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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': 12, 'field_disc': 17213603549184, 'field_disc_factorization': [[2, 12], [3, 6], [7, 8]], 'field_poly': [1, 0, -6, 0, 31, 0, -28, 0, 19, 0, -5, 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': [[2, [28561, 0, -15886, 0, 5963, 0, -1260, 0, 195, 0, -17, 0, 1]], [5, [169, 0, 181, 0, 26, 0, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029415527809531, 'hecke_ring_generator_nbound': 5, '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, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '507.2.j.i', '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, 'minimal_twist': '507.2.a.i', 'nf_label': '12.0.17213603549184.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(-\\beta _{1}+\\beta _{8}+2\\beta _{11})q^{2}+\\beta _{7}q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '507.2.j', 'trace_display': [0, 6, 0, 0], 'trace_hash': 1710708024908632785, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.035', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.543', 'prec': 20}, 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mf_hecke_cc • Show schema
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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: 46682747
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029415527809531, 'source_is_minimal': False, 'source_label': '507.2.j.i.361.1', 'source_level': 507, 'target_conrey_index': 361, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029415527809531, 'target_is_minimal': False, 'target_label': '507.2.j.i.361.1', 'target_level': 507, 'twist_class_label': '507.2.a.i.1.1', 'twist_class_level': 507, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46682748
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029415527809531, 'source_is_minimal': False, 'source_label': '507.2.j.i.361.1', 'source_level': 507, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052518907, 'target_is_minimal': True, 'target_label': '507.2.a.i.1.1', 'target_level': 507, 'twist_class_label': '507.2.a.i.1.1', 'twist_class_level': 507, 'twisting_char_label': '13.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46682749
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029415527809531, 'source_is_minimal': False, 'source_label': '507.2.j.i.361.1', 'source_level': 507, 'target_conrey_index': 337, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518066889884155, 'target_is_minimal': False, 'target_label': '507.2.b.f.337.1', 'target_level': 507, 'twist_class_label': '507.2.a.i.1.1', 'twist_class_level': 507, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46682750
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029415527809531, 'source_is_minimal': False, 'source_label': '507.2.j.i.361.1', 'source_level': 507, 'target_conrey_index': 316, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029415527809531, 'target_is_minimal': False, 'target_label': '507.2.j.i.316.1', 'target_level': 507, 'twist_class_label': '507.2.a.i.1.1', 'twist_class_level': 507, 'twisting_char_label': '13.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46682751
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029415527809531, 'source_is_minimal': False, 'source_label': '507.2.j.i.361.1', 'source_level': 507, 'target_conrey_index': 484, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 49539870812537339, 'target_is_minimal': False, 'target_label': '507.2.e.l.484.3', 'target_level': 507, 'twist_class_label': '507.2.a.i.1.1', 'twist_class_level': 507, 'twisting_char_label': '13.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46682752
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029415527809531, 'source_is_minimal': False, 'source_label': '507.2.j.i.361.1', 'source_level': 507, 'target_conrey_index': 22, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 49539870812537339, 'target_is_minimal': False, 'target_label': '507.2.e.l.22.3', 'target_level': 507, 'twist_class_label': '507.2.a.i.1.1', 'twist_class_level': 507, 'twisting_char_label': '13.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 46682753
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029415527809531, 'source_is_minimal': False, 'source_label': '507.2.j.i.361.1', 'source_level': 507, 'target_conrey_index': 22, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071930425851, 'target_is_minimal': False, 'target_label': '507.2.e.i.22.1', 'target_level': 507, 'twist_class_label': '507.2.a.i.1.1', 'twist_class_level': 507, 'twisting_char_label': '13.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46682754
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029415527809531, 'source_is_minimal': False, 'source_label': '507.2.j.i.361.1', 'source_level': 507, 'target_conrey_index': 484, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071930425851, 'target_is_minimal': False, 'target_label': '507.2.e.i.484.1', 'target_level': 507, 'twist_class_label': '507.2.a.i.1.1', 'twist_class_level': 507, 'twisting_char_label': '13.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 46682755
