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mf_newforms • Show schema
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{'Nk2': 1960, 'analytic_conductor': 3.912669699042739, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [490, 2, [197, 101], [1, 2]], 'cm_discs': [], 'conrey_index': 99, 'conrey_indexes': [99], 'dim': 4, 'field_disc': 2304, 'field_disc_factorization': [[2, 8], [3, 2]], 'field_poly': [9, 0, 0, 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, [6, 0, 1]], [11, [-24, 0, 1]], [19, [10, -8, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014535981990378, '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, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '490.2.c.e', 'level': 490, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'minimal_twist': '70.2.c.a', 'nf_label': '4.0.2304.2', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{2}q^{2}+(\\beta _{1}+\\beta _{3})q^{3}-q^{4}+(-1+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '490.2.c', 'trace_display': [0, 0, -4, 0], 'trace_hash': 677792937372088452, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.587', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.548', 'prec': 17}, {'__RealLiteral__': 0, 'data': '67.111', 'prec': 20}, {'__RealLiteral__': 0, 'data': '16.362', 'prec': 20}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 1, 0], [0, 1, 0, 1], [-1, 0, 0, 0], [-1, -1, 1, 0], [0, -1, 0, 1], [0, 0, 0, 0], [0, 0, -1, 0], [-3, 0, 0, 0], [-1, 0, -1, -1], [0, -2, 0, 2], [0, -1, 0, -1], [0, -1, -2, -1], [0, 0, 0, 0], [3, -2, -3, 0], [1, 0, 0, 0], [0, 0, 2, 0], [0, 0, -3, 0], [4, -1, 0, 1], [1, 1, -1, 0], [0, 0, 0, 0], [0, -2, 0, -2], [0, 2, -2, 2], [0, 1, 0, -1], [0, 2, 1, -2], [2, 1, 0, -1], [0, 0, 0, 0], [0, 0, 0, 0], [-2, -2, 0, 2], [3, 0, 3, -2], [-4, -2, 0, 2], [0, 0, 1, 0], [0, 0, -12, 0], [-2, 0, 0, 0], [0, 0, 0, 0], [3, 0, 0, 0], [0, 0, -2, 0], [0, -1, 4, -1], [6, 2, 0, -2], [1, 0, 1, 1], [6, -2, 0, 2], [0, 0, 0, 0], [0, -2, 4, -2], [0, 2, 0, -2], [3, 3, -3, 0], [2, -2, 0, 2], [0, 2, 4, 2], [0, 1, 0, 1], [0, 0, 0, 0], [-1, 2, 0, 2], [0, -2, 0, 2], [0, 1, 2, 1], [0, -2, -6, -2], [0, 0, 0, 0], [6, 0, 6, -4], [0, 0, 0, 0], [0, 4, -6, 4], [0, -2, -2, -2], [-4, 1, 0, -1], [-3, 2, 3, 0], [-6, 1, 0, -1], [0, -2, -4, -2], [0, 0, 0, 0], [-1, 0, 0, 0], [-1, 2, 5, 2], [12, 0, 0, 0], [0, 0, 8, 0], [0, 0, -2, 0], [-12, 2, 0, -2], [0, 0, 0, 0], [-6, 2, 0, -2], [0, 0, 3, 0], [0, -2, 2, -2], [2, 0, 0, 0], [0, -1, 12, 1], [-4, 1, 0, -1], [0, 0, 0, 0], [0, 2, 6, 2], [-2, -2, 0, 2], [-1, -1, 1, 0], [-9, 0, 0, 0], [0, -2, 6, -2], [0, 1, 0, 1], [0, 0, 0, 0], [-2, 0, -2, -2], [-4, 2, 0, -2], [0, -2, -12, -2], [0, 2, 0, 2], [-10, 0, 0, 0], [3, 0, 3, 3], [0, 0, 0, 0], [0, -2, 2, -2], [0, -4, -12, -4], [-4, -2, 0, 2], [-1, -4, 7, -2], [0, -1, 0, 1], [0, 4, 6, 4], [0, 0, 0, 0], [0, 6, 0, -6], [0, -2, -1, 2]], 'ap': [[0, 0, 1, 0], [0, 1, 0, 1], [-1, -1, 1, 0], [0, 0, 0, 0], [0, -2, 0, 2], [0, -1, -2, -1], [0, 0, 2, 0], [4, -1, 0, 1], [0, 2, -2, 2], [-2, -2, 0, 2], [-4, -2, 0, 2], [0, 0, -2, 0], [6, -2, 0, 2], [0, -2, 4, -2], [0, 2, 4, 2], [0, -2, -6, -2], [-4, 1, 0, -1], [-6, 1, 0, -1], [0, 0, 8, 0], [-6, 2, 0, -2], [0, -2, 2, -2], [-2, -2, 0, 2], [0, 1, 0, 1], [-10, 0, 0, 0], [0, 4, 6, 4], [-6, 1, 0, -1], [0, -2, -8, -2], [0, 0, 8, 0], [-2, -2, 0, 2], [0, 4, 10, 4], [0, 2, 10, 2], [4, 1, 