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{'Nk2': 33880, 'analytic_conductor': 67.63329051202449, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -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': [8470, 1, [6777, 6051, 7141], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 6, 'field_disc': 4642000, 'field_disc_factorization': [[2, 4], [5, 3], [11, 1], [211, 1]], 'field_poly': [-1, -9, 14, 5, -8, -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': [[3, [-1, 9, 14, -5, -8, 1, 1]], [13, [1516, 1208, -68, -214, -28, 6, 1]], [17, [4609, -1937, -1274, 151, 138, 21, 1]], [19, [-941, -891, 652, 149, -56, -3, 1]]], 'hecke_orbit': 80, 'hecke_orbit_code': 355784370595832086, 'hecke_ring_generator_nbound': 3, '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': False, 'label': '8470.2.a.db', 'level': 8470, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7, 11], 'level_radical': 770, 'minimal_twist': '770.2.n.g', 'nf_label': '6.6.4642000.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-\\beta _{1}q^{3}+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': '8470.2.a', 'trace_display': [6, -1, 6, -6], 'trace_hash': 1602786159383861317, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.589', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '87.546', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2267.096', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, 'traces': [6, 6, -1, 6, 6, -1, -6, 6, -1, 6, 0, -1, -6, -6, -1, 6, -21, -1, 3, 6, 1, 0, -10, -1, 6, -6, -4, -6, -10, -1, -4, 6, 0, -21, -6, -1, -2, 3, -26, 6, -7, 1, -19, 0, -1, -10, 10, -1, 6, 6, 4, -6, -16, -4, 0, -6, -16, -10, -3, -1, 8, -4, 1, 6, -6, 0, -27, -21, 4, -6, 4, -1, -13, -2, -1, 3, 0, -26, -14, 6, -14, -7, -51, 1, -21, -19, -8, 0, 1, -1, 6, -10, 4, 10, 3, -1, 7, 6, 0, 6, -28, 4, -18, -6, 1, -16, -9, -4, -44, 0, -34, -6, 11, -16, -10, -10, 20, -3, 21, -1, 0, 8, -33, -4, 6, 1, -22, 6, 3, -6, 5, 0, -3, -27, -4, -21, -25, 4, 40, -6, 20, 4, 0, -1, -10, -13, -1, -2, -44, -1, 16, 3, -38, 0, -4, -26, 42, -14, 14, 6, 10, -14, -11, -7, 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{'AL_dims': [[[[2, -1], [5, -1], [7, -1], [11, -1]], 10, 6], [[[2, 1], [5, -1], [7, 1], [11, 1]], 13, 3], [[[2, -1], [5, 1], [7, 1], [11, 1]], 17, 4], [[[2, -1], [5, -1], [7, 1], [11, 1]], 12, 3], [[[2, 1], [5, -1], [7, -1], [11, -1]], 15, 6], [[[2, 1], [5, 1], [7, -1], [11, -1]], 15, 6], [[[2, -1], [5, 1], [7, 1], [11, -1]], 10, 7], [[[2, -1], [5, -1], [7, 1], [11, -1]], 15, 7], [[[2, -1], [5, -1], [7, -1], [11, 1]], 17, 4], [[[2, 1], [5, -1], [7, 1], [11, -1]], 15, 7], [[[2, 1], [5, 1], [7, 1], [11, -1]], 15, 7], [[[2, 1], [5, 1], [7, 1], [11, 1]], 12, 6], [[[2, -1], [5, 1], [7, -1], [11, -1]], 15, 7], [[[2, -1], [5, 1], [7, -1], [11, 1]], 12, 5], [[[2, 1], [5, 1], [7, -1], [11, 1]], 13, 5], [[[2, 1], [5, -1], [7, -1], [11, 1]], 12, 3]], 'ALdims': [12, 15, 13, 15, 13, 15, 12, 15, 17, 10, 12, 15, 12, 15, 17, 10], 'Nk2': 33880, 'analytic_conductor': 67.63329051202449, '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': [8470, 1, [6777, 6051, 7141], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1537, 'dim': 218, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 13, 17, 19], 'hecke_orbit_code': 33562902, '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, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8], 'label': '8470.2.a', 'level': 8470, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7, 11], 'level_radical': 770, 'mf_dim': 1632, 'mf_new_dim': 218, 'num_forms': 86, 'plus_dim': 98, 'prim_orbit_index': 1, 'relative_dim': 218, 'sturm_bound': 3168, 'trace_bound': 13, 'trace_display': [-2, -4, 0, 0], 'traces': [218, -2, -4, 218, 0, -4, 0, -2, 210, 0, 0, -4, -8, 0, -4, 218, -4, -10, -4, 0, 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mf_twists_cc • Show schema
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id: 49152278
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 355784370595832086, 'source_is_minimal': False, 'source_label': '8470.2.a.db.1.6', 'source_level': 8470, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 355784370595832086, 'target_is_minimal': False, 'target_label': '8470.2.a.db.1.6', 'target_level': 8470, 'twist_class_label': '770.2.n.g.421.3', 'twist_class_level': 770, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49152279
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 355784370595832086, 'source_is_minimal': False, 'source_label': '8470.2.a.db.1.6', 'source_level': 8470, 'target_conrey_index': 421, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022491150975746, 'target_is_minimal': True, 'target_label': '770.2.n.g.421.3', 'target_level': 770, 'twist_class_label': '770.2.n.g.421.3', 'twist_class_level': 770, 'twisting_char_label': '11.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 49152280
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 355784370595832086, 'source_is_minimal': False, 'source_label': '8470.2.a.db.1.6', 'source_level': 8470, 'target_conrey_index': 631, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022491150975746, 'target_is_minimal': True, 'target_label': '770.2.n.g.631.3', 'target_level': 770, 'twist_class_label': '770.2.n.g.421.3', 'twist_class_level': 770, 'twisting_char_label': '11.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 49152281
