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{'Nk2': 10692, 'analytic_conductor': 21.344012460288248, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [11, -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': [2673, 1, [2432, 244], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 864654912, 'field_disc_factorization': [[2, 6], [3, 4], [11, 1], [59, 1], [257, 1]], 'field_poly': [-9, -16, 14, 14, -8, -2, 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, [-9, -16, 14, 14, -8, -2, 1]], [5, [-48, 8, 77, 14, -17, -2, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67553994444114545, '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': True, 'label': '2673.2.a.p', 'level': 2673, '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, 11], 'level_radical': 33, 'minimal_twist': '2673.2.a.j', 'nf_label': '6.6.864654912.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+\\beta _{2}q^{5}-\\beta _{4}q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2673.2.a', 'trace_display': [2, 0, 2, -2], 'trace_hash': 2244240441089105883, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.029', 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'embedding_m': 5, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.9330554226252603, 'hecke_orbit': 16, 'hecke_orbit_code': 67553994444114545, 'label': '2673.2.a.p.1.5', 'level': 2673, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [29, 35, 31, 25], 'Nk2': 10692, 'analytic_conductor': 21.344012460288248, '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': [2673, 1, [2432, 244], [1, 1]], 'conrey_index': 1, 'cusp_dim': 307, 'dim': 120, 'eis_dim': 35, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33557105, 'hecke_orbit_dims': [4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 18, 18], 'label': '2673.2.a', 'level': 2673, '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, 11], 'level_radical': 33, 'mf_dim': 342, 'mf_new_dim': 120, 'num_forms': 18, 'plus_dim': 54, 'prim_orbit_index': 1, 'relative_dim': 120, 'sturm_bound': 648, 'trace_bound': 10, 'trace_display': [0, 0, 0, 6], 'traces': [120, 0, 0, 120, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 120, 0, 0, 6, 0, 0, 0, 0, 0, 120, 0, 0, 24, 0, 0, 24, 0, 0, 36, 0, 0, 6, 0, 0, 36, 0, 0, 24, 0, 0, 36, 0, 0, 126, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 156, 0, 0, -48, 0, 0, 0, 0, 0, -48, 0, 0, 60, 0, 0, 6, 0, 0, -144, 0, 0, -144, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -138, 0, 0, 120, 0, 0, -48, 0, 0, -108, 0, 0, 60, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 96, 0, 0, 24, 0, 0, -144, 0, 0, 12, 0, 0, 72, 0, 0, 78, 0, 0, 0, 0, 0, -144, 0, 0, 24, 0, 0, 24, 0, 0, 0, 0, 0, 60, 0, 0, 72, 0, 0, 6, 0, 0, 36, 0, 0, 162, 0, 0, 60, 0, 0, 42, 0, 0, 0, 0, 0, -102, 0, 0, 72, 0, 0, 0, 0, 0, 36, 0, 0, -48, 0, 0, 144, 0, 0, 114, 0, 0, -144, 0, 0, 0, 0, 0, 60, 0, 0, 42, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 42, 0, 0, -156, 0, 0, -186, 0, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, -150, 0, 0, 144, 0, 0, 0, 0, 0, -192, 0, 0, -48, 0, 0, 36, 0, 0, -84, 0, 0, 144, 0, 0, 24, 0, 0, 0, 0, 0, 120, 0, 0, -48, 0, 0, 0, 0, 0, 36, 0, 0, 30, 0, 0, -156, 0, 0, -192, 0, 0, -288, 0, 0, 42, 0, 0, -264, 0, 0, 0, 0, 0, 180, 0, 0, -390, 0, 0, -432, 0, 0, 114, 0, 0, -288, 0, 0, -102, 0, 0, -252, 0, 0, -150, 0, 0, -252, 0, 0, -426, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 198, 0, 0, 48, 0, 0, -48, 0, 0, 36, 0, 0, -390, 0, 0, -252, 0, 0, 114, 0, 0, 216, 0, 0, 0, 0, 0, -228, 0, 0, 72, 0, 0, -216, 0, 0, 96, 0, 0, 300, 0, 0, 66, 0, 0, 144, 0, 0, 42, 0, 0, -192, 0, 0, 0, 0, 0, 36, 0, 0, 42, 0, 0, -360, 0, 0, 102, 0, 0, 180, 0, 0, 132, 0, 0, -156, 0, 0, -192, 0, 0, -72, 0, 0, -432, 0, 0, 312, 0, 0, 0, 0, 0, 36, 0, 0, 132, 0, 0, -144, 0, 0, 42, 0, 0, 36, 0, 0, 66, 0, 0, 0, 0, 0, 42, 0, 0, 72, 0, 0, -60, 0, 0, 120, 0, 0, 42, 0, 0, 324, 0, 0, -396, 0, 0, 240, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 66, 0, 0, -108, 0, 0, 0, 0, 