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mf_newforms • Show schema
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{'Nk2': 288, 'analytic_conductor': 0.5749228945532188, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [72, 3, [55, 37, 65], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 25, 'conrey_indexes': [25, 49], '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': 2, 'hecke_orbit_code': 4504149416738888, '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, 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': True, 'label': '72.2.i.b', 'level': 72, '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}q^{3}+(\\beta _{1}-\\beta _{2}-2\\beta _{3})q^{5}+(1-2\\beta _{1}+\\cdots)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': '72.2.i', 'trace_display': [0, 1, 1, -3], 'trace_hash': 1971906820110547282, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.922', '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, 1, 0, 0], [0, 0, 0, 0], [0, 1, -1, -2], [0, 0, 0, 0], [1, -2, -2, 1], [0, 0, 0, 0], [0, 0, 3, 1], [0, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [-2, -1, 3, 2], [0, 0, 0, 0], [-6, 1, 3, 0], [0, 0, 0, 0], [-2, -1, -1, -1], [0, 0, 0, 0], [4, -1, -1, -1], [0, 0, 0, 0], [3, -2, -6, 1], [0, 0, 0, 0], [-2, -1, 3, 2], [0, 0, 0, 0], [-1, 2, -3, -1], [0, 0, 0, 0], [3, 2, 0, -2], [0, 0, 0, 0], [-1, 2, 2, -1], [0, 0, 0, 0], [-4, 1, 3, -2], [0, 0, 0, 0], [0, -1, 0, 1], [0, 0, 0, 0], [7, 1, 1, 1], [0, 0, 0, 0], [2, 2, 2, 2], [0, 0, 0, 0], [6, -1, -3, -2], [0, 0, 0, 0], [7, -2, -5, 4], [0, 0, 0, 0], [-2, 4, -3, -2], [0, 0, 0, 0], [0, -3, 3, -2], [0, 0, 0, 0], [1, -2, -2, 1], [0, 0, 0, 0], [-5, 3, 2, -6], [0, 0, 0, 0], [-3, -2, -3, -1], [0, 0, 0, 0], [-6, 2, 2, 2], [0, 0, 0, 0], [-1, 1, 1, 1], [0, 0, 0, 0], [-3, 4, -3, -1], [0, 0, 0, 0], [-7, 0, 7, 0], [0, 0, 0, 0], [1, -2, 0, 1], [0, 0, 0, 0], [3, -4, -6, 5], [0, 0, 0, 0], [3, -6, 8, 3], [0, 0, 0, 0], [-1, -2, 3, 4], [0, 0, 0, 0], [6, -1, -3, -2], [0, 0, 0, 0], [-4, 0, 0, 0], [0, 0, 0, 0], [-2, -3, -3, -3], [0, 0, 0, 0], [-3, -3, 6, 4], [0, 0, 0, 0], [-2, 1, 1, -2], [0, 0, 0, 0], [-1, 2, 4, -1], [0, 0, 0, 0], [-6, 5, 6, 0], [0, 0, 0, 0], [-1, 2, -12, -1], [0, 0, 0, 0], [8, -2, -6, 4], [0, 0, 0, 0], [-3, 2, 6, -1], [0, 0, 0, 0], [6, 0, 0, 0], [0, 0, 0, 0], [-5, 1, 1, 1], [0, 0, 0, 0], [-6, 1, 3, -4], [0, 0, 0, 0], [8, 4, -12, -8], [0, 0, 0, 0], [2, -4, 3, 2], [0, 0, 0, 0], [3, -1, -3, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 1, 0, 0], [0, 1, -1, -2], [1, -2, -2, 1], [0, 0, -1, 0], [-2, -1, 3, 2], [-2, -1, -1, -1], [4, -1, -1, -1], [-2, -1, 3, 2], [-1, 2, 2, -1], [-4, 1, 3, -2], [2, 2, 2, 2], [7, -2, -5, 4], [-2, 4, -3, -2], [1, -2, -2, 1], [-6, 2, 2, 2], [-7, 0, 7, 0], [1, -2, 0, 1], [-1, -2, 3, 4], [-4, 0, 0, 0], [-2, -3, -3, -3], [-1, 2, 4, -1], [-1, 2, -12, -1], [6, 0, 0, 0], [2, -4, 3, 2], [-3, 6, 0, -3], [10, -1, -9, 2], [4, -5, -5, -5], [2, -2, -2, -2], [2, -1, -1, 2], [0, 2, 2, 2], [-16, 1, 15, -2], [2, -4, -13, 2], [-1, 2, -1, -4], [6, -1, -5, 2], [1, -2, 2, 1], [-4, -3, 7, 6], [-12, 0, 0, 0], [12, -3, -9, 6], [-1, 2, 14, -1], [-4, 8, 8, 8], [-14, 4, 4, 4], [5, -10, 2, 5], [3, 2, -5, -4], [22, -2, -2, -2], [4, -6, -6, -6], [12, 1, -13, -2], [-7, 14, -2, -7], [0, 0, 15, 0], [-6, 7, -1, -14], [2, 1, 1, 1], [2, -5, 3, 10], [2, -4, -1, 2], [20, -3, -3, -3], [5, 4, -9, -8], [-3, 6, 14, -3], [-6, -2, -2, -2], [-8, -4, -4, -4], [3, -6, -22, 3], [-5, 10, 2, -5], [-12, 5, 7, -10], [-22, -1, 23, 2], [28, 1, 1, 1], [18, 3, -21, -6], [6, -12, 3, 6], [7, -14, -14, 7], [-5, 10, 20, -5], [1, -8, 7, 16], [-5, 10, -5, -20], [-3, 6, -24, -3], [-8, 16, 5, -8], [0, 6, 6, 6], [-1, 2, -20, -1], [-14, 3, 11, -6], [-16, 3, 3, 3], [0, 9, -9, -18], [7, -14, 6, 7], [2, -6, -6, -6], [3, -6, 3, 12], [-1, 2, -1, -4], [-4, -7, 11, 14], [-3, 6, 28, -3], [-8, 2, 2, 2], [22, 3, 3, 3], [3, -6, 0, 3], [10, -20, -7, 10], [-26, 3, 3, 3], [-2, 4, -1, -2], [3, -6, 14, 3], [-20, 9, 11, -18], [4, 1, 1, 1], [-7, 14, -6, -7], [0, 2, 2, 2], [-5, -2, 7, 4], [1, -8, 7, 16], [20, -4, -4, -4], [24, -3, -21, 6], [2, 3, 3, 3], [0, -4, -4, -4], [-18, 