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mf_newforms • Show schema
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{'Nk2': 3200, 'analytic_conductor': 11.800382001148122, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [200, 2, [151, 101, 177], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 101, 'dim': 12, 'field_disc': 1046715722786811580416, 'field_disc_factorization': [[2, 12], [3, 8], [409, 2], [15259, 2]], 'field_poly': [4096, -4096, 1792, -768, 336, 0, -68, 0, 21, -12, 7, -4, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [7529536, 0, 13618560, 0, 5547312, 0, 493760, 0, 16140, 0, 216, 0, 1]], [7, [14843128, 4186552, 166612, -23408, -1258, 14, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503805852909768, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 20480000, 'hecke_ring_index_factorization': [[2, 15], [5, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 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': '200.4.d.b', 'level': 200, '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, 5], 'level_radical': 10, 'minimal_twist': '40.4.d.a', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{1}q^{2}-\\beta _{3}q^{3}+(1+\\beta _{6})q^{4}+(-3+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '200.4.d', 'trace_display': [-2, 0, 0, -28], 'trace_hash': 970201790114861986, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_cc • Show schema
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{'an_normalized': [[1.0, 0.0], [0.916554627916057, 0.3999095073209166], [0.0, 1.2043229102959019], [0.6801447719086835, 0.7330778193652329], [0.0, 0.0], [-0.48162018171172666, 1.1038277369370433], [1.8697343445777805, 0.0], [0.3302250487755726, 0.9439022286027142], [-0.4503936722635911, 0.0], [0.0, 0.0], [0.0, -0.2169770878713193], [-0.8828624128913107, 0.8191139311276081], [0.0, 0.23541956511202342], [1.7137136664963604, 0.7477245405610972], [0.0, 0.0], [-0.07480617849056993, 0.9971980924869627], [-0.8219849545431829, 0.0], [-0.4128104046973023, -0.18011671157539114], [0.0, -1.7041090280847035], [0.0, 0.0], [0.0, 2.2517639073421134], [0.08677120031054654, -0.1988713540402067], [-1.1724658883148171, 0.0], [-1.1367630789856087, 0.3976975917940038], [0.0, 0.0], [-0.09414652229765375, 0.21577489190541058], [0.0, 0.6619034921365552], [1.2716900393226862, 1.3706607761153622], [0.0, -0.5709578471005503], [0.0, 0.0], [-0.4538262975898816, 0.0], [-0.4673529469600656, 0.8840708246332655], 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mf_newspaces • Show schema
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{'Nk2': 3200, 'analytic_conductor': 11.800382001148122, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [200, 2, [151, 101, 177], [2, 1, 2]], 'conrey_index': 101, 'cusp_dim': 84, 'dim': 54, 'eis_dim': 12, 'eis_new_dim': 6, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 206225539272, 'hecke_orbit_dims': [2, 12, 12, 12, 16], 'label': '200.4.d', 'level': 200, '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, 5], 'level_radical': 10, 'mf_dim': 96, 'mf_new_dim': 60, 'num_forms': 5, 'prim_orbit_index': 2, 'relative_dim': 54, 'sturm_bound': 120, 'trace_bound': 2, 'trace_display': [0, 0, 0, -12], 'traces': [54, 0, 0, 2, 0, -2, -12, 0, -430, 0, 0, -132, 0, -168, 0, 130, 28, 204, 0, 0, 0, 248, -300, -210, 0, -204, 0, 340, 0, 0, -456, 280, 64, 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mf_twists_cc • Show schema
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id: 34938760
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 101, 'target_dim': 12, 'target_embedding_index': 12, 'target_hecke_orbit_code': 4503805852909768, 'target_is_minimal': False, 'target_label': '200.4.d.b.101.12', 'target_level': 200, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 34938761
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 401, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511005107651360, 'target_is_minimal': False, 'target_label': '800.4.d.d.401.3', 'target_level': 800, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 34938762
