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mf_newforms • Show schema
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{'Nk2': 3872, 'analytic_conductor': 7.729518915659941, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 5, 'char_parity': 1, 'char_values': [968, 5, [727, 485, 849], [5, 5, 3]], 'cm_discs': [], 'conrey_index': 9, 'conrey_indexes': [9, 81, 729, 753], 'dim': 4, 'field_disc': 125, 'field_disc_factorization': [[5, 3]], 'field_poly': [1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 10, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [81, -27, 9, -3, 1]], [7, [16, -8, 4, -2, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532946435703752, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 3, 11, 3, 1, 5, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '968.2.i.j', 'level': 968, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 11], 'level_radical': 22, 'minimal_twist': '88.2.a.a', 'nf_label': '4.0.125.1', 'prim_orbit_index': 3, 'qexp_display': 'q-3\\zeta_{10}^{2}q^{3}+3\\zeta_{10}q^{5}+2\\zeta_{10}^{3}q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '968.2.i', 'trace_display': [0, 3, 3, 2], 'trace_hash': 1716980834104195594, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.892', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '98.370', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, 0, -3, 0], [0, 0, 0, 0], [0, 3, 0, 0], [0, 0, 0, 0], [0, 0, 0, 2], [0, 0, 0, 0], [-6, 6, -6, 6], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -9], [0, 0, 0, 0], [0, 6, 0, 0], [0, 0, 0, 0], [0, 0, 4, 0], [0, 0, 0, 0], [6, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 4, 0], [0, 0, 0, 0], [0, 9, 0, 0], [0, 0, 0, 0], [0, 0, 0, 8], [0, 0, 0, 0], [7, -7, 7, -7], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-6, 6, -6, 6], [0, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 4, 0], [0, 0, 0, 0], [6, 0, 0, 0], [0, 0, 0, 0], [-18, 0, 0, 0], [0, 0, 0, 0], [0, 0, -8, 0], [0, 0, 0, 0], [0, 3, 0, 0], [0, 0, 0, 0], [0, 0, 0, -18], [0, 0, 0, 0], [-2, 2, -2, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [12, -12, 12, -12], [0, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [0, -4, 0, 0], [0, 0, 0, 0], [0, 0, -12, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-5, 0, 0, 0], [0, 0, 0, 0], [0, 0, -3, 0], [0, 0, 0, 0], [0, -3, 0, 0], [0, 0, 0, 0], [0, 0, 0, -16], [0, 0, 0, 0], [12, -12, 12, -12], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-2, 2, -2, 2], [0, 0, 0, 0], [0, 0, 0, -9], [0, 0, 0, 0], [0, 2, 0, 0], [0, 0, 0, 0], [0, 0, 18, 0], [0, 0, 0, 0], [24, 0, 0, 0], [0, 0, 0, 0], [15, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -21, 0, 0], [0, 0, 0, 0], [0, 0, 0, 12], [0, 0, 0, 0], [7, -7, 7, -7], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 0, -3, 0], [0, 3, 0, 0], [0, 0, 0, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 6, 0, 0], [0, 0, 4, 0], [1, 0, 0, 0], [0, 0, 0, 8], [7, -7, 7, -7], [0, 0, 0, 1], [0, 0, 4, 0], [6, 0, 0, 0], [0, 0, -8, 0], [-2, 2, -2, 2], [0, 0, 0, 1], [0, -4, 0, 0], [-5, 0, 0, 0], [0, -3, 0, 0], [0, 0, 0, -16], [-2, 2, -2, 2], [0, 2, 0, 0], [15, 0, 0, 0], [7, -7, 7, -7], [10, -10, 10, -10], [0, 0, 0, 16], [0, 0, 2, 0], [-14, 0, 0, 0], [0, 0, -7, 0], [0, -4, 0, 0], [-2, 0, 