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mf_newforms • Show schema
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{'Nk2': 4096, 'analytic_conductor': 8.176681166979112, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1024, 2, [1023, 5], [2, 1]], 'cm_discs': [-4], 'conrey_index': 513, 'dim': 2, 'field_disc': -8, 'field_disc_factorization': [[-1, 1], [2, 3]], 'field_poly': [2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [0, 1]], [5, [18, 0, 1]], [7, [0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510867635143680, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, -4], [1, 1, 8, 2, 1, 2, 0], [1, 1, 8, 4, -1, 2, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '1024.2.b.d', 'level': 1024, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'minimal_twist': '512.2.e.c', 'nf_label': '2.0.8.1', 'prim_orbit_index': 2, 'qexp_display': 'q-3\\beta q^{5}+3q^{9}+\\beta q^{13}+8q^{17}-13q^{25}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.1.d2', 'self_twist_discs': [-4], 'self_twist_type': 1, 'space_label': '1024.2.b', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1965018207358623299, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.868', '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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{'an_normalized': [[1.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -1.8973665961010275], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.3922322702763681], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.9402850002906638, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-2.6, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -1.8382900600361158], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -1.1624763874381927], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.2493900951088486, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -1.8973665961010275], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.9712858623572642], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -0.18107149208503706], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.7442084075352507, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.7022468831767834, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -3.681431946467378], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.05999788000636, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.8122769321068952, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0]], 'angles': [None, 0.0, -0.30120819117478337, -0.25, 0.0, 0.03141647909450059, -0.03898956518868466, 0.0, -0.25, -0.3144405292045783, -0.25, -0.4012842283556267, -0.35738835626136134, 0.0, -0.25, 0.08070723360854763, 0.0, -0.48557103081184777, 0.0, -0.25, -0.3071001256099541, -0.25, 0.0, -0.16109615775532363, -0.1834375306261717, 0.1408627587152768, -0.25, 0.0, 0.07861321046112883, -0.1355946523174732, -0.25, 0.0, -0.30550862922749994, 0.0, 0.027799943892892604, -0.25, -0.2955265009278744, 0.0, -0.25, -0.3507051048262355, 0.0, 0.24163114582171294, -0.25, -0.4159543412124187, 0.11365106450006979, -0.25, 0.0, -0.25, 0.0, 0.10390376842057931, -0.0877986173506914, -0.25, -0.20852384117184014, 0.0, -0.2400657378472296, -0.25, 0.22935720008007637, -0.25, 0.03406881591081223, -0.2982056239896148, 0.0, -0.3563615644228974, 0.0, -0.25, -0.1313628056739959, 0.23099229607602517, 0.0, -0.16845068460335758, 0.0, -0.3318774694534604, -0.42999687876256926, -0.25, -0.25, -0.434029181964259, 0.0, -0.25, 0.20962651366516633, -0.3263178656285476, -0.007951125628088187, -0.4763034288612552, 0.0, 0.2445140721919945, -0.25, -0.3478266471338686, -0.25, 0.0, -0.05358346171996871, -0.27995638296545167, -0.45210705722516675, -0.25, 0.0, -0.25, -0.25, 0.0, 0.0, -0.25, -0.41056740573690764, -0.4199700173806304, 0.0, 0.19573151406075448], 'char_orbit_index': 2, 'conrey_index': 513, 'dual_conrey_index': 513, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 1.4142135623730951, 'embedding_root_real': 0.0, 'hecke_orbit': 4, 'hecke_orbit_code': 13510867635143680, 'label': '1024.2.b.d.513.1', 'level': 1024, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 4096, 'analytic_conductor': 8.176681166979112, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1024, 2, [1023, 5], [2, 1]], 'conrey_index': 513, 'cusp_dim': 104, 'dim': 28, 'eis_dim': 48, 'eis_new_dim': 8, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 68753032192, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 8, 8], 'label': '1024.2.b', 'level': 1024, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'mf_dim': 152, 'mf_new_dim': 36, 'num_forms': 8, 'prim_orbit_index': 2, 'relative_dim': 28, 'sturm_bound': 256, 'trace_bound': 33, 'trace_display': [0, 0, 0, 0], 'traces': [28, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 172, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -512, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 436, 0, 0, 0, 0, 0, 0, 0, 248, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 488, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 280, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, -392, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, -280, 0, 0, 0, 0, 0, 0, 0, -392, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43014548
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 513, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510867635143680, 'target_is_minimal': False, 'target_label': '1024.2.b.d.513.1', 'target_level': 1024, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43014549
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 513, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510867635143680, 'target_is_minimal': False, 'target_label': '1024.2.b.d.513.1', 'target_level': 1024, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43014550
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 513, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510867635143680, 'target_is_minimal': False, 'target_label': '1024.2.b.d.513.2', 'target_level': 1024, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43014551
