-
mf_newforms • Show schema
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{'Nk2': 41880, 'analytic_conductor': 83.60337091628057, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1], [349, 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': [10470, 1, [3491, 8377, 3841], [4, 4, 4]], '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_orbit': 4, 'hecke_orbit_code': 13510798915676390, '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': True, 'label': '10470.2.a.d', 'level': 10470, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 349], 'level_radical': 10470, 'minimal_twist': '10470.2.a.d', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/10470/d'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '10470.2.a', 'trace_display': [1, 1, 1, 1], 'traces': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 0, 1, 1, 1, -3, 1, 6, 1, 1, -2, -4, 1, 1, 0, 1, 1, 9, 1, 4, 1, -2, -3, 1, 1, 3, 6, 0, 1, 0, 1, -12, -2, 1, -4, 6, 1, -6, 1, -3, 0, 5, 1, -2, 1, 6, 9, 4, 1, 13, 4, 1, 1, 0, -2, 5, -3, -4, 1, -5, 1, 4, 3, 1, 6, -2, 0, -4, 1, 1, 0, 0, 1, -3, -12, 9, -2, 6, 1, 0, -4, 4, 6, 6, 1, 14, -6, -2, 1], 'weight': 2, 'weight_parity': 1}
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label 10470.2.a.d does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [15, 14, 14, 15, 16, 12, 13, 17, 17, 12, 12, 17, 10, 20, 19, 10], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'ALdims_old': [105, 127, 125, 109, 121, 113, 115, 116, 110, 121, 126, 108, 119, 113, 110, 122], 'Nk2': 41880, 'analytic_conductor': 83.60337091628057, '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': [10470, 1, [3491, 8377, 3841], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2093, 'dim': 233, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_orbit_code': 33564902, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 5, 5, 10, 12, 12, 12, 12, 14, 14, 14, 15, 16, 16, 17, 17, 17, 18], 'label': '10470.2.a', 'level': 10470, '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': True, 'level_primes': [2, 3, 5, 349], 'level_radical': 10470, 'mf_dim': 2108, 'mf_new_dim': 233, 'num_forms': 23, 'plus_dim': 99, 'prim_orbit_index': 1, 'relative_dim': 233, 'sturm_bound': 4200, 'trace_display': [1, 1, 1, 8], 'traces': [233, 1, 1, 233, 1, 1, 8, 1, 233, -3, -12, 1, -10, -16, 1, 233, -14, 1, 12, 1, 8, -4, 8, 1, 233, 6, 1, 8, 14, -3, 8, 1, 4, -6, 0, 233, 22, 4, 6, -3, 2, -8, 20, -12, 1, 8, -16, 1, 201, 1, 2, -10, -26, 1, -12, -16, 20, 6, -28, 1, -2, 0, 8, 233, -10, 4, -12, -14, -24, 8, 40, 1, 58, 14, 1, 12, 32, 14, 8, 1, 233, 10, 4, 8, 18, 12, 14, -4, 2, -3, 16, 8, 32, 0, -12, 1, 18, -7, -12, 233, -42, 10, 8, 6, -16, -18, 12, 1, 30, 4, 14, 8, 18, -12, 0, 14, -10, -4, 80, -3, 221, 14, -6, 8, 1, -16, 64, 1, 36, -10, -84, 4, -64, 20, 1, -6, -6, -8, 36, 0, -16, -8, 24, 233, -10, 10, 25, 22, 70, 1, -32, 4, -14, 16, 0, 6, 14, 32, 6, -3, -48, 1, -20, 2, 4, 36, 88, -8, 239, 18, 12, 20, -34, -26, 8, -12, -44, 42, 44, 1, 38, 32, 46, 8, 30, 0, 24, -16, 8, -12, -48, 1, 50, 50, 6, 201, -74, 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-164, 