0, -1], [0, 4, -8, 4], [4, -1, 0, 1], [-6, 4, 0, -4], [0, 8, 0, -8], [0, -1, 6, -1], [0, 2, -12, 2], [0, -2, 0, -2], [0, 5, -6, 5], [-4, -4, 0, 4], [-2, 5, 0, -5], [-2, 6, 0, -6], [0, -8, -2, -8], [0, -2, -14, -2], [12, 2, 0, -2], [12, 0, 0, 0], [0, 0, 4, 0], [0, 3, 0, 3], [-2, -7, 0, 7], [0, 4, 20, 4], [16, -4, 0, 4], [-6, 6, 0, -6], [4, 1, 0, -1], [0, -6, 6, -6], [0, 4, 0, 4], [2, 7, 0, -7], [-12, 0, 0, 0], [0, 2, 10, 2], [-18, 0, 0, 0], [0, 5, -16, 5], [0, -5, -6, -5], [0, -5, -8, -5], [-12, 0, 0, 0], [0, 8, 2, 8], [0, 10, -2, 10], [-4, -6, 0, 6], [0, -8, 10, -8], [0, -2, -24, -2], [-6, -1, 0, 1], [0, -2, -18, -2], [8, 8, 0, -8], [0, 0, 32, 0], [0, -6, 10, -6], [-16, -6, 0, 6], [0, -2, 12, -2], [-18, 2, 0, -2], [0, 3, -10, 3], [0, -12, 0, 12], [10, 10, 0, -10], [-4, 1, 0, -1], [-14, 4, 0, -4], [8, -4, 0, 4], [0, -4, 10, -4], [8, -12, 0, 12], [0, 4, 0, 4], [10, 0, 0, 0], [0, -8, -10, -8], [-10, -3, 0, 3], [0, 8, -16, 8], [0, 1, 8, 1], [24, -6, 0, 6], [0, -6, 22, -6], [0, 8, 0, -8], [-16, 4, 0, -4], [0, 0, 4, 0], [-34, 1, 0, -1], [-18, -6, 0, 6], [0, 7, 16, 7], [-10, 8, 0, -8], [0, 6, 4, 6], [0, -6, 2, -6], [0, 9, 8, 9], [-24, -4, 0, 4], [-16, 2, 0, -2], [0, -10, 22, -10], [0, 7, -16, 7], [0, 2, 6, 2], [18, -2, 0, 2], [10, 12, 0, -12], [0, 12, 4, 12], [0, -4, -18, -4], [0, -8, -10, -8], [-44, 1, 0, -1], [-18, -10, 0, 10], [16, 4, 0, -4], [0, -7, -8, -7], [0, -14, -12, -14], [0, 4, -30, 4], [-12, -2, 0, 2], [14, 11, 0, -11], [0, -4, -8, -4], [0, -1, -34, -1], [0, 8, -16, 8], [-4, -7, 0, 7], [26, -6, 0, 6], [-6, 14, 0, -14], [20, -10, 0, 10], [0, 6, 8, 6], [0, -17, 2, -17], [20, -10, 0, 10], [0, -6, -30, -6], [-32, -4, 0, 4], [0, 4, 42, 4], [26, -2, 0, 2], [-26, -6, 0, 6], [0, -3, 6, -3], [0, 1, 48, 1], [0, -11, 26, -11], [-28, -8, 0, 8], [12, -11, 0, 11], [18, -4, 0, 4], [0, -16, 0, -16], [0, 8, -4, 8], [-2, -17, 0, 17], [32, 2, 0, -2], [0, 13, 2, 13], [0, -16, -14, -16], [12, 17, 0, -17], [0, -12, -16, -12], [0, 12, 10, 12], [-18, 4, 0, -4], [0, -4, 32, -4], [0, 6, -12, 6], [0, 4, 32, 4], [-16, -8, 0, 8], [22, 2, 0, -2], [6, -14, 0, 14], [0, 2, -46, 2], [22, -1, 0, 1], [0, -18, 0, -18], [0, -4, 12, -4], [0, 14, 2, 14], [12, -1, 0, 1], [0, 12, 0, 12], [0, -6, 28, -6], [46, -6, 0, 6], [0, 3, 50, 3]], 'char_orbit_index': 3, 'field_poly': [9, 0, 0, 0, 1], 'hecke_orbit_code': 18014535981990378, 'hecke_ring_character_values': [[197, [-1, 0, 0, 0]], [101, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 3, 3], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 3, 0], [0, 0, 0, 3]], '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': '490.2.c.e', 'level': 490, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1960, 'analytic_conductor': 3.912669699042739, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [490, 2, [197, 101], [1, 2]], 'conrey_index': 99, 'cusp_dim': 68, 'dim': 20, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11, 19], 'hecke_orbit_code': 137472508394, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 4], 'label': '490.2.c', 'level': 490, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'mf_dim': 100, 'mf_new_dim': 20, 'num_forms': 7, 'prim_orbit_index': 2, 'relative_dim': 20, 'sturm_bound': 168, 'trace_bound': 9, 'trace_display': [0, 0, -4, 0], 'traces': [20, 0, 0, -20, -4, 0, 0, 0, -8, -4, -4, 0, 0, 0, -8, 20, 0, 0, 16, 4, 0, 0, 0, 0, 0, 8, 0, 0, 