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mf_newforms • Show schema
Hide schema
{'Nk2': 48552, 'analytic_conductor': 96.92241797343013, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, 1], [17, 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': [12138, 1, [8093, 10405, 9829], [22, 22, 22]], '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': -1, 'hecke_orbit': 22, 'hecke_orbit_code': 94575592208346986, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': -1, 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'label': '12138.2.a.v', 'level': 12138, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 17], 'level_radical': 714, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}-3q^{5}+q^{6}-q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/12138/v'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '12138.2.a', 'trace_display': [1, 1, -3, -1], 'traces': [1, 1, 1, 1, -3, 1, -1, 1, 1, -3, -5, 1, 0, -1, -3, 1, 0, 1, 6, -3, -1, -5, 2, 1, 4, 0, 1, -1, 9, -3, 3, 1, -5, 0, 3, 1, -6, 6, 0, -3, -6, -1, -4, -5, -3, 2, 6, 1, 1, 4, 0, 0, 3, 1, 15, -1, 6, 9, -13, -3, -4, 3, -1, 1, 0, -5, 8, 0, 2, 3, -6, 1, 1, -6, 4, 6, 5, 0, -13, -3, 1, -6, 12, -1, 0, -4, 9, -5, -4, -3, 0, 2, 3, 6, -18, 1, -5, 1, -5, 4], 'weight': 2, 'weight_parity': 1}
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label 12138.2.a.v does not appear in mf_hecke_nf
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mf_newspaces • Show schema
Hide schema
{'ALdims': [18, 16, 18, 16, 18, 16, 18, 16, 21, 12, 14, 20, 14, 20, 21, 12], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], 'ALdims_old': [118, 145, 135, 129, 135, 129, 135, 127, 132, 132, 130, 133, 139, 124, 123, 141], 'Nk2': 48552, 'analytic_conductor': 96.92241797343013, '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': [12138, 1, [8093, 10405, 9829], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2377, 'dim': 270, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_orbit_code': 33566570, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 12, 12], 'label': '12138.2.a', 'level': 12138, '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': False, 'level_primes': [2, 3, 7, 17], 'level_radical': 714, 'mf_dim': 2520, 'mf_new_dim': 270, 'num_forms': 82, 'plus_dim': 120, 'prim_orbit_index': 1, 'relative_dim': 270, 'sturm_bound': 4896, 'trace_display': [-2, 0, -4, 0], 'traces': [270, -2, 0, 270, -4, 0, 0, -2, 270, -4, -8, 0, -20, 0, -8, 270, 0, -2, -16, -4, -2, 0, 0, 0, 258, -4, 0, 0, -12, -8, -16, -2, -16, 0, 8, 270, -20, 16, -8, -4, -4, -2, -8, -8, -4, 0, 16, 0, 270, 2, 0, -20, 36, 0, 0, 0, -16, 12, 32, -8, -4, 32, 0, 270, 24, 0, -40, 0, 0, -8, 16, -2, 12, -12, -32, -16, -16, 0, 0, -4, 270, 28, 0, -2, 0, -8, 0, 0, -36, -4, 0, 0, -16, -16, 32, 0, 12, -2, -8, 258, 28, 0, -48, -4, 4, -28, -8, 0, 28, 0, -16, 0, 28, 24, 16, -12, -20, 32, 0, -8, 246, -36, 16, -16, 24, 0, 0, -2, -16, -8, 48, -16, 16, 24, -8, 0, 44, 0, 64, 8, 32, 0, 112, 270, 56, 12, 0, -20, 36, 32, 32, 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36, -56, 0, 16, 0, -4, 40, 32, 16, 28, -48, -16, 48, 36, -144, 48, 0, 664, -52, 0, -16, -48, -64, -208, -12, 12, 0, 48, 16, 60, 32, 40, 0, -100, -2, -104, 0, -96, -8, -96, 0, -32, -136, -8, -32, -16, -16, -112, 0, -64, -20, -256, 258, 0, -64, -24, 28, -136, -48, -112, 48, 28, 16, -48, -16, -64, 396, -96, -52, -24, 0, -160, 64, 16, -292, 224, 8, -204, 0, -48, 12, 12, 0, -16, 44, -112, 32, 0, -4, -164, 32, -96, 48, -148, -48, -128, 32, 4, 48, 8, -64, -40, 144, -64, 0, -100, -28, 32, -80, 128, 0, -32, -8, 158, 40, -8, -116, 248, -8, -192, 22, 0, -152, -160, 0, -40, -112, 72, -4, -228, 16, -256, -4, 28, 8, 64, 0, -136, 0, -16, -48, 192, 0, -256, 32, -112, -32, -272, 48, 44, 152, -16, -72], 'weight': 2, 'weight_parity': 1}
