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{'Nk2': 20216, 'analytic_conductor': 40.356393181555106, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -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': [5054, 1, [1445, 1807], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 8, 'field_disc': 19520000000, 'field_disc_factorization': [[2, 12], [5, 7], [61, 1]], 'field_poly': [-4, -32, -72, -24, 50, 16, -12, -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': [[3, [1, 34, 2, -98, 15, 38, -8, -4, 1]], [5, [-79, 46, 122, -82, -50, 42, 2, -6, 1]], [13, [181, -144, -888, -422, 355, 182, -38, -6, 1]]], 'hecke_orbit': 35, 'hecke_orbit_code': 153122387364156350, 'hecke_ring_generator_nbound': 5, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '5054.2.a.bi', 'level': 5054, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 19], 'level_radical': 266, 'minimal_twist': '5054.2.a.bf', 'nf_label': '8.8.19520000000.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+(1+\\beta _{5}-\\beta _{7})q^{3}+q^{4}+(1+\\beta _{1}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5054.2.a', 'trace_display': [8, 4, 6, -8], 'trace_hash': 1826684741960099725, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.146', 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-0.4111024895806297, -0.3592948741878585, -0.03785713561721888, -0.17023866218806127, -0.24083248507055557, -0.17675233251627534, -0.2833160338296839, -0.37699973873068887, -0.1563436792937434, -0.12826455263319883, -0.2475467831202668, -0.15396563714060718, -0.24000794259431082, -0.17546040679323202, -0.3147030178887146, -0.16666963180535072, -0.2797384625396086, -0.12141040773777703, -0.20597203762614866, -0.29264302177025237, -0.1718562134001059, -0.24835537552835715, -0.23634064905769975, -0.3053354587222315, -0.09175524224039358, -0.2066213445435419], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 8, 'dual_embedding_m': 8, 'embedding_index': 8, 'embedding_m': 8, 'embedding_root_imag': 0.0, 'embedding_root_real': -1.9163113580783269, 'hecke_orbit': 35, 'hecke_orbit_code': 153122387364156350, 'label': '5054.2.a.bi.1.8', 'level': 5054, 'weight': 2}
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{'AL_dims': [[[[2, -1], [7, 1], [19, 1]], 22, 4], [[[2, -1], [7, -1], [19, -1]], 29, 6], [[[2, 1], [7, -1], [19, -1]], 16, 5], [[[2, 1], [7, -1], [19, 1]], 26, 4], [[[2, 1], [7, 1], [19, -1]], 25, 6], [[[2, -1], [7, -1], [19, 1]], 14, 4], [[[2, -1], [7, 1], [19, -1]], 20, 6], [[[2, 1], [7, 1], [19, 1]], 18, 4]], 'ALdims': [18, 25, 26, 16, 22, 20, 14, 29], 'Nk2': 20216, 'analytic_conductor': 40.356393181555106, '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': [5054, 1, [1445, 1807], [1, 1]], 'conrey_index': 1, 'cusp_dim': 721, 'dim': 170, 'eis_dim': 79, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 13], 'hecke_orbit_code': 33559486, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 9, 9, 12, 12], 'label': '5054.2.a', 'level': 5054, 'level_is_prime': False, 'level_is_prime_power': False, 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1}
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mf_twists_cc • Show schema
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id: 48827961
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 153122387364156350, 'source_is_minimal': True, 'source_label': '5054.2.a.bi.1.8', 'source_level': 5054, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 153122387364156350, 'target_is_minimal': True, 'target_label': '5054.2.a.bi.1.8', 'target_level': 5054, 'twist_class_label': '5054.2.a.bf.1.1', 'twist_class_level': 5054, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48827962
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 153122387364156350, 'source_is_minimal': True, 'source_label': '5054.2.a.bi.1.8', 'source_level': 5054, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 139611588482044862, 'target_is_minimal': True, 'target_label': '5054.2.a.bf.1.1', 'target_level': 5054, 'twist_class_label': '5054.2.a.bf.1.1', 'twist_class_level': 5054, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3785800
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 153122387364156350, 'p': 2}
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id: 3785801
{'charpoly_factorization': [[[1, 34, 2, -98, 15, 38, -8, -4, 1], 1]], 'hecke_orbit_code': 153122387364156350, 'p': 3}
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id: 3785802