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029415527809531, 'source_is_minimal': False, 'source_label': '507.2.j.i.361.1', 'source_level': 507, 'target_conrey_index': 316, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 36029415527809531, 'target_is_minimal': False, 'target_label': '507.2.j.i.316.6', 'target_level': 507, 'twist_class_label': '507.2.a.i.1.1', 'twist_class_level': 507, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 46682756
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029415527809531, 'source_is_minimal': False, 'source_label': '507.2.j.i.361.1', 'source_level': 507, 'target_conrey_index': 337, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 22518066889884155, 'target_is_minimal': False, 'target_label': '507.2.b.f.337.6', 'target_level': 507, 'twist_class_label': '507.2.a.i.1.1', 'twist_class_level': 507, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 46682757
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029415527809531, 'source_is_minimal': False, 'source_label': '507.2.j.i.361.1', 'source_level': 507, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 49539595934630395, 'target_is_minimal': True, 'target_label': '507.2.a.l.1.3', 'target_level': 507, 'twist_class_label': '507.2.a.i.1.1', 'twist_class_level': 507, 'twisting_char_label': '13.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46682758
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029415527809531, 'source_is_minimal': False, 'source_label': '507.2.j.i.361.1', 'source_level': 507, 'target_conrey_index': 361, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 36029415527809531, 'target_is_minimal': False, 'target_label': '507.2.j.i.361.6', 'target_level': 507, 'twist_class_label': '507.2.a.i.1.1', 'twist_class_level': 507, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 46682759
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029415527809531, 'source_is_minimal': False, 'source_label': '507.2.j.i.361.1', 'source_level': 507, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 81064793326224881, 'target_is_minimal': False, 'target_label': '1521.2.a.s.1.3', 'target_level': 1521, 'twist_class_label': '507.2.a.i.1.1', 'twist_class_level': 507, 'twisting_char_label': '39.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46682760
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029415527809531, 'source_is_minimal': False, 'source_label': '507.2.j.i.361.1', 'source_level': 507, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189372401, 'target_is_minimal': False, 'target_label': '1521.2.a.n.1.1', 'target_level': 1521, 'twist_class_label': '507.2.a.i.1.1', 'twist_class_level': 507, 'twisting_char_label': '39.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46682761
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029415527809531, 'source_is_minimal': False, 'source_label': '507.2.j.i.361.1', 'source_level': 507, 'target_conrey_index': 1351, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036065026737649, 'target_is_minimal': False, 'target_label': '1521.2.b.k.1351.1', 'target_level': 1521, 'twist_class_label': '507.2.a.i.1.1', 'twist_class_level': 507, 'twisting_char_label': '39.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 46682762
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029415527809531, 'source_is_minimal': False, 'source_label': '507.2.j.i.361.1', 'source_level': 507, 'target_conrey_index': 1351, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 45036065026737649, 'target_is_minimal': False, 'target_label': '1521.2.b.k.1351.6', 'target_level': 1521, 'twist_class_label': '507.2.a.i.1.1', 'twist_class_level': 507, 'twisting_char_label': '39.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 46682763
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029415527809531, 'source_is_minimal': False, 'source_label': '507.2.j.i.361.1', 'source_level': 507, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 301741175067385776, 'target_is_minimal': False, 'target_label': '8112.2.a.cp.1.1', 'target_level': 8112, 'twist_class_label': '507.2.a.i.1.1', 'twist_class_level': 507, 'twisting_char_label': '52.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46682764
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029415527809531, 'source_is_minimal': False, 'source_label': '507.2.j.i.361.1', 'source_level': 507, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 261208778421051312, 'target_is_minimal': False, 'target_label': '8112.2.a.cg.1.3', 'target_level': 8112, 'twist_class_label': '507.2.a.i.1.1', 'twist_class_level': 507, 'twisting_char_label': '52.15', 'twisting_conrey_index': 15, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 980775
{'charpoly_factorization': [[[28561, 0, -15886, 0, 5963, 0, -1260, 0, 195, 0, -17, 0, 1], 1]], 'hecke_orbit_code': 36029415527809531, 'p': 2}
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id: 980776
