, -7, 6, -15, 13, -25, 14], [-20, 1, 17, 29, -8, -8, 8, 7], [7, 20, 20, -14, 12, -15, 0, -4], [-51, 9, 13, -11, 7, 52, 20, 11], [2, 6, 25, 5, -26, -1, 2, -7], [14, 28, -7, 11, 4, -14, -25, -3], [-31, 16, 6, -19, 6, 3, -11, -5], [3, -6, 12, 10, 8, -17, -5, 4], [14, 23, 0, 11, 20, 5, -1, -11], [1, 4, 0, -27, 12, 1, -34, -16], [-4, -1, -5, -2, 32, 1, -25, -15], [0, 1, 3, 18, 11, -26, -7, -7], [12, 34, 2, -8, 10, -27, -13, -14], [-37, 18, 20, -1, 9, 11, 25, -17], [15, -13, 18, -12, -16, -21, -14, -7], [1, 18, 4, -3, 1, -24, -13, -9], [-7, 0, 0, 10, -26, -18, 0, -10], [13, 8, -1, -10, -19, -5, 6, -9], [-14, 17, -2, -4, -20, -10, -25, -14], [-7, 2, 3, 18, 3, 7, -6, -12], [45, -6, 1, -7, 5, 0, 6, -4], [-27, 8, -5, -31, -13, 27, 13, -1], [-16, -10, 13, 17, -12, 27, 11, 9], [-14, 5, -20, 12, -7, 2, 23, 21], [-37, -19, 23, 21, -8, 22, 31, 13], [4, -4, 7, -16, 2, -37, -15, 5], [-4, -1, -1, -16, 3, 20, 21, 2], [-26, -7, -22, -27, 20, 4, -17, -10], [-40, -15, 2, -2, 29, 60, 26, 10], [34, -17, 10, 12, 10, 8, 10, 16], [37, -10, -3, 2, 24, -16, -24, -9]], 'char_orbit_index': 1, 'field_poly': [1, 6, -11, -28, 14, 19, -9, -2, 1], 'hecke_orbit_code': 139611588482048457, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 3, 3, 3, 3, 3, 3], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [3, 0, 0, -1, 1, 0, -1, 0], [-1, 5, -1, 1, -2, 0, 0, 1], [17, -3, 2, -6, 7, 0, -6, 0], [-15, 30, -7, 10, -19, -1, 3, 8], [108, -36, 19, -40, 49, 0, -38, -2], [-150, 195, -49, 83, -150, -7, 38, 55]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [1, 5, 4, 2, -7, 0, 1, 0], [4, -11, -1, 1, -9, 7, 1, -1], [1, -1, -26, -4, 17, 0, -2, 0], [3, -14, -4, 25, 2, -10, 0, 1], [6, 10, -28, -5, 26, -7, -3, 1], [2, -1, -47, -4, 36, -7, -4, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '8649.2.a.bf', 'level': 8649, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [69, 85, 113, 105], 'ALdims_eis_new': [0, 0, 14, 15], 'ALdims_eis_old': [31, 32, 18, 17], 'ALdims_old': [156, 155, 127, 119], 'Nk2': 34596, 'analytic_conductor': 69.0626127082054, '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': [8649, 1, [3845, 964], [1, 1]], 'conrey_index': 1, 'cusp_dim': 929, 'dim': 372, 'eis_dim': 127, 'eis_new_dim': 29, 'hecke_cutter_primes': [2, 5, 7, 11, 13], 'hecke_orbit_code': 33563081, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12, 12, 12, 16, 16, 16, 24, 24, 24, 32], 'label': '8649.2.a', 'level': 8649, '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': [3, 31], 'level_radical': 93, 'mf_dim': 1056, 'mf_new_dim': 401, 'num_forms': 49, 'plus_dim': 174, 'prim_orbit_index': 1, 'relative_dim': 372, 'sturm_bound': 1984, 'trace_bound': 13, 'trace_display': [-2, 0, -4, -4], 'traces': [372, -2, 0, 354, -4, 0, -4, -6, 0, 4, -4, 0, 0, 12, 0, 326, 0, 0, -12, 2, 0, 10, -6, 0, 304, -4, 0, 4, 4, 0, 0, 16, 0, 24, 10, 0, -6, 32, 0, 48, 0, 0, 6, -6, 0, -6, 18, 0, 264, 28, 0, 62, -22, 0, 36, 24, 0, 50, 16, 0, -12, 0, 0, 310, -26, 0, 26, 30, 0, 100, 4, 0, -30, -4, 0, -8, -4, 0, -14, 18, 0, 6, -16, 0, -34, -28, 0, 20, -12, 0, 6, 36, 0, -26, 18, 0, -36, -48, 0, 190, -42, 0, 34, 32, 0, -54, 30, 0, -44, -2, 0, -26, -26, 0, 58, -64, 0, -50, -62, 0, 164, 40, 0, 0, -24, 0, 8, 114, 0, -54, 60, 0, 54, 26, 0, 20, 40, 0, -4, 132, 0, -54, 46, 0, -38, -32, 0, 8, 18, 0, 6, -2, 0, -14, 0, 0, 6, -32, 0, 62, 22, 0, 4, -52, 0, -82, 0, 0, 166, -46, 0, -82, 24, 0, 6, -94, 0, 82, 2, 0, 24, -62, 0, -82, 12, 0, 18, 38, 0, -136, -38, 0, -40, -60, 0, 74, -2, 0, 76, 78, 0, -48, 6, 0, -46, 42, 0, 120, -28, 0, 2, -98, 0, -4, 66, 0, 0, 8, 0, 114, 20, 0, 64, 128, 0, -116, 32, 0, 46, 46, 0, 32, 42, 0, 80, 26, 0, 122, -10, 0, -54, -64, 0, -66, 64, 0, 22, 0, 0, -32, -58, 0, 84, 46, 0, 206, 10, 0, 144, -4, 0, -132, -26, 0, 64, 232, 0, 80, -14, 0, 70, -28, 