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{'Nk2': 28420, 'analytic_conductor': 56.73371063611971, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, -1], [7, -1], [29, -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': [7105, 1, [1422, 6961, 2206], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 7, 'field_disc': 5354450896, 'field_disc_factorization': [[2, 4], [163, 1], [2053087, 1]], 'field_poly': [-1, 14, -31, 3, 21, -6, -3, 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, [-1, 14, -31, 3, 21, -6, -3, 1]], [3, [16, -64, 32, 68, -13, -16, 1, 1]], [17, [256, 2048, 192, -632, -129, 43, 14, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326230465, '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': '7105.2.a.s', 'level': 7105, '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, 7, 29], 'level_radical': 1015, 'minimal_twist': '1015.2.a.k', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-\\beta _{5}q^{3}+(1+\\beta _{2})q^{4}+q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 7, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7105.2.a', 'trace_display': [3, -1, 7, 0], 'trace_hash': 1491798075715192968, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.063', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.298', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.682', 'prec': 17}, {'__RealLiteral__': 0, 'data': '123.229', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3845.951', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, 'traces': [7, 3, -1, 7, 7, 4, 0, 6, 12, 3, 7, 3, -5, 0, -1, 7, -14, 29, 9, 7, 0, 9, 12, -12, 7, 3, -4, 0, 7, 4, 7, 20, -14, -17, 0, 15, 23, 1, -5, 6, -13, 0, 31, 6, 12, 5, 6, -12, 0, 3, -10, 7, 23, 15, 7, 0, 29, 3, -4, 3, 4, 5, 0, -20, -5, 5, 13, -24, 29, 0, -11, 53, -8, 50, -1, 43, 0, -64, 0, 7, 19, -32, 6, 0, -14, 23, -1, 13, 5, 29, 0, 11, -24, 44, 9, -13, -4, 0, -7, 7, -10, -32, -9, -6, 0, -45, 28, 65, -23, 9, 29, 0, 22, 34, 12, 7, -34, 17, 0, -12, -12, 16, -18, -14, 7, 0, 16, -41, -8, 3, -4, -4, 0, 41, -4, 8, 51, 91, -13, 0, -15, -48, -19, 84, 7, -29, 0, 5, 41, 4, -12, 44, -23, 0, 7, -111, -21, 49, -57, 20, 0, 10, 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-0.1680267087946261, -0.3743641567303618, -0.21044467674546502, -0.37337486860140773, -0.3698422285243605, -0.37186965204314165, -0.1820268620259878, -0.15049535735462655, -0.1508545893607794, -0.08323150451173285, -0.06002810108392838, -0.055942426388021715, -0.3314627817805017, -0.3979060252221862, -0.27011891938561855, -0.2683287629102444, -0.1595032052121733, -0.28261516952449606, -0.22603218025710767, -0.16292058948384197, -0.354255837646234, -0.11916498662043612, -0.19729219863850456, -0.4047796752798188, -0.3030866588461307, -0.23661181873976034, -0.21952107249408467, -0.30701080884541204], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': -2.1929242047233077, 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326230465, 'label': '7105.2.a.s.1.1', 'level': 7105, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [45, 49, 52, 46, 49, 45, 46, 52], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4, 4, 4, 4, 4], 'ALdims_old': [46, 61, 61, 51, 53, 61, 61, 47], 'Nk2': 28420, 'analytic_conductor': 56.73371063611971, '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': [7105, 1, [1422, 6961, 2206], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 825, 'dim': 384, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3, 17], 'hecke_orbit_code': 33561537, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 6, 7, 7, 8, 11, 14, 14, 14, 14, 17, 17, 17, 17, 19, 19, 21, 21, 26, 26, 28, 28], 'label': '7105.2.a', 'level': 7105, '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, 7, 29], 'level_radical': 1015, 'mf_dim': 856, 'mf_new_dim': 384, 'num_forms': 37, 'plus_dim': 182, 'prim_orbit_index': 1, 'relative_dim': 384, 'sturm_bound': 1680, 'trace_bound': 5, 'trace_display': [-2, 0, 0, 0], 'traces': [384, -2, 0, 384, 0, -8, 0, -6, 376, -2, -4, 20, 16, 0, -4, 392, -8, 26, -4, 8, 0, 0, -4, -8, 384, 12, 0, 0, 0, -16, 12, -14, -24, -32, 0, 384, -32, 8, -48, -18, -40, 0, -48, -44, -8, -24, 0, 80, 0, -2, 32, 32, 8, 0, 16, 0, -48, -2, -16, 16, 16, -56, 0, 376, 8, 8, -44, -76, 32, 0, 24, 