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{'Nk2': 18700, 'analytic_conductor': 37.33006294494858, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1], [11, 1], [17, -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': [4675, 1, [4302, 3401, 3301], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 2777, 'field_disc_factorization': [[2777, 1]], 'field_poly': [2, 1, -4, -1, 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, [4, 1, -5, 0, 1]], [3, [2, 1, -4, -1, 1]], [7, [8, -4, -8, 1, 1]]], 'hecke_orbit': 31, 'hecke_orbit_code': 135107988854673987, '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': '4675.2.a.be', 'level': 4675, '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': [5, 11, 17], 'level_radical': 935, 'minimal_twist': '935.2.a.g', 'nf_label': '4.4.2777.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{2}q^{2}+\\beta _{1}q^{3}+(1-\\beta _{3})q^{4}+(-1+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4675.2.a', 'trace_display': [0, 1, 0, -1], 'trace_hash': 670629788408387342, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.086', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.893', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.657', 'prec': 17}, {'__RealLiteral__': 0, 'data': '41.851', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.268', 'prec': 17}, {'__RealLiteral__': 0, 'data': '674.179', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, 'traces': [4, 0, 1, 2, 0, -1, -1, -3, -3, 0, -4, 0, 13, -4, 0, -10, 4, 9, -2, 0, 8, 0, -5, -8, 0, -6, 4, 8, 12, 0, -2, -1, -1, 0, 0, -5, 1, 4, -4, 0, 2, 0, 7, -2, 0, -3, 19, -1, -11, 0, 1, 1, 17, 15, 0, -12, 18, 11, 6, 0, -15, 12, 5, 1, 0, 1, 7, 2, -8, 0, -8, -11, 25, 28, 0, -20, 1, -5, -7, 0, -8, -9, -5, 4, 0, 23, 20, 3, 16, 0, -16, -17, 14, -10, 0, 26, 11, -16, 3, 0, 12, -1, 7, 9, 0, 2, 3, -9, 28, 0, -12, -2, 1, 38, 0, -7, -23, 48, -1, 0, 4, -4, -1, 10, 0, 10, 29, 33, 27, 0, 24, 0, 0, 26, 0, -3, 33, 9, -24, 0, 12, -40, -13, 2, 0, -26, -9, 1, 18, 0, -26, -2, -3, 4, 0, 6, 9, 1, 26, 0, -20, -35, 3, 28, 0, -12, -18, -6, 9, 0, 24, -22, 39, 27, 0, 10, 14, 13, 22, 0, 2, -2, -16, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [28, 34, 32, 26, 33, 29, 33, 37], 'Nk2': 18700, 'analytic_conductor': 37.33006294494858, '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': [4675, 1, [4302, 3401, 3301], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 529, 'dim': 252, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3, 7], 'hecke_orbit_code': 33559107, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 9, 11, 11, 11, 11, 12, 12, 13, 13, 18, 18, 22, 22], 'label': '4675.2.a', 'level': 4675, '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': [5, 11, 17], 'level_radical': 935, 'mf_dim': 552, 'mf_new_dim': 252, 'num_forms': 47, 'plus_dim': 116, 'prim_orbit_index': 1, 'relative_dim': 252, 'sturm_bound': 1080, 'trace_bound': 7, 'trace_display': [0, -2, 0, -12], 'traces': [252, 0, -2, 248, 0, -4, -12, 0, 258, 0, 4, -16, -20, 28, 0, 240, 0, 32, -28, 0, 0, -2, 10, 28, 0, -16, -26, -28, 32, 0, -26, 20, 2, 4, 0, 252, -26, 16, -40, 0, -4, 40, -20, 10, 0, 56, 22, -36, 214, 0, 0, -16, 14, -4, 0, 88, 8, -20, -16, 0, -20, 8, -28, 224, 0, -20, -20, 0, 14, 0, -2, 124, -64, 52, 0, -12, -2, 76, -92, 0, 332, 40, -28, 124, 0, 104, 0, 18, 20, 0, -128, 32, -58, -40, 0, 164, -50, 28, -18, 0, -36, 16, -6, 32, 0, 12, 112, -4, -40, 0, -74, -8, -38, 80, 0, 108, -120, 76, 18, 0, 252, -108, 16, -92, 0, 16, 20, 40, -128, 0, 24, 8, -48, -92, 0, 12, 68, 76, -44, 0, -92, 44, -24, 200, 0, -144, -14, -40, 24, 0, 0, -16, -8, 0, 0, -204, -48, 16, -12, 0, 4, 104, 56, -192, 0, 112, -40, 232, 148, 0, -8, -12, -40, -136, 0, 6, 86, -116, -44, 0, 22, 196, -60, 76, 0, -76, -4, 140, -120, 0, 30, 32, -36, -4, 0, 4, 28, -10, -52, 0, 82, 88, 46, 0, 0, -188, 8, -28, 8, 0, -56, 116, 10, -124, 0, 144, 8, 24, -48, 0, 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-100, 304, 0, -88, -88, -24, 140, 0, 210, 772, -90, 108, 0, 508, 152, -148, -44, 0, 28, -196, 256, -80, 0, -320, 288, -92, 0, 0, 16, 96, 344, 472, 0, -668, 24, 384, 196, 0, 516, 876, -40, -144, 0, 120, 326, 44, -196, 0, 332, -256, 80, -268, 0, -292, 346, 368, 156, 0, -412, -236, 280, 312, 0, -112, -176, -212, 134, 0, -212, -520, 108, 56, 0, 48, 246, 424, -68, 0, 274, -64, -140, 248, 0, 236, 80, -104, 364, 0, -62, 244, 24, 288, 0, -100, 128, 0, 52, 0, -214, -536, -42, 344, 0, -200, 340, -372, 34, 0, 380, -264, 222, -544, 0, -44, 96, 128, 96, 0, 32, -92, -190, -528, 0, -188, -80, -144, -126, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1218129
