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{'Nk2': 32340, 'analytic_conductor': 64.55905003420519, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, -1], [7, 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': [8085, 1, [2696, 4852, 1816, 3676], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 6, 'field_disc': 2803712, 'field_disc_factorization': [[2, 11], [37, 2]], 'field_poly': [-2, 0, 8, 0, -6, 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, [-2, 0, 8, 0, -6, 0, 1]], [13, [62, -52, -58, 48, 8, -8, 1]], [17, [-25, -10, 67, 48, -7, -6, 1]]], 'hecke_orbit': 49, 'hecke_orbit_code': 216172782147346325, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8085.2.a.bw', 'level': 8085, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7, 11], 'level_radical': 1155, 'minimal_twist': '8085.2.a.bw', 'nf_label': '6.6.2803712.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-q^{3}+\\beta _{2}q^{4}+q^{5}-\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8085.2.a', 'trace_display': [0, -6, 6, 0], 'trace_hash': 163136776907561662, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.034', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.451', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.236', 'prec': 17}, {'__RealLiteral__': 0, 'data': '83.932', 'prec': 20}, {'__RealLiteral__': 0, 'data': '68.270', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1916.317', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, 'traces': [6, 0, -6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 8, 0, -6, -8, 6, 0, -6, 0, 0, 0, -14, 0, 6, -4, -6, 0, -6, 0, -12, 0, -6, -8, 0, 0, -12, 20, -8, 0, -8, 0, -30, 0, 6, -16, 0, 8, 0, 0, -6, 4, -2, 0, 6, 0, 6, -20, -2, 0, -10, -16, 0, -4, 8, 0, -24, -16, 14, 0, -4, 0, 32, 4, -6, 16, 0, 4, -20, -8, 6, -36, -6, 0, 6, -8, 6, 0, -6, 0, 0, -24, 12, 4, -6, 0, 34, 0, 6, 0, -16, 8, 22, -20, 0, -12, -28, 0, -4, 0, 12, 0, -14, -20, -14, -16, 8, 24, 0, 0, 6, 28, 8, 4, 6, 0, -18, 0, 30, -4, -20, 0, 0, 44, -6, 28, -28, 16, -24, 0, 0, 4, 8, -8, -6, 24, 0, 48, -36, 0, -16, 16, 6, 0, -12, -4, 46, -16, 2, 0, 0, 0, -52, -4, -6, 32, -20, 0, -30, -8, -6, -32, -4, 20, 0, -8, 2, 0, -32, 0, -28, 0, 10, 20, -12, 16, 6, 32, 0, 20, 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'8085.2.a.bw.1.6', 'level': 8085, 'weight': 2}
-
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{'AL_dims': [[[[3, -1], [5, -1], [7, -1], [11, -1]], 9, 5], [[[3, 1], [5, 1], [7, -1], [11, -1]], 20, 5], [[[3, 1], [5, -1], [7, 1], [11, 1]], 15, 2], [[[3, -1], [5, 1], [7, 1], [11, 1]], 18, 2], [[[3, -1], [5, -1], [7, 1], [11, 1]], 14, 5], [[[3, 1], [5, 1], [7, -1], [11, 1]], 14, 10], [[[3, 1], [5, -1], [7, -1], [11, -1]], 20, 5], [[[3, -1], [5, 1], [7, 1], [11, -1]], 12, 2], [[[3, -1], [5, -1], [7, 1], [11, -1]], 24, 2], [[[3, -1], [5, -1], [7, -1], [11, 1]], 21, 8], [[[3, 1], [5, 1], [7, 1], [11, 1]], 19, 2], [[[3, 1], [5, -1], [7, -1], [11, 1]], 20, 5], [[[3, 1], [5, 1], [7, 1], [11, -1]], 17, 3], [[[3, -1], [5, 1], [7, -1], [11, -1]], 21, 5], [[[3, 1], [5, -1], [7, 1], [11, -1]], 13, 2], [[[3, -1], [5, 1], [7, -1], [11, 1]], 15, 5]], 'ALdims': [19, 17, 14, 20, 15, 13, 20, 20, 18, 12, 15, 21, 14, 24, 21, 9], 'Nk2': 32340, 'analytic_conductor': 64.55905003420519, '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': [8085, 1, [2696, 4852, 1816, 3676], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1313, 'dim': 272, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 13, 17], 'hecke_orbit_code': 33562517, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 14, 14], 'label': '8085.2.a', 'level': 8085, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7, 11], 'level_radical': 1155, 'mf_dim': 1376, 'mf_new_dim': 272, 'num_forms': 68, 'plus_dim': 122, 'prim_orbit_index': 1, 'relative_dim': 272, 'sturm_bound': 2688, 'trace_bound': 17, 'trace_display': [0, -4, 0, 0], 'traces': [272, 0, -4, 272, 0, 4, 0, 0, 272, 4, 0, -12, -16, 0, 4, 264, 8, 0, 8, -8, 0, 4, 16, 12, 272, -40, -4, 0, 0, 0, 0, -40, 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mf_twists_cc • Show schema
