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mf_newforms • Show schema
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{'Nk2': 1728, 'analytic_conductor': 3.4495373673193126, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [432, 3, [271, 325, 353], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 145, 'conrey_indexes': [145, 289], 'dim': 4, 'field_disc': 1089, 'field_disc_factorization': [[3, 2], [11, 2]], 'field_poly': [9, -3, -2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [64, -8, 9, 1, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511348671480240, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '432.2.i.d', 'level': 432, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '72.2.i.b', 'nf_label': '4.0.1089.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\beta _{1}+\\beta _{3})q^{5}+(2-\\beta _{1}+\\beta _{2}-\\beta _{3})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '432.2.i', 'trace_display': [0, 0, -1, 3], 'trace_hash': 1296656161692020573, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.921', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '58.293', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, 1], [0, 0, 0, 0], [2, -1, 1, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-1, 1, 0, 0], [0, 0, 0, 0], [0, -3, 0, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [3, 0, 1, 0], [0, 0, 0, 0], [-3, 0, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -3, 0, 1], [0, 0, 0, 0], [-3, 4, 1, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-2, 1, -1, 1], [0, 0, 0, 0], [0, 3, 0, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [8, 0, 1, 0], [0, 0, 0, 0], [4, 0, 2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -5, 0, -2], [0, 0, 0, 0], [3, -5, -2, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-2, 1, -1, 1], [0, 0, 0, 0], [0, -2, 0, -3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [4, 0, -2, 0], [0, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -7, 0, 0], [0, 0, 0, 0], [0, -1, -1, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-8, 11, 3, -3], [0, 0, 0, 0], [0, 3, 0, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-4, 0, 0, 0], [0, 0, 0, 0], [-5, 0, -3, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, 1], [0, 0, 0, 0], [-4, 3, -1, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-12, 13, 1, -1], [0, 0, 0, 0], [0, 6, 0, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-6, 0, 0, 0], [0, 0, 0, 0], [4, 0, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 12, 0, -4], [0, 0, 0, 0], [3, -5, -2, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, 1], [2, -1, 1, -1], [-1, 1, 0, 0], [0, -3, 0, 1], [3, 0, 1, 0], [-3, 0, 1, 0], [0, -3, 0, 1], [-2, 1, -1, 1], [0, 3, 0, 1], [4, 0, 2, 0], [0, -5, 0, -2], [3, -5, -2, 2], [-2, 1, -1, 1], [4, 0, -2, 0], [0, -7, 0, 0], [0, -1, -1, 1], [0, 3, 0, -2], [-4, 0, 0, 0], [-5, 0, -3, 0], [-4, 3, -1, 1], [-12, 13, 1, -1], [-6, 0, 0, 0], [3, -5, -2, 2], [0, -3, -3, 3], [0, -9, 0, -1], [-1, 0, -5, 0], [0, 0, -2, 0], [0, -1, 0, -1], [-2, 0, -2, 0], [0, -15, 0, -1], [13, -11, 2, -2], [0, -1, 0, 2], [0, -5, 0, -1], [-2, 3, 1, -1], [0, -7, 0, 3], [12, 0, 0, 0], [0, 9, 0, 3], [-14, 13, -1, 1], [4, 0, 8, 0], [-10, 0, 4, 0], [2, -7, -5, 5], [0, 5, 0, -2], [-20, 0, 2, 0], [2, 0, 6, 0], [0, -13, 0, 1], [2, -9, -7, 7], [15, -15, 0, 0], [0, 1, 0, -7], [-3, 0, -1, 0], [0, -3, 0, 5], [-1, -1, -2, 2], [17, 0, -3, 0], [0, -9, 0, 4], [14, -11, 3, -3], [8, 0, 2, 0], [12, 0, 4, 