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mf_newforms • Show schema
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{'Nk2': 40920, 'analytic_conductor': 81.68696126776983, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 1], [11, -1], [31, -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': [10230, 1, [6821, 2047, 1861, 9241], [16, 16, 16, 16]], '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': 16, 'hecke_orbit_code': 67553994444122102, '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': '10230.2.a.p', 'level': 10230, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 11, 31], 'level_radical': 10230, 'minimal_twist': '10230.2.a.p', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+4q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/10230/p'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '10230.2.a', 'trace_display': [-1, 1, -1, 4], 'traces': [1, -1, 1, 1, -1, -1, 4, -1, 1, 1, 1, 1, -6, -4, -1, 1, 2, -1, -2, -1, 4, -1, -4, -1, 1, 6, 1, 4, 8, 1, 1, -1, 1, -2, -4, 1, -4, 2, -6, 1, -6, -4, -4, 1, -1, 4, -2, 1, 9, -1, 2, -6, 12, -1, -1, -4, -2, -8, 8, -1, 8, -1, 4, 1, 6, -1, -14, 2, -4, 4, 0, -1, 10, 4, 1, -2, 4, 6, 4, -1, 1, 6, -4, 4, -2, 4, 8, -1, 6, 1, -24, -4, 1, 2, 2, -1, -2, -9, 1, 1], 'weight': 2, 'weight_parity': 1}
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label 10230.2.a.p does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [4, 9, 8, 4, 8, 5, 6, 6, 6, 6, 7, 6, 4, 8, 7, 6, 8, 4, 4, 9, 7, 7, 7, 4, 5, 8, 8, 4, 8, 3, 3, 10], 'ALdims_eis_new': [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, 0], 'ALdims_eis_old': [0, 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], 'ALdims_old': [58, 69, 70, 63, 65, 65, 64, 67, 67, 62, 67, 67, 65, 66, 67, 63, 66, 66, 69, 62, 61, 65, 68, 67, 63, 66, 63, 67, 58, 71, 74, 59], 'Nk2': 40920, 'analytic_conductor': 81.68696126776983, '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': [10230, 1, [6821, 2047, 1861, 9241], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2289, 'dim': 199, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_orbit_code': 33564662, '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, 2, 2, 2, 2, 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source_label 10230.2.a.p does not appear in mf_twists_nf
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hecke_orbit_code 67553994444122102 does not appear in mf_hecke_charpolys
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label 10230.2.a.p does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 151426542
{'hecke_orbit_code': 67553994444122102, 'n': 1, 'trace_an': 1}
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id: 151426543
{'hecke_orbit_code': 67553994444122102, 'n': 2, 'trace_an': -1}
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id: 151426544
{'hecke_orbit_code': 67553994444122102, 'n': 3, 'trace_an': 1}
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id: 151426545
{'hecke_orbit_code': 67553994444122102, 'n': 4, 'trace_an': 1}
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id: 151426546
{'hecke_orbit_code': 67553994444122102, 'n': 5, 'trace_an': -1}
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id: 151426547
{'hecke_orbit_code': 67553994444122102, 'n': 6, 'trace_an': -1}
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id: 151426548
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id: 151426549
{'hecke_orbit_code': 67553994444122102, 'n': 8, 'trace_an': -1}
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id: 151426550
{'hecke_orbit_code': 67553994444122102, 'n': 9, 'trace_an': 1}
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id: 151426551
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id: 151426552
{'hecke_orbit_code': 67553994444122102, 'n': 11, 'trace_an': 1}
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id: 151426553
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id: 151426554
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id: 151426555
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id: 151426556
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id: 151426557
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id: 151426558
