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mf_newforms • Show schema
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{'Nk2': 720, 'analytic_conductor': 1.4373072363830468, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 20, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': 1, 'char_values': [180, 4, [91, 101, 37], [2, 4, 1]], 'cm_discs': [], 'conrey_index': 127, 'dim': 12, 'field_disc': 426337261060096, 'field_disc_factorization': [[2, 24], [71, 4]], 'field_poly': [64, 0, 0, -32, -12, 8, 8, 4, -3, -4, 0, 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': [[7, [4096, 0, 0, 0, 7440, 0, 0, 0, 200, 0, 0, 0, 1]], [13, [32, -96, 144, -32, 2, 2, 1]], [17, [800, 160, 16, -80, 50, -10, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18015085737803956, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 32, 'hecke_ring_index_factorization': [[2, 5]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 5, 3, -1, 4, 0], [1, 1, 20, 5, 1, 4, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '180.2.k.e', 'level': 180, 'level_is_powerful': False, '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, 3, 5], 'level_radical': 30, 'minimal_twist': '60.2.j.a', 'nf_label': '12.0.426337261060096.1', 'prim_orbit_index': 5, 'qexp_display': 'q+\\beta _{1}q^{2}+\\beta _{2}q^{4}+(-1-\\beta _{1}+\\beta _{7}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '180.2.k', 'trace_display': [0, 0, 0, 0], 'trace_hash': 927863841032449313, 'trace_moments': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 720, 'analytic_conductor': 1.4373072363830468, 'char_conductor': 20, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': 1, 'char_values': [180, 4, [91, 101, 37], [2, 4, 1]], 'conrey_index': 127, 'cusp_dim': 56, 'dim': 26, 'eis_dim': 32, 'eis_new_dim': 8, 'hecke_cutter_primes': [7, 13, 17], 'hecke_orbit_code': 687228321972, 'hecke_orbit_dims': [2, 2, 2, 8, 12], 'label': '180.2.k', 'level': 180, 'level_is_powerful': False, '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, 3, 5], 'level_radical': 30, 'mf_dim': 88, 'mf_new_dim': 34, 'num_forms': 5, 'prim_orbit_index': 5, 'relative_dim': 13, 'sturm_bound': 72, 'trace_bound': 5, 'trace_display': [2, 0, 4, 0], 'traces': [26, 2, 0, 0, 4, 0, 0, 8, 0, -10, 0, 0, -2, 0, 0, -16, 14, 0, 0, -16, 0, -16, 0, 0, 6, -20, 0, -32, 0, 0, 0, -28, 0, 0, 0, 0, -6, -16, 0, 20, 0, 0, 0, 0, 0, 16, 0, 0, 0, 30, 0, 52, -22, 0, 0, 64, 0, 24, 0, 0, -40, 56, 0, 0, -22, 0, 0, 28, 0, 16, 0, 0, -38, 0, 0, -48, -48, 0, 0, -20, 0, -32, 0, 0, -26, -64, 0, 32, 0, 0, 0, -56, 0, 0, 0, 0, -54, -38, 0, 72, 36, 0, 0, 0, 0, 92, 0, 0, 0, 40, 0, 48, 54, 0, 0, 40, 0, 80, 0, 0, 30, 88, 0, 0, 52, 0, 0, 44, 0, -56, 0, 0, 32, 0, 0, -40, 26, 0, 0, -40, 0, -96, 0, 0, 72, -92, 0, -44, 0, 0, 0, -64, 0, 0, 0, 0, 86, -40, 0, -72, -64, 0, 0, 0, 0, 16, 0, 0, 0, 36, 0, -32, -78, 0, 0, 16, 0, -64, 0, 0, 28, 40, 0, 0, -94, 0, 0, 64, 0, -160, 0, 0, -18, 0, 0, -100, -14, 0, 0, -48, 0, -4, 0, 0, -104, -80, 0, -128, 0, 0, 0, -68, 0, 0, 0, 0, 64, -60, 0, 48, 100, 0, 0, 0, 0, -92, 0, 0, 0, 56, 0, 136, 126, 0, 0, 96, 0, 48, 0, 0, 80, 30, 0, 0, 98, 0, 0, -8, 0, 138, 0, 0, 128, 0, 0, -24, 118, 0, 0, -44, 0, 48, 0, 0, 78, 48, 0, 144, 0, 0, 0, -16, 0, 0, 0, 0, -18, -8, 0, 128, -16, 0, 0, 0, 0, 192, 0, 0, 0, -32, 0, 28, -178, 0, 0, 80, 0, 172, 0, 0, -192, 8, 0, 0, -80, 0, 0, 8, 0, 0, 0, 0, -90, 0, 0, 112, -130, 0, 0, -20, 0, -128, 0, 0, -182, 64, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, -158, 34, 0, -164, -96, 0, 0, 0, 0, 44, 0, 0, 0, -16, 0, -48, 106, 0, 0, 8, 0, -224, 0, 0, -110, 4, 0, 0, 126, 0, 0, -24, 0, -140, 0, 0, 50, 0, 0, -48, -24, 0, 0, 96, 0, 32, 0, 0, 96, -20, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, -30, 