4, -12, -16, 0, 0, -8, 0, 8, 0, 0, -24, 4, 24, 0, 0, 4, 12, 0, 0, 0, 0, -12, -8, 0, 0, 0, 24, 0, 0, 0, -16, 8, -24, 0, 0, -20, -24, 48, 0, 0, -48, 0, 32, 0, 0, 36, 0, -16, 0, 0, 16, -4, 52, 0, 0, 0, -20, 12, 0, 0, -40, 12, 0, 0, 0, -16, 16, 0, 0, 0, -12, 0, -24, 0, 0, -8, 0, -36, 0, 0, 20, -24, 0, 0, 0, -24, 32, -4, 0, 0, 0, 12, -24, 0, 0, 16, -28, 0, 0, 0, 48, -12, 16, 0, 0, 36, 88, 8, 0, 0, 16, 0, -128, 0, 0, -8, 32, -8, 0, 0, 44, -48, 0, 0, 0, 0, 40, 24, 0, 0, 48, -4, 0, 0, 0, -24, 48, 0, 0, 0, -40, -36, -48, 0, 0, 48, 0, -4, 0, 0, 4, -12, -8, 0, 0, 0, 8, -24, 0, 0, 0, 36, -160, 0, 0, -24, -48, 0, 0, 0, 48, 12, 0, 0, 0, 8, 40, 32, 0, 0, 48, 0, -28, 0, 0, 12, -40, 0, 0, 0, -24, -24, -96, 0, 0, 0, 76, 48, 0, 0, -8, 16, 0, 0, 0, -24, -92, 16, 0, 0, 152, -8, -24, 0, 0, 24, 0, 36, 0, 0, -44, 28, 16, 0, 0, -60, 24, 20, 0, 0, 0, 24, 72, 0, 0, -48, 0, 0, 0, 0, 8, -12, -48, 0, 0, 24, 4, 48, 0, 0, 48, 0, 172, 0, 0, -32, 72, -48, 0, 0, 92, -16, -96, 0, 0, 0, -104, -36, 0, 0, 32, 0, 0, 0, 0, 16, -128, 24, 0, 0, -132, -72, -48, 0, 0, -24, 0, -16, 0, 0, 80, 4, 0, 0, 0, -52, 8, 48, 0, 0, 0, -48, -4, 0, 0, 0, -32, 0, 0, 0, -96, 20, 96, 0, 0, -12, 84, 24, 0, 0, -24, 0, -24, 0, 0, 24, 0, 40, 0, 0, -40, -12, 24, 0, 0, 0, -36, 108, 0, 0, -72, -8, 0, 0, 0, 0, 40, 16, 0, 0, 44, -16, -48, 0, 0, 0, 0, -24, 0, 0, 176, 0, 16, 0, 0, 132, 32, 12, 0, 0, 0, 0, 16, 0, 0, 24, 36, 0, 0, 0, 40, 24, -96, 0, 0, -60, -224, 8, 0, 0, -16, 0, 4, 0, 0, 36, -8, -48, 0, 0, -96, -8, 136, 0, 0, 0, -24, -20, 0, 0, 32, 24, 0, 0, 0, 0, 72, -16, 0, 0, -184, 108, 96, 0, 0, 0, 0, 24, 0, 0, -200, -32, -40, 0, 0, 4, 0, -144, 0, 0, 0, -24, 144, 0, 0, 48, -48, 0, 0, 0, 96, -12, -16, 0, 0, 24, 12, 0, 0, 0, -48, 0, 104, 0, 0, -84, -72, -16, 0, 0, 0, 28, 236, 0, 0, 0, 32, 12, 0, 0, -136, -24, 0, 0, 0, -24, 120, -48, 0, 0, 112, 12, -72, 0, 0, -16, 0, 84, 0, 0, 4, -48, 48, 0, 0, -84, -32, -36, 0, 0, 0, -88, -212, 0, 0, -8, 32, 0, 0, 0, 72, -96, 16, 0, 0, -96, 0, -16, 0, 0, -16, 0, 96, 0, 0, 128, 8, 64, 0, 0, -28, 24, 168, 0, 0, 0, -192, 8, 0, 0, 192, -32, 0, 0, 0, 8, 72, 24, 0, 0, 8, -48, 48, 0, 0, 0, 0, -44, 0, 0, -64, 48, 40, 0, 0, 0, -52, 84, 0, 0, 0, 60, 204, 0, 0, 32, 120, 0, 0, 0, -176, -40, 0, 0, 0, -24, 92, -8, 0, 0, 16, 0, -296, 0, 0, -96, -16, -48, 0, 0, -24, 4, -256, 0, 0, 0, 204, 24, 0, 0, -48, 48, 0, 0, 0, 48, 120, 24, 0, 0, -56, -48, 56, 0, 0, 0, 0, -180, 0, 0, -192, 32, -48, 0, 0, 120, 0, 40, 0, 0, 0, 36, -304, 0, 0, 48, 80, 0, 0, 0, -96, 120, -16, 0, 0, 108, 64, -48, 0, 0, -96, 0, 52, 0, 0, 4, 96, 72, 0, 0, 36, 48, -344, 0, 0, 0, 204, -4, 0, 0, 80, 12, 0, 0, 0, 8, -220, 0, 0, 0, 316, 132, -32, 0, 0, -128, 0, 0, 0, 0, 36, -8, 48, 0, 0, 24, -24, 120, 0, 0, 0, 132, 128, 0, 0, -64, -96, 0, 0, 0, -96, -36, 104, 0, 0, 160, -188, -48, 0, 0, -104, 0, 80, 0, 0, -144, -96, 24, 0, 0, 356, 48, -296, 0, 0, 0, 0, -336, 0, 0, -96, -16, 0, 0, 0, 40, -264, -48, 0, 0, 40, -12, 120, 0, 0, 0, 0, 120, 0, 0, 8, 36, 48, 0, 0, -108, 72, -8, 0, 0, 0, -40, 40, 0, 0, -32, 48, 0, 0, 0, -8, 204, -48, 0, 0, 0, 212, -48, 0, 0, 128, 0, -192, 0, 0, 28, 36, 48, 0, 0, -96, 0, 132, 0, 0, 0, -72, -12, 0, 0, 48, 40, 0, 0, 0, 0, 64, -40, 0, 0, -72, -12, 64, 0, 0, 80, 0, 24, 0, 0, 416, 24, -72, 0, 0, 96, -72, -36, 0, 0, 0, -60, -36, 0, 0, -96, 64, 0, 0, 0, 128, -76, 48, 0, 0, -48, -232, -192, 0, 0, 72, 0, -376, 0, 0, -24, -96, 8, 0, 0, -280, -16, 324, 0, 0, 0, 120, -96, 0, 0, 24, -96, 0, 0, 0, -32, 72, 24, 0, 0, 0, 92, 88, 0, 0, -16, 0, 120, 0, 0, -216, -16, -240, 0, 0, 12, -64, -152, 0, 0, 0, 8, 372, 0, 0, 24, -88, 0, 0, 0, 48, -36, 48, 0, 0, -144, 72, -24, 0, 0, 0, 0, 272, 0, 0, -36, 32, 16, 0, 0, -84, 72, 248, 0, 0, 0, -160, 44, 0, 0, 0, -28], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 348856