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 149, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007542919233736, 'target_is_minimal': False, 'target_label': '200.4.f.c.149.4', 'target_level': 200, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 34938763
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 149, 'target_dim': 12, 'target_embedding_index': 9, 'target_hecke_orbit_code': 4503943291863240, 'target_is_minimal': False, 'target_label': '200.4.f.b.149.9', 'target_level': 200, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 34938764
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 21, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206225539112, 'target_is_minimal': True, 'target_label': '40.4.d.a.21.1', 'target_level': 40, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 34938765
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 401, 'target_dim': 12, 'target_embedding_index': 10, 'target_hecke_orbit_code': 13511005107651360, 'target_is_minimal': False, 'target_label': '800.4.d.d.401.10', 'target_level': 800, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 34938766
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 101, 'target_dim': 12, 'target_embedding_index': 11, 'target_hecke_orbit_code': 4503805852909768, 'target_is_minimal': False, 'target_label': '200.4.d.b.101.11', 'target_level': 200, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 34938767
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 181, 'target_dim': 12, 'target_embedding_index': 12, 'target_hecke_orbit_code': 9007886516617576, 'target_is_minimal': False, 'target_label': '360.4.k.c.181.12', 'target_level': 360, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 34938768
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 10, 'target_hecke_orbit_code': 9007542919234336, 'target_is_minimal': False, 'target_label': '800.4.f.c.49.10', 'target_level': 800, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 34938769
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503943291863840, 'target_is_minimal': False, 'target_label': '800.4.f.b.49.3', 'target_level': 800, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 34938770
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 81, 'target_dim': 12, 'target_embedding_index': 10, 'target_hecke_orbit_code': 206225539232, 'target_is_minimal': False, 'target_label': '160.4.d.a.81.10', 'target_level': 160, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 34938771
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503943291863840, 'target_is_minimal': False, 'target_label': '800.4.f.b.49.4', 'target_level': 800, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 34938772
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 149, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007542919233736, 'target_is_minimal': False, 'target_label': '200.4.f.c.149.3', 'target_level': 200, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '40.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 34938773
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 81, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 206225539232, 'target_is_minimal': False, 'target_label': '160.4.d.a.81.3', 'target_level': 160, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 34938774
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 9, 'target_hecke_orbit_code': 9007542919234336, 'target_is_minimal': False, 'target_label': '800.4.f.c.49.9', 'target_level': 800, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '40.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 34938775
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 21, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 206225539112, 'target_is_minimal': True, 'target_label': '40.4.d.a.21.2', 'target_level': 40, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 34938776
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 149, 'target_dim': 12, 'target_embedding_index': 10, 'target_hecke_orbit_code': 4503943291863240, 'target_is_minimal': False, 'target_label': '200.4.f.b.149.10', 'target_level': 200, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '40.37', 'twisting_conrey_index': 37, 'weight': 4}
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id: 34938777