8, 0, 40, -188, 0, 0, 0, 0, -64, 0, 0, 0, 8, 0, 48, -48, 0, 0, -88, 0, -16, 0, 0, 8, -40, 0, 0, -190, 0, 0, -16, 0, 256, 0, 0, -174, 0, 0, 56, 64, 0, 0, -8, 0, 172, 0, 0, 96, -32, 0, 224, 0, 0, 0, 44, 0, 0, 0, 0, -18, 64, 0, 192, 180, 0, 0, 0, 0, 20, 0, 0, 0, -48, 0, -128, 160, 0, 0, -128, 0, 144, 0, 0, 188, -80, 0, 0, 250, 0, 0, -16, 0, -30, 0, 0, 144, 0, 0, 176, 160, 0, 0, 72, 0, -176, 0, 0, 200, -32, 0, -80, 0, 0, 0, 116, 0, 0, 0, 0, 224, 40, 0, -320, 44, 0, 0, 0, 0, -208, 0, 0, 0, -32, 0, -208, -112, 0, 0, -96, 0, -276, 0, 0, 84, -56, 0, 0, -132, 0, 0, -100, 0, -144, 0, 0, -128, 0, 0, -240, -198, 0, 0, 24, 0, 48, 0, 0, -22, 240, 0, -256, 0, 0, 0, 56, 0, 0, 0, 0, -10, 6, 0, 8, 96, 0, 0, 0, 0, -140, 0, 0, 0, -40, 0, 48, 74, 0, 0, -48, 0, -16, 0, 0, 32, -112, 0, 0, 28, 0, 0, -16, 0, 232, 0, 0, 278, 0, 0, 224, -18, 0, 0, 8, 0, 208, 0, 0, -86, 204, 0, 380, 0, 0, 0, 136, 0, 0, 0, 0, 274, -32, 0, 136, -192, 0, 0, 0, 0, 128, 0, 0, 0, -4, 0, -80, -102, 0, 0, 40, 0, 176, 0, 0, -168, -128, 0, 0, -160, 0, 0, -120, 0, -16, 0, 0, -30, 0, 0, 300, -14, 0, 0, 56, 0, -64, 0, 0, -246, 32, 0, 128, 0, 0, 0, 116, 0, 0, 0, 0, -200, 72, 0, -384, 248, 0, 0, 0, 0, -4, 0, 0, 0, -176, 0, -264, 160, 0, 0, -176, 0, -320, 0, 0, -128, -86, 0, 0, 80, 0, 0, -24, 0, -248, 0, 0, -134, 0, 0, -112, 160, 0, 0, 68, 0, 272, 0, 0, 92, 4, 0, -176, 0, 0, 0, 48, 0, 0, 0, 0, -322, 136, 0, 80, 52, 0, 0, 0, 0, -336, 0, 0, 0, -72, 0, 228, -282, 0, 0, -256, 0, 68, 0, 0, -192, 16, 0, 0, -18, 0, 0, -44, 0, 400, 0, 0, -312, 0, 0, 16, -210, 0, 0, 108, 0, 300, 0, 0, -192, 0, 0, 432, 0, 0, 0, 96, 0, 0, 0, 0, -256, 52, 0, 232, -168, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -8, -2, 0, 0, -16, 0, 320, 0, 0, 226, -96, 0, 0, 58, 0, 0, 16, 0, 112, 0, 0, 38, 0, 0, 176, -6, 0, 0, 80, 0, -128, 0, 0, 142, 228, 0, -64, 0, 0, 0, 88, 0, 0, 0, 0, 294, 152, 0, -352, -304, 0, 0, 0, 0, -112, 0, 0, 0, -64, 0, -96, 96, 0, 0, 96, 0, -420, 0, 0, 220, -104, 0, 0, -152, 0, 0, -80, 0, -208, 0, 0, 288, 0, 0, -64, 112, 0, 0, 104, 0, -20, 0, 0, -2, 224, 0, -200, 0, 0, 0, 84, 0, 0, 0, 0, 350, 112, 0, 0, 172, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 48, 198, 0, 0, -32, 0, 0, 0, 0, 358, -28, 0, 0, 306, 0, 0, -48, 0, 340, 0, 0, 128, 0, 0, -32, 258, 0, 0, -36, 0, 272, 0, 0, 50, -96, 0, 224, 0, 0, 0, -8, 0, 0, 0, 0, 14, -16, 0, 356], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 44451261
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18015085737803956, 'source_is_minimal': False, 'source_label': '180.2.k.e.127.5', 'source_level': 180, 'target_conrey_index': 127, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18015085737803956, 'target_is_minimal': False, 'target_label': '180.2.k.e.127.5', 'target_level': 180, 'twist_class_label': '60.2.j.a.7.2', 'twist_class_level': 60, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44451262
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18015085737803956, 'source_is_minimal': False, 'source_label': '180.2.k.e.127.5', 'source_level': 180, 'target_conrey_index': 7, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 618508845116, 'target_is_minimal': True, 'target_label': '60.2.j.a.7.2', 'target_level': 60, 'twist_class_label': '60.2.j.a.7.2', 'twist_class_level': 60, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44451263
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18015085737803956, 'source_is_minimal': False, 'source_label': '180.2.k.e.127.5', 'source_level': 180, 'target_conrey_index': 127, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015085737803956, 'target_is_minimal': False, 'target_label': '180.2.k.e.127.2', 'target_level': 180, 'twist_class_label': '60.2.j.a.7.2', 'twist_class_level': 60, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44451264