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '4675.2.a.be', 'source_level': 4675, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '935.2.a.g', 'target_level': 935, 'twist_class_label': '935.2.a.g', 'twist_class_level': 935, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1218130
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '4675.2.a.be', 'source_level': 4675, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '4675.2.a.be', 'target_level': 4675, 'twist_class_label': '935.2.a.g', 'twist_class_level': 935, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1218131
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '4675.2.a.be', 'source_level': 4675, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '8415.2.a.ba', 'target_level': 8415, 'twist_class_label': '935.2.a.g', 'twist_class_level': 935, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3673000
{'charpoly_factorization': [[[4, 1, -5, 0, 1], 1]], 'hecke_orbit_code': 135107988854673987, 'p': 2}
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id: 3673001
{'charpoly_factorization': [[[2, 1, -4, -1, 1], 1]], 'hecke_orbit_code': 135107988854673987, 'p': 3}
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id: 3673002
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 135107988854673987, 'p': 5}
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id: 3673003
{'charpoly_factorization': [[[8, -4, -8, 1, 1], 1]], 'hecke_orbit_code': 135107988854673987, 'p': 7}
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id: 3673004
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 135107988854673987, 'p': 11}
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id: 3673005
{'charpoly_factorization': [[[44, -87, 54, -13, 1], 1]], 'hecke_orbit_code': 135107988854673987, 'p': 13}
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id: 3673006
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 135107988854673987, 'p': 17}
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id: 3673007
{'charpoly_factorization': [[[128, -72, -36, 2, 1], 1]], 'hecke_orbit_code': 135107988854673987, 'p': 19}
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id: 3673008
{'charpoly_factorization': [[[-106, -83, -10, 5, 1], 1]], 'hecke_orbit_code': 135107988854673987, 'p': 23}
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id: 3673009
{'charpoly_factorization': [[[-1, -9, 25, -12, 1], 1]], 'hecke_orbit_code': 135107988854673987, 'p': 29}
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id: 3673010
{'charpoly_factorization': [[[-16, 48, -36, 2, 1], 1]], 'hecke_orbit_code': 135107988854673987, 'p': 31}
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id: 3673011
{'charpoly_factorization': [[[92, -81, -48, -1, 1], 1]], 'hecke_orbit_code': 135107988854673987, 'p': 37}
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id: 3673012
{'charpoly_factorization': [[[211, 13, -39, -2, 1], 1]], 'hecke_orbit_code': 135107988854673987, 'p': 41}
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id: 3673013
{'charpoly_factorization': [[[64, -27, -68, -7, 1], 1]], 'hecke_orbit_code': 135107988854673987, 'p': 43}
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id: 3673014
{'charpoly_factorization': [[[-328, -44, 92, -19, 1], 1]], 'hecke_orbit_code': 135107988854673987, 'p': 47}
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id: 3673015
{'charpoly_factorization': [[[-5224, 1388, -20, -17, 1], 1]], 'hecke_orbit_code': 135107988854673987, 'p': 53}
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id: 3673016