6, 6, 6], [2, -4, 21, 2], [-14, 0, 0, 0], [-5, 2, 3, -4], [6, -12, -13, 6], [17, -4, -13, 8], [-2, 5, 5, 5], [6, -12, 5, 6], [-26, 0, 0, 0], [-28, 5, 23, -10], [8, -16, 13, 8], [4, -3, -1, 6], [-6, -2, -2, -2], [-19, 8, 11, -16], [6, -12, -7, 6], [-32, 0, 0, 0], [6, -12, 11, 6], [-3, 0, 3, 0], [0, 10, 10, 10], [30, 3, -33, -6], [3, -6, -12, 3], [20, -11, -9, 22], [-1, 2, -2, -1], [-7, 14, 4, -7], [-12, -1, -1, -1], [3, -6, -8, 3], [-22, -4, -4, -4], [-7, 14, 12, -7], [32, 4, 4, 4], [-3, 6, -18, -3], [26, -5, -21, 10], [32, 3, 3, 3], [-38, -1, 39, 2], [40, 1, -41, -2], [22, -4, -4, -4], [-2, -9, 11, 18], [-26, 3, 23, -6], [2, 8, 8, 8], [-12, 13, -1, -26], [-20, -7, 27, 14], [30, -5, -5, -5], [-20, 9, 9, 9], [-1, 2, -22, -1], [-32, -3, 35, 6], [4, 8, 8, 8], [2, 4, 4, 4], [11, -22, -4, 11], [3, -6, -26, 3], [3, -6, -30, 3], [-7, -4, 11, 8], [8, -8, -8, -8], [-16, 5, 11, -10], [-2, 8, 8, 8], [-12, 13, 13, 13], [0, 5, -5, -10], [0, 0, -37, 0], [3, -6, 8, 3], [16, 6, 6, 6], [15, -30, -2, 15], [30, 0, 0, 0], [4, 13, -17, -26], [-2, 4, 49, -2], [-18, 3, 3, 3], [6, -1, -5, 2], [8, -4, -4, -4], [-5, -2, 7, 4], [3, -6, -48, 3], [24, 8, 8, 8], [9, -18, -28, 9]], 'char_orbit_index': 9, 'field_poly': [9, -3, -2, -1, 1], 'hecke_orbit_code': 4504149416738888, 'hecke_ring_character_values': [[55, [1, 0, 0, 0]], [37, [1, 0, 0, 0]], [65, [-1, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 6, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 3, 1], [3, 2, 0, -2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-3, -2, 2, 1], [3, 2, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '72.2.i.b', 'level': 72, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 288, 'analytic_conductor': 0.5749228945532188, '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': [72, 3, [55, 37, 65], [3, 3, 2]], 'conrey_index': 25, 'cusp_dim': 16, 'dim': 6, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 549789368392, 'hecke_orbit_dims': [2, 4], 'label': '72.2.i', 'level': 72, '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': 32, 'mf_new_dim': 6, 'num_forms': 2, 'prim_orbit_index': 3, 'relative_dim': 3, 'sturm_bound': 24, 'trace_bound': 1, 'trace_display': [0, 1, 2, 0], 'traces': [6, 0, 1, 0, 2, 0, 0, 0, -1, 0, -7, 0, 0, 0, -14, 0, -14, 0, 6, 0, -12, 0, -4, 0, -3, 0, 16, 0, 12, 0, -6, 0, 13, 0, 36, 0, 0, 0, 34, 0, 9, 0, -9, 0, 2, 0, 0, 0, -9, 0, -19, 0, -16, 0, -12, 0, -13, 0, -25, 0, -6, 0, -18, 0, 14, 0, -3, 0, 22, 0, -8, 0, -18, 0, -19, 0, 12, 0, 6, 0, 11, 0, -26, 0, 12, 0, -24, 0, -12, 0, 12, 0, -10, 0, 16, 0, 21, 0, 20, 0, -6, 0, 24, 0, 24, 0, 30, 0, 24, 0, 36, 0, 12, 0, 18, 0, -40, 0, 18, 0, 6, 0, 18, 0, -12, 0, 36, 0, -5, 0, -26, 0, -6, 0, -38, 0, -27, 0, -3, 0, -12, 0, -40, 0, -12, 0, -52, 0, -8, 0, -12, 0, -17, 0, -14, 0, -18, 0, 28, 0, -12, 0, -72, 0, 16, 0, 42, 0, -15, 0, 25, 0, 24, 0, -6, 0, -26, 0, 24, 0, -60, 0, 22, 0, -36, 0, 15, 0, 48, 0, 36, 0, 21, 0, 34, 0, 96, 0, -36, 0, 38, 0, -6, 0, 30, 0, -28, 0, 13, 0, 18, 0, -4, 0, -76, 0, 60, 0, -53, 0, -14, 0, 0, 0, 22, 0, 9, 0, 12, 0, 30, 0, 62, 0, 36, 0, 10, 0, 16, 0, -15, 0, 31, 0, -44, 0, -54, 0, -22, 0, 34, 0, 0, 0, 20, 0, 7, 0, -60, 0, -18, 0, 32, 0, -36, 0, 6, 0, -56, 0, -24, 0, 12, 0, 13, 0, -12, 0, -38, 0, -20, 0, -6, 0, -88, 0, -120, 0, -36, 0, -31, 0, -36, 0, 18, 0, -53, 0, -34, 0, 24, 0, 6, 0, 20, 0, 90, 0, 22, 0, 48, 0, 21, 0, 36, 0, -36, 0, 48, 0, -81, 0, 14, 0, 108, 0, -32, 0, -30, 0, 54, 0, 84, 0, 34, 0, 3, 0, 42, 0, 4, 0, 108, 0, 22, 0, 9, 0, -30, 0, -32, 0, 7, 0, 0, 0, 42, 0, 12, 0, 0, 0, -52, 0, 44, 0, -18, 0, 69, 0, -12, 0, -60, 0, -24, 0, 108, 0, -90, 0, 34, 0, -18, 0, -30, 0, 56, 0, -16, 0, -6, 0, 14, 0, -28, 0, -48, 0, 42, 0, 21, 0, -6, 0, -70, 0, 24, 0, 33, 0, -15, 0, -24, 0, -60, 0, -42, 0, -30, 0, 54, 0, -18, 0, -7, 0, 6, 0, -14, 0, -44, 0, 42, 0, -24, 0, -38, 0, -30, 0, -29, 0, 19, 0, -12, 0, -46, 0, -118, 0, 6, 0, 56, 0, -6, 0, -15, 0, -40, 0, 56, 0, -54, 0, -10, 0, 42, 0, -48, 0, 34, 0, -13, 0, -57, 0, -4, 0, -20, 0, -12, 0, 12, 0, 100, 0, -60, 0, -12, 0, -39, 0, -42, 0, 44, 0, 24, 0, -33, 0, 102, 0, 96, 0, -108, 0, 33, 0, 42, 0, 