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mf_newforms • Show schema
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{'Nk2': 7056, 'analytic_conductor': 14.08561091655386, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 3, 'char_parity': 1, 'char_values': [1764, 3, [883, 785, 1081], [3, 1, 2]], 'cm_discs': [], 'conrey_index': 949, 'dim': 6, 'field_disc': -309123, 'field_disc_factorization': [[-1, 1], [3, 3], [107, 2]], 'field_poly': [3, -12, 19, -15, 10, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [-1, -4, 1, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518754084652772, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 63, 7, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1764.2.l.f', 'level': 1764, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '252.2.j.a', 'nf_label': '6.0.309123.1', 'prim_orbit_index': 7, 'qexp_display': 'q+(-\\beta _{3}+\\beta _{4}+\\beta _{5})q^{3}+(\\beta _{2}+\\beta _{3})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1764.2.l', 'trace_display': [0, 2, -2, 0], 'trace_hash': 1418013774865987250, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.880', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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'dual_conrey_index': 949, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 5, 'embedding_root_imag': 2.051951478475737, 'embedding_root_real': 0.5, 'hecke_orbit': 6, 'hecke_orbit_code': 22518754084652772, 'label': '1764.2.l.f.961.2', 'level': 1764, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 7056, 'analytic_conductor': 14.08561091655386, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 3, 'char_parity': 1, 'char_values': [1764, 3, [883, 785, 1081], [3, 1, 2]], 'conrey_index': 949, 'cusp_dim': 624, 'dim': 80, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 755947800292, 'hecke_orbit_dims': [2, 2, 2, 6, 6, 6, 6, 12, 14, 24], 'label': '1764.2.l', 'level': 1764, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 720, 'mf_new_dim': 80, 'num_forms': 10, 'prim_orbit_index': 7, 'relative_dim': 40, 'sturm_bound': 672, 'trace_bound': 3, 'trace_display': [0, 0, -8, 0], 'traces': [80, 0, 0, 0, -8, 0, 0, 0, -6, 0, -8, 0, 1, 0, -17, 0, 5, 0, -2, 0, 0, 0, 22, 0, 80, 0, -9, 0, -6, 0, -2, 0, -5, 0, 0, 0, 1, 0, 41, 0, 24, 0, -2, 0, 7, 0, 6, 0, 0, 0, 5, 0, 22, 0, 12, 0, 15, 0, 7, 0, 13, 0, 0, 0, -11, 0, 7, 0, 43, 0, 38, 0, -14, 0, -1, 0, 0, 0, 7, 0, -58, 0, 26, 0, 12, 0, 5, 0, 21, 0, 0, 0, -11, 0, 54, 0, 1, 0, -23, 0, -32, 0, -38, 0, 0, 0, 11, 0, 16, 0, -75, 0, -47, 0, 0, 0, 53, 0, 0, 0, 56, 0, 29, 0, -120, 0, 52, 0, 3, 0, -56, 0, 0, 0, -33, 0, -40, 0, -8, 0, -17, 0, -15, 0, 24, 0, 0, 0, 10, 0, 10, 0, -28, 0, 56, 0, 16, 0, -60, 0, 0, 0, -8, 0, 51, 0, 34, 0, -9, 0, -56, 0, 43, 0, 0, 0, 13, 0, -24, 0, 16, 0, 60, 0, 32, 0, -9, 0, 0, 0, -92, 0, 22, 0, 162, 0, 118, 0, 25, 0, -14, 0, 0, 0, 21, 0, -59, 0, 94, 0, 19, 0, -41, 0, 38, 0, 0, 0, 21, 0, 60, 0, -11, 0, -55, 0, 12, 0, 46, 0, 0, 0, -22, 0, 30, 0, -67, 0, -54, 0, 22, 0, 75, 0, 0, 0, 74, 0, -110, 0, -144, 0, -72, 0, 49, 0, -120, 0, 0, 0, -183, 0, -220, 0, 3, 0, -154, 0, 64, 0, 7, 0, 0, 0, 190, 0, 22, 0, 2, 0, 26, 0, -38, 0, -62, 0, 0, 0, -13, 0, 86, 0, 111, 0, -39, 0, 37, 0, 75, 0, 0, 0, 2, 0, 63, 0, -32, 0, -20, 0, -32, 0, -14, 0, 0, 0, 35, 0, -21, 0, 141, 0, -16, 0, -8, 0, -65, 0, 0, 0, 4, 0, -199, 0, 79, 0, 7, 0, 92, 0, 78, 0, 0, 0, -110, 0, 120, 0, -17, 0, -73, 0, -120, 0, -36, 0, 0, 0, -63, 0, -24, 0, -226, 0, -96, 0, 22, 0, 108, 0, 0, 0, -86, 0, -16, 0, -222, 0, -14, 0, 17, 0, -118, 0, 0, 0, 44, 0, -326, 0, -12, 0, -81, 0, 6, 0, -71, 0, 0, 0, -66, 0, -154, 0, -101, 0, -106, 0, -17, 0, -118, 0, 0, 0, -30, 0, 145, 0, 105, 0, 4, 0, -99, 0, 79, 0, 0, 0, 238, 0, 82, 0, -44, 0, 20, 0, 31, 0, 58, 0, 0, 0, -95, 0, 42, 0, 231, 0, -126, 0, -39, 0, -38, 0, 0, 0, 46, 0, -56, 0, 130, 0, 70, 0, -102, 0, 94, 0, 0, 0, 219, 0, 12, 0, 1, 0, 10, 0, 86, 0, -46, 0, 0, 0, -74, 0, -14, 0, -129, 0, -48, 0, -84, 0, 212, 0, 0, 0, -92, 0, -208, 0, -156, 0, 162, 0, 100, 0, -126, 0, 0, 0, -167, 0, -238, 0, 9, 0, 28, 0, 48, 0, 55, 0, 0, 0, 240, 0, 62, 0, 25, 0, -135, 0, 87, 0, -117, 0, 0, 0, 55, 0, 79, 0, 145, 0, 91, 0, 41, 0, 11, 0, 0, 0, -172, 0, 54, 0, 50, 0, -145, 0, 23, 0, -69, 0, 0, 0, -133, 0, -5, 0, 156, 0, 90, 0, 61, 0, 102, 0, 0, 0, 3, 0, -227, 0, 47, 0, 80, 0, 61, 0, 60, 0, 0, 0, -110, 0, 151, 0, 85, 0, -47, 0, -142, 0, 244, 0, 0, 0, 40, 0, 43, 0, -261, 