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{'Nk2': 13440, 'analytic_conductor': 26.829735079150208, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, -1], [7, 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': [3360, 1, [1471, 421, 1121, 2017, 1921], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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': [[11, [-2, 1]], [13, [4, 1]], [17, [2, 1]], [19, [6, 1]], [23, [4, 1]]], 'hecke_orbit': 23, 'hecke_orbit_code': 99079191835708704, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '3360.2.a.w', 'level': 3360, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '3360.2.a.j', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}-q^{7}+q^{9}+2q^{11}-4q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/3360/w'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3360.2.a', 'trace_display': [0, 1, 1, -1], 'trace_hash': 2120164712648339056, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.031', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.092', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.243', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, 'traces': [1, 0, 1, 0, 1, 0, -1, 0, 1, 0, 2, 0, -4, 0, 1, 0, -2, 0, -6, 0, -1, 0, -4, 0, 1, 0, 1, 0, -10, 0, 2, 0, 2, 0, -1, 0, -2, 0, -4, 0, -10, 0, 4, 0, 1, 0, -8, 0, 1, 0, -2, 0, 4, 0, 2, 0, -6, 0, 4, 0, -2, 0, -1, 0, -4, 0, 4, 0, -4, 0, 6, 0, 0, 0, 1, 0, -2, 0, -4, 0, 1, 0, -4, 0, -2, 0, -10, 0, -6, 0, 4, 0, 2, 0, -6, 0, 4, 0, 2, 0, -6, 0, 8, 0, -1, 0, 20, 0, -14, 0, -2, 0, 12, 0, -4, 0, -4, 0, 2, 0, -7, 0, -10, 0, 1, 0, 8, 0, 4, 0, 0, 0, 6, 0, 1, 0, 16, 0, -22, 0, -8, 0, -8, 0, -10, 0, 1, 0, -6, 0, -16, 0, -2, 0, 2, 0, 0, 0, 4, 0, 4, 0, -20, 0, 2, 0, 8, 0, 3, 0, -6, 0, -6, 0, -1, 0, 4, 0, 18, 0, -6, 0, -2, 0, -2, 0, -4, 0, -1, 0, 18, 0, -22, 0, -4, 0, -24, 0, 10, 0, 4, 0, 10, 0, -10, 0, -4, 0, -12, 0, 20, 0, 6, 0, 4, 0, -2, 0, 0, 0, 8, 0, -12, 0, 1, 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'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.0, 'hecke_orbit': 23, 'hecke_orbit_code': 99079191835708704, 'label': '3360.2.a.w.1.1', 'level': 3360, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [7, -1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [7, -1]], 3, 2], [[[2, 1], [3, 1], [5, -1], [7, -1]], 2, 2], [[[2, -1], [3, 1], [5, -1], [7, -1]], 4, 4], [[[2, 1], [3, 1], [5, 1], [7, -1]], 3, 2], [[[2, 1], [3, -1], [5, -1], [7, -1]], 5, 2], [[[2, 1], [3, -1], [5, 1], [7, -1]], 2, 2], [[[2, -1], [3, -1], [5, 1], [7, 1]], 3, 2], [[[2, -1], [3, -1], [5, -1], [7, 1]], 4, 4], [[[2, 1], [3, -1], [5, -1], [7, 1]], 2, 2], [[[2, 1], [3, -1], [5, 1], [7, 1]], 3, 2], [[[2, -1], [3, 1], [5, 1], [7, 1]], 2, 1], [[[2, -1], [3, -1], [5, 1], [7, -1]], 4, 3], [[[2, 1], [3, 1], [5, 1], [7, 1]], 4, 4], [[[2, -1], [3, 1], [5, -1], [7, 1]], 3, 1], [[[2, 1], [3, 1], [5, -1], [7, 1]], 3, 2]], 'ALdims': [4, 3, 3, 2, 3, 2, 2, 5, 2, 3, 3, 4, 3, 4, 4, 1], 'Nk2': 13440, 'analytic_conductor': 26.829735079150208, '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': [3360, 1, [1471, 421, 1121, 2017, 1921], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 737, 'dim': 48, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 19, 23], 'hecke_orbit_code': 33557792, '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, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3], 'label': '3360.2.a', 'level': 3360, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 800, 'mf_new_dim': 48, 'num_forms': 36, 'plus_dim': 20, 'prim_orbit_index': 1, 'relative_dim': 48, 'sturm_bound': 1536, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 64, 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mf_twists_cc • Show schema
Hide schema
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id: 48431040
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835708704, 'source_is_minimal': True, 'source_label': '3360.2.a.w.1.1', 'source_level': 3360, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079191835708704, 'target_is_minimal': True, 'target_label': '3360.2.a.w.1.1', 'target_level': 3360, 'twist_class_label': '3360.2.a.j.1.1', 'twist_class_level': 3360, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48431041
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835708704, 'source_is_minimal': True, 'source_label': '3360.2.a.w.1.1', 'source_level': 3360, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679892256, 'target_is_minimal': True, 'target_label': '3360.2.a.j.1.1', 'target_level': 3360, 'twist_class_label': '3360.2.a.j.1.1', 'twist_class_level': 3360, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48431042
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835708704, 'source_is_minimal': True, 'source_label': '3360.2.a.w.1.1', 'source_level': 3360, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 207165582892603968, 'target_is_minimal': False, 'target_label': '6720.2.a.bu.1.1', 'target_level': 6720, 'twist_class_label': '3360.2.a.j.1.1', 'twist_class_level': 3360, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48431043
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 99079191835708704, 'source_is_minimal': True, 'source_label': '3360.2.a.w.1.1', 'source_level': 3360, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170413632, 'target_is_minimal': False, 'target_label': '6720.2.a.f.1.1', 'target_level': 6720, 'twist_class_label': '3360.2.a.j.1.1', 'twist_class_level': 3360, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3140700