54, 0, 56, 0, 2, 0, 12, 0, 36, 0, 34, 0, 72, 0, -72, 0, 32, 0, 39, 0, -37, 0, 12, 0, 96, 0, 132, 0, 34, 0, 0, 0, 54, 0, 44, 0, 63, 0, 2, 0, -42, 0, 30, 0, -36, 0, -100, 0, 96, 0, -25, 0, -7, 0, 6, 0, 48, 0, 5, 0, 15, 0, -72, 0, 76, 0, 30, 0, 2, 0, -18, 0, 0, 0, -82, 0, -1, 0, -12, 0, -12, 0, -172, 0, -120, 0, -98, 0, -30, 0, 15, 0, -23, 0, 4, 0, 18, 0, -42, 0, 12, 0, -24, 0, 18, 0, -33, 0, 3, 0, 4, 0, -72, 0, 33, 0, -67, 0, -72, 0, -96, 0, -50, 0, -16, 0, 42, 0, -44, 0, 29, 0, -21, 0, 64, 0, -44, 0, 138, 0, 96, 0, 96, 0, -6, 0, -55, 0, -42, 0, 54, 0, -28, 0, 48, 0, 36, 0, -44, 0, -34, 0, -24, 0, -25, 0, -34, 0, -60, 0, 93, 0, -58, 0, 36, 0, -62, 0, 68, 0, -54, 0, -60, 0, -30, 0, -57, 0, 19, 0, -60, 0, 24, 0, 24, 0, 54, 0, 6, 0, 2, 0, -2, 0, -6, 0, 134, 0, 200, 0, -60, 0, 45, 0, -42, 0, 0, 0, -34, 0, -11, 0, 60, 0, -52, 0, -2, 0, 102, 0, 56, 0, -88, 0, 30, 0, 82, 0, 114, 0, 54, 0, -31, 0, 4, 0, 60, 0, -14, 0, -8, 0, 60, 0, 76, 0, 20, 0, -48, 0, -94, 0, 108, 0, 24, 0, 12, 0, 21, 0, -12, 0, 60, 0, 62, 0, 42, 0, 4, 0, 12, 0, -108, 0, 124, 0, -34, 0, 18, 0, 138, 0, 17, 0, -18, 0, -40, 0, 10, 0, -150, 0, -76, 0, -24, 0, -57, 0, -96, 0, -12, 0, -18, 0, 80, 0, -56, 0, -60, 0, -128, 0, 71, 0, 18, 0, -70, 0, -18, 0, -15, 0, 56, 0, -192, 0, -144, 0, -34, 0, 12, 0, -48, 0, 112, 0, -84, 0, -9, 0, -174, 0, 128, 0, -12, 0, 80, 0, 2, 0, -48, 0, -92, 0, 66, 0, -30, 0, 66, 0, -44, 0, -30, 0, -26, 0, -50, 0, 12, 0, -31, 0, -6, 0, -120, 0, -14, 0, -36, 0, -24, 0, -18, 0, -84, 0, -123, 0, 66, 0, -22, 0, -30, 0, -8, 0, 156, 0, 108, 0, 45, 0, 40, 0, -12, 0, 80, 0, 40, 0, 33, 0, -42, 0, -8, 0, 36, 0, -15, 0, 54, 0, 0, 0, 120, 0, 123, 0, -42, 0, 24, 0, -6, 0, 228, 0, 150, 0, -60, 0, 51, 0, -147, 0, -50, 0, 36, 0, -17, 0, 24, 0, 48, 0, -82, 0, -51, 0, 78, 0, -88, 0, -78, 0, 60, 0, -66, 0, 104, 0, 192, 0, -22, 0, 80, 0, -66, 0, 48, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 61071
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 61072
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 61073
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 61074
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 61075
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 61076
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 61077
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 61078
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 61079
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 61080
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 61081
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 61082
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 61083
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 61084
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 61085
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 61086
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 61087
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 61088
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 61089
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 61090
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 61091
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 61092
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 61093
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 61094
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '72.2.i.b', 'source_level': 72, '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.n', 'twisting_char_orbit': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 224550
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504149416738888, 'p': 2}
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id: 224551
{'charpoly_factorization': [[[9, -3, -2, -1, 1], 1]], 'hecke_orbit_code': 4504149416738888, 'p': 3}
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id: 224552
{'charpoly_factorization': [[[64, 8, 9, -1, 1], 1]], 'hecke_orbit_code': 4504149416738888, 'p': 5}
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id: 224553
{'charpoly_factorization': [[[36, -18, 15, 3, 1], 1]], 'hecke_orbit_code': 4504149416738888, 'p': 7}