0, -45, 0, -2, 0, 154, 0, 0, 0, 80, 0, 23, 0, -362, 0, -110, 0, 24, 0, -216, 0, 0, 0, -193, 0, -226, 0, 19, 0, -270, 0, -87, 0, 3, 0, 0, 0, -46, 0, 174, 0, -108, 0, -29, 0, -74, 0, -147, 0, 0, 0, 33, 0, 301, 0, 63, 0, 4, 0, -205, 0, 78, 0, 0, 0, 187, 0, 235, 0, -30, 0, 77, 0, 114, 0, -62, 0, 0, 0, 35, 0, -57, 0, 190, 0, 250, 0, 17, 0, -42, 0, 0, 0, -113, 0, -223, 0, 159, 0, -159, 0, -192, 0, 18, 0, 0, 0, -176, 0, -29, 0, -2, 0, 363, 0, 16, 0, -56, 0, 0, 0, -64, 0, -71, 0, -104, 0, 188, 0, 96, 0, 104, 0, 0, 0, 130, 0, 126, 0, -164, 0, 28, 0, 32, 0, -214, 0, 0, 0, 70, 0, 244, 0, 16, 0, -122, 0, 94, 0, -113, 0, 0, 0, 488, 0, 48, 0, 74, 0, -138, 0, 61, 0, -120, 0, 0, 0, -28, 0, 264, 0, 114, 0, -72, 0, 126, 0, 128, 0, 0, 0, 282, 0, -26, 0, 52, 0, 201, 0, -121, 0, 134, 0, 0, 0, 131, 0, 13, 0, 257, 0, 48, 0, -50, 0, -111, 0, 0, 0, 21, 0, 109, 0, 65, 0, -64, 0, 190, 0, 95, 0, 0, 0, 405, 0, 130, 0, -23, 0, 327, 0, -126, 0, -278, 0, 0, 0, -251, 0, 6, 0, -226, 0, 18, 0, -190, 0, 102, 0, 0, 0, -146, 0, -8, 0, -216, 0, -104, 0, 23, 0, 54, 0, 0, 0, -144, 0, -54, 0, 18, 0, 228, 0, 3, 0, 108, 0, 0, 0, -538, 0, -272, 0, -47, 0, 68, 0, 30, 0, -141, 0, 0, 0, -44, 0, 360, 0, 63, 0, 139, 0, -107, 0, 96, 0, 0, 0, 140, 0, 412, 0, 34, 0, 405, 0, 145, 0, -72, 0, 0, 0, -226, 0, -76, 0, 204, 0, 326, 0, 48, 0, -68, 0, 0, 0, 0, 0, -262, 0, 185, 0, 85, 0, -43, 0, 81, 0, 0, 0, 88, 0, 170, 0, -24, 0, 33, 0, 144, 0, 276, 0, 0, 0, 149, 0, 79, 0, 27, 0, -40, 0, 166, 0, 189, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45329621
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 961, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518754084652772, 'target_is_minimal': False, 'target_label': '1764.2.l.f.961.2', 'target_level': 1764, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45329622
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 3313, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518754084656300, 'target_is_minimal': False, 'target_label': '5292.2.l.f.3313.3', 'target_level': 5292, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45329623
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 1177, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015017018328804, 'target_is_minimal': False, 'target_label': '1764.2.j.e.1177.2', 'target_level': 1764, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45329624
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 1537, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022147553593060, 'target_is_minimal': False, 'target_label': '1764.2.i.g.1537.3', 'target_level': 1764, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45329625
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 1537, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671481572, 'target_is_minimal': False, 'target_label': '1764.2.i.d.1537.1', 'target_level': 1764, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45329626
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 169, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 618508845308, 'target_is_minimal': True, 'target_label': '252.2.j.a.169.2', 'target_level': 252, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45329627
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 961, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015154457282276, 'target_is_minimal': False, 'target_label': '1764.2.l.e.961.2', 'target_level': 1764, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 45329628
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 373, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671481572, 'target_is_minimal': False, 'target_label': '1764.2.i.d.373.1', 'target_level': 1764, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45329629
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 1549, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298855596, 'target_is_minimal': False, 'target_label': '5292.2.i.e.1549.1', 'target_level': 5292, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45329630
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 3529, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511417390961836, 'target_is_minimal': False, 'target_label': '5292.2.j.d.3529.1', 'target_level': 5292, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45329631
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 505, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504218136216308, 'target_is_minimal': False, 'target_label': '756.2.j.b.505.3', 'target_level': 756, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45329632
