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mf_newforms • Show schema
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{'Nk2': 1792, 'analytic_conductor': 3.577298010553361, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, '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': [448, 3, [127, 197, 129], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 65, 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, 2, 0, 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': [[3, [1, 2, 5, -2, 1]], [5, [49, 14, 11, -2, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532946435703232, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 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': '448.2.i.j', 'level': 448, '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, 7], 'level_radical': 14, 'minimal_twist': '224.2.i.a', 'nf_label': '4.0.576.2', 'prim_orbit_index': 3, 'qexp_display': 'q+(1+\\beta _{1}+\\beta _{2})q^{3}+(-2\\beta _{1}-\\beta _{2}-2\\beta _{3})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': '448.2.i', 'trace_display': [0, 2, 2, -4], 'trace_hash': 426305004472823583, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.810', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.147', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [1, 1, 1, 0], [0, 0, 0, 0], [0, -2, -1, -2], [0, 0, 0, 0], [-1, 2, 0, 1], [0, 0, 0, 0], [0, 2, 0, 2], [0, 0, 0, 0], [-1, 1, -1, 0], [0, 0, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [5, 0, 0, -3], [0, 0, 0, 0], [3, 2, 3, 0], [0, 0, 0, 0], [0, 1, -5, 1], [0, 0, 0, 0], [-3, 0, 1, 2], [0, 0, 0, 0], [0, 3, -1, 3], [0, 0, 0, 0], [-4, -4, -4, 0], [0, 0, 0, 0], [-1, 0, 0, -1], [0, 0, 0, 0], [0, 0, 0, 2], [0, 0, 0, 0], [-7, -1, -7, 0], [0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 0], [8, 3, 5, 1], [0, 0, 0, 0], [0, 4, -3, 4], [0, 0, 0, 0], [4, 2, 4, 0], [0, 0, 0, 0], [-4, 0, 0, -2], [0, 0, 0, 0], [-4, 0, 0, -4], [0, 0, 0, 0], [8, 2, 8, 0], [0, 0, 0, 0], [0, -1, 9, -1], [0, 0, 0, 0], [-5, -4, 0, -2], [0, 0, 0, 0], [0, 5, 7, 5], [0, 0, 0, 0], [-1, 0, -1, 0], [0, 0, 0, 0], [3, 0, 0, 1], [0, 0, 0, 0], [3, 0, 0, -4], [0, 0, 0, 0], [1, -7, 1, 0], [0, 0, 0, 0], [0, 4, -3, 4], [0, 0, 0, 0], [-8, -2, -4, -2], [0, 0, 0, 0], [0, -2, -8, -2], [0, 0, 0, 0], [-7, -3, -7, 0], [0, 0, 0, 0], [-5, 0, 0, 2], [0, 0, 0, 0], [8, 0, 0, 4], [0, 0, 0, 0], [9, -4, 9, 0], [0, 0, 0, 0], [0, -8, -12, -8], [0, 0, 0, 0], [-1, -2, 3, -2], [0, 0, 0, 0], [0, -5, -1, -5], [0, 0, 0, 0], [1, 6, 1, 0], [0, 0, 0, 0], [-4, 0, 0, 8], [0, 0, 0, 0], [11, 0, 0, -8], [0, 0, 0, 0], [-4, -2, -4, 0], [0, 0, 0, 0], [0, 0, -9, 0], [0, 0, 0, 0], [4, 0, 8, 2], [0, 0, 0, 0], [0, -8, -9, -8], [0, 0, 0, 0], [-1, -9, -1, 0], [0, 0, 0, 0], [-4, 0, 0, 2], [0, 0, 0, 0], [-4, 0, 0, -2], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [1, 1, 1, 0], [0, -2, -1, -2], [-1, 2, 0, 1], [-1, 1, -1, 0], [0, 0, 0, -2], [3, 2, 3, 0], [0, 1, -5, 1], [0, 3, -1, 3], [0, 0, 0, 2], [-7, -1, -7, 0], [0, 4, -3, 4], [-4, 0, 0, -2], [-4, 0, 0, -4], [0, -1, 9, -1], [-1, 0, -1, 0], [1, -7, 1, 0], [0, 4, -3, 4], [-7, -3, -7, 0], [8, 0, 0, 4], [9, -4, 9, 0], [0, -5, -1, -5], [-4, 0, 0, 8], [0, 0, -9, 0], [-4, 0, 0, 2], [5, -6, 5, 0], [0, -1, 7, -1], [0, -7, 3, -7], [-11, -2, -11, 0], [4, 0, 0, 10], [0, 0, 0, -4], [0, 9, 5, 9], [3, 10, 3, 0], [-4, 0, 0, -8], [0, -2, -9, -2], [9, 7, 9, 0], [15, 4, 15, 0], [0, -3, -11, -3], [2, 0, 0, 0], [0, 0, -11, 0], [7, 1, 7, 0], [-2, 0, 0, 8], [0, 