{'charpoly_factorization': [[[-79, 46, 122, -82, -50, 42, 2, -6, 1], 1]], 'hecke_orbit_code': 153122387364156350, 'p': 5}
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id: 3785803
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 153122387364156350, 'p': 7}
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id: 3785804
{'charpoly_factorization': [[[-419, 1004, -388, -428, 210, 68, -28, -4, 1], 1]], 'hecke_orbit_code': 153122387364156350, 'p': 11}
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id: 3785805
{'charpoly_factorization': [[[181, -144, -888, -422, 355, 182, -38, -6, 1], 1]], 'hecke_orbit_code': 153122387364156350, 'p': 13}
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id: 3785806
{'charpoly_factorization': [[[-779, 3528, -1732, -1054, 515, 86, -42, -2, 1], 1]], 'hecke_orbit_code': 153122387364156350, 'p': 17}
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id: 3785807
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 153122387364156350, 'p': 19}
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id: 3785808
{'charpoly_factorization': [[[1525, 8100, 8200, -4700, -2190, 460, 80, -20, 1], 1]], 'hecke_orbit_code': 153122387364156350, 'p': 23}
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id: 3785809
{'charpoly_factorization': [[[-7619, 11776, 22292, -8192, -2030, 752, 12, -16, 1], 1]], 'hecke_orbit_code': 153122387364156350, 'p': 29}
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id: 3785810
{'charpoly_factorization': [[[-919, -2782, 3438, 3006, -1170, -274, 158, -22, 1], 1]], 'hecke_orbit_code': 153122387364156350, 'p': 31}
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id: 3785811
{'charpoly_factorization': [[[-410699, 33492, 216968, 64804, -270, -1796, -112, 12, 1], 1]], 'hecke_orbit_code': 153122387364156350, 'p': 37}
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id: 3785812
{'charpoly_factorization': [[[515341, -223094, -148318, 80998, -7865, -1778, 452, -36, 1], 1]], 'hecke_orbit_code': 153122387364156350, 'p': 41}
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id: 3785813
{'charpoly_factorization': [[[3305, -36080, -56550, 2560, 7215, -80, -190, 0, 1], 1]], 'hecke_orbit_code': 153122387364156350, 'p': 43}
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id: 3785814
{'charpoly_factorization': [[[121, 1166, 3562, 3718, 1350, 2, -78, -6, 1], 1]], 'hecke_orbit_code': 153122387364156350, 'p': 47}
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id: 3785815
{'charpoly_factorization': [[[-24979, 102536, 87272, -36992, -1910, 1512, -48, -16, 1], 1]], 'hecke_orbit_code': 153122387364156350, 'p': 53}
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id: 3785816
{'charpoly_factorization': [[[-3744859, 3276814, -363538, -189738, 15690, 2978, -218, -14, 1], 1]], 'hecke_orbit_code': 153122387364156350, 'p': 59}
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id: 3785817
{'charpoly_factorization': [[[-411095, 258950, 82470, -71270, 6270, 1650, -170, -10, 1], 1]], 'hecke_orbit_code': 153122387364156350, 'p': 61}
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id: 3785818
{'charpoly_factorization': [[[-4692995, -1048580, 666950, 193520, -4185, -4000, -130, 20, 1], 1]], 'hecke_orbit_code': 153122387364156350, 'p': 67}
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id: 3785819
{'charpoly_factorization': [[[14480, 24320, -177920, -12480, 13400, 320, -240, 0, 1], 1]], 'hecke_orbit_code': 153122387364156350, 'p': 71}
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id: 3785820
{'charpoly_factorization': [[[-58519, -37032, 33828, 14426, -2005, -1014, -2, 18, 1], 1]], 'hecke_orbit_code': 153122387364156350, 'p': 73}
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id: 3785821
{'charpoly_factorization': [[[1204961, 628544, -540258, -61028, 29555, 908, -338, -4, 1], 1]], 'hecke_orbit_code': 153122387364156350, 'p': 79}
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id: 3785822
{'charpoly_factorization': [[[24520336, -20068064, 4609152, -5312, -92180, 7312, 172, -36, 1], 1]], 'hecke_orbit_code': 153122387364156350, 'p': 83}
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id: 3785823
{'charpoly_factorization': [[[-122399, 150332, 25948, -53666, 915, 2194, -102, -18, 1], 1]], 'hecke_orbit_code': 153122387364156350, 'p': 89}
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id: 3785824
