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mf_newforms • Show schema
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{'Nk2': 2028, 'analytic_conductor': 4.0484153824789155, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 6, 'char_parity': 1, 'char_values': [507, 6, [170, 340], [6, 1]], 'cm_discs': [], 'conrey_index': 316, 'conrey_indexes': [316, 361], 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, -1, 0, 1]], [5, [1, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511417390957051, 'hecke_ring_generator_nbound': 2, '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, 13, 2, 1, 2, 0], [1, 1, 13, 3, 1, 3, 0], [1, 1, 13, 5, 1, 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mf_hecke_cc • Show schema
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0.8660254037844386, 'hecke_orbit': 4, 'hecke_orbit_code': 13511417390957051, 'label': '507.2.j.d.316.2', 'level': 507, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2028, 'analytic_conductor': 4.0484153824789155, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 6, 'char_parity': 1, 'char_values': [507, 6, [170, 340], [6, 1]], 'conrey_index': 316, 'cusp_dim': 94, 'dim': 54, 'eis_dim': 56, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 618508845563, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 8, 8, 12, 12], 'label': '507.2.j', 'level': 507, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'mf_dim': 150, 'mf_new_dim': 54, 'num_forms': 9, 'prim_orbit_index': 5, 'relative_dim': 27, 'sturm_bound': 121, 'trace_bound': 10, 'trace_display': [0, -1, 0, 3], 'traces': [54, 0, -1, 30, 0, 0, 3, 0, -27, -4, 6, 12, 0, -8, -6, -20, -4, 0, -6, -12, 0, 8, -10, 0, -34, 0, 2, -6, 14, -4, 0, 0, 6, 0, 10, 30, 0, 8, 0, -24, 12, 0, -13, 0, -6, 0, 0, 4, 24, 0, 8, 0, -56, 0, 0, -12, 0, 0, 6, 0, 17, -16, -3, -32, 0, -8, -15, 24, 2, 0, 18, 0, 0, 12, -1, 12, 20, 0, -2, 24, -27, -20, 0, -6, 0, 0, -2, -24, -12, 8, 0, -32, -3, 12, -32, 0, 9, 0, 0, -18, -34, 0, 34, 0, 4, 0, 14, -6, 0, 0, 0, 0, 18, -4, -36, 32, 0, -40, 0, 12, 15, 0, 12, -6, 0, 4, 45, 0, -106, 0, -36, -12, -26, -24, 0, 0, 0, 0, -27, -36, -6, 88, 0, 40, 36, 40, 48, 0, 12, 0, 0, 56, -4, 0, 68, 0, 34, 0, -4, -60, 0, 0, 33, 0, 28, -32, 12, 32, 0, 248, 6, 58, 134, 0, -21, -24, 0, -132, -8, 12, 36, 0, 90, 0, -148, -16, 0, -12, -3, 0, 10, -28, 27, -272, 0, -112, -24, 8, 31, 0, -15, 0, 0, 16, 104, 0, 20, 0, -56, 0, 45, -52, 0, 0, 6, 0, -13, 100, -3, 216, 0, -40, -30, 72, 17, 0, -36, 12, 0, 84, -26, 0, -204, 0, -48, -12, -25, -68, 0, 24, -36, 0, -1, -78, 24, 40, 0, -160, 24, -100, -28, 0, 36, 0, 0, 64, -40, 0, -48, 0, -28, 0, 48, -28, 0, 0, -12, 0, -136, -4, 9, 192, 0, -168, -42, 44, -58, 0, -3, 0, 0, 12, 5, -36, -8, 0, -120, 0, 11, 88, 0, -6, 30, 0, 76, 252, -6, -560, 0, -100, 3, -268, 6, 0, -6, 0, 0, -212, 45, 0, 168, 0, 222, 0, 10, 218, 0, 0, -36, 0, 22, -80, 0, -60, 0, 544, 27, 92, -62, 0, -9, 48, 0, 64, -18, 12, -6, 0, -36, 0, 54, -4, 0, 0, -36, 0, 40, -40, 33, 256, 0, 504, -18, 28, -8, 0, 0, 0, 0, 12, -25, 0, 30, 0, 204, 0, 17, 208, 0, 0, 36, 0, 61, -116, 12, 216, 0, 0, 39, 104, -37, 0, -48, 0, 0, -236, -13, -18, 144, 0, -168, 0, 14, 88, 0, -12, -27, 0, -42, -156, 0, 80, 0, -120, 6, -208, -60, 0, -15, 0, 0, 110, -86, 0, 40, 0, -22, 0, 36, -64, 0, 0, -6, 0, -96, -36, -3, -392, 0, -248, -36, 4, -51, 0, 36, 54, 0, 32, -29, 0, -48, 0, -176, 0, 120, -116, 0, 24, -66, 0, 36, 252, 6, 176, 0, -96, 63, -72, -4, 0, 72, 0, 0, 156, -18, 0, 100, 0, -10, 0, 13, -124, 0, 0, 42, 0, 28, 232, -60, 120, 0, -248, -18, 110, -82, 0, 42, 0, 0, 164, -62, -24, -176, 0, 0, 12, 66, -44, 0, 24, 12, 0, 38, -12, -108, -440, 0, 100, 30, 52, 147, 0, 6, 0, 0, -182, -108, 0, 44, 0, -104, 0, -180, -108, 0, 0, 0, 0, 57, 8, -6, -120, 0, -104, -36, -180, -32, 0, -24, 12, 0, 136, 186, 0, 68, 0, -2, 0, 17, -196, 0, 0, -33, 0, 36, 74, 48, 32, 0, -544, 0, 108, -146, 0, -36, 0, 0, -152, 62, 0, -152, 0, -84, 0, 186, 16, 0, 0, 27, 0, 80, -60, 72, 304, 0, -296, 54, -180, -46, 0, -24, 0, 0, 4, -140, -24, 94, 0, -76, 0, 54, 160, 0, 12, 6, 0, -128, -196, 18, 48, 0, -48, -15, 160, -16, 0, 18, 0, 0, 192, 2, 0, 248, 0, -178, 0, 44, 86, 0, 0, -3, 0, -25, 224, 78, -512, 0, 320, -18, -80, -78, 0, -33, -36, 0, -152, -110, 0, 216, 0, 390, -66, -16, 288, 0, -48, -3, 0, 172, -48, 45, 296, 0, 312, 36, 12, -168, 0, -30, 0, 0, 84, -105, 0, 2, 0, 672, 0, 43, 264, 0, 0, -42, 0, -396, -188, -48, 448, 0, 568, -75, -340, -10, 0, -30, 0, 