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source_label 12138.2.a.v does not appear in mf_twists_nf
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hecke_orbit_code 94575592208346986 does not appear in mf_hecke_charpolys
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label 12138.2.a.v does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 158035542
{'hecke_orbit_code': 94575592208346986, 'n': 1, 'trace_an': 1}
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id: 158035543
{'hecke_orbit_code': 94575592208346986, 'n': 2, 'trace_an': 1}
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id: 158035544
{'hecke_orbit_code': 94575592208346986, 'n': 3, 'trace_an': 1}
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id: 158035545
{'hecke_orbit_code': 94575592208346986, 'n': 4, 'trace_an': 1}
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id: 158035546
{'hecke_orbit_code': 94575592208346986, 'n': 5, 'trace_an': -3}
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id: 158035547
{'hecke_orbit_code': 94575592208346986, 'n': 6, 'trace_an': 1}
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id: 158035548
{'hecke_orbit_code': 94575592208346986, 'n': 7, 'trace_an': -1}
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id: 158035549
{'hecke_orbit_code': 94575592208346986, 'n': 8, 'trace_an': 1}
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id: 158035550
{'hecke_orbit_code': 94575592208346986, 'n': 9, 'trace_an': 1}
-
id: 158035551
{'hecke_orbit_code': 94575592208346986, 'n': 10, 'trace_an': -3}
-
id: 158035552
{'hecke_orbit_code': 94575592208346986, 'n': 11, 'trace_an': -5}
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id: 158035553
{'hecke_orbit_code': 94575592208346986, 'n': 12, 'trace_an': 1}
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id: 158035554
{'hecke_orbit_code': 94575592208346986, 'n': 13, 'trace_an': 0}
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id: 158035555
{'hecke_orbit_code': 94575592208346986, 'n': 14, 'trace_an': -1}
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id: 158035556
{'hecke_orbit_code': 94575592208346986, 'n': 15, 'trace_an': -3}
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id: 158035557
{'hecke_orbit_code': 94575592208346986, 'n': 16, 'trace_an': 1}
-
id: 158035558
{'hecke_orbit_code': 94575592208346986, 'n': 17, 'trace_an': 0}
-
id: 158035559
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-
id: 158035560
{'hecke_orbit_code': 94575592208346986, 'n': 19, 'trace_an': 6}
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id: 158035561
{'hecke_orbit_code': 94575592208346986, 'n': 20, 'trace_an': -3}
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id: 158035562
{'hecke_orbit_code': 94575592208346986, 'n': 21, 'trace_an': -1}
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id: 158035563
{'hecke_orbit_code': 94575592208346986, 'n': 22, 'trace_an': -5}
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id: 158035564
{'hecke_orbit_code': 94575592208346986, 'n': 23, 'trace_an': 2}
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id: 158035565