0, -324, 0, 0, -48, 0, 0, 108, 0, 0, 120, 0, 0, 48, 0, 0, 72, 0, 0, 0, 0, 0, 186, 0, 0, -144, 0, 0, 24, 0, 0, 108, 0, 0, 120, 0, 0, 312, 0, 0, -42, 0, 0, 108, 0, 0, 0, 0, 0, 180, 0, 0, 42, 0, 0, 72, 0, 0, -48, 0, 0, -432, 0, 0, 0, 0, 0, 72, 0, 0, 138, 0, 0, 312, 0, 0, 72, 0, 0, 252, 0, 0, 168, 0, 0, -48, 0, 0, 42, 0, 0, -252, 0, 0, -444, 0, 0, 0, 0, 0, 96, 0, 0, 144, 0, 0, 264, 0, 0, -732, 0, 0, 78, 0, 0, -756, 0, 0, 198, 0, 0, -720, 0, 0, -84, 0, 0, -144, 0, 0, 0, 0, 0, 132, 0, 0, 72, 0, 0, -756, 0, 0, 168, 0, 0, 252, 0, 0, 144, 0, 0, -576, 0, 0, 78, 0, 0, 396, 0, 0, 120, 0, 0, 0, 0, 0, -216, 0, 0, 132, 0, 0, 204, 0, 0, 72, 0, 0, 108, 0, 0, -516, 0, 0, 48, 0, 0, -72, 0, 0, 150, 0, 0, 144, 0, 0, 72, 0, 0, -792, 0, 0, 318, 0, 0, -552, 0, 0, -48, 0, 0, -36, 0, 0, -48, 0, 0, 180, 0, 0, 240, 0, 0, 144, 0, 0, -72, 0, 0, 0, 0, 0, 114, 0, 0, -144, 0, 0, -156, 0, 0, -684, 0, 0, 138, 0, 0, -216, 0, 0, 150, 0, 0, -192, 0, 0, 276, 0, 0, 108, 0, 0, 36, 0, 0, -684, 0, 0, 24, 0, 0, 252, 0, 0, 138, 0, 0, 312, 0, 0, 0, 0, 0, 216, 0, 0, 108, 0, 0, -432, 0, 0, 204, 0, 0, 0, 0, 0, 102, 0, 0, 180, 0, 0, 78, 0, 0, 144, 0, 0, 6, 0, 0, 132, 0, 0, 108, 0, 0, -792, 0, 0, 228, 0, 0, 384, 0, 0, 6, 0, 0, 288, 0, 0, -300, 0, 0, -72, 0, 0, 6, 0, 0, 252, 0, 0, -72, 0, 0, -1032, 0, 0, 282, 0, 0, 216, 0, 0, 150, 0, 0, 0, 0, 0, 114, 0, 0, 288, 0, 0, -42, 0, 0, 60, 0, 0, 180, 0, 0, 216, 0, 0, 216, 0, 0, 36, 0, 0, 114, 0, 0, 612, 0, 0, 0, 0, 0, 348, 0, 0, 60, 0, 0, -36, 0, 0, 6, 0, 0, 288, 0, 0, 270, 0, 0, -576, 0, 0, 186, 0, 0, 540, 0, 0, 108, 0, 0, 0, 0, 0, -366, 0, 0, 144, 0, 0, 180, 0, 0, 324, 0, 0, 324, 0, 0, 204, 0, 0, 132, 0, 0, -576, 0, 0, -330, 0, 0, -192, 0, 0, 0, 0, 0, 324, 0, 0, -144, 0, 0, -168, 0, 0, 24, 0, 0, 72, 0, 0, -300, 0, 0, 72], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47894000
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 67553994444114545, 'source_is_minimal': True, 'source_label': '2673.2.a.p.1.5', 'source_level': 2673, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 67553994444114545, 'target_is_minimal': True, 'target_label': '2673.2.a.p.1.5', 'target_level': 2673, 'twist_class_label': '2673.2.a.j.1.2', 'twist_class_level': 2673, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47894001
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 67553994444114545, 'source_is_minimal': True, 'source_label': '2673.2.a.p.1.5', 'source_level': 2673, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396679891569, 'target_is_minimal': True, 'target_label': '2673.2.a.j.1.2', 'target_level': 2673, 'twist_class_label': '2673.2.a.j.1.2', 'twist_class_level': 2673, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2788800
{'charpoly_factorization': [[[-9, -16, 14, 14, -8, -2, 1], 1]], 'hecke_orbit_code': 67553994444114545, 'p': 2}
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id: 2788801
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 67553994444114545, 'p': 3}
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id: 2788802
{'charpoly_factorization': [[[-48, 8, 77, 14, -17, -2, 1], 1]], 'hecke_orbit_code': 67553994444114545, 'p': 5}
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id: 2788803
{'charpoly_factorization': [[[251, 340, 76, -60, -22, 2, 1], 1]], 'hecke_orbit_code': 67553994444114545, 'p': 7}
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id: 2788804
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 67553994444114545, 'p': 11}
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id: 2788805
{'charpoly_factorization': [[[-1, 46, -446, -312, -28, 8, 1], 1]], 'hecke_orbit_code': 67553994444114545, 'p': 13}
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id: 2788806
{'charpoly_factorization': [[[-132, 440, 623, 32, -53, -2, 1], 1]], 'hecke_orbit_code': 67553994444114545, 'p': 17}
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id: 2788807
{'charpoly_factorization': [[[1647, 1728, 171, -252, -51, 4, 1], 1]], 'hecke_orbit_code': 67553994444114545, 'p': 19}