0, -28, -26, 42, -784, 0, 208, 48, 60, 168, 0, -12, 33, 0, 1, 288, -18, 112, 0, 264, 0, 188, -94, 0, -3, 0, 0, -88, 314, 0, 206, 0, 54, 0, 112, 158, 0, 0, 24, 0, 154, -20, -78, -560, 0, -360, 18, -276, 68, 0, 24, 0, 0, 80, -104, 24, 96, 0, -352, 6, -354, 176, 0, 0, 36, 0, -135, -264, 0, -264, 0, -112, 12, 280, -48, 0, 90, 0, 0, -308, 12, 0, 288, 0, -344, 0, -2, -260, 0, 0, -57, 0, 44, 116, -18, 48, 0, -24, -72, -34, 412, 0, 0, 0, 0, -152, 210, 30, -224, 0, -88, 0, -200, -4, 0, 36, 9, 0, -102, 252, -6, 416, 0, 576, -42, 60, 248, 0, -42, 0, 0, 16, -33, 0, -388, 0, 328, 0, 120, -308, 0, 0, -54, 0, 127, -176, 42, -284, 0, -24, 3, 0, -37, 0, 0, -36, 0, 200, -32, 0, 212, 0, 374, -12, 40, -188, 0, 0, 36, 0, 57, -66, -66, 200, 0, 448, -9, -116, 116, 0, -72, 0, 0, 292, -168, 0, 186, 0, -72, 0, 122, -104, 0, 0, -6, 0, -208, -68, 72, -32, 0, -120, 18, -18, 340, 0, 3, 0, 0, -256, -8, 72, 68, 0, -240, -24, -116, -176, 0, -96, 18, 0, 116, -356, 3, 392, 0, -208, 0, 220, -17, 0, 36, 0, 0, -296, -8, 0, -288, 0, -212, 0, -33, 16, 0, 0, 72, 0, -2, 92, 84, -300, 0, -560, -12, 332, 34, 0, 108, 0, 0, 240, 164, -48, 128, 0, -28, 72, -406, -88, 0, 0, 0, 0, 220, -6, -15, 512, 0, 16, 48, 96, -144, 0, 27, 0, 0, 108, 252, 0, 156, 0, -340, 0, -84, -348, 0, 0, -42, 0, 151, 140, 0, -352], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43400686
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 316, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511417390957051, 'target_is_minimal': False, 'target_label': '507.2.j.d.316.2', 'target_level': 507, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43400687
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 484, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202875, 'target_is_minimal': False, 'target_label': '507.2.e.c.484.1', 'target_level': 507, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '13.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43400688
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511417390957051, 'target_is_minimal': False, 'target_label': '507.2.j.d.361.1', 'target_level': 507, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43400689
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 337, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503668380402171, 'target_is_minimal': False, 'target_label': '507.2.b.b.337.2', 'target_level': 507, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '13.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43400690
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 22, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202875, 'target_is_minimal': False, 'target_label': '507.2.e.c.22.1', 'target_level': 507, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '13.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43400691
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925435, 'target_is_minimal': False, 'target_label': '507.2.a.b.1.1', 'target_level': 507, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '13.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 43400692
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288295931, 'target_is_minimal': False, 'target_label': '507.2.a.c.1.1', 'target_level': 507, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '13.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 43400693
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 22, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461415, 'target_is_minimal': True, 'target_label': '39.2.e.a.22.1', 'target_level': 39, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '13.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 43400694
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 337, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503668380402171, 'target_is_minimal': False, 'target_label': '507.2.b.b.337.1', 'target_level': 507, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 43400695
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511417390957051, 'target_is_minimal': False, 'target_label': '507.2.j.d.361.2', 'target_level': 507, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 43400696
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 16, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461415, 'target_is_minimal': True, 'target_label': '39.2.e.a.16.1', 'target_level': 39, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '13.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43400697
