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mf_newforms • Show schema
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{'Nk2': 7488, 'analytic_conductor': 14.947995258383688, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 51, 'char_orbit_label': 'by', 'char_order': 6, 'char_parity': 1, 'char_values': [1872, 6, [703, 469, 209, 145], [6, 6, 6, 1]], 'cm_discs': [], 'conrey_index': 433, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [3, 0, 1]], [7, [36, 36, 6, -6, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45039432281098064, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 9, 'hecke_ring_index_factorization': [[3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 5, 1, 6, 0]], 'is_cm': False, 'is_largest': False, 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mf_hecke_nf • Show schema
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3], [44, 0, 44, 0], [8, 0, -16, -5], [-3, -2, -3, 0], [-45, 1, 45, -2], [0, 1, -27, 1], [52, 2, -26, -2], [-48, -8, 0, 4], [48, -3, -24, 3], [-13, 0, 26, 3], [-33, 14, 0, -7], [7, 8, 0, -4], [11, 0, -22, 12], [17, -3, 17, 0], [60, 1, -60, -2], [0, -2, 30, -2], [33, 3, -33, -6], [-28, -11, 14, 11], [-14, -14, -14, 0], [-26, -8, 26, 16], [-3, 0, 0, 0], [-44, -8, 0, 4], [0, 8, 21, 8], [0, -4, -24, -4], [6, -19, -3, 19], [-41, 8, 41, -16], [13, 0, -26, -20], [0, -1, -43, -1]], 'char_orbit_index': 51, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 45039432281098064, 'hecke_ring_character_values': [[703, [1, 0, 0, 0]], [469, [1, 0, 0, 0]], [209, [1, 0, 0, 0]], [145, [1, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 3, 1, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 3, 0, 0], [0, 0, 1, 0], [0, 0, 0, 3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '1872.2.by.k', 'level': 1872, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 7488, 'analytic_conductor': 14.947995258383688, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 51, 'char_orbit_label': 'by', 'char_order': 6, 'char_parity': 1, 'char_values': [1872, 6, [703, 469, 209, 145], [6, 6, 6, 1]], 'conrey_index': 433, 'cusp_dim': 624, 'dim': 68, 'eis_dim': 96, 'eis_new_dim': 4, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 3436007393104, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 8, 8, 16], 'label': '1872.2.by', 'level': 1872, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'mf_dim': 720, 'mf_new_dim': 72, 'num_forms': 15, 'prim_orbit_index': 5, 'relative_dim': 34, 'sturm_bound': 672, 'trace_bound': 17, 'trace_display': [0, 0, 0, -3], 'traces': [68, 0, 0, 0, 0, 0, -3, 0, 0, 0, -3, 0, -1, 0, 0, 0, 2, 0, 3, 0, 0, 0, 5, 0, -62, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, -6, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, 27, 0, 0, 0, 10, 0, 24, 0, 0, 0, -45, 0, -4, 0, 0, 0, -27, 0, -27, 0, 0, 0, -39, 0, 0, 0, 0, 0, 26, 0, 24, 0, 0, 0, 0, 0, 15, 0, 0, 0, 3, 0, 13, 0, 0, 0, 18, 0, -3, 0, 0, 0, -2, 0, 12, 0, 0, 0, 45, 0, 0, 0, 0, 0, 22, 0, 18, 0, 0, 0, -9, 0, 35, 0, 0, 0, 0, 0, -17, 0, 0, 0, -12, 0, -19, 0, 0, 0, -18, 0, -5, 0, 0, 0, 5, 0, 3, 0, 0, 0, -12, 0, 0, 0, 0, 0, 36, 0, 30, 0, 0, 0, 0, 0, 105, 0, 0, 0, 105, 0, -41, 0, 0, 0, 15, 0, 105, 0, 0, 0, -49, 0, -26, 0, 0, 0, 5, 0, 0, 0, 0, 0, -29, 0, -42, 0, 0, 0, 39, 0, -19, 0, 0, 0, 0, 0, 9, 0, 0, 0, 18, 0, -37, 0, 0, 0, 120, 0, 38, 0, 0, 0, -53, 0, -111, 0, 0, 0, 105, 0, 0, 0, 0, 0, -48, 0, -116, 0, 0, 0, 0, 0, 12, 0, 0, 0, -21, 0, 101, 0, 0, 0, -69, 0, 33, 0, 0, 0, -8, 0, -86, 0, 0, 0, -81, 0, 0, 0, 0, 0, 55, 0, -105, 0, 0, 0, -3, 0, 44, 0, 0, 0, 0, 0, 21, 0, 0, 0, -146, 0, -28, 0, 0, 0, -6, 0, -4, 0, 0, 0, 37, 0, -3, 0, 0, 0, -33, 0, 0, 0, 0, 0, -52, 0, 48, 0, 0, 0, 0, 0, 51, 0, 0, 0, -207, 0, -88, 0, 0, 0, -34, 0, -75, 0, 0, 0, 46, 0, -54, 0, 0, 0, -6, 0, 0, 0, 0, 0, 43, 0, -75, 0, 0, 0, 18, 0, 110, 0, 0, 0, 0, 0, -9, 0, 0, 0, 10, 0, 55, 0, 0, 0, -150, 0, 10, 0, 0, 0, 104, 0, -159, 0, 0, 0, -117, 0, 0, 0, 0, 0, -146, 0, 22, 0, 0, 0, 0, 0, -15, 0, 0, 0, 18, 0, 2, 0, 0, 0, 69, 0, -42, 0, 0, 0, 3, 0, 64, 0, 0, 0, 125, 0, 0, 0, 0, 0, -41, 0, 201, 0, 0, 0, 45, 0, 22, 0, 0, 0, 0, 0, -75, 0, 0, 0, 192, 0, -32, 0, 0, 0, 15, 0, -81, 0, 0, 0, -12, 0, -54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 