0], [-22, 19, -3, 3], [-2, -3, -5, 5], [0, 7, 0, 5], [0, 23, 0, -1], [-29, 0, -1, 0], [0, 21, 0, -3], [3, -9, -6, 6], [14, -7, 7, -7], [-20, 15, -5, 5], [0, -7, 0, 8], [0, 5, 0, -10], [-24, 27, 3, -3], [-5, -3, -8, 8], [6, 0, 6, 0], [20, -21, -1, 1], [0, -11, 0, -3], [13, 0, -3, 0], [0, 9, 0, -9], [-6, 13, 7, -7], [-4, 0, -6, 0], [0, 3, 0, -6], [0, 1, 0, -2], [0, -11, 0, 7], [28, -25, 3, -3], [-6, 0, 2, 0], [25, 0, 3, 0], [0, 3, 3, -3], [-7, -3, -10, 10], [23, 0, -3, 0], [-1, 3, 2, -2], [-14, 17, 3, -3], [0, 11, 0, 9], [5, 0, 1, 0], [-6, 13, 7, -7], [-2, 0, -2, 0], [0, -7, 0, 2], [0, 7, 0, -8], [16, 0, -4, 0], [0, -21, 0, -3], [-5, 0, -3, 0], [4, 0, 4, 0], [-12, 0, 6, 0], [-21, 23, 2, -2], [14, 0, 0, 0], [0, -3, 0, -2], [13, -7, 6, -6], [0, -13, 0, -4], [3, 0, 5, 0], [5, -11, -6, 6], [26, 0, 0, 0], [0, -23, 0, -5], [13, -21, -8, 8], [0, -1, 0, -3], [-8, 0, -2, 0], [0, 11, 0, 8], [7, -1, 6, -6], [32, 0, 0, 0], [-11, 17, 6, -6], [0, 3, 0, 0], [10, 0, 10, 0], [0, -33, 0, 3], [-12, 9, -3, 3], [0, 9, 0, 11], [-2, 3, 1, -1], [-4, -3, -7, 7], [-13, 0, -1, 0], [8, -5, 3, -3], [26, 0, 4, 0], [12, -5, 7, -7], [36, 0, 4, 0], [18, -21, -3, 3], [0, 21, 0, 5], [-35, 0, -3, 0], [0, -39, 0, 1], [0, -41, 0, 1], [18, 0, -4, 0], [0, 11, 0, -9], [0, -23, 0, -3], [-10, 0, -8, 0], [0, -1, 0, 13], [0, 27, 0, -7], [-25, 0, 5, 0], [11, 0, -9, 0], [22, -23, -1, 1], [0, 35, 0, -3], [12, 0, 8, 0], [6, 0, 4, 0], [-4, -7, -11, 11], [-26, 23, -3, 3], [30, -27, 3, -3], [0, 11, 0, -4], [0, 0, -8, 0], [0, -11, 0, -5], [-6, 0, -8, 0], [-1, 0, -13, 0], [0, 5, 0, -5], [37, -37, 0, 0], [8, -11, -3, 3], [-22, 0, -6, 0], [2, 13, 15, -15], [30, 0, 0, 0], [0, -17, 0, 13], [49, -47, 2, -2], [15, 0, -3, 0], [0, -5, 0, -1], [4, 0, -4, 0], [0, 7, 0, -2], [-48, 45, -3, 3], [-32, 0, -8, 0], [-28, 19, -9, 9]], 'char_orbit_index': 9, 'field_poly': [9, -3, -2, -1, 1], 'hecke_orbit_code': 13511348671480240, 'hecke_ring_character_values': [[271, [1, 0, 0, 0]], [325, [1, 0, 0, 0]], [353, [0, -1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 6, 3, 3], 'hecke_ring_inverse_denominators': [1, 3, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [2, -2, 1, 1], [1, 8, 2, -1], [11, -2, -2, 4]], 'hecke_ring_numerators': [[1, 0, 0, 0], [-3, -2, 2, 1], [0, 5, 1, -1], [-9, 2, 1, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '432.2.i.d', 'level': 432, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1728, 'analytic_conductor': 3.4495373673193126, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [432, 3, [271, 325, 353], [3, 3, 1]], 'conrey_index': 145, 'cusp_dim': 108, 'dim': 10, 'eis_dim': 72, 'eis_new_dim': 4, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 549789368752, 'hecke_orbit_dims': [2, 2, 2, 4], 'label': '432.2.i', 'level': 432, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 180, 'mf_new_dim': 14, 'num_forms': 4, 'prim_orbit_index': 3, 'relative_dim': 5, 'sturm_bound': 144, 'trace_bound': 5, 'trace_display': [0, 0, 1, 1], 'traces': [10, 0, 0, 0, 1, 0, 1, 0, 0, 0, -7, 0, -1, 0, 0, 0, 8, 0, 4, 0, 0, 0, 5, 0, -2, 0, 0, 0, -3, 0, 7, 0, 0, 0, 30, 0, -4, 0, 0, 0, 3, 0, 7, 0, 0, 0, 15, 0, 0, 0, 0, 0, 4, 0, -6, 0, 0, 0, -25, 0, -1, 0, 0, 0, -17, 0, 1, 0, 0, 0, -56, 0, -16, 0, 0, 0, -21, 0, 1, 0, 0, 0, -29, 0, -6, 0, 0, 0, -12, 0, -22, 0, 0, 0, 28, 0, 5, 0, 0, 0, 21, 0, -17, 0, 0, 0, 60, 0, -4, 0, 0, 0, -15, 0, -27, 0, 0, 0, 30, 0, 10, 0, 0, 0, 18, 0, -8, 0, 0, 0, -47, 0, -8, 0, 0, 0, 27, 0, -11, 0, 0, 0, -58, 0, 6, 0, 0, 0, 17, 