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '70.2.c.a', 'target_level': 70, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 348857
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '70.2.c.a', 'target_level': 70, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 348858
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '350.2.a.g', 'target_level': 350, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 348859
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '350.2.a.h', 'target_level': 350, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 348860
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '490.2.c.e', 'target_level': 490, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 348861
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '490.2.c.e', 'target_level': 490, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 348862
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '490.2.i.c', 'target_level': 490, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 348863
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '490.2.i.c', 'target_level': 490, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 348864
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '490.2.i.f', 'target_level': 490, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 348865
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '490.2.i.f', 'target_level': 490, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 348866
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '560.2.g.e', 'target_level': 560, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 348867
{'conductor': 140, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '560.2.g.e', 'target_level': 560, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '140.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 348868
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '630.2.g.g', 'target_level': 630, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 348869
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '630.2.g.g', 'target_level': 630, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 348870
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2240.2.g.i', 'target_level': 2240, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 348871
{'conductor': 280, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2240.2.g.i', 'target_level': 2240, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '280.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 348872
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2240.2.g.j', 'target_level': 2240, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 348873
{'conductor': 280, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2240.2.g.j', 'target_level': 2240, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '280.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 348874
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '2450.2.a.bl', 'target_level': 2450, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 348875
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '2450.2.a.bq', 'target_level': 2450, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 348876
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '2800.2.a.bl', 'target_level': 2800, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '140.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 348877
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 39, 'target_is_minimal': False, 'target_label': '2800.2.a.bm', 'target_level': 2800, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '140.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 348878
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '3150.2.a.bs', 'target_level': 3150, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 348879
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '3150.2.a.bt', 'target_level': 3150, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 348880
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '5040.2.t.t', 'target_level': 5040, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 348881
{'conductor': 420, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.2.c.e', 'source_level': 490, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '5040.2.t.t', 'target_level': 5040, 'twist_class_label': '70.2.c.a', 'twist_class_level': 70, 'twisting_char_label': '420.o', 'twisting_char_orbit': 15, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 958125
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 18014535981990378, 'p': 2}
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id: 958126
{'charpoly_factorization': [[[6, 0, 1], 2]], 'hecke_orbit_code': 18014535981990378, 'p': 3}
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id: 958127
{'charpoly_factorization': [[[25, 20, 8, 4, 1], 1]], 'hecke_orbit_code': 18014535981990378, 'p': 5}
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id: 958128
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014535981990378, 'p': 7}
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id: 958129
{'charpoly_factorization': [[[-24, 0, 1], 2]], 'hecke_orbit_code': 18014535981990378, 'p': 11}
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id: 958130
{'charpoly_factorization': [[[4, 0, 20, 0, 1], 1]], 'hecke_orbit_code': 18014535981990378, 'p': 13}
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id: 958131
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 18014535981990378, 'p': 17}
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id: 958132
{'charpoly_factorization': [[[10, -8, 1], 2]], 'hecke_orbit_code': 18014535981990378, 'p': 19}
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id: 958133
{'charpoly_factorization': [[[400, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 18014535981990378, 'p': 23}
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id: 958134
{'charpoly_factorization': [[[-20, 4, 1], 2]], 'hecke_orbit_code': 18014535981990378, 'p': 29}
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id: 958135
{'charpoly_factorization': [[[-8, 8, 1], 2]], 'hecke_orbit_code': 18014535981990378, 'p': 31}
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id: 958136
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 18014535981990378, 'p': 37}
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id: 958137