0, 0], [0, 15, 0, 0], [0, 0, 0, 22], [0, -18, 0, 0], [0, 0, -18, 0], [0, 0, -11, 0], [4, -4, 4, -4], [-16, 16, -16, 16], [0, 0, 18, 0], [0, 0, -5, 0], [0, 5, 0, 0], [0, 0, 0, 9], [0, -4, 0, 0], [6, 0, 0, 0], [8, 0, 0, 0], [-20, 20, -20, 20], [0, 0, 29, 0], [0, 0, 0, -18], [21, -21, 21, -21], [16, -16, 16, -16], [0, 0, -2, 0], [0, 0, 0, 0], [13, -13, 13, -13], [0, 0, 0, 10], [14, 0, 0, 0], [0, -26, 0, 0], [0, 0, 0, 0], [2, -2, 2, -2], [0, -6, 0, 0], [0, 0, 4, 0], [0, 0, 0, -12], [-4, 0, 0, 0], [0, 0, -12, 0], [0, 9, 0, 0], [15, -15, 15, -15], [-35, 0, 0, 0], [0, 0, 0, 10], [0, 32, 0, 0], [0, 0, -14, 0], [3, 0, 0, 0], [0, 0, 0, -24], [0, 0, 0, -33], [-22, 0, 0, 0], [0, -25, 0, 0], [-1, 1, -1, 1], [0, 0, 0, -13], [-26, 0, 0, 0], [0, 6, 0, 0], [-34, 34, -34, 34], [-28, 0, 0, 0], [0, 0, 30, 0], [26, -26, 26, -26], [0, 0, 0, -13], [-32, 0, 0, 0], [0, 0, -9, 0], [21, -21, 21, -21], [0, -12, 0, 0], [-28, 0, 0, 0], [27, 0, 0, 0], [0, 33, 0, 0], [0, -8, 0, 0], [0, 0, 9, 0], [0, 0, 0, -8], [0, 0, 0, 20], [0, 0, -30, 0], [0, 0, -13, 0], [0, 0, 0, -37], [0, -44, 0, 0], [-12, 12, -12, 12], [0, 0, 0, 0], [0, 0, 0, -42], [12, -12, 12, -12], [0, 0, -24, 0], [-4, 0, 0, 0], [0, 23, 0, 0], [0, 0, 0, -12], [-4, 0, 0, 0], [0, -48, 0, 0], [0, 0, 0, -38], [18, -18, 18, -18], [0, 0, -16, 0], [18, 0, 0, 0], [0, 0, -3, 0], [0, 0, 0, -9], [0, 0, -9, 0], [0, -7, 0, 0], [-15, 15, -15, 15], [0, 0, 0, -11], [22, 0, 0, 0], [-7, 0, 0, 0], [34, -34, 34, -34], [0, 30, 0, 0], [8, 0, 0, 0], [29, -29, 29, -29], [0, 0, -10, 0], [0, -19, 0, 0], [0, 0, 0, 23], [-35, 0, 0, 0], [0, 0, 0, -4], [26, -26, 26, -26], [0, 36, 0, 0], [0, 0, 23, 0], [-10, 10, -10, 10], [0, 0, 0, 0], [16, 0, 0, 0], [0, 0, -6, 0], [0, -24, 0, 0], [0, -1, 0, 0], [0, -12, 0, 0], [0, 0, -26, 0], [0, 0, 0, 34], [31, -31, 31, -31], [16, -16, 16, -16], [0, 0, 0, 35], [0, 0, 21, 0], [0, 26, 0, 0], [-24, 0, 0, 0], [11, 0, 0, 0], [0, 16, 0, 0], [0, 0, 56, 0], [-19, 0, 0, 0], [0, 0, -28, 0], [0, 0, 0, 34], [0, -28, 0, 0], [-36, 36, -36, 36], [0, 50, 0, 0], [0, 22, 0, 0], [-4, 4, -4, 4], [0, -10, 0, 0], [47, 0, 0, 0], [0, 0, 0, 34], [-8, 0, 0, 0], [0, 0, 53, 0], [11, -11, 11, -11], [0, 0, 0, -25], [16, 0, 0, 0], [0, 0, 0, -2]], 'char_orbit_index': 9, 'field_poly': [1, -1, 1, -1, 1], 'hecke_orbit_code': 40532946435703752, 'hecke_ring_character_values': [[727, [1, 0, 0, 0]], [485, [1, 0, 0, 0]], [849, [0, 0, 0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '968.2.i.j', 'level': 968, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3872, 'analytic_conductor': 7.729518915659941, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 5, 'char_parity': 1, 'char_values': [968, 5, [727, 485, 849], [5, 5, 3]], 'conrey_index': 9, 'cusp_dim': 432, 'dim': 108, 'eis_dim': 192, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 549789369288, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8], 'label': '968.2.i', 'level': 968, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 11], 'level_radical': 22, 'mf_dim': 624, 'mf_new_dim': 108, 'num_forms': 20, 'prim_orbit_index': 3, 'relative_dim': 27, 'sturm_bound': 264, 'trace_bound': 7, 'trace_display': [0, -2, 0, -4], 'traces': [108, 0, -2, 0, 0, 0, -4, 0, -21, 0, 0, 0, -2, 0, 18, 0, 8, 0, 11, 0, 8, 0, 28, 0, -3, 0, 19, 0, 0, 0, -6, 