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 2125, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298855596, 'target_is_minimal': False, 'target_label': '5292.2.i.e.2125.1', 'target_level': 5292, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45329633
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 2125, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518547926226092, 'target_is_minimal': False, 'target_label': '5292.2.i.f.2125.3', 'target_level': 5292, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 45329634
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 3313, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015154457285804, 'target_is_minimal': False, 'target_label': '5292.2.l.e.3313.1', 'target_level': 5292, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 45329635
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 673, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40533564910994416, 'target_is_minimal': False, 'target_label': '1008.2.r.j.673.2', 'target_level': 1008, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 45329636
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 949, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518754084652772, 'target_is_minimal': False, 'target_label': '1764.2.l.f.949.2', 'target_level': 1764, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '63.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45329637
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 253, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504218136216308, 'target_is_minimal': False, 'target_label': '756.2.j.b.253.3', 'target_level': 756, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '63.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45329638
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 373, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022147553593060, 'target_is_minimal': False, 'target_label': '1764.2.i.g.373.3', 'target_level': 1764, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '63.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 45329639
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 1765, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511417390961836, 'target_is_minimal': False, 'target_label': '5292.2.j.d.1765.1', 'target_level': 5292, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '63.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45329640
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 949, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015154457282276, 'target_is_minimal': False, 'target_label': '1764.2.l.e.949.2', 'target_level': 1764, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '63.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 45329641
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 361, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518754084656300, 'target_is_minimal': False, 'target_label': '5292.2.l.f.361.3', 'target_level': 5292, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '63.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 45329642
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 85, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 618508845308, 'target_is_minimal': True, 'target_label': '252.2.j.a.85.2', 'target_level': 252, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '63.40', 'twisting_conrey_index': 40, 'weight': 2}
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id: 45329643
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 1549, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518547926226092, 'target_is_minimal': False, 'target_label': '5292.2.i.f.1549.3', 'target_level': 5292, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '63.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 45329644
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425150172, 'target_is_minimal': False, 'target_label': '2268.2.a.h.1.1', 'target_level': 2268, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '63.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 45329645
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 589, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015017018328804, 'target_is_minimal': False, 'target_label': '1764.2.j.e.589.2', 'target_level': 1764, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '63.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 45329646