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18015085737803956, 'source_is_minimal': False, 'source_label': '180.2.k.e.127.5', 'source_level': 180, 'target_conrey_index': 343, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 58547482384139140, 'target_is_minimal': False, 'target_label': '900.2.k.n.343.5', 'target_level': 900, 'twist_class_label': '60.2.j.a.7.2', 'twist_class_level': 60, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44451265
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18015085737803956, 'source_is_minimal': False, 'source_label': '180.2.k.e.127.5', 'source_level': 180, 'target_conrey_index': 163, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015085737803956, 'target_is_minimal': False, 'target_label': '180.2.k.e.163.2', 'target_level': 180, 'twist_class_label': '60.2.j.a.7.2', 'twist_class_level': 60, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44451266
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18015085737803956, 'source_is_minimal': False, 'source_label': '180.2.k.e.127.5', 'source_level': 180, 'target_conrey_index': 307, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547482384139140, 'target_is_minimal': False, 'target_label': '900.2.k.n.307.2', 'target_level': 900, 'twist_class_label': '60.2.j.a.7.2', 'twist_class_level': 60, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44451267
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18015085737803956, 'source_is_minimal': False, 'source_label': '180.2.k.e.127.5', 'source_level': 180, 'target_conrey_index': 7, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 618508845116, 'target_is_minimal': True, 'target_label': '60.2.j.a.7.5', 'target_level': 60, 'twist_class_label': '60.2.j.a.7.2', 'twist_class_level': 60, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 44451268
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18015085737803956, 'source_is_minimal': False, 'source_label': '180.2.k.e.127.5', 'source_level': 180, 'target_conrey_index': 43, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511417390956844, 'target_is_minimal': False, 'target_label': '300.2.j.d.43.2', 'target_level': 300, 'twist_class_label': '60.2.j.a.7.2', 'twist_class_level': 60, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44451269
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18015085737803956, 'source_is_minimal': False, 'source_label': '180.2.k.e.127.5', 'source_level': 180, 'target_conrey_index': 43, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 618508845116, 'target_is_minimal': True, 'target_label': '60.2.j.a.43.5', 'target_level': 60, 'twist_class_label': '60.2.j.a.7.2', 'twist_class_level': 60, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 44451270
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18015085737803956, 'source_is_minimal': False, 'source_label': '180.2.k.e.127.5', 'source_level': 180, 'target_conrey_index': 7, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13511417390956844, 'target_is_minimal': False, 'target_label': '300.2.j.d.7.5', 'target_level': 300, 'twist_class_label': '60.2.j.a.7.2', 'twist_class_level': 60, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 44451271
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18015085737803956, 'source_is_minimal': False, 'source_label': '180.2.k.e.127.5', 'source_level': 180, 'target_conrey_index': 163, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18015085737803956, 'target_is_minimal': False, 'target_label': '180.2.k.e.163.5', 'target_level': 180, 'twist_class_label': '60.2.j.a.7.2', 'twist_class_level': 60, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44451272