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 355784370595832086, 'source_is_minimal': False, 'source_label': '8470.2.a.db.1.6', 'source_level': 8470, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 328762772831609110, 'target_is_minimal': False, 'target_label': '8470.2.a.cv.1.6', 'target_level': 8470, 'twist_class_label': '770.2.n.g.421.3', 'twist_class_level': 770, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4764950
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 355784370595832086, 'p': 2}
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id: 4764951
{'charpoly_factorization': [[[-1, 9, 14, -5, -8, 1, 1], 1]], 'hecke_orbit_code': 355784370595832086, 'p': 3}
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id: 4764952
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 355784370595832086, 'p': 5}
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id: 4764953
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 355784370595832086, 'p': 7}
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id: 4764954
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 355784370595832086, 'p': 11}
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id: 4764955
{'charpoly_factorization': [[[1516, 1208, -68, -214, -28, 6, 1], 1]], 'hecke_orbit_code': 355784370595832086, 'p': 13}
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id: 4764956
{'charpoly_factorization': [[[4609, -1937, -1274, 151, 138, 21, 1], 1]], 'hecke_orbit_code': 355784370595832086, 'p': 17}
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id: 4764957
{'charpoly_factorization': [[[-941, -891, 652, 149, -56, -3, 1], 1]], 'hecke_orbit_code': 355784370595832086, 'p': 19}
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id: 4764958
{'charpoly_factorization': [[[576, 288, -704, -312, -8, 10, 1], 1]], 'hecke_orbit_code': 355784370595832086, 'p': 23}
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id: 4764959
{'charpoly_factorization': [[[-24676, 21524, 2036, -1074, -102, 10, 1], 1]], 'hecke_orbit_code': 355784370595832086, 'p': 29}
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id: 4764960
{'charpoly_factorization': [[[164, -380, 272, -34, -26, 4, 1], 1]], 'hecke_orbit_code': 355784370595832086, 'p': 31}
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id: 4764961
{'charpoly_factorization': [[[10796, 8844, 932, -546, -108, 2, 1], 1]], 'hecke_orbit_code': 355784370595832086, 'p': 37}
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id: 4764962
{'charpoly_factorization': [[[-15829, 1815, 4552, -613, -134, 7, 1], 1]], 'hecke_orbit_code': 355784370595832086, 'p': 41}
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id: 4764963
{'charpoly_factorization': [[[2979, -783, -1514, -211, 78, 19, 1], 1]], 'hecke_orbit_code': 355784370595832086, 'p': 43}
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id: 4764964
{'charpoly_factorization': [[[704, -288, -896, 424, -24, -10, 1], 1]], 'hecke_orbit_code': 355784370595832086, 'p': 47}
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id: 4764965
{'charpoly_factorization': [[[6764, 5768, -6004, -1674, -42, 16, 1], 1]], 'hecke_orbit_code': 355784370595832086, 'p': 53}
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id: 4764966
{'charpoly_factorization': [[[-881, -4361, 3272, -13, -152, 3, 1], 1]], 'hecke_orbit_code': 355784370595832086, 'p': 59}
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id: 4764967
{'charpoly_factorization': [[[-2650964, -170580, 55392, 2362, -404, -8, 1], 1]], 'hecke_orbit_code': 355784370595832086, 'p': 61}
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id: 4764968
{'charpoly_factorization': [[[-103099, -76739, -18804, -1197, 172, 27, 1], 1]], 'hecke_orbit_code': 355784370595832086, 'p': 67}
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id: 4764969
{'charpoly_factorization': [[[-171684, -600, 13384, 98, -266, -4, 1], 1]], 'hecke_orbit_code': 355784370595832086, 'p': 71}
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id: 4764970
{'charpoly_factorization': [[[-5931, 5469, 1322, -603, -72, 13, 1], 1]], 'hecke_orbit_code': 355784370595832086, 'p': 73}
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id: 4764971
{'charpoly_factorization': [[[342676, 255420, 17684, -3918, -286, 14, 1], 1]], 'hecke_orbit_code': 355784370595832086, 'p': 79}
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id: 4764972
{'charpoly_factorization': [[[43699, -73813, -388, 5683, 898, 51, 1], 1]], 'hecke_orbit_code': 355784370595832086, 'p': 83}
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id: 4764973
{'charpoly_factorization': [[[-89321, 26647, 22746, 909, -372, -1, 1], 1]], 'hecke_orbit_code': 355784370595832086, 'p': 89}
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id: 4764974
{'charpoly_factorization': [[[401, -4093, -7166, 2845, -242, -7, 1], 1]], 'hecke_orbit_code': 355784370595832086, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 80, 'label': '8470.2.a.db', 'level': 8470, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 280868000
{'hecke_orbit_code': 355784370595832086, 'n': 1, 'trace_an': 6}
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id: 280868001
{'hecke_orbit_code': 355784370595832086, 'n': 2, 'trace_an': 6}
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id: 280868002
{'hecke_orbit_code': 355784370595832086, 'n': 3, 'trace_an': -1}
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id: 280868003
{'hecke_orbit_code': 355784370595832086, 'n': 4, 'trace_an': 6}
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id: 280868004
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