56, -18, -112, -62, -12, 96, 32, -18, -4, -16, -48, 18, -144, 233, -388, -24, 96, -86, -74, 24, 132, 68, -42, -64, 96, 20, -288, 10, -50, -90, -352, 10, -160, 24, -148, -114, -16, -48, 22, -88, 8, 6, -86, -48, 284, -86, -136, 100, 24, 6, 58, 64, -22, 0, 46, 38, 144, -28, -16, -96, -44, 56, -36, 4, -194, -48, 138, -18, -192, -16, -152, -160, -192, 1, 353, -12, 12, -30, 18, -16, -280, 37, -216, -46, 132, 1, -144, -64, 6, -2, 146, -108, -200, 25, 30, -172, 168, -38, -34, 124, 272, 88, -144, 4, -184, 0, 148, -192, 120, -12, -194, -220, 14, -3], 'weight': 2, 'weight_parity': 1}
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source_label 10470.2.a.d does not appear in mf_twists_nf
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hecke_orbit_code 13510798915676390 does not appear in mf_hecke_charpolys
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label 10470.2.a.d does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 126298742
{'hecke_orbit_code': 13510798915676390, 'n': 1, 'trace_an': 1}
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id: 126298743
{'hecke_orbit_code': 13510798915676390, 'n': 2, 'trace_an': 1}
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id: 126298744
{'hecke_orbit_code': 13510798915676390, 'n': 3, 'trace_an': 1}
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id: 126298745
{'hecke_orbit_code': 13510798915676390, 'n': 4, 'trace_an': 1}
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id: 126298746
{'hecke_orbit_code': 13510798915676390, 'n': 5, 'trace_an': 1}
-
id: 126298747
{'hecke_orbit_code': 13510798915676390, 'n': 6, 'trace_an': 1}
-
id: 126298748
{'hecke_orbit_code': 13510798915676390, 'n': 7, 'trace_an': 1}
-
id: 126298749
{'hecke_orbit_code': 13510798915676390, 'n': 8, 'trace_an': 1}
-
id: 126298750
{'hecke_orbit_code': 13510798915676390, 'n': 9, 'trace_an': 1}
-
id: 126298751
{'hecke_orbit_code': 13510798915676390, 'n': 10, 'trace_an': 1}
-
id: 126298752
{'hecke_orbit_code': 13510798915676390, 'n': 11, 'trace_an': -2}
-
id: 126298753
{'hecke_orbit_code': 13510798915676390, 'n': 12, 'trace_an': 1}
-
id: 126298754
{'hecke_orbit_code': 13510798915676390, 'n': 13, 'trace_an': 0}
-
id: 126298755
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-
id: 126298756
{'hecke_orbit_code': 13510798915676390, 'n': 15, 'trace_an': 1}
-
id: 126298757
{'hecke_orbit_code': 13510798915676390, 'n': 16, 'trace_an': 1}
-
id: 126298758
{'hecke_orbit_code': 13510798915676390, 'n': 17, 'trace_an': -3}
-
id: 126298759
{'hecke_orbit_code': 13510798915676390, 'n': 18, 'trace_an': 1}
-
id: 126298760
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-
id: 126298761
{'hecke_orbit_code': 13510798915676390, 'n': 20, 'trace_an': 1}
-
id: 126298762
{'hecke_orbit_code': 13510798915676390, 'n': 21, 'trace_an': 1}
-
id: 126298763
{'hecke_orbit_code': 13510798915676390, 'n': 22, 'trace_an': -2}
-
id: 126298764
{'hecke_orbit_code': 13510798915676390, 'n': 23, 'trace_an': -4}
-
id: 126298765
{'hecke_orbit_code': 13510798915676390, 'n': 24, 'trace_an': 1}
-
id: 126298766
