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{'Nk2': 19368, 'analytic_conductor': 38.66356465870396, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [269, 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': [4842, 1, [2153, 271], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 4913, 'field_disc_factorization': [[17, 3]], 'field_poly': [1, 1, -6, -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': [[5, [-4, -6, 3, 5, 1]], [7, [1, -1, -6, 1, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679893738, 'hecke_ring_generator_nbound': 7, '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': '4842.2.a.j', 'level': 4842, '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, 3, 269], 'level_radical': 1614, 'minimal_twist': '538.2.a.c', 'nf_label': '4.4.4913.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+(-1-\\beta _{1})q^{5}-\\beta _{2}q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4842.2.a', 'trace_display': [4, 0, -5, -1], 'trace_hash': 455848572830388361, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.924', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.48792836492648534, 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679893738, 'label': '4842.2.a.j.1.2', 'level': 4842, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [9, 14, 15, 18, 14, 9, 13, 21], 'Nk2': 19368, 'analytic_conductor': 38.66356465870396, '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': [4842, 1, [2153, 271], [1, 1]], 'conrey_index': 1, 'cusp_dim': 803, 'dim': 113, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33559274, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 5, 6, 6, 7, 7, 8, 8, 9, 9, 13, 13], 'label': '4842.2.a', 'level': 4842, '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, 3, 269], 'level_radical': 1614, 'mf_dim': 818, 'mf_new_dim': 113, 'num_forms': 21, 'plus_dim': 49, 'prim_orbit_index': 1, 'relative_dim': 113, 'sturm_bound': 1620, 'trace_bound': 7, 'trace_display': [1, 0, -4, -4], 'traces': [113, 1, 0, 113, -4, 0, -4, 1, 0, -2, 2, 0, 0, -4, 0, 113, 14, 0, -4, -4, 0, -8, -4, 0, 109, 6, 0, -4, 18, 0, 12, 1, 0, 2, -4, 0, 12, 10, 0, -2, 10, 0, 2, 2, 0, 0, -8, 0, 137, -1, 0, 0, -12, 0, 4, -4, 0, 12, 44, 0, 28, 4, 0, 113, 28, 0, -2, 14, 0, 16, -12, 0, 26, 6, 0, -4, 4, 0, 24, -4, 0, -10, 52, 0, -4, 20, 0, -8, -38, 0, -28, -4, 0, -4, -8, 0, 22, -7, 0, 109, -14, 0, 0, 6, 0, 6, -48, 0, -30, 12, 0, -4, 66, 0, -4, 18, 0, 14, 28, 0, 67, 30, 0, 12, -48, 0, 20, 1, 0, 20, -46, 0, 8, 4, 0, 2, -6, 0, 8, -4, 0, 12, -40, 0, -28, 18, 0, 12, 8, 0, -32, 10, 0, -16, -16, 0, -2, 4, 0, -2, -72, 0, 8, 10, 0, -10, 12, 0, 137, 44, 0, 2, -8, 0, -32, 2, 0, 14, -72, 0, 58, 4, 0, 0, -52, 0, -60, -8, 0, 52, -12, 0, -26, 2, 0, 137, -2, 0, -20, -1, 0, 28, 72, 0, 76, -16, 0, 0, -68, 0, 10, -12, 0, 22, 0, 0, -8, 64, 0, 4, 24, 0, 24, -4, 0, -2, 48, 0, 26, 52, 0, 12, -42, 0, 44, 44, 0, -20, 88, 0, 2, 37, 0, 28, -56, 0, 32, 4, 0, -12, 20, 0, -60, -16, 0, 113, -26, 0, -24, 28, 0, -44, -76, 0, 40, 32, 0, -2, 11, 0, 56, 14, 0, -22, 70, 0, -58, -4, 0, 16, 74, 0, -54, -12, 0, -24, 64, 0, 27, 80, 0, 26, 104, 0, 40, 6, 0, -34, -40, 0, 64, -4, 0, -4, 66, 0, 62, 4, 0, -8, 68, 0, -94, -60, 0, 24, 142, 0, -92, -4, 0, -72, 0, 0, 56, -10, 0, -10, 92, 0, -22, 52, 0, -24, 88, 0, 66, 135, 0, -4, 24, 0, -68, 20, 0, -34, -2, 0, -24, -10, 0, -8, 10, 0, 104, -38, 0, 90, 72, 0, 127, -48, 0, -28, 60, 0, 36, -4, 0, 76, 4, 0, 86, 16, 0, -4, -32, 0, -16, -8, 0, -64, -20, 0, 36, -18, 0, 22, -52, 0, -72, -7, 0, -12, -104, 0, 26, -12, 0, 109, 42, 0, -84, -14, 0, 4, -108, 0, -54, 36, 0, 0, 130, 0, -116, 6, 0, -56, 106, 0, -124, 20, 0, 6, 74, 0, 24, -48, 0, 72, -76, 0, 18, 40, 0, -30, -152, 0, -144, 12, 0, 20, 40, 0, -20, 12, 0, -4, -90, 0, -136, 66, 0, 10, -24, 0, 74, 28, 0, -4, 70, 0, 28, 18, 0, -82, 8, 0, 140, 20, 0, 14, -48, 0, 28, 28, 0, 36, 136, 0, -24, 30, 0, 67, 48, 0, 48, 30, 0, -10, 78, 0, 8, -146, 0, 12, -64, 0, -132, -48, 0, 54, -52, 0, -44, 0, 0, 20, 70, 0, 40, 1, 0, -26, -76, 0, -36, 68, 0, 20, 94, 0, -140, -46, 0, 80, -204, 0, 177, -20, 0, 8, 92, 0, -24, 4, 0, -5, 8, 0, -122, 50, 0, 2, 204, 0, -56, -6, 0, -36, -132, 0, -40, 66, 0, 8, -30, 0, -92, -4, 0, 46, 176, 0, -4, 76, 0, 12, -2, 0, -20, -40, 0, 42, -60, 0, -58, 51, 0, -28, 28, 0, -24, 18, 0, -62, -56, 0, -20, -112, 0, 12, -80, 