0, -11, 0, 0, 0, -29, 0, -1, 0, 0, 0, 30, 0, 40, 0, 0, 0, 45, 0, 6, 0, 0, 0, -39, 0, -8, 0, 0, 0, 72, 0, -28, 0, 0, 0, 42, 0, 12, 0, 0, 0, 39, 0, 5, 0, 0, 0, -84, 0, 64, 0, 0, 0, -15, 0, 21, 0, 0, 0, -22, 0, 19, 0, 0, 0, -82, 0, 34, 0, 0, 0, 2, 0, 25, 0, 0, 0, -39, 0, 11, 0, 0, 0, -56, 0, 18, 0, 0, 0, 37, 0, -7, 0, 0, 0, 26, 0, 56, 0, 0, 0, 100, 0, 18, 0, 0, 0, -37, 0, 50, 0, 0, 0, 35, 0, -18, 0, 0, 0, 116, 0, -32, 0, 0, 0, -14, 0, -1, 0, 0, 0, 29, 0, 7, 0, 0, 0, -90, 0, -14, 0, 0, 0, 45, 0, -27, 0, 0, 0, -25, 0, 25, 0, 0, 0, 58, 0, -116, 0, 0, 0, 45, 0, -7, 0, 0, 0, -3, 0, -57, 0, 0, 0, -28, 0, 80, 0, 0, 0, 27, 0, -47, 0, 0, 0, 55, 0, -19, 0, 0, 0, -58, 0, -94, 0, 0, 0, -33, 0, -13, 0, 0, 0, -25, 0, -36, 0, 0, 0, -24, 0, -42, 0, 0, 0, -74, 0, -23, 0, 0, 0, -42, 0, -25, 0, 0, 0, -126, 0, 76, 0, 0, 0, -3, 0, -21, 0, 0, 0, 49, 0, 6, 0, 0, 0, 38, 0, -4, 0, 0, 0, -45, 0, -7, 0, 0, 0, 6, 0, -7, 0, 0, 0, 6, 0, 114, 0, 0, 0, -27, 0, -1, 0, 0, 0, 46, 0, 23, 0, 0, 0, -56, 0, -40, 0, 0, 0, 56, 0, 73, 0, 0, 0, 25, 0, -30, 0, 0, 0, 136, 0, 30, 0, 0, 0, -9, 0, 5, 0, 0, 0, -83, 0, 55, 0, 0, 0, 36, 0, -14, 0, 0, 0, 13, 0, 46, 0, 0, 0, -5, 0, -2, 0, 0, 0, -166, 0, -56, 0, 0, 0, -21, 0, -42, 0, 0, 0, -36, 0, 25, 0, 0, 0, 24, 0, -18, 0, 0, 0, -3, 0, -22, 0, 0, 0, 23, 0, 21, 0, 0, 0, -112, 0, -128, 0, 0, 0, -10, 0, 40, 0, 0, 0, 3, 0, -60, 0, 0, 0, 16, 0, -76, 0, 0, 0, -38, 0, -77, 0, 0, 0, -24, 0, 49, 0, 0, 0, 220, 0, -94, 0, 0, 0, 23, 0, 33, 0, 0, 0, 55, 0, -83, 0, 0, 0, 112, 0, 32, 0, 0, 0, 51, 0, -54, 0, 0, 0, -7, 0, 4, 0, 0, 0, 148, 0, 156, 0, 0, 0, -3, 0, 17, 0, 0, 0, -10, 0, -5, 0, 0, 0, 6, 0, -4, 0, 0, 0, 63, 0, 19, 0, 0, 0, -78, 0, 37, 0, 0, 0, 24, 0, 208, 0, 0, 0, 32, 0, 42, 0, 0, 0, -65, 0, 85, 0, 0, 0, -8, 0, 102, 0, 0, 0, -123, 0, 69, 0, 0, 0, 15, 0, 47, 0, 0, 0, -72, 0, 54, 0, 0, 0, 29, 0, -13, 0, 0, 0, 85, 0, 59, 0, 0, 0, -148, 0, 54, 0, 0, 0, -38, 0, 61, 0, 0, 0, -45, 0, -48, 0, 0, 0, 12, 0, -16, 0, 0, 0, 69, 0, 35, 0, 0, 0, 11, 0, -3, 0, 0, 0, 128, 0, 10, 0, 0, 0, 24, 0, -11, 0, 0, 0, -8, 0, 23, 0, 0, 0, 74, 0, -164, 0, 0, 0, -103, 0, -15, 0, 0, 0, -120, 0, -77, 0, 0, 0, -74, 0, 44, 0, 0, 0, 77, 0, -94, 0, 0, 0, 11, 0, -49, 0, 0, 0, -180, 0, -104, 0, 0, 0, 42, 0, -12, 0, 0, 0, -101, 0, -89, 0, 0, 0, 54, 0, -50, 0, 0, 0, 13, 0, -54, 0, 0, 0, 80, 0, -27, 0, 0, 0, -88, 0, 124, 0, 0, 0, -84, 0, -62, 0, 0, 0, 45, 0, -17, 0, 0, 0, -104, 0, 20, 0, 0, 0, -98, 0, 9, 0, 0, 0, -21, 0, -2, 0, 0, 0, 264, 0, 148, 0, 0, 0, -6, 0, -61, 0, 0, 0, 69, 0, 85, 0, 0, 0, 224, 0, -66, 0, 0, 0, 43, 0, 65, 0, 0, 0, 63, 0, -61, 0, 0, 0, 68, 0, 76, 0, 0, 0, -71, 0, -8, 0, 0, 0, 48, 0, 156, 0, 0, 0, -54, 0, -168, 0, 0, 0, 90, 0, 139, 0, 0, 0, -25, 0, 33, 0, 0, 0, -114, 0, -152, 0, 0, 0, 52, 0, -40, 0, 0, 0, -19, 0, -6, 0, 0, 0, 100, 0, -4, 0, 0, 0, -135, 0, -63, 0, 0, 0, 93, 0, -74, 0, 0, 0, -120, 0, -318, 0, 0, 0, -51, 0, 72, 0, 0, 0, 83, 0, -101, 0, 0, 0, -48, 0, -38, 0, 0, 0, -57, 0, -78, 0, 0, 0, -129, 0, 42, 0, 0, 0, -122, 0, -176, 0, 0, 0, 92, 0, -37, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 314456
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '72.2.i.b', 'target_level': 72, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 314457
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '72.2.i.b', 'target_level': 72, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 314458
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '144.2.i.d', 'target_level': 144, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 314459
