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mf_newforms • Show schema
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{'Nk2': 6272, 'analytic_conductor': 12.520543036936765, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [1568, 3, [1471, 197, 1473], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 961, 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, 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, [1, 2, 5, -2, 1]], [5, [49, 14, 11, -2, 1]], [11, [1, 2, 5, -2, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103583341218891296, 'hecke_ring_generator_nbound': 5, '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, 7, 3, 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': '1568.2.i.x', 'level': 1568, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '224.2.i.a', 'nf_label': '4.0.576.2', 'prim_orbit_index': 3, 'qexp_display': 'q+(1+\\beta _{1}+\\beta _{2})q^{3}+(-2\\beta _{1}-\\beta _{2}-2\\beta _{3})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1568.2.i', 'trace_display': [0, 2, 2, 0], 'trace_hash': 682454770368438222, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.808', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_cc • Show schema
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-0.3583513485671759, -0.46507732448553846, 0.18051194668146067, -0.3407272444337189, -0.08975732723071245, -0.2071485005134534, -0.0648478023595907, -0.49097351797802813, 0.2033428737147351, 0.00929634129685443, -0.4636117707818854, -0.4044349759632854, -0.21873265079783585, -0.3270390087333895, -0.26822423295676967, -0.03256588375186028, -0.13995080330268797, -0.47226802270490004, -0.28486185765770455, -0.3468132407979109, -0.0709652699044934, -0.3949027662653948, -0.3643154029335815, -0.48883329552127736, -0.21537332030922254, -0.2413629577714306, -0.44346889959968194, -0.07300659013955574, -0.20555834166109163, -0.04648768067701502, -0.2989147660919613, -0.14545201893404153, -0.48994531990765433, -0.40228178834844613], 'char_orbit_index': 9, 'conrey_index': 1537, 'dual_conrey_index': 961, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 3, 'embedding_root_imag': 1.224744871391589, 'embedding_root_real': -0.7071067811865476, 'hecke_orbit': 24, 'hecke_orbit_code': 103583341218891296, 'label': '1568.2.i.x.1537.1', 'level': 1568, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 6272, 'analytic_conductor': 12.520543036936765, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [1568, 3, [1471, 197, 1473], [3, 3, 1]], 'conrey_index': 961, 'cusp_dim': 384, 'dim': 80, 'eis_dim': 128, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11], 'hecke_orbit_code': 549789369888, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], 'label': '1568.2.i', 'level': 1568, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 512, 'mf_new_dim': 80, 'num_forms': 25, 'prim_orbit_index': 3, 'relative_dim': 40, 'sturm_bound': 448, 'trace_bound': 25, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -16, 0, 0, 0, 8, 0, 0, 0, -8, 0, 0, 0, -16, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 80, 0, 0, 0, 24, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 112, 0, 0, 0, -40, 0, 0, 0, -24, 0, 0, 0, 16, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -48, 0, 0, 0, -64, 0, 0, 0, -56, 0, 0, 0, -96, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -240, 0, 0, 0, 72, 0, 0, 0, 112, 0, 0, 0, 48, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 208, 0, 0, 0, 40, 0, 0, 0, -64, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -48, 0, 0, 0, -80, 0, 0, 0, 40, 0, 0, 0, -64, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, -160, 0, 0, 0, -80, 0, 0, 0, 96, 0, 0, 0, 128, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -16, 0, 0, 0, 96, 0, 0, 0, 48, 0, 0, 0, 96, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 272, 0, 0, 0, 208, 0, 0, 0, -96, 0, 0, 0, 32, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 96, 0, 0, 0, -88, 0, 0, 0, -72, 0, 0, 0, -144, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -136, 0, 0, 0, -208, 0, 0, 0, -96, 0, 0, 0, 168, 0, 0, 0, -272, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -576, 0, 0, 0, 96, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -224, 0, 0, 0, 16, 0, 0, 0, 80, 0, 0, 0, 176, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 112, 0, 0, 0, -144, 0, 0, 0, 40, 0, 0, 0, -48, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -208, 0, 0, 0, -136, 0, 0, 0, 40, 0, 0, 0, 240, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -48, 0, 0, 0, 104, 0, 0, 0, 152, 0, 0, 0, 64, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 48, 0, 0, 0, 128, 0, 0, 0, 128, 0, 0, 0, -64, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, 192, 0, 0, 0, -120, 0, 0, 0, -80, 0, 0, 0, 176, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, -640, 0, 0, 0, -136, 0, 0, 0, 40, 0, 0, 0, -528, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 352, 0, 0, 0, 112, 0, 0, 0, -296, 0, 0, 0, -48, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 