0, 128, 4, 0, 24, 118, 0, 220, -6, 0, 44, -26, 0, -72, 0, 0, 88, 64, 0, -128, 80, 0, 54, -66, 0, 64, -46, 0, -38, -112, 0, 74, -82, 0, 26, 174, 0, 0, -64, 0, -20, 176, 0, -102, 74, 0, 4, 8, 0, -166, 58, 0, 82, -12, 0, -44, -22, 0, -16, -22, 0, 148, 200, 0, -60, -50, 0, -116, 0, 0, 16, -66, 0, -12, 66, 0, 14, -78, 0, -186, -70, 0, 18, -68, 0, 50, -2, 0, 124, -80, 0, 88, 32, 0, -20, -2, 0, -266, 36, 0, -48, 20, 0, -38, -98, 0, -58, -78, 0, 38, -28, 0, -152, 38, 0, -150, 34, 0, 8, -46, 0, -138, -26, 0, 54, -66, 0, 108, 28, 0, 0, -66, 0, 12, -60, 0, -80, 402, 0, 30, 64, 0, 28, 42, 0, 154, 34, 0, -72, 4, 0, -114, -74, 0, -102, -40, 0, 52, 76, 0, 36, 0, 0, -198, -90, 0, 8, 28, 0, -104, -20, 0, 98, 84, 0, -32, -82, 0, -76, 12, 0, -164, -18, 0, -78, 0, 0, 176, 38, 0, -72, 86, 0, 50, 110, 0, -18, -72, 0, -120, -50, 0, -96, 12, 0, 148, 70, 0, -98, -20, 0, 2, -36, 0, 66, -96, 0, 42, -140, 0, -2, 98, 0, 0, -104, 0, 36, 146, 0, -80, 30, 0, -202, 16, 0, 166, 84, 0, 44, 154, 0, 124, 72, 0, 112, 86, 0, -166, -18, 0, -110, -56, 0, -102, 0, 0, -32, 4, 0, 144, 42, 0, -66, 60, 0, 58, -100, 0, -72, 16, 0, 238, 4, 0, -8, -18, 0, 332, 6, 0, 66, -18, 0, -2, -38, 0, 172, 202, 0, -322, -48, 0, 130, -14, 0, -18, -34, 0, -142, 468, 0, 178, -64, 0, 82, 36, 0, -106, 64, 0, -38, 6, 0, 146, -32, 0, 0, -6, 0, 116, -4, 0, -10, 146, 0, 280, 40, 0, -104, 20, 0, 38, 120, 0, 116, -42, 0, 286, -48, 0, 90, -16, 0, 244, 86, 0, -130, 0, 0, 108, 34, 0, -92, 60, 0, 260, 40, 0, -88, 38, 0, 260, -20, 0, 202, 4, 0, 138, 2, 0, -84, -80, 0, -54, 12, 0, -16, 62, 0, -264, 24, 0, 54, -62, 0, -50, -28, 0, 116, 146, 0, -252, 66, 0, 22, 92, 0, 78, -68, 0, -48, -130, 0, -40, -2, 0, -138, 70, 0, 0, -14, 0, 26, 160, 0, -72, 4, 0, 116, -14, 0, 38, -52, 0, 2, -22, 0, -320, -18, 0, -216, -32, 0, -26, 80, 0, -38, -120, 0, -20, 0, 0, -180, -40, 0, 10, -26, 0, 196, 16, 0, 202, -38, 0, 210, -102, 0, -290, -30, 0, 426, -146, 0, -56, 96, 0, 30, -50, 0, -88, -38, 0, -64, -40, 0, -18, -8, 0, 184, 496, 0, -68, -90, 0, 220, -36, 0, -232, -22, 0, 212, 92, 0, 94, 58, 0, -188, -6, 0, -70, 44, 0, 0, 12, 0, 18, -116, 0, 128, -46, 0, -346, 18, 0, 54, 14, 0, -108, -8, 0, 352, 0, 0, 138, -86, 0, -136, 108, 0, -14, 396, 0, 230, 0, 0, -248, -46, 0, 344, 18, 0, -4, 16, 0, 42, 40, 0, -306, -8, 0, 2, 108, 0, -128, 42, 0, 74, -46, 0, -32, 70, 0, 84, 38, 0, 50, 48, 0, 10, -6, 0, -38, 40, 0, 100, 34, 0, -118, -8, 0, 250, 54, 0, -108, 56, 0, -156, -82, 0, 68, -66, 0, 20, -38, 0, 0, -6, 0, -24, 124, 0, 114, 12, 0, 470, -42, 0, -106, 46, 0, -92, 24, 0, -134, 126, 0, 76, 68, 0, 260, 130, 0, 130, -46, 0, -284, 0, 0, 276, -110, 0, -128, -6, 0, 118, -102, 0, -466, 2, 0, 24, 118, 0, 40, 252, 0, -4, -42, 0, -124, -6, 0, 42, -70, 0, 12, -146, 0, 174, -72, 0, -50, 6, 0, 94, -98, 0, 198, -78, 0, 46, -94, 0, 70, -92, 0, 142, 636, 0, 82, 120, 0, -352, 202, 0, -24, -94, 0, 0, -332, 0, -388, -470, 0, -132, -162, 0, -226, 80, 0, 148, -70, 0, -116, -364, 0, -128, -28, 0, -372, -52, 0, 80, -598, 0, 32, 102, 0, 166, 0, 0, -144, 112, 0, -238, -38, 0, -112], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1400671
{'conductor': 93, 'degree': 8, 'multiplicity': 2, 'order': 30, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8649.2.a.bf', 'source_level': 8649, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '31.2.g.a', 'target_level': 31, 'twist_class_label': '31.2.g.a', 'twist_class_level': 31, 'twisting_char_label': '93.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 1400672
{'conductor': 31, 'degree': 8, 'multiplicity': 2, 'order': 15, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8649.2.a.bf', 'source_level': 8649, 'target_char_orbit': 25, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '279.2.y.c', 'target_level': 279, 'twist_class_label': '31.2.g.a', 'twist_class_level': 31, 'twisting_char_label': '31.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1400673
