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{'Nk2': 34920, 'analytic_conductor': 69.70940096457778, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, -1], [97, -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': [8730, 1, [3881, 1747, 3691], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-4, 2, 1]], [11, [-2, 1]], [13, [5, 5, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326232090, 'hecke_ring_generator_nbound': 13, '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': '8730.2.a.s', 'level': 8730, '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, 5, 97], 'level_radical': 2910, 'minimal_twist': '970.2.a.d', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+q^{5}-2\\beta q^{7}-q^{8}-q^{10}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8730.2.a', 'trace_display': [-2, 0, 2, -2], 'trace_hash': 1485394934414932245, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.003', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.996', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '69.495', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, 'traces': [2, -2, 0, 2, 2, 0, -2, -2, 0, -2, 4, 0, -5, 2, 0, 2, 7, 0, -5, 2, 0, -4, -2, 0, 2, 5, 0, -2, -4, 0, -12, -2, 0, -7, -2, 0, 5, 5, 0, -2, 4, 0, 3, 4, 0, 2, 5, 0, -2, -2, 0, -5, 8, 0, 4, 2, 0, 4, 5, 0, -11, 12, 0, 2, -5, 0, 14, 7, 0, 2, 12, 0, -8, -5, 0, -5, -4, 0, 12, 2, 0, -4, 2, 0, 7, -3, 0, -4, -1, 0, 10, -2, 0, -5, -5, 0, 2, 2, 0, 2, 21, 0, 15, 5, 0, -8, -4, 0, -9, -4, 0, -2, -8, 0, -2, -4, 0, -5, -12, 0, -14, 11, 0, -12, 2, 0, 22, -2, 0, 5, -3, 0, 10, -14, 0, -7, 29, 0, 3, -2, 0, -12, -10, 0, -4, 8, 0, 5, -20, 0, -12, 5, 0, 4, -12, 0, 7, -12, 0, -2, 32, 0, 37, 4, 0, -2, 9, 0, -11, -7, 0, 3, -9, 0, -2, 4, 0, 1, -7, 0, -30, -10, 0, 2, 5, 0, 14, 5, 0, 5, 24, 0, -8, -2, 0, -2, -4, 0, 5, -2, 0, -21, 24, 0, 4, -15, 0, -5, 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mf_hecke_nf • Show schema
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'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '8730.2.a.s', 'level': 8730, 'maxp': 3517, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [6, 11, 8, 7, 12, 12, 13, 11, 8, 7, 6, 11, 11, 14, 14, 9], 'Nk2': 34920, 'analytic_conductor': 69.70940096457778, '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': [8730, 1, [3881, 1747, 3691], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1749, 'dim': 160, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13], 'hecke_orbit_code': 33563162, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 8, 8, 9, 9], 'label': '8730.2.a', 'level': 8730, '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, 5, 97], 'level_radical': 2910, 'mf_dim': 1780, 'mf_new_dim': 160, 'num_forms': 48, 'plus_dim': 71, 'prim_orbit_index': 1, 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-416, 0, -160, 24, 0, 64, -20, 0, 16, 116, 0, 2], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1404220
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '8730.2.a.s', 'source_level': 8730, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '970.2.a.d', 'target_level': 970, 'twist_class_label': '970.2.a.d', 'twist_class_level': 970, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1404221
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '8730.2.a.s', 'source_level': 8730, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '4850.2.a.m', 'target_level': 4850, 'twist_class_label': '970.2.a.d', 'twist_class_level': 970, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1404222
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '8730.2.a.s', 'source_level': 8730, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '7760.2.a.k', 'target_level': 7760, 'twist_class_label': '970.2.a.d', 'twist_class_level': 970, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1404223
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '8730.2.a.s', 'source_level': 8730, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '8730.2.a.s', 'target_level': 8730, 'twist_class_label': '970.2.a.d', 'twist_class_level': 970, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4832600
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 81064793326232090, 'p': 2}
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id: 4832601
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 81064793326232090, 'p': 3}
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id: 4832602
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 81064793326232090, 'p': 5}
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id: 4832603
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 81064793326232090, 'p': 7}
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id: 4832604
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 81064793326232090, 'p': 11}
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id: 4832605
{'charpoly_factorization': [[[5, 5, 1], 1]], 'hecke_orbit_code': 81064793326232090, 'p': 13}
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id: 4832606
{'charpoly_factorization': [[[11, -7, 1], 1]], 'hecke_orbit_code': 81064793326232090, 'p': 17}
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id: 4832607
{'charpoly_factorization': [[[5, 5, 1], 1]], 'hecke_orbit_code': 81064793326232090, 'p': 19}
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id: 4832608
{'charpoly_factorization': [[[-44, 2, 1], 1]], 'hecke_orbit_code': 81064793326232090, 'p': 23}
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id: 4832609
{'charpoly_factorization': [[[-16, 4, 1], 1]], 'hecke_orbit_code': 81064793326232090, 'p': 29}
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id: 4832610
{'charpoly_factorization': [[[16, 12, 1], 1]], 'hecke_orbit_code': 81064793326232090, 'p': 31}
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id: 4832611
{'charpoly_factorization': [[[5, -5, 1], 1]], 'hecke_orbit_code': 81064793326232090, 'p': 37}
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id: 4832612
{'charpoly_factorization': [[[-76, -4, 1], 1]], 'hecke_orbit_code': 81064793326232090, 'p': 41}
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id: 4832613
{'charpoly_factorization': [[[-59, -3, 1], 1]], 'hecke_orbit_code': 81064793326232090, 'p': 43}
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id: 4832614
{'charpoly_factorization': [[[-5, -5, 1], 1]], 'hecke_orbit_code': 81064793326232090, 'p': 47}
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id: 4832615
{'charpoly_factorization': [[[-4, -8, 1], 1]], 'hecke_orbit_code': 81064793326232090, 'p': 53}
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id: 4832616
{'charpoly_factorization': [[[-5, -5, 1], 1]], 'hecke_orbit_code': 81064793326232090, 'p': 59}
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id: 4832617
{'charpoly_factorization': [[[29, 11, 1], 1]], 'hecke_orbit_code': 81064793326232090, 'p': 61}
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id: 4832618
{'charpoly_factorization': [[[44, -14, 1], 1]], 'hecke_orbit_code': 81064793326232090, 'p': 67}
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id: 4832619
{'charpoly_factorization': [[[16, -12, 1], 1]], 'hecke_orbit_code': 81064793326232090, 'p': 71}
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id: 4832620
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 81064793326232090, 'p': 73}
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id: 4832621
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 81064793326232090, 'p': 79}
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id: 4832622
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 81064793326232090, 'p': 83}
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id: 4832623
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 81064793326232090, 'p': 89}
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id: 4832624
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 81064793326232090, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '8730.2.a.s', 'level': 8730, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 63324271
{'hecke_orbit_code': 81064793326232090, 'n': 1, 'trace_an': 2}
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id: 63324272
{'hecke_orbit_code': 81064793326232090, 'n': 2, 'trace_an': -2}
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id: 63324273
{'hecke_orbit_code': 81064793326232090, 'n': 3, 'trace_an': 0}
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id: 63324274
{'hecke_orbit_code': 81064793326232090, 'n': 4, 'trace_an': 2}
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id: 63324275
{'hecke_orbit_code': 81064793326232090, 'n': 5, 'trace_an': 2}
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