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mf_newforms • Show schema
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{'Nk2': 3864, 'analytic_conductor': 7.713548835255685, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [966, 3, [323, 829, 925], [3, 2, 3]], 'cm_discs': [], 'conrey_index': 277, 'conrey_indexes': [277, 415], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [1, 1, 1]], [11, [9, -3, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007749044110278, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '966.2.i.c', 'level': 966, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 23], 'level_radical': 966, 'minimal_twist': '966.2.i.c', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\zeta_{6}q^{2}+(1-\\zeta_{6})q^{3}+(-1+\\zeta_{6})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '966.2.i', 'trace_display': [-1, 1, -1, -1], 'trace_hash': 1424640384273984963, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.039', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.075', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '110.419', 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mf_hecke_cc • Show schema
Hide schema
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'dual_conrey_index': 277, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 2, 'embedding_root_imag': -0.8660254037844386, 'embedding_root_real': 0.5, 'hecke_orbit': 3, 'hecke_orbit_code': 9007749044110278, 'label': '966.2.i.c.415.1', 'level': 966, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3864, 'analytic_conductor': 7.713548835255685, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [966, 3, [323, 829, 925], [3, 2, 3]], 'conrey_index': 277, 'cusp_dim': 368, 'dim': 56, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 549789369286, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 6, 8, 8, 8], 'label': '966.2.i', 'level': 966, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 23], 'level_radical': 966, 'mf_dim': 400, 'mf_new_dim': 56, 'num_forms': 14, 'prim_orbit_index': 3, 'relative_dim': 28, 'sturm_bound': 384, 'trace_bound': 5, 'trace_display': [0, 0, 0, -4], 'traces': [56, 0, 0, -28, 0, 8, -4, 0, -28, 4, 0, 0, 16, -8, -8, -28, 8, 0, 8, 0, -8, -24, 0, -4, -16, 0, 0, -4, -32, 0, -4, 0, 4, 0, 40, 56, 8, 8, -8, 4, -16, -4, 32, 0, 0, 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32, 40, -8, -232, 80, 16, -20, 64, 0, -24, -16, -64, 12, 104, 0, -160, -160, 0, 16, -176, -48, 208, 16, 48, 196, 160, -16, -40, 112, -104, -32, 8, 32, 12, -16, 64, -16, -176, 36, 16, 0, 24, -24], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 41103127
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 415, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749044110278, 'source_is_minimal': True, 'source_label': '966.2.i.c.415.1', 'source_level': 966, 'target_conrey_index': 415, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749044110278, 'target_is_minimal': True, 'target_label': '966.2.i.c.415.1', 'target_level': 966, 'twist_class_label': '966.2.i.c.277.1', 'twist_class_level': 966, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 41103128
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 415, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749044110278, 'source_is_minimal': True, 'source_label': '966.2.i.c.415.1', 'source_level': 966, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 121597189972564586, 'target_is_minimal': False, 'target_label': '6762.2.a.bb.1.1', 'target_level': 6762, 'twist_class_label': '966.2.i.c.277.1', 'twist_class_level': 966, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 41103129
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 415, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749044110278, 'source_is_minimal': True, 'source_label': '966.2.i.c.415.1', 'source_level': 966, 'target_conrey_index': 277, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749044110278, 'target_is_minimal': True, 'target_label': '966.2.i.c.277.1', 'target_level': 966, 'twist_class_label': '966.2.i.c.277.1', 'twist_class_level': 966, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 41103130
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 415, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749044110278, 'source_is_minimal': True, 'source_label': '966.2.i.c.415.1', 'source_level': 966, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 148618787736787562, 'target_is_minimal': False, 'target_label': '6762.2.a.bh.1.1', 'target_level': 6762, 'twist_class_label': '966.2.i.c.277.1', 'twist_class_level': 966, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1545650
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 9007749044110278, 'p': 2}
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id: 1545651
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 9007749044110278, 'p': 3}
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id: 1545652