{'charpoly_factorization': [[[3061, 335, -119, -6, 1], 1]], 'hecke_orbit_code': 135107988854673987, 'p': 59}
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id: 3673017
{'charpoly_factorization': [[[1562, -591, -26, 15, 1], 1]], 'hecke_orbit_code': 135107988854673987, 'p': 61}
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id: 3673018
{'charpoly_factorization': [[[328, 236, -56, -7, 1], 1]], 'hecke_orbit_code': 135107988854673987, 'p': 67}
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id: 3673019
{'charpoly_factorization': [[[592, -352, -56, 8, 1], 1]], 'hecke_orbit_code': 135107988854673987, 'p': 71}
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id: 3673020
{'charpoly_factorization': [[[-856, -44, 160, -25, 1], 1]], 'hecke_orbit_code': 135107988854673987, 'p': 73}
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id: 3673021
{'charpoly_factorization': [[[-1136, -757, -114, 7, 1], 1]], 'hecke_orbit_code': 135107988854673987, 'p': 79}
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id: 3673022
{'charpoly_factorization': [[[626, -201, -114, 5, 1], 1]], 'hecke_orbit_code': 135107988854673987, 'p': 83}
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id: 3673023
{'charpoly_factorization': [[[61, 109, 29, -16, 1], 1]], 'hecke_orbit_code': 135107988854673987, 'p': 89}
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id: 3673024
{'charpoly_factorization': [[[656, -19, -170, -11, 1], 1]], 'hecke_orbit_code': 135107988854673987, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 31, 'label': '4675.2.a.be', 'level': 4675, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 68523229
{'hecke_orbit_code': 135107988854673987, 'n': 1, 'trace_an': 4}
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id: 68523230
{'hecke_orbit_code': 135107988854673987, 'n': 2, 'trace_an': 0}
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id: 68523231
{'hecke_orbit_code': 135107988854673987, 'n': 3, 'trace_an': 1}
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id: 68523232
{'hecke_orbit_code': 135107988854673987, 'n': 4, 'trace_an': 2}
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id: 68523233
{'hecke_orbit_code': 135107988854673987, 'n': 5, 'trace_an': 0}
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id: 68523234
{'hecke_orbit_code': 135107988854673987, 'n': 6, 'trace_an': -1}
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id: 68523235
{'hecke_orbit_code': 135107988854673987, 'n': 7, 'trace_an': -1}
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id: 68523236
{'hecke_orbit_code': 135107988854673987, 'n': 8, 'trace_an': -3}
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id: 68523237
{'hecke_orbit_code': 135107988854673987, 'n': 9, 'trace_an': -3}
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id: 68523238
{'hecke_orbit_code': 135107988854673987, 'n': 10, 'trace_an': 0}
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id: 68523239
{'hecke_orbit_code': 135107988854673987, 'n': 11, 'trace_an': -4}
-
id: 68523240
{'hecke_orbit_code': 135107988854673987, 'n': 12, 'trace_an': 0}
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id: 68523241
{'hecke_orbit_code': 135107988854673987, 'n': 13, 'trace_an': 13}
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id: 68523242
{'hecke_orbit_code': 135107988854673987, 'n': 14, 'trace_an': -4}
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id: 68523243
{'hecke_orbit_code': 135107988854673987, 'n': 15, 'trace_an': 0}
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id: 68523244
{'hecke_orbit_code': 135107988854673987, 'n': 16, 'trace_an': -10}
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id: 68523245
{'hecke_orbit_code': 135107988854673987, 'n': 17, 'trace_an': 4}
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id: 68523246
{'hecke_orbit_code': 135107988854673987, 'n': 18, 'trace_an': 9}
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id: 68523247
{'hecke_orbit_code': 135107988854673987, 'n': 19, 'trace_an': -2}
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