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{'Nk2': 33516, 'analytic_conductor': 66.90665185363083, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, -1], [19, -1]], 'atkin_lehner_string': '---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8379, 1, [6518, 7696, 2206], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 5744, 'field_disc_factorization': [[2, 4], [359, 1]], 'field_poly': [1, -2, -5, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [1, 2, -5, 0, 1]], [5, [-65, 32, 12, -8, 1]], [11, [-59, 102, -13, -6, 1]], [13, [-5, 26, -20, 2, 1]], [17, [-125, 228, -23, -8, 1]]], 'hecke_orbit': 48, 'hecke_orbit_code': 211669182519976123, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8379.2.a.bv', 'level': 8379, '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': [3, 7, 19], 'level_radical': 399, 'minimal_twist': '931.2.a.l', 'nf_label': '4.4.5744.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(\\beta _{1}+\\beta _{2}+\\beta _{3})q^{4}+(2+\\beta _{1}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8379.2.a', 'trace_display': [0, 0, 8, 0], 'trace_hash': 856999051032206436, 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'embedding_root_imag': 0.0, 'embedding_root_real': 0.29136689023556783, 'hecke_orbit': 48, 'hecke_orbit_code': 211669182519976123, 'label': '8379.2.a.bv.1.2', 'level': 8379, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [28, 36, 36, 24, 46, 42, 45, 51], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [7, 8, 8, 8, 8, 8, 8, 8], 'ALdims_old': [101, 108, 104, 108, 98, 86, 87, 89], 'Nk2': 33516, 'analytic_conductor': 66.90665185363083, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8379, 1, [6518, 7696, 2206], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1089, 'dim': 308, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 11, 13, 17], 'hecke_orbit_code': 33562811, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 10, 10, 12, 12, 20, 20], 'label': '8379.2.a', 'level': 8379, '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': [3, 7, 19], 'level_radical': 399, 'mf_dim': 1152, 'mf_new_dim': 308, 'num_forms': 76, 'plus_dim': 139, 'prim_orbit_index': 1, 'relative_dim': 308, 'sturm_bound': 2240, 'trace_bound': 17, 'trace_display': [-1, 0, 3, 0], 'traces': [308, -1, 0, 307, 3, 0, 0, -9, 0, -2, -3, 0, 6, 0, 0, 289, 13, 0, -2, -4, 0, 4, -8, 0, 335, -2, 0, 0, 12, 0, -4, 11, 0, 18, 0, 0, -8, 3, 0, 30, 16, 0, -11, -30, 0, -8, 7, 0, 0, 1, 0, 42, 26, 0, -33, 0, 0, 62, -22, 0, -5, -36, 0, 293, 60, 0, 24, -24, 0, 0, -2, 0, -3, 26, 0, -5, 0, 0, -24, -50, 0, 74, 12, 0, 33, 48, 0, 96, 38, 0, 0, -8, 0, 36, -9, 0, 46, 0, 0, 379, 12, 0, 6, -38, 0, 78, 26, 0, -46, -24, 0, 0, 68, 0, 72, 86, 0, -52, 0, 0, 291, 22, 0, 12, -9, 0, 6, 91, 0, 44, 7, 0, 0, 4, 0, -50, -47, 0, -43, 0, 0, 24, -40, 0, 50, -2, 0, -150, 109, 0, -2, 15, 0, 0, -76, 0, -52, 32, 0, 130, 0, 0, 68, 106, 0, 76, 6, 0, 288, 104, 0, 30, 4, 0, 0, 8, 0, -34, -66, 0, -44, 0, 0, -12, 38, 0, 25, 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58, -20, 0, 278, 108, 0, 118, 76, 0, 0, 260, 0, 132, 53, 0, -111, 0, 0, -298, 28, 0, -16, 184, 0, 180, 252, 0, 152, 93, 0, 0, 338, 0, 135, -490, 0, -276, 0, 0, 324, 408, 0, 450, 24, 0, 64, 215, 0, 124, 12, 0, 0, -456, 0, 286, -358, 0, -44, 0, 0, 136, 24, 0, -222, 128, 0, -50, -590, 0, -82, -232, 0, 0, 527, 0, 165, -136, 0, 96], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49021974
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 211669182519976123, 'source_is_minimal': False, 'source_label': '8379.2.a.bv.1.2', 'source_level': 8379, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 211669182519976123, 'target_is_minimal': False, 'target_label': '8379.2.a.bv.1.2', 'target_level': 8379, 'twist_class_label': '931.2.a.l.1.3', 'twist_class_level': 931, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49021975