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id: 2788808
{'charpoly_factorization': [[[2256, -3104, 197, 574, -53, -10, 1], 1]], 'hecke_orbit_code': 67553994444114545, 'p': 23}
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id: 2788809
{'charpoly_factorization': [[[-36, -240, 75, 192, -45, -6, 1], 1]], 'hecke_orbit_code': 67553994444114545, 'p': 29}
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id: 2788810
{'charpoly_factorization': [[[281, -2048, 3160, -582, -112, 8, 1], 1]], 'hecke_orbit_code': 67553994444114545, 'p': 31}
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id: 2788811
{'charpoly_factorization': [[[-48903, -7074, 5439, 324, -153, -2, 1], 1]], 'hecke_orbit_code': 67553994444114545, 'p': 37}
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id: 2788812
{'charpoly_factorization': [[[-9216, 5120, 2240, -544, -128, 4, 1], 1]], 'hecke_orbit_code': 67553994444114545, 'p': 41}
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id: 2788813
{'charpoly_factorization': [[[-40368, -12768, 4776, 480, -147, -2, 1], 1]], 'hecke_orbit_code': 67553994444114545, 'p': 43}
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id: 2788814
{'charpoly_factorization': [[[-14304, 12952, -1999, -740, 262, -28, 1], 1]], 'hecke_orbit_code': 67553994444114545, 'p': 47}
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id: 2788815
{'charpoly_factorization': [[[2772, -1320, -2799, 288, 138, -24, 1], 1]], 'hecke_orbit_code': 67553994444114545, 'p': 53}
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id: 2788816
{'charpoly_factorization': [[[-144576, 26752, 11888, -1088, -212, 8, 1], 1]], 'hecke_orbit_code': 67553994444114545, 'p': 59}
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id: 2788817
{'charpoly_factorization': [[[8076, 8652, 1923, -318, -120, -2, 1], 1]], 'hecke_orbit_code': 67553994444114545, 'p': 61}
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id: 2788818
{'charpoly_factorization': [[[6352, -2184, -1035, 452, -6, -12, 1], 1]], 'hecke_orbit_code': 67553994444114545, 'p': 67}
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id: 2788819
{'charpoly_factorization': [[[133812, -11616, -13467, 1374, 195, -30, 1], 1]], 'hecke_orbit_code': 67553994444114545, 'p': 71}
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id: 2788820
{'charpoly_factorization': [[[41024, -65792, -128, 2832, -160, -16, 1], 1]], 'hecke_orbit_code': 67553994444114545, 'p': 73}
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id: 2788821
{'charpoly_factorization': [[[-5273, 3528, 603, -460, -27, 12, 1], 1]], 'hecke_orbit_code': 67553994444114545, 'p': 79}
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id: 2788822
{'charpoly_factorization': [[[-250452, -21888, 18315, 558, -291, 0, 1], 1]], 'hecke_orbit_code': 67553994444114545, 'p': 83}
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id: 2788823
{'charpoly_factorization': [[[-2124, 96, 885, -126, -57, 6, 1], 1]], 'hecke_orbit_code': 67553994444114545, 'p': 89}
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id: 2788824
{'charpoly_factorization': [[[-178064, -137376, -38484, -4444, -99, 18, 1], 1]], 'hecke_orbit_code': 67553994444114545, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 16, 'label': '2673.2.a.p', 'level': 2673, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 60456085
{'hecke_orbit_code': 67553994444114545, 'n': 1, 'trace_an': 6}
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id: 60456086
{'hecke_orbit_code': 67553994444114545, 'n': 2, 'trace_an': 2}
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id: 60456087
{'hecke_orbit_code': 67553994444114545, 'n': 3, 'trace_an': 0}
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id: 60456088
{'hecke_orbit_code': 67553994444114545, 'n': 4, 'trace_an': 8}
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id: 60456089
{'hecke_orbit_code': 67553994444114545, 'n': 5, 'trace_an': 2}
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