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 316, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511417390957051, 'target_is_minimal': False, 'target_label': '507.2.j.d.316.1', 'target_level': 507, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 43400698
{'conductor': 39, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 100, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977785461, 'target_is_minimal': False, 'target_label': '117.2.g.b.100.1', 'target_level': 117, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '39.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 43400699
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 55, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977785461, 'target_is_minimal': False, 'target_label': '117.2.g.b.55.1', 'target_level': 117, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '39.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43400700
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 1351, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007268007773681, 'target_is_minimal': False, 'target_label': '1521.2.b.c.1351.1', 'target_level': 1521, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '39.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 43400701
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33555953, 'target_is_minimal': False, 'target_label': '1521.2.a.a.1.1', 'target_level': 1521, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '39.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 43400702
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915667441, 'target_is_minimal': False, 'target_label': '1521.2.a.d.1.1', 'target_level': 1521, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '39.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 43400703
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 1351, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007268007773681, 'target_is_minimal': False, 'target_label': '1521.2.b.c.1351.2', 'target_level': 1521, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '39.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 43400704
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079191835713456, 'target_is_minimal': False, 'target_label': '8112.2.a.w.1.1', 'target_level': 8112, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '52.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 43400705
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 289, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008298799923824, 'target_is_minimal': False, 'target_label': '624.2.q.c.289.1', 'target_level': 624, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '52.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43400706
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126100789599936432, 'target_is_minimal': False, 'target_label': '8112.2.a.bc.1.1', 'target_level': 8112, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '52.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 43400707
{'conductor': 52, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 529, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008298799923824, 'target_is_minimal': False, 'target_label': '624.2.q.c.529.1', 'target_level': 624, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '52.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 43400708
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 724, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512654341538767, 'target_is_minimal': False, 'target_label': '975.2.bb.d.724.2', 'target_level': 975, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '65.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 43400709
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 601, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518547926221775, 'target_is_minimal': False, 'target_label': '975.2.i.f.601.1', 'target_level': 975, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '65.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 43400710
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 451, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518547926221775, 'target_is_minimal': False, 'target_label': '975.2.i.f.451.1', 'target_level': 975, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '65.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 43400711
