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mf_newforms • Show schema
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{'Nk2': 240, 'analytic_conductor': 0.4791024121276823, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 15, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 4, 'char_parity': 1, 'char_values': [60, 4, [31, 41, 37], [4, 2, 1]], 'cm_discs': [], 'conrey_index': 17, 'conrey_indexes': [17, 53], 'dim': 4, 'field_disc': 400, 'field_disc_factorization': [[2, 4], [5, 2]], 'field_poly': [1, 0, 3, 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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 549789368380, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 3, -1, 4, 0], [1, 1, 15, 5, 1, 4, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '60.2.i.a', 'level': 60, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '60.2.i.a', 'nf_label': '4.0.400.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(1+\\beta _{1})q^{3}+(-1-\\beta _{1}+\\beta _{3})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '60.2.i', 'trace_display': [0, 2, 0, -4], 'trace_hash': 1860860650988350844, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.777', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '86.191', '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], [1, 1, 0, 0], [0, 0, 0, 0], [-1, -1, 0, 1], [0, 0, 0, 0], [-1, 0, -1, 0], [0, 0, 0, 0], [1, 1, 2, -1], [0, 0, 0, 0], [0, -2, -2, -2], [0, 0, 0, 0], [-3, 0, 3, 0], [0, 0, 0, 0], [-3, 0, -2, 1], [0, 0, 0, 0], [-1, 0, 1, 2], [0, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [-1, -1, -1, -1], [0, 0, 0, 0], [1, 2, 1, 0], [0, 0, 0, 0], [5, 0, 0, 0], [0, 0, 0, 0], [3, 0, 4, 1], [0, 0, 0, 0], [2, 2, 0, -2], [0, 0, 0, 0], [4, 0, 0, 0], [0, 0, 0, 0], [4, -2, -6, 0], [0, 0, 0, 0], [1, 2, 1, 0], [0, 0, 0, 0], [-3, 0, -3, 0], [0, 0, 0, 0], [-3, -3, 3, 3], [0, 0, 0, 0], [0, 4, 4, 4], [0, 0, 0, 0], [-3, 0, 3, 0], [0, 0, 0, 0], [-5, -2, -2, -2], [0, 0, 0, 0], [3, 0, -3, -6], [0, 0, 0, 0], [0, 0, -5, 0], [0, 0, 0, 0], [-5, 1, 1, 1], [0, 0, 0, 0], [-1, -2, -1, 0], [0, 0, 0, 0], [0, 0, 10, 0], [0, 0, 0, 0], [0, 0, -2, -2], [0, 0, 0, 0], [-4, -4, 0, 4], [0, 0, 0, 0], [-6, 0, 0, 0], [0, 0, 0, 0], [1, -2, -3, 0], [0, 0, 0, 0], [3, 0, -3, -6], [0, 0, 0, 0], [-1, 0, -1, 0], [0, 0, 0, 0], [1, 1, 5, -1], [0, 0, 0, 0], [0, 2, 2, 2], [0, 0, 0, 0], [1, 0, -1, 0], [0, 0, 0, 0], [5, 5, 0, 0], [0, 0, 0, 0], [-2, 0, 2, 4], [0, 0, 0, 0], [0, 0, -6, 0], [0, 0, 0, 0], [1, 4, 4, 4], [0, 0, 0, 0], [-3, -6, -3, 0], [0, 0, 0, 0], [5, 0, -5, 0], [0, 0, 0, 0], [6, 0, 4, -2], [0, 0, 0, 0], [-2, -2, 0, 2], [0, 0, 0, 0], [6, 0, 0, 0], [0, 0, 0, 0], [4, 4, 0, 0], [0, 0, 0, 0], [0, 2, 2, 2], [0, 0, 0, 0], [9, 0, 9, 0], [0, 0, 0, 0], [4, 4, -10, -4], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [1, 1, 0, 0], [-1, -1, 0, 1], [-1, 0, -1, 0], [0, -2, -2, -2], [-3, 0, 3, 0], [-1, 0, 1, 2], [0, 0, -2, 0], [1, 2, 1, 0], [2, 2, 0, -2], [4, 0, 0, 0], [-3, 0, -3, 0], [0, 4, 4, 4], [-3, 0, 3, 0], [3, 0, -3, -6], [-1, -2, -1, 0], [-4, -4, 0, 4], [-6, 0, 0, 0], [-1, 0, -1, 0], [0, 2, 2, 2], [1, 0, -1, 0], [0, 0, -6, 0], [-3, -6, -3, 0], [-2, -2, 0, 2], [9, 0, 9, 0], [0, -4, -4, -4], [1, 0, -1, 0], [-1, 0, 1, 2], [0, 0, 8, 0], [-1, -2, -1, 0], [-13, 0, -13, 0], [0, -2, -2, -2], [3, 0, -3, -6], [0, 0, 14, 0], [6, 6, 0, -6], [4, 0, 0, 0], [9, 0, 9, 0], [17, 0, -17, 0], [-5, 0, 5, 10], [7, 14, 7, 0], [4, 4, 0, -4], [14, 0, 0, 0], [0, 2, 2, 2], [-3, 0, 3, 0], [3, 0, -3, -6], [0, 0, 18, 0], [-16, 0, 0, 0], [-3, 0, 3, 0], [-5, 0, 5, 10], [0, 0, -12, 0], [-9, -18, -9, 0], [0, 0, 0, 0], [-26, 0, 0, 0], [0, 6, 6, 6], [7, 0, -7, -14], [-7, -14, -7, 