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mf_newforms • Show schema
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{'Nk2': 2800, 'analytic_conductor': 5.589528141489627, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 35, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 18, 'char_orbit_label': 'r', 'char_order': 6, 'char_parity': 1, 'char_values': [700, 6, [351, 477, 101], [6, 3, 2]], 'cm_discs': [], 'conrey_index': 149, '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': [[3, [1, 0, -1, 0, 1]], [11, [36, 6, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 1168264659644, 'hecke_ring_generator_nbound': 3, '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, 1, 5, 2, 1, 2, 0], [1, 1, 7, 3, 1, 3, 0], [1, 1, 35, 10, 1, 6, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '700.2.r.a', 'level': 700, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'minimal_twist': '140.2.i.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 10, 'qexp_display': 'q+\\zeta_{12}q^{3}+(\\zeta_{12}+2\\zeta_{12}^{3})q^{7}-2\\zeta_{12}^{2}q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '700.2.r', 'trace_display': [0, 0, 0, 0], 'trace_hash': 337199158690447122, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.822', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '84.436', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.273', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2871.865', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.516', 'prec': 17}, 'traces': [4, 0, 0, 0, 0, 0, 0, 0, -4, 0, -12, 0, 0, 0, 0, 0, 0, 0, 16, 0, -2, 0, 0, 0, 0, 0, 0, 0, -12, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, -12, 0, 0, 0, 0, 0, 0, 0, -22, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -2, 0, 0, 0, 0, 0, 0, 0, -6, 0, 20, 0, 0, 0, 0, 0, 0, 0, 48, 0, 6, 0, 0, 0, 0, 0, 0, 0, 34, 0, 32, 0, 0, 0, 0, 0, 0, 0, -12, 0, -50, 0, 0, 0, 0, 0, 0, 0, 10, 0, -24, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 20, 0, 0, 0, 0, 0, 0, 0, 24, 0, -24, 0, 0, 0, 0, 0, 0, 0, 36, 0, 32, 0, 0, 0, 0, 0, 0, 0, -12, 0, 68, 0, 0, 0, 0, 0, 0, 0, 50, 0, 36, 0, 0, 0, 0, 0, 0, 0, 40, 0, 14, 0, 0, 0, 0, 0, 0, 0, -192, 0, -16, 0, 0, 0, 0, 0, 0, 0, -20, 0, 24, 0, 0, 0, 0, 0, 0, 0, 4, 0, -48, 0, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, 2], [0, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [-6, 0, 6, 0], [0, 0, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 6, 0, 0], [0, 0, 0, 0], [0, 0, 8, 0], [0, 0, 0, 0], [-2, 0, 3, 0], [0, 0, 0, 0], [0, -3, 0, 3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -5], [0, 0, 0, 0], [-3, 0, 0, 0], [0, 0, 0, 0], [-2, 0, 2, 0], [0, 0, 0, 0], [0, -6, 0, 6], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 8, 0, -8], [0, 0, 0, 0], [2, 0, -2, 0], [0, 0, 0, 0], [-3, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -5], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-8, 0, 5, 0], [0, 0, 0, 0], [0, 0, 6, 0], [0, 0, 0, 0], [0, 12, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 8], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 0], [0, 4, 0, -6], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 7, 0, 0], [0, 0, 0, 0], [-3, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -10, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -18, 0, 6], [0, 