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 2}
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id: 3140701
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 3}
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id: 3140702
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 5}
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id: 3140703
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 7}
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id: 3140704
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 11}
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id: 3140705
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 13}
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id: 3140706
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 17}
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id: 3140707
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 19}
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id: 3140708
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 23}
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id: 3140709
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 29}
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id: 3140710
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 31}
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id: 3140711
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 37}
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id: 3140712
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 41}
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id: 3140713
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 43}
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id: 3140714
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 47}
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id: 3140715
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 53}
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id: 3140716
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 59}
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id: 3140717
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 61}
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id: 3140718
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 67}
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id: 3140719
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 71}
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id: 3140720
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 73}
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id: 3140721
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 79}
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id: 3140722
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 83}
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id: 3140723
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 89}
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id: 3140724
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 99079191835708704, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 23, 'label': '3360.2.a.w', 'level': 3360, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 253441000
{'hecke_orbit_code': 99079191835708704, 'n': 1, 'trace_an': 1}
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id: 253441001
{'hecke_orbit_code': 99079191835708704, 'n': 2, 'trace_an': 0}
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id: 253441002
{'hecke_orbit_code': 99079191835708704, 'n': 3, 'trace_an': 1}
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id: 253441003
{'hecke_orbit_code': 99079191835708704, 'n': 4, 'trace_an': 0}
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id: 253441004
{'hecke_orbit_code': 99079191835708704, 'n': 5, 'trace_an': 1}
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id: 253441005
{'hecke_orbit_code': 99079191835708704, 'n': 6, 'trace_an': 0}
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id: 253441006
{'hecke_orbit_code': 99079191835708704, 'n': 7, 'trace_an': -1}
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id: 253441007
{'hecke_orbit_code': 99079191835708704, 'n': 8, 'trace_an': 0}
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id: 253441008
{'hecke_orbit_code': 99079191835708704, 'n': 9, 'trace_an': 1}
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id: 253441009
{'hecke_orbit_code': 99079191835708704, 'n': 10, 'trace_an': 0}
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id: 253441010
{'hecke_orbit_code': 99079191835708704, 'n': 11, 'trace_an': 2}
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id: 253441011
{'hecke_orbit_code': 99079191835708704, 'n': 12, 'trace_an': 0}
-
id: 253441012
{'hecke_orbit_code': 99079191835708704, 'n': 13, 'trace_an': -4}
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id: 253441013
{'hecke_orbit_code': 99079191835708704, 'n': 14, 'trace_an': 0}
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{'hecke_orbit_code': 99079191835708704, 'n': 998, 'trace_an': 0}
-
id: 253441998
{'hecke_orbit_code': 99079191835708704, 'n': 999, 'trace_an': -2}
-
id: 253441999
{'hecke_orbit_code': 99079191835708704, 'n': 1000, 'trace_an': 0}