0, 0, 0, -10, 0, -16, 0, -44, 0, -20, 0, -30, 0, -76, 0, -18, 0, -45, 0, -35, 0, 36, 0, 0, 0, 9, 0, 29, 0, 18, 0, 8, 0, 20, 0, 82, 0, 52, 0, 36, 0, 8, 0, -3, 0, 0, 0, 8, 0, -68, 0, 13, 0, -36, 0, 40, 0, -46, 0, -30, 0, -6, 0, -4, 0, 7, 0, 0, 0, -24, 0, 40, 0, 12, 0, 30, 0, 24, 0, 60, 0, 1, 0, -18, 0, 24, 0, -54, 0, 0, 0, -32, 0, 18, 0, -40, 0, 11, 0, -130, 0, -72, 0, -58, 0, 29, 0, -10, 0, -14, 0, 0, 0, 34, 0, -4, 0, -10, 0, -22, 0, 0, 0, 20, 0, 72, 0, 2, 0, 12, 0, 38, 0, 0, 0, 62, 0, -25, 0, 67, 0, 46, 0, 120, 0, 12, 0, 25, 0, 4, 0, 38, 0, 78, 0, 0, 0, 38, 0, 24, 0, 44, 0, 64, 0, 0, 0, -56, 0, -13, 0, -2, 0, 60, 0, -66, 0, 0, 0, -71, 0, 42, 0, -44, 0, -46, 0, -94, 0, -88, 0, -32, 0, -51, 0, 11, 0, -56, 0, 0, 0, -41, 0, -78, 0, 4, 0, -70, 0, -10, 0, -520, 0, -102, 0, -24, 0, -47, 0, 148, 0, 0, 0, 52, 0, -32, 0, 86, 0, -24, 0, 84, 0, -260, 0, 147, 0, -24, 0, 56, 0, -60, 0, 0, 0, -38, 0, -46, 0, -53, 0, -6, 0, -96, 0, -48, 0, -31, 0, 48, 0, -90, 0, 14, 0, 0, 0, 28, 0, -4, 0, -82, 0, 86, 0, -6, 0, 84, 0, 70, 0, 86, 0, -50, 0, 80, 0, 0, 0, 34, 0, 72, 0, -44, 0, -28, 0, 60, 0, -30, 0, -8, 0, 48, 0, 71, 0, 107, 0, 0, 0, 14, 0, 98, 0, 104, 0, 38, 0, 176, 0, 154, 0, 80, 0, 102, 0, 50, 0, -52, 0, 0, 0, 22, 0, -298, 0, 0, 0, -34, 0, 28, 0, -28, 0, -56, 0, -291, 0, -18, 0, -64, 0, 0, 0, -76, 0, 122, 0, -38, 0, -29, 0, -164, 0, -20, 0, -240, 0, -67, 0, -6, 0, 28, 0, 0, 0, -84, 0, 99, 0, 2, 0, -76, 0, -180, 0, -258, 0, 36, 0, -54, 0, -93, 0, -230, 0, 0, 0, 70, 0, 35, 0, 72, 0, 8, 0, 64, 0, 226, 0, 142, 0, 36, 0, 8, 0, 6, 0, 0, 0, -2, 0, 28, 0, -83, 0, 33, 0, -4, 0, 784, 0, -14, 0, 208, 0, -98, 0, 128, 0, 0, 0, -56, 0, -28, 0, -34, 0, 78, 0, -32, 0, 808, 0, 48, 0, 203, 0, 42, 0, -248, 0, 0, 0, 38, 0, -20, 0, -60, 0, -2, 0, 44, 0, 958, 0, -254, 0, -68, 0, 1, 0, 38, 0, 0, 0, -34, 0, 201, 0, 80, 0, 78, 0, 128, 0, 140, 0, 101, 0, -202, 0, 20, 0, 21, 0, 0, 0, 102, 0, 10, 0, -32, 0, 37, 0, 48, 0, -96, 0, 74, 0, 6, 0, 38, 0, -170, 0, 0, 0, 69, 0, -96, 0, -44, 0, 29, 0, 56, 0, 96, 0, 90, 0, 2, 0, -50, 0, 20, 0, 0, 0, -106, 0, -47, 0, 90, 0, -28, 0, -22, 0, 100, 0, -52, 0, 84, 0, -28, 0, 181, 0, 0, 0, 18, 0, 166, 0, 14, 0, -160, 0, 12, 0, -62, 0, -245, 0, 162, 0, -32, 0, -37, 0, 0, 0, -216, 0, -6, 0, -86, 0, -54, 0, -124, 0, -72, 0, 210, 0, -97, 0, 42, 0, -170, 0, 0, 0, -56, 0, -338, 0, 30, 0, -3, 0, -190, 0, -16, 0, -102, 0, -20, 0, -140, 0, 172, 0, 0, 0, 120, 0, 3, 0, -72, 0, -46, 0, 28, 0, -664, 0, 58, 0, -212, 0, -26, 0, 20, 0, 0, 0, 26, 0, 83, 0, 4, 0, 98, 0, -40, 0, -932, 0, 30, 0, -30, 0, 38, 0, 26, 0, 0, 0, 190, 0, 56, 0, 102, 0, 3, 0, 184, 0, -772, 0, 78, 0, 1, 0, 28, 0, 194, 0, 0, 0, -16, 0, 124, 0, -24, 0, -182, 0, 110, 0, -872, 0, 134, 0, -36, 0, 122, 0, 70, 0, 0, 0, -128, 0, -240, 0, 120, 0, 70, 0, 16, 0, -102, 0, -160, 0, 226, 0, 106, 0, 23, 0, 0, 0, 38, 0, -256, 0, -112, 0, -34, 0, -24, 0, -172, 0, -112, 0, -114, 0, 70, 0, 242, 0, 0, 0, -8, 0, 288, 0, -28, 0, 118, 0, -64, 0, 252, 0, 41, 0, -12, 0, -84, 0, -6, 0, 0, 0, -8, 0, -118, 0, 8, 0, 137, 0, 36, 0, -492, 0, 14, 0, -61, 0, 21, 0, -84, 0, 0, 0, 198, 0, 70, 0, -66, 0, 14, 0, 102, 0, 106, 0, 248, 0, 186, 0, 142, 0, -79, 0, 0, 0, -42, 0, 21, 0, -64, 0, 82, 0, -236, 0, -22, 0, -88, 0, -52, 0, -172, 0, -62, 0, 0, 0, 34, 0, 230, 0, 192, 0, -30, 0, 4, 0, 92, 0, -30, 0, 86, 0, 44, 0, -142, 0, 0, 0, -30, 0, -26, 0, -62, 0, -201, 0, -124, 0, 692, 0, -90, 0, 40, 0, -35, 0, -94, 0, 0, 0, -96, 0, -165, 0, 152, 0, 98, 0, -128, 0, -38, 0, 64, 0, 62, 0, -40, 0, -144, 0, 0, 0, -12, 0, -171, 0, -10, 0, -234, 0, 168, 0, 1162, 0, -28, 0, -22, 0, -66, 0, -204, 0, 0, 0, -186, 0, 94, 0, 60, 0, 98, 0, 16, 0, 76, 0, -305, 0, 52, 0, 160, 0, 106, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 595473