0], [-10, -10, 0, 10], [12, 0, 0, 0], [9, 0, 9, 0], [0, 12, 12, 12], [17, 0, -17, 0], [3, 6, 3, 0], [-21, 0, -21, 0], [0, 2, 2, 2], [-3, 0, 3, 0], [-9, 0, 9, 18], [-8, 0, 0, 0], [9, 0, 9, 0], [11, 0, -11, -22], [0, 0, 4, 0], [3, 6, 3, 0], [16, 16, 0, -16], [-1, 0, -1, 0], [-23, 0, 23, 0], [0, 0, -2, 0], [-3, -6, -3, 0], [6, 6, 0, -6], [-11, 0, -11, 0], [0, 0, 0, 0], [0, 0, -12, 0], [12, 12, 0, -12], [2, 0, 0, 0], [0, -14, -14, -14], [17, 0, -17, 0], [0, 0, -22, 0], [9, 18, 9, 0], [2, 2, 0, -2], [-3, 0, -3, 0], [0, 4, 4, 4], [-19, 0, 19, 0], [-1, 0, 1, 2], [-16, -16, 0, 16], [-21, 0, -21, 0], [0, -10, -10, -10], [0, 0, 38, 0], [-3, -6, -3, 0], [2, 2, 0, -2], [0, 0, 0, 0], [-3, 0, 3, 0], [-26, 0, 0, 0], [27, 0, 27, 0], [3, 0, -3, -6], [-3, -6, -3, 0], [10, 10, 0, -10], [-16, 0, 0, 0], [-11, 0, -11, 0], [3, 0, -3, -6], [-5, -10, -5, 0], [-16, -16, 0, 16], [14, 0, 0, 0], [27, 0, 27, 0], [21, 0, -21, 0], [-9, 0, 9, 18], [0, 0, -42, 0], [4, 0, 0, 0], [0, -4, -4, -4], [21, 0, -21, 0], [7, 0, -7, -14], [-9, -18, -9, 0], [4, 4, 0, -4], [2, 0, 0, 0], [1, 0, -1, 0], [11, 0, -11, -22], [9, 18, 9, 0], [-48, 0, 0, 0], [0, 16, 16, 16], [0, 0, 28, 0], [-16, -16, 0, 16], [-21, 0, -21, 0], [1, 0, -1, 0], [0, 0, 14, 0], [5, 10, 5, 0], [12, 0, 0, 0], [9, 0, 9, 0], [0, -8, -8, -8], [0, 0, 8, 0], [3, 6, 3, 0], [19, 0, 19, 0], [-9, 0, 9, 18], [-2, -2, 0, 2], [-16, 0, 0, 0], [0, -8, -8, -8], [17, 0, -17, 0], [-9, 0, 9, 18], [0, 0, -16, 0], [16, 16, 0, -16], [37, 0, -37, 0], [3, 0, -3, -6], [0, 0, 14, 0], [-11, -22, -11, 0], [9, 0, 9, 0], [0, -20, -20, -20], [-23, 0, 23, 0], [-9, 0, 9, 18], [7, 0, 7, 0], [0, -22, -22, -22], [0, 0, -22, 0], [2, 2, 0, -2], [-11, 0, -11, 0], [0, 12, 12, 12], [-5, 0, 5, 10], [15, 30, 15, 0], [7, 0, 7, 0], [0, -10, -10, -10], [3, 0, -3, -6], [5, 10, 5, 0], [4, 0, 0, 0], [-23, 0, -23, 0]], 'char_orbit_index': 9, 'field_poly': [1, 0, 3, 0, 1], 'hecke_orbit_code': 549789368380, 'hecke_ring_character_values': [[31, [1, 0, 0, 0]], [41, [-1, 0, 0, 0]], [37, [0, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 2, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 1], [-2, 1, 0, -1], [0, -1, 1, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [1, 1, 1, 0], [0, 2, 0, 1], [-1, 1, -1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '60.2.i.a', 'level': 60, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 240, 'analytic_conductor': 0.4791024121276823, 'char_conductor': 15, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 4, 'char_parity': 1, 'char_values': [60, 4, [31, 41, 37], [4, 2, 1]], 'conrey_index': 17, 'cusp_dim': 12, 'dim': 4, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 549789368380, 'hecke_orbit_dims': [4], 'label': '60.2.i', 'level': 60, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 36, 'mf_new_dim': 4, 'num_forms': 1, 'prim_orbit_index': 5, 'relative_dim': 2, 'sturm_bound': 24, 'trace_bound': 0, 'trace_display': [0, 2, 0, -4], 'traces': [4, 0, 2, 0, 0, 0, -4, 0, 0, 0, 0, 0, -12, 0, -10, 0, 0, 0, 0, 0, -4, 0, 0, 0, 20, 0, 14, 0, 0, 0, 16, 0, 20, 0, 0, 0, -12, 0, 0, 0, 0, 0, -12, 0, -20, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -4, 0, 0, 0, -24, 0, 8, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 10, 0, 0, 0, 0, 0, 4, 0, 0, 0, 20, 0, 20, 0, 0, 0, 24, 0, 8, 0, 0, 0, 36, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -20, 0, -24, 0, 0, 0, -36, 0, -40, 0, 0, 0, -52, 0, 0, 0, 0, 0, -8, 0, 10, 0, 0, 0, 0, 0, 60, 0, 0, 0, -40, 0, -10, 0, 0, 0, 16, 0, -20, 0, 0, 0, 36, 0, 0, 0, 0, 0, 68, 0, 20, 0, 0, 0, 0, 0, 16, 0, 0, 0, -20, 0, -40, 0, 0, 0, 56, 0, -12, 0, 0, 0, 40, 0, 0, 0, 0, 0, -12, 0, 60, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 