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '144.2.i.d', 'target_level': 144, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 314460
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '216.2.i.b', 'target_level': 216, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 314461
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '216.2.i.b', 'target_level': 216, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 314462
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '432.2.i.d', 'target_level': 432, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 314463
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '432.2.i.d', 'target_level': 432, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 314464
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '576.2.i.j', 'target_level': 576, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 314465
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '576.2.i.j', 'target_level': 576, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 314466
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '576.2.i.l', 'target_level': 576, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 314467
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '576.2.i.l', 'target_level': 576, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 314468
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '648.2.a.f', 'target_level': 648, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 314469
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '648.2.a.g', 'target_level': 648, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 314470
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1296.2.a.n', 'target_level': 1296, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 314471
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1296.2.a.p', 'target_level': 1296, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 314472
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1728.2.i.i', 'target_level': 1728, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 314473
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1728.2.i.i', 'target_level': 1728, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 314474
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1728.2.i.j', 'target_level': 1728, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 314475
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1728.2.i.j', 'target_level': 1728, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 314476
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '5184.2.a.bo', 'target_level': 5184, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 314477
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '5184.2.a.bp', 'target_level': 5184, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 314478
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '5184.2.a.bs', 'target_level': 5184, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 314479
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '432.2.i.d', 'source_level': 432, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '5184.2.a.bt', 'target_level': 5184, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 874475
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511348671480240, 'p': 2}
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id: 874476
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511348671480240, 'p': 3}