7, 1, 7], [-5, -10, -5, 0], [16, 0, 0, 2], [-7, 3, -7, 0], [12, 0, 0, 0], [8, 0, 0, -4], [-9, 5, -9, 0], [0, 2, 7, 2], [0, 2, 5, 2], [-10, 0, 0, 8], [1, 8, 1, 0], [14, 0, 0, 12], [0, 6, 13, 6], [-1, 7, -1, 0], [7, -4, 7, 0], [0, 15, -9, 15], [-1, -8, -1, 0], [-4, 0, 0, -6], [7, 1, 7, 0], [-6, 0, 0, -16], [-20, 0, 0, 4], [23, 3, 23, 0], [0, 20, -1, 20], [0, 8, 21, 8], [0, 1, -27, 1], [12, 0, 0, -2], [25, -7, 25, 0], [-8, 0, 0, 2], [-5, -2, -5, 0], [0, -13, -7, -13], [-17, -9, -17, 0], [0, -8, -3, -8], [18, 0, 0, 12], [0, 3, -7, 3], [21, 2, 21, 0], [0, 2, 7, 2], [0, -2, 5, -2], [11, 18, 11, 0], [-4, 0, 0, -4], [8, 0, 0, 6], [17, 3, 17, 0], [20, 0, 0, -6], [0, -21, -7, -21], [0, 5, 19, 5], [4, 0, 0, -2], [0, -20, -9, -20], [0, 0, 0, 18], [0, 0, 0, -8], [0, -11, -3, -11], [-1, -21, -1, 0], [-1, -9, -1, 0], [2, 0, 0, -4], [0, -11, -11, -11], [-16, 0, 0, 4], [0, 6, -33, 6], [-7, 0, -7, 0], [0, 9, -5, 9], [0, -2, 23, -2], [6, 0, 0, -12], [-3, -2, -3, 0], [-7, 5, -7, 0], [0, -4, 31, -4], [-17, 1, -17, 0], [-39, 0, -39, 0], [-12, 0, 0, -12], [0, -6, -3, -6], [-9, 19, -9, 0], [12, 0, 0, 10], [0, -13, 17, -13], [13, 6, 13, 0], [-12, 0, 0, 22], [25, 5, 25, 0], [24, 0, 0, 4], [17, 0, 17, 0], [-28, 0, 0, 12], [-1, 19, -1, 0], [0, -24, 5, -24], [-12, 0, 0, -16], [-25, 4, -25, 0], [12, 0, 0, -10], [0, -14, -1, -14], [-33, -11, -33, 0], [0, 17, -3, 17], [-14, 0, 0, 0], [0, -28, -3, -28], [0, -17, 7, -17], [40, 0, 0, -4], [0, -8, -35, -8], [23, 21, 23, 0], [32, 0, 0, -4], [0, -9, 9, -9], [-8, 0, 0, 10], [0, 22, -11, 22], [28, 0, 0, -10], [5, 10, 5, 0], [25, -15, 25, 0], [-16, 0, 0, -22], [1, -12, 1, 0], [12, 0, 0, 4], [0, 10, -1, 10], [7, -29, 7, 0], [-36, 0, 0, -4], [21, 14, 21, 0], [8, 0, 0, -8], [32, 0, 0, 6], [-31, -4, -31, 0], [0, -11, -21, -11], [0, -13, 15, -13], [0, 30, -9, 30], [-26, 0, 0, 0], [-4, 0, 0, 32], [0, 7, 41, 7], [-7, -23, -7, 0], [8, 0, 0, 0], [0, 11, 9, 11], [0, -4, -25, -4], [-6, 0, 0, 16], [7, 32, 7, 0], [0, -15, -3, -15], [4, 0, 0, -22], [-24, 0, 0, 4], [0, 1, 37, 1], [43, 6, 43, 0], [17, 31, 17, 0], [15, -21, 15, 0], [-17, 20, -17, 0]], 'char_orbit_index': 9, 'field_poly': [4, 0, 2, 0, 1], 'hecke_orbit_code': 40532946435703232, 'hecke_ring_character_values': [[127, [1, 0, 0, 0]], [197, [1, 0, 0, 0]], [129, [0, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 2, 0], [0, 0, 0, 2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '448.2.i.j', 'level': 448, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1792, 'analytic_conductor': 3.577298010553361, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [448, 3, [127, 197, 129], [3, 3, 1]], 'conrey_index': 65, 'cusp_dim': 104, 'dim': 28, 'eis_dim': 48, 'eis_new_dim': 8, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 549789368768, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 4, 4, 4], 'label': '448.2.i', 'level': 448, '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, 7], 'level_radical': 14, 'mf_dim': 152, 'mf_new_dim': 36, 'num_forms': 10, 'prim_orbit_index': 3, 'relative_dim': 14, 'sturm_bound': 128, 'trace_bound': 5, 'trace_display': [0, 0, 2, 0], 'traces': [28, 0, 0, 0, 2, 0, 0, 0, -12, 0, 0, 0, 24, 0, 0, 0, -2, 0, 0, 0, -18, 0, 0, 0, -8, 0, 0, 0, 24, 0, 0, 0, 10, 0, 0, 0, -14, 0, 0, 0, -8, 0, 0, 0, -12, 0, 0, 0, -4, 0, 0, 0, -6, 0, 0, 0, 4, 0, 0, 0, 18, 0, 0, 0, -12, 0, 0, 0, -4, 0, 0, 0, -2, 0, 0, 0, 14, 0, 0, 0, 10, 0, 0, 0, 36, 0, 0, 0, 14, 0, 0, 0, -18, 0, 0, 0, -40, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, -38, 