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 721, 'target_dim': 12, 'target_embedding_index': 12, 'target_hecke_orbit_code': 9007886516618656, 'target_is_minimal': False, 'target_label': '1440.4.k.c.721.12', 'target_level': 1440, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 4}
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id: 34938778
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 117093590378743040, 'target_is_minimal': False, 'target_label': '1280.4.a.ba.1.2', 'target_level': 1280, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '80.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 34938779
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 126100789633484032, 'target_is_minimal': False, 'target_label': '1280.4.a.bc.1.5', 'target_level': 1280, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '80.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 34938780
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 130604389260854528, 'target_is_minimal': False, 'target_label': '1280.4.a.bd.1.5', 'target_level': 1280, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '80.59', 'twisting_conrey_index': 59, 'weight': 4}
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id: 34938781
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 121597190006113536, 'target_is_minimal': False, 'target_label': '1280.4.a.bb.1.2', 'target_level': 1280, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '80.69', 'twisting_conrey_index': 69, 'weight': 4}
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id: 34938782
{'conductor': 120, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 181, 'target_dim': 12, 'target_embedding_index': 11, 'target_hecke_orbit_code': 9007886516617576, 'target_is_minimal': False, 'target_label': '360.4.k.c.181.11', 'target_level': 360, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '120.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 34938783
{'conductor': 120, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 101, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503805852909768, 'source_is_minimal': False, 'source_label': '200.4.d.b.101.12', 'source_level': 200, 'target_conrey_index': 721, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007886516618656, 'target_is_minimal': False, 'target_label': '1440.4.k.c.721.6', 'target_level': 1440, 'twist_class_label': '40.4.d.a.21.1', 'twist_class_level': 40, 'twisting_char_label': '120.59', 'twisting_conrey_index': 59, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 500525
{'charpoly_factorization': [[[262144, 65536, -24576, -14336, 256, 1408, 544, 176, 4, -28, -6, 2, 1], 1]], 'hecke_orbit_code': 4503805852909768, 'p': 2}
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id: 500526
{'charpoly_factorization': [[[7529536, 0, 13618560, 0, 5547312, 0, 493760, 0, 16140, 0, 216, 0, 1], 1]], 'hecke_orbit_code': 4503805852909768, 'p': 3}
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id: 500527
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4503805852909768, 'p': 5}
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id: 500528
{'charpoly_factorization': [[[14843128, 4186552, 166612, -23408, -1258, 14, 1], 2]], 'hecke_orbit_code': 4503805852909768, 'p': 7}
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id: 500529
{'charpoly_factorization': [[[264112121858560000, 0, 5990669494016000, 0, 31474418953984, 0, 52214287616, 0, 35501552, 0, 10072, 0, 1], 1]], 'hecke_orbit_code': 4503805852909768, 'p': 11}
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id: 500530
{'charpoly_factorization': [[[24897810332160000, 0, 1388736007833600, 0, 13454415339264, 0, 34395950848, 0, 32345968, 0, 11144, 0, 1], 1]], 'hecke_orbit_code': 4503805852909768, 'p': 13}
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id: 500531
{'charpoly_factorization': [[[-7473839808, -94617600, 43622832, 102400, -14500, 0, 1], 2]], 'hecke_orbit_code': 4503805852909768, 'p': 17}
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id: 500532
{'charpoly_factorization': [[[1772608512783726874624, 0, 9115013767034955776, 0, 12430900456140544, 0, 4896268004096, 0, 741344240, 0, 46312, 0, 1], 1]], 'hecke_orbit_code': 4503805852909768, 'p': 19}
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id: 500533