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '88.2.a.a', 'target_level': 88, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 595474
{'conductor': 44, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '176.2.a.c', 'target_level': 176, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '44.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 595475
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '704.2.a.b', 'target_level': 704, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '88.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 595476
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '704.2.a.l', 'target_level': 704, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '88.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 595477
{'conductor': 33, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '792.2.a.g', 'target_level': 792, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '33.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 595478
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '968.2.a.a', 'target_level': 968, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 595479
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '968.2.i.i', 'target_level': 968, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 595480
{'conductor': 11, 'degree': 4, 'multiplicity': 3, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '968.2.i.i', 'target_level': 968, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 595481
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '968.2.i.j', 'target_level': 968, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 595482
{'conductor': 11, 'degree': 4, 'multiplicity': 3, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '968.2.i.j', 'target_level': 968, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 595483
{'conductor': 132, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1584.2.a.q', 'target_level': 1584, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '132.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 595484
{'conductor': 44, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1936.2.a.l', 'target_level': 1936, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '44.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 595485
{'conductor': 55, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2200.2.a.k', 'target_level': 2200, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '55.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 595486
{'conductor': 55, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2200.2.b.a', 'target_level': 2200, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '55.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 595487
{'conductor': 176, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2816.2.c.d', 'target_level': 2816, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '176.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 595488
{'conductor': 176, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2816.2.c.i', 'target_level': 2816, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '176.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 595489
{'conductor': 77, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '4312.2.a.l', 'target_level': 4312, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '77.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 595490
{'conductor': 220, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4400.2.a.a', 'target_level': 4400, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '220.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 595491
{'conductor': 220, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '4400.2.b.b', 'target_level': 4400, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '220.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 595492
{'conductor': 264, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '6336.2.a.h', 'target_level': 6336, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '264.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 595493
{'conductor': 264, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '6336.2.a.k', 'target_level': 6336, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '264.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 595494
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '7744.2.a.b', 'target_level': 7744, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '88.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 595495
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '7744.2.a.bk', 'target_level': 7744, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '88.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 595496
{'conductor': 308, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '8624.2.a.c', 'target_level': 8624, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '308.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 595497
{'conductor': 33, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '968.2.i.j', 'source_level': 968, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '8712.2.a.x', 'target_level': 8712, 'twist_class_label': '88.2.a.a', 'twist_class_level': 88, 'twisting_char_label': '33.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1548175
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 40532946435703752, 'p': 2}
-
id: 1548176
{'charpoly_factorization': [[[81, -27, 9, -3, 1], 1]], 'hecke_orbit_code': 40532946435703752, 'p': 3}
-
id: 1548177
{'charpoly_factorization': [[[81, -27, 9, -3, 1], 1]], 'hecke_orbit_code': 40532946435703752, 'p': 5}
-
id: 1548178
{'charpoly_factorization': [[[16, -8, 4, -2, 1], 1]], 'hecke_orbit_code': 40532946435703752, 'p': 7}
-
id: 1548179
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 40532946435703752, 'p': 11}
-
id: 1548180
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 40532946435703752, 'p': 13}
-
id: 1548181
{'charpoly_factorization': [[[1296, -216, 36, -6, 1], 1]], 'hecke_orbit_code': 40532946435703752, 'p': 17}
-
id: 1548182