0, -104, 8, 0, 136, -116, 0, 46, -10, 0, -32, -92, 0, -100, 10, 0, 68, -152, 0, -154, -20, 0, -16, -190, 0, -52, -16, 0, -60, 28, 0, 145, -6, 0, -2, -92, 0, -92, 4, 0, -32, -32, 0, 16, 10, 0, -2, 106, 0, 10, -72, 0, -4, -52, 0, 40, 134, 0, 8, 112, 0, -104, 10, 0, 152, 80, 0, -46, -20, 0, -10, 120, 0, -96, 12, 0, 20, -160, 0, 34, -118, 0, 137, -162, 0, 44, 44, 0, -78, 128, 0, 4, -44, 0, 2, 112, 0, -72, -8, 0, -24, 144, 0, -200, -74, 0, -32, 38, 0, 16, 2, 0, 22, -218, 0, 30, -2, 0, 14, 48, 0, -80, -72, 0, 68, -200, 0, -276, -35, 0, 58, 114, 0, -116, 4, 0, -144, -148, 0, -70, -26, 0, 0, -168, 0, -160, -52, 0, 16, 68, 0, -208, -132, 0, -60, -184, 0, -60, -8, 0, 144, -200, 0, -222, 86, 0, 52, 150, 0, 162, -12, 0, 32, -84, 0, 58, -16, 0, -26, -108, 0, -56, 2, 0, -82, -4, 0, -24, -84, 0, 137, -224, 0, -10, -2, 0, -156, 88, 0, -48, 70, 0, -20, -262, 0, -56, -1, 0, 34, -72, 0, 260, -104, 0, 28, -270, 0, -250, 72, 0, -192, -176, 0, -48, 6, 0, 76, -192, 0, -64, -16, 0, 40, -92, 0, 102, -248, 0, 0, 202, 0, -288, -68, 0, 16, -192, 0, 137, 66, 0, 10, 62, 0, -96, -12, 0, 38, 216, 0, 58, -180, 0, 22, -50, 0, 6, 0, 0, -138, -148, 0, -60, 50, 0, -8, 76, 0, -204, 64, 0, -12, -92, 0, -80, 8, 0, 4, -110, 0, -40, 24, 0, -10, -100, 0, -52, 8, 0, 24, -248, 0, 0, -4, 0, 62, -246, 0, 220, -12, 0, -2, 60, 0, -138, 48, 0, -172, -324, 0, 116, 26, 0, 26, -84, 0, -48, 52, 0, -32, 56, 0, -120, -92, 0, 12, 170, 0, 92, -42, 0, -38, -104, 0, -82, 90, 0, 44, 14, 0, 72, 44, 0, 40, -248, 0, -132, 126, 0, -20, 154, 0, -16, 88, 0, -16, 44, 0, 57, -68, 0, 2, -228, 0, 108, 37, 0, 156, 2, 0, 52, 112, 0, 28, -98, 0, -10, -56, 0, -196, 92, 0, -144, 136, 0, 32, 92, 0, 28, 4, 0, 120, -164, 0, -28, -28, 0, -12], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46813240
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532396679893738, 'source_is_minimal': False, 'source_label': '4842.2.a.j.1.2', 'source_level': 4842, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396679893738, 'target_is_minimal': False, 'target_label': '4842.2.a.j.1.2', 'target_level': 4842, 'twist_class_label': '538.2.a.c.1.4', 'twist_class_level': 538, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46813241
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532396679893738, 'source_is_minimal': False, 'source_label': '4842.2.a.j.1.2', 'source_level': 4842, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007199288295962, 'target_is_minimal': True, 'target_label': '538.2.a.c.1.4', 'target_level': 538, 'twist_class_label': '538.2.a.c.1.4', 'twist_class_level': 538, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46813242
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532396679893738, 'source_is_minimal': False, 'source_label': '4842.2.a.j.1.2', 'source_level': 4842, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543040720, 'target_is_minimal': False, 'target_label': '4304.2.a.e.1.1', 'target_level': 4304, 'twist_class_label': '538.2.a.c.1.4', 'twist_class_level': 538, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3722100
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 40532396679893738, 'p': 2}
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id: 3722101
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 40532396679893738, 'p': 3}
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id: 3722102
{'charpoly_factorization': [[[-4, -6, 3, 5, 1], 1]], 'hecke_orbit_code': 40532396679893738, 'p': 5}
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id: 3722103
{'charpoly_factorization': [[[1, -1, -6, 1, 1], 1]], 'hecke_orbit_code': 40532396679893738, 'p': 7}
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id: 3722104
{'charpoly_factorization': [[[-13, -3, 12, 7, 1], 1]], 'hecke_orbit_code': 40532396679893738, 'p': 11}
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id: 3722105
{'charpoly_factorization': [[[52, 30, -11, -4, 1], 1]], 'hecke_orbit_code': 40532396679893738, 'p': 13}
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id: 3722106
{'charpoly_factorization': [[[-16, -132, -45, 4, 1], 1]], 'hecke_orbit_code': 40532396679893738, 'p': 17}
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id: 3722107
{'charpoly_factorization': [[[16, 8, -24, -2, 1], 1]], 'hecke_orbit_code': 40532396679893738, 'p': 19}
