-
mf_newforms • Show schema
Hide schema
{'Nk2': 50820, 'analytic_conductor': 101.44993576803672, 'atkin_lehner_eigenvals': [[3, -1], [5, 1], [7, 1], [11, 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': [12705, 1, [8471, 2542, 1816, 7141], [28, 28, 28, 28]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 2, 'field_disc_factorization': [[2, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': -1, 'has_non_self_twist': -1, 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972570529, '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': '12705.2.a.bb', 'level': 12705, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7, 11], 'level_radical': 1155, 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '12705.2.a', 'trace_display': [1, 2, -2, -2], 'traces': [2, 1, 2, -1, -2, 1, -2, 0, 2, -1, 0, -1, -7, -1, -2, -3, -2, 1, -8, 1, -2, 0, 2, 0, 2, 4, 2, 1, -6, -1, 15, -9, 0, 4, 2, -1, -16, -9, -7, 0, -4, -1, 12, 0, -2, 1, -1, -3, 2, 1, -2, 11, -6, 1, 0, 0, -8, -3, 11, 1, -6, 5, -2, 4, 7, 0, -7, 6, 2, 1, 6, 0, -2, -3, 2, -1, 0, 4, -6, 3, 2, -2, -10, 1, 2, 21, -6, 0, 29, -1, 7, -1, 15, 17, 8, -9, -4, 1, 0, -1], 'weight': 2, 'weight_parity': 1}
-
label 12705.2.a.bb does not appear in mf_hecke_nf
-
mf_newspaces • Show schema
Hide schema
{'ALdims': [26, 30, 34, 20, 24, 30, 24, 30, 24, 30, 24, 30, 26, 30, 34, 20], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [89, 110, 104, 104, 114, 92, 102, 100, 102, 102, 102, 102, 112, 92, 92, 110], 'Nk2': 50820, 'analytic_conductor': 101.44993576803672, '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': [12705, 1, [8471, 2542, 1816, 7141], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2065, 'dim': 436, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_orbit_code': 33567137, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 16, 16, 16, 16], 'label': '12705.2.a', 'level': 12705, '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': [3, 5, 7, 11], 'level_radical': 1155, 'mf_dim': 2160, 'mf_new_dim': 436, 'num_forms': 81, 'plus_dim': 200, 'prim_orbit_index': 1, 'relative_dim': 436, 'sturm_bound': 4224, 'trace_display': [-4, 0, 0, -4], 'traces': [436, -4, 0, 436, 0, 4, -4, -12, 436, 4, 0, 0, -8, -4, 4, 436, 0, -4, 16, 0, 0, 0, -24, 12, 436, -16, 0, -12, -8, -4, -32, -68, 0, -40, 0, 436, -8, -40, -8, 12, 16, 4, -16, 0, 0, -16, -32, -32, 436, -4, 8, -104, 0, 4, 0, -12, -8, -56, 0, 12, 8, 40, -4, 484, 8, 0, 32, 48, 24, 4, 32, -12, 8, 56, 0, 16, 0, -24, 0, 32, 436, 8, 48, 0, 8, 16, 16, 0, -48, 4, 8, -24, -8, 64, 8, -12, -24, -4, 0, 436, -16, -8, 16, -48, -4, -72, -24, 0, 8, 0, 0, -28, -80, 16, 8, 40, -8, 80, 16, -12, 0, 72, -8, -96, 0, -4, -48, -28, -16, 24, -32, 0, 0, 80, 4, -8, -64, 48, -16, 0, 0, 96, 0, 436, -16, -32, 0, -72, 40, 4, 0, -40, 0, 0, 24, -8, 8, 0, -16, -12, -24, -4, -80, 48, 0, -112, -32, 12, 348, -40, 16, 112, -64, 40, -4, 0, 16, 104, 0, 0, -72, 16, -32, 16, -32, -16, 0, -112, 0, 0, -112, 32, -24, 16, 8, 436, -64, 0, -32, -12, -64, 8, 8, 72, -8, 64, -24, -88, 0, 4, 32, 