{'charpoly_factorization': [[[256, 64, 16, 4, 1], 1]], 'hecke_orbit_code': 40532946435703752, 'p': 19}
-
id: 1548183
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 40532946435703752, 'p': 23}
-
id: 1548184
{'charpoly_factorization': [[[4096, -512, 64, -8, 1], 1]], 'hecke_orbit_code': 40532946435703752, 'p': 29}
-
id: 1548185
{'charpoly_factorization': [[[2401, -343, 49, -7, 1], 1]], 'hecke_orbit_code': 40532946435703752, 'p': 31}
-
id: 1548186
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 40532946435703752, 'p': 37}
-
id: 1548187
{'charpoly_factorization': [[[256, 64, 16, 4, 1], 1]], 'hecke_orbit_code': 40532946435703752, 'p': 41}
-
id: 1548188
{'charpoly_factorization': [[[-6, 1], 4]], 'hecke_orbit_code': 40532946435703752, 'p': 43}
-
id: 1548189
{'charpoly_factorization': [[[4096, -512, 64, -8, 1], 1]], 'hecke_orbit_code': 40532946435703752, 'p': 47}
-
id: 1548190
{'charpoly_factorization': [[[16, 8, 4, 2, 1], 1]], 'hecke_orbit_code': 40532946435703752, 'p': 53}
-
id: 1548191
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 40532946435703752, 'p': 59}
-
id: 1548192
{'charpoly_factorization': [[[256, 64, 16, 4, 1], 1]], 'hecke_orbit_code': 40532946435703752, 'p': 61}
-
id: 1548193
{'charpoly_factorization': [[[5, 1], 4]], 'hecke_orbit_code': 40532946435703752, 'p': 67}
-
id: 1548194
{'charpoly_factorization': [[[81, 27, 9, 3, 1], 1]], 'hecke_orbit_code': 40532946435703752, 'p': 71}
-
id: 1548195
{'charpoly_factorization': [[[65536, 4096, 256, 16, 1], 1]], 'hecke_orbit_code': 40532946435703752, 'p': 73}
-
id: 1548196
{'charpoly_factorization': [[[16, 8, 4, 2, 1], 1]], 'hecke_orbit_code': 40532946435703752, 'p': 79}
-
id: 1548197
{'charpoly_factorization': [[[16, -8, 4, -2, 1], 1]], 'hecke_orbit_code': 40532946435703752, 'p': 83}
-
id: 1548198
{'charpoly_factorization': [[[-15, 1], 4]], 'hecke_orbit_code': 40532946435703752, 'p': 89}
-
id: 1548199
{'charpoly_factorization': [[[2401, -343, 49, -7, 1], 1]], 'hecke_orbit_code': 40532946435703752, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 10, 'label': '968.2.i.j', 'level': 968, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 209161000
{'hecke_orbit_code': 40532946435703752, 'n': 1, 'trace_an': 4}
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id: 209161001
{'hecke_orbit_code': 40532946435703752, 'n': 2, 'trace_an': 0}
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id: 209161002
{'hecke_orbit_code': 40532946435703752, 'n': 3, 'trace_an': 3}
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id: 209161003
{'hecke_orbit_code': 40532946435703752, 'n': 4, 'trace_an': 0}
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id: 209161004
{'hecke_orbit_code': 40532946435703752, 'n': 5, 'trace_an': 3}
-
id: 209161005
{'hecke_orbit_code': 40532946435703752, 'n': 6, 'trace_an': 0}
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id: 209161006
{'hecke_orbit_code': 40532946435703752, 'n': 7, 'trace_an': 2}
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id: 209161007
{'hecke_orbit_code': 40532946435703752, 'n': 8, 'trace_an': 0}
-
id: 209161008
{'hecke_orbit_code': 40532946435703752, 'n': 9, 'trace_an': -6}
-
id: 209161009
{'hecke_orbit_code': 40532946435703752, 'n': 10, 'trace_an': 0}
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id: 209161010