20, 0, 0, 0, -64, 0, -20, 0, 0, 0, -16, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, -60, 0, -12, 0, 0, 0, -104, 0, -38, 0, 0, 0, 24, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 20, 0, -20, 0, 0, 0, 48, 0, 12, 0, 0, 0, 36, 0, 0, 0, 0, 0, 68, 0, -20, 0, 0, 0, 0, 0, 36, 0, 0, 0, 80, 0, 20, 0, 0, 0, 24, 0, 40, 0, 0, 0, -84, 0, 0, 0, 0, 0, -12, 0, 20, 0, 0, 0, 0, 0, -20, 0, 0, 0, -60, 0, 16, 0, 0, 0, -32, 0, 24, 0, 0, 0, 36, 0, 0, 0, 0, 0, -48, 0, -20, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 20, 0, 0, 0, 60, 0, -18, 0, 0, 0, -4, 0, 0, 0, 0, 0, -92, 0, -50, 0, 0, 0, 0, 0, -52, 0, 0, 0, 40, 0, -24, 0, 0, 0, -40, 0, 20, 0, 0, 0, -44, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 60, 0, 28, 0, 0, 0, 8, 0, 60, 0, 0, 0, 24, 0, 0, 0, 0, 0, 68, 0, -20, 0, 0, 0, 0, 0, 40, 0, 0, 0, 40, 0, 60, 0, 0, 0, 160, 0, 8, 0, 0, 0, -12, 0, 0, 0, 0, 0, -76, 0, -40, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -20, 0, 0, 0, 72, 0, 20, 0, 0, 0, -84, 0, 0, 0, 0, 0, -40, 0, -80, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -10, 0, 0, 0, -8, 0, 28, 0, 0, 0, -120, 0, 0, 0, 0, 0, -12, 0, -20, 0, 0, 0, 0, 0, -80, 0, 0, 0, 20, 0, 40, 0, 0, 0, -104, 0, 28, 0, 0, 0, 108, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 20, 0, -4, 0, 0, 0, -64, 0, -20, 0, 0, 0, -44, 0, 0, 0, 0, 0, -40, 0, 60, 0, 0, 0, 0, 0, 60, 0, 0, 0, -40, 0, 36, 0, 0, 0, 56, 0, 8, 0, 0, 0, 108, 0, 0, 0, 0, 0, 84, 0, -40, 0, 0, 0, 0, 0, -20, 0, 0, 0, 100, 0, -40, 0, 0, 0, 16, 0, -32, 0, 0, 0, 60, 0, 0, 0, 0, 0, 84, 0, 60, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 60, 0, 0, 0, 40, 0, 0, 0, 0, 0, 4, 0, 70, 0, 0, 0, 0, 0, -100, 0, 0, 0, -60, 0, -24, 0, 0, 0, -192, 0, -40, 0, 0, 0, -80, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -120, 0, 0, 0, 0, 0, -8, 0, -52, 0, 0, 0, -84, 0, 0, 0, 0, 0, 4, 0, -50, 0, 0, 0, 0, 0, 24, 0, 0, 0, -120, 0, -60, 0, 0, 0, 48, 0, -60, 0, 0, 0, 36, 0, 0, 0, 0, 0, 32, 0, 40, 0, 0, 0, 0, 0, 140, 0, 0, 0, 80, 0, 12, 0, 0, 0, 80, 0, -20, 0, 0, 0, 76, 0, 0, 0, 0, 0, 72, 0, 20, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -100, 0, 0, 0, -64, 0, 24, 0, 0, 0, 24, 0, 0, 0, 0, 0, 68, 0, 100, 0, 0, 0, 0, 0, 36, 0, 0, 0, 100, 0, 56, 0, 0, 0, -36, 0, -120, 0, 0, 0, 36, 0, 0, 0, 0, 0, 148, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -140, 0, 14, 0, 0, 0, 24, 0, -72, 0, 0, 0, 36, 0, 0, 0, 0, 0, -92, 0, 40, 0, 0, 0, 0, 0, 160, 0, 0, 0, -80, 0, -60, 0, 0, 0, 40, 0, 12, 0, 0, 0, 28, 0, 0, 0, 0, 0, -120, 0, 60, 0, 0, 0, 0, 0, -84, 0, 0, 0, -60, 0, 8, 0, 0, 0, -40, 0, -20, 0, 0, 0, -44, 0, 0, 0, 0, 0, -80, 0, -20, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, -40, 0, 0, 0, -60, 0, -20, 0, 0, 0, 28, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -60, 0, -60, 0, 0, 0, 16, 0, -16, 0, 0, 0, -92, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 49761
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '60.2.i.a', 'target_level': 60, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 49762
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '60.2.i.a', 'target_level': 60, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 49763
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '60.2.i.a', 'target_level': 60, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 49764
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '60.2.i.a', 'target_level': 60, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 49765
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '240.2.v.b', 'target_level': 240, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 49766
