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mf_newforms • Show schema
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{'Nk2': 832, 'analytic_conductor': 1.660888362042632, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 23, 'char_orbit_label': 'w', 'char_order': 6, 'char_parity': 1, 'char_values': [208, 6, [79, 53, 145], [6, 6, 1]], 'cm_discs': [], 'conrey_index': 17, 'dim': 8, 'field_disc': 195105024, 'field_disc_factorization': [[2, 8], [3, 4], [97, 2]], 'field_poly': [81, -108, 45, 12, -20, 4, 5, -4, 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, [16, -32, 92, 40, 61, 2, 11, 2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008711116783824, 'hecke_ring_generator_nbound': 9, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], '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': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '208.2.w.c', 'level': 208, '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, 13], 'level_radical': 26, 'minimal_twist': '104.2.o.a', 'nf_label': '8.0.195105024.2', 'prim_orbit_index': 5, 'qexp_display': 'q+(\\beta _{2}-\\beta _{4}+\\beta _{5})q^{3}+(\\beta _{1}+\\beta _{3}+\\beta _{5}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '208.2.w', 'trace_display': [0, -2, 0, 6], 'trace_hash': 120066697614863850, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.684', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, -1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-2, -1, -1, 0, 0, -2, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, -1, -1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -1, 0, -1, -1, -1, -2], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 2, -1, 0, 2, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 2, 0, -1, 2, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, -1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-3, -1, 0, 0, -1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [5, -2, 0, -1, 2, 1, 1, 2], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, -2, 1, 2, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, 0, -2, 1, 1, 5, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 1, -1, 0, 2, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-4, 2, 0, 0, 0, -4, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0], [-5, 0, -1, 0, -1, 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17, -16, 5, 2], [1, 14, -5, 4, 10, -5, 0, 0], [16, -3, -8, -3, 4, 29, -3, -3], [6, -7, 0, -6, 5, 6, 6, 7], [6, 0, 0, -3, -7, 3, 3, 0], [6, 8, 4, 0, -2, 12, 0, 8], [-10, 2, 7, 3, -14, 7, 0, 0], [2, -12, 6, -4, -6, 21, -2, -6], [10, 0, 0, 3, -5, -3, -3, 0], [3, 4, -12, -6, 12, -6, -3, 2], [-5, 8, -8, 10, 8, -6, 5, 4], [28, -4, 0, -2, 2, 2, 2, 4], [-9, 4, -17, 6, 0, -3, 12, 8], [17, 6, 0, 0, 0, -17, 0, 0], [18, -3, 0, 0, -5, 0, 0, 3], [-4, 8, 4, -2, -2, -10, -2, 8], [18, 0, -1, 0, -1, 15, 12, 12], [7, 9, -3, -2, 0, 5, -4, 18], [2, 4, 10, 11, -5, 15, 11, 4], [-11, -8, 5, 0, 0, -11, 0, -16], [28, 0, -2, 0, -2, 19, 10, 8], [18, -8, 2, -5, -1, 31, -5, -8], [4, -12, -7, -8, 7, 5, -4, -6], [-10, 6, -1, 5, 0, -5, 10, 12]], 'char_orbit_index': 23, 'field_poly': [81, -108, 45, 12, -20, 4, 5, -4, 1], 'hecke_orbit_code': 9008711116783824, 'hecke_ring_character_values': [[79, [1, 0, 0, 0, 0, 0, 0, 0]], [53, [1, 0, 0, 0, 0, 0, 0, 0]], [145, [1, 0, 0, 0, 0, 1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 108, 108, 108, 54, 108, 108, 108], 'hecke_ring_inverse_denominators': [1, 2, 1, 2, 1, 2, 1, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 1, 0, 0, 0, 0], [1, 1, 1, 0, 0, 0, 0, 0], [0, 4, 0, 3, 1, 5, 1, 0], [-1, 4, -1, 0, -1, -2, -2, 1], [1, 4, -5, 8, -7, -5, 3, -4], [-15, 0, 0, 4, -2, -28, -4, -4], [3, 4, -9, 7, 20, -56, 16, -20]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [-27, -45, 