94, 0, 0, 0, 0, 0, 69, 0, 0, 0, 279, 0, -20, 0, 0, 0, -12, 0, 57, 0, 0, 0, -77, 0, 0, 0, 0, 0, 43, 0, 0, 0, 0, 0, -35, 0, -111, 0, 0, 0, 66, 0, 40, 0, 0, 0, 0, 0, -22, 0, 0, 0, -30, 0, -103, 0, 0, 0, 204, 0, 15, 0, 0, 0, 102, 0, -90, 0, 0, 0, 192, 0, 0, 0, 0, 0, 112, 0, -84, 0, 0, 0, 0, 0, -36, 0, 0, 0, -30, 0, -109, 0, 0, 0, -103, 0, 87, 0, 0, 0, -5, 0, -24, 0, 0, 0, -181, 0, 0, 0, 0, 0, -82, 0, -138, 0, 0, 0, -111, 0, 34, 0, 0, 0, 0, 0, -56, 0, 0, 0, -212, 0, 16, 0, 0, 0, -207, 0, -71, 0, 0, 0, 6, 0, -66, 0, 0, 0, 66, 0, 0, 0, 0, 0, -226, 0, 244, 0, 0, 0, 0, 0, -171, 0, 0, 0, -426, 0, -13, 0, 0, 0, 38, 0, -99, 0, 0, 0, 29, 0, 30, 0, 0, 0, -5, 0, 0, 0, 0, 0, 53, 0, 114, 0, 0, 0, 0, 0, 29, 0, 0, 0, 0, 0, -32, 0, 0, 0, 128, 0, 109, 0, 0, 0, -183, 0, -143, 0, 0, 0, -79, 0, 159, 0, 0, 0, -216, 0, 0, 0, 0, 0, 32, 0, 398, 0, 0, 0, 0, 0, -54, 0, 0, 0, -78, 0, -280, 0, 0, 0, 117, 0, 24, 0, 0, 0, 63, 0, 184, 0, 0, 0, 239, 0, 0, 0, 0, 0, 59, 0, 339, 0, 0, 0, 261, 0, 91, 0, 0, 0, 0, 0, -71, 0, 0, 0, 308, 0, 5, 0, 0, 0, 111, 0, -36, 0, 0, 0, 63, 0, -39, 0, 0, 0, 195, 0, 0, 0, 0, 0, 218, 0, -146, 0, 0, 0, 0, 0, 27, 0, 0, 0, 507, 0, -207, 0, 0, 0, 67, 0, 228, 0, 0, 0, -44, 0, 304, 0, 0, 0, -82, 0, 0, 0, 0, 0, -96, 0, -87, 0, 0, 0, 63, 0, -105, 0, 0, 0, 0, 0, -12, 0, 0, 0, -118, 0, -216, 0, 0, 0, 141, 0, 44, 0, 0, 0, -253, 0, 108, 0, 0, 0, 303, 0, 0, 0, 0, 0, -130, 0, 140, 0, 0, 0, 0, 0, 102, 0, 0, 0, -60, 0, -207, 0, 0, 0, -164, 0, 300, 0, 0, 0, -80, 0, -84, 0, 0, 0, -245, 0, 0, 0, 0, 0, 42, 0, -384, 0, 0, 0, -156, 0, -5, 0, 0, 0, 0, 0, 129, 0, 0, 0, -256, 0, -46, 0, 0, 0, 132, 0, 117, 0, 0, 0, -81, 0, -129, 0, 0, 0, -48, 0, 0, 0, 0, 0, -360, 0, 70, 0, 0, 0, 0, 0, -195, 0, 0, 0, -513, 0, -21, 0, 0, 0, -57, 0, 126, 0, 0, 0, 115, 0, -132, 0, 0, 0, -103, 0, 0, 0, 0, 0, 123, 0, 105, 0, 0, 0, -120, 0, 59, 0, 0, 0, 0, 0, 20, 0, 0, 0, -74, 0, 63, 0, 0, 0, -306, 0, -84, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 831545
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '78.2.i.b', 'target_level': 78, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 831546
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '78.2.i.b', 'target_level': 78, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '156.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 831547
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '234.2.l.a', 'target_level': 234, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 831548
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '234.2.l.a', 'target_level': 234, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 831549
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 48, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '624.2.bv.d', 'target_level': 624, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 831550
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 48, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '624.2.bv.d', 'target_level': 624, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 831551
{'conductor': 156, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1014.2.a.h', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '156.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 831552
{'conductor': 156, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1014.2.a.j', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '156.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 831553
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1014.2.b.d', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '156.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 831554
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1014.2.b.d', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '156.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 831555
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1014.2.e.h', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 831556
{'conductor': 156, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1014.2.e.h', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '156.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 831557
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1014.2.e.j', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 831558