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '240.2.v.b', 'target_level': 240, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 49767
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '240.2.v.b', 'target_level': 240, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 49768
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '240.2.v.b', 'target_level': 240, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 49769
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '300.2.i.a', 'target_level': 300, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 49770
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '300.2.i.a', 'target_level': 300, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 49771
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '300.2.i.a', 'target_level': 300, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 49772
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '300.2.i.a', 'target_level': 300, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 49773
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '960.2.v.e', 'target_level': 960, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 49774
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '960.2.v.e', 'target_level': 960, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 49775
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '960.2.v.e', 'target_level': 960, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 49776
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '960.2.v.e', 'target_level': 960, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 49777
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '960.2.v.h', 'target_level': 960, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 49778
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '960.2.v.h', 'target_level': 960, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 49779
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '960.2.v.h', 'target_level': 960, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 49780
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '960.2.v.h', 'target_level': 960, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 49781
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1200.2.v.i', 'target_level': 1200, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 49782
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1200.2.v.i', 'target_level': 1200, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 49783
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1200.2.v.i', 'target_level': 1200, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 49784
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1200.2.v.i', 'target_level': 1200, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 49785
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 24, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1620.2.x.b', 'target_level': 1620, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 49786
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 24, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1620.2.x.b', 'target_level': 1620, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 49787
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 24, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1620.2.x.b', 'target_level': 1620, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 49788
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '60.2.i.a', 'source_level': 60, 'target_char_orbit': 24, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1620.2.x.b', 'target_level': 1620, 'twist_class_label': '60.2.i.a', 'twist_class_level': 60, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 193950