{'charpoly_factorization': [[[881168216, 572113656, -67297772, -1768464, 12942, 302, 1], 2]], 'hecke_orbit_code': 4503805852909768, 'p': 23}
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id: 500534
{'charpoly_factorization': [[[1127350354638274560000, 0, 7210490578757222400, 0, 13691728754049024, 0, 9116845195264, 0, 1615955712, 0, 92448, 0, 1], 1]], 'hecke_orbit_code': 4503805852909768, 'p': 29}
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id: 500535
{'charpoly_factorization': [[[-1437816300032, 14378815744, 598242624, -3324032, -67624, 132, 1], 2]], 'hecke_orbit_code': 4503805852909768, 'p': 31}
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id: 500536
{'charpoly_factorization': [[[2111537125247224677443375104, 0, 627584725682702925780992, 0, 55340213982459145984, 0, 2053126014070016, 0, 36606865904, 0, 310360, 0, 1], 1]], 'hecke_orbit_code': 4503805852909768, 'p': 37}
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id: 500537
{'charpoly_factorization': [[[-71667547865600, -248429610240, 12020264768, 12143488, -236520, -20, 1], 2]], 'hecke_orbit_code': 4503805852909768, 'p': 41}
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id: 500538
{'charpoly_factorization': [[[258883621191661288765504, 0, 370442702927050601924480, 0, 45914998106297190192, 0, 2034641371605440, 0, 39929204300, 0, 338808, 0, 1], 1]], 'hecke_orbit_code': 4503805852909768, 'p': 43}
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id: 500539
{'charpoly_factorization': [[[-72048375466472, -87202852120, 12457446740, 47634640, -170594, -470, 1], 2]], 'hecke_orbit_code': 4503805852909768, 'p': 47}
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id: 500540
{'charpoly_factorization': [[[863790141396234424108547608576, 0, 85513918002291204562028544, 0, 2987689602671252217600, 0, 45493129845755648, 0, 310944242544, 0, 939912, 0, 1], 1]], 'hecke_orbit_code': 4503805852909768, 'p': 53}
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id: 500541
{'charpoly_factorization': [[[105566813302722494834806277607424, 0, 5209976767746147315458992128, 0, 74713872967072499920640, 0, 457619069256882944, 0, 1352048492016, 0, 1889384, 0, 1], 1]], 'hecke_orbit_code': 4503805852909768, 'p': 59}
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id: 500542
{'charpoly_factorization': [[[61689356907795919619791360000, 0, 19280170271395134962432000, 0, 903747807700361707264, 0, 16827225536180480, 0, 149193877616, 0, 627448, 0, 1], 1]], 'hecke_orbit_code': 4503805852909768, 'p': 61}
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id: 500543
{'charpoly_factorization': [[[8788552197592891481600694336, 0, 25238935930218138617498496, 0, 5040655716162487748400, 0, 96965422362500032, 0, 574605283404, 0, 1320888, 0, 1], 1]], 'hecke_orbit_code': 4503805852909768, 'p': 67}
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id: 500544
{'charpoly_factorization': [[[-36004201763291648, 104342070638336, 299720944960, -646173568, -994216, 796, 1], 2]], 'hecke_orbit_code': 4503805852909768, 'p': 71}
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id: 500545
{'charpoly_factorization': [[[-378730163491776, 4911943646592, 66833909040, -84325184, -955764, 216, 1], 2]], 'hecke_orbit_code': 4503805852909768, 'p': 73}
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id: 500546
{'charpoly_factorization': [[[-44192643752652800, -167913125703680, 463896097536, 914985472, -1164496, -1008, 1], 2]], 'hecke_orbit_code': 4503805852909768, 'p': 79}
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id: 500547
{'charpoly_factorization': [[[784704573068492718516575676009024, 0, 264990803482057714540774899840, 0, 1926040234196767308278832, 0, 5310168953691257920, 0, 6904943050860, 0, 4256648, 0, 1], 1]], 'hecke_orbit_code': 4503805852909768, 'p': 83}
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id: 500548
{'charpoly_factorization': [[[-62769827445803200, 249244879280960, 951729455216, -1209707808, -2683156, 212, 1], 2]], 'hecke_orbit_code': 4503805852909768, 'p': 89}
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id: 500549