{'conductor': 156, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1014.2.e.j', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '156.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 831559
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1014.2.i.f', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 831560
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1014.2.i.f', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '156.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 831561
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 51, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1872.2.by.k', 'target_level': 1872, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 831562
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 51, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1872.2.by.k', 'target_level': 1872, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 831563
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1950.2.y.a', 'target_level': 1950, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 831564
{'conductor': 780, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1950.2.y.a', 'target_level': 1950, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '780.cw', 'twisting_char_orbit': 75, 'weight': 2}
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id: 831565
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1950.2.y.h', 'target_level': 1950, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 831566
{'conductor': 780, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1950.2.y.h', 'target_level': 1950, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '780.cw', 'twisting_char_orbit': 75, 'weight': 2}
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id: 831567
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 29, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1950.2.bc.c', 'target_level': 1950, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 831568
{'conductor': 780, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 29, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1950.2.bc.c', 'target_level': 1950, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '780.cb', 'twisting_char_orbit': 54, 'weight': 2}
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id: 831569
{'conductor': 52, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '3042.2.a.s', 'target_level': 3042, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 831570
{'conductor': 52, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '3042.2.a.v', 'target_level': 3042, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 831571
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3042.2.b.l', 'target_level': 3042, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 831572
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3042.2.b.l', 'target_level': 3042, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 831573
{'conductor': 39, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '8112.2.a.bq', 'target_level': 8112, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 831574
{'conductor': 39, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 51, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1872.2.by.k', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 50, 'target_is_minimal': False, 'target_label': '8112.2.a.bx', 'target_level': 8112, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2269500
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45039432281098064, 'p': 2}
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id: 2269501
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45039432281098064, 'p': 3}
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id: 2269502
{'charpoly_factorization': [[[3, 0, 1], 2]], 'hecke_orbit_code': 45039432281098064, 'p': 5}
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id: 2269503
{'charpoly_factorization': [[[36, 36, 6, -6, 1], 1]], 'hecke_orbit_code': 45039432281098064, 'p': 7}
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id: 2269504
{'charpoly_factorization': [[[36, 36, 6, -6, 1], 1]], 'hecke_orbit_code': 45039432281098064, 'p': 11}
