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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, 'atkin_lehner_eigenvals': [[2, -1]], 'atkin_lehner_string': '-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1024, 1, [1023, 5], [1, 1]], 'cm_discs': [-4], 'conrey_index': 1, 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': -1, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [0, 1]], [5, [-18, 0, 1]], [7, [0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915666944, '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': True, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '1024.2.a.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': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+3\\beta q^{5}-3q^{9}+\\beta q^{13}+8q^{17}+13q^{25}+\\cdots', 'related_objects': ['ModularForm/GL2/ImaginaryQuadratic/2.0.8.1/16384.1/b', 'EllipticCurve/2.0.8.1/16384.1/b'], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.1.d1', 'self_twist_discs': [-4], 'self_twist_type': 1, 'space_label': '1024.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1292848509028706513, 'trace_moments': [{'__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], [1.8973665961010275, 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], [0.3922322702763681, 0.0], [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], [-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, 0.0], [1.2493900951088486, 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, 0.0], [-1.0, 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, 0.0], [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], [3.681431946467378, 0.0], [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, -0.25, -0.05120819117478336, -0.25, -0.25, -0.2185835209054994, -0.03898956518868466, -0.25, -0.25, -0.4355594707954217, -0.25, -0.15128422835562672, -0.14261164373863863, -0.25, -0.25, -0.33070723360854765, -0.25, -0.26442896918815223, -0.25, -0.25, -0.19289987439004594, -0.25, -0.25, -0.3389038422446764, -0.1834375306261717, -0.39086275871527676, -0.25, -0.25, -0.17138678953887118, -0.1355946523174732, -0.25, -0.25, -0.19449137077250006, -0.25, -0.2777999438928926, -0.25, -0.4544734990721256, -0.25, -0.25, -0.3992948951737645, -0.25, -0.49163114582171297, -0.25, -0.4159543412124187, -0.3636510645000698, -0.25, -0.25, -0.25, -0.25, -0.3539037684205793, -0.4122013826493086, -0.25, -0.20852384117184014, -0.25, -0.2400657378472296, -0.25, -0.02064279991992363, -0.25, -0.28406881591081223, -0.20179437601038522, -0.25, -0.1063615644228974, -0.25, -0.25, -0.36863719432600406, -0.019007703923974835, -0.25, -0.16845068460335758, -0.25, -0.4181225305465396, -0.42999687876256926, -0.25, -0.25, -0.184029181964259, -0.25, -0.25, -0.4596265136651663, -0.4236821343714524, -0.007951125628088187, -0.023696571138744814, -0.25, -0.4945140721919945, -0.25, -0.3478266471338686, -0.25, -0.25, -0.05358346171996871, -0.22004361703454833, -0.29789294277483325, -0.25, -0.25, -0.25, -0.25, -0.25, -0.25, -0.25, -0.33943259426309236, -0.08002998261936961, -0.25, -0.05426848593924551], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.4142135623730951, 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915666944, 'label': '1024.2.a.d.1.2', 'level': 1024, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [12, 16], 'ALdims_eis_new': [4, 4], 'ALdims_eis_old': [19, 20], 'ALdims_old': [37, 40], 'Nk2': 4096, 'analytic_conductor': 8.176681166979112, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1024, 1, [1023, 5], [1, 1]], 'conrey_index': 1, 'cusp_dim': 105, 'dim': 28, 'eis_dim': 47, 'eis_new_dim': 8, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 33555456, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 4, 4, 4], 'label': '1024.2.a', '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': 10, 'plus_dim': 12, 'prim_orbit_index': 1, 'relative_dim': 28, 'sturm_bound': 256, 'trace_bound': 17, '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: 42591261
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 42591262
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 42591263
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42591264
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42591265
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 42591266
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 42591267
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42591268
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 42591269
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 42591270
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 42591271
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 42591272
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 42591273
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '32.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42591274
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '32.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 42591275
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '32.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 42591276
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '32.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 42591277
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '32.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 42591278
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '32.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 42591279
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '32.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 42591280
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '32.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 42591281
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '96.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 42591282
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '96.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 42591283
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '96.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 42591284
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '96.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 42591285
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '96.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 42591286
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '96.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 42591287
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '96.77', 'twisting_conrey_index': 77, 'weight': 2}
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id: 42591288
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666944, 'source_is_minimal': False, 'source_label': '1024.2.a.d.1.2', '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': '96.83', 'twisting_conrey_index': 83, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1607775
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510798915666944, 'p': 2}
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id: 1607776
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510798915666944, 'p': 3}
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id: 1607777
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 13510798915666944, 'p': 5}
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id: 1607778
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510798915666944, 'p': 7}
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id: 1607779
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510798915666944, 'p': 11}
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id: 1607780
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 13510798915666944, 'p': 13}
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id: 1607781
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 13510798915666944, 'p': 17}
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id: 1607782
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510798915666944, 'p': 19}
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id: 1607783
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510798915666944, 'p': 23}
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id: 1607784
{'charpoly_factorization': [[[-98, 0, 1], 1]], 'hecke_orbit_code': 13510798915666944, 'p': 29}
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id: 1607785
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510798915666944, 'p': 31}
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id: 1607786
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 13510798915666944, 'p': 37}
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id: 1607787
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 13510798915666944, 'p': 41}
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id: 1607788
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510798915666944, 'p': 43}
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id: 1607789
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510798915666944, 'p': 47}
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id: 1607790
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 13510798915666944, 'p': 53}
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id: 1607791
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510798915666944, 'p': 59}
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id: 1607792
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 13510798915666944, 'p': 61}
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id: 1607793
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510798915666944, 'p': 67}
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id: 1607794
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510798915666944, 'p': 71}
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id: 1607795
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 13510798915666944, 'p': 73}
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id: 1607796
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510798915666944, 'p': 79}
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id: 1607797
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510798915666944, 'p': 83}
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id: 1607798
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 13510798915666944, 'p': 89}
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id: 1607799
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 13510798915666944, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '1024.2.a.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: 32597761
{'hecke_orbit_code': 13510798915666944, 'n': 1, 'trace_an': 2}
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id: 32597762
{'hecke_orbit_code': 13510798915666944, 'n': 2, 'trace_an': 0}
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id: 32597763
{'hecke_orbit_code': 13510798915666944, 'n': 3, 'trace_an': 0}
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