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 9007749044110278, 'p': 5}
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id: 1545653
{'charpoly_factorization': [[[7, 1, 1], 1]], 'hecke_orbit_code': 9007749044110278, 'p': 7}
-
id: 1545654
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 9007749044110278, 'p': 11}
-
id: 1545655
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 9007749044110278, 'p': 13}
-
id: 1545656
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 9007749044110278, 'p': 17}
-
id: 1545657
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 9007749044110278, 'p': 19}
-
id: 1545658
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 9007749044110278, 'p': 23}
-
id: 1545659
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 9007749044110278, 'p': 29}
-
id: 1545660
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 9007749044110278, 'p': 31}
-
id: 1545661
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 9007749044110278, 'p': 37}
-
id: 1545662
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 9007749044110278, 'p': 41}
-
id: 1545663
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 9007749044110278, 'p': 43}
-
id: 1545664
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 9007749044110278, 'p': 47}
-
id: 1545665
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 9007749044110278, 'p': 53}
-
id: 1545666
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 9007749044110278, 'p': 59}
-
id: 1545667
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 9007749044110278, 'p': 61}
-
id: 1545668
{'charpoly_factorization': [[[100, 10, 1], 1]], 'hecke_orbit_code': 9007749044110278, 'p': 67}
-
id: 1545669
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 9007749044110278, 'p': 71}
-
id: 1545670
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 9007749044110278, 'p': 73}
-
id: 1545671
{'charpoly_factorization': [[[225, -15, 1], 1]], 'hecke_orbit_code': 9007749044110278, 'p': 79}
-
id: 1545672
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 9007749044110278, 'p': 83}
-
id: 1545673
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007749044110278, 'p': 89}
-
id: 1545674
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 9007749044110278, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 3, 'label': '966.2.i.c', 'level': 966, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 120852000
{'hecke_orbit_code': 9007749044110278, 'n': 1, 'trace_an': 2}
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id: 120852001
{'hecke_orbit_code': 9007749044110278, 'n': 2, 'trace_an': -1}
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id: 120852002
{'hecke_orbit_code': 9007749044110278, 'n': 3, 'trace_an': 1}
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id: 120852003
{'hecke_orbit_code': 9007749044110278, 'n': 4, 'trace_an': -1}
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id: 120852004
{'hecke_orbit_code': 9007749044110278, 'n': 5, 'trace_an': -1}
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id: 120852005
{'hecke_orbit_code': 9007749044110278, 'n': 6, 'trace_an': -2}
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id: 120852006
{'hecke_orbit_code': 9007749044110278, 'n': 7, 'trace_an': -1}
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id: 120852007
{'hecke_orbit_code': 9007749044110278, 'n': 8, 'trace_an': 2}
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id: 120852008
{'hecke_orbit_code': 9007749044110278, 'n': 9, 'trace_an': -1}
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id: 120852009
{'hecke_orbit_code': 9007749044110278, 'n': 10, 'trace_an': -1}
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id: 120852010
{'hecke_orbit_code': 9007749044110278, 'n': 11, 'trace_an': 3}
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id: 120852011
{'hecke_orbit_code': 9007749044110278, 'n': 12, 'trace_an': 1}
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id: 120852012
{'hecke_orbit_code': 9007749044110278, 'n': 13, 'trace_an': 4}
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id: 120852013
{'hecke_orbit_code': 9007749044110278, 'n': 14, 'trace_an': -4}
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id: 120852014
{'hecke_orbit_code': 9007749044110278, 'n': 15, 'trace_an': -2}
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id: 120852015
{'hecke_orbit_code': 9007749044110278, 'n': 16, 'trace_an': -1}
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id: 120852016
{'hecke_orbit_code': 9007749044110278, 'n': 17, 'trace_an': 2}
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id: 120852017
{'hecke_orbit_code': 9007749044110278, 'n': 18, 'trace_an': -1}
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id: 120852018
{'hecke_orbit_code': 9007749044110278, 'n': 19, 'trace_an': 2}
-
id: 120852019
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