{'charpoly_factorization': [[[1, -1, 1], 6]], 'hecke_orbit_code': 36029415527809531, 'p': 3}
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id: 980777
{'charpoly_factorization': [[[169, 0, 181, 0, 26, 0, 1], 2]], 'hecke_orbit_code': 36029415527809531, 'p': 5}
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id: 980778
{'charpoly_factorization': [[[1, 0, -5, 0, 19, 0, -28, 0, 31, 0, -6, 0, 1], 1]], 'hecke_orbit_code': 36029415527809531, 'p': 7}
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id: 980779
{'charpoly_factorization': [[[2825761, 0, -796794, 0, 155755, 0, -16072, 0, 1207, 0, -41, 0, 1], 1]], 'hecke_orbit_code': 36029415527809531, 'p': 11}
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id: 980780
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 36029415527809531, 'p': 13}
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id: 980781
{'charpoly_factorization': [[[169, -208, 243, -42, 17, 1, 1], 2]], 'hecke_orbit_code': 36029415527809531, 'p': 17}
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id: 980782
{'charpoly_factorization': [[[2401, 0, -4802, 0, 8575, 0, -1960, 0, 343, 0, -21, 0, 1], 1]], 'hecke_orbit_code': 36029415527809531, 'p': 19}
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id: 980783
{'charpoly_factorization': [[[8281, -4459, 2401, -182, 49, 0, 1], 2]], 'hecke_orbit_code': 36029415527809531, 'p': 23}
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id: 980784
{'charpoly_factorization': [[[841, -435, 283, -28, 19, -2, 1], 2]], 'hecke_orbit_code': 36029415527809531, 'p': 29}
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id: 980785
{'charpoly_factorization': [[[38809, 0, 7985, 0, 174, 0, 1], 2]], 'hecke_orbit_code': 36029415527809531, 'p': 31}
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id: 980786
{'charpoly_factorization': [[[20200652641, 0, -1235527397, 0, 51974835, 0, -1158780, 0, 18863, 0, -166, 0, 1], 1]], 'hecke_orbit_code': 36029415527809531, 'p': 37}
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id: 980787
{'charpoly_factorization': [[[707281, 0, -1020974, 0, 1412403, 0, -86940, 0, 4115, 0, -73, 0, 1], 1]], 'hecke_orbit_code': 36029415527809531, 'p': 41}
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id: 980788
{'charpoly_factorization': [[[1681, 1927, 1594, 623, 178, 15, 1], 2]], 'hecke_orbit_code': 36029415527809531, 'p': 43}
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id: 980789
{'charpoly_factorization': [[[49, 0, 98, 0, 21, 0, 1], 2]], 'hecke_orbit_code': 36029415527809531, 'p': 47}
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id: 980790
{'charpoly_factorization': [[[-41, 66, 17, 1], 4]], 'hecke_orbit_code': 36029415527809531, 'p': 53}
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id: 980791
{'charpoly_factorization': [[[116985856, 0, -16267264, 0, 1526528, 0, -80640, 0, 3120, 0, -68, 0, 1], 1]], 'hecke_orbit_code': 36029415527809531, 'p': 59}
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id: 980792
{'charpoly_factorization': [[[27889, -2672, 2427, -126, 185, -13, 1], 2]], 'hecke_orbit_code': 36029415527809531, 'p': 61}
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id: 980793
{'charpoly_factorization': [[[2825761, 0, -2040734, 0, 1115743, 0, -255220, 0, 44155, 0, -213, 0, 1], 1]], 'hecke_orbit_code': 36029415527809531, 'p': 67}
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id: 980794
{'charpoly_factorization': [[[1698181681, 0, -341251729, 0, 61074923, 0, -1424724, 0, 24843, 0, -182, 0, 1], 1]], 'hecke_orbit_code': 36029415527809531, 'p': 71}
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id: 980795
{'charpoly_factorization': [[[851929, 0, 29301, 0, 306, 0, 1], 2]], 'hecke_orbit_code': 36029415527809531, 'p': 73}
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id: 980796
{'charpoly_factorization': [[[27, -18, -3, 1], 4]], 'hecke_orbit_code': 36029415527809531, 'p': 79}
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id: 980797
{'charpoly_factorization': [[[1849, 0, 649, 0, 62, 0, 1], 2]], 'hecke_orbit_code': 36029415527809531, 'p': 83}
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id: 980798
{'charpoly_factorization': [[[163047361, 0, -130575794, 0, 102004507, 0, -2029888, 0, 30175, 0, -201, 0, 1], 1]], 'hecke_orbit_code': 36029415527809531, 'p': 89}
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id: 980799
{'charpoly_factorization': [[[7181161893361, 0, -255465058539, 0, 7514975158, 0, -50599759, 0, 249238, 0, -587, 0, 1], 1]], 'hecke_orbit_code': 36029415527809531, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 10, 'hecke_orbit': 9, 'label': '507.2.j.i', 'level': 507, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 202209000
{'hecke_orbit_code': 36029415527809531, 'n': 1, 'trace_an': 12}
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id: 202209001
{'hecke_orbit_code': 36029415527809531, 'n': 2, 'trace_an': 0}
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id: 202209002
{'hecke_orbit_code': 36029415527809531, 'n': 3, 'trace_an': 6}
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