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 513, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510867635143680, 'target_is_minimal': False, 'target_label': '1024.2.b.d.513.2', 'target_level': 1024, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43014552
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666944, 'target_is_minimal': False, 'target_label': '1024.2.a.d.1.1', 'target_level': 1024, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43014553
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798915666944, 'target_is_minimal': False, 'target_label': '1024.2.a.d.1.2', 'target_level': 1024, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43014554
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798915666944, 'target_is_minimal': False, 'target_label': '1024.2.a.d.1.2', 'target_level': 1024, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43014555
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666944, 'target_is_minimal': False, 'target_label': '1024.2.a.d.1.1', 'target_level': 1024, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 43014556
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 385, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518273048314368, 'target_is_minimal': True, 'target_label': '512.2.e.f.385.1', 'target_level': 512, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '32.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43014557
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518273048314368, 'target_is_minimal': True, 'target_label': '512.2.e.f.129.1', 'target_level': 512, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '32.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43014558
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202880, 'target_is_minimal': True, 'target_label': '512.2.e.c.129.1', 'target_level': 512, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '32.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43014559
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 385, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202880, 'target_is_minimal': True, 'target_label': '512.2.e.c.385.1', 'target_level': 512, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '32.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 43014560
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 385, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202880, 'target_is_minimal': True, 'target_label': '512.2.e.c.385.1', 'target_level': 512, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '32.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 43014561
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202880, 'target_is_minimal': True, 'target_label': '512.2.e.c.129.1', 'target_level': 512, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '32.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 43014562
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518273048314368, 'target_is_minimal': True, 'target_label': '512.2.e.f.129.1', 'target_level': 512, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '32.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 43014563
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 385, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518273048314368, 'target_is_minimal': True, 'target_label': '512.2.e.f.385.1', 'target_level': 512, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '32.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 43014564
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797786624, 'target_is_minimal': False, 'target_label': '9216.2.a.g.1.1', 'target_level': 9216, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '48.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43014565
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797786624, 'target_is_minimal': False, 'target_label': '9216.2.a.g.1.1', 'target_level': 9216, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '48.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43014566
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021597797786624, 'target_is_minimal': False, 'target_label': '9216.2.a.g.1.2', 'target_level': 9216, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '48.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 43014567
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021597797786624, 'target_is_minimal': False, 'target_label': '9216.2.a.g.1.2', 'target_level': 9216, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '48.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 43014568
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 1153, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855696896, 'target_is_minimal': False, 'target_label': '4608.2.k.b.1153.1', 'target_level': 4608, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '96.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43014569
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 1153, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079879030477312, 'target_is_minimal': False, 'target_label': '4608.2.k.w.1153.1', 'target_level': 4608, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '96.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43014570
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 3457, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855696896, 'target_is_minimal': False, 'target_label': '4608.2.k.b.3457.1', 'target_level': 4608, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '96.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 43014571
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 3457, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855696896, 'target_is_minimal': False, 'target_label': '4608.2.k.b.3457.1', 'target_level': 4608, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '96.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 43014572
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 1153, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079879030477312, 'target_is_minimal': False, 'target_label': '4608.2.k.w.1153.1', 'target_level': 4608, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '96.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 43014573