{'charpoly_factorization': [[[-33531890854420928, -113285581236608, 358920178224, 849246016, -1545556, -792, 1], 2]], 'hecke_orbit_code': 4503805852909768, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 2, 'label': '200.4.d.b', 'level': 200, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 21713257
{'hecke_orbit_code': 4503805852909768, 'n': 1, 'trace_an': 12}
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id: 21713258
{'hecke_orbit_code': 4503805852909768, 'n': 2, 'trace_an': -2}
-
id: 21713259
{'hecke_orbit_code': 4503805852909768, 'n': 3, 'trace_an': 0}
-
id: 21713260
{'hecke_orbit_code': 4503805852909768, 'n': 4, 'trace_an': 16}
-
id: 21713261
{'hecke_orbit_code': 4503805852909768, 'n': 5, 'trace_an': 0}
-
id: 21713262
{'hecke_orbit_code': 4503805852909768, 'n': 6, 'trace_an': -36}
-
id: 21713263
{'hecke_orbit_code': 4503805852909768, 'n': 7, 'trace_an': -28}
-
id: 21713264
{'hecke_orbit_code': 4503805852909768, 'n': 8, 'trace_an': 40}
-
id: 21713265
{'hecke_orbit_code': 4503805852909768, 'n': 9, 'trace_an': -108}
-
id: 21713266
{'hecke_orbit_code': 4503805852909768, 'n': 10, 'trace_an': 0}
-
id: 21713267
{'hecke_orbit_code': 4503805852909768, 'n': 11, 'trace_an': 0}
-
id: 21713268
{'hecke_orbit_code': 4503805852909768, 'n': 12, 'trace_an': -188}
-
id: 21713269
{'hecke_orbit_code': 4503805852909768, 'n': 13, 'trace_an': 0}
-
id: 21713270
{'hecke_orbit_code': 4503805852909768, 'n': 14, 'trace_an': 68}
-
id: 21713271
{'hecke_orbit_code': 4503805852909768, 'n': 15, 'trace_an': 0}
-
id: 21713272
{'hecke_orbit_code': 4503805852909768, 'n': 16, 'trace_an': -56}
-
id: 21713273
{'hecke_orbit_code': 4503805852909768, 'n': 17, 'trace_an': 0}
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id: 21713274
{'hecke_orbit_code': 4503805852909768, 'n': 18, 'trace_an': 206}
-
id: 21713275
{'hecke_orbit_code': 4503805852909768, 'n': 19, 'trace_an': 0}
-
id: 21713276
{'hecke_orbit_code': 4503805852909768, 'n': 20, 'trace_an': 0}
-
id: 21713277
{'hecke_orbit_code': 4503805852909768, 'n': 21, 'trace_an': 0}
-
id: 21713278
{'hecke_orbit_code': 4503805852909768, 'n': 22, 'trace_an': 164}
-
id: 21713279
{'hecke_orbit_code': 4503805852909768, 'n': 23, 'trace_an': -604}
-
id: 21713280
{'hecke_orbit_code': 4503805852909768, 'n': 24, 'trace_an': 360}
-
id: 21713281
{'hecke_orbit_code': 4503805852909768, 'n': 25, 'trace_an': 0}
-
id: 21713282
{'hecke_orbit_code': 4503805852909768, 'n': 26, 'trace_an': -308}
-
id: 21713283
{'hecke_orbit_code': 4503805852909768, 'n': 27, 'trace_an': 0}
-
id: 21713284
{'hecke_orbit_code': 4503805852909768, 'n': 28, 'trace_an': 436}
-
id: 21713285
{'hecke_orbit_code': 4503805852909768, 'n': 29, 'trace_an': 0}
-
id: 21713286
{'hecke_orbit_code': 4503805852909768, 'n': 30, 'trace_an': 0}
-
id: 21713287
{'hecke_orbit_code': 4503805852909768, 'n': 31, 'trace_an': -264}
-
id: 21713288
{'hecke_orbit_code': 4503805852909768, 'n': 32, 'trace_an': -72}
-
id: 21713289
{'hecke_orbit_code': 4503805852909768, 'n': 33, 'trace_an': 232}
-
id: 21713290
{'hecke_orbit_code': 4503805852909768, 'n': 34, 'trace_an': -180}
-
id: 21713291
{'hecke_orbit_code': 4503805852909768, 'n': 35, 'trace_an': 0}
-
id: 21713292
{'hecke_orbit_code': 4503805852909768, 'n': 36, 'trace_an': 440}
-
id: 21713293
{'hecke_orbit_code': 4503805852909768, 'n': 37, 'trace_an': 0}
-
id: 21713294
{'hecke_orbit_code': 4503805852909768, 'n': 38, 'trace_an': -820}
-
id: 21713295
{'hecke_orbit_code': 4503805852909768, 'n': 39, 'trace_an': 600}
-
id: 21713296
{'hecke_orbit_code': 4503805852909768, 'n': 40, 'trace_an': 0}
-
id: 21713297
{'hecke_orbit_code': 4503805852909768, 'n': 41, 'trace_an': 40}
-
id: 21713298
{'hecke_orbit_code': 4503805852909768, 'n': 42, 'trace_an': -884}
-
id: 21713299
{'hecke_orbit_code': 4503805852909768, 'n': 43, 'trace_an': 0}
-
id: 21713300
{'hecke_orbit_code': 4503805852909768, 'n': 44, 'trace_an': -472}
-
id: 21713301
{'hecke_orbit_code': 4503805852909768, 'n': 45, 'trace_an': 0}
-
id: 21713302
{'hecke_orbit_code': 4503805852909768, 'n': 46, 'trace_an': -1268}
-
id: 21713303
{'hecke_orbit_code': 4503805852909768, 'n': 47, 'trace_an': 940}
-
id: 21713304
{'hecke_orbit_code': 4503805852909768, 'n': 48, 'trace_an': -424}
-
id: 21713305
{'hecke_orbit_code': 4503805852909768, 'n': 49, 'trace_an': 1308}
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