0, 0, 0], [0, 0, -4, 0], [0, 0, 0, 0], [-1, 0, 1, 0], [0, 0, 0, 0], [0, 0, 0, -3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -3, 0, 0], [0, 0, 0, 0], [0, 0, -3, 0], [0, 0, 0, 0], [6, 0, -2, 0], [0, 0, 0, 0], [0, -2, 0, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -10], [0, 0, 0, 0], [12, 0, 0, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, 1, 0, 2], [-6, 0, 6, 0], [0, 0, 0, -2], [0, 6, 0, 0], [0, 0, 8, 0], [0, -3, 0, 3], [-3, 0, 0, 0], [-2, 0, 2, 0], [0, 8, 0, -8], [-3, 0, 0, 0], [0, 0, 0, -5], [0, 0, 0, 0], [0, 12, 0, 0], [0, 0, 0, 0], [0, 0, 1, 0], [0, 7, 0, 0], [0, 0, 0, 0], [0, -10, 0, 0], [0, 0, -4, 0], [0, 0, 0, -3], [0, 0, -3, 0], [0, 0, 0, -10], [3, 0, -3, 0], [0, 7, 0, -7], [0, -3, 0, 3], [17, 0, -17, 0], [0, 0, 0, 12], [0, 0, 0, 8], [0, 0, -12, 0], [0, 12, 0, 0], [-2, 0, 0, 0], [0, 0, -15, 0], [10, 0, -10, 0], [0, -14, 0, 0], [0, 16, 0, -16], [0, 0, 0, -21], [0, 0, 0, 0], [-6, 0, 6, 0], [17, 0, 0, 0], [0, 0, 18, 0], [0, 2, 0, 0], [0, 0, 0, -18], [20, 0, -20, 0], [-4, 0, 0, 0], [0, 0, 0, -8], [0, 12, 0, 0], [0, 0, 2, 0], [0, -6, 0, 6], [-6, 0, 0, 0], [-26, 0, 26, 0], [-18, 0, 0, 0], [0, -24, 0, 24], [0, -3, 0, 0], [-15, 0, 15, 0], [0, 0, 16, 0], [0, 22, 0, 0], [-6, 0, 0, 0], [0, 20, 0, 0], [0, 0, 0, 12], [0, 0, 0, -19], [0, 0, 0, 0], [0, 4, 0, -4], [0, 18, 0, -18], [0, 0, 22, 0], [0, 0, 0, 20], [0, 27, 0, 0], [1, 0, 0, 0], [0, -12, 0, 0], [0, 0, 6, 0], [0, -5, 0, 0], [0, 16, 0, -16], [-8, 0, 0, 0], [0, -3, 0, 3], [6, 0, -6, 0], [0, 26, 0, -26], [0, 0, -3, 0], [11, 0, -11, 0], [-24, 0, 0, 0], [23, 0, 0, 0], [-30, 0, 30, 0], [0, 0, 0, 28], [0, 0, -28, 0], [0, -9, 0, 9], [9, 0, 0, 0], [0, -4, 0, 4], [30, 0, 0, 0], [0, 0, 0, -29], [0, 33, 0, -33], [-30, 0, 30, 0], [0, -8, 0, 0], [6, 0, 0, 0], [0, 0, 2, 0], [0, 0, 0, 9], [0, 0, 39, 0], [-30, 0, 30, 0], [0, -44, 0, 44], [0, 0, -17, 0], [0, 0, 0, -19], [0, -30, 0, 0], [0, -9, 0, 0], [0, 0, -18, 0], [16, 0, -16, 0], [0, 10, 0, 0], [0, 0, 0, 12], [0, 12, 0, -12], [0, 0, 0, 0], [-22, 0, 0, 0], [0, -43, 0, 43], [0, 2, 0, 0], [0, 0, 0, -12], [14, 0, -14, 0], [38, 0, 0, 0], [39, 0, -39, 0], [0, 0, 0, -20], [0, -21, 0, 0], [0, 42, 0, -42], [-12, 0, 0, 0], [25, 0, -25, 0], [0, 0, 0, -32], [0, -18, 0, 18], [0, -15, 0, 0], [0, 0, -14, 0], [27, 0, 0, 0], [0, 0, -1, 0], [0, 0, -30, 0], [0, 0, 0, 23], [0, -2, 0, 2], [-46, 0, 46, 0], [0, 0, 0, 39], [0, 0, -20, 0], [0, 0, 0, 2], [0, 0, -30, 0], [34, 0, 0, 0], [0, -42, 0, 0], [0, 31, 0, 0], [0, 0, 0, -12], [-51, 0, 51, 0], [2, 0, 0, 0], [0, 0, -18, 0], [0, -49, 0, 0], [0, 0, 0, -45], [-10, 0, 10, 0], [42, 0, 0, 0], [0, 0, 0, -32], [0, -42, 0, 0], [0, 0, -4, 0], [0, -33, 0, 33], [0, -40, 0, 40], [9, 0, 0, 0], [0, 0, 0, 28], [0, 57, 0, -57], [0, -23, 0, 0], [30, 0, 0, 0], [0, 0, 8, 0], [0, 0, -45, 0], [0, 0, 0, 44], [-54, 0, 54, 0], [0, 9, 0, -9], [0, 0, 0, -36], [0, 0, 0, -7], [0, 0, 12, 0], [0, 54, 0, 0], [0, -39, 0, 0], [-26, 0, 26, 0], [0, -32, 0, 0]], 'char_orbit_index': 18, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 1168264659644, 'hecke_ring_character_values': [[351, [1, 0, 0, 0]], [477, [-1, 0, 0, 0]], [101, [0, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '700.2.r.a', 'level': 700, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2800, 'analytic_conductor': 5.589528141489627, 'char_conductor': 35, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 18, 'char_orbit_label': 'r', 'char_order': 6, 'char_parity': 1, 'char_values': [700, 6, [351, 477, 101], [6, 3, 2]], 'conrey_index': 149, 'cusp_dim': 204, 'dim': 24, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11], 'hecke_orbit_code': 1168264659644, 'hecke_orbit_dims': [4, 4, 4, 12], 'label': '700.2.r', 'level': 700, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'mf_dim': 276, 'mf_new_dim': 24, 'num_forms': 4, 'prim_orbit_index': 10, 'relative_dim': 12, 'sturm_bound': 240, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [24, 0, 0, 0, 0, 0, 0, 0, 20, 0, -10, 0, 0, 0, 0, 0, 0, 0, 10, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 16, 0, 76, 0, 0, 0, 0, 0, 0, 0, -24, 0, 24, 0, 0, 0, 0, 0, 0, 0, -8, 0, -44, 0, 0, 0, 0, 0, 0, 0, -36, 0, -44, 0, 0, 0, 0, 0, 0, 0, -28, 0, -68, 0, 0, 0, 0, 0, 0, 0, 22, 0, 26, 0, 0, 0, 0, 0, 0, 0, -12, 0, -24, 0, 0, 0, 0, 0, 0, 0, 22, 0, 140, 0, 0, 0, 0, 0, 0, 0, 112, 0, -10, 0, 0, 0, 0, 0, 0, 0, -32, 0, -20, 0, 0, 0, 0, 0, 0, 0, 8, 0, -168, 0, 0, 0, 0, 0, 0, 0, 30, 0, -42, 0, 0, 0, 0, 0, 0, 0, -72, 0, -108, 0, 0, 0, 0, 0, 0, 0, -16, 0, -46, 0, 0, 0, 0, 0, 0, 0, 6, 0, 88, 0, 0, 0, 0, 0, 0, 0, -58, 0, 24, 0, 0, 0, 0, 0, 0, 0, 66, 0, -70, 0, 0, 0, 0, 0, 0, 0, -168, 0, 52, 0, 0, 0, 0, 0, 0, 0, -98, 0, -30, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -32, 0, 0, 0, 0, 0, 0, 0, -66, 0, 84, 0, 0, 0, 0, 0, 0, 0, -82, 0, 78, 0, 0, 0, 0, 0, 0, 0, 72, 0, 2, 0, 0, 0, 0, 0, 0, 0, 196, 0, -104, 0, 0, 0, 0, 0, 0, 0, 58, 0, -22, 0, 0, 0, 0, 0, 0, 0, 162, 0, -30, 0, 0, 0, 0, 0, 0, 0, 280, 0, -6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 276, 0, 0, 0, 0, 0, 0, 0, 52, 0, 100, 0, 0, 0, 0, 0, 0, 0, -96, 0, 4, 0, 0, 0, 0, 0, 0, 0, -136, 0, 68, 0, 0, 0, 0, 0, 0, 0, 32, 0, -2, 0, 0, 0, 0, 0, 0, 0, 84, 0, 58, 0, 0, 0, 0, 0, 0, 0, -44, 0, 176, 0, 0, 0, 0, 0, 0, 0, -64, 0, 72, 0, 0, 0, 0, 0, 0, 0, -44, 0, 68, 0, 0, 0, 0, 0, 0, 0, 52, 0, -162, 0, 0, 0, 0, 0, 0, 0, 120, 0, -12, 0, 0, 0, 0, 0, 0, 0, -18, 0, -114, 0, 0, 0, 0, 0, 0, 0, -112, 0, 298, 0, 0, 0, 0, 0, 0, 0, -84, 0, -50, 0, 0, 0, 0, 0, 0, 0, 120, 0, -28, 0, 0, 0, 0, 0, 0, 0, 10, 0, -148, 0, 0, 0, 0, 0, 0, 0, -198, 0, 136, 0, 0, 0, 0, 0, 0, 0, 64, 0, -48, 0, 0, 0, 0, 0, 0, 0, -32, 0, 24, 0, 0, 0, 0, 0, 0, 0, 70, 0, -134, 0, 0, 0, 0, 0, 0, 0, -372, 0, -158, 0, 0, 0, 0, 0, 0, 0, 84, 0, -276, 0, 0, 0, 0, 0, 0, 0, 160, 0, -190, 0, 0, 0, 0, 0, 0, 0, 226, 0, 12, 0, 0, 0, 0, 0, 0, 0, 92, 0, 252, 0, 0, 0, 0, 0, 0, 0, -114, 0, 104, 0, 0, 0, 0, 0, 0, 0, -122, 0, -40, 0, 0, 0, 0, 0, 0, 0, 44, 0, -42, 0, 0, 0, 0, 0, 0, 0, -102, 0, -148, 0, 0, 0, 0, 0, 0, 0, -384, 0, 90, 0, 0, 0, 0, 0, 0, 0, -156, 0, -54, 0, 0, 0, 0, 0, 0, 0, 136, 0, -108, 0, 0, 0, 0, 0, 0, 0, 36, 0, 28, 0, 0, 0, 0, 0, 0, 0, -2, 0, -238, 0, 0, 0, 0, 0, 0, 0, 124, 0, -14, 0, 0, 0, 0, 0, 0, 0, 82, 0, -136, 0, 0, 0, 0, 0, 0, 0, 182, 0, 102, 0, 0, 0, 0, 0, 0, 0, 174, 0, 10, 0, 0, 0, 0, 0, 0, 0, -360, 0, 8, 0, 0, 0, 0, 0, 0, 0, 164, 0, -88, 0, 0, 0, 0, 0, 0, 0, 108, 0, 186, 0, 0, 0, 0, 0, 0, 0, 116, 0, 238, 0, 0, 0, 0, 0, 0, 0, -16, 0, -152, 0, 0, 0, 0, 0, 0, 0, -144, 0, -36, 0, 0, 0, 0, 0, 0, 0, -108, 0, -48, 0, 0, 0, 0, 0, 0, 0, -52, 0, -60, 0, 0, 0, 0, 0, 0, 0, -210, 0, 16, 0, 0, 0, 0, 0, 0, 0, -84, 0, 128, 0, 0, 0, 0, 0, 0, 