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 211669182519976123, 'source_is_minimal': False, 'source_label': '8379.2.a.bv.1.2', 'source_level': 8379, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 49539595934630819, 'target_is_minimal': True, 'target_label': '931.2.a.l.1.3', 'target_level': 931, 'twist_class_label': '931.2.a.l.1.3', 'twist_class_level': 931, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49021976
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 211669182519976123, 'source_is_minimal': False, 'source_label': '8379.2.a.bv.1.2', 'source_level': 8379, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 207165582892605627, 'target_is_minimal': False, 'target_label': '8379.2.a.bu.1.2', 'target_level': 8379, 'twist_class_label': '931.2.a.l.1.3', 'twist_class_level': 931, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 49021977
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 211669182519976123, 'source_is_minimal': False, 'source_label': '8379.2.a.bv.1.2', 'source_level': 8379, 'target_conrey_index': 704, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050738414125987, 'target_is_minimal': False, 'target_label': '931.2.f.o.704.2', 'target_level': 931, 'twist_class_label': '931.2.a.l.1.3', 'twist_class_level': 931, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49021978
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 211669182519976123, 'source_is_minimal': False, 'source_label': '8379.2.a.bv.1.2', 'source_level': 8379, 'target_conrey_index': 704, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547138786755491, 'target_is_minimal': False, 'target_label': '931.2.f.n.704.2', 'target_level': 931, 'twist_class_label': '931.2.a.l.1.3', 'twist_class_level': 931, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 49021979
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 211669182519976123, 'source_is_minimal': False, 'source_label': '8379.2.a.bv.1.2', 'source_level': 8379, 'target_conrey_index': 324, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050738414125987, 'target_is_minimal': False, 'target_label': '931.2.f.o.324.2', 'target_level': 931, 'twist_class_label': '931.2.a.l.1.3', 'twist_class_level': 931, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 49021980
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 211669182519976123, 'source_is_minimal': False, 'source_label': '8379.2.a.bv.1.2', 'source_level': 8379, 'target_conrey_index': 324, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547138786755491, 'target_is_minimal': False, 'target_label': '931.2.f.n.324.2', 'target_level': 931, 'twist_class_label': '931.2.a.l.1.3', 'twist_class_level': 931, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 49021981
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 211669182519976123, 'source_is_minimal': False, 'source_label': '8379.2.a.bv.1.2', 'source_level': 8379, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043195562001315, 'target_is_minimal': True, 'target_label': '931.2.a.m.1.3', 'target_level': 931, 'twist_class_label': '931.2.a.l.1.3', 'twist_class_level': 931, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4737475
{'charpoly_factorization': [[[1, 2, -5, 0, 1], 1]], 'hecke_orbit_code': 211669182519976123, 'p': 2}
-
id: 4737476
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 211669182519976123, 'p': 3}
-
id: 4737477
{'charpoly_factorization': [[[-65, 32, 12, -8, 1], 1]], 'hecke_orbit_code': 211669182519976123, 'p': 5}
-
id: 4737478
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 211669182519976123, 'p': 7}
-
id: 4737479
{'charpoly_factorization': [[[-59, 102, -13, -6, 1], 1]], 'hecke_orbit_code': 211669182519976123, 'p': 11}