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id: 224554
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 4504149416738888, 'p': 11}
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id: 224555
{'charpoly_factorization': [[[4, -10, 27, 5, 1], 1]], 'hecke_orbit_code': 4504149416738888, 'p': 13}
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id: 224556
{'charpoly_factorization': [[[-2, 5, 1], 2]], 'hecke_orbit_code': 4504149416738888, 'p': 17}
-
id: 224557
{'charpoly_factorization': [[[4, -7, 1], 2]], 'hecke_orbit_code': 4504149416738888, 'p': 19}
-
id: 224558
{'charpoly_factorization': [[[4, -10, 27, 5, 1], 1]], 'hecke_orbit_code': 4504149416738888, 'p': 23}
-
id: 224559
{'charpoly_factorization': [[[36, 18, 15, -3, 1], 1]], 'hecke_orbit_code': 4504149416738888, 'p': 29}
-
id: 224560
{'charpoly_factorization': [[[16, 28, 45, 7, 1], 1]], 'hecke_orbit_code': 4504149416738888, 'p': 31}
-
id: 224561
{'charpoly_factorization': [[[-24, -6, 1], 2]], 'hecke_orbit_code': 4504149416738888, 'p': 37}
-
id: 224562
{'charpoly_factorization': [[[9, -36, 141, -12, 1], 1]], 'hecke_orbit_code': 4504149416738888, 'p': 41}
-
id: 224563
{'charpoly_factorization': [[[289, -136, 81, 8, 1], 1]], 'hecke_orbit_code': 4504149416738888, 'p': 43}
-
id: 224564
{'charpoly_factorization': [[[36, -18, 15, 3, 1], 1]], 'hecke_orbit_code': 4504149416738888, 'p': 47}
-
id: 224565
{'charpoly_factorization': [[[-8, 10, 1], 2]], 'hecke_orbit_code': 4504149416738888, 'p': 53}
-
id: 224566
{'charpoly_factorization': [[[49, 7, 1], 2]], 'hecke_orbit_code': 4504149416738888, 'p': 59}
-
id: 224567
{'charpoly_factorization': [[[64, 8, 9, -1, 1], 1]], 'hecke_orbit_code': 4504149416738888, 'p': 61}
-
id: 224568
{'charpoly_factorization': [[[841, -116, 45, 4, 1], 1]], 'hecke_orbit_code': 4504149416738888, 'p': 67}
-
id: 224569
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 4504149416738888, 'p': 71}
-
id: 224570
{'charpoly_factorization': [[[-62, 7, 1], 2]], 'hecke_orbit_code': 4504149416738888, 'p': 73}
-
id: 224571
{'charpoly_factorization': [[[16, -28, 45, -7, 1], 1]], 'hecke_orbit_code': 4504149416738888, 'p': 79}
-
id: 224572
{'charpoly_factorization': [[[21904, 3700, 477, 25, 1], 1]], 'hecke_orbit_code': 4504149416738888, 'p': 83}
-
id: 224573
{'charpoly_factorization': [[[-6, 1], 4]], 'hecke_orbit_code': 4504149416738888, 'p': 89}
-
id: 224574
{'charpoly_factorization': [[[289, 136, 81, -8, 1], 1]], 'hecke_orbit_code': 4504149416738888, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 2, 'label': '72.2.i.b', 'level': 72, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 90040000
{'hecke_orbit_code': 4504149416738888, 'n': 1, 'trace_an': 4}
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id: 90040001
{'hecke_orbit_code': 4504149416738888, 'n': 2, 'trace_an': 0}
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id: 90040002
{'hecke_orbit_code': 4504149416738888, 'n': 3, 'trace_an': 1}
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id: 90040003
{'hecke_orbit_code': 4504149416738888, 'n': 4, 'trace_an': 0}
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id: 90040004
{'hecke_orbit_code': 4504149416738888, 'n': 5, 'trace_an': 1}
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id: 90040005
{'hecke_orbit_code': 4504149416738888, 'n': 6, 'trace_an': 0}
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id: 90040006
{'hecke_orbit_code': 4504149416738888, 'n': 7, 'trace_an': -3}
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id: 90040007
{'hecke_orbit_code': 4504149416738888, 'n': 8, 'trace_an': 0}
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id: 90040008
{'hecke_orbit_code': 4504149416738888, 'n': 9, 'trace_an': 5}
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id: 90040009
{'hecke_orbit_code': 4504149416738888, 'n': 10, 'trace_an': 0}
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id: 90040010
{'hecke_orbit_code': 4504149416738888, 'n': 11, 'trace_an': -2}
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id: 90040011
{'hecke_orbit_code': 4504149416738888, 'n': 12, 'trace_an': 0}