0, 160, 0, 72, 0, 0, 0, 0, 0, 0, 0, -102, 0, 12, 0, 0, 0, 0, 0, 0, 0, 436, 0, -144, 0, 0, 0, 0, 0, 0, 0, -102, 0, 320, 0, 0, 0, 0, 0, 0, 0, -64, 0, -120, 0, 0, 0, 0, 0, 0, 0, 340, 0, 252, 0, 0, 0, 0, 0, 0, 0, -182, 0, -252, 0, 0, 0, 0, 0, 0, 0, -248, 0, -20, 0, 0, 0, 0, 0, 0, 0, 114, 0, -356, 0, 0, 0, 0, 0, 0, 0, -186, 0, -198, 0, 0, 0, 0, 0, 0, 0, 288, 0, 76, 0, 0, 0, 0, 0, 0, 0, -372, 0, 240, 0, 0, 0, 0, 0, 0, 0, -36, 0, 188, 0, 0, 0, 0, 0, 0, 0, -8, 0, -346, 0, 0, 0, 0, 0, 0, 0, 76, 0, -134, 0, 0, 0, 0, 0, 0, 0, -148, 0, -336, 0, 0, 0, 0, 0, 0, 0, 6, 0, 72, 0, 0, 0, 0, 0, 0, 0, -174, 0, 96, 0, 0, 0, 0, 0, 0, 0, 472, 0, 236, 0, 0, 0, 0, 0, 0, 0, -54, 0, 112, 0, 0, 0, 0, 0, 0, 0, 88, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 456259
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '140.2.i.a', 'target_level': 140, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 456260
{'conductor': 35, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '140.2.i.a', 'target_level': 140, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 456261
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '560.2.q.f', 'target_level': 560, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 456262
{'conductor': 140, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '560.2.q.f', 'target_level': 560, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '140.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 456263
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '700.2.i.b', 'target_level': 700, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 456264
{'conductor': 35, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '700.2.i.b', 'target_level': 700, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 456265
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '700.2.r.a', 'target_level': 700, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 456266
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '700.2.r.a', 'target_level': 700, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 456267
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '700.2.r.a', 'target_level': 700, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 456268
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '700.2.r.a', 'target_level': 700, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 456269
{'conductor': 35, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '980.2.a.e', 'target_level': 980, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 456270
{'conductor': 35, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '980.2.a.g', 'target_level': 980, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 456271
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '980.2.i.f', 'target_level': 980, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 456272
{'conductor': 35, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '980.2.i.f', 'target_level': 980, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 456273
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1260.2.s.c', 'target_level': 1260, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 456274
{'conductor': 105, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1260.2.s.c', 'target_level': 1260, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '105.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 456275