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id: 2269505
{'charpoly_factorization': [[[169, 52, 3, 4, 1], 1]], 'hecke_orbit_code': 45039432281098064, 'p': 13}
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id: 2269506
{'charpoly_factorization': [[[729, 0, 27, 0, 1], 1]], 'hecke_orbit_code': 45039432281098064, 'p': 17}
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id: 2269507
{'charpoly_factorization': [[[36, 36, 6, -6, 1], 1]], 'hecke_orbit_code': 45039432281098064, 'p': 19}
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id: 2269508
{'charpoly_factorization': [[[324, -108, 54, 6, 1], 1]], 'hecke_orbit_code': 45039432281098064, 'p': 23}
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id: 2269509
{'charpoly_factorization': [[[9, 3, 1], 2]], 'hecke_orbit_code': 45039432281098064, 'p': 29}
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id: 2269510
{'charpoly_factorization': [[[576, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 45039432281098064, 'p': 31}
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id: 2269511
{'charpoly_factorization': [[[81, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 45039432281098064, 'p': 37}
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id: 2269512
{'charpoly_factorization': [[[9, 36, 51, 12, 1], 1]], 'hecke_orbit_code': 45039432281098064, 'p': 41}
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id: 2269513
{'charpoly_factorization': [[[676, -52, 30, 2, 1], 1]], 'hecke_orbit_code': 45039432281098064, 'p': 43}
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id: 2269514
{'charpoly_factorization': [[[36, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 45039432281098064, 'p': 47}
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id: 2269515
{'charpoly_factorization': [[[3, 1], 4]], 'hecke_orbit_code': 45039432281098064, 'p': 53}
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id: 2269516
{'charpoly_factorization': [[[192, 24, 1], 2]], 'hecke_orbit_code': 45039432281098064, 'p': 59}
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id: 2269517
{'charpoly_factorization': [[[5329, 1460, 327, 20, 1], 1]], 'hecke_orbit_code': 45039432281098064, 'p': 61}
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id: 2269518
{'charpoly_factorization': [[[6084, 468, -66, -6, 1], 1]], 'hecke_orbit_code': 45039432281098064, 'p': 67}
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id: 2269519
{'charpoly_factorization': [[[324, -324, 126, -18, 1], 1]], 'hecke_orbit_code': 45039432281098064, 'p': 71}
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id: 2269520
{'charpoly_factorization': [[[147, 0, 1], 2]], 'hecke_orbit_code': 45039432281098064, 'p': 73}
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id: 2269521
{'charpoly_factorization': [[[-104, -4, 1], 2]], 'hecke_orbit_code': 45039432281098064, 'p': 79}
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id: 2269522
{'charpoly_factorization': [[[4356, 0, 168, 0, 1], 1]], 'hecke_orbit_code': 45039432281098064, 'p': 83}
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id: 2269523
{'charpoly_factorization': [[[576, 288, 24, -12, 1], 1]], 'hecke_orbit_code': 45039432281098064, 'p': 89}
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id: 2269524
{'charpoly_factorization': [[[1296, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 45039432281098064, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 51, 'hecke_orbit': 11, 'label': '1872.2.by.k', 'level': 1872, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 55627873
{'hecke_orbit_code': 45039432281098064, 'n': 1, 'trace_an': 4}
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id: 55627874
{'hecke_orbit_code': 45039432281098064, 'n': 2, 'trace_an': 0}
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id: 55627875
{'hecke_orbit_code': 45039432281098064, 'n': 3, 'trace_an': 0}
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id: 55627876
{'hecke_orbit_code': 45039432281098064, 'n': 4, 'trace_an': 0}
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id: 55627877
{'hecke_orbit_code': 45039432281098064, 'n': 5, 'trace_an': 0}
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id: 55627878
{'hecke_orbit_code': 45039432281098064, 'n': 6, 'trace_an': 0}