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 549789368380, 'p': 2}
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id: 193951
{'charpoly_factorization': [[[9, -6, 2, -2, 1], 1]], 'hecke_orbit_code': 549789368380, 'p': 3}
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id: 193952
{'charpoly_factorization': [[[-5, 0, 1], 2]], 'hecke_orbit_code': 549789368380, 'p': 5}
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id: 193953
{'charpoly_factorization': [[[2, 2, 1], 2]], 'hecke_orbit_code': 549789368380, 'p': 7}
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id: 193954
{'charpoly_factorization': [[[20, 0, 1], 2]], 'hecke_orbit_code': 549789368380, 'p': 11}
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id: 193955
{'charpoly_factorization': [[[18, 6, 1], 2]], 'hecke_orbit_code': 549789368380, 'p': 13}
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id: 193956
{'charpoly_factorization': [[[100, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 549789368380, 'p': 17}
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id: 193957
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 549789368380, 'p': 19}
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id: 193958
{'charpoly_factorization': [[[100, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 549789368380, 'p': 23}
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id: 193959
{'charpoly_factorization': [[[-20, 0, 1], 2]], 'hecke_orbit_code': 549789368380, 'p': 29}
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id: 193960
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 549789368380, 'p': 31}
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id: 193961
{'charpoly_factorization': [[[18, 6, 1], 2]], 'hecke_orbit_code': 549789368380, 'p': 37}
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id: 193962
{'charpoly_factorization': [[[80, 0, 1], 2]], 'hecke_orbit_code': 549789368380, 'p': 41}
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id: 193963
{'charpoly_factorization': [[[18, 6, 1], 2]], 'hecke_orbit_code': 549789368380, 'p': 43}
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id: 193964
{'charpoly_factorization': [[[8100, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 549789368380, 'p': 47}
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id: 193965
{'charpoly_factorization': [[[100, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 549789368380, 'p': 53}
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id: 193966
{'charpoly_factorization': [[[-80, 0, 1], 2]], 'hecke_orbit_code': 549789368380, 'p': 59}
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id: 193967
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 549789368380, 'p': 61}
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id: 193968
{'charpoly_factorization': [[[2, 2, 1], 2]], 'hecke_orbit_code': 549789368380, 'p': 67}
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id: 193969
{'charpoly_factorization': [[[20, 0, 1], 2]], 'hecke_orbit_code': 549789368380, 'p': 71}
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id: 193970
{'charpoly_factorization': [[[2, -2, 1], 2]], 'hecke_orbit_code': 549789368380, 'p': 73}
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id: 193971
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 549789368380, 'p': 79}
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id: 193972
{'charpoly_factorization': [[[8100, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 549789368380, 'p': 83}
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id: 193973
{'charpoly_factorization': [[[-20, 0, 1], 2]], 'hecke_orbit_code': 549789368380, 'p': 89}