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id: 874477
{'charpoly_factorization': [[[64, -8, 9, 1, 1], 1]], 'hecke_orbit_code': 13511348671480240, 'p': 5}
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id: 874478
{'charpoly_factorization': [[[36, 18, 15, -3, 1], 1]], 'hecke_orbit_code': 13511348671480240, 'p': 7}
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id: 874479
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 13511348671480240, 'p': 11}
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id: 874480
{'charpoly_factorization': [[[4, -10, 27, 5, 1], 1]], 'hecke_orbit_code': 13511348671480240, 'p': 13}
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id: 874481
{'charpoly_factorization': [[[-2, -5, 1], 2]], 'hecke_orbit_code': 13511348671480240, 'p': 17}
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id: 874482
{'charpoly_factorization': [[[4, 7, 1], 2]], 'hecke_orbit_code': 13511348671480240, 'p': 19}
-
id: 874483
{'charpoly_factorization': [[[4, -10, 27, 5, 1], 1]], 'hecke_orbit_code': 13511348671480240, 'p': 23}
-
id: 874484
{'charpoly_factorization': [[[36, -18, 15, 3, 1], 1]], 'hecke_orbit_code': 13511348671480240, 'p': 29}
-
id: 874485
{'charpoly_factorization': [[[16, -28, 45, -7, 1], 1]], 'hecke_orbit_code': 13511348671480240, 'p': 31}
-
id: 874486
{'charpoly_factorization': [[[-24, -6, 1], 2]], 'hecke_orbit_code': 13511348671480240, 'p': 37}
-
id: 874487
{'charpoly_factorization': [[[9, 36, 141, 12, 1], 1]], 'hecke_orbit_code': 13511348671480240, 'p': 41}
-
id: 874488
{'charpoly_factorization': [[[289, 136, 81, -8, 1], 1]], 'hecke_orbit_code': 13511348671480240, 'p': 43}
-
id: 874489
{'charpoly_factorization': [[[36, -18, 15, 3, 1], 1]], 'hecke_orbit_code': 13511348671480240, 'p': 47}
-
id: 874490
{'charpoly_factorization': [[[-8, -10, 1], 2]], 'hecke_orbit_code': 13511348671480240, 'p': 53}
-
id: 874491
{'charpoly_factorization': [[[49, 7, 1], 2]], 'hecke_orbit_code': 13511348671480240, 'p': 59}
-
id: 874492
{'charpoly_factorization': [[[64, 8, 9, -1, 1], 1]], 'hecke_orbit_code': 13511348671480240, 'p': 61}
-
id: 874493
{'charpoly_factorization': [[[841, 116, 45, -4, 1], 1]], 'hecke_orbit_code': 13511348671480240, 'p': 67}
-
id: 874494
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 13511348671480240, 'p': 71}
-
id: 874495
{'charpoly_factorization': [[[-62, 7, 1], 2]], 'hecke_orbit_code': 13511348671480240, 'p': 73}
-
id: 874496
{'charpoly_factorization': [[[16, 28, 45, 7, 1], 1]], 'hecke_orbit_code': 13511348671480240, 'p': 79}
-
id: 874497
{'charpoly_factorization': [[[21904, 3700, 477, 25, 1], 1]], 'hecke_orbit_code': 13511348671480240, 'p': 83}
-
id: 874498
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 13511348671480240, 'p': 89}
-
id: 874499
{'charpoly_factorization': [[[289, 136, 81, -8, 1], 1]], 'hecke_orbit_code': 13511348671480240, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 4, 'label': '432.2.i.d', 'level': 432, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 143245000
{'hecke_orbit_code': 13511348671480240, 'n': 1, 'trace_an': 4}
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id: 143245001
{'hecke_orbit_code': 13511348671480240, 'n': 2, 'trace_an': 0}
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id: 143245002
{'hecke_orbit_code': 13511348671480240, 'n': 3, 'trace_an': 0}
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id: 143245003
{'hecke_orbit_code': 13511348671480240, 'n': 4, 'trace_an': 0}