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18015085737803956, 'source_is_minimal': False, 'source_label': '180.2.k.e.127.5', 'source_level': 180, 'target_conrey_index': 343, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547482384139140, 'target_is_minimal': False, 'target_label': '900.2.k.n.343.2', 'target_level': 900, 'twist_class_label': '60.2.j.a.7.2', 'twist_class_level': 60, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 44451273
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18015085737803956, 'source_is_minimal': False, 'source_label': '180.2.k.e.127.5', 'source_level': 180, 'target_conrey_index': 307, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 58547482384139140, 'target_is_minimal': False, 'target_label': '900.2.k.n.307.5', 'target_level': 900, 'twist_class_label': '60.2.j.a.7.2', 'twist_class_level': 60, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 44451274
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18015085737803956, 'source_is_minimal': False, 'source_label': '180.2.k.e.127.5', 'source_level': 180, 'target_conrey_index': 127, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27023109626266560, 'target_is_minimal': False, 'target_label': '960.2.w.g.127.2', 'target_level': 960, 'twist_class_label': '60.2.j.a.7.2', 'twist_class_level': 60, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 44451275
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18015085737803956, 'source_is_minimal': False, 'source_label': '180.2.k.e.127.5', 'source_level': 180, 'target_conrey_index': 127, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27023109626266560, 'target_is_minimal': False, 'target_label': '960.2.w.g.127.5', 'target_level': 960, 'twist_class_label': '60.2.j.a.7.2', 'twist_class_level': 60, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 44451276
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18015085737803956, 'source_is_minimal': False, 'source_label': '180.2.k.e.127.5', 'source_level': 180, 'target_conrey_index': 43, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 618508845116, 'target_is_minimal': True, 'target_label': '60.2.j.a.43.2', 'target_level': 60, 'twist_class_label': '60.2.j.a.7.2', 'twist_class_level': 60, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 44451277
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18015085737803956, 'source_is_minimal': False, 'source_label': '180.2.k.e.127.5', 'source_level': 180, 'target_conrey_index': 43, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13511417390956844, 'target_is_minimal': False, 'target_label': '300.2.j.d.43.5', 'target_level': 300, 'twist_class_label': '60.2.j.a.7.2', 'twist_class_level': 60, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 44451278
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18015085737803956, 'source_is_minimal': False, 'source_label': '180.2.k.e.127.5', 'source_level': 180, 'target_conrey_index': 7, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511417390956844, 'target_is_minimal': False, 'target_label': '300.2.j.d.7.2', 'target_level': 300, 'twist_class_label': '60.2.j.a.7.2', 'twist_class_level': 60, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 44451279
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18015085737803956, 'source_is_minimal': False, 'source_label': '180.2.k.e.127.5', 'source_level': 180, 'target_conrey_index': 703, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27023109626266560, 'target_is_minimal': False, 'target_label': '960.2.w.g.703.5', 'target_level': 960, 'twist_class_label': '60.2.j.a.7.2', 'twist_class_level': 60, 'twisting_char_label': '120.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 44451280