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id: 55627879
{'hecke_orbit_code': 45039432281098064, 'n': 7, 'trace_an': 6}
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id: 55627880
{'hecke_orbit_code': 45039432281098064, 'n': 8, 'trace_an': 0}
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id: 55627881
{'hecke_orbit_code': 45039432281098064, 'n': 9, 'trace_an': 0}
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id: 55627882
{'hecke_orbit_code': 45039432281098064, 'n': 10, 'trace_an': 0}
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id: 55627883
{'hecke_orbit_code': 45039432281098064, 'n': 11, 'trace_an': 6}
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id: 55627884
{'hecke_orbit_code': 45039432281098064, 'n': 12, 'trace_an': 0}
-
id: 55627885
{'hecke_orbit_code': 45039432281098064, 'n': 13, 'trace_an': -4}
-
id: 55627886
{'hecke_orbit_code': 45039432281098064, 'n': 14, 'trace_an': 0}
-
id: 55627887
{'hecke_orbit_code': 45039432281098064, 'n': 15, 'trace_an': 0}
-
id: 55627888
{'hecke_orbit_code': 45039432281098064, 'n': 16, 'trace_an': 0}
-
id: 55627889
{'hecke_orbit_code': 45039432281098064, 'n': 17, 'trace_an': 0}
-
id: 55627890
{'hecke_orbit_code': 45039432281098064, 'n': 18, 'trace_an': 0}
-
id: 55627891
{'hecke_orbit_code': 45039432281098064, 'n': 19, 'trace_an': 6}
-
id: 55627892
{'hecke_orbit_code': 45039432281098064, 'n': 20, 'trace_an': 0}
-
id: 55627893
{'hecke_orbit_code': 45039432281098064, 'n': 21, 'trace_an': 0}
-
id: 55627894
{'hecke_orbit_code': 45039432281098064, 'n': 22, 'trace_an': 0}
-
id: 55627895
{'hecke_orbit_code': 45039432281098064, 'n': 23, 'trace_an': -6}
-
id: 55627896
{'hecke_orbit_code': 45039432281098064, 'n': 24, 'trace_an': 0}
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id: 55627897
{'hecke_orbit_code': 45039432281098064, 'n': 25, 'trace_an': 8}
-
id: 55627898
{'hecke_orbit_code': 45039432281098064, 'n': 26, 'trace_an': 0}
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id: 55628102
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id: 55628103
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id: 55628104
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id: 55628105
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id: 55628106
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id: 55628107
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id: 55628108
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id: 55628109
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id: 55628110
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id: 55628111
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id: 55628112
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id: 55628113
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id: 55628114
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id: 55628115
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id: 55628116
{'hecke_orbit_code': 45039432281098064, 'n': 907, 'trace_an': 20}
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id: 55628117
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id: 55628118
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id: 55628119
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id: 55628120
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id: 55628121
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id: 55628122
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id: 55628123
{'hecke_orbit_code': 45039432281098064, 'n': 953, 'trace_an': 48}
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id: 55628124
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id: 55628125
{'hecke_orbit_code': 45039432281098064, 'n': 967, 'trace_an': 0}
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id: 55628126
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id: 55628127
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id: 55628128
{'hecke_orbit_code': 45039432281098064, 'n': 983, 'trace_an': 0}
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id: 55628129
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id: 55628130
{'hecke_orbit_code': 45039432281098064, 'n': 997, 'trace_an': -16}