536, -8, 408, 0, 12, 16, 368, -56, 0, -144, 72, -64, 372, 436, 184, 0, 24, -56, 16, 0, 368, 64, -16, 16, -48, -48, 24, -32, 28, 72, 0, 0, 88, 0, 88, -80, 152, 48, 4, 96, -12, 0, 280, 0, 468, -112, -32, -8, 24, -8, -112, 104, 0, -16, 8, -40, 440, 48, -4, -32, 144, 8, 24, 0, 8, 8, 40, -32, 12, -88, 0, 48, 472, 16, 0, -32, -68, 444, -56, -56, 104, -96, 4, 32, 56, 0, -168, 96, 0, -16, 344, -24, -16, 0, -40, -80, 0, -64, 16, 48, -40, -88, -48, 0, 48, 16, -64, 0, 64, 104, 424, -64, 436, -8, 48, -64, 56, 16, 0, 96, 64, -8, 0, -16, 32, -56, -188, -96, -56, 0, -40, -4, 408, -24, -152, 200, -64, -8, -4, -8, 0, -144, 32, 8, 32, -8, 16, 48, 12, 340, 56, 0, 8, -56, -120, -208, 480, 16, 56, 32, -136, -24, 0, 4, 48, -320, 4, -64, -24, 16, 96, -272, 92, 0, -168, -16, -136, -104, -16, -16, -12, 80, 144, 80, 0, -168, -88, -8, 436, -200, -32, -128, -144, 0, -40, 0, 40, -56, -56, 32, 96, -48, -16, -32, -208, 8, 0, -48, -12, -184, 136, -32, -88, 0, -40, -8, 24, 0, -96, -144, -32, -152, 24, -8, 8, 64, 72, -96, 0, 436, -16, -40, 16, 24, -208, -48, -12, -152, -4, 0, 136, -96, 624, 8, 368, 8, -120, 8, 408, -256, 0, -48, 88, 16, 232, 16, -104, -16, -16, -120, 80, 0, 336, 16, 0, 0, 16, 128, 12, -192, -24, -8, 0, -24, 4, -48, -248, -64, 4, 160, 8, -112, -64, 0, 208, -48, 48, 0, 0, -32, -272, 64, -12, -40, 0, -128, 112, -192, 392, -24, 12, -8, -56, -96, 128, 0, 352, -24, 40, -96, -56, 128, -32, 0, 272, 112, 0, 372, -32, 0, 96, -304, 40, -24, 336, -56, -24, 0, 12, -104, -136, -32, 312, 96, 40, 0, -416, 8, 0, 16, 176, -32, 176, 8, 16, -112, 40, -32, 32, 0, -280, 112, 464, -80, 32, -4, 176, -24, 72, 144, 0, -104, 8, -24, 484, -168, 84, 32, 112, 32, -8, 0, -272, 8, 264, 128, 0, -208, 0, -32, 320, 32, 0, 8, 24, 8, -224, -144, 12, 88, -32, 32, -64, 0, 72, 96, -120, 32, 328, -80, 48, -152, -224, -32, 0, -208, -96, -48, 72, 24, 32, 32, 24, 436, -240, 0, -56, -288, 4, 0, 136, -16, 328, 80, 336, -8, 0, 32, 92, -72, 48, -112, -120, -32, 16, -96, -12, 0, -16, -8, -320, 16, -40, -32, -240, 8, -80, 64, 0, -56, -112, -48, 80, 8, 56, -112, -160, -112, 32, 0, 68, 40, 96, 0, -180, -256, 144, -40, -88, 64, 0, -56, 16, -64, -4, 80, -112, -320, 48, -192, -352, 0, 336, 152, 24, -32, -776, -80, -12, -40, -24, -160, 0, -48, 8, 16, 16, -72, -88, 0, -72, -368, -24, 0, -352, -8, 216, -48, 32, 96, -468, 32, -248, -8, 0, -240, 208, 436, -56, -80, -128, -104, -80, 4, 0, 0, 8, 80, 32, -272, -24, 88, -64, 16, -72, 48, 0, -8, -4, -64, -608, 112, 112, -64, 0, -280, 64, 0, 288, 224, -80, 40, 280, 8, -16, 96, 128, 8, 0, -56, 152, -144, 16, -32, 112, 0, 104, -48, -40, 0, -224, 16, 436, 8, -32, 0, -240, 72, 16, 48, 0, -80, -384, -16, 272, -112, 0, 128, -68, -48, -136, 0, -192, -8, 160, -24, -200, -152, 4, 64, 368, -136, 0, -96, 104, -112, 120, 8, 88, -40, 32, 16, 160, 0, 48, 72, -24, -120, 80, 112, 24, 0, 352, -16, 0, -8, -512, -48, 12, 380, -120, 144, 48, -64, 64, 0, 752, 0, -40, 672, -40, -184, 120, 8, 528, -192, 0, -144, -144, -40, 584, 920, -12, 8, -176, -64, 0, 0, -56, 32, 440, -24, 96, 0, -136, 8, -424, 