0, 0, 0, -40, 0, 0, 0, -24, 0, 0, 0, 36, 0, 0, 0, -156, 0, 0, 0, -40, 0, 0, 0, 54, 0, 0, 0, 14, 0, 0, 0, -100, 0, 0, 0, -44, 0, 0, 0, 66, 0, 0, 0, 40, 0, 0, 0, 42, 0, 0, 0, -22, 0, 0, 0, 58, 0, 0, 0, -60, 0, 0, 0, -46, 0, 0, 0, 26, 0, 0, 0, 24, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -8, 0, 0, 0, 10, 0, 0, 0, 36, 0, 0, 0, 68, 0, 0, 0, 48, 0, 0, 0, 90, 0, 0, 0, 108, 0, 0, 0, 96, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 316, 0, 0, 0, 46, 0, 0, 0, -110, 0, 0, 0, -24, 0, 0, 0, 60, 0, 0, 0, -34, 0, 0, 0, -56, 0, 0, 0, -20, 0, 0, 0, -22, 0, 0, 0, -52, 0, 0, 0, -70, 0, 0, 0, -136, 0, 0, 0, 174, 0, 0, 0, 32, 0, 0, 0, -40, 0, 0, 0, 38, 0, 0, 0, 64, 0, 0, 0, 2, 0, 0, 0, -68, 0, 0, 0, -18, 0, 0, 0, -78, 0, 0, 0, 132, 0, 0, 0, -48, 0, 0, 0, -6, 0, 0, 0, -172, 0, 0, 0, 24, 0, 0, 0, -82, 0, 0, 0, -110, 0, 0, 0, -360, 0, 0, 0, 30, 0, 0, 0, -66, 0, 0, 0, -28, 0, 0, 0, -156, 0, 0, 0, 40, 0, 0, 0, 50, 0, 0, 0, -144, 0, 0, 0, 96, 0, 0, 0, 32, 0, 0, 0, 74, 0, 0, 0, 36, 0, 0, 0, -126, 0, 0, 0, -2, 0, 0, 0, 204, 0, 0, 0, -18, 0, 0, 0, 30, 0, 0, 0, -8, 0, 0, 0, 120, 0, 0, 0, 104, 0, 0, 0, 68, 0, 0, 0, -104, 0, 0, 0, -58, 0, 0, 0, -108, 0, 0, 0, 126, 0, 0, 0, -40, 0, 0, 0, -2, 0, 0, 0, 14, 0, 0, 0, 408, 0, 0, 0, -130, 0, 0, 0, 14, 0, 0, 0, 24, 0, 0, 0, 120, 0, 0, 0, -44, 0, 0, 0, -44, 0, 0, 0, 36, 0, 0, 0, -52, 0, 0, 0, -32, 0, 0, 0, -96, 0, 0, 0, 204, 0, 0, 0, 130, 0, 0, 0, -78, 0, 0, 0, -228, 0, 0, 0, -66, 0, 0, 0, -40, 0, 0, 0, 92, 0, 0, 0, 176, 0, 0, 0, 58, 0, 0, 0, -94, 0, 0, 0, -212, 0, 0, 0, -44, 0, 0, 0, 74, 0, 0, 0, -230, 0, 0, 0, 116, 0, 0, 0, -44, 0, 0, 0, 78, 0, 0, 0, -740, 0, 0, 0, -114, 0, 0, 0, 96, 0, 0, 0, 8, 0, 0, 0, -276, 0, 0, 0, -66, 0, 0, 0, 30, 0, 0, 0, 56, 0, 0, 0, 4, 0, 0, 0, -180, 0, 0, 0, 138, 0, 0, 0, -72, 0, 0, 0, -178, 0, 0, 0, 38, 0, 0, 0, 196, 0, 0, 0, 104, 0, 0, 0, 120, 0, 0, 0, 46, 0, 0, 0, 336, 0, 0, 0, 26, 0, 0, 0, 146, 0, 0, 0, 104, 0, 0, 0, -38, 0, 0, 0, 314, 0, 0, 0, 320, 0, 0, 0, 24, 0, 0, 0, 162, 0, 0, 0, 26, 0, 0, 0, 644, 0, 0, 0, 68, 0, 0, 0, -32, 0, 0, 0, -68, 0, 0, 0, 248, 0, 0, 0, -94, 0, 0, 0, -14, 0, 0, 0, 148, 0, 0, 0, -48, 0, 0, 0, 74, 0, 0, 0, -48, 0, 0, 0, -228, 0, 0, 0, 274, 0, 0, 0, 170, 0, 0, 0, -344, 0, 0, 0, 50, 0, 0, 0, -10, 0, 0, 0, -120, 0, 0, 0, -264, 0, 0, 0, -66, 0, 0, 0, -244, 0, 0, 0, 216, 0, 0, 0, 138, 0, 0, 0, 32, 0, 0, 0, -240, 0, 0, 0, 204, 0, 0, 0, -114, 0, 0, 0, -172, 0, 0, 0, -488, 0, 0, 0, 268, 0, 0, 0, -186, 0, 0, 0, -34, 0, 0, 0, -260, 0, 0, 0, 72, 0, 0, 0, 66, 0, 0, 0, -176, 0, 0, 0, 90, 0, 0, 0, 174, 0, 0, 0, 98, 0, 0, 0, -124, 0, 0, 0, -146, 0, 0, 0, -86, 0, 0, 0, 376, 0, 0, 0, -162, 0, 0, 0, 60, 0, 0, 0, -30, 0, 0, 0, -132, 0, 0, 0, -24, 0, 0, 0, 194, 0, 0, 0, -72, 0, 0, 0, -118, 0, 0, 0, -416, 0, 0, 0, 214, 0, 0, 0, -168, 0, 0, 0, -10, 0, 0, 0, -76, 0, 0, 0, 888, 0, 0, 0, -184, 0, 0, 0, -58, 0, 0, 0, -56, 0, 0, 0, 144, 0, 0, 0, 110, 0, 0, 0, -50, 0, 0, 0, -168, 0, 0, 0, 42, 0, 0, 0, -146, 0, 0, 0, -52, 0, 0, 0, 184, 0, 0, 0, 260, 0, 0, 0, -84, 0, 0, 0, -540, 0, 0, 0, 18, 0, 0, 0, -96, 0, 0, 0, 30, 0, 0, 0, -264, 0, 0, 0, 36, 0, 0, 0, -136, 0, 0, 0, -28, 0, 0, 0, 122, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 326835
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '224.2.i.a', 'target_level': 224, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 326836
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '224.2.i.a', 'target_level': 224, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 326837