42, 10, 10, 2, -1, 1], [-81, 45, 66, -10, -10, -2, 1, -1], [-27, 171, -66, 10, 10, 2, -1, 1], [54, -9, -18, 22, -2, -10, 2, 1], [162, -153, 18, 52, -26, -4, 8, -5], [-729, 450, -24, -158, 64, 26, -37, 16], [-891, 801, -150, -218, 130, 14, -49, 19]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '208.2.w.c', 'level': 208, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 832, 'analytic_conductor': 1.660888362042632, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 23, 'char_orbit_label': 'w', 'char_order': 6, 'char_parity': 1, 'char_values': [208, 6, [79, 53, 145], [6, 6, 1]], 'conrey_index': 17, 'cusp_dim': 44, 'dim': 12, 'eis_dim': 24, 'eis_new_dim': 4, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 1511862042832, 'hecke_orbit_dims': [2, 2, 8], 'label': '208.2.w', 'level': 208, '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, 13], 'level_radical': 26, 'mf_dim': 68, 'mf_new_dim': 16, 'num_forms': 3, 'prim_orbit_index': 5, 'relative_dim': 6, 'sturm_bound': 56, 'trace_bound': 3, 'trace_display': [0, -1, 0, 9], 'traces': [12, 0, -1, 0, 0, 0, 9, 0, -5, 0, 3, 0, -1, 0, -6, 0, 0, 0, 3, 0, 0, 0, -5, 0, -6, 0, 26, 0, -2, 0, 0, 0, -3, 0, -16, 0, -18, 0, -5, 0, -6, 0, 7, 0, 27, 0, 0, 0, -9, 0, -50, 0, 2, 0, -16, 0, 0, 0, -39, 0, 0, 0, -30, 0, 5, 0, 33, 0, -3, 0, 39, 0, 0, 0, 21, 0, -42, 0, -32, 0, -10, 0, 0, 0, 15, 0, 25, 0, -3, 0, 49, 0, 30, 0, -22, 0, 21, 0, 0, 0, 20, 0, 36, 0, 16, 0, 11, 0, 0, 0, 105, 0, -4, 0, 18, 0, 40, 0, -3, 0, -9, 0, -15, 0, 0, 0, -13, 0, -46, 0, 52, 0, -19, 0, 0, 0, 24, 0, -49, 0, -30, 0, -41, 0, 51, 0, -6, 0, -18, 0, 0, 0, 43, 0, -92, 0, -26, 0, -36, 0, 0, 0, -99, 0, -8, 0, -105, 0, 19, 0, 12, 0, -11, 0, 21, 0, 0, 0, 29, 0, 38, 0, -50, 0, -11, 0, 0, 0, -21, 0, 73, 0, 18, 0, 110, 0, -39, 0, -31, 0, -75, 0, 0, 0, -31, 0, 64, 0, -34, 0, 39, 0, 0, 0, 96, 0, -18, 0, 66, 0, -7, 0, 9, 0, -8, 0, -45, 0, 0, 0, -11, 0, 24, 0, 12, 0, 28, 0, 0, 0, -36, 0, -90, 0, 3, 0, -75, 0, -42, 0, 53, 0, 33, 0, 0, 0, -42, 0, -70, 0, 86, 0, -27, 0, 0, 0, -201, 0, 21, 0, -21, 0, 12, 0, 39, 0, -20, 0, -18, 0, 0, 0, 17, 0, -24, 0, 26, 0, 16, 0, 0, 0, 12, 0, 76, 0, -39, 0, 71, 0, 93, 0, -47, 0, 111, 0, 0, 0, 28, 0, 108, 0, -16, 0, 72, 0, 0, 0, 171, 0, 49, 0, 147, 0, -28, 0, -48, 0, 34, 0, -15, 0, 0, 0, -78, 0, -38, 0, 94, 0, 6, 0, 0, 0, 84, 0, -79, 0, 69, 0, -150, 0, 60, 0, 14, 0, -93, 0, 0, 0, 43, 0, -28, 0, 42, 0, -53, 0, 0, 0, -102, 0, -42, 0, -66, 0, -26, 0, -3, 0, 1, 0, 69, 0, 0, 0, 50, 0, 38, 0, -122, 0, -16, 0, 0, 0, -111, 0, 77, 0, 12, 0, 62, 0, -207, 0, -1, 0, -66, 0, 0, 0, -83, 0, 80, 0, -38, 0, -13, 0, 0, 0, 234, 0, -43, 0, 45, 0, -51, 0, -57, 0, -22, 0, -54, 0, 0, 0, -23, 0, 122, 0, 0, 0, 36, 0, 0, 0, -87, 0, -49, 0, 6, 0, -120, 0, -126, 0, 89, 0, 90, 0, 0, 0, -52, 0, -168, 0, -34, 0, -64, 0, 0, 0, -195, 0, 17, 0, -111, 0, -20, 0, -45, 0, 84, 0, 57, 0, 0, 0, 53, 0, -16, 0, -144, 0, 5, 0, 0, 0, 129, 0, 75, 0, -27, 0, 97, 0, 108, 0, -36, 0, 39, 0, 0, 0, 106, 0, 154, 0, 42, 0, 81, 0, 0, 0, 108, 0, 75, 0, 6, 0, 0, 0, -42, 0, 53, 0, -12, 0, 0, 0, -48, 0, -64, 0, 100, 0, -69, 0, 0, 0, 84, 0, -38, 0, -36, 0, -89, 0, 129, 0, 115, 0, -45, 0, 0, 0, 41, 0, 8, 0, -230, 0, 25, 0, 0, 0, -231, 0, 10, 0, 30, 0, -20, 0, 51, 0, -14, 0, -57, 0, 0, 0, 0, 0, 178, 0, -4, 0, -12, 0, 0, 0, 9, 0, 65, 0, 81, 0, 10, 0, -78, 0, -30, 0, -12, 0, 0, 0, -77, 0, 178, 0, -92, 0, 113, 0, 0, 0, 129, 0, -47, 0, 174, 0, 19, 0, -48, 0, -36, 0, -15, 0, 0, 0, -97, 0, 94, 0, 68, 0, 49, 0, 0, 0, -159, 0, -93, 0, 6, 0, -8, 0, -216, 0, -35, 0, -3, 0, 0, 0, -100, 0, -22, 0, 184, 0, -23, 0, 0, 0, -69, 0, 93, 0, 24, 0, -47, 0, 99, 0, -2, 0, 156, 0, 0, 0, 34, 0, -152, 0, -114, 0, 100, 0, 0, 0, 42, 0, 84, 0, 54, 0, 48, 0, 258, 0, -49, 0, -48, 0, 0, 0, 21, 0, 0, 0, 172, 0, -83, 0, 0, 0, 162, 0, 