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{'Nk2': 32136, 'analytic_conductor': 64.15181298389666, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [13, -1], [103, 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': [8034, 1, [5357, 1237, 5773], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 9, 'field_disc': 29207228365481, 'field_disc_factorization': [[17, 2], [31, 2], [105164489, 1]], 'field_poly': [8, -54, 87, 37, -123, 7, 45, -9, -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': [[5, [-8, -54, -87, 37, 123, 7, -45, -9, 4, 1]], [7, [200, -199, -929, -210, 456, 139, -74, -22, 4, 1]]], 'hecke_orbit': 18, 'hecke_orbit_code': 76561193698860898, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8034.2.a.r', 'level': 8034, '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': True, 'level_primes': [2, 3, 13, 103], 'level_radical': 8034, 'minimal_twist': '8034.2.a.r', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-q^{3}+q^{4}-\\beta _{1}q^{5}-q^{6}-\\beta _{3}q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 9, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8034.2.a', 'trace_display': [9, -9, -4, -4], 'trace_hash': 2241044180178020305, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.527', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '162.726', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5445.312', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, 'traces': [9, 9, -9, 9, -4, -9, -4, 9, 9, -4, -5, -9, 9, -4, 4, 9, -6, 9, -4, -4, 4, -5, -6, -9, -11, 9, -9, -4, -19, 4, -6, 9, 5, -6, 10, 9, -13, -4, -9, -4, -18, 4, -20, -5, -4, -6, 14, -9, -3, -11, 6, 9, -3, -9, -4, -4, 4, -19, -9, 4, -24, -6, -4, 9, -4, 5, -4, -6, 6, 10, -9, 9, -24, -13, 11, -4, 3, -9, -15, -4, 9, -18, 20, 4, -31, -20, 19, -5, 3, -4, -4, -6, 6, 14, -4, -9, -19, -3, -5, -11, 7, 6, -9, 9, -10, -3, -10, -9, -14, -4, 13, -4, 13, 4, 8, -19, 9, -9, -22, 4, -60, -24, 18, -6, 3, -4, 10, 9, 20, -4, -13, 5, -40, -4, 4, -6, -43, 6, -24, 10, -14, -9, -5, 9, -32, -24, 3, -13, -6, 11, 31, -4, -6, 3, -8, -9, -57, -15, 3, -4, -3, 9, -28, -18, 4, 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-0.28018968696426866, -0.2551068801406608, -0.22652021451461463, -0.3351363898801002, -0.406329781967498, -0.2029784598629315, -0.23617234102436513, -0.14670099478456064, -0.2209421745079449, -0.16444510804419496, -0.32158933664826683, -0.41764822850497724, -0.14542739273135372, -0.3130215652125503, -0.2980197886312872], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 5, 'dual_embedding_m': 5, 'embedding_index': 5, 'embedding_m': 5, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.4354433869798972, 'hecke_orbit': 18, 'hecke_orbit_code': 76561193698860898, 'label': '8034.2.a.r.1.5', 'level': 8034, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [12, 14, 15, 10, 12, 14, 12, 13, 15, 11, 9, 16, 9, 17, 18, 8], 'Nk2': 32136, 'analytic_conductor': 64.15181298389666, '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': [8034, 1, [5357, 1237, 5773], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1449, 'dim': 205, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33562466, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 7, 8, 8, 9, 10, 11, 11, 11, 12, 13, 13, 14, 14, 14, 15, 16], 'label': '8034.2.a', 'level': 8034, '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': True, 'level_primes': [2, 3, 13, 103], 'level_radical': 8034, 'mf_dim': 1464, 'mf_new_dim': 205, 'num_forms': 30, 'plus_dim': 85, 'prim_orbit_index': 1, 'relative_dim': 205, 'sturm_bound': 2912, 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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': 9, 'source_embedding_index': 5, 'source_hecke_orbit_code': 76561193698860898, 'source_is_minimal': True, 'source_label': '8034.2.a.r.1.5', 'source_level': 8034, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 5, 'target_hecke_orbit_code': 76561193698860898, 'target_is_minimal': True, 'target_label': '8034.2.a.r.1.5', 'target_level': 8034, 'twist_class_label': '8034.2.a.r.1.5', 'twist_class_level': 8034, '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: 4640775
{'charpoly_factorization': [[[-1, 1], 9]], 'hecke_orbit_code': 76561193698860898, 'p': 2}
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id: 4640776
{'charpoly_factorization': [[[1, 1], 9]], 'hecke_orbit_code': 76561193698860898, 'p': 3}
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id: 4640777
{'charpoly_factorization': [[[-8, -54, -87, 37, 123, 7, -45, -9, 4, 1], 1]], 'hecke_orbit_code': 76561193698860898, 'p': 5}
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id: 4640778
{'charpoly_factorization': [[[200, -199, -929, -210, 456, 139, -74, -22, 4, 1], 1]], 'hecke_orbit_code': 76561193698860898, 'p': 7}
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id: 4640779
{'charpoly_factorization': [[[62, -63, -189, 96, 179, -20, -60, -7, 5, 1], 1]], 'hecke_orbit_code': 76561193698860898, 'p': 11}
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id: 4640780
{'charpoly_factorization': [[[-1, 1], 9]], 'hecke_orbit_code': 76561193698860898, 'p': 13}
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id: 4640781