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '224.2.i.d', 'target_level': 224, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 326838
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '224.2.i.d', 'target_level': 224, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 326839
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '448.2.i.g', 'target_level': 448, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 326840
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '448.2.i.g', 'target_level': 448, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 326841
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '448.2.i.j', 'target_level': 448, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 326842
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '448.2.i.j', 'target_level': 448, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 326843
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1568.2.a.j', 'target_level': 1568, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '56.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 326844
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1568.2.a.l', 'target_level': 1568, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 326845
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '1568.2.a.u', 'target_level': 1568, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '56.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 326846
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '1568.2.a.w', 'target_level': 1568, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 326847
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1568.2.i.o', 'target_level': 1568, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 326848
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1568.2.i.o', 'target_level': 1568, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '56.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 326849
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '1568.2.i.x', 'target_level': 1568, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 326850
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '1568.2.i.x', 'target_level': 1568, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '56.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 326851
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '2016.2.s.q', 'target_level': 2016, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 326852
{'conductor': 168, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '2016.2.s.q', 'target_level': 2016, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '168.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 326853
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '2016.2.s.s', 'target_level': 2016, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 326854
{'conductor': 168, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '2016.2.s.s', 'target_level': 2016, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '168.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 326855
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '3136.2.a.bd', 'target_level': 3136, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 326856
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '3136.2.a.be', 'target_level': 3136, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 326857