5, 0, -21, 0, -64, 0, -57, 0, 35, 0, -108, 0, 0, 0, 17, 0, -6, 0, -44, 0, -27, 0, 0, 0, 81, 0, -16, 0, 201, 0, -99, 0, 153, 0, -43, 0, -123, 0, 0, 0, 99, 0, -98, 0, -82, 0, -27, 0, 0, 0, -129, 0, -119, 0, -195, 0, 9, 0, -30, 0, -31, 0, -180, 0, 0, 0, 12, 0, 16, 0, -46, 0, -20, 0, 0, 0, -183, 0, 28, 0, 57, 0, 10, 0, -327, 0, -49, 0, -159, 0, 0, 0, -60, 0, 150, 0, -86, 0, 56, 0, 0, 0, -9, 0, -24, 0, 30, 0, 19, 0, 0, 0, -91, 0, -51, 0, 0, 0, 2, 0, 118, 0, 132, 0, 35, 0, 0, 0, -102, 0, -8, 0, -132, 0, -55, 0, -234, 0, 56, 0, 24, 0, 0, 0, -98, 0, 36, 0, -96, 0, 57, 0, 0, 0, -75, 0, 46, 0, 72, 0, 41, 0, -72, 0, 71, 0, -93, 0, 0, 0, 9, 0, -30, 0, 112, 0, 82, 0, 0, 0, 156, 0, 21, 0, -150, 0, -3, 0, 171, 0, 78, 0, 186, 0, 0, 0, 164, 0, 0, 0, 174, 0, 58, 0, 0, 0, 21, 0, 88, 0, 225, 0, 135, 0, 90, 0, 45, 0, -90, 0, 0, 0, 1, 0, -60, 0, -24, 0, -95, 0, 0, 0, 99, 0, -75, 0, -39, 0, 25, 0, 282, 0, 19, 0, 0, 0, 0, 0, 88, 0, -4, 0, -134, 0, -49, 0, 0, 0, 90, 0, -32, 0, 99, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 171385
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 15, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '104.2.o.a', 'target_level': 104, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 171386
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 15, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '104.2.o.a', 'target_level': 104, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 171387
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 23, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '208.2.w.c', 'target_level': 208, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 171388
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 23, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '208.2.w.c', 'target_level': 208, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 171389
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 23, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '832.2.w.g', 'target_level': 832, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 171390
{'conductor': 104, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 23, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '832.2.w.g', 'target_level': 832, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '104.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 171391
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 23, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '832.2.w.i', 'target_level': 832, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 171392
{'conductor': 104, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 23, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '832.2.w.i', 'target_level': 832, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '104.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 171393
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 35, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '936.2.bi.b', 'target_level': 936, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 171394
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 35, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '936.2.bi.b', 'target_level': 936, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '156.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 171395
{'conductor': 52, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1352.2.a.k', 'target_level': 1352, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 171396
{'conductor': 52, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1352.2.a.l', 'target_level': 1352, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 171397
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1352.2.f.f', 'target_level': 1352, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 171398