40, 0, -128, -4, 672, -656, -32, -64, 240, 248, -64, 136, 0, -688, 32, 8, 24, 740, 128, -40, 64, 436, -208, 0, 16, 376, -32, -96, -144, 80, -16, -56, 656, -152, 0, 288, -40, 248, -80, -8, 176, 48, -128, -312, 240, 0, -8, -176, 16, 520, -160, -40, 16, -176, -16, -96, 0, -48, 152, -144, 24, 96, 16, 232, 464, -496, -4, 0, 792, -48, -368, -40, -16, 72, 208, -72, 72, -160, 0, -304, 64, 444, 324, -592, -24, -56, -32, -80, 16, 0, 96, 40, -96, 0, 64, -208, -8, 232, -384, -128, 0, 0, 8, -336, -112, -88, 128, -80, -16, -64, 64, 0, 608, 328, -176, -32, -40, 96, 264, -384, 0, 12], 'weight': 2, 'weight_parity': 1}
-
source_label 12705.2.a.bb does not appear in mf_twists_nf
-
hecke_orbit_code 121597189972570529 does not appear in mf_hecke_charpolys
-
label 12705.2.a.bb does not appear in mf_newform_portraits
-
mf_hecke_traces • Show schema
Hide schema
-
id: 162907642
{'hecke_orbit_code': 121597189972570529, 'n': 1, 'trace_an': 2}
-
id: 162907643
{'hecke_orbit_code': 121597189972570529, 'n': 2, 'trace_an': 1}
-
id: 162907644
{'hecke_orbit_code': 121597189972570529, 'n': 3, 'trace_an': 2}
-
id: 162907645
{'hecke_orbit_code': 121597189972570529, 'n': 4, 'trace_an': -1}
-
id: 162907646
{'hecke_orbit_code': 121597189972570529, 'n': 5, 'trace_an': -2}
-
id: 162907647
{'hecke_orbit_code': 121597189972570529, 'n': 6, 'trace_an': 1}
-
id: 162907648
{'hecke_orbit_code': 121597189972570529, 'n': 7, 'trace_an': -2}
-
id: 162907649
{'hecke_orbit_code': 121597189972570529, 'n': 8, 'trace_an': 0}
-
id: 162907650
{'hecke_orbit_code': 121597189972570529, 'n': 9, 'trace_an': 2}
-
id: 162907651
{'hecke_orbit_code': 121597189972570529, 'n': 10, 'trace_an': -1}
-
id: 162907652
{'hecke_orbit_code': 121597189972570529, 'n': 11, 'trace_an': 0}
-
id: 162907653
{'hecke_orbit_code': 121597189972570529, 'n': 12, 'trace_an': -1}
-
id: 162907654
{'hecke_orbit_code': 121597189972570529, 'n': 13, 'trace_an': -7}
-
id: 162907655
{'hecke_orbit_code': 121597189972570529, 'n': 14, 'trace_an': -1}
-
id: 162907656
{'hecke_orbit_code': 121597189972570529, 'n': 15, 'trace_an': -2}
-
id: 162907657
{'hecke_orbit_code': 121597189972570529, 'n': 16, 'trace_an': -3}
-
id: 162907658
{'hecke_orbit_code': 121597189972570529, 'n': 17, 'trace_an': -2}
-
id: 162907659
{'hecke_orbit_code': 121597189972570529, 'n': 18, 'trace_an': 1}
-
id: 162907660
{'hecke_orbit_code': 121597189972570529, 'n': 19, 'trace_an': -8}
-
id: 162907661
{'hecke_orbit_code': 121597189972570529, 'n': 20, 'trace_an': 1}
-
id: 162907662
{'hecke_orbit_code': 121597189972570529, 'n': 21, 'trace_an': -2}
-
id: 162907663
{'hecke_orbit_code': 121597189972570529, 'n': 22, 'trace_an': 0}
-
id: 162907664
{'hecke_orbit_code': 121597189972570529, 'n': 23, 'trace_an': 2}
-
id: 162907665
{'hecke_orbit_code': 121597189972570529, 'n': 24, 'trace_an': 0}
-
id: 162907666
{'hecke_orbit_code': 121597189972570529, 'n': 25, 'trace_an': 2}
-
id: 162907667
{'hecke_orbit_code': 121597189972570529, 'n': 26, 'trace_an': 4}
-
id: 162907668