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id: 49030315
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 216172782147346325, 'source_is_minimal': True, 'source_label': '8085.2.a.bw.1.6', 'source_level': 8085, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 216172782147346325, 'target_is_minimal': True, 'target_label': '8085.2.a.bw.1.6', 'target_level': 8085, 'twist_class_label': '8085.2.a.bw.1.6', 'twist_class_level': 8085, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49030316
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 216172782147346325, 'source_is_minimal': True, 'source_label': '8085.2.a.bw.1.6', 'source_level': 8085, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 225179981402087317, 'target_is_minimal': True, 'target_label': '8085.2.a.by.1.6', 'target_level': 8085, 'twist_class_label': '8085.2.a.bw.1.6', 'twist_class_level': 8085, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4655250
{'charpoly_factorization': [[[-2, 0, 8, 0, -6, 0, 1], 1]], 'hecke_orbit_code': 216172782147346325, 'p': 2}
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id: 4655251
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 216172782147346325, 'p': 3}
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id: 4655252
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 216172782147346325, 'p': 5}
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id: 4655253
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 216172782147346325, 'p': 7}
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id: 4655254
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 216172782147346325, 'p': 11}
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id: 4655255
{'charpoly_factorization': [[[62, -52, -58, 48, 8, -8, 1], 1]], 'hecke_orbit_code': 216172782147346325, 'p': 13}
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id: 4655256
{'charpoly_factorization': [[[-25, -10, 67, 48, -7, -6, 1], 1]], 'hecke_orbit_code': 216172782147346325, 'p': 17}
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id: 4655257
{'charpoly_factorization': [[[449, -350, -773, -328, -33, 6, 1], 1]], 'hecke_orbit_code': 216172782147346325, 'p': 19}
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id: 4655258
{'charpoly_factorization': [[[-4097, 3278, -41, -372, 9, 14, 1], 1]], 'hecke_orbit_code': 216172782147346325, 'p': 23}
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id: 4655259
{'charpoly_factorization': [[[-431, 690, 237, -136, -29, 6, 1], 1]], 'hecke_orbit_code': 216172782147346325, 'p': 29}
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id: 4655260
{'charpoly_factorization': [[[626, 2920, 0, -396, -12, 12, 1], 1]], 'hecke_orbit_code': 216172782147346325, 'p': 31}
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id: 4655261
{'charpoly_factorization': [[[-5266, 5132, 262, -796, -58, 12, 1], 1]], 'hecke_orbit_code': 216172782147346325, 'p': 37}
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id: 4655262
{'charpoly_factorization': [[[2978, 7380, 1058, -528, -74, 8, 1], 1]], 'hecke_orbit_code': 216172782147346325, 'p': 41}
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id: 4655263
{'charpoly_factorization': [[[-42641, -33610, -6377, 532, 287, 30, 1], 1]], 'hecke_orbit_code': 216172782147346325, 'p': 43}
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id: 4655264
{'charpoly_factorization': [[[-562, -2200, 1564, 160, -116, 0, 1], 1]], 'hecke_orbit_code': 216172782147346325, 'p': 47}
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id: 4655265
{'charpoly_factorization': [[[-61297, -12122, 9907, -40, -199, 2, 1], 1]], 'hecke_orbit_code': 216172782147346325, 'p': 53}
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id: 4655266