{'conductor': 372, 'degree': 8, 'multiplicity': 2, 'order': 30, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8649.2.a.bf', 'source_level': 8649, 'target_char_orbit': 33, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '496.2.bg.c', 'target_level': 496, 'twist_class_label': '31.2.g.a', 'twist_class_level': 31, 'twisting_char_label': '372.bd', 'twisting_char_orbit': 30, 'weight': 2}
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id: 1400674
{'conductor': 465, 'degree': 8, 'multiplicity': 2, 'order': 30, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8649.2.a.bf', 'source_level': 8649, 'target_char_orbit': 38, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '775.2.bl.a', 'target_level': 775, 'twist_class_label': '31.2.g.a', 'twist_class_level': 31, 'twisting_char_label': '465.bl', 'twisting_char_orbit': 38, 'weight': 2}
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id: 1400675
{'conductor': 465, 'degree': 16, 'multiplicity': 4, 'order': 60, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8649.2.a.bf', 'source_level': 8649, 'target_char_orbit': 63, 'target_dim': 32, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '775.2.ck.a', 'target_level': 775, 'twist_class_label': '31.2.g.a', 'twist_class_level': 31, 'twisting_char_label': '465.bt', 'twisting_char_orbit': 46, 'weight': 2}
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id: 1400676
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8649.2.a.bf', 'source_level': 8649, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '961.2.a.i', 'target_level': 961, 'twist_class_label': '31.2.g.a', 'twist_class_level': 31, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1400677
{'conductor': 93, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8649.2.a.bf', 'source_level': 8649, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '961.2.a.j', 'target_level': 961, 'twist_class_label': '31.2.g.a', 'twist_class_level': 31, 'twisting_char_label': '93.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1400678
{'conductor': 93, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8649.2.a.bf', 'source_level': 8649, 'target_char_orbit': 3, 'target_dim': 16, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '961.2.c.i', 'target_level': 961, 'twist_class_label': '31.2.g.a', 'twist_class_level': 31, 'twisting_char_label': '93.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1400679
{'conductor': 93, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8649.2.a.bf', 'source_level': 8649, 'target_char_orbit': 3, 'target_dim': 16, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '961.2.c.j', 'target_level': 961, 'twist_class_label': '31.2.g.a', 'twist_class_level': 31, 'twisting_char_label': '93.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1400680
{'conductor': 93, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8649.2.a.bf', 'source_level': 8649, 'target_char_orbit': 4, 'target_dim': 16, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '961.2.d.n', 'target_level': 961, 'twist_class_label': '31.2.g.a', 'twist_class_level': 31, 'twisting_char_label': '93.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1400681
{'conductor': 93, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8649.2.a.bf', 'source_level': 8649, 'target_char_orbit': 4, 'target_dim': 16, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '961.2.d.o', 'target_level': 961, 'twist_class_label': '31.2.g.a', 'twist_class_level': 31, 'twisting_char_label': '93.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1400682