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id: 3722108
{'charpoly_factorization': [[[52, 120, 79, 16, 1], 1]], 'hecke_orbit_code': 40532396679893738, 'p': 23}
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id: 3722109
{'charpoly_factorization': [[[17, 136, -51, 0, 1], 1]], 'hecke_orbit_code': 40532396679893738, 'p': 29}
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id: 3722110
{'charpoly_factorization': [[[-67, 101, -40, 1, 1], 1]], 'hecke_orbit_code': 40532396679893738, 'p': 31}
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id: 3722111
{'charpoly_factorization': [[[-188, -178, -41, 2, 1], 1]], 'hecke_orbit_code': 40532396679893738, 'p': 37}
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id: 3722112
{'charpoly_factorization': [[[52, 18, -23, -1, 1], 1]], 'hecke_orbit_code': 40532396679893738, 'p': 41}
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id: 3722113
{'charpoly_factorization': [[[1937, 457, -78, -9, 1], 1]], 'hecke_orbit_code': 40532396679893738, 'p': 43}
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id: 3722114
{'charpoly_factorization': [[[-1172, -548, -11, 13, 1], 1]], 'hecke_orbit_code': 40532396679893738, 'p': 47}
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id: 3722115
{'charpoly_factorization': [[[32, 14, 1], 2]], 'hecke_orbit_code': 40532396679893738, 'p': 53}
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id: 3722116
{'charpoly_factorization': [[[-188, -314, 61, 19, 1], 1]], 'hecke_orbit_code': 40532396679893738, 'p': 59}
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id: 3722117
{'charpoly_factorization': [[[268, 330, 133, 20, 1], 1]], 'hecke_orbit_code': 40532396679893738, 'p': 61}
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id: 3722118
{'charpoly_factorization': [[[101, -161, 78, -15, 1], 1]], 'hecke_orbit_code': 40532396679893738, 'p': 67}
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id: 3722119
{'charpoly_factorization': [[[-2228, -910, -41, 15, 1], 1]], 'hecke_orbit_code': 40532396679893738, 'p': 71}
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id: 3722120
{'charpoly_factorization': [[[6481, -615, -158, 7, 1], 1]], 'hecke_orbit_code': 40532396679893738, 'p': 73}
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id: 3722121
{'charpoly_factorization': [[[68, -170, 17, 17, 1], 1]], 'hecke_orbit_code': 40532396679893738, 'p': 79}
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id: 3722122
{'charpoly_factorization': [[[1024, -1984, -284, 6, 1], 1]], 'hecke_orbit_code': 40532396679893738, 'p': 83}
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id: 3722123
{'charpoly_factorization': [[[-191, -44, 65, 20, 1], 1]], 'hecke_orbit_code': 40532396679893738, 'p': 89}
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id: 3722124
{'charpoly_factorization': [[[27196, 690, -343, -3, 1], 1]], 'hecke_orbit_code': 40532396679893738, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 10, 'label': '4842.2.a.j', 'level': 4842, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 52829605
{'hecke_orbit_code': 40532396679893738, 'n': 1, 'trace_an': 4}
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id: 52829606
{'hecke_orbit_code': 40532396679893738, 'n': 2, 'trace_an': 4}
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id: 52829607
{'hecke_orbit_code': 40532396679893738, 'n': 3, 'trace_an': 0}
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id: 52829608
{'hecke_orbit_code': 40532396679893738, 'n': 4, 'trace_an': 4}
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id: 52829609
{'hecke_orbit_code': 40532396679893738, 'n': 5, 'trace_an': -5}
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id: 52829610
{'hecke_orbit_code': 40532396679893738, 'n': 6, 'trace_an': 0}
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id: 52829611
{'hecke_orbit_code': 40532396679893738, 'n': 7, 'trace_an': -1}
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id: 52829612
{'hecke_orbit_code': 40532396679893738, 'n': 8, 'trace_an': 4}
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id: 52829613
{'hecke_orbit_code': 40532396679893738, 'n': 9, 'trace_an': 0}
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id: 52829614
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