62, 12, 64, 0, -20, 0, 88, -36, 0, 384, 28, 36, 0, -20, -24, 12, 16, 16, -6, 0, 92, 72, 96, -16, -64, 12, 0, -164, 384, 0, 12, 20, 44, 0, 84, -132, 48, 8, 24, 0, 0, -20, -64, 4, 0, 96, 68, 0, -32, 392, 4, -80, 164, 0, 0, -16, 110, -24, 52, -116, 112, 0, -104, -16, -32, -16, -32, -24, 0, 56, -4, 16, 520, 4, 64, 0, -132, 24, -8, -184, 0, -136, 0, 16, -144, 84, 152, 48, -38, 0, 26, -240, -48, 16, -128, -28, 0, 456, 0, 20, -124, -48, 0, 0, -116, -56, 20, -32, -8, -56, 0, -104, -104, 28, -40, -88, -100, 0, -128, -4, 116, 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0, 384, -452, -328, -636, -144, 184, 0, -680, -544, -32, 272, 64, 216, 0, 0, -16, -112, -528, -12, 120, 0, 128, 292, -128, -32, -352, -72, 0, -408, -8, -16, 200, 372, 88, 0, -320, -168, -108, 392, 0, -264, 0, -380, 160, 112, -248, 104, -68, 0, -76, -68, 228, 144, 344, 72, 0, -248, -76, -12, 384, 104, 128, 0, -72, 136, -264, -408, -164, -112, 0, 148, -16, 36, -324, 80, 24, 0, -768, 16, 180, 32, -148, 192, 0, -32, 16, 228, 10, 184, -16, 0, -192, -16, -120, 128, 740, 168, 0, -280, -160, 176, 828, -128, 136, 0, -224, 208, -120, 80, 8, 416, 0, 40, 12, 0, -400, 56, 184, 0, -96, 568, -312, -28, -144, 60, 0, 296, -106, 176, 112, -108, -388, 0, 368, -48, 40, -448, -548, 256, 0, 336, 240, 160, 936, 64, -32, 0, 160, -64, 136, -104, 40, 8, 0, 40, -344, 28, 144, -24, -18], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48198967
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326230465, 'source_is_minimal': False, 'source_label': '7105.2.a.s.1.1', 'source_level': 7105, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326230465, 'target_is_minimal': False, 'target_label': '7105.2.a.s.1.1', 'target_level': 7105, 'twist_class_label': '1015.2.a.k.1.1', 'twist_class_level': 1015, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48198968
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326230465, 'source_is_minimal': False, 'source_label': '7105.2.a.s.1.1', 'source_level': 7105, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307260407, 'target_is_minimal': True, 'target_label': '1015.2.a.k.1.1', 'target_level': 1015, 'twist_class_label': '1015.2.a.k.1.1', 'twist_class_level': 1015, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48198969
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326230465, 'source_is_minimal': False, 'source_label': '7105.2.a.s.1.1', 'source_level': 7105, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 7, 'target_hecke_orbit_code': 135107988854678447, 'target_is_minimal': False, 'target_label': '9135.2.a.be.1.7', 'target_level': 9135, 'twist_class_label': '1015.2.a.k.1.1', 'twist_class_level': 1015, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 48198970
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326230465, 'source_is_minimal': False, 'source_label': '7105.2.a.s.1.1', 'source_level': 7105, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 7, 'target_hecke_orbit_code': 108086391090451411, 'target_is_minimal': False, 'target_label': '5075.2.a.y.1.7', 'target_level': 5075, 'twist_class_label': '1015.2.a.k.1.1', 'twist_class_level': 1015, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4381075
{'charpoly_factorization': [[[-1, 14, -31, 3, 21, -6, -3, 1], 1]], 'hecke_orbit_code': 81064793326230465, 'p': 2}
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id: 4381076
{'charpoly_factorization': [[[16, -64, 32, 68, -13, -16, 1, 1], 1]], 'hecke_orbit_code': 81064793326230465, 'p': 3}
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id: 4381077
{'charpoly_factorization': [[[-1, 1], 7]], 'hecke_orbit_code': 81064793326230465, 'p': 5}
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id: 4381078
{'charpoly_factorization': [[[0, 1], 7]], 'hecke_orbit_code': 81064793326230465, 'p': 7}
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id: 4381079
{'charpoly_factorization': [[[-32, 176, -248, -16, 97, -8, -7, 1], 1]], 'hecke_orbit_code': 81064793326230465, 'p': 11}
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id: 4381080
{'charpoly_factorization': [[[-32, -208, 288, 48, -93, -17, 5, 1], 1]], 'hecke_orbit_code': 81064793326230465, 'p': 13}
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id: 4381081