{'charpoly_factorization': [[[9001, 8782, 1065, -720, -145, 2, 1], 1]], 'hecke_orbit_code': 216172782147346325, 'p': 59}
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id: 4655267
{'charpoly_factorization': [[[2329, -1846, -4897, -1652, -121, 10, 1], 1]], 'hecke_orbit_code': 216172782147346325, 'p': 61}
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id: 4655268
{'charpoly_factorization': [[[-133600, -92160, -22352, -1808, 104, 24, 1], 1]], 'hecke_orbit_code': 216172782147346325, 'p': 67}
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id: 4655269
{'charpoly_factorization': [[[-38158, 36556, 11554, -776, -222, 4, 1], 1]], 'hecke_orbit_code': 216172782147346325, 'p': 71}
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id: 4655270
{'charpoly_factorization': [[[-467912, 279632, -55756, 3432, 202, -32, 1], 1]], 'hecke_orbit_code': 216172782147346325, 'p': 73}
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id: 4655271
{'charpoly_factorization': [[[-37342, -31000, -8952, -804, 84, 20, 1], 1]], 'hecke_orbit_code': 216172782147346325, 'p': 79}
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id: 4655272
{'charpoly_factorization': [[[-1433, 66, 1319, -216, -99, 6, 1], 1]], 'hecke_orbit_code': 216172782147346325, 'p': 83}
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id: 4655273
{'charpoly_factorization': [[[-665351, 97574, 33631, -1628, -347, 6, 1], 1]], 'hecke_orbit_code': 216172782147346325, 'p': 89}
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id: 4655274
{'charpoly_factorization': [[[823975, -19810, -40059, 3708, 205, -34, 1], 1]], 'hecke_orbit_code': 216172782147346325, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 49, 'label': '8085.2.a.bw', 'level': 8085, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 276997000
{'hecke_orbit_code': 216172782147346325, 'n': 1, 'trace_an': 6}
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id: 276997001
{'hecke_orbit_code': 216172782147346325, 'n': 2, 'trace_an': 0}
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id: 276997002
{'hecke_orbit_code': 216172782147346325, 'n': 3, 'trace_an': -6}
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id: 276997003
{'hecke_orbit_code': 216172782147346325, 'n': 4, 'trace_an': 0}
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id: 276997004
{'hecke_orbit_code': 216172782147346325, 'n': 5, 'trace_an': 6}
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id: 276997005
{'hecke_orbit_code': 216172782147346325, 'n': 6, 'trace_an': 0}
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id: 276997006
{'hecke_orbit_code': 216172782147346325, 'n': 7, 'trace_an': 0}
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id: 276997007
{'hecke_orbit_code': 216172782147346325, 'n': 8, 'trace_an': 0}
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id: 276997008
{'hecke_orbit_code': 216172782147346325, 'n': 9, 'trace_an': 6}
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id: 276997009
{'hecke_orbit_code': 216172782147346325, 'n': 10, 'trace_an': 0}
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id: 276997010
{'hecke_orbit_code': 216172782147346325, 'n': 11, 'trace_an': 6}
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id: 276997011
{'hecke_orbit_code': 216172782147346325, 'n': 12, 'trace_an': 0}
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id: 276997012
{'hecke_orbit_code': 216172782147346325, 'n': 13, 'trace_an': 8}
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id: 276997013
{'hecke_orbit_code': 216172782147346325, 'n': 14, 'trace_an': 0}
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id: 276997014
{'hecke_orbit_code': 216172782147346325, 'n': 15, 'trace_an': -6}
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id: 276997015
{'hecke_orbit_code': 216172782147346325, 'n': 16, 'trace_an': -8}
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id: 276997016
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