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mf_newforms • Show schema
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{'Nk2': 24016, 'analytic_conductor': 47.942181373576744, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [19, -1], [79, -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': [6004, 1, [3003, 2529, 3953], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 4001337531328, 'field_disc_factorization': [[2, 6], [59, 1], [1059676253, 1]], 'field_poly': [248, 340, -241, -248, 87, 56, -15, -4, 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, [0, 1]], [5, [248, 340, -241, -248, 87, 56, -15, -4, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915671924, 'hecke_ring_generator_nbound': 29, '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': '6004.2.a.d', 'level': 6004, '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': [2, 19, 79], 'level_radical': 3002, 'minimal_twist': '6004.2.a.d', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{5}-\\beta _{4}q^{7}-3q^{9}+(-1+\\beta _{1}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6004.2.a', 'trace_display': [0, 0, 4, 1], 'trace_hash': 810414011977091701, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.256', 'prec': 17}, 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'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 6, 'dual_embedding_m': 6, 'embedding_index': 6, 'embedding_m': 6, 'embedding_root_imag': 0.0, 'embedding_root_real': 2.450953637765998, 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915671924, 'label': '6004.2.a.d.1.6', 'level': 6004, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 32, 26, 27, 33], 'Nk2': 24016, 'analytic_conductor': 47.942181373576744, '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': [6004, 1, [3003, 2529, 3953], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 795, 'dim': 118, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 33560436, 'hecke_orbit_dims': [1, 1, 1, 8, 24, 25, 27, 31], 'label': '6004.2.a', 'level': 6004, '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': [2, 19, 79], 'level_radical': 3002, 'mf_dim': 806, 'mf_new_dim': 118, 'num_forms': 8, 'plus_dim': 53, 'prim_orbit_index': 1, 'relative_dim': 118, 'sturm_bound': 1600, 'trace_bound': 3, 'trace_display': [0, -4, 2, -2], 'traces': [118, 0, -4, 0, 2, 0, -2, 0, 126, 0, 2, 0, 12, 0, 4, 0, 2, 0, 2, 0, 4, 0, -12, 0, 120, 0, 8, 0, 12, 0, -28, 0, -44, 0, -2, 0, -8, 0, -8, 0, -4, 0, -6, 0, 2, 0, 14, 0, 132, 0, 20, 0, 4, 0, -18, 0, 0, 0, -12, 0, 30, 0, 2, 0, 24, 0, 4, 0, 4, 0, -12, 0, -10, 0, -12, 0, -6, 0, 0, 0, 134, 0, 0, 0, 26, 0, 16, 0, -24, 0, -20, 0, -28, 0, -2, 0, -4, 0, -14, 0, 24, 0, 24, 0, 52, 0, -12, 0, 36, 0, 8, 0, 8, 0, -32, 0, 52, 0, 2, 0, 88, 0, -24, 0, 42, 0, -24, 0, 16, 0, 6, 0, -10, 0, 68, 0, 14, 0, -18, 0, -48, 0, 8, 0, -8, 0, -8, 0, -18, 0, -52, 0, 34, 0, -60, 0, -36, 0, 12, 0, 8, 0, -32, 0, -72, 0, 40, 0, 102, 0, 10, 0, -28, 0, -88, 0, -24, 0, 28, 0, 4, 0, 64, 0, 8, 0, -10, 0, -28, 0, -74, 0, -8, 0, 56, 0, -20, 0, -58, 0, -16, 0, -12, 0, 24, 0, -96, 0, 10, 0, 16, 0, -20, 0, 30, 0, -48, 0, 28, 0, 8, 0, -8, 0, 156, 0, 24, 0, -6, 0, 20, 0, -14, 0, -14, 0, 12, 0, -70, 0, 52, 0, 20, 0, 120, 0, 0, 0, 100, 0, -6, 0, -92, 0, -40, 0, -8, 0, 84, 