48, 0, 0, 0, -24, 0, 0, 0, -104, 0, 0, 0, 64, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 512, 0, 0, 0, -56, 0, 0, 0, -24, 0, 0, 0, 16, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, -80, 0, 0, 0, 48, 0, 0, 0, 200, 0, 0, 0, 336, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, -64, 0, 0, 0, 144, 0, 0, 0, -392, 0, 0, 0, -80, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 416, 0, 0, 0, 264, 0, 0, 0, -216, 0, 0, 0, -208, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 752, 0, 0, 0, 0, 0, 0, 0, -232, 0, 0, 0, -208, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -304, 0, 0, 0, 96, 0, 0, 0, -144, 0, 0, 0, -152, 0, 0, 0, -80, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -232, 0, 0, 0, 416, 0, 0, 0, -32, 0, 0, 0, 240, 0, 0, 0, 224, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 208, 0, 0, 0, -64, 0, 0, 0, 120, 0, 0, 0, 336, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 176, 0, 0, 0, -96, 0, 0, 0, -336, 0, 0, 0, 160, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, -80, 0, 0, 0, 16, 0, 0, 0, -80, 0, 0, 0, 432, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 160, 0, 0, 0, -24, 0, 0, 0, -32, 0, 0, 0, 96, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -392, 0, 0, 0, 496, 0, 0, 0, 200, 0, 0, 0, 104, 0, 0, 0, -400, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -784, 0, 0, 0, -120, 0, 0, 0, 160, 0, 0, 0, -224, 0, 0, 0, 24, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48520502
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 1537, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103583341218891296, 'target_is_minimal': False, 'target_label': '1568.2.i.x.1537.1', 'target_level': 1568, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48520503
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 1537, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050944572556832, 'target_is_minimal': False, 'target_label': '1568.2.i.o.1537.2', 'target_level': 1568, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48520504
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 961, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103583341218891296, 'target_is_minimal': False, 'target_label': '1568.2.i.x.961.1', 'target_level': 1568, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48520505
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079191835706912, 'target_is_minimal': False, 'target_label': '1568.2.a.w.1.1', 'target_level': 1568, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48520506
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396679890464, 'target_is_minimal': False, 'target_label': '1568.2.a.j.1.2', 'target_level': 1568, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48520507
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 65, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 549789368544, 'target_is_minimal': True, 'target_label': '224.2.i.a.65.2', 'target_level': 224, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48520508
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 193, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 549789368544, 'target_is_minimal': True, 'target_label': '224.2.i.a.193.2', 'target_level': 224, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48520509
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 289, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72058831022065632, 'target_is_minimal': False, 'target_label': '2016.2.s.q.289.1', 'target_level': 2016, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48520510
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 865, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72058831022065632, 'target_is_minimal': False, 'target_label': '2016.2.s.q.865.1', 'target_level': 2016, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 48520511
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539595934631456, 'target_is_minimal': False, 'target_label': '1568.2.a.l.1.2', 'target_level': 1568, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '28.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48520512
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580965920, 'target_is_minimal': False, 'target_label': '1568.2.a.u.1.1', 'target_level': 1568, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '28.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48520513
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 65, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671480032, 'target_is_minimal': True, 'target_label': '224.2.i.d.65.1', 'target_level': 224, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48520514
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 961, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050944572556832, 'target_is_minimal': False, 'target_label': '1568.2.i.o.961.2', 'target_level': 1568, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 48520515