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id: 143245004
{'hecke_orbit_code': 13511348671480240, 'n': 5, 'trace_an': -1}
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id: 143245005
{'hecke_orbit_code': 13511348671480240, 'n': 6, 'trace_an': 0}
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id: 143245006
{'hecke_orbit_code': 13511348671480240, 'n': 7, 'trace_an': 3}
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id: 143245007
{'hecke_orbit_code': 13511348671480240, 'n': 8, 'trace_an': 0}
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id: 143245008
{'hecke_orbit_code': 13511348671480240, 'n': 9, 'trace_an': 0}
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id: 143245009
{'hecke_orbit_code': 13511348671480240, 'n': 10, 'trace_an': 0}
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id: 143245010
{'hecke_orbit_code': 13511348671480240, 'n': 11, 'trace_an': -2}
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id: 143245011
{'hecke_orbit_code': 13511348671480240, 'n': 12, 'trace_an': 0}
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id: 143245012
{'hecke_orbit_code': 13511348671480240, 'n': 13, 'trace_an': -5}
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id: 143245013
{'hecke_orbit_code': 13511348671480240, 'n': 14, 'trace_an': 0}
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id: 143245014
{'hecke_orbit_code': 13511348671480240, 'n': 15, 'trace_an': 0}
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id: 143245015
{'hecke_orbit_code': 13511348671480240, 'n': 16, 'trace_an': 0}
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id: 143245016
{'hecke_orbit_code': 13511348671480240, 'n': 17, 'trace_an': 10}
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id: 143245017
{'hecke_orbit_code': 13511348671480240, 'n': 18, 'trace_an': 0}
-
id: 143245018
{'hecke_orbit_code': 13511348671480240, 'n': 19, 'trace_an': -14}
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id: 143245019
{'hecke_orbit_code': 13511348671480240, 'n': 20, 'trace_an': 0}
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id: 143245020
{'hecke_orbit_code': 13511348671480240, 'n': 21, 'trace_an': 0}
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id: 143245021
{'hecke_orbit_code': 13511348671480240, 'n': 22, 'trace_an': 0}
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id: 143245022
{'hecke_orbit_code': 13511348671480240, 'n': 23, 'trace_an': -5}
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id: 143245023
{'hecke_orbit_code': 13511348671480240, 'n': 24, 'trace_an': 0}
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id: 143245024
{'hecke_orbit_code': 13511348671480240, 'n': 25, 'trace_an': -7}
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id: 143245025
{'hecke_orbit_code': 13511348671480240, 'n': 26, 'trace_an': 0}
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id: 143245026
{'hecke_orbit_code': 13511348671480240, 'n': 27, 'trace_an': 0}
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id: 143245027
{'hecke_orbit_code': 13511348671480240, 'n': 28, 'trace_an': 0}
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id: 143245028
{'hecke_orbit_code': 13511348671480240, 'n': 29, 'trace_an': -3}
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id: 143245029
{'hecke_orbit_code': 13511348671480240, 'n': 30, 'trace_an': 0}
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id: 143245030
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