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18015085737803956, 'source_is_minimal': False, 'source_label': '180.2.k.e.127.5', 'source_level': 180, 'target_conrey_index': 703, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27023109626266560, 'target_is_minimal': False, 'target_label': '960.2.w.g.703.2', 'target_level': 960, 'twist_class_label': '60.2.j.a.7.2', 'twist_class_level': 60, 'twisting_char_label': '120.83', 'twisting_conrey_index': 83, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 459225
{'charpoly_factorization': [[[64, 0, 0, -32, -12, 8, 8, 4, -3, -4, 0, 0, 1], 1]], 'hecke_orbit_code': 18015085737803956, 'p': 2}
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id: 459226
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 18015085737803956, 'p': 3}
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id: 459227
{'charpoly_factorization': [[[125, 0, 25, -8, 5, 0, 1], 2]], 'hecke_orbit_code': 18015085737803956, 'p': 5}
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id: 459228
{'charpoly_factorization': [[[4096, 0, 0, 0, 7440, 0, 0, 0, 200, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18015085737803956, 'p': 7}
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id: 459229
{'charpoly_factorization': [[[128, 0, 260, 0, 36, 0, 1], 2]], 'hecke_orbit_code': 18015085737803956, 'p': 11}
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id: 459230
{'charpoly_factorization': [[[32, -96, 144, -32, 2, 2, 1], 2]], 'hecke_orbit_code': 18015085737803956, 'p': 13}
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id: 459231
{'charpoly_factorization': [[[800, 160, 16, -80, 50, -10, 1], 2]], 'hecke_orbit_code': 18015085737803956, 'p': 17}
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id: 459232
{'charpoly_factorization': [[[-512, 0, 400, 0, -40, 0, 1], 2]], 'hecke_orbit_code': 18015085737803956, 'p': 19}
-
id: 459233
{'charpoly_factorization': [[[65536, 0, 0, 0, 37120, 0, 0, 0, 4640, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18015085737803956, 'p': 23}
-
id: 459234
{'charpoly_factorization': [[[64, 0, 100, 0, 20, 0, 1], 2]], 'hecke_orbit_code': 18015085737803956, 'p': 29}
-
id: 459235
{'charpoly_factorization': [[[32768, 0, 3648, 0, 112, 0, 1], 2]], 'hecke_orbit_code': 18015085737803956, 'p': 31}
-
id: 459236
{'charpoly_factorization': [[[32, 96, 144, 32, 2, -2, 1], 2]], 'hecke_orbit_code': 18015085737803956, 'p': 37}
-
id: 459237
{'charpoly_factorization': [[[-64, -20, 4, 1], 4]], 'hecke_orbit_code': 18015085737803956, 'p': 41}
-
id: 459238
{'charpoly_factorization': [[[15352201216, 0, 0, 0, 24350720, 0, 0, 0, 9600, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18015085737803956, 'p': 43}
-
id: 459239
{'charpoly_factorization': [[[40960000, 0, 0, 0, 901376, 0, 0, 0, 4896, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18015085737803956, 'p': 47}
-
id: 459240
{'charpoly_factorization': [[[128, 256, 256, -16, 2, 2, 1], 2]], 'hecke_orbit_code': 18015085737803956, 'p': 53}
-
id: 459241
{'charpoly_factorization': [[[-512, 0, 1860, 0, -100, 0, 1], 2]], 'hecke_orbit_code': 18015085737803956, 'p': 59}
-
id: 459242
{'charpoly_factorization': [[[176, -100, 8, 1], 4]], 'hecke_orbit_code': 18015085737803956, 'p': 61}
-
id: 459243
{'charpoly_factorization': [[[15352201216, 0, 0, 0, 24350720, 0, 0, 0, 9600, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18015085737803956, 'p': 67}
-
id: 459244
{'charpoly_factorization': [[[204800, 0, 15616, 0, 256, 0, 1], 2]], 'hecke_orbit_code': 18015085737803956, 'p': 71}
-
id: 459245