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 874, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512654341538767, 'target_is_minimal': False, 'target_label': '975.2.bb.d.874.2', 'target_level': 975, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '65.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 43400712
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 724, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512654341538767, 'target_is_minimal': False, 'target_label': '975.2.bb.d.724.1', 'target_level': 975, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '65.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 43400713
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 874, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512654341538767, 'target_is_minimal': False, 'target_label': '975.2.bb.d.874.1', 'target_level': 975, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '65.63', 'twisting_conrey_index': 63, 'weight': 2}
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id: 43400714
{'conductor': 156, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 289, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40533702349948752, 'target_is_minimal': False, 'target_label': '1872.2.t.j.289.1', 'target_level': 1872, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '156.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43400715
{'conductor': 156, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 316, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511417390957051, 'source_is_minimal': False, 'source_label': '507.2.j.d.316.2', 'source_level': 507, 'target_conrey_index': 1153, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40533702349948752, 'target_is_minimal': False, 'target_label': '1872.2.t.j.1153.1', 'target_level': 1872, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '156.47', 'twisting_conrey_index': 47, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 980625
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 13511417390957051, 'p': 2}
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id: 980626
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 13511417390957051, 'p': 3}
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id: 980627
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 13511417390957051, 'p': 5}
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id: 980628
{'charpoly_factorization': [[[16, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 13511417390957051, 'p': 7}
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id: 980629
{'charpoly_factorization': [[[16, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 13511417390957051, 'p': 11}
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id: 980630
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511417390957051, 'p': 13}
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id: 980631
{'charpoly_factorization': [[[49, 7, 1], 2]], 'hecke_orbit_code': 13511417390957051, 'p': 17}
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id: 980632
{'charpoly_factorization': [[[1296, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 13511417390957051, 'p': 19}
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id: 980633
{'charpoly_factorization': [[[36, 6, 1], 2]], 'hecke_orbit_code': 13511417390957051, 'p': 23}
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id: 980634
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 13511417390957051, 'p': 29}
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id: 980635
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 13511417390957051, 'p': 31}
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id: 980636
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 13511417390957051, 'p': 37}
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id: 980637
{'charpoly_factorization': [[[6561, 0, -81, 0, 1], 1]], 'hecke_orbit_code': 13511417390957051, 'p': 41}
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id: 980638
{'charpoly_factorization': [[[36, -6, 1], 2]], 'hecke_orbit_code': 13511417390957051, 'p': 43}
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id: 980639
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 13511417390957051, 'p': 47}
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id: 980640
{'charpoly_factorization': [[[9, 1], 4]], 'hecke_orbit_code': 13511417390957051, 'p': 53}
