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mf_newforms • Show schema
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{'Nk2': 324, 'analytic_conductor': 0.6467882563723711, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [81, 3, [2], [1]], 'cm_discs': [], 'conrey_index': 28, 'conrey_indexes': [28, 55], 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [9, 0, 3, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503737099878481, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 9, 3, 1, 3, 0], [1, 1, 9, 4, -1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '81.2.c.b', 'level': 81, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '81.2.a.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\zeta_{12}^{2}q^{2}+(-1+\\zeta_{12})q^{4}+(-\\zeta_{12}^{2}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '81.2.c', 'trace_display': [0, 0, 0, -4], 'trace_hash': 422958714910004693, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.843', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.076', 'prec': 17}, {'__RealLiteral__': 0, 'data': '91.269', 'prec': 20}, {'__RealLiteral__': 0, 'data': '24.923', 'prec': 20}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [-1, 1, 0, 0], [0, 0, -1, 1], [0, 0, 0, 0], [0, -2, 0, 0], [0, 0, 0, -1], [0, 0, 0, 0], [-3, 0, 0, 0], [0, 0, 2, 0], [0, 0, 0, 0], [1, -1, 0, 0], [0, 0, 2, -2], [0, 0, 0, 0], [0, 5, 0, 0], [0, 0, 0, 3], [0, 0, 0, 0], [2, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 0], [6, -6, 0, 0], [0, 0, 2, -2], [0, 0, 0, 0], [0, 2, 0, 0], [0, 0, 0, -1], [0, 0, 0, 0], [2, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [-8, 8, 0, 0], [0, 0, -3, 3], [0, 0, 0, 0], [0, -9, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [-7, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [-3, 3, 0, 0], [0, 0, -4, 4], [0, 0, 0, 0], [0, -2, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [6, 0, 0, 0], [0, 0, -4, 0], [0, 0, 0, 0], [3, -3, 0, 0], [0, 0, -2, 2], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [6, 0, 0, 0], [0, 0, 2, 0], [0, 0, 0, 0], [-3, 3, 0, 0], [0, 0, 8, -8], [0, 0, 0, 0], [0, 7, 0, 0], [0, 0, 0, 8], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [10, -10, 0, 0], [0, 0, 3, -3], [0, 0, 0, 0], [0, 6, 0, 0], [0, 0, 0, -6], [0, 0, 0, 0], [-7, 0, 0, 0], [0, 0, 7, 0], [0, 0, 0, 0], [-2, 2, 0, 0], [0, 0, -4, 4], [0, 0, 0, 0], [0, -2, 0, 0], [0, 0, 0, 5], [0, 0, 0, 0], [-12, 0, 0, 0], [0, 0, 8, 0], [0, 0, 0, 0], [9, -9, 0, 0], [0, 0, 2, -2], [0, 0, 0, 0], [0, -6, 0, 0], [0, 0, 0, -3], [0, 0, 0, 0], [-2, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [-12, 12, 0, 0], [0, 0, -2, 2], [0, 0, 0, 0], [0, -2, 0, 0], [0, 0, 0, -3], [0, 0, 0, 0], [-2, 0, 0, 0]], 'ap': [[0, 0, -1, 0], [0, 0, 0, 0], [0, 0, -1, 1], [0, -2, 0, 0], [0, 0, 2, 0], [1, -1, 0, 0], [0, 0, 0, 3], [2, 0, 0, 0], [0, 0, 2, -2], [0, 0, -1, 0], [-8, 8, 0, 0], [-7, 0, 0, 0], [0, 0, -4, 4], [0, -2, 0, 0], [0, 0, -4, 0], [0, 0, 0, 0], [0, 0, 8, -8], [0, 7, 0, 0], [10, -10, 0, 0], [0, 0, 0, -6], [-7, 0, 0, 0], [0, -2, 0, 0], [0, 0, 8, 0], [0, 0, 0, -3], [0, -2, 0, 0], [0, 0, -4, 0], [-8, 8, 0, 0], [0, 0, 0, 0], [11, 0, 0, 0], [0, 0, -1, 1], [2, 0, 0, 0], [0, 0, 2, -2], [0, 0, -1, 0], [-8, 8, 0, 0], [0, 0, 5, -5], [0, -20, 0, 0], [-17, 17, 0, 0], [-16, 0, 0, 0], [0, 0, -10, 10], [0, 0, 11, 0], [0, 0, 0, 12], [2, 0, 0, 0], [0, 0, -10, 0], [1, -1, 0, 0], [0, 0, 0, -3], [20, 0, 0, 