{'charpoly_factorization': [[[55112, 4648, 196, -640, 242, -22, 1], 2]], 'hecke_orbit_code': 18015085737803956, 'p': 73}
-
id: 459246
{'charpoly_factorization': [[[-2048, 0, 12864, 0, -304, 0, 1], 2]], 'hecke_orbit_code': 18015085737803956, 'p': 79}
-
id: 459247
{'charpoly_factorization': [[[65536, 0, 0, 0, 10264832, 0, 0, 0, 16672, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18015085737803956, 'p': 83}
-
id: 459248
{'charpoly_factorization': [[[1024, 0, 1040, 0, 72, 0, 1], 2]], 'hecke_orbit_code': 18015085737803956, 'p': 89}
-
id: 459249
{'charpoly_factorization': [[[35912, -47704, 31684, -2048, 50, 10, 1], 2]], 'hecke_orbit_code': 18015085737803956, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 5, 'label': '180.2.k.e', 'level': 180, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
-
id: 41299327
{'hecke_orbit_code': 18015085737803956, 'n': 1, 'trace_an': 12}
-
id: 41299328
{'hecke_orbit_code': 18015085737803956, 'n': 2, 'trace_an': 0}
-
id: 41299329
{'hecke_orbit_code': 18015085737803956, 'n': 3, 'trace_an': 0}
-
id: 41299330
{'hecke_orbit_code': 18015085737803956, 'n': 4, 'trace_an': 0}
-
id: 41299331
{'hecke_orbit_code': 18015085737803956, 'n': 5, 'trace_an': 0}
-
id: 41299332
{'hecke_orbit_code': 18015085737803956, 'n': 6, 'trace_an': 0}
-
id: 41299333
{'hecke_orbit_code': 18015085737803956, 'n': 7, 'trace_an': 0}
-
id: 41299334
{'hecke_orbit_code': 18015085737803956, 'n': 8, 'trace_an': 12}
-
id: 41299335
{'hecke_orbit_code': 18015085737803956, 'n': 9, 'trace_an': 0}
-
id: 41299336
{'hecke_orbit_code': 18015085737803956, 'n': 10, 'trace_an': -8}
-
id: 41299337
{'hecke_orbit_code': 18015085737803956, 'n': 11, 'trace_an': 0}
-
id: 41299338
{'hecke_orbit_code': 18015085737803956, 'n': 12, 'trace_an': 0}
-
id: 41299339
{'hecke_orbit_code': 18015085737803956, 'n': 13, 'trace_an': -4}
-
id: 41299340
{'hecke_orbit_code': 18015085737803956, 'n': 14, 'trace_an': 0}
-
id: 41299341
{'hecke_orbit_code': 18015085737803956, 'n': 15, 'trace_an': 0}
-
id: 41299342
{'hecke_orbit_code': 18015085737803956, 'n': 16, 'trace_an': 12}
-
id: 41299343
{'hecke_orbit_code': 18015085737803956, 'n': 17, 'trace_an': 20}
-
id: 41299344
{'hecke_orbit_code': 18015085737803956, 'n': 18, 'trace_an': 0}
-
id: 41299345
{'hecke_orbit_code': 18015085737803956, 'n': 19, 'trace_an': 0}
-
id: 41299346
{'hecke_orbit_code': 18015085737803956, 'n': 20, 'trace_an': -20}
-
id: 41299347
{'hecke_orbit_code': 18015085737803956, 'n': 21, 'trace_an': 0}
-
id: 41299348
{'hecke_orbit_code': 18015085737803956, 'n': 22, 'trace_an': 12}
-
id: 41299349
{'hecke_orbit_code': 18015085737803956, 'n': 23, 'trace_an': 0}
-
id: 41299350
{'hecke_orbit_code': 18015085737803956, 'n': 24, 'trace_an': 0}
-
id: 41299351
{'hecke_orbit_code': 18015085737803956, 'n': 25, 'trace_an': -20}
-
id: 41299352
{'hecke_orbit_code': 18015085737803956, 'n': 26, 'trace_an': -16}
-
id: 41299353
{'hecke_orbit_code': 18015085737803956, 'n': 27, 'trace_an': 0}
-
id: 41299354
{'hecke_orbit_code': 18015085737803956, 'n': 28, 'trace_an': -4}
-
id: 41299355
{'hecke_orbit_code': 18015085737803956, 'n': 29, 'trace_an': 0}
-
id: 41299356
{'hecke_orbit_code': 18015085737803956, 'n': 30, 'trace_an': 0}
-
id: 41299357
{'hecke_orbit_code': 18015085737803956, 'n': 31, 'trace_an': 0}
-
id: 41299358
{'hecke_orbit_code': 18015085737803956, 'n': 32, 'trace_an': -20}
-
id: 41299359
{'hecke_orbit_code': 18015085737803956, 'n': 33, 'trace_an': 0}
-
id: 41299360
{'hecke_orbit_code': 18015085737803956, 'n': 34, 'trace_an': 0}
-
id: 41299361
{'hecke_orbit_code': 18015085737803956, 'n': 35, 'trace_an': 0}
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id: 41299362
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