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id: 193974
{'charpoly_factorization': [[[162, -18, 1], 2]], 'hecke_orbit_code': 549789368380, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 1, 'label': '60.2.i.a', 'level': 60, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 37850000
{'hecke_orbit_code': 549789368380, 'n': 1, 'trace_an': 4}
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id: 37850001
{'hecke_orbit_code': 549789368380, 'n': 2, 'trace_an': 0}
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id: 37850002
{'hecke_orbit_code': 549789368380, 'n': 3, 'trace_an': 2}
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id: 37850003
{'hecke_orbit_code': 549789368380, 'n': 4, 'trace_an': 0}
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id: 37850004
{'hecke_orbit_code': 549789368380, 'n': 5, 'trace_an': 0}
-
id: 37850005
{'hecke_orbit_code': 549789368380, 'n': 6, 'trace_an': 0}
-
id: 37850006
{'hecke_orbit_code': 549789368380, 'n': 7, 'trace_an': -4}
-
id: 37850007
{'hecke_orbit_code': 549789368380, 'n': 8, 'trace_an': 0}
-
id: 37850008
{'hecke_orbit_code': 549789368380, 'n': 9, 'trace_an': 0}
-
id: 37850009
{'hecke_orbit_code': 549789368380, 'n': 10, 'trace_an': 0}
-
id: 37850010
{'hecke_orbit_code': 549789368380, 'n': 11, 'trace_an': 0}
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id: 37850011
{'hecke_orbit_code': 549789368380, 'n': 12, 'trace_an': 0}
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id: 37850012
{'hecke_orbit_code': 549789368380, 'n': 13, 'trace_an': -12}
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id: 37850013
{'hecke_orbit_code': 549789368380, 'n': 14, 'trace_an': 0}
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id: 37850014
{'hecke_orbit_code': 549789368380, 'n': 15, 'trace_an': -10}
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id: 37850015
{'hecke_orbit_code': 549789368380, 'n': 16, 'trace_an': 0}
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id: 37850016
{'hecke_orbit_code': 549789368380, 'n': 17, 'trace_an': 0}
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id: 37850017
{'hecke_orbit_code': 549789368380, 'n': 18, 'trace_an': 0}
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id: 37850018
{'hecke_orbit_code': 549789368380, 'n': 19, 'trace_an': 0}
-
id: 37850019
{'hecke_orbit_code': 549789368380, 'n': 20, 'trace_an': 0}
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id: 37850020
{'hecke_orbit_code': 549789368380, 'n': 21, 'trace_an': -4}
-
id: 37850021
{'hecke_orbit_code': 549789368380, 'n': 22, 'trace_an': 0}
-
id: 37850022
{'hecke_orbit_code': 549789368380, 'n': 23, 'trace_an': 0}
-
id: 37850023
{'hecke_orbit_code': 549789368380, 'n': 24, 'trace_an': 0}
-
id: 37850024
{'hecke_orbit_code': 549789368380, 'n': 25, 'trace_an': 20}
-
id: 37850025
{'hecke_orbit_code': 549789368380, 'n': 26, 'trace_an': 0}
-
id: 37850026
{'hecke_orbit_code': 549789368380, 'n': 27, 'trace_an': 14}
-
id: 37850027
{'hecke_orbit_code': 549789368380, 'n': 28, 'trace_an': 0}
-
id: 37850028
{'hecke_orbit_code': 549789368380, 'n': 29, 'trace_an': 0}
-
id: 37850029
{'hecke_orbit_code': 549789368380, 'n': 30, 'trace_an': 0}
-
id: 37850030
{'hecke_orbit_code': 549789368380, 'n': 31, 'trace_an': 16}
-
id: 37850031
{'hecke_orbit_code': 549789368380, 'n': 32, 'trace_an': 0}
-
id: 37850032
{'hecke_orbit_code': 549789368380, 'n': 33, 'trace_an': 20}
-
id: 37850033
{'hecke_orbit_code': 549789368380, 'n': 34, 'trace_an': 0}
-
id: 37850034
{'hecke_orbit_code': 549789368380, 'n': 35, 'trace_an': 0}
-
id: 37850035
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