0, 64, 0, -42, 0, -56, 0, -20, 0, 88, 0, -48, 0, -52, 0, 72, 0, 10, 0, -48, 0, -8, 0, 98, 0, 0, 0, 72, 0, 140, 0, -20, 0, 4, 0, -120, 0, -100, 0, -52, 0, -98, 0, 4, 0, -6, 0, -72, 0, 44, 0, 74, 0, 72, 0, 14, 0, -8, 0, -92, 0, 60, 0, -14, 0, 164, 0, -12, 0, 74, 0, -76, 0, -16, 0, 44, 0, 112, 0, -80, 0, -20, 0, 14, 0, 32, 0, -42, 0, -86, 0, -24, 0, -16, 0, 44, 0, -12, 0, 98, 0, 118, 0, 148, 0, 34, 0, 12, 0, 80, 0, -20, 0, 72, 0, -52, 0, 80, 0, 24, 0, 168, 0, 132, 0, -22, 0, 14, 0, -10, 0, -24, 0, 76, 0, 0, 0, 18, 0, -12, 0, 28, 0, 184, 0, 162, 0, 48, 0, 24, 0, -44, 0, 80, 0, -4, 0, 24, 0, 124, 0, 152, 0, 2, 0, 176, 0, -30, 0, 108, 0, 20, 0, -4, 0, -100, 0, 16, 0, 20, 0, 196, 0, -58, 0, 268, 0, 172, 0, 8, 0, -128, 0, 12, 0, 76, 0, -10, 0, -120, 0, 18, 0, -30, 0, -104, 0, -58, 0, 60, 0, 140, 0, 42, 0, -24, 0, -196, 0, -72, 0, 20, 0, 228, 0, 32, 0, 0, 0, -180, 0, 52, 0, 12, 0, -10, 0, -52, 0, 30, 0, 80, 0, 120, 0, -52, 0, -224, 0, 84, 0, 22, 0, -24, 0, -104, 0, -82, 0, -76, 0, -84, 0, 8, 0, -44, 0, 152, 0, 82, 0, 16, 0, 68, 0, 84, 0, -44, 0, 28, 0, 66, 0, -20, 0, 28, 0, -68, 0, -86, 0, -4, 0, 0, 0, -156, 0, 86, 0, 164, 0, -8, 0, -68, 0, 52, 0, 22, 0, 4, 0, 92, 0, -112, 0, 156, 0, 54, 0, -140, 0, -204, 0, 144, 0, 172, 0, 6, 0, 0, 0, -56, 0, 72, 0, 74, 0, -240, 0, 220, 0, -152, 0, -64, 0, -4, 0, -40, 0, 52, 0, -80, 0, 10, 0, -104, 0, -162, 0, -100, 0, 216, 0, -64, 0, -14, 0, 0, 0, 64, 0, 118, 0, -68, 0, -12, 0, -16, 0, -96, 0, 28, 0, 22, 0, 172, 0, -102, 0, -164, 0, -16, 0, 206, 0, 58, 0, 70, 0, 164, 0, -16, 0, -40, 0, -18, 0, -16, 0, 32, 0, 62, 0, 72, 0, -88, 0, -192, 0, 88, 0, -140, 0, 280, 0, 62, 0, -188, 0, 156, 0, -150, 0, 138, 0, 98, 0, 188, 0, 108, 0, 4, 0, 20, 0, 0, 0, 32, 0, -44, 0, 0, 0, 20, 0, -60, 0, -92, 0, -54, 0, 92, 0, 176, 0, -124, 0, -90, 0, 90, 0, -18, 0, 168, 0, 100, 0, -28, 0, -38, 0, 0, 0, 40, 0, 50, 0, -164, 0, -80, 0, 104, 0, -240, 0, -8, 0, -10, 0, -420, 0, 222, 0, -120, 0, 26, 0, 96, 0, -138, 0, -128, 0, -156, 0, -160, 0, 92, 0, 16, 0, -140, 0, -240, 0, 132, 0, -212, 0, -116, 0, 104, 0, -132, 0, -76, 0, 200, 0, 22, 0, -68, 0, 98, 0, -240, 0, -72, 0, -226, 0, -104, 0, 24, 0, -100, 0, -2, 0, -128, 0, 30, 0, -54, 0, 172, 0, -136, 0, -60, 0, -144, 0, -272, 0, -196, 0, -200, 0, -148, 0, 86, 0, -76, 0, 170, 0, 152, 0, 32, 0, -64, 0, -144, 0, 46, 0, 80, 0, -30, 0, 48, 0, -56, 0, -8, 0, -80, 0, 0, 0, -48, 0, -80, 0, 290, 0, 72, 0, -136, 0, 70, 0, -126, 0, -292, 0, 264, 0, -28, 0, 190, 0, -30, 0, -16, 0, -148, 0, 84, 0, 0, 0, -32, 0, 68, 0, 56, 0, 80, 0, -64, 0, -48, 0, -8, 0, -166, 0, 56, 0, -24, 0, 176, 0, 156, 0, -104, 0, -152, 0, -28, 0, -292, 0, -138, 0, 10, 0, -204, 0, 44, 0, 144, 0, 20, 0, 68, 0, 124, 0, -168, 0, -128, 0, -90, 0, 208, 0, 154, 0, -14, 0, -384, 0, 128, 0, 128, 0, 36, 0, -112, 0, 50, 0, 228, 0, 92, 0, -232, 0, -192, 0, -36, 0, 336, 0, 16, 0, 60, 0, 132, 0, -172, 0, 250, 0, -82, 0, 152, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 13510798915671924, 'source_is_minimal': True, 'source_label': '6004.2.a.d.1.6', 'source_level': 6004, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13510798915671924, 'target_is_minimal': True, 'target_label': '6004.2.a.d.1.6', 'target_level': 6004, 'twist_class_label': '6004.2.a.d.1.6', 'twist_class_level': 6004, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4061950