{'hecke_orbit_code': 94575592208346986, 'n': 24, 'trace_an': 1}
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id: 158035566
{'hecke_orbit_code': 94575592208346986, 'n': 25, 'trace_an': 4}
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id: 158035567
{'hecke_orbit_code': 94575592208346986, 'n': 26, 'trace_an': 0}
-
id: 158035568
{'hecke_orbit_code': 94575592208346986, 'n': 27, 'trace_an': 1}
-
id: 158035569
{'hecke_orbit_code': 94575592208346986, 'n': 28, 'trace_an': -1}
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id: 158035570
{'hecke_orbit_code': 94575592208346986, 'n': 29, 'trace_an': 9}
-
id: 158035571
{'hecke_orbit_code': 94575592208346986, 'n': 30, 'trace_an': -3}
-
id: 158035572
{'hecke_orbit_code': 94575592208346986, 'n': 31, 'trace_an': 3}
-
id: 158035573
{'hecke_orbit_code': 94575592208346986, 'n': 32, 'trace_an': 1}
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id: 158035574
{'hecke_orbit_code': 94575592208346986, 'n': 33, 'trace_an': -5}
-
id: 158035575
{'hecke_orbit_code': 94575592208346986, 'n': 34, 'trace_an': 0}
-
id: 158035576
{'hecke_orbit_code': 94575592208346986, 'n': 35, 'trace_an': 3}
-
id: 158035577
{'hecke_orbit_code': 94575592208346986, 'n': 36, 'trace_an': 1}
-
id: 158035578
{'hecke_orbit_code': 94575592208346986, 'n': 37, 'trace_an': -6}
-
id: 158035579
{'hecke_orbit_code': 94575592208346986, 'n': 38, 'trace_an': 6}
-
id: 158035580
{'hecke_orbit_code': 94575592208346986, 'n': 39, 'trace_an': 0}
-
id: 158035581
{'hecke_orbit_code': 94575592208346986, 'n': 40, 'trace_an': -3}
-
id: 158035582
{'hecke_orbit_code': 94575592208346986, 'n': 41, 'trace_an': -6}
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id: 158035583
{'hecke_orbit_code': 94575592208346986, 'n': 42, 'trace_an': -1}
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id: 158035584
{'hecke_orbit_code': 94575592208346986, 'n': 43, 'trace_an': -4}
-
id: 158035585
{'hecke_orbit_code': 94575592208346986, 'n': 44, 'trace_an': -5}
-
id: 158035586
{'hecke_orbit_code': 94575592208346986, 'n': 45, 'trace_an': -3}
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id: 158035587
{'hecke_orbit_code': 94575592208346986, 'n': 46, 'trace_an': 2}
-
id: 158035588
{'hecke_orbit_code': 94575592208346986, 'n': 47, 'trace_an': 6}
-
id: 158035589
{'hecke_orbit_code': 94575592208346986, 'n': 48, 'trace_an': 1}
-
id: 158035590
{'hecke_orbit_code': 94575592208346986, 'n': 49, 'trace_an': 1}
-
id: 158035591
{'hecke_orbit_code': 94575592208346986, 'n': 50, 'trace_an': 4}
-
id: 158035592
{'hecke_orbit_code': 94575592208346986, 'n': 51, 'trace_an': 0}
-
id: 158035593
{'hecke_orbit_code': 94575592208346986, 'n': 52, 'trace_an': 0}
-
id: 158035594
{'hecke_orbit_code': 94575592208346986, 'n': 53, 'trace_an': 3}
-
id: 158035595
{'hecke_orbit_code': 94575592208346986, 'n': 54, 'trace_an': 1}
-
id: 158035596
{'hecke_orbit_code': 94575592208346986, 'n': 55, 'trace_an': 15}
-
id: 158035597
{'hecke_orbit_code': 94575592208346986, 'n': 56, 'trace_an': -1}
-
id: 158035598
{'hecke_orbit_code': 94575592208346986, 'n': 57, 'trace_an': 6}
-
id: 158035599
{'hecke_orbit_code': 94575592208346986, 'n': 58, 'trace_an': 9}
-
id: 158035600
{'hecke_orbit_code': 94575592208346986, 'n': 59, 'trace_an': -13}
-
id: 158035601
{'hecke_orbit_code': 94575592208346986, 'n': 60, 'trace_an': -3}
-
id: 158035602
{'hecke_orbit_code': 94575592208346986, 'n': 61, 'trace_an': -4}
-
id: 158035603
{'hecke_orbit_code': 94575592208346986, 'n': 62, 'trace_an': 3}
-