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 49, 'target_is_minimal': False, 'target_label': '3136.2.a.bw', 'target_level': 3136, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 326858
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '448.2.i.j', 'source_level': 448, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 50, 'target_is_minimal': False, 'target_label': '3136.2.a.bx', 'target_level': 3136, 'twist_class_label': '224.2.i.a', 'twist_class_level': 224, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 902550
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 40532946435703232, 'p': 2}
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id: 902551
{'charpoly_factorization': [[[1, 2, 5, -2, 1], 1]], 'hecke_orbit_code': 40532946435703232, 'p': 3}
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id: 902552
{'charpoly_factorization': [[[49, 14, 11, -2, 1], 1]], 'hecke_orbit_code': 40532946435703232, 'p': 5}
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id: 902553
{'charpoly_factorization': [[[7, 2, 1], 2]], 'hecke_orbit_code': 40532946435703232, 'p': 7}
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id: 902554
{'charpoly_factorization': [[[1, -2, 5, 2, 1], 1]], 'hecke_orbit_code': 40532946435703232, 'p': 11}
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id: 902555
{'charpoly_factorization': [[[-8, 0, 1], 2]], 'hecke_orbit_code': 40532946435703232, 'p': 13}
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id: 902556
{'charpoly_factorization': [[[1, -6, 35, -6, 1], 1]], 'hecke_orbit_code': 40532946435703232, 'p': 17}
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id: 902557
{'charpoly_factorization': [[[529, -230, 77, -10, 1], 1]], 'hecke_orbit_code': 40532946435703232, 'p': 19}
-
id: 902558
{'charpoly_factorization': [[[289, 34, 21, -2, 1], 1]], 'hecke_orbit_code': 40532946435703232, 'p': 23}
-
id: 902559
{'charpoly_factorization': [[[-8, 0, 1], 2]], 'hecke_orbit_code': 40532946435703232, 'p': 29}
-
id: 902560
{'charpoly_factorization': [[[2209, 658, 149, 14, 1], 1]], 'hecke_orbit_code': 40532946435703232, 'p': 31}
-
id: 902561
{'charpoly_factorization': [[[529, 138, 59, -6, 1], 1]], 'hecke_orbit_code': 40532946435703232, 'p': 37}
-
id: 902562
{'charpoly_factorization': [[[8, 8, 1], 2]], 'hecke_orbit_code': 40532946435703232, 'p': 41}
-
id: 902563
{'charpoly_factorization': [[[-16, 8, 1], 2]], 'hecke_orbit_code': 40532946435703232, 'p': 43}
-
id: 902564
{'charpoly_factorization': [[[6241, 1422, 245, 18, 1], 1]], 'hecke_orbit_code': 40532946435703232, 'p': 47}
-
id: 902565
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 40532946435703232, 'p': 53}
-
id: 902566
{'charpoly_factorization': [[[9409, 194, 101, -2, 1], 1]], 'hecke_orbit_code': 40532946435703232, 'p': 59}
-
id: 902567
{'charpoly_factorization': [[[529, 138, 59, -6, 1], 1]], 'hecke_orbit_code': 40532946435703232, 'p': 61}
-
id: 902568
{'charpoly_factorization': [[[961, 434, 165, 14, 1], 1]], 'hecke_orbit_code': 40532946435703232, 'p': 67}
-
id: 902569
{'charpoly_factorization': [[[32, -16, 1], 2]], 'hecke_orbit_code': 40532946435703232, 'p': 71}
-
id: 902570
{'charpoly_factorization': [[[2401, -882, 275, -18, 1], 1]], 'hecke_orbit_code': 40532946435703232, 'p': 73}
-
id: 902571
{'charpoly_factorization': [[[2401, 98, 53, -2, 1], 1]], 'hecke_orbit_code': 40532946435703232, 'p': 79}
-
id: 902572
{'charpoly_factorization': [[[-112, 8, 1], 2]], 'hecke_orbit_code': 40532946435703232, 'p': 83}
-
id: 902573