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id: 980641
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511417390957051, 'p': 59}
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id: 980642
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 13511417390957051, 'p': 61}
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id: 980643
{'charpoly_factorization': [[[16, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 13511417390957051, 'p': 67}
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id: 980644
{'charpoly_factorization': [[[1296, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 13511417390957051, 'p': 71}
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id: 980645
{'charpoly_factorization': [[[121, 0, 1], 2]], 'hecke_orbit_code': 13511417390957051, 'p': 73}
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id: 980646
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 13511417390957051, 'p': 79}
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id: 980647
{'charpoly_factorization': [[[196, 0, 1], 2]], 'hecke_orbit_code': 13511417390957051, 'p': 83}
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id: 980648
{'charpoly_factorization': [[[38416, 0, -196, 0, 1], 1]], 'hecke_orbit_code': 13511417390957051, 'p': 89}
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id: 980649
{'charpoly_factorization': [[[16, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 13511417390957051, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 10, 'hecke_orbit': 4, 'label': '507.2.j.d', 'level': 507, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 143612000
{'hecke_orbit_code': 13511417390957051, 'n': 1, 'trace_an': 4}
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id: 143612001
{'hecke_orbit_code': 13511417390957051, 'n': 2, 'trace_an': 0}
-
id: 143612002
{'hecke_orbit_code': 13511417390957051, 'n': 3, 'trace_an': 2}
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id: 143612003
{'hecke_orbit_code': 13511417390957051, 'n': 4, 'trace_an': -2}
-
id: 143612004
{'hecke_orbit_code': 13511417390957051, 'n': 5, 'trace_an': 0}
-
id: 143612005
{'hecke_orbit_code': 13511417390957051, 'n': 6, 'trace_an': 0}
-
id: 143612006
{'hecke_orbit_code': 13511417390957051, 'n': 7, 'trace_an': 0}
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id: 143612007
{'hecke_orbit_code': 13511417390957051, 'n': 8, 'trace_an': 0}
-
id: 143612008
{'hecke_orbit_code': 13511417390957051, 'n': 9, 'trace_an': -2}
-
id: 143612009
{'hecke_orbit_code': 13511417390957051, 'n': 10, 'trace_an': -2}
-
id: 143612010
{'hecke_orbit_code': 13511417390957051, 'n': 11, 'trace_an': 0}
-
id: 143612011
{'hecke_orbit_code': 13511417390957051, 'n': 12, 'trace_an': -4}
-
id: 143612012
{'hecke_orbit_code': 13511417390957051, 'n': 13, 'trace_an': 0}
-
id: 143612013
{'hecke_orbit_code': 13511417390957051, 'n': 14, 'trace_an': 8}
-
id: 143612014
{'hecke_orbit_code': 13511417390957051, 'n': 15, 'trace_an': 0}
-
id: 143612015
{'hecke_orbit_code': 13511417390957051, 'n': 16, 'trace_an': 2}
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id: 143612016
{'hecke_orbit_code': 13511417390957051, 'n': 17, 'trace_an': -14}
-
id: 143612017
{'hecke_orbit_code': 13511417390957051, 'n': 18, 'trace_an': 0}
-
id: 143612018
{'hecke_orbit_code': 13511417390957051, 'n': 19, 'trace_an': 0}
-
id: 143612019
{'hecke_orbit_code': 13511417390957051, 'n': 20, 'trace_an': 0}
-
id: 143612020
{'hecke_orbit_code': 13511417390957051, 'n': 21, 'trace_an': 0}
-
id: 143612021
{'hecke_orbit_code': 13511417390957051, 'n': 22, 'trace_an': 4}
-
id: 143612022
{'hecke_orbit_code': 13511417390957051, 'n': 23, 'trace_an': -12}
-
id: 143612023
{'hecke_orbit_code': 13511417390957051, 'n': 24, 'trace_an': 0}
-
id: 143612024
{'hecke_orbit_code': 13511417390957051, 'n': 25, 'trace_an': 16}
-
id: 143612025
{'hecke_orbit_code': 13511417390957051, 'n': 26, 'trace_an': 0}
-
id: 143612026
{'hecke_orbit_code': 13511417390957051, 'n': 27, 'trace_an': -4}
-
id: 143612027
{'hecke_orbit_code': 13511417390957051, 'n': 28, 'trace_an': 0}
-
id: 143612028
{'hecke_orbit_code': 13511417390957051, 'n': 29, 'trace_an': 2}
-
id: 143612029
{'hecke_orbit_code': 13511417390957051, 'n': 30, 'trace_an': 2}
-
id: 143612030
{'hecke_orbit_code': 13511417390957051, 'n': 31, 'trace_an': 0}
-
id: 143612031
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