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id: 90040012
{'hecke_orbit_code': 4504149416738888, 'n': 13, 'trace_an': -5}
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id: 90040013
{'hecke_orbit_code': 4504149416738888, 'n': 14, 'trace_an': 0}
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id: 90040014
{'hecke_orbit_code': 4504149416738888, 'n': 15, 'trace_an': -17}
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id: 90040015
{'hecke_orbit_code': 4504149416738888, 'n': 16, 'trace_an': 0}
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id: 90040016
{'hecke_orbit_code': 4504149416738888, 'n': 17, 'trace_an': -10}
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id: 90040017
{'hecke_orbit_code': 4504149416738888, 'n': 18, 'trace_an': 0}
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id: 90040018
{'hecke_orbit_code': 4504149416738888, 'n': 19, 'trace_an': 14}
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id: 90040019
{'hecke_orbit_code': 4504149416738888, 'n': 20, 'trace_an': 0}
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id: 90040020
{'hecke_orbit_code': 4504149416738888, 'n': 21, 'trace_an': -3}
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id: 90040021
{'hecke_orbit_code': 4504149416738888, 'n': 22, 'trace_an': 0}
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id: 90040022
{'hecke_orbit_code': 4504149416738888, 'n': 23, 'trace_an': -5}
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id: 90040023
{'hecke_orbit_code': 4504149416738888, 'n': 24, 'trace_an': 0}
-
id: 90040024
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id: 90040108
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id: 90040111
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id: 90040112
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id: 90040115
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id: 90040118
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id: 90040119
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id: 90040120
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id: 90040121
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id: 90040125
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id: 90040127
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id: 90040129
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id: 90040130
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id: 90040131
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id: 90040132
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id: 90040133
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id: 90040200
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id: 90040219
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id: 90040858
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id: 90040860
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id: 90040861
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id: 90040862
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id: 90040863
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id: 90040864
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id: 90040865
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id: 90040866
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id: 90040867
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id: 90040868
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id: 90040869
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id: 90040870
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id: 90040871
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id: 90040872
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id: 90040873
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id: 90040874
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id: 90040875
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id: 90040876
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id: 90040877
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id: 90040878
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id: 90040879