{'conductor': 93, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8649.2.a.bf', 'source_level': 8649, 'target_char_orbit': 4, 'target_dim': 16, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '961.2.d.p', 'target_level': 961, 'twist_class_label': '31.2.g.a', 'twist_class_level': 31, 'twisting_char_label': '93.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1400683
{'conductor': 93, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8649.2.a.bf', 'source_level': 8649, 'target_char_orbit': 4, 'target_dim': 16, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '961.2.d.q', 'target_level': 961, 'twist_class_label': '31.2.g.a', 'twist_class_level': 31, 'twisting_char_label': '93.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1400684
{'conductor': 93, 'degree': 8, 'multiplicity': 2, 'order': 30, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8649.2.a.bf', 'source_level': 8649, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '961.2.g.j', 'target_level': 961, 'twist_class_label': '31.2.g.a', 'twist_class_level': 31, 'twisting_char_label': '93.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1400685
{'conductor': 93, 'degree': 8, 'multiplicity': 2, 'order': 30, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8649.2.a.bf', 'source_level': 8649, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '961.2.g.k', 'target_level': 961, 'twist_class_label': '31.2.g.a', 'twist_class_level': 31, 'twisting_char_label': '93.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 1400686
{'conductor': 93, 'degree': 8, 'multiplicity': 2, 'order': 30, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8649.2.a.bf', 'source_level': 8649, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '961.2.g.l', 'target_level': 961, 'twist_class_label': '31.2.g.a', 'twist_class_level': 31, 'twisting_char_label': '93.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1400687
{'conductor': 93, 'degree': 8, 'multiplicity': 2, 'order': 30, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8649.2.a.bf', 'source_level': 8649, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '961.2.g.m', 'target_level': 961, 'twist_class_label': '31.2.g.a', 'twist_class_level': 31, 'twisting_char_label': '93.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1400688
{'conductor': 93, 'degree': 8, 'multiplicity': 2, 'order': 30, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8649.2.a.bf', 'source_level': 8649, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '961.2.g.n', 'target_level': 961, 'twist_class_label': '31.2.g.a', 'twist_class_level': 31, 'twisting_char_label': '93.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1400689
{'conductor': 93, 'degree': 8, 'multiplicity': 2, 'order': 30, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8649.2.a.bf', 'source_level': 8649, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '961.2.g.s', 'target_level': 961, 'twist_class_label': '31.2.g.a', 'twist_class_level': 31, 'twisting_char_label': '93.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 1400690
{'conductor': 93, 'degree': 8, 'multiplicity': 2, 'order': 30, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8649.2.a.bf', 'source_level': 8649, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '961.2.g.t', 'target_level': 961, 'twist_class_label': '31.2.g.a', 'twist_class_level': 31, 'twisting_char_label': '93.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 1400691
{'conductor': 31, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8649.2.a.bf', 'source_level': 8649, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '8649.2.a.be', 'target_level': 8649, 'twist_class_label': '31.2.g.a', 'twist_class_level': 31, 'twisting_char_label': '31.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1400692