{'hecke_orbit_code': 121597189972570529, 'n': 27, 'trace_an': 2}
-
id: 162907669
{'hecke_orbit_code': 121597189972570529, 'n': 28, 'trace_an': 1}
-
id: 162907670
{'hecke_orbit_code': 121597189972570529, 'n': 29, 'trace_an': -6}
-
id: 162907671
{'hecke_orbit_code': 121597189972570529, 'n': 30, 'trace_an': -1}
-
id: 162907672
{'hecke_orbit_code': 121597189972570529, 'n': 31, 'trace_an': 15}
-
id: 162907673
{'hecke_orbit_code': 121597189972570529, 'n': 32, 'trace_an': -9}
-
id: 162907674
{'hecke_orbit_code': 121597189972570529, 'n': 33, 'trace_an': 0}
-
id: 162907675
{'hecke_orbit_code': 121597189972570529, 'n': 34, 'trace_an': 4}
-
id: 162907676
{'hecke_orbit_code': 121597189972570529, 'n': 35, 'trace_an': 2}
-
id: 162907677
{'hecke_orbit_code': 121597189972570529, 'n': 36, 'trace_an': -1}
-
id: 162907678
{'hecke_orbit_code': 121597189972570529, 'n': 37, 'trace_an': -16}
-
id: 162907679
{'hecke_orbit_code': 121597189972570529, 'n': 38, 'trace_an': -9}
-
id: 162907680
{'hecke_orbit_code': 121597189972570529, 'n': 39, 'trace_an': -7}
-
id: 162907681
{'hecke_orbit_code': 121597189972570529, 'n': 40, 'trace_an': 0}
-
id: 162907682
{'hecke_orbit_code': 121597189972570529, 'n': 41, 'trace_an': -4}
-
id: 162907683
{'hecke_orbit_code': 121597189972570529, 'n': 42, 'trace_an': -1}
-
id: 162907684
{'hecke_orbit_code': 121597189972570529, 'n': 43, 'trace_an': 12}
-
id: 162907685
{'hecke_orbit_code': 121597189972570529, 'n': 44, 'trace_an': 0}
-
id: 162907686
{'hecke_orbit_code': 121597189972570529, 'n': 45, 'trace_an': -2}
-
id: 162907687
{'hecke_orbit_code': 121597189972570529, 'n': 46, 'trace_an': 1}
-
id: 162907688
{'hecke_orbit_code': 121597189972570529, 'n': 47, 'trace_an': -1}
-
id: 162907689
{'hecke_orbit_code': 121597189972570529, 'n': 48, 'trace_an': -3}
-
id: 162907690
{'hecke_orbit_code': 121597189972570529, 'n': 49, 'trace_an': 2}
-
id: 162907691
{'hecke_orbit_code': 121597189972570529, 'n': 50, 'trace_an': 1}
-
id: 162907692
{'hecke_orbit_code': 121597189972570529, 'n': 51, 'trace_an': -2}
-
id: 162907693
{'hecke_orbit_code': 121597189972570529, 'n': 52, 'trace_an': 11}
-
id: 162907694
{'hecke_orbit_code': 121597189972570529, 'n': 53, 'trace_an': -6}
-
id: 162907695
{'hecke_orbit_code': 121597189972570529, 'n': 54, 'trace_an': 1}
-
id: 162907696
{'hecke_orbit_code': 121597189972570529, 'n': 55, 'trace_an': 0}
-
id: 162907697
{'hecke_orbit_code': 121597189972570529, 'n': 56, 'trace_an': 0}
-
id: 162907698
{'hecke_orbit_code': 121597189972570529, 'n': 57, 'trace_an': -8}
-
id: 162907699
{'hecke_orbit_code': 121597189972570529, 'n': 58, 'trace_an': -3}
-
id: 162907700
{'hecke_orbit_code': 121597189972570529, 'n': 59, 'trace_an': 11}
-
id: 162907701
{'hecke_orbit_code': 121597189972570529, 'n': 60, 'trace_an': 1}
-
id: 162907702
{'hecke_orbit_code': 121597189972570529, 'n': 61, 'trace_an': -6}
-
id: 162907703
{'hecke_orbit_code': 121597189972570529, 'n': 62, 'trace_an': 5}
-
id: 162907704
{'hecke_orbit_code': 121597189972570529, 'n': 63, 'trace_an': -2}
-
id: 162907705