0], [10, -10, 0, 0], [0, -2, 0, 0], [0, 0, 2, 0], [1, -1, 0, 0], [0, 0, 0, -15], [0, 0, -16, 16], [0, -29, 0, 0], [0, 0, 0, 6], [0, 0, 5, -5], [0, 0, -4, 0], [0, 0, 0, -9], [2, 0, 0, 0], [0, -2, 0, 0], [0, 0, -7, 0], [28, -28, 0, 0], [0, 0, 11, -11], [-16, 0, 0, 0], [0, 0, -4, 4], [0, 25, 0, 0], [0, 0, 5, 0], [0, -2, 0, 0], [-26, 26, 0, 0], [0, 0, 2, -2], [0, -2, 0, 0], [0, 0, 8, 0], [0, 0, 0, 6], [0, -20, 0, 0], [10, -10, 0, 0], [-16, 0, 0, 0], [0, 0, -10, 10], [0, 0, -16, 0], [29, 0, 0, 0], [0, 0, -7, 7], [19, -19, 0, 0], [0, 0, -4, 4], [0, 25, 0, 0], [0, 0, 0, 0], [11, 0, 0, 0], [0, -20, 0, 0], [0, 0, 20, 0], [0, 0, 0, 12], [0, -29, 0, 0], [0, 0, 8, 0], [-8, 8, 0, 0], [0, 0, 0, -12], [0, 0, 14, 0], [-16, 0, 0, 0], [0, 0, -10, 10], [10, -10, 0, 0], [0, 0, 0, 12], [0, 0, -16, 16], [0, 0, 0, -12], [38, 0, 0, 0], [11, 0, 0, 0], [0, -20, 0, 0], [0, 0, 0, 21], [0, 0, 20, -20], [0, 0, -19, 0], [-8, 8, 0, 0], [11, 0, 0, 0], [0, 0, -22, 0], [0, 0, 0, 9], [0, 0, 8, -8], [0, 25, 0, 0], [-26, 26, 0, 0], [-34, 0, 0, 0], [0, 0, -7, 7], [0, -20, 0, 0], [20, 0, 0, 0], [0, 0, -13, 0], [-8, 8, 0, 0], [0, 0, 0, -18], [0, 0, 8, -8], [0, 0, 2, 0], [-17, 17, 0, 0], [0, 25, 0, 0], [0, 0, 8, 0], [0, 0, 0, -12], [0, -2, 0, 0], [0, 0, 0, 27], [0, 25, 0, 0], [0, 0, 0, -6], [0, 34, 0, 0], [46, -46, 0, 0], [20, 0, 0, 0], [0, 0, -4, 4], [10, -10, 0, 0], [2, 0, 0, 0], [0, 0, 17, -17], [1, -1, 0, 0], [0, 0, 0, -15], [-26, 26, 0, 0], [0, 0, -31, 31], [0, 0, 0, -27], [-16, 0, 0, 0], [0, 0, -7, 0], [28, -28, 0, 0], [0, 0, 0, -6], [2, 0, 0, 0], [0, 0, 26, 0], [0, 34, 0, 0], [0, 0, -13, 0], [-44, 44, 0, 0], [0, 0, 0, 18], [-53, 53, 0, 0], [0, 0, 0, 12], [56, 0, 0, 0], [0, 0, 2, -2], [0, 52, 0, 0], [0, 0, 14, 0], [2, 0, 0, 0], [0, 0, 29, 0], [-25, 0, 0, 0], [0, 0, 29, -29], [0, 0, -10, 0], [0, 0, 0, -3], [46, -46, 0, 0], [0, 0, 0, 18], [0, 0, -28, 28], [0, 0, 20, 0], [-34, 0, 0, 0], [0, 7, 0, 0]], 'char_orbit_index': 3, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 4503737099878481, 'hecke_ring_character_values': [[2, [-1, 1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 3, 1, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 0, 1, 1], [0, 1, 0, 0], [0, 0, 2, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 0, 1, 0], [0, 1, 0, 1], [0, 2, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '81.2.c.b', 'level': 81, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 324, 'analytic_conductor': 0.6467882563723711, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [81, 3, [2], [1]], 'conrey_index': 28, 'cusp_dim': 6, 'dim': 6, 'eis_dim': 24, 'eis_new_dim': 4, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 137472507985, 'hecke_orbit_dims': [2, 4], 'label': '81.2.c', 'level': 81, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 30, 'mf_new_dim': 10, 'num_forms': 2, 'prim_orbit_index': 3, 'relative_dim': 3, 'sturm_bound': 18, 'trace_bound': 1, 'trace_display': [0, 0, 0, -3], 'traces': [6, 0, 0, 0, 0, 0, -3, 0, 0, -12, 0, 0, -3, 0, 0, 6, 0, 0, -6, 0, 0, 12, 0, 0, 9, 0, 0, 12, 0, 0, -12, 0, 0, -18, 0, 0, -6, 0, 0, -6, 0, 0, -12, 0, 0, 24, 0, 0, 12, 0, 0, 12, 0, 0, 24, 0, 0, -6, 0, 0, 15, 0, 0, -12, 0, 0, 15, 0, 0, 12, 0, 0, -42, 0, 0, -18, 0, 0, -21, 0, 0, -48, 0, 0, 18, 0, 0, -12, 0, 0, -18, 0, 0, -24, 0, 0, 15, 0, 0, 12, 0, 0, -3, 0, 0, 0, 0, 0, 48, 0, 0, 24, 0, 0, 12, 0, 0, 96, 0, 0, 9, 0, 0, -24, 0, 0, 48, 0, 0, -6, 0, 0, -15, 0, 