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 361, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015154457285804, 'target_is_minimal': False, 'target_label': '5292.2.l.e.361.1', 'target_level': 5292, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '63.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 45329647
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36028797052520668, 'target_is_minimal': False, 'target_label': '2268.2.a.i.1.3', 'target_level': 2268, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '63.61', 'twisting_conrey_index': 61, 'weight': 2}
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id: 45329648
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 2017, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40533564910996432, 'target_is_minimal': False, 'target_label': '3024.2.r.j.2017.3', 'target_level': 3024, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '84.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 45329649
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 211669182519976816, 'target_is_minimal': False, 'target_label': '9072.2.a.bv.1.1', 'target_level': 9072, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '252.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 45329650
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 337, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40533564910994416, 'target_is_minimal': False, 'target_label': '1008.2.r.j.337.2', 'target_level': 1008, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '252.103', 'twisting_conrey_index': 103, 'weight': 2}
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id: 45329651
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 1009, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40533564910996432, 'target_is_minimal': False, 'target_label': '3024.2.r.j.1009.3', 'target_level': 3024, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '252.131', 'twisting_conrey_index': 131, 'weight': 2}
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id: 45329652
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518754084652772, 'source_is_minimal': False, 'source_label': '1764.2.l.f.961.2', 'source_level': 1764, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 225179981402088304, 'target_is_minimal': False, 'target_label': '9072.2.a.by.1.3', 'target_level': 9072, 'twist_class_label': '252.2.j.a.85.2', 'twist_class_level': 252, 'twisting_char_label': '252.187', 'twisting_conrey_index': 187, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2189425
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 22518754084652772, 'p': 2}
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id: 2189426
{'charpoly_factorization': [[[27, -18, 12, -3, 4, -2, 1], 1]], 'hecke_orbit_code': 22518754084652772, 'p': 3}
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id: 2189427
{'charpoly_factorization': [[[-1, -4, 1, 1], 2]], 'hecke_orbit_code': 22518754084652772, 'p': 5}
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id: 2189428
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 22518754084652772, 'p': 7}
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id: 2189429
{'charpoly_factorization': [[[59, -25, -2, 1], 2]], 'hecke_orbit_code': 22518754084652772, 'p': 11}
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id: 2189430
{'charpoly_factorization': [[[729, -891, 1170, 45, 42, -3, 1], 1]], 'hecke_orbit_code': 22518754084652772, 'p': 13}
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id: 2189431
{'charpoly_factorization': [[[2209, -893, 455, -56, 23, -2, 1], 1]], 'hecke_orbit_code': 22518754084652772, 'p': 17}
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id: 2189432
{'charpoly_factorization': [[[6241, -1896, 813, -86, 33, -3, 1], 1]], 'hecke_orbit_code': 22518754084652772, 'p': 19}
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id: 2189433
{'charpoly_factorization': [[[-31, 53, -14, 1], 2]], 'hecke_orbit_code': 22518754084652772, 'p': 23}
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id: 2189434
{'charpoly_factorization': [[[11881, 4360, 1709, 178, 41, 1, 1], 1]], 'hecke_orbit_code': 22518754084652772, 'p': 29}
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id: 2189435