{'conductor': 140, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '3920.2.a.k', 'target_level': 3920, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '140.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 456276
{'conductor': 140, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '3920.2.a.w', 'target_level': 3920, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '140.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 456277
{'conductor': 35, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '4900.2.a.i', 'target_level': 4900, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 456278
{'conductor': 35, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '4900.2.a.q', 'target_level': 4900, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 456279
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '4900.2.e.m', 'target_level': 4900, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 456280
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '4900.2.e.m', 'target_level': 4900, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 456281
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '4900.2.e.n', 'target_level': 4900, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 456282
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '4900.2.e.n', 'target_level': 4900, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 456283
{'conductor': 105, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '8820.2.a.a', 'target_level': 8820, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '105.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 456284
{'conductor': 105, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '700.2.r.a', 'source_level': 700, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '8820.2.a.p', 'target_level': 8820, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '105.x', 'twisting_char_orbit': 24, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1220100
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1168264659644, 'p': 2}
-
id: 1220101
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 1168264659644, 'p': 3}
-
id: 1220102
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1168264659644, 'p': 5}
-
id: 1220103
{'charpoly_factorization': [[[49, 0, 11, 0, 1], 1]], 'hecke_orbit_code': 1168264659644, 'p': 7}
-
id: 1220104
{'charpoly_factorization': [[[36, 6, 1], 2]], 'hecke_orbit_code': 1168264659644, 'p': 11}
-
id: 1220105
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 1168264659644, 'p': 13}
-
id: 1220106
{'charpoly_factorization': [[[1296, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 1168264659644, 'p': 17}
-
id: 1220107
{'charpoly_factorization': [[[64, -8, 1], 2]], 'hecke_orbit_code': 1168264659644, 'p': 19}
-
id: 1220108
{'charpoly_factorization': [[[81, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 1168264659644, 'p': 23}
-
id: 1220109
{'charpoly_factorization': [[[3, 1], 4]], 'hecke_orbit_code': 1168264659644, 'p': 29}
-
id: 1220110
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 1168264659644, 'p': 31}
-
id: 1220111
{'charpoly_factorization': [[[4096, 0, -64, 0, 1], 1]], 'hecke_orbit_code': 1168264659644, 'p': 37}
-
id: 1220112
{'charpoly_factorization': [[[3, 1], 4]], 'hecke_orbit_code': 1168264659644, 'p': 41}