0, -36, 0, 0, -39, 0, 0, 36, 0, 0, -12, 0, 0, 36, 0, 0, -21, 0, 0, -48, 0, 0, -48, 0, 0, -18, 0, 0, -114, 0, 0, 48, 0, 0, 12, 0, 0, -24, 0, 0, 3, 0, 0, 18, 0, 0, -6, 0, 0, 12, 0, 0, 36, 0, 0, -24, 0, 0, -21, 0, 0, -6, 0, 0, 102, 0, 0, -24, 0, 0, -24, 0, 0, 60, 0, 0, 33, 0, 0, 0, 0, 0, 72, 0, 0, -12, 0, 0, 24, 0, 0, -12, 0, 0, 24, 0, 0, 6, 0, 0, -48, 0, 0, -36, 0, 0, -75, 0, 0, -24, 0, 0, 39, 0, 0, -42, 0, 0, -48, 0, 0, -54, 0, 0, 39, 0, 0, 24, 0, 0, 0, 0, 0, 30, 0, 0, 66, 0, 0, -6, 0, 0, -30, 0, 0, 24, 0, 0, 24, 0, 0, -12, 0, 0, 6, 0, 0, 0, 0, 0, 48, 0, 0, 60, 0, 0, 0, 0, 0, 48, 0, 0, -96, 0, 0, 48, 0, 0, 15, 0, 0, -60, 0, 0, 12, 0, 0, -24, 0, 0, -42, 0, 0, -24, 0, 0, -3, 0, 0, -120, 0, 0, -57, 0, 0, 18, 0, 0, -54, 0, 0, 66, 0, 0, 33, 0, 0, 72, 0, 0, -36, 0, 0, -72, 0, 0, 0, 0, 0, -6, 0, 0, -75, 0, 0, 84, 0, 0, 33, 0, 0, 24, 0, 0, -6, 0, 0, -60, 0, 0, -24, 0, 0, 84, 0, 0, -36, 0, 0, 18, 0, 0, 48, 0, 0, 0, 0, 0, 36, 0, 0, 24, 0, 0, 69, 0, 0, -42, 0, 0, 96, 0, 0, 24, 0, 0, 69, 0, 0, 0, 0, 0, 27, 0, 0, 12, 0, 0, 48, 0, 0, -18, 0, 0, -12, 0, 0, -36, 0, 0, -18, 0, 0, -12, 0, 0, 96, 0, 0, 12, 0, 0, -48, 0, 0, -24, 0, 0, -39, 0, 0, 90, 0, 0, -90, 0, 0, 48, 0, 0, -27, 0, 0, -192, 0, 0, -69, 0, 0, -24, 0, 0, -114, 0, 0, -18, 0, 0, -18, 0, 0, -192, 0, 0, -12, 0, 0, -36, 0, 0, -48, 0, 0, 36, 0, 0, 21, 0, 0, 60, 0, 0, 48, 0, 0, 6, 0, 0, 66, 0, 0, -24, 0, 0, 45, 0, 0, -12, 0, 0, 0, 0, 0, 54, 0, 0, 102, 0, 0, 54, 0, 0, -39, 0, 0, 48, 0, 0, 9, 0, 0, 30, 0, 0, 72, 0, 0, -42, 0, 0, -6, 0, 0, 72, 0, 0, 15, 0, 0, 48, 0, 0, 66, 0, 0, 6, 0, 0, 0, 0, 0, 132, 0, 0, -60, 0, 0, -114, 0, 0, -72, 0, 0, 12, 0, 0, 24, 0, 0, 156, 0, 0, -3, 0, 0, -42, 0, 0, -42, 0, 0, -24, 0, 0, -57, 0, 0, -48, 0, 0, -3, 0, 0, -6, 0, 0, -6, 0, 0, 30, 0, 0, 24, 0, 0, -84, 0, 0, 24, 0, 0, -36, 0, 0, -192, 0, 0, -18, 0, 0, 12, 0, 0, 96, 0, 0, 15, 0, 0, -48, 0, 0, 24, 0, 0, -60, 0, 0, 87, 0, 0, -96, 0, 0, -27, 0, 0, 96, 0, 0, -12, 0, 0, -12, 0, 0, -12, 0, 0, 24, 0, 0, 72, 0, 0, 18, 0, 0, -210, 0, 0, 48, 0, 0, -3, 0, 0, 36, 0, 0, 12, 0, 0, -36, 0, 0, 90, 0, 0, -18, 0, 0, 24, 0, 0, 84, 0, 0, 42, 0, 0, 36, 0, 0, 48, 0, 0, 0, 0, 0, 30, 0, 0, -72, 0, 0, -21, 0, 0, 6, 0, 0, 66, 0, 0, -12, 0, 0, -42, 0, 0, -120, 0, 0, 51, 0, 0, 48, 0, 0, -24, 0, 0, -96, 0, 0, -72, 0, 0, 12, 0, 0, -21, 0, 0, 12, 0, 0, 18, 0, 0, -18, 0, 0, -72, 0, 0, -84, 0, 0, 24, 0, 0, 24, 0, 0, 48, 0, 0, -84, 0, 0, 48, 0, 0, 48, 0, 0, 51, 0, 0, -96, 0, 0, -6, 0, 0, 42, 0, 0, -60, 0, 0, -48, 0, 0, 81, 0, 0, -6, 0, 0, 30, 0, 0, 36, 0, 0, 33, 0, 0, 0, 0, 0, -75, 0, 0, 0, 0, 0, 132, 0, 0, -24, 0, 0, -45, 0, 0, 48, 0, 0, -165, 0, 0, 60, 0, 0, 318, 0, 0, 120, 0, 0, 12, 0, 0, 120, 0, 0, 72, 0, 0, -72, 0, 0, 0, 0, 0, -6, 0, 0, 123, 0, 0, 24, 0, 0, -96, 0, 0, -42, 0, 0, -96, 0, 0, 48, 0, 0, 27, 0, 0, -36, 0, 0, -30, 0, 0, 72, 0, 0, -222, 0, 0, 24, 0, 0, 48, 0, 0, -48, 0, 0, 21, 0, 0, 36, 0, 0, -120, 0, 0, 84, 0, 0, -51, 0, 0, 48, 0, 0, 51, 0, 0, 12, 0, 0, 18, 0, 0, -66, 0, 0, -36, 0, 0, -120, 0, 0, -18, 0, 0, -66, 0, 0, -258, 0, 0, 72, 0, 0, 24, 0, 0, -84], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 71651
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '81.2.a.a', 'target_level': 81, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 71652
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '81.2.a.a', 'target_level': 81, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 71653