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 1153, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855696896, 'target_is_minimal': False, 'target_label': '4608.2.k.b.1153.1', 'target_level': 4608, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '96.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 43014574
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 3457, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079879030477312, 'target_is_minimal': False, 'target_label': '4608.2.k.w.3457.1', 'target_level': 4608, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '96.77', 'twisting_conrey_index': 77, 'weight': 2}
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id: 43014575
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 513, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143680, 'source_is_minimal': False, 'source_label': '1024.2.b.d.513.1', 'source_level': 1024, 'target_conrey_index': 3457, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079879030477312, 'target_is_minimal': False, 'target_label': '4608.2.k.w.3457.1', 'target_level': 4608, 'twist_class_label': '512.2.e.c.129.1', 'twist_class_level': 512, 'twisting_char_label': '96.83', 'twisting_conrey_index': 83, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1608050
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867635143680, 'p': 2}
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id: 1608051
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867635143680, 'p': 3}
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id: 1608052
{'charpoly_factorization': [[[18, 0, 1], 1]], 'hecke_orbit_code': 13510867635143680, 'p': 5}
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id: 1608053
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867635143680, 'p': 7}
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id: 1608054
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867635143680, 'p': 11}
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id: 1608055
{'charpoly_factorization': [[[2, 0, 1], 1]], 'hecke_orbit_code': 13510867635143680, 'p': 13}
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id: 1608056
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 13510867635143680, 'p': 17}
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id: 1608057
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867635143680, 'p': 19}
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id: 1608058
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867635143680, 'p': 23}
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id: 1608059
{'charpoly_factorization': [[[98, 0, 1], 1]], 'hecke_orbit_code': 13510867635143680, 'p': 29}
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id: 1608060
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867635143680, 'p': 31}
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id: 1608061
{'charpoly_factorization': [[[50, 0, 1], 1]], 'hecke_orbit_code': 13510867635143680, 'p': 37}
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id: 1608062
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 13510867635143680, 'p': 41}
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id: 1608063
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867635143680, 'p': 43}
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id: 1608064
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867635143680, 'p': 47}
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id: 1608065
{'charpoly_factorization': [[[50, 0, 1], 1]], 'hecke_orbit_code': 13510867635143680, 'p': 53}
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id: 1608066
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867635143680, 'p': 59}
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id: 1608067
{'charpoly_factorization': [[[2, 0, 1], 1]], 'hecke_orbit_code': 13510867635143680, 'p': 61}
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id: 1608068
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867635143680, 'p': 67}
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id: 1608069
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867635143680, 'p': 71}
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id: 1608070
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 13510867635143680, 'p': 73}
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id: 1608071
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867635143680, 'p': 79}
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id: 1608072
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867635143680, 'p': 83}
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id: 1608073
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 13510867635143680, 'p': 89}
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id: 1608074
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 13510867635143680, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 4, 'label': '1024.2.b.d', 'level': 1024, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 35823019
{'hecke_orbit_code': 13510867635143680, 'n': 1, 'trace_an': 2}
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id: 35823020
{'hecke_orbit_code': 13510867635143680, 'n': 2, 'trace_an': 0}
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id: 35823021
{'hecke_orbit_code': 13510867635143680, 'n': 3, 'trace_an': 0}
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id: 35823022
{'hecke_orbit_code': 13510867635143680, 'n': 4, 'trace_an': 0}
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id: 35823023
{'hecke_orbit_code': 13510867635143680, 'n': 5, 'trace_an': 0}
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id: 35823024
{'hecke_orbit_code': 13510867635143680, 'n': 6, 'trace_an': 0}
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id: 35823025
{'hecke_orbit_code': 13510867635143680, 'n': 7, 'trace_an': 0}
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id: 35823026
{'hecke_orbit_code': 13510867635143680, 'n': 8, 'trace_an': 0}
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id: 35823027
{'hecke_orbit_code': 13510867635143680, 'n': 9, 'trace_an': 6}
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