{'charpoly_factorization': [[[12, -12, 1], 2]], 'hecke_orbit_code': 18014535981990378, 'p': 41}
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id: 958138
{'charpoly_factorization': [[[64, 0, 80, 0, 1], 1]], 'hecke_orbit_code': 18014535981990378, 'p': 43}
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id: 958139
{'charpoly_factorization': [[[64, 0, 80, 0, 1], 1]], 'hecke_orbit_code': 18014535981990378, 'p': 47}
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id: 958140
{'charpoly_factorization': [[[144, 0, 120, 0, 1], 1]], 'hecke_orbit_code': 18014535981990378, 'p': 53}
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id: 958141
{'charpoly_factorization': [[[10, 8, 1], 2]], 'hecke_orbit_code': 18014535981990378, 'p': 59}
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id: 958142
{'charpoly_factorization': [[[30, 12, 1], 2]], 'hecke_orbit_code': 18014535981990378, 'p': 61}
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id: 958143
{'charpoly_factorization': [[[64, 0, 1], 2]], 'hecke_orbit_code': 18014535981990378, 'p': 67}
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id: 958144
{'charpoly_factorization': [[[12, 12, 1], 2]], 'hecke_orbit_code': 18014535981990378, 'p': 71}
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id: 958145
{'charpoly_factorization': [[[400, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 18014535981990378, 'p': 73}
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id: 958146
{'charpoly_factorization': [[[-20, 4, 1], 2]], 'hecke_orbit_code': 18014535981990378, 'p': 79}
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id: 958147
{'charpoly_factorization': [[[6, 0, 1], 2]], 'hecke_orbit_code': 18014535981990378, 'p': 83}
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id: 958148
{'charpoly_factorization': [[[10, 1], 4]], 'hecke_orbit_code': 18014535981990378, 'p': 89}
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id: 958149
{'charpoly_factorization': [[[3600, 0, 264, 0, 1], 1]], 'hecke_orbit_code': 18014535981990378, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 5, 'label': '490.2.c.e', 'level': 490, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 157206000
{'hecke_orbit_code': 18014535981990378, 'n': 1, 'trace_an': 4}
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id: 157206001
{'hecke_orbit_code': 18014535981990378, 'n': 2, 'trace_an': 0}
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id: 157206002
{'hecke_orbit_code': 18014535981990378, 'n': 3, 'trace_an': 0}
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id: 157206003
{'hecke_orbit_code': 18014535981990378, 'n': 4, 'trace_an': -4}
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id: 157206004
{'hecke_orbit_code': 18014535981990378, 'n': 5, 'trace_an': -4}
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id: 157206005
{'hecke_orbit_code': 18014535981990378, 'n': 6, 'trace_an': 0}
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id: 157206006
{'hecke_orbit_code': 18014535981990378, 'n': 7, 'trace_an': 0}
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id: 157206007
{'hecke_orbit_code': 18014535981990378, 'n': 8, 'trace_an': 0}
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id: 157206008
{'hecke_orbit_code': 18014535981990378, 'n': 9, 'trace_an': -12}
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