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '81.2.c.b', 'target_level': 81, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 71654
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '81.2.c.b', 'target_level': 81, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 71655
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '81.2.c.b', 'target_level': 81, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 71656
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '81.2.c.b', 'target_level': 81, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 71657
{'conductor': 27, 'degree': 6, 'multiplicity': 6, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '729.2.e.o', 'target_level': 729, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 71658
{'conductor': 27, 'degree': 6, 'multiplicity': 6, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '729.2.e.o', 'target_level': 729, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 71659
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1296.2.a.o', 'target_level': 1296, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 71660
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1296.2.a.o', 'target_level': 1296, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 71661
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1296.2.i.s', 'target_level': 1296, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 71662
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1296.2.i.s', 'target_level': 1296, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 71663
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1296.2.i.s', 'target_level': 1296, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 71664
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1296.2.i.s', 'target_level': 1296, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 71665
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2025.2.a.j', 'target_level': 2025, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 71666
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2025.2.a.j', 'target_level': 2025, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 71667
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2025.2.b.k', 'target_level': 2025, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 71668
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2025.2.b.k', 'target_level': 2025, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 71669
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3969.2.a.i', 'target_level': 3969, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 71670
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3969.2.a.i', 'target_level': 3969, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 71671
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '5184.2.a.bq', 'target_level': 5184, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 71672
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '5184.2.a.bq', 'target_level': 5184, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 71673
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 44, 'target_is_minimal': False, 'target_label': '5184.2.a.br', 'target_level': 5184, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 71674
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 44, 'target_is_minimal': False, 'target_label': '5184.2.a.br', 'target_level': 5184, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 71675