{'charpoly_factorization': [[[256, 2048, 192, -632, -129, 43, 14, 1], 1]], 'hecke_orbit_code': 81064793326230465, 'p': 17}
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id: 4381082
{'charpoly_factorization': [[[-2012, 4724, -1384, -1186, 533, -35, -9, 1], 1]], 'hecke_orbit_code': 81064793326230465, 'p': 19}
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id: 4381083
{'charpoly_factorization': [[[2752, 2528, -2752, -552, 429, -11, -12, 1], 1]], 'hecke_orbit_code': 81064793326230465, 'p': 23}
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id: 4381084
{'charpoly_factorization': [[[-1, 1], 7]], 'hecke_orbit_code': 81064793326230465, 'p': 29}
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id: 4381085
{'charpoly_factorization': [[[-16556, 18736, -5952, -394, 483, -48, -7, 1], 1]], 'hecke_orbit_code': 81064793326230465, 'p': 31}
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id: 4381086
{'charpoly_factorization': [[[-18244, 2776, 13340, -5646, 371, 136, -23, 1], 1]], 'hecke_orbit_code': 81064793326230465, 'p': 37}
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id: 4381087
{'charpoly_factorization': [[[-81556, 27264, 23024, 90, -1053, -58, 13, 1], 1]], 'hecke_orbit_code': 81064793326230465, 'p': 41}
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id: 4381088
{'charpoly_factorization': [[[69404, -53976, 8364, 4386, -2111, 374, -31, 1], 1]], 'hecke_orbit_code': 81064793326230465, 'p': 43}
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id: 4381089
{'charpoly_factorization': [[[82096, -53104, -49040, 9492, 1105, -193, -6, 1], 1]], 'hecke_orbit_code': 81064793326230465, 'p': 47}
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id: 4381090
{'charpoly_factorization': [[[-283600, 142320, 776, -9808, 1263, 87, -23, 1], 1]], 'hecke_orbit_code': 81064793326230465, 'p': 53}
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id: 4381091
{'charpoly_factorization': [[[634112, -217216, -24256, 12536, 35, -215, 4, 1], 1]], 'hecke_orbit_code': 81064793326230465, 'p': 59}
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id: 4381092
{'charpoly_factorization': [[[32, 288, -504, 52, 152, -40, -4, 1], 1]], 'hecke_orbit_code': 81064793326230465, 'p': 61}
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id: 4381093
{'charpoly_factorization': [[[-137600, -201280, -68208, 5436, 3211, -246, -13, 1], 1]], 'hecke_orbit_code': 81064793326230465, 'p': 67}
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id: 4381094
{'charpoly_factorization': [[[78512, -127520, 37568, 8780, -1311, -170, 11, 1], 1]], 'hecke_orbit_code': 81064793326230465, 'p': 71}
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id: 4381095
{'charpoly_factorization': [[[3409216, -1368320, 4240, 36732, -1205, -329, 8, 1], 1]], 'hecke_orbit_code': 81064793326230465, 'p': 73}
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id: 4381096
{'charpoly_factorization': [[[39968, -15152, -5944, 2560, 137, -97, 0, 1], 1]], 'hecke_orbit_code': 81064793326230465, 'p': 79}
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id: 4381097
{'charpoly_factorization': [[[6935600, -807200, -404752, 48496, 3249, -435, -6, 1], 1]], 'hecke_orbit_code': 81064793326230465, 'p': 83}
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id: 4381098
{'charpoly_factorization': [[[-354628, -200184, 11184, 13574, 339, -214, -5, 1], 1]], 'hecke_orbit_code': 81064793326230465, 'p': 89}
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id: 4381099
{'charpoly_factorization': [[[5888, -29824, 7936, 2968, -527, -121, 4, 1], 1]], 'hecke_orbit_code': 81064793326230465, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '7105.2.a.s', 'level': 7105, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 63212815
{'hecke_orbit_code': 81064793326230465, 'n': 1, 'trace_an': 7}
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id: 63212816
{'hecke_orbit_code': 81064793326230465, 'n': 2, 'trace_an': 3}
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id: 63212817
{'hecke_orbit_code': 81064793326230465, 'n': 3, 'trace_an': -1}
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id: 63212818
{'hecke_orbit_code': 81064793326230465, 'n': 4, 'trace_an': 7}
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