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 13510798915671924, 'p': 2}
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id: 4061951
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 13510798915671924, 'p': 3}
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id: 4061952
{'charpoly_factorization': [[[248, 340, -241, -248, 87, 56, -15, -4, 1], 1]], 'hecke_orbit_code': 13510798915671924, 'p': 5}
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id: 4061953
{'charpoly_factorization': [[[1352, 0, -2032, -166, 530, 33, -43, -1, 1], 1]], 'hecke_orbit_code': 13510798915671924, 'p': 7}
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id: 4061954
{'charpoly_factorization': [[[1792, -8768, -1192, 3468, 542, -299, -43, 7, 1], 1]], 'hecke_orbit_code': 13510798915671924, 'p': 11}
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id: 4061955
{'charpoly_factorization': [[[-50176, -19200, 12032, 4936, -800, -422, 0, 12, 1], 1]], 'hecke_orbit_code': 13510798915671924, 'p': 13}
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id: 4061956
{'charpoly_factorization': [[[-1664, -2688, 2304, 2316, -20, -285, -33, 7, 1], 1]], 'hecke_orbit_code': 13510798915671924, 'p': 17}
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id: 4061957
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 13510798915671924, 'p': 19}
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id: 4061958
{'charpoly_factorization': [[[50944, 32512, -8992, -6928, 616, 460, -36, -10, 1], 1]], 'hecke_orbit_code': 13510798915671924, 'p': 23}
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id: 4061959
{'charpoly_factorization': [[[15472, 17432, -28172, -7562, 3494, 383, -109, -5, 1], 1]], 'hecke_orbit_code': 13510798915671924, 'p': 29}
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id: 4061960
{'charpoly_factorization': [[[-283552, 389328, -105280, -26496, 7742, 547, -163, -3, 1], 1]], 'hecke_orbit_code': 13510798915671924, 'p': 31}
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id: 4061961
{'charpoly_factorization': [[[-151388, -198996, 71034, 37066, -2112, -1583, -59, 15, 1], 1]], 'hecke_orbit_code': 13510798915671924, 'p': 37}
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id: 4061962
{'charpoly_factorization': [[[85172, -78124, -46138, 12154, 4622, -569, -137, 5, 1], 1]], 'hecke_orbit_code': 13510798915671924, 'p': 41}
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id: 4061963
{'charpoly_factorization': [[[12334, 17498, -1647, -6022, 581, 470, -49, -10, 1], 1]], 'hecke_orbit_code': 13510798915671924, 'p': 43}
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id: 4061964
{'charpoly_factorization': [[[-634922, 1951854, 291629, -143982, -4727, 3362, -113, -18, 1], 1]], 'hecke_orbit_code': 13510798915671924, 'p': 47}
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id: 4061965
{'charpoly_factorization': [[[-2381252, -224820, 843322, -223106, 8778, 2875, -243, -9, 1], 1]], 'hecke_orbit_code': 13510798915671924, 'p': 53}
-
id: 4061966
{'charpoly_factorization': [[[143872, -572160, 469440, -131328, 7376, 2064, -220, -8, 1], 1]], 'hecke_orbit_code': 13510798915671924, 'p': 59}
-
id: 4061967