id: 158035604
{'hecke_orbit_code': 94575592208346986, 'n': 63, 'trace_an': -1}
-
id: 158035605
{'hecke_orbit_code': 94575592208346986, 'n': 64, 'trace_an': 1}
-
id: 158035606
{'hecke_orbit_code': 94575592208346986, 'n': 65, 'trace_an': 0}
-
id: 158035607
{'hecke_orbit_code': 94575592208346986, 'n': 66, 'trace_an': -5}
-
id: 158035608
{'hecke_orbit_code': 94575592208346986, 'n': 67, 'trace_an': 8}
-
id: 158035609
{'hecke_orbit_code': 94575592208346986, 'n': 68, 'trace_an': 0}
-
id: 158035610
{'hecke_orbit_code': 94575592208346986, 'n': 69, 'trace_an': 2}
-
id: 158035611
{'hecke_orbit_code': 94575592208346986, 'n': 70, 'trace_an': 3}
-
id: 158035612
{'hecke_orbit_code': 94575592208346986, 'n': 71, 'trace_an': -6}
-
id: 158035613
{'hecke_orbit_code': 94575592208346986, 'n': 72, 'trace_an': 1}
-
id: 158035614
{'hecke_orbit_code': 94575592208346986, 'n': 73, 'trace_an': 1}
-
id: 158035615
{'hecke_orbit_code': 94575592208346986, 'n': 74, 'trace_an': -6}
-
id: 158035616
{'hecke_orbit_code': 94575592208346986, 'n': 75, 'trace_an': 4}
-
id: 158035617
{'hecke_orbit_code': 94575592208346986, 'n': 76, 'trace_an': 6}
-
id: 158035618
{'hecke_orbit_code': 94575592208346986, 'n': 77, 'trace_an': 5}
-
id: 158035619
{'hecke_orbit_code': 94575592208346986, 'n': 78, 'trace_an': 0}
-
id: 158035620
{'hecke_orbit_code': 94575592208346986, 'n': 79, 'trace_an': -13}
-
id: 158035621
{'hecke_orbit_code': 94575592208346986, 'n': 80, 'trace_an': -3}
-
id: 158035622
{'hecke_orbit_code': 94575592208346986, 'n': 81, 'trace_an': 1}
-
id: 158035623
{'hecke_orbit_code': 94575592208346986, 'n': 82, 'trace_an': -6}
-
id: 158035624
{'hecke_orbit_code': 94575592208346986, 'n': 83, 'trace_an': 12}
-
id: 158035625
{'hecke_orbit_code': 94575592208346986, 'n': 84, 'trace_an': -1}
-
id: 158035626
{'hecke_orbit_code': 94575592208346986, 'n': 85, 'trace_an': 0}
-
id: 158035627
{'hecke_orbit_code': 94575592208346986, 'n': 86, 'trace_an': -4}
-
id: 158035628
{'hecke_orbit_code': 94575592208346986, 'n': 87, 'trace_an': 9}
-
id: 158035629
{'hecke_orbit_code': 94575592208346986, 'n': 88, 'trace_an': -5}
-
id: 158035630
{'hecke_orbit_code': 94575592208346986, 'n': 89, 'trace_an': -4}
-
id: 158035631
{'hecke_orbit_code': 94575592208346986, 'n': 90, 'trace_an': -3}
-
id: 158035632
{'hecke_orbit_code': 94575592208346986, 'n': 91, 'trace_an': 0}
-
id: 158035633
{'hecke_orbit_code': 94575592208346986, 'n': 92, 'trace_an': 2}
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id: 158035634
{'hecke_orbit_code': 94575592208346986, 'n': 93, 'trace_an': 3}
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id: 158035635
{'hecke_orbit_code': 94575592208346986, 'n': 94, 'trace_an': 6}
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id: 158035636
{'hecke_orbit_code': 94575592208346986, 'n': 95, 'trace_an': -18}
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id: 158035637
{'hecke_orbit_code': 94575592208346986, 'n': 96, 'trace_an': 1}
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id: 158035638
{'hecke_orbit_code': 94575592208346986, 'n': 97, 'trace_an': -5}
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id: 158035639
{'hecke_orbit_code': 94575592208346986, 'n': 98, 'trace_an': 1}
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id: 158035640
{'hecke_orbit_code': 94575592208346986, 'n': 99, 'trace_an': -5}
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id: 158035641
{'hecke_orbit_code': 94575592208346986, 'n': 100, 'trace_an': 4}