{'charpoly_factorization': [[[729, 972, 1377, -54, 45, 3, 1], 1]], 'hecke_orbit_code': 22518754084652772, 'p': 31}
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id: 2189436
{'charpoly_factorization': [[[529, -690, 969, 44, 39, -3, 1], 1]], 'hecke_orbit_code': 22518754084652772, 'p': 37}
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id: 2189437
{'charpoly_factorization': [[[81, -297, 1089, -18, 33, 0, 1], 1]], 'hecke_orbit_code': 22518754084652772, 'p': 41}
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id: 2189438
{'charpoly_factorization': [[[78961, -26976, 8373, -850, 105, 3, 1], 1]], 'hecke_orbit_code': 22518754084652772, 'p': 43}
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id: 2189439
{'charpoly_factorization': [[[42849, -24840, 10053, -2106, 321, -21, 1], 1]], 'hecke_orbit_code': 22518754084652772, 'p': 47}
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id: 2189440
{'charpoly_factorization': [[[81, -27, 63, 36, 33, 6, 1], 1]], 'hecke_orbit_code': 22518754084652772, 'p': 53}
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id: 2189441
{'charpoly_factorization': [[[978121, -304612, 64205, -7570, 653, -31, 1], 1]], 'hecke_orbit_code': 22518754084652772, 'p': 59}
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id: 2189442
{'charpoly_factorization': [[[1185921, -212355, 44559, -1008, 231, -6, 1], 1]], 'hecke_orbit_code': 22518754084652772, 'p': 61}
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id: 2189443
{'charpoly_factorization': [[[49, -105, 183, -104, 51, 6, 1], 1]], 'hecke_orbit_code': 22518754084652772, 'p': 67}
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id: 2189444
{'charpoly_factorization': [[[1907, -94, -17, 1], 2]], 'hecke_orbit_code': 22518754084652772, 'p': 71}
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id: 2189445
{'charpoly_factorization': [[[6241, 1896, 813, 86, 33, 3, 1], 1]], 'hecke_orbit_code': 22518754084652772, 'p': 73}
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id: 2189446
{'charpoly_factorization': [[[136161, -15498, 5085, -360, 123, -9, 1], 1]], 'hecke_orbit_code': 22518754084652772, 'p': 79}
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id: 2189447
{'charpoly_factorization': [[[16129, -14351, 10229, -2006, 287, -20, 1], 1]], 'hecke_orbit_code': 22518754084652772, 'p': 83}
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id: 2189448
{'charpoly_factorization': [[[505521, -36261, 11133, -810, 195, -12, 1], 1]], 'hecke_orbit_code': 22518754084652772, 'p': 89}
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id: 2189449
{'charpoly_factorization': [[[5329, 10512, 21393, -1150, 225, 9, 1], 1]], 'hecke_orbit_code': 22518754084652772, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 12, 'hecke_orbit': 6, 'label': '1764.2.l.f', 'level': 1764, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 44718859
{'hecke_orbit_code': 22518754084652772, 'n': 1, 'trace_an': 6}
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id: 44718860
{'hecke_orbit_code': 22518754084652772, 'n': 2, 'trace_an': 0}
-
id: 44718861
{'hecke_orbit_code': 22518754084652772, 'n': 3, 'trace_an': 2}
-
id: 44718862
{'hecke_orbit_code': 22518754084652772, 'n': 4, 'trace_an': 0}
-
id: 44718863
{'hecke_orbit_code': 22518754084652772, 'n': 5, 'trace_an': -2}
-
id: 44718864
{'hecke_orbit_code': 22518754084652772, 'n': 6, 'trace_an': 0}
-
id: 44718865
{'hecke_orbit_code': 22518754084652772, 'n': 7, 'trace_an': 0}
-
id: 44718866
{'hecke_orbit_code': 22518754084652772, 'n': 8, 'trace_an': 0}
-
id: 44718867
{'hecke_orbit_code': 22518754084652772, 'n': 9, 'trace_an': -4}
-
id: 44718868
{'hecke_orbit_code': 22518754084652772, 'n': 10, 'trace_an': 0}
-
id: 44718869
{'hecke_orbit_code': 22518754084652772, 'n': 11, 'trace_an': 4}
-
id: 44718870
{'hecke_orbit_code': 22518754084652772, 'n': 12, 'trace_an': 0}
-
id: 44718871
{'hecke_orbit_code': 22518754084652772, 'n': 13, 'trace_an': 3}
-
id: 44718872
{'hecke_orbit_code': 22518754084652772, 'n': 14, 'trace_an': 0}
-
id: 44718873
{'hecke_orbit_code': 22518754084652772, 'n': 15, 'trace_an': 1}
-
id: 44718874
{'hecke_orbit_code': 22518754084652772, 'n': 16, 'trace_an': 0}
-
id: 44718875
{'hecke_orbit_code': 22518754084652772, 'n': 17, 'trace_an': 2}
-
id: 44718876
{'hecke_orbit_code': 22518754084652772, 'n': 18, 'trace_an': 0}
-
id: 44718877
{'hecke_orbit_code': 22518754084652772, 'n': 19, 'trace_an': 3}
-
id: 44718878