{'charpoly_factorization': [[[-479744, 233216, 83456, -41708, -500, 1429, -75, -13, 1], 1]], 'hecke_orbit_code': 13510798915671924, 'p': 61}
-
id: 4061968
{'charpoly_factorization': [[[-6184, 352, 14670, 4150, -3790, 323, 111, -21, 1], 1]], 'hecke_orbit_code': 13510798915671924, 'p': 67}
-
id: 4061969
{'charpoly_factorization': [[[307328, 0, -152880, 31640, 11660, -5070, 714, -44, 1], 1]], 'hecke_orbit_code': 13510798915671924, 'p': 71}
-
id: 4061970
{'charpoly_factorization': [[[-4804, 23260, -35841, 17216, 347, -1184, -7, 20, 1], 1]], 'hecke_orbit_code': 13510798915671924, 'p': 73}
-
id: 4061971
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 13510798915671924, 'p': 79}
-
id: 4061972
{'charpoly_factorization': [[[-1024, -3072, -2624, 96, 832, 68, -88, 4, 1], 1]], 'hecke_orbit_code': 13510798915671924, 'p': 83}
-
id: 4061973
{'charpoly_factorization': [[[2323328, -1314176, -783232, 98632, 25624, -1854, -280, 10, 1], 1]], 'hecke_orbit_code': 13510798915671924, 'p': 89}
-
id: 4061974
{'charpoly_factorization': [[[-861184, 829440, 454400, 544, -24912, -3488, -16, 22, 1], 1]], 'hecke_orbit_code': 13510798915671924, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '6004.2.a.d', 'level': 6004, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 33700453
{'hecke_orbit_code': 13510798915671924, 'n': 1, 'trace_an': 8}
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id: 33700454
{'hecke_orbit_code': 13510798915671924, 'n': 2, 'trace_an': 0}
-
id: 33700455
{'hecke_orbit_code': 13510798915671924, 'n': 3, 'trace_an': 0}
-
id: 33700456
{'hecke_orbit_code': 13510798915671924, 'n': 4, 'trace_an': 0}
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id: 33700457
{'hecke_orbit_code': 13510798915671924, 'n': 5, 'trace_an': 4}
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id: 33700458
{'hecke_orbit_code': 13510798915671924, 'n': 6, 'trace_an': 0}
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id: 33700459
{'hecke_orbit_code': 13510798915671924, 'n': 7, 'trace_an': 1}
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id: 33700460
{'hecke_orbit_code': 13510798915671924, 'n': 8, 'trace_an': 0}
-
id: 33700461
{'hecke_orbit_code': 13510798915671924, 'n': 9, 'trace_an': -24}
-
id: 33700462
{'hecke_orbit_code': 13510798915671924, 'n': 10, 'trace_an': 0}
-
id: 33700463
{'hecke_orbit_code': 13510798915671924, 'n': 11, 'trace_an': -7}
-
id: 33700464
{'hecke_orbit_code': 13510798915671924, 'n': 12, 'trace_an': 0}
-
id: 33700465
{'hecke_orbit_code': 13510798915671924, 'n': 13, 'trace_an': -12}
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id: 33700466
{'hecke_orbit_code': 13510798915671924, 'n': 14, 'trace_an': 0}
-
id: 33700467
{'hecke_orbit_code': 13510798915671924, 'n': 15, 'trace_an': 0}
-
id: 33700468
{'hecke_orbit_code': 13510798915671924, 'n': 16, 'trace_an': 0}
-
id: 33700469
{'hecke_orbit_code': 13510798915671924, 'n': 17, 'trace_an': -7}
-
id: 33700470
{'hecke_orbit_code': 13510798915671924, 'n': 18, 'trace_an': 0}
-
id: 33700471
{'hecke_orbit_code': 13510798915671924, 'n': 19, 'trace_an': 8}
-
id: 33700472
{'hecke_orbit_code': 13510798915671924, 'n': 20, 'trace_an': 0}
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id: 33700473
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