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1352.2.f.f', 'target_level': 1352, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 171399
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1352.2.i.k', 'target_level': 1352, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 171400
{'conductor': 52, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1352.2.i.k', 'target_level': 1352, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 171401
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1352.2.i.l', 'target_level': 1352, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 171402
{'conductor': 52, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1352.2.i.l', 'target_level': 1352, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 171403
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 15, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1352.2.o.f', 'target_level': 1352, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 171404
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 15, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1352.2.o.f', 'target_level': 1352, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 171405
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 51, 'target_dim': 8, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1872.2.by.n', 'target_level': 1872, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 171406
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 51, 'target_dim': 8, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1872.2.by.n', 'target_level': 1872, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 171407
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '2704.2.a.bd', 'target_level': 2704, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 171408
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '2704.2.a.be', 'target_level': 2704, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 171409
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '2704.2.f.q', 'target_level': 2704, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 171410
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '208.2.w.c', 'source_level': 208, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '2704.2.f.q', 'target_level': 2704, 'twist_class_label': '104.2.o.a', 'twist_class_level': 104, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 512150
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9008711116783824, 'p': 2}
-
id: 512151
{'charpoly_factorization': [[[16, -32, 92, 40, 61, 2, 11, 2, 1], 1]], 'hecke_orbit_code': 9008711116783824, 'p': 3}
-
id: 512152
{'charpoly_factorization': [[[1024, 0, 1152, 0, 305, 0, 30, 0, 1], 1]], 'hecke_orbit_code': 9008711116783824, 'p': 5}
-
id: 512153
{'charpoly_factorization': [[[1024, -2304, 2016, -648, -31, 54, 3, -6, 1], 1]], 'hecke_orbit_code': 9008711116783824, 'p': 7}
-
id: 512154
{'charpoly_factorization': [[[1024, 2304, 2016, 648, -31, -54, 3, 6, 1], 1]], 'hecke_orbit_code': 9008711116783824, 'p': 11}
-
id: 512155
{'charpoly_factorization': [[[28561, -13182, -507, 858, -172, 66, -3, -6, 1], 1]], 'hecke_orbit_code': 9008711116783824, 'p': 13}
-
id: 512156
{'charpoly_factorization': [[[9409, 0, 3298, 0, 1059, 0, 34, 0, 1], 1]], 'hecke_orbit_code': 9008711116783824, 'p': 17}
-
id: 512157
{'charpoly_factorization': [[[80656, -129504, 84364, -24168, 2181, 318, -41, -6, 1], 1]], 'hecke_orbit_code': 9008711116783824, 'p': 19}
-
id: 512158
{'charpoly_factorization': [[[16, -32, 92, 40, 61, 2, 11, 2, 1], 1]], 'hecke_orbit_code': 9008711116783824, 'p': 23}
-
id: 512159
{'charpoly_factorization': [[[3721, -10736, 32318, 2896, 1831, 176, 86, 8, 1], 1]], 'hecke_orbit_code': 9008711116783824, 'p': 29}
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id: 512160