{'conductor': 99, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '9801.2.a.v', 'target_level': 9801, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '99.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 71676
{'conductor': 99, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '81.2.c.b', 'source_level': 81, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '9801.2.a.v', 'target_level': 9801, 'twist_class_label': '81.2.a.a', 'twist_class_level': 81, 'twisting_char_label': '99.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 253800
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 4503737099878481, 'p': 2}
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id: 253801
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503737099878481, 'p': 3}
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id: 253802
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 4503737099878481, 'p': 5}
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id: 253803
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 4503737099878481, 'p': 7}
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id: 253804
{'charpoly_factorization': [[[144, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 4503737099878481, 'p': 11}
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id: 253805
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 4503737099878481, 'p': 13}
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id: 253806
{'charpoly_factorization': [[[-27, 0, 1], 2]], 'hecke_orbit_code': 4503737099878481, 'p': 17}
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id: 253807
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 4503737099878481, 'p': 19}
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id: 253808
{'charpoly_factorization': [[[144, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 4503737099878481, 'p': 23}
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id: 253809
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 4503737099878481, 'p': 29}
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id: 253810
{'charpoly_factorization': [[[64, 8, 1], 2]], 'hecke_orbit_code': 4503737099878481, 'p': 31}
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id: 253811
{'charpoly_factorization': [[[7, 1], 4]], 'hecke_orbit_code': 4503737099878481, 'p': 37}
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id: 253812
{'charpoly_factorization': [[[2304, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 4503737099878481, 'p': 41}
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id: 253813
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 4503737099878481, 'p': 43}
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id: 253814
{'charpoly_factorization': [[[2304, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 4503737099878481, 'p': 47}
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id: 253815
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503737099878481, 'p': 53}
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id: 253816
{'charpoly_factorization': [[[36864, 0, 192, 0, 1], 1]], 'hecke_orbit_code': 4503737099878481, 'p': 59}
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id: 253817
{'charpoly_factorization': [[[49, -7, 1], 2]], 'hecke_orbit_code': 4503737099878481, 'p': 61}
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id: 253818