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 193, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671480032, 'target_is_minimal': True, 'target_label': '224.2.i.d.193.1', 'target_level': 224, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 48520516
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 216172782147341376, 'target_is_minimal': False, 'target_label': '3136.2.a.bw.1.1', 'target_level': 3136, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '56.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48520517
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 65, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532946435703232, 'target_is_minimal': False, 'target_label': '448.2.i.j.65.1', 'target_level': 448, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '56.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48520518
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 135107988854672448, 'target_is_minimal': False, 'target_label': '3136.2.a.be.1.2', 'target_level': 3136, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '56.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48520519
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 193, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532946435703232, 'target_is_minimal': False, 'target_label': '448.2.i.j.193.1', 'target_level': 448, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '56.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 48520520
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 65, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022147553591744, 'target_is_minimal': False, 'target_label': '448.2.i.g.65.2', 'target_level': 448, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '56.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48520521
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 193, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022147553591744, 'target_is_minimal': False, 'target_label': '448.2.i.g.193.2', 'target_level': 448, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '56.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 48520522
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 130604389227301952, 'target_is_minimal': False, 'target_label': '3136.2.a.bd.1.2', 'target_level': 3136, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '56.45', 'twisting_conrey_index': 45, 'weight': 2}
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id: 48520523
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 220676381774711872, 'target_is_minimal': False, 'target_label': '3136.2.a.bx.1.1', 'target_level': 3136, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '56.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 48520524
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 289, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81066030276806624, 'target_is_minimal': False, 'target_label': '2016.2.s.s.289.1', 'target_level': 2016, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '84.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 48520525
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1537, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103583341218891296, 'source_is_minimal': False, 'source_label': '1568.2.i.x.1537.1', 'source_level': 1568, 'target_conrey_index': 865, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81066030276806624, 'target_is_minimal': False, 'target_label': '2016.2.s.s.865.1', 'target_level': 2016, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2042875
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 103583341218891296, 'p': 2}
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id: 2042876
{'charpoly_factorization': [[[1, 2, 5, -2, 1], 1]], 'hecke_orbit_code': 103583341218891296, 'p': 3}
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id: 2042877
{'charpoly_factorization': [[[49, 14, 11, -2, 1], 1]], 'hecke_orbit_code': 103583341218891296, 'p': 5}
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id: 2042878
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 103583341218891296, 'p': 7}
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id: 2042879
{'charpoly_factorization': [[[1, 2, 5, -2, 1], 1]], 'hecke_orbit_code': 103583341218891296, 'p': 11}
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id: 2042880
{'charpoly_factorization': [[[-8, 0, 1], 2]], 'hecke_orbit_code': 103583341218891296, 'p': 13}
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id: 2042881
{'charpoly_factorization': [[[1, 6, 35, 6, 1], 1]], 'hecke_orbit_code': 103583341218891296, 'p': 17}
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id: 2042882
{'charpoly_factorization': [[[529, -230, 77, -10, 1], 1]], 'hecke_orbit_code': 103583341218891296, 'p': 19}
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id: 2042883
{'charpoly_factorization': [[[289, 34, 21, -2, 1], 1]], 'hecke_orbit_code': 103583341218891296, 'p': 23}
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id: 2042884
{'charpoly_factorization': [[[-8, 0, 1], 2]], 'hecke_orbit_code': 103583341218891296, 'p': 29}