{'charpoly_factorization': [[[-7416859, 3247266, 712262, -273502, -13390, 5182, -58, -26, 1], 1]], 'hecke_orbit_code': 153122387364156350, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 35, 'label': '5054.2.a.bi', 'level': 5054, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 269464000
{'hecke_orbit_code': 153122387364156350, 'n': 1, 'trace_an': 8}
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id: 269464001
{'hecke_orbit_code': 153122387364156350, 'n': 2, 'trace_an': 8}
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id: 269464002
{'hecke_orbit_code': 153122387364156350, 'n': 3, 'trace_an': 4}
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id: 269464003
{'hecke_orbit_code': 153122387364156350, 'n': 4, 'trace_an': 8}
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id: 269464004
{'hecke_orbit_code': 153122387364156350, 'n': 5, 'trace_an': 6}
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id: 269464005
{'hecke_orbit_code': 153122387364156350, 'n': 6, 'trace_an': 4}
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id: 269464006
{'hecke_orbit_code': 153122387364156350, 'n': 7, 'trace_an': -8}
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id: 269464007
{'hecke_orbit_code': 153122387364156350, 'n': 8, 'trace_an': 8}
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id: 269464008
{'hecke_orbit_code': 153122387364156350, 'n': 9, 'trace_an': 8}
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id: 269464009
{'hecke_orbit_code': 153122387364156350, 'n': 10, 'trace_an': 6}
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id: 269464010
{'hecke_orbit_code': 153122387364156350, 'n': 11, 'trace_an': 4}
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id: 269464011
{'hecke_orbit_code': 153122387364156350, 'n': 12, 'trace_an': 4}
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id: 269464012
{'hecke_orbit_code': 153122387364156350, 'n': 13, 'trace_an': 6}
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id: 269464013
{'hecke_orbit_code': 153122387364156350, 'n': 14, 'trace_an': -8}
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id: 269464014
{'hecke_orbit_code': 153122387364156350, 'n': 15, 'trace_an': 8}
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id: 269464015
{'hecke_orbit_code': 153122387364156350, 'n': 16, 'trace_an': 8}
-
id: 269464016
{'hecke_orbit_code': 153122387364156350, 'n': 17, 'trace_an': 2}
-
id: 269464017
{'hecke_orbit_code': 153122387364156350, 'n': 18, 'trace_an': 8}
-
id: 269464018
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id: 269464985
{'hecke_orbit_code': 153122387364156350, 'n': 986, 'trace_an': -46}
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id: 269464986
{'hecke_orbit_code': 153122387364156350, 'n': 987, 'trace_an': -48}
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id: 269464987
{'hecke_orbit_code': 153122387364156350, 'n': 988, 'trace_an': 0}
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id: 269464988
{'hecke_orbit_code': 153122387364156350, 'n': 989, 'trace_an': -20}
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id: 269464989
{'hecke_orbit_code': 153122387364156350, 'n': 990, 'trace_an': -52}
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id: 269464990
{'hecke_orbit_code': 153122387364156350, 'n': 991, 'trace_an': -52}
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id: 269464991
{'hecke_orbit_code': 153122387364156350, 'n': 992, 'trace_an': 22}
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id: 269464992
{'hecke_orbit_code': 153122387364156350, 'n': 993, 'trace_an': 76}
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id: 269464993
{'hecke_orbit_code': 153122387364156350, 'n': 994, 'trace_an': 0}
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id: 269464994
{'hecke_orbit_code': 153122387364156350, 'n': 995, 'trace_an': -32}
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id: 269464995
{'hecke_orbit_code': 153122387364156350, 'n': 996, 'trace_an': -32}
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id: 269464996
{'hecke_orbit_code': 153122387364156350, 'n': 997, 'trace_an': 58}
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id: 269464997
{'hecke_orbit_code': 153122387364156350, 'n': 998, 'trace_an': -56}
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id: 269464998
{'hecke_orbit_code': 153122387364156350, 'n': 999, 'trace_an': -138}
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id: 269464999
{'hecke_orbit_code': 153122387364156350, 'n': 1000, 'trace_an': -6}