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id: 90040880
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id: 90040881
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id: 90040882
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id: 90040883
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id: 90040884
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id: 90040885
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id: 90040886
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id: 90040887
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id: 90040888
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id: 90040889
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id: 90040890
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id: 90040891
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id: 90040892
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id: 90040893
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id: 90040894
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id: 90040895
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id: 90040896
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id: 90040897
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id: 90040898
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id: 90040899
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id: 90040900
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id: 90040901
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id: 90040902
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id: 90040903
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id: 90040904
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id: 90040905
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id: 90040906
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id: 90040907
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id: 90040908
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id: 90040909
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id: 90040910
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id: 90040911
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id: 90040912
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id: 90040913
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id: 90040914
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id: 90040915
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id: 90040916
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id: 90040917
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id: 90040918
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id: 90040919
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id: 90040920
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id: 90040921
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id: 90040922
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id: 90040923
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id: 90040924
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id: 90040925
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id: 90040926
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id: 90040927
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id: 90040928
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id: 90040929
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id: 90040930
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id: 90040931
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id: 90040932
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id: 90040933
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id: 90040934
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id: 90040935
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id: 90040936
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id: 90040937
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id: 90040938
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id: 90040939
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id: 90040940
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id: 90040941
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id: 90040942
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id: 90040943
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id: 90040944
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id: 90040945
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id: 90040946
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id: 90040947
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id: 90040948
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id: 90040949
{'hecke_orbit_code': 4504149416738888, 'n': 950, 'trace_an': 0}
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id: 90040950
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id: 90040951
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id: 90040952
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id: 90040953
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id: 90040954
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id: 90040955
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id: 90040956
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id: 90040957
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id: 90040958
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id: 90040959
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id: 90040960
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id: 90040961
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id: 90040962
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id: 90040963
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id: 90040964
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id: 90040965
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id: 90040966
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id: 90040967
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id: 90040968
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id: 90040969
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id: 90040970
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id: 90040971
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id: 90040972
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id: 90040973
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id: 90040974
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id: 90040975
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id: 90040976
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id: 90040977
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id: 90040978
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id: 90040979
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id: 90040980
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id: 90040981
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id: 90040982
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id: 90040983
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id: 90040984
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id: 90040985
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id: 90040986
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id: 90040987
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id: 90040988
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id: 90040989
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id: 90040990
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id: 90040991
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id: 90040992
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id: 90040993
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id: 90040994
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id: 90040995
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id: 90040996
{'hecke_orbit_code': 4504149416738888, 'n': 997, 'trace_an': -47}
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id: 90040997
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id: 90040998
{'hecke_orbit_code': 4504149416738888, 'n': 999, 'trace_an': 48}
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id: 90040999
{'hecke_orbit_code': 4504149416738888, 'n': 1000, 'trace_an': 0}