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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, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [2, 4, 1]], [13, [-7, -2, 1]], [17, [-28, 4, 1]], [19, [2, -4, 1]], [23, [-14, -4, 1]], [29, [-23, -6, 1]]], 'hecke_orbit': 60, 'hecke_orbit_code': 265712378048423398, 'hecke_ring_generator_nbound': 5, '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': '9702.2.a.ch', 'level': 9702, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '154.2.e.e', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+(-2+\\beta )q^{5}-q^{8}+(2+\\cdots)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': '9702.2.a', 'trace_display': [-2, 0, -4, 0], 'trace_hash': 2184580847535208202, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.934', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [11, -1]], 11, 10], [[[2, 1], [3, -1], [7, 1], [11, 1]], 13, 4], [[[2, -1], [3, 1], [7, 1], [11, 1]], 9, 6], [[[2, 1], [3, 1], [7, -1], [11, -1]], 8, 6], [[[2, -1], [3, -1], [7, 1], [11, 1]], 11, 6], [[[2, -1], [3, 1], [7, -1], [11, -1]], 11, 7], [[[2, 1], [3, -1], [7, -1], [11, -1]], 13, 9], [[[2, -1], [3, -1], [7, 1], [11, -1]], 15, 8], [[[2, -1], [3, -1], [7, -1], [11, 1]], 14, 10], [[[2, 1], [3, -1], [7, 1], [11, -1]], 13, 7], [[[2, -1], [3, 1], [7, -1], [11, 1]], 8, 6], [[[2, 1], [3, 1], [7, 1], [11, 1]], 5, 3], [[[2, 1], [3, 1], [7, -1], [11, 1]], 11, 7], [[[2, -1], [3, 1], [7, 1], [11, -1]], 5, 3], [[[2, 1], [3, 1], [7, 1], [11, -1]], 9, 6], [[[2, 1], [3, -1], [7, -1], [11, 1]], 13, 9]], '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_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 2080, 'mf_new_dim': 169, 'num_forms': 107, 'plus_dim': 74, 'prim_orbit_index': 1, 'relative_dim': 169, 'sturm_bound': 4032, 'trace_bound': 31, 'trace_display': [-1, 0, -2, 0], 'traces': [169, -1, 0, 169, -2, 0, 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mf_twists_nf • Show schema
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id: 1444042
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 60, 'source_is_minimal': False, 'source_label': '9702.2.a.ch', 'source_level': 9702, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '154.2.e.e', 'target_level': 154, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1444043
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 60, 'source_is_minimal': False, 'source_label': '9702.2.a.ch', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1078.2.a.t', 'target_level': 1078, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1444044
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 60, 'source_is_minimal': False, 'source_label': '9702.2.a.ch', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '1078.2.a.x', 'target_level': 1078, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1444045
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 60, 'source_is_minimal': False, 'source_label': '9702.2.a.ch', 'source_level': 9702, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1078.2.e.m', 'target_level': 1078, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1444046
{'conductor': 84, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 60, 'source_is_minimal': False, 'source_label': '9702.2.a.ch', 'source_level': 9702, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1232.2.q.f', 'target_level': 1232, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1444047
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 60, 'source_is_minimal': False, 'source_label': '9702.2.a.ch', 'source_level': 9702, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1386.2.k.t', 'target_level': 1386, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1444048
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 60, 'source_is_minimal': False, 'source_label': '9702.2.a.ch', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '8624.2.a.bh', 'target_level': 8624, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1444049
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 60, 'source_is_minimal': False, 'source_label': '9702.2.a.ch', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 55, 'target_is_minimal': False, 'target_label': '8624.2.a.cc', 'target_level': 8624, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1444050
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 60, 'source_is_minimal': False, 'source_label': '9702.2.a.ch', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 60, 'target_is_minimal': False, 'target_label': '9702.2.a.ch', 'target_level': 9702, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1444051
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 60, 'source_is_minimal': False, 'source_label': '9702.2.a.ch', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 76, 'target_is_minimal': False, 'target_label': '9702.2.a.cx', 'target_level': 9702, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 5101725
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 265712378048423398, 'p': 2}
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id: 5101726
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 265712378048423398, 'p': 3}
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id: 5101727
{'charpoly_factorization': [[[2, 4, 1], 1]], 'hecke_orbit_code': 265712378048423398, 'p': 5}
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id: 5101728
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 265712378048423398, 'p': 7}
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id: 5101729
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 265712378048423398, 'p': 11}
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id: 5101730
{'charpoly_factorization': [[[-7, -2, 1], 1]], 'hecke_orbit_code': 265712378048423398, 'p': 13}
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id: 5101731
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 265712378048423398, 'p': 17}
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id: 5101732
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 265712378048423398, 'p': 19}
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id: 5101733
{'charpoly_factorization': [[[-14, -4, 1], 1]], 'hecke_orbit_code': 265712378048423398, 'p': 23}
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id: 5101734
{'charpoly_factorization': [[[-23, -6, 1], 1]], 'hecke_orbit_code': 265712378048423398, 'p': 29}
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id: 5101735
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 265712378048423398, 'p': 31}
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id: 5101736
{'charpoly_factorization': [[[62, 16, 1], 1]], 'hecke_orbit_code': 265712378048423398, 'p': 37}
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id: 5101737
{'charpoly_factorization': [[[14, 8, 1], 1]], 'hecke_orbit_code': 265712378048423398, 'p': 41}
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id: 5101738
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 265712378048423398, 'p': 43}
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id: 5101739
{'charpoly_factorization': [[[-68, 4, 1], 1]], 'hecke_orbit_code': 265712378048423398, 'p': 47}
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id: 5101740
{'charpoly_factorization': [[[-94, -4, 1], 1]], 'hecke_orbit_code': 265712378048423398, 'p': 53}
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id: 5101741
{'charpoly_factorization': [[[47, 14, 1], 1]], 'hecke_orbit_code': 265712378048423398, 'p': 59}
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id: 5101742
{'charpoly_factorization': [[[73, 18, 1], 1]], 'hecke_orbit_code': 265712378048423398, 'p': 61}
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id: 5101743
{'charpoly_factorization': [[[31, -14, 1], 1]], 'hecke_orbit_code': 265712378048423398, 'p': 67}
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id: 5101744
{'charpoly_factorization': [[[-34, -8, 1], 1]], 'hecke_orbit_code': 265712378048423398, 'p': 71}
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id: 5101745
{'charpoly_factorization': [[[62, -16, 1], 1]], 'hecke_orbit_code': 265712378048423398, 'p': 73}
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id: 5101746
{'charpoly_factorization': [[[63, 18, 1], 1]], 'hecke_orbit_code': 265712378048423398, 'p': 79}
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id: 5101747
{'charpoly_factorization': [[[-196, -4, 1], 1]], 'hecke_orbit_code': 265712378048423398, 'p': 83}
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id: 5101748
{'charpoly_factorization': [[[-56, -8, 1], 1]], 'hecke_orbit_code': 265712378048423398, 'p': 89}
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id: 5101749
{'charpoly_factorization': [[[-7, -2, 1], 1]], 'hecke_orbit_code': 265712378048423398, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 60, 'label': '9702.2.a.ch', '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: 279399000
{'hecke_orbit_code': 265712378048423398, 'n': 1, 'trace_an': 2}
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id: 279399001
{'hecke_orbit_code': 265712378048423398, 'n': 2, 'trace_an': -2}
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id: 279399998
{'hecke_orbit_code': 265712378048423398, 'n': 999, 'trace_an': 0}
-
id: 279399999
{'hecke_orbit_code': 265712378048423398, 'n': 1000, 'trace_an': 0}