{'hecke_orbit_code': 67553994444122102, 'n': 17, 'trace_an': 2}
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id: 151426559
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id: 151426560
{'hecke_orbit_code': 67553994444122102, 'n': 19, 'trace_an': -2}
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id: 151426561
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id: 151426562
{'hecke_orbit_code': 67553994444122102, 'n': 21, 'trace_an': 4}
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id: 151426563
{'hecke_orbit_code': 67553994444122102, 'n': 22, 'trace_an': -1}
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id: 151426564
{'hecke_orbit_code': 67553994444122102, 'n': 23, 'trace_an': -4}
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id: 151426565
{'hecke_orbit_code': 67553994444122102, 'n': 24, 'trace_an': -1}
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id: 151426566
{'hecke_orbit_code': 67553994444122102, 'n': 25, 'trace_an': 1}
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id: 151426567
{'hecke_orbit_code': 67553994444122102, 'n': 26, 'trace_an': 6}
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id: 151426568
{'hecke_orbit_code': 67553994444122102, 'n': 27, 'trace_an': 1}
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id: 151426569
{'hecke_orbit_code': 67553994444122102, 'n': 28, 'trace_an': 4}
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id: 151426570
{'hecke_orbit_code': 67553994444122102, 'n': 29, 'trace_an': 8}
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id: 151426571
{'hecke_orbit_code': 67553994444122102, 'n': 30, 'trace_an': 1}
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id: 151426572
{'hecke_orbit_code': 67553994444122102, 'n': 31, 'trace_an': 1}
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id: 151426573
{'hecke_orbit_code': 67553994444122102, 'n': 32, 'trace_an': -1}
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id: 151426574
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-
id: 151426575
{'hecke_orbit_code': 67553994444122102, 'n': 34, 'trace_an': -2}
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id: 151426576
{'hecke_orbit_code': 67553994444122102, 'n': 35, 'trace_an': -4}
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id: 151426577
{'hecke_orbit_code': 67553994444122102, 'n': 36, 'trace_an': 1}
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id: 151426578
{'hecke_orbit_code': 67553994444122102, 'n': 37, 'trace_an': -4}
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id: 151426579
{'hecke_orbit_code': 67553994444122102, 'n': 38, 'trace_an': 2}
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id: 151426580
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id: 151426581
{'hecke_orbit_code': 67553994444122102, 'n': 40, 'trace_an': 1}
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id: 151426582
{'hecke_orbit_code': 67553994444122102, 'n': 41, 'trace_an': -6}
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id: 151426583
{'hecke_orbit_code': 67553994444122102, 'n': 42, 'trace_an': -4}
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id: 151426584
{'hecke_orbit_code': 67553994444122102, 'n': 43, 'trace_an': -4}
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id: 151426585
{'hecke_orbit_code': 67553994444122102, 'n': 44, 'trace_an': 1}
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id: 151426586
{'hecke_orbit_code': 67553994444122102, 'n': 45, 'trace_an': -1}
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id: 151426587
{'hecke_orbit_code': 67553994444122102, 'n': 46, 'trace_an': 4}
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id: 151426588
{'hecke_orbit_code': 67553994444122102, 'n': 47, 'trace_an': -2}
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id: 151426589
{'hecke_orbit_code': 67553994444122102, 'n': 48, 'trace_an': 1}
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id: 151426590
{'hecke_orbit_code': 67553994444122102, 'n': 49, 'trace_an': 9}
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id: 151426591
{'hecke_orbit_code': 67553994444122102, 'n': 50, 'trace_an': -1}
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id: 151426592
{'hecke_orbit_code': 67553994444122102, 'n': 51, 'trace_an': 2}