{'charpoly_factorization': [[[256, 0, 15360, 0, 8672, 0, 192, 0, 1], 1]], 'hecke_orbit_code': 9008711116783824, 'p': 31}
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id: 512161
{'charpoly_factorization': [[[89401, 100464, 33446, -4704, -2193, 336, 206, 24, 1], 1]], 'hecke_orbit_code': 9008711116783824, 'p': 37}
-
id: 512162
{'charpoly_factorization': [[[169, 78, -1, -6, 1], 2]], 'hecke_orbit_code': 9008711116783824, 'p': 41}
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id: 512163
{'charpoly_factorization': [[[692224, -79872, 64960, -3552, 4233, -210, 103, 6, 1], 1]], 'hecke_orbit_code': 9008711116783824, 'p': 43}
-
id: 512164
{'charpoly_factorization': [[[135424, 0, 76800, 0, 9440, 0, 192, 0, 1], 1]], 'hecke_orbit_code': 9008711116783824, 'p': 47}
-
id: 512165
{'charpoly_factorization': [[[-1724, 844, -79, -10, 1], 2]], 'hecke_orbit_code': 9008711116783824, 'p': 53}
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id: 512166
{'charpoly_factorization': [[[43264, -104832, 71152, 32760, 993, -1170, 43, 18, 1], 1]], 'hecke_orbit_code': 9008711116783824, 'p': 59}
-
id: 512167
{'charpoly_factorization': [[[896809, 594716, 305366, 66608, 12295, 880, 110, 4, 1], 1]], 'hecke_orbit_code': 9008711116783824, 'p': 61}
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id: 512168
{'charpoly_factorization': [[[55696, 22656, -31620, -14112, 23189, -6174, 735, -42, 1], 1]], 'hecke_orbit_code': 9008711116783824, 'p': 67}
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id: 512169
{'charpoly_factorization': [[[1430416, 1722240, 324028, -442080, 121365, -16578, 1279, -54, 1], 1]], 'hecke_orbit_code': 9008711116783824, 'p': 71}
-
id: 512170
{'charpoly_factorization': [[[20736, 0, 199584, 0, 11817, 0, 198, 0, 1], 1]], 'hecke_orbit_code': 9008711116783824, 'p': 73}
-
id: 512171
{'charpoly_factorization': [[[3328, -896, -160, 8, 1], 2]], 'hecke_orbit_code': 9008711116783824, 'p': 79}
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id: 512172
{'charpoly_factorization': [[[65536, 0, 63488, 0, 8976, 0, 248, 0, 1], 1]], 'hecke_orbit_code': 9008711116783824, 'p': 83}
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id: 512173
{'charpoly_factorization': [[[186267904, -46184832, -72528, 964440, 47273, -5130, -177, 18, 1], 1]], 'hecke_orbit_code': 9008711116783824, 'p': 89}
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id: 512174
{'charpoly_factorization': [[[55830784, -30306432, 6178608, -377208, -24439, 2790, 207, -30, 1], 1]], 'hecke_orbit_code': 9008711116783824, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 23, 'hecke_orbit': 3, 'label': '208.2.w.c', 'level': 208, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 31971079
{'hecke_orbit_code': 9008711116783824, 'n': 1, 'trace_an': 8}
-
id: 31971080
{'hecke_orbit_code': 9008711116783824, 'n': 2, 'trace_an': 0}
-
id: 31971081
{'hecke_orbit_code': 9008711116783824, 'n': 3, 'trace_an': -2}
-
id: 31971082
{'hecke_orbit_code': 9008711116783824, 'n': 4, 'trace_an': 0}
-
id: 31971083
{'hecke_orbit_code': 9008711116783824, 'n': 5, 'trace_an': 0}
-
id: 31971084
{'hecke_orbit_code': 9008711116783824, 'n': 6, 'trace_an': 0}
-
id: 31971085
{'hecke_orbit_code': 9008711116783824, 'n': 7, 'trace_an': 6}
-
id: 31971086
{'hecke_orbit_code': 9008711116783824, 'n': 8, 'trace_an': 0}
-
id: 31971087
{'hecke_orbit_code': 9008711116783824, 'n': 9, 'trace_an': -6}
-
id: 31971088
{'hecke_orbit_code': 9008711116783824, 'n': 10, 'trace_an': 0}
-
id: 31971089
{'hecke_orbit_code': 9008711116783824, 'n': 11, 'trace_an': -6}
-
id: 31971090
{'hecke_orbit_code': 9008711116783824, 'n': 12, 'trace_an': 0}
-
id: 31971091
{'hecke_orbit_code': 9008711116783824, 'n': 13, 'trace_an': 6}
-
id: 31971092
{'hecke_orbit_code': 9008711116783824, 'n': 14, 'trace_an': 0}