{'hecke_orbit_code': 121597189972570529, 'n': 64, 'trace_an': 4}
-
id: 162907706
{'hecke_orbit_code': 121597189972570529, 'n': 65, 'trace_an': 7}
-
id: 162907707
{'hecke_orbit_code': 121597189972570529, 'n': 66, 'trace_an': 0}
-
id: 162907708
{'hecke_orbit_code': 121597189972570529, 'n': 67, 'trace_an': -7}
-
id: 162907709
{'hecke_orbit_code': 121597189972570529, 'n': 68, 'trace_an': 6}
-
id: 162907710
{'hecke_orbit_code': 121597189972570529, 'n': 69, 'trace_an': 2}
-
id: 162907711
{'hecke_orbit_code': 121597189972570529, 'n': 70, 'trace_an': 1}
-
id: 162907712
{'hecke_orbit_code': 121597189972570529, 'n': 71, 'trace_an': 6}
-
id: 162907713
{'hecke_orbit_code': 121597189972570529, 'n': 72, 'trace_an': 0}
-
id: 162907714
{'hecke_orbit_code': 121597189972570529, 'n': 73, 'trace_an': -2}
-
id: 162907715
{'hecke_orbit_code': 121597189972570529, 'n': 74, 'trace_an': -3}
-
id: 162907716
{'hecke_orbit_code': 121597189972570529, 'n': 75, 'trace_an': 2}
-
id: 162907717
{'hecke_orbit_code': 121597189972570529, 'n': 76, 'trace_an': -1}
-
id: 162907718
{'hecke_orbit_code': 121597189972570529, 'n': 77, 'trace_an': 0}
-
id: 162907719
{'hecke_orbit_code': 121597189972570529, 'n': 78, 'trace_an': 4}
-
id: 162907720
{'hecke_orbit_code': 121597189972570529, 'n': 79, 'trace_an': -6}
-
id: 162907721
{'hecke_orbit_code': 121597189972570529, 'n': 80, 'trace_an': 3}
-
id: 162907722
{'hecke_orbit_code': 121597189972570529, 'n': 81, 'trace_an': 2}
-
id: 162907723
{'hecke_orbit_code': 121597189972570529, 'n': 82, 'trace_an': -2}
-
id: 162907724
{'hecke_orbit_code': 121597189972570529, 'n': 83, 'trace_an': -10}
-
id: 162907725
{'hecke_orbit_code': 121597189972570529, 'n': 84, 'trace_an': 1}
-
id: 162907726
{'hecke_orbit_code': 121597189972570529, 'n': 85, 'trace_an': 2}
-
id: 162907727
{'hecke_orbit_code': 121597189972570529, 'n': 86, 'trace_an': 21}
-
id: 162907728
{'hecke_orbit_code': 121597189972570529, 'n': 87, 'trace_an': -6}
-
id: 162907729
{'hecke_orbit_code': 121597189972570529, 'n': 88, 'trace_an': 0}
-
id: 162907730
{'hecke_orbit_code': 121597189972570529, 'n': 89, 'trace_an': 29}
-
id: 162907731
{'hecke_orbit_code': 121597189972570529, 'n': 90, 'trace_an': -1}
-
id: 162907732
{'hecke_orbit_code': 121597189972570529, 'n': 91, 'trace_an': 7}
-
id: 162907733
{'hecke_orbit_code': 121597189972570529, 'n': 92, 'trace_an': -1}
-
id: 162907734
{'hecke_orbit_code': 121597189972570529, 'n': 93, 'trace_an': 15}
-
id: 162907735
{'hecke_orbit_code': 121597189972570529, 'n': 94, 'trace_an': 17}
-
id: 162907736
{'hecke_orbit_code': 121597189972570529, 'n': 95, 'trace_an': 8}
-
id: 162907737
{'hecke_orbit_code': 121597189972570529, 'n': 96, 'trace_an': -9}
-
id: 162907738
{'hecke_orbit_code': 121597189972570529, 'n': 97, 'trace_an': -4}
-
id: 162907739
{'hecke_orbit_code': 121597189972570529, 'n': 98, 'trace_an': 1}
-
id: 162907740
{'hecke_orbit_code': 121597189972570529, 'n': 99, 'trace_an': 0}
-
id: 162907741
{'hecke_orbit_code': 121597189972570529, 'n': 100, 'trace_an': -1}