{'hecke_orbit_code': 40532946435703752, 'n': 11, 'trace_an': 0}
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id: 209161011
{'hecke_orbit_code': 40532946435703752, 'n': 12, 'trace_an': 0}
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id: 209161012
{'hecke_orbit_code': 40532946435703752, 'n': 13, 'trace_an': 0}
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id: 209161013
{'hecke_orbit_code': 40532946435703752, 'n': 14, 'trace_an': 0}
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id: 209161014
{'hecke_orbit_code': 40532946435703752, 'n': 15, 'trace_an': -9}
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id: 209161015
{'hecke_orbit_code': 40532946435703752, 'n': 16, 'trace_an': 0}
-
id: 209161016
{'hecke_orbit_code': 40532946435703752, 'n': 17, 'trace_an': 6}
-
id: 209161017
{'hecke_orbit_code': 40532946435703752, 'n': 18, 'trace_an': 0}
-
id: 209161018
{'hecke_orbit_code': 40532946435703752, 'n': 19, 'trace_an': -4}
-
id: 209161019
{'hecke_orbit_code': 40532946435703752, 'n': 20, 'trace_an': 0}
-
id: 209161020
{'hecke_orbit_code': 40532946435703752, 'n': 21, 'trace_an': 24}
-
id: 209161021
{'hecke_orbit_code': 40532946435703752, 'n': 22, 'trace_an': 0}
-
id: 209161022
{'hecke_orbit_code': 40532946435703752, 'n': 23, 'trace_an': 4}
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id: 209161023
{'hecke_orbit_code': 40532946435703752, 'n': 24, 'trace_an': 0}
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id: 209161985
{'hecke_orbit_code': 40532946435703752, 'n': 986, 'trace_an': 0}
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id: 209161986
{'hecke_orbit_code': 40532946435703752, 'n': 987, 'trace_an': 48}
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id: 209161987
{'hecke_orbit_code': 40532946435703752, 'n': 988, 'trace_an': 0}
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id: 209161988
{'hecke_orbit_code': 40532946435703752, 'n': 989, 'trace_an': 24}
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id: 209161989
{'hecke_orbit_code': 40532946435703752, 'n': 990, 'trace_an': 0}
-
id: 209161990
{'hecke_orbit_code': 40532946435703752, 'n': 991, 'trace_an': 64}
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id: 209161991
{'hecke_orbit_code': 40532946435703752, 'n': 992, 'trace_an': 0}
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id: 209161992
{'hecke_orbit_code': 40532946435703752, 'n': 993, 'trace_an': -105}
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id: 209161993
{'hecke_orbit_code': 40532946435703752, 'n': 994, 'trace_an': 0}
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id: 209161994
{'hecke_orbit_code': 40532946435703752, 'n': 995, 'trace_an': 24}
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id: 209161995
{'hecke_orbit_code': 40532946435703752, 'n': 996, 'trace_an': 0}
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id: 209161996
{'hecke_orbit_code': 40532946435703752, 'n': 997, 'trace_an': -2}
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id: 209161997
{'hecke_orbit_code': 40532946435703752, 'n': 998, 'trace_an': 0}
-
id: 209161998
{'hecke_orbit_code': 40532946435703752, 'n': 999, 'trace_an': -9}
-
id: 209161999
{'hecke_orbit_code': 40532946435703752, 'n': 1000, 'trace_an': 0}