-
id: 4737480
{'charpoly_factorization': [[[-5, 26, -20, 2, 1], 1]], 'hecke_orbit_code': 211669182519976123, 'p': 13}
-
id: 4737481
{'charpoly_factorization': [[[-125, 228, -23, -8, 1], 1]], 'hecke_orbit_code': 211669182519976123, 'p': 17}
-
id: 4737482
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 211669182519976123, 'p': 19}
-
id: 4737483
{'charpoly_factorization': [[[-59, 144, -14, -8, 1], 1]], 'hecke_orbit_code': 211669182519976123, 'p': 23}
-
id: 4737484
{'charpoly_factorization': [[[-191, -180, -41, 2, 1], 1]], 'hecke_orbit_code': 211669182519976123, 'p': 29}
-
id: 4737485
{'charpoly_factorization': [[[35, -22, -27, 0, 1], 1]], 'hecke_orbit_code': 211669182519976123, 'p': 31}
-
id: 4737486
{'charpoly_factorization': [[[-691, 358, -22, -10, 1], 1]], 'hecke_orbit_code': 211669182519976123, 'p': 37}
-
id: 4737487
{'charpoly_factorization': [[[155, 158, 9, -12, 1], 1]], 'hecke_orbit_code': 211669182519976123, 'p': 41}
-
id: 4737488
{'charpoly_factorization': [[[-448, 352, -64, -4, 1], 1]], 'hecke_orbit_code': 211669182519976123, 'p': 43}
-
id: 4737489
{'charpoly_factorization': [[[-7945, 2232, -84, -16, 1], 1]], 'hecke_orbit_code': 211669182519976123, 'p': 47}
-
id: 4737490
{'charpoly_factorization': [[[65, -102, 7, 12, 1], 1]], 'hecke_orbit_code': 211669182519976123, 'p': 53}
-
id: 4737491
{'charpoly_factorization': [[[-305, 234, 16, -14, 1], 1]], 'hecke_orbit_code': 211669182519976123, 'p': 59}
-
id: 4737492
{'charpoly_factorization': [[[-685, -84, 96, 20, 1], 1]], 'hecke_orbit_code': 211669182519976123, 'p': 61}
-
id: 4737493
{'charpoly_factorization': [[[2293, -260, -161, -2, 1], 1]], 'hecke_orbit_code': 211669182519976123, 'p': 67}
-
id: 4737494
{'charpoly_factorization': [[[3569, 62, -130, -2, 1], 1]], 'hecke_orbit_code': 211669182519976123, 'p': 71}
-
id: 4737495
{'charpoly_factorization': [[[-305, 48, 55, -16, 1], 1]], 'hecke_orbit_code': 211669182519976123, 'p': 73}
-
id: 4737496
{'charpoly_factorization': [[[-16, -288, -108, 8, 1], 1]], 'hecke_orbit_code': 211669182519976123, 'p': 79}
-
id: 4737497
{'charpoly_factorization': [[[4555, 1352, -37, -20, 1], 1]], 'hecke_orbit_code': 211669182519976123, 'p': 83}
-
id: 4737498
{'charpoly_factorization': [[[-2240, 736, 8, -16, 1], 1]], 'hecke_orbit_code': 211669182519976123, 'p': 89}
-
id: 4737499
{'charpoly_factorization': [[[815, -86, -224, 2, 1], 1]], 'hecke_orbit_code': 211669182519976123, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 48, 'label': '8379.2.a.bv', 'level': 8379, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71387803
{'hecke_orbit_code': 211669182519976123, 'n': 1, 'trace_an': 4}
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id: 71387804
{'hecke_orbit_code': 211669182519976123, 'n': 2, 'trace_an': 0}
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id: 71387805
{'hecke_orbit_code': 211669182519976123, 'n': 3, 'trace_an': 0}
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id: 71387806
{'hecke_orbit_code': 211669182519976123, 'n': 4, 'trace_an': 2}
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id: 71387807
{'hecke_orbit_code': 211669182519976123, 'n': 5, 'trace_an': 8}
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id: 71387808
{'hecke_orbit_code': 211669182519976123, 'n': 6, 'trace_an': 0}
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id: 71387809
{'hecke_orbit_code': 211669182519976123, 'n': 7, 'trace_an': 0}
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id: 71387810
{'hecke_orbit_code': 211669182519976123, 'n': 8, 'trace_an': -6}
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id: 71387811
{'hecke_orbit_code': 211669182519976123, 'n': 9, 'trace_an': 0}
-
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