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8649.2.a.bf', 'source_level': 8649, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '8649.2.a.bf', 'target_level': 8649, 'twist_class_label': '31.2.g.a', 'twist_class_level': 31, '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: 4810675
{'charpoly_factorization': [[[-9, -27, 15, 63, 19, -23, -10, 2, 1], 1]], 'hecke_orbit_code': 139611588482048457, 'p': 2}
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id: 4810676
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 139611588482048457, 'p': 3}
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id: 4810677
{'charpoly_factorization': [[[-279, -612, -57, 411, 115, -69, -22, 3, 1], 1]], 'hecke_orbit_code': 139611588482048457, 'p': 5}
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id: 4810678
{'charpoly_factorization': [[[261, -162, -435, 153, 184, -38, -25, 2, 1], 1]], 'hecke_orbit_code': 139611588482048457, 'p': 7}
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id: 4810679
{'charpoly_factorization': [[[-279, 594, -51, -852, 964, -489, 131, -18, 1], 1]], 'hecke_orbit_code': 139611588482048457, 'p': 11}
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id: 4810680
{'charpoly_factorization': [[[-279, 1296, 2064, 627, -281, -161, -4, 8, 1], 1]], 'hecke_orbit_code': 139611588482048457, 'p': 13}
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id: 4810681
{'charpoly_factorization': [[[-8649, -279, 6105, -771, -1091, 254, 35, -14, 1], 1]], 'hecke_orbit_code': 139611588482048457, 'p': 17}
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id: 4810682
{'charpoly_factorization': [[[601, 2048, 2181, 539, -421, -248, -26, 6, 1], 1]], 'hecke_orbit_code': 139611588482048457, 'p': 19}
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id: 4810683
{'charpoly_factorization': [[[-279, 1188, -1122, -849, 1525, -779, 188, -22, 1], 1]], 'hecke_orbit_code': 139611588482048457, 'p': 23}
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id: 4810684
{'charpoly_factorization': [[[-279, 2061, 1029, -1743, -461, 369, -4, -12, 1], 1]], 'hecke_orbit_code': 139611588482048457, 'p': 29}
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id: 4810685
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 139611588482048457, 'p': 31}
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id: 4810686
{'charpoly_factorization': [[[-18569, 65462, 13058, -18751, 625, 1069, -112, -8, 1], 1]], 'hecke_orbit_code': 139611588482048457, 'p': 37}
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id: 4810687
{'charpoly_factorization': [[[-9, 27, 465, 1017, 139, -497, 170, -22, 1], 1]], 'hecke_orbit_code': 139611588482048457, 'p': 41}
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id: 4810688
{'charpoly_factorization': [[[-2759, 21986, -42331, -6088, 5224, 199, -139, -2, 1], 1]], 'hecke_orbit_code': 139611588482048457, 'p': 43}
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id: 4810689
{'charpoly_factorization': [[[57501, -129627, 83280, -8217, -4811, 957, 35, -18, 1], 1]], 'hecke_orbit_code': 139611588482048457, 'p': 47}
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id: 4810690
{'charpoly_factorization': [[[605151, 45684, -147825, -14229, 8964, 621, -180, -6, 1], 1]], 'hecke_orbit_code': 139611588482048457, 'p': 53}
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id: 4810691
{'charpoly_factorization': [[[12951, 30654, -3738, -18738, 5635, 463, -163, -4, 1], 1]], 'hecke_orbit_code': 139611588482048457, 'p': 59}
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id: 4810692
{'charpoly_factorization': [[[38161, 31425, -7053, -11295, -1591, 855, 288, 30, 1], 1]], 'hecke_orbit_code': 139611588482048457, 'p': 61}
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id: 4810693