{'charpoly_factorization': [[[81, -9, 1], 2]], 'hecke_orbit_code': 40532946435703232, 'p': 89}
-
id: 902574
{'charpoly_factorization': [[[8, 8, 1], 2]], 'hecke_orbit_code': 40532946435703232, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 10, 'label': '448.2.i.j', 'level': 448, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 53959129
{'hecke_orbit_code': 40532946435703232, 'n': 1, 'trace_an': 4}
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id: 53959130
{'hecke_orbit_code': 40532946435703232, 'n': 2, 'trace_an': 0}
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id: 53959131
{'hecke_orbit_code': 40532946435703232, 'n': 3, 'trace_an': 2}
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id: 53959132
{'hecke_orbit_code': 40532946435703232, 'n': 4, 'trace_an': 0}
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id: 53959133
{'hecke_orbit_code': 40532946435703232, 'n': 5, 'trace_an': 2}
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id: 53959134
{'hecke_orbit_code': 40532946435703232, 'n': 6, 'trace_an': 0}
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id: 53959135
{'hecke_orbit_code': 40532946435703232, 'n': 7, 'trace_an': -4}
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id: 53959136
{'hecke_orbit_code': 40532946435703232, 'n': 8, 'trace_an': 0}
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id: 53959137
{'hecke_orbit_code': 40532946435703232, 'n': 9, 'trace_an': 0}
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id: 53959138
{'hecke_orbit_code': 40532946435703232, 'n': 10, 'trace_an': 0}
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id: 53959139
{'hecke_orbit_code': 40532946435703232, 'n': 11, 'trace_an': -2}
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id: 53959140
{'hecke_orbit_code': 40532946435703232, 'n': 12, 'trace_an': 0}
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id: 53959141
{'hecke_orbit_code': 40532946435703232, 'n': 13, 'trace_an': 0}
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id: 53959142
{'hecke_orbit_code': 40532946435703232, 'n': 14, 'trace_an': 0}
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id: 53959143
{'hecke_orbit_code': 40532946435703232, 'n': 15, 'trace_an': 20}
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id: 53959144
{'hecke_orbit_code': 40532946435703232, 'n': 16, 'trace_an': 0}
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id: 53959145
{'hecke_orbit_code': 40532946435703232, 'n': 17, 'trace_an': 6}
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id: 53959146
{'hecke_orbit_code': 40532946435703232, 'n': 18, 'trace_an': 0}
-
id: 53959147
{'hecke_orbit_code': 40532946435703232, 'n': 19, 'trace_an': 10}
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id: 53959148
{'hecke_orbit_code': 40532946435703232, 'n': 20, 'trace_an': 0}
-
id: 53959149
{'hecke_orbit_code': 40532946435703232, 'n': 21, 'trace_an': -14}
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id: 53959150
{'hecke_orbit_code': 40532946435703232, 'n': 22, 'trace_an': 0}
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id: 53959151
{'hecke_orbit_code': 40532946435703232, 'n': 23, 'trace_an': 2}
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id: 53959152
{'hecke_orbit_code': 40532946435703232, 'n': 24, 'trace_an': 0}
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id: 53959153
{'hecke_orbit_code': 40532946435703232, 'n': 25, 'trace_an': -8}
-
id: 53959154
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