{'charpoly_factorization': [[[-4562, -15355, -13631, 1041, 3975, 538, -281, -48, 6, 1], 1]], 'hecke_orbit_code': 76561193698860898, 'p': 17}
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id: 4640782
{'charpoly_factorization': [[[-25904, -39618, 4909, 29658, 13546, 1083, -492, -82, 4, 1], 1]], 'hecke_orbit_code': 76561193698860898, 'p': 19}
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id: 4640783
{'charpoly_factorization': [[[32768, 52976, -30965, -21438, 7780, 2149, -441, -85, 6, 1], 1]], 'hecke_orbit_code': 76561193698860898, 'p': 23}
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id: 4640784
{'charpoly_factorization': [[[18820, 11736, -50163, -75589, -43209, -11671, -1256, 45, 19, 1], 1]], 'hecke_orbit_code': 76561193698860898, 'p': 29}
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id: 4640785
{'charpoly_factorization': [[[199652, -19580, -114211, -8810, 15724, 2071, -676, -106, 6, 1], 1]], 'hecke_orbit_code': 76561193698860898, 'p': 31}
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id: 4640786
{'charpoly_factorization': [[[370136, 657914, 424407, 105345, -5527, -8223, -1478, -41, 13, 1], 1]], 'hecke_orbit_code': 76561193698860898, 'p': 37}
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id: 4640787
{'charpoly_factorization': [[[1900, 4348, 1137, -3853, -3626, -1007, 94, 101, 18, 1], 1]], 'hecke_orbit_code': 76561193698860898, 'p': 41}
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id: 4640788
{'charpoly_factorization': [[[2944376, -1382426, -713157, 255353, 69686, -10096, -2856, -46, 20, 1], 1]], 'hecke_orbit_code': 76561193698860898, 'p': 43}
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id: 4640789
{'charpoly_factorization': [[[11242472, -6529462, -238831, 796600, -139834, -6547, 3278, -154, -14, 1], 1]], 'hecke_orbit_code': 76561193698860898, 'p': 47}
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id: 4640790
{'charpoly_factorization': [[[48526, 249663, -202045, -60115, 22892, 5148, -707, -158, 3, 1], 1]], 'hecke_orbit_code': 76561193698860898, 'p': 53}
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id: 4640791
{'charpoly_factorization': [[[6686528, 5480180, -1441719, -679502, 79124, 21592, -1533, -251, 9, 1], 1]], 'hecke_orbit_code': 76561193698860898, 'p': 59}
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id: 4640792
{'charpoly_factorization': [[[-8840, -3162, 15929, 5663, -6170, -3144, -82, 154, 24, 1], 1]], 'hecke_orbit_code': 76561193698860898, 'p': 61}
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id: 4640793
{'charpoly_factorization': [[[-39059282, 20828449, 789840, -1570415, 50889, 38455, -1046, -351, 4, 1], 1]], 'hecke_orbit_code': 76561193698860898, 'p': 67}
-
id: 4640794
{'charpoly_factorization': [[[-7122160, -10689486, -4246533, 61734, 239501, 15255, -3475, -309, 9, 1], 1]], 'hecke_orbit_code': 76561193698860898, 'p': 71}
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id: 4640795
{'charpoly_factorization': [[[42267172, 53504045, 25054390, 5171458, 321771, -43861, -6980, -112, 24, 1], 1]], 'hecke_orbit_code': 76561193698860898, 'p': 73}
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id: 4640796
{'charpoly_factorization': [[[13472944, -12965946, -3709561, 1885625, 563173, 16251, -5698, -329, 15, 1], 1]], 'hecke_orbit_code': 76561193698860898, 'p': 79}
-
id: 4640797
{'charpoly_factorization': [[[-123824, 2009058, -2820857, 996862, -51248, -31407, 5325, -143, -20, 1], 1]], 'hecke_orbit_code': 76561193698860898, 'p': 83}
-
id: 4640798
{'charpoly_factorization': [[[-18020120, 11645106, 1176121, -1468401, -7449, 54156, 873, -451, -3, 1], 1]], 'hecke_orbit_code': 76561193698860898, 'p': 89}
-
id: 4640799
{'charpoly_factorization': [[[-110764, 189712, 43221, -181553, 62498, 3197, -2224, -80, 19, 1], 1]], 'hecke_orbit_code': 76561193698860898, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 18, 'label': '8034.2.a.r', 'level': 8034, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 242419000
{'hecke_orbit_code': 76561193698860898, 'n': 1, 'trace_an': 9}
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id: 242419001
{'hecke_orbit_code': 76561193698860898, 'n': 2, 'trace_an': 9}
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id: 242419002
{'hecke_orbit_code': 76561193698860898, 'n': 3, 'trace_an': -9}
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id: 242419003
{'hecke_orbit_code': 76561193698860898, 'n': 4, 'trace_an': 9}
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id: 242419004
{'hecke_orbit_code': 76561193698860898, 'n': 5, 'trace_an': -4}
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id: 242419005
{'hecke_orbit_code': 76561193698860898, 'n': 6, 'trace_an': -9}
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id: 242419006
{'hecke_orbit_code': 76561193698860898, 'n': 7, 'trace_an': -4}
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id: 242419007
{'hecke_orbit_code': 76561193698860898, 'n': 8, 'trace_an': 9}
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id: 242419008
{'hecke_orbit_code': 76561193698860898, 'n': 9, 'trace_an': 9}
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