{'hecke_orbit_code': 22518754084652772, 'n': 20, 'trace_an': 0}
-
id: 44718879
{'hecke_orbit_code': 22518754084652772, 'n': 21, 'trace_an': 0}
-
id: 44718880
{'hecke_orbit_code': 22518754084652772, 'n': 22, 'trace_an': 0}
-
id: 44718881
{'hecke_orbit_code': 22518754084652772, 'n': 23, 'trace_an': 28}
-
id: 44718882
{'hecke_orbit_code': 22518754084652772, 'n': 24, 'trace_an': 0}
-
id: 44718883
{'hecke_orbit_code': 22518754084652772, 'n': 25, 'trace_an': -12}
-
id: 44718884
{'hecke_orbit_code': 22518754084652772, 'n': 26, 'trace_an': 0}
-
id: 44718885
{'hecke_orbit_code': 22518754084652772, 'n': 27, 'trace_an': -7}
-
id: 44718886
{'hecke_orbit_code': 22518754084652772, 'n': 28, 'trace_an': 0}
-
id: 44718887
{'hecke_orbit_code': 22518754084652772, 'n': 29, 'trace_an': -1}
-
id: 44718888
{'hecke_orbit_code': 22518754084652772, 'n': 30, 'trace_an': 0}
-
id: 44718889
{'hecke_orbit_code': 22518754084652772, 'n': 31, 'trace_an': -3}
-
id: 44718890
{'hecke_orbit_code': 22518754084652772, 'n': 32, 'trace_an': 0}
-
id: 44718891
{'hecke_orbit_code': 22518754084652772, 'n': 33, 'trace_an': 25}
-
id: 44718892
{'hecke_orbit_code': 22518754084652772, 'n': 34, 'trace_an': 0}
-
id: 44718893
{'hecke_orbit_code': 22518754084652772, 'n': 35, 'trace_an': 0}
-
id: 44718894
{'hecke_orbit_code': 22518754084652772, 'n': 36, 'trace_an': 0}
-
id: 44718895
{'hecke_orbit_code': 22518754084652772, 'n': 37, 'trace_an': 3}
-
id: 44718896
{'hecke_orbit_code': 22518754084652772, 'n': 38, 'trace_an': 0}
-
id: 44718897
{'hecke_orbit_code': 22518754084652772, 'n': 39, 'trace_an': 18}
-
id: 44718898
{'hecke_orbit_code': 22518754084652772, 'n': 40, 'trace_an': 0}
-
id: 44718899
{'hecke_orbit_code': 22518754084652772, 'n': 41, 'trace_an': 0}
-
id: 44718900
{'hecke_orbit_code': 22518754084652772, 'n': 42, 'trace_an': 0}
-
id: 44718901
{'hecke_orbit_code': 22518754084652772, 'n': 43, 'trace_an': -3}
-
id: 44718902
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{'hecke_orbit_code': 22518754084652772, 'n': 877, 'trace_an': 132}
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id: 44719099
{'hecke_orbit_code': 22518754084652772, 'n': 881, 'trace_an': 150}
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id: 44719100
{'hecke_orbit_code': 22518754084652772, 'n': 883, 'trace_an': -78}
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id: 44719101
{'hecke_orbit_code': 22518754084652772, 'n': 887, 'trace_an': 12}
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id: 44719102
{'hecke_orbit_code': 22518754084652772, 'n': 907, 'trace_an': -102}
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id: 44719103
{'hecke_orbit_code': 22518754084652772, 'n': 911, 'trace_an': -15}
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id: 44719104
{'hecke_orbit_code': 22518754084652772, 'n': 919, 'trace_an': -84}
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id: 44719105
{'hecke_orbit_code': 22518754084652772, 'n': 929, 'trace_an': 57}
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id: 44719106
{'hecke_orbit_code': 22518754084652772, 'n': 937, 'trace_an': 108}
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id: 44719107
{'hecke_orbit_code': 22518754084652772, 'n': 941, 'trace_an': 49}
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id: 44719108
{'hecke_orbit_code': 22518754084652772, 'n': 947, 'trace_an': -106}
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id: 44719109
{'hecke_orbit_code': 22518754084652772, 'n': 953, 'trace_an': -44}
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id: 44719110
{'hecke_orbit_code': 22518754084652772, 'n': 961, 'trace_an': 12}
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id: 44719111
{'hecke_orbit_code': 22518754084652772, 'n': 967, 'trace_an': 48}
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id: 44719112
{'hecke_orbit_code': 22518754084652772, 'n': 971, 'trace_an': -36}
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id: 44719113
{'hecke_orbit_code': 22518754084652772, 'n': 977, 'trace_an': -15}
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id: 44719114
{'hecke_orbit_code': 22518754084652772, 'n': 983, 'trace_an': -108}
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id: 44719115
{'hecke_orbit_code': 22518754084652772, 'n': 991, 'trace_an': 75}
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id: 44719116
{'hecke_orbit_code': 22518754084652772, 'n': 997, 'trace_an': 252}