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id: 2042885
{'charpoly_factorization': [[[2209, -658, 149, -14, 1], 1]], 'hecke_orbit_code': 103583341218891296, 'p': 31}
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id: 2042886
{'charpoly_factorization': [[[529, -138, 59, 6, 1], 1]], 'hecke_orbit_code': 103583341218891296, 'p': 37}
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id: 2042887
{'charpoly_factorization': [[[8, -8, 1], 2]], 'hecke_orbit_code': 103583341218891296, 'p': 41}
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id: 2042888
{'charpoly_factorization': [[[-16, -8, 1], 2]], 'hecke_orbit_code': 103583341218891296, 'p': 43}
-
id: 2042889
{'charpoly_factorization': [[[6241, -1422, 245, -18, 1], 1]], 'hecke_orbit_code': 103583341218891296, 'p': 47}
-
id: 2042890
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 103583341218891296, 'p': 53}
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id: 2042891
{'charpoly_factorization': [[[9409, 194, 101, -2, 1], 1]], 'hecke_orbit_code': 103583341218891296, 'p': 59}
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id: 2042892
{'charpoly_factorization': [[[529, 138, 59, -6, 1], 1]], 'hecke_orbit_code': 103583341218891296, 'p': 61}
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id: 2042893
{'charpoly_factorization': [[[961, -434, 165, -14, 1], 1]], 'hecke_orbit_code': 103583341218891296, 'p': 67}
-
id: 2042894
{'charpoly_factorization': [[[32, -16, 1], 2]], 'hecke_orbit_code': 103583341218891296, 'p': 71}
-
id: 2042895
{'charpoly_factorization': [[[2401, 882, 275, 18, 1], 1]], 'hecke_orbit_code': 103583341218891296, 'p': 73}
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id: 2042896
{'charpoly_factorization': [[[2401, 98, 53, -2, 1], 1]], 'hecke_orbit_code': 103583341218891296, 'p': 79}
-
id: 2042897
{'charpoly_factorization': [[[-112, 8, 1], 2]], 'hecke_orbit_code': 103583341218891296, 'p': 83}
-
id: 2042898
{'charpoly_factorization': [[[81, 9, 1], 2]], 'hecke_orbit_code': 103583341218891296, 'p': 89}
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id: 2042899
{'charpoly_factorization': [[[8, -8, 1], 2]], 'hecke_orbit_code': 103583341218891296, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 24, 'label': '1568.2.i.x', 'level': 1568, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 66284047
{'hecke_orbit_code': 103583341218891296, 'n': 1, 'trace_an': 4}
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id: 66284048
{'hecke_orbit_code': 103583341218891296, 'n': 2, 'trace_an': 0}
-
id: 66284049
{'hecke_orbit_code': 103583341218891296, 'n': 3, 'trace_an': 2}
-
id: 66284050
{'hecke_orbit_code': 103583341218891296, 'n': 4, 'trace_an': 0}
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id: 66284051
{'hecke_orbit_code': 103583341218891296, 'n': 5, 'trace_an': 2}
-
id: 66284052
{'hecke_orbit_code': 103583341218891296, 'n': 6, 'trace_an': 0}
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id: 66284053
{'hecke_orbit_code': 103583341218891296, 'n': 7, 'trace_an': 0}
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id: 66284054
{'hecke_orbit_code': 103583341218891296, 'n': 8, 'trace_an': 0}
-
id: 66284055
{'hecke_orbit_code': 103583341218891296, 'n': 9, 'trace_an': 0}
-
id: 66284056
{'hecke_orbit_code': 103583341218891296, 'n': 10, 'trace_an': 0}
-
id: 66284057
{'hecke_orbit_code': 103583341218891296, 'n': 11, 'trace_an': 2}
-
id: 66284058
{'hecke_orbit_code': 103583341218891296, 'n': 12, 'trace_an': 0}
-
id: 66284059
{'hecke_orbit_code': 103583341218891296, 'n': 13, 'trace_an': 0}
-
id: 66284060
{'hecke_orbit_code': 103583341218891296, 'n': 14, 'trace_an': 0}
-
id: 66284061
{'hecke_orbit_code': 103583341218891296, 'n': 15, 'trace_an': 20}
-
id: 66284062
{'hecke_orbit_code': 103583341218891296, 'n': 16, 'trace_an': 0}
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id: 66284063
{'hecke_orbit_code': 103583341218891296, 'n': 17, 'trace_an': -6}
-
id: 66284064
{'hecke_orbit_code': 103583341218891296, 'n': 18, 'trace_an': 0}
-
id: 66284065
{'hecke_orbit_code': 103583341218891296, 'n': 19, 'trace_an': 10}
-
id: 66284066
{'hecke_orbit_code': 103583341218891296, 'n': 20, 'trace_an': 0}
-
id: 66284067
{'hecke_orbit_code': 103583341218891296, 'n': 21, 'trace_an': 0}
-
id: 66284068
{'hecke_orbit_code': 103583341218891296, 'n': 22, 'trace_an': 0}
-
id: 66284069
{'hecke_orbit_code': 103583341218891296, 'n': 23, 'trace_an': 2}
-
id: 66284070
{'hecke_orbit_code': 103583341218891296, 'n': 24, 'trace_an': 0}
-
id: 66284071
{'hecke_orbit_code': 103583341218891296, 'n': 25, 'trace_an': -8}
-
id: 66284072
{'hecke_orbit_code': 103583341218891296, 'n': 26, 'trace_an': 0}
-
id: 66284073
{'hecke_orbit_code': 103583341218891296, 'n': 27, 'trace_an': -4}
-
id: 66284074
{'hecke_orbit_code': 103583341218891296, 'n': 28, 'trace_an': 0}
-
id: 66284075
{'hecke_orbit_code': 103583341218891296, 'n': 29, 'trace_an': 0}
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