{'charpoly_factorization': [[[100, -10, 1], 2]], 'hecke_orbit_code': 4503737099878481, 'p': 67}
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id: 253819
{'charpoly_factorization': [[[-108, 0, 1], 2]], 'hecke_orbit_code': 4503737099878481, 'p': 71}
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id: 253820
{'charpoly_factorization': [[[7, 1], 4]], 'hecke_orbit_code': 4503737099878481, 'p': 73}
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id: 253821
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 4503737099878481, 'p': 79}
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id: 253822
{'charpoly_factorization': [[[36864, 0, 192, 0, 1], 1]], 'hecke_orbit_code': 4503737099878481, 'p': 83}
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id: 253823
{'charpoly_factorization': [[[-27, 0, 1], 2]], 'hecke_orbit_code': 4503737099878481, 'p': 89}
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id: 253824
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 4503737099878481, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 2, 'label': '81.2.c.b', 'level': 81, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 81074000
{'hecke_orbit_code': 4503737099878481, 'n': 1, 'trace_an': 4}
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id: 81074001
{'hecke_orbit_code': 4503737099878481, 'n': 2, 'trace_an': 0}
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id: 81074002
{'hecke_orbit_code': 4503737099878481, 'n': 3, 'trace_an': 0}
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id: 81074003
{'hecke_orbit_code': 4503737099878481, 'n': 4, 'trace_an': -2}
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id: 81074004
{'hecke_orbit_code': 4503737099878481, 'n': 5, 'trace_an': 0}
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id: 81074005
{'hecke_orbit_code': 4503737099878481, 'n': 6, 'trace_an': 0}
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id: 81074006
{'hecke_orbit_code': 4503737099878481, 'n': 7, 'trace_an': -4}
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id: 81074007
{'hecke_orbit_code': 4503737099878481, 'n': 8, 'trace_an': 0}
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id: 81074008
{'hecke_orbit_code': 4503737099878481, 'n': 9, 'trace_an': 0}
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id: 81074009
{'hecke_orbit_code': 4503737099878481, 'n': 10, 'trace_an': -12}
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id: 81074010
{'hecke_orbit_code': 4503737099878481, 'n': 11, 'trace_an': 0}
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id: 81074011
{'hecke_orbit_code': 4503737099878481, 'n': 12, 'trace_an': 0}
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id: 81074012
{'hecke_orbit_code': 4503737099878481, 'n': 13, 'trace_an': 2}
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id: 81074013
{'hecke_orbit_code': 4503737099878481, 'n': 14, 'trace_an': 0}
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id: 81074014
{'hecke_orbit_code': 4503737099878481, 'n': 15, 'trace_an': 0}
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id: 81074015
{'hecke_orbit_code': 4503737099878481, 'n': 16, 'trace_an': 10}
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id: 81074016
{'hecke_orbit_code': 4503737099878481, 'n': 17, 'trace_an': 0}
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id: 81074017
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