-
id: 1220113
{'charpoly_factorization': [[[25, 0, 1], 2]], 'hecke_orbit_code': 1168264659644, 'p': 43}
-
id: 1220114
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1168264659644, 'p': 47}
-
id: 1220115
{'charpoly_factorization': [[[20736, 0, -144, 0, 1], 1]], 'hecke_orbit_code': 1168264659644, 'p': 53}
-
id: 1220116
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1168264659644, 'p': 59}
-
id: 1220117
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 1168264659644, 'p': 61}
-
id: 1220118
{'charpoly_factorization': [[[2401, 0, -49, 0, 1], 1]], 'hecke_orbit_code': 1168264659644, 'p': 67}
-
id: 1220119
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1168264659644, 'p': 71}
-
id: 1220120
{'charpoly_factorization': [[[10000, 0, -100, 0, 1], 1]], 'hecke_orbit_code': 1168264659644, 'p': 73}
-
id: 1220121
{'charpoly_factorization': [[[16, 4, 1], 2]], 'hecke_orbit_code': 1168264659644, 'p': 79}
-
id: 1220122
{'charpoly_factorization': [[[9, 0, 1], 2]], 'hecke_orbit_code': 1168264659644, 'p': 83}
-
id: 1220123
{'charpoly_factorization': [[[9, 3, 1], 2]], 'hecke_orbit_code': 1168264659644, 'p': 89}
-
id: 1220124
{'charpoly_factorization': [[[100, 0, 1], 2]], 'hecke_orbit_code': 1168264659644, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 18, 'hecke_orbit': 1, 'label': '700.2.r.a', 'level': 700, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 12400578
{'hecke_orbit_code': 1168264659644, 'n': 1, 'trace_an': 4}
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id: 12400579
{'hecke_orbit_code': 1168264659644, 'n': 2, 'trace_an': 0}
-
id: 12400580
{'hecke_orbit_code': 1168264659644, 'n': 3, 'trace_an': 0}
-
id: 12400581
{'hecke_orbit_code': 1168264659644, 'n': 4, 'trace_an': 0}
-
id: 12400582
{'hecke_orbit_code': 1168264659644, 'n': 5, 'trace_an': 0}
-
id: 12400583
{'hecke_orbit_code': 1168264659644, 'n': 6, 'trace_an': 0}
-
id: 12400584
{'hecke_orbit_code': 1168264659644, 'n': 7, 'trace_an': 0}
-
id: 12400585
{'hecke_orbit_code': 1168264659644, 'n': 8, 'trace_an': 0}
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id: 12400586
{'hecke_orbit_code': 1168264659644, 'n': 9, 'trace_an': -4}
-
id: 12400587
{'hecke_orbit_code': 1168264659644, 'n': 10, 'trace_an': 0}
-
id: 12400588
{'hecke_orbit_code': 1168264659644, 'n': 11, 'trace_an': -12}
-
id: 12400589
{'hecke_orbit_code': 1168264659644, 'n': 12, 'trace_an': 0}
-
id: 12400590
{'hecke_orbit_code': 1168264659644, 'n': 13, 'trace_an': 0}
-
id: 12400591
{'hecke_orbit_code': 1168264659644, 'n': 14, 'trace_an': 0}
-
id: 12400592
{'hecke_orbit_code': 1168264659644, 'n': 15, 'trace_an': 0}
-
id: 12400593
{'hecke_orbit_code': 1168264659644, 'n': 16, 'trace_an': 0}
-
id: 12400594
{'hecke_orbit_code': 1168264659644, 'n': 17, 'trace_an': 0}
-
id: 12400595
{'hecke_orbit_code': 1168264659644, 'n': 18, 'trace_an': 0}
-
id: 12400596
{'hecke_orbit_code': 1168264659644, 'n': 19, 'trace_an': 16}
-
id: 12400597
{'hecke_orbit_code': 1168264659644, 'n': 20, 'trace_an': 0}
-
id: 12400598
{'hecke_orbit_code': 1168264659644, 'n': 21, 'trace_an': -2}
-
id: 12400599
{'hecke_orbit_code': 1168264659644, 'n': 22, 'trace_an': 0}
-
id: 12400600
{'hecke_orbit_code': 1168264659644, 'n': 23, 'trace_an': 0}
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