{'charpoly_factorization': [[[86521, -142189, -44821, 32057, 3274, -1316, -109, 13, 1], 1]], 'hecke_orbit_code': 139611588482048457, 'p': 67}
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id: 4810694
{'charpoly_factorization': [[[14661, 6291, -12483, -3552, 2365, 172, -103, -1, 1], 1]], 'hecke_orbit_code': 139611588482048457, 'p': 71}
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id: 4810695
{'charpoly_factorization': [[[4176351, -619596, -588261, 37533, 23194, -599, -304, 2, 1], 1]], 'hecke_orbit_code': 139611588482048457, 'p': 73}
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id: 4810696
{'charpoly_factorization': [[[9198351, -721944, -1023936, 91842, 27904, -1676, -289, 8, 1], 1]], 'hecke_orbit_code': 139611588482048457, 'p': 79}
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id: 4810697
{'charpoly_factorization': [[[-1202769, -3581631, 441792, 355137, -84740, 4428, 332, -39, 1], 1]], 'hecke_orbit_code': 139611588482048457, 'p': 83}
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id: 4810698
{'charpoly_factorization': [[[-343449, 118197, 95865, -31488, -6071, 1788, 95, -27, 1], 1]], 'hecke_orbit_code': 139611588482048457, 'p': 89}
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id: 4810699
{'charpoly_factorization': [[[-2670579, -1101429, 826125, -3006, -33161, 2599, 245, -34, 1], 1]], 'hecke_orbit_code': 139611588482048457, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 32, 'label': '8649.2.a.bf', 'level': 8649, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 68929579
{'hecke_orbit_code': 139611588482048457, 'n': 1, 'trace_an': 8}
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id: 68929580
{'hecke_orbit_code': 139611588482048457, 'n': 2, 'trace_an': -2}
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id: 68929581
{'hecke_orbit_code': 139611588482048457, 'n': 3, 'trace_an': 0}
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id: 68929582
{'hecke_orbit_code': 139611588482048457, 'n': 4, 'trace_an': 8}
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id: 68929583
{'hecke_orbit_code': 139611588482048457, 'n': 5, 'trace_an': -3}
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id: 68929584
{'hecke_orbit_code': 139611588482048457, 'n': 6, 'trace_an': 0}
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id: 68929585
{'hecke_orbit_code': 139611588482048457, 'n': 7, 'trace_an': -2}
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id: 68929586
{'hecke_orbit_code': 139611588482048457, 'n': 8, 'trace_an': 9}
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id: 68929587
{'hecke_orbit_code': 139611588482048457, 'n': 9, 'trace_an': 0}
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id: 68929588
{'hecke_orbit_code': 139611588482048457, 'n': 10, 'trace_an': -13}
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id: 68929589
{'hecke_orbit_code': 139611588482048457, 'n': 11, 'trace_an': 18}
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id: 68929590
{'hecke_orbit_code': 139611588482048457, 'n': 12, 'trace_an': 0}
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id: 68929591
{'hecke_orbit_code': 139611588482048457, 'n': 13, 'trace_an': -8}
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id: 68929592
{'hecke_orbit_code': 139611588482048457, 'n': 14, 'trace_an': 9}
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id: 68929593
{'hecke_orbit_code': 139611588482048457, 'n': 15, 'trace_an': 0}
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id: 68929594
{'hecke_orbit_code': 139611588482048457, 'n': 16, 'trace_an': 4}
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id: 68929595
{'hecke_orbit_code': 139611588482048457, 'n': 17, 'trace_an': 14}
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