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{'Nk2': 38808, 'analytic_conductor': 77.47086004104622, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 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': [9702, 1, [4313, 199, 5293], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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, [-2, 1]], [13, [-2, 1]], [17, [1, 1]], [19, [3, 1]], [23, [-1, 1]], [29, [-1, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326233062, 'hecke_ring_generator_nbound': 1, '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': '9702.2.a.s', 'level': 9702, '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, 7, 11], 'level_radical': 462, 'minimal_twist': '1386.2.k.h', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}-q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/9702/s'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9702.2.a', 'trace_display': [-1, 0, 2, 0], 'trace_hash': 425440364276818130, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [5, 9, 11, 8, 13, 13, 13, 13, 9, 5, 8, 11, 11, 15, 14, 11], 'Nk2': 38808, 'analytic_conductor': 77.47086004104622, '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': [9702, 1, [4313, 199, 5293], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1953, 'dim': 169, 'eis_dim': 127, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13, 17, 19, 23, 29], 'hecke_orbit_code': 33564134, '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, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '9702.2.a', 'level': 9702, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': 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-8, 0, -40, 0, 0, 233, -212, 0, 66, 36, 0, 304, -1, 0, -204, 32, 0, 0, 64, 0, -2, -86, 0, 54, 0, 0, 12, 12, 0, 20, 20, 0, 224, -8, 0, 408, -8, 0, 0, 360, 0, 54, -44, 0, -12], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1443723
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '9702.2.a.s', 'source_level': 9702, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '1386.2.k.h', 'target_level': 1386, 'twist_class_label': '1386.2.k.h', 'twist_class_level': 1386, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1443724
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '9702.2.a.s', 'source_level': 9702, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '1386.2.k.l', 'target_level': 1386, 'twist_class_label': '1386.2.k.h', 'twist_class_level': 1386, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1443725
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '9702.2.a.s', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '9702.2.a.f', 'target_level': 9702, 'twist_class_label': '1386.2.k.h', 'twist_class_level': 1386, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1443726
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '9702.2.a.s', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '9702.2.a.s', 'target_level': 9702, 'twist_class_label': '1386.2.k.h', 'twist_class_level': 1386, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1443727
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '9702.2.a.s', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '9702.2.a.bi', 'target_level': 9702, 'twist_class_label': '1386.2.k.h', 'twist_class_level': 1386, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1443728
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '9702.2.a.s', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 53, 'target_is_minimal': False, 'target_label': '9702.2.a.ca', 'target_level': 9702, 'twist_class_label': '1386.2.k.h', 'twist_class_level': 1386, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 5100475
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 2}
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id: 5100476
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 3}
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id: 5100477
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 5}
-
id: 5100478
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 7}
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id: 5100479
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 11}
-
id: 5100480
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 13}
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id: 5100481
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 17}
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id: 5100482
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 19}
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id: 5100483
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 23}
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id: 5100484
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 29}
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id: 5100485
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 31}
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id: 5100486
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 37}
-
id: 5100487
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 41}
-
id: 5100488
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 43}
-
id: 5100489
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 47}
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id: 5100490
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 53}
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id: 5100491
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 59}
-
id: 5100492
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 61}
-
id: 5100493
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 67}
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id: 5100494
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 71}
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id: 5100495
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 73}
-
id: 5100496
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 79}
-
id: 5100497
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 83}
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id: 5100498
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 89}
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id: 5100499
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 81064793326233062, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '9702.2.a.s', 'level': 9702, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 63386191
{'hecke_orbit_code': 81064793326233062, 'n': 1, 'trace_an': 1}
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id: 63386192
{'hecke_orbit_code': 81064793326233062, 'n': 2, 'trace_an': -1}
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id: 63386193
{'hecke_orbit_code': 81064793326233062, 'n': 3, 'trace_an': 0}
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id: 63386194
{'hecke_orbit_code': 81064793326233062, 'n': 4, 'trace_an': 1}
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id: 63386195
{'hecke_orbit_code': 81064793326233062, 'n': 5, 'trace_an': 2}
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id: 63386196
{'hecke_orbit_code': 81064793326233062, 'n': 6, 'trace_an': 0}
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id: 63386197
{'hecke_orbit_code': 81064793326233062, 'n': 7, 'trace_an': 0}
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id: 63386198
{'hecke_orbit_code': 81064793326233062, 'n': 8, 'trace_an': -1}
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id: 63386199
{'hecke_orbit_code': 81064793326233062, 'n': 9, 'trace_an': 0}
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id: 63386200
{'hecke_orbit_code': 81064793326233062, 'n': 10, 'trace_an': -2}
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