{'hecke_orbit_code': 13510798915676390, 'n': 25, 'trace_an': 1}
-
id: 126298767
{'hecke_orbit_code': 13510798915676390, 'n': 26, 'trace_an': 0}
-
id: 126298768
{'hecke_orbit_code': 13510798915676390, 'n': 27, 'trace_an': 1}
-
id: 126298769
{'hecke_orbit_code': 13510798915676390, 'n': 28, 'trace_an': 1}
-
id: 126298770
{'hecke_orbit_code': 13510798915676390, 'n': 29, 'trace_an': 9}
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id: 126298771
{'hecke_orbit_code': 13510798915676390, 'n': 30, 'trace_an': 1}
-
id: 126298772
{'hecke_orbit_code': 13510798915676390, 'n': 31, 'trace_an': 4}
-
id: 126298773
{'hecke_orbit_code': 13510798915676390, 'n': 32, 'trace_an': 1}
-
id: 126298774
{'hecke_orbit_code': 13510798915676390, 'n': 33, 'trace_an': -2}
-
id: 126298775
{'hecke_orbit_code': 13510798915676390, 'n': 34, 'trace_an': -3}
-
id: 126298776
{'hecke_orbit_code': 13510798915676390, 'n': 35, 'trace_an': 1}
-
id: 126298777
{'hecke_orbit_code': 13510798915676390, 'n': 36, 'trace_an': 1}
-
id: 126298778
{'hecke_orbit_code': 13510798915676390, 'n': 37, 'trace_an': 3}
-
id: 126298779
{'hecke_orbit_code': 13510798915676390, 'n': 38, 'trace_an': 6}
-
id: 126298780
{'hecke_orbit_code': 13510798915676390, 'n': 39, 'trace_an': 0}
-
id: 126298781
{'hecke_orbit_code': 13510798915676390, 'n': 40, 'trace_an': 1}
-
id: 126298782
{'hecke_orbit_code': 13510798915676390, 'n': 41, 'trace_an': 0}
-
id: 126298783
{'hecke_orbit_code': 13510798915676390, 'n': 42, 'trace_an': 1}
-
id: 126298784
{'hecke_orbit_code': 13510798915676390, 'n': 43, 'trace_an': -12}
-
id: 126298785
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-
id: 126298786
{'hecke_orbit_code': 13510798915676390, 'n': 45, 'trace_an': 1}
-
id: 126298787
{'hecke_orbit_code': 13510798915676390, 'n': 46, 'trace_an': -4}
-
id: 126298788
{'hecke_orbit_code': 13510798915676390, 'n': 47, 'trace_an': 6}
-
id: 126298789
{'hecke_orbit_code': 13510798915676390, 'n': 48, 'trace_an': 1}
-
id: 126298790
{'hecke_orbit_code': 13510798915676390, 'n': 49, 'trace_an': -6}
-
id: 126298791
{'hecke_orbit_code': 13510798915676390, 'n': 50, 'trace_an': 1}
-
id: 126298792
{'hecke_orbit_code': 13510798915676390, 'n': 51, 'trace_an': -3}
-
id: 126298793
{'hecke_orbit_code': 13510798915676390, 'n': 52, 'trace_an': 0}
-
id: 126298794
{'hecke_orbit_code': 13510798915676390, 'n': 53, 'trace_an': 5}
-
id: 126298795
{'hecke_orbit_code': 13510798915676390, 'n': 54, 'trace_an': 1}
-
id: 126298796
{'hecke_orbit_code': 13510798915676390, 'n': 55, 'trace_an': -2}
-
id: 126298797
{'hecke_orbit_code': 13510798915676390, 'n': 56, 'trace_an': 1}
-
id: 126298798
{'hecke_orbit_code': 13510798915676390, 'n': 57, 'trace_an': 6}
-
id: 126298799
{'hecke_orbit_code': 13510798915676390, 'n': 58, 'trace_an': 9}
-
id: 126298800
{'hecke_orbit_code': 13510798915676390, 'n': 59, 'trace_an': 4}
-
id: 126298801
{'hecke_orbit_code': 13510798915676390, 'n': 60, 'trace_an': 1}
-
id: 126298802
{'hecke_orbit_code': 13510798915676390, 'n': 61, 'trace_an': 13}
-
id: 126298803
{'hecke_orbit_code': 13510798915676390, 'n': 62, 'trace_an': 4}