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id: 151426593
{'hecke_orbit_code': 67553994444122102, 'n': 52, 'trace_an': -6}
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id: 151426594
{'hecke_orbit_code': 67553994444122102, 'n': 53, 'trace_an': 12}
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id: 151426595
{'hecke_orbit_code': 67553994444122102, 'n': 54, 'trace_an': -1}
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id: 151426596
{'hecke_orbit_code': 67553994444122102, 'n': 55, 'trace_an': -1}
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id: 151426597
{'hecke_orbit_code': 67553994444122102, 'n': 56, 'trace_an': -4}
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id: 151426598
{'hecke_orbit_code': 67553994444122102, 'n': 57, 'trace_an': -2}
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id: 151426599
{'hecke_orbit_code': 67553994444122102, 'n': 58, 'trace_an': -8}
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id: 151426600
{'hecke_orbit_code': 67553994444122102, 'n': 59, 'trace_an': 8}
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id: 151426601
{'hecke_orbit_code': 67553994444122102, 'n': 60, 'trace_an': -1}
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id: 151426602
{'hecke_orbit_code': 67553994444122102, 'n': 61, 'trace_an': 8}
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id: 151426603
{'hecke_orbit_code': 67553994444122102, 'n': 62, 'trace_an': -1}
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id: 151426604
{'hecke_orbit_code': 67553994444122102, 'n': 63, 'trace_an': 4}
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id: 151426605
{'hecke_orbit_code': 67553994444122102, 'n': 64, 'trace_an': 1}
-
id: 151426606
{'hecke_orbit_code': 67553994444122102, 'n': 65, 'trace_an': 6}
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id: 151426607
{'hecke_orbit_code': 67553994444122102, 'n': 66, 'trace_an': -1}
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id: 151426608
{'hecke_orbit_code': 67553994444122102, 'n': 67, 'trace_an': -14}
-
id: 151426609
{'hecke_orbit_code': 67553994444122102, 'n': 68, 'trace_an': 2}
-
id: 151426610
{'hecke_orbit_code': 67553994444122102, 'n': 69, 'trace_an': -4}
-
id: 151426611
{'hecke_orbit_code': 67553994444122102, 'n': 70, 'trace_an': 4}
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id: 151426612
{'hecke_orbit_code': 67553994444122102, 'n': 71, 'trace_an': 0}
-
id: 151426613
{'hecke_orbit_code': 67553994444122102, 'n': 72, 'trace_an': -1}
-
id: 151426614
{'hecke_orbit_code': 67553994444122102, 'n': 73, 'trace_an': 10}
-
id: 151426615
{'hecke_orbit_code': 67553994444122102, 'n': 74, 'trace_an': 4}
-
id: 151426616
{'hecke_orbit_code': 67553994444122102, 'n': 75, 'trace_an': 1}
-
id: 151426617
{'hecke_orbit_code': 67553994444122102, 'n': 76, 'trace_an': -2}
-
id: 151426618
{'hecke_orbit_code': 67553994444122102, 'n': 77, 'trace_an': 4}
-
id: 151426619
{'hecke_orbit_code': 67553994444122102, 'n': 78, 'trace_an': 6}
-
id: 151426620
{'hecke_orbit_code': 67553994444122102, 'n': 79, 'trace_an': 4}
-
id: 151426621
{'hecke_orbit_code': 67553994444122102, 'n': 80, 'trace_an': -1}
-
id: 151426622
{'hecke_orbit_code': 67553994444122102, 'n': 81, 'trace_an': 1}
-
id: 151426623
{'hecke_orbit_code': 67553994444122102, 'n': 82, 'trace_an': 6}
-
id: 151426624
{'hecke_orbit_code': 67553994444122102, 'n': 83, 'trace_an': -4}
-
id: 151426625
{'hecke_orbit_code': 67553994444122102, 'n': 84, 'trace_an': 4}
-
id: 151426626
{'hecke_orbit_code': 67553994444122102, 'n': 85, 'trace_an': -2}
-
id: 151426627
{'hecke_orbit_code': 67553994444122102, 'n': 86, 'trace_an': 4}
-
id: 151426628
{'hecke_orbit_code': 67553994444122102, 'n': 87, 'trace_an': 8}
-
id: 151426629
{'hecke_orbit_code': 67553994444122102, 'n': 88, 'trace_an': -1}
-
id: 151426630
{'hecke_orbit_code': 67553994444122102, 'n': 89, 'trace_an': 6}
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id: 151426631
{'hecke_orbit_code': 67553994444122102, 'n': 90, 'trace_an': 1}
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id: 151426640
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id: 151426641
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