-
id: 31971093
{'hecke_orbit_code': 9008711116783824, 'n': 15, 'trace_an': 0}
-
id: 31971094
{'hecke_orbit_code': 9008711116783824, 'n': 16, 'trace_an': 0}
-
id: 31971095
{'hecke_orbit_code': 9008711116783824, 'n': 17, 'trace_an': 0}
-
id: 31971096
{'hecke_orbit_code': 9008711116783824, 'n': 18, 'trace_an': 0}
-
id: 31971097
{'hecke_orbit_code': 9008711116783824, 'n': 19, 'trace_an': 6}
-
id: 31971098
{'hecke_orbit_code': 9008711116783824, 'n': 20, 'trace_an': 0}
-
id: 31971099
{'hecke_orbit_code': 9008711116783824, 'n': 21, 'trace_an': 0}
-
id: 31971100
{'hecke_orbit_code': 9008711116783824, 'n': 22, 'trace_an': 0}
-
id: 31971101
{'hecke_orbit_code': 9008711116783824, 'n': 23, 'trace_an': -2}
-
id: 31971102
{'hecke_orbit_code': 9008711116783824, 'n': 24, 'trace_an': 0}
-
id: 31971103
{'hecke_orbit_code': 9008711116783824, 'n': 25, 'trace_an': -20}
-
id: 31971104
{'hecke_orbit_code': 9008711116783824, 'n': 26, 'trace_an': 0}
-
id: 31971105
{'hecke_orbit_code': 9008711116783824, 'n': 27, 'trace_an': 28}
-
id: 31971106
{'hecke_orbit_code': 9008711116783824, 'n': 28, 'trace_an': 0}
-
id: 31971107
{'hecke_orbit_code': 9008711116783824, 'n': 29, 'trace_an': -8}
-
id: 31971108
{'hecke_orbit_code': 9008711116783824, 'n': 30, 'trace_an': 0}
-
id: 31971109
{'hecke_orbit_code': 9008711116783824, 'n': 31, 'trace_an': 0}
-
id: 31971110
{'hecke_orbit_code': 9008711116783824, 'n': 32, 'trace_an': 0}
-
id: 31971111
{'hecke_orbit_code': 9008711116783824, 'n': 33, 'trace_an': 6}
-
id: 31971112
{'hecke_orbit_code': 9008711116783824, 'n': 34, 'trace_an': 0}
-
id: 31971113
{'hecke_orbit_code': 9008711116783824, 'n': 35, 'trace_an': -16}
-
id: 31971114
{'hecke_orbit_code': 9008711116783824, 'n': 36, 'trace_an': 0}
-
id: 31971115
{'hecke_orbit_code': 9008711116783824, 'n': 37, 'trace_an': -24}
-
id: 31971116
{'hecke_orbit_code': 9008711116783824, 'n': 38, 'trace_an': 0}
-
id: 31971117
{'hecke_orbit_code': 9008711116783824, 'n': 39, 'trace_an': 14}
-
id: 31971118
{'hecke_orbit_code': 9008711116783824, 'n': 40, 'trace_an': 0}
-
id: 31971119
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{'hecke_orbit_code': 9008711116783824, 'n': 887, 'trace_an': 6}
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id: 31971322
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id: 31971323
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id: 31971324
{'hecke_orbit_code': 9008711116783824, 'n': 919, 'trace_an': 10}
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id: 31971325
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id: 31971326
{'hecke_orbit_code': 9008711116783824, 'n': 937, 'trace_an': 164}
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id: 31971327
{'hecke_orbit_code': 9008711116783824, 'n': 941, 'trace_an': 0}
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id: 31971328
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id: 31971329
{'hecke_orbit_code': 9008711116783824, 'n': 953, 'trace_an': 30}
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id: 31971330
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id: 31971331
{'hecke_orbit_code': 9008711116783824, 'n': 967, 'trace_an': 0}
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id: 31971332
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id: 31971333
{'hecke_orbit_code': 9008711116783824, 'n': 977, 'trace_an': 180}
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id: 31971334
{'hecke_orbit_code': 9008711116783824, 'n': 983, 'trace_an': 0}
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id: 31971335
{'hecke_orbit_code': 9008711116783824, 'n': 991, 'trace_an': -26}
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id: 31971336
{'hecke_orbit_code': 9008711116783824, 'n': 997, 'trace_an': -28}