-
id: 126298804
{'hecke_orbit_code': 13510798915676390, 'n': 63, 'trace_an': 1}
-
id: 126298805
{'hecke_orbit_code': 13510798915676390, 'n': 64, 'trace_an': 1}
-
id: 126298806
{'hecke_orbit_code': 13510798915676390, 'n': 65, 'trace_an': 0}
-
id: 126298807
{'hecke_orbit_code': 13510798915676390, 'n': 66, 'trace_an': -2}
-
id: 126298808
{'hecke_orbit_code': 13510798915676390, 'n': 67, 'trace_an': 5}
-
id: 126298809
{'hecke_orbit_code': 13510798915676390, 'n': 68, 'trace_an': -3}
-
id: 126298810
{'hecke_orbit_code': 13510798915676390, 'n': 69, 'trace_an': -4}
-
id: 126298811
{'hecke_orbit_code': 13510798915676390, 'n': 70, 'trace_an': 1}
-
id: 126298812
{'hecke_orbit_code': 13510798915676390, 'n': 71, 'trace_an': -5}
-
id: 126298813
{'hecke_orbit_code': 13510798915676390, 'n': 72, 'trace_an': 1}
-
id: 126298814
{'hecke_orbit_code': 13510798915676390, 'n': 73, 'trace_an': 4}
-
id: 126298815
{'hecke_orbit_code': 13510798915676390, 'n': 74, 'trace_an': 3}
-
id: 126298816
{'hecke_orbit_code': 13510798915676390, 'n': 75, 'trace_an': 1}
-
id: 126298817
{'hecke_orbit_code': 13510798915676390, 'n': 76, 'trace_an': 6}
-
id: 126298818
{'hecke_orbit_code': 13510798915676390, 'n': 77, 'trace_an': -2}
-
id: 126298819
{'hecke_orbit_code': 13510798915676390, 'n': 78, 'trace_an': 0}
-
id: 126298820
{'hecke_orbit_code': 13510798915676390, 'n': 79, 'trace_an': -4}
-
id: 126298821
{'hecke_orbit_code': 13510798915676390, 'n': 80, 'trace_an': 1}
-
id: 126298822
{'hecke_orbit_code': 13510798915676390, 'n': 81, 'trace_an': 1}
-
id: 126298823
{'hecke_orbit_code': 13510798915676390, 'n': 82, 'trace_an': 0}
-
id: 126298824
{'hecke_orbit_code': 13510798915676390, 'n': 83, 'trace_an': 0}
-
id: 126298825
{'hecke_orbit_code': 13510798915676390, 'n': 84, 'trace_an': 1}
-
id: 126298826
{'hecke_orbit_code': 13510798915676390, 'n': 85, 'trace_an': -3}
-
id: 126298827
{'hecke_orbit_code': 13510798915676390, 'n': 86, 'trace_an': -12}
-
id: 126298828
{'hecke_orbit_code': 13510798915676390, 'n': 87, 'trace_an': 9}
-
id: 126298829
{'hecke_orbit_code': 13510798915676390, 'n': 88, 'trace_an': -2}
-
id: 126298830
{'hecke_orbit_code': 13510798915676390, 'n': 89, 'trace_an': 6}
-
id: 126298831
{'hecke_orbit_code': 13510798915676390, 'n': 90, 'trace_an': 1}
-
id: 126298832
{'hecke_orbit_code': 13510798915676390, 'n': 91, 'trace_an': 0}
-
id: 126298833
{'hecke_orbit_code': 13510798915676390, 'n': 92, 'trace_an': -4}
-
id: 126298834
{'hecke_orbit_code': 13510798915676390, 'n': 93, 'trace_an': 4}
-
id: 126298835
{'hecke_orbit_code': 13510798915676390, 'n': 94, 'trace_an': 6}
-
id: 126298836
{'hecke_orbit_code': 13510798915676390, 'n': 95, 'trace_an': 6}
-
id: 126298837
{'hecke_orbit_code': 13510798915676390, 'n': 96, 'trace_an': 1}
-
id: 126298838
{'hecke_orbit_code': 13510798915676390, 'n': 97, 'trace_an': 14}
-
id: 126298839
{'hecke_orbit_code': 13510798915676390, 'n': 98, 'trace_an': -6}
-
id: 126298840
{'hecke_orbit_code': 13510798915676390, 'n': 99, 'trace_an': -2}
-
id: 126298841
{'hecke_orbit_code': 13510798915676390, 'n': 100, 'trace_an': 1}