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mf_newforms • Show schema
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{'Nk2': 140524, 'analytic_conductor': 280.5224473409601, 'atkin_lehner_eigenvals': [[19, 1], [43, 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': [35131, 1, [29585, 11097], [5, 5]], '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': 5, 'hecke_orbit_code': 18014398543071547, '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': '35131.2.a.e', 'level': 35131, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [19, 43], 'level_radical': 817, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-2q^{3}-q^{4}+2q^{5}-2q^{6}-3q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/35131/e'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '35131.2.a', 'trace_display': [1, -2, 2, -3], 'traces': [1, 1, -2, -1, 2, -2, -3, -3, 1, 2, 3, 2, -2, -3, -4, -1, -3, 1, -1, -2, 6, 3, -1, 6, -1, -2, 4, 3, 0, -4, 2, 5, -6, -3, -6, -1, 0, -1, 4, -6, 2, 6, 0, -3, 2, -1, -8, 2, 2, -1, 6, 2, 4, 4, 6, 9, 2, 0, 0, 4, -13, 2, -3, 7, -4, -6, 6, 3, 2, -6, 8, -3, 2, 0, 2, 1, -9, 4, 10, -2, -11, 2, -15, -6, -6, 0, 0, -9, 2, 2, 6, 1, -4, -8, -2, -10, 16, 2, 3, 1], 'weight': 2, 'weight_parity': 1}
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label 35131.2.a.e does not appear in mf_hecke_nf
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mf_newspaces • Show schema
Hide schema
{'ALdims': [662, 693, 702, 651], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [21, 22, 22, 22], 'ALdims_old': [94, 104, 97, 106], 'Nk2': 140524, 'analytic_conductor': 280.5224473409601, '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': [35131, 1, [29585, 11097], [1, 1]], 'conrey_index': 1, 'cusp_dim': 3109, 'dim': 2708, 'eis_dim': 87, 'eis_new_dim': 0, 'hecke_orbit_code': 33589563, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 13, 15, 15, 18, 30, 30, 32, 32, 35, 35, 93, 93, 105, 105, 155, 155, 155, 155, 186, 186, 210, 210, 320, 320], 'label': '35131.2.a', 'level': 35131, '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': [19, 43], 'level_radical': 817, 'mf_dim': 3196, 'mf_new_dim': 2708, 'num_forms': 29, 'plus_dim': 1313, 'prim_orbit_index': 1, 'relative_dim': 2708, 'sturm_bound': 6306, 'trace_display': [-1, 2, 3, 1], 'traces': [2708, -1, 2, 2707, 3, 4, 1, 3, 2712, 2, 1, 16, 6, -4, 18, 2681, 9, 19, -2, 0, 2, -4, 4, 36, 2739, 14, 20, 22, -12, -24, -8, -5, 14, 22, -17, 2711, 16, 3, 12, 2, 12, -16, 0, -10, 15, -72, 23, 32, 2715, -63, 30, -2, 22, -20, -1, -80, 2, 50, -10, -8, 3, -16, 21, 2665, 40, -28, 4, -8, 64, 4, -14, 43, 25, -2, 24, -5, -1, -16, -8, 82, 2696, -14, 56, 36, 37, 0, 40, -64, -34, 94, 52, 32, 52, -40, 7, 48, 42, 75, 69, 2767, 20, 48, 42, 22, 6, -26, -54, 84, -14, 56, 40, 44, -20, 4, 36, -50, 74, 16, -35, -12, 2703, 6, -40, -80, -9, -96, 2, -25, 0, -68, -29, 80, -3, 4, -36, -38, 21, -84, -23, 54, 38, -132, -72, 2669, 30, 6, 12, 62, 37, 84, 18, 3, -31, 24, 12, 0, 28, -56, -60, -62, -80, 3, -44, 18, -18, -20, -46, -136, 2752, -32, -14, 0, -28, -124, 24, -52, -8, 10, -22, -20, -52, -16, -70, -108, -26, -72, 13, 26, 0, -18, 33, 152, 30, -2, -180, 2741, -24, -164, 33, 73, 20, 62, -78, 44, -10, 56, -116, 26, -15, 56, 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-188, -612, 134, 108, 178, 70, -44, -4, 18, -22, 36, -72, -282, -220, 2820, 138, -108, 232, 97, -160, 290, -246, -178, 626, 196, -164, -60, 172, 71, -136, -260, -156, -59, 0, -244, -120, 162, 280, 298, 146, -68, 40, -28, -16, 88, -46, -26, -20, 41, -272, 20, -116, -160, 496, -59, 599, -71, -268, -32, 188, 290, -596, 150, 256, 185, 220, -21, 164, -98, -228, 188, -46, 52, 2723, 236, 112, 0, -178, -182, -556, 184, 68, -152, 240, 170, 16, 120, -78, 110, 108, 37, 176, -8, 344, 276, 142, -68, -180, 354, -320, -46, 370, 16, 120, 13, -156, -434, -88, 39, 166, 129, -600, -28, -330, -232, 204, -132, 100, -256, 0, 16, -356, 164, 1, -180, 372, 46, -118, 19, -74, 0, -120, -59, -824, 2624, -308, 62, 158, -56, 208, 36, 231, 38, -84, 28, -40, 59, 332, -24, -398, -186, -48, -164, -286, -58, -140, -20, -172, -114, 260, -134, -46, 0, 168, -62, 72, -280, -284, -5, -176, -79, 48, -292, -388], 'weight': 2, 'weight_parity': 1}
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source_label 35131.2.a.e does not appear in mf_twists_nf
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hecke_orbit_code 18014398543071547 does not appear in mf_hecke_charpolys
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label 35131.2.a.e does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 131614642
{'hecke_orbit_code': 18014398543071547, 'n': 1, 'trace_an': 1}
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id: 131614643
{'hecke_orbit_code': 18014398543071547, 'n': 2, 'trace_an': 1}
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id: 131614644
{'hecke_orbit_code': 18014398543071547, 'n': 3, 'trace_an': -2}
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id: 131614645
{'hecke_orbit_code': 18014398543071547, 'n': 4, 'trace_an': -1}
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id: 131614646
{'hecke_orbit_code': 18014398543071547, 'n': 5, 'trace_an': 2}
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id: 131614647
{'hecke_orbit_code': 18014398543071547, 'n': 6, 'trace_an': -2}
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id: 131614648
{'hecke_orbit_code': 18014398543071547, 'n': 7, 'trace_an': -3}
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id: 131614649
{'hecke_orbit_code': 18014398543071547, 'n': 8, 'trace_an': -3}
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id: 131614650
{'hecke_orbit_code': 18014398543071547, 'n': 9, 'trace_an': 1}
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id: 131614651
{'hecke_orbit_code': 18014398543071547, 'n': 10, 'trace_an': 2}
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id: 131614652
{'hecke_orbit_code': 18014398543071547, 'n': 11, 'trace_an': 3}
-
id: 131614653
{'hecke_orbit_code': 18014398543071547, 'n': 12, 'trace_an': 2}
-
id: 131614654
{'hecke_orbit_code': 18014398543071547, 'n': 13, 'trace_an': -2}
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id: 131614655
{'hecke_orbit_code': 18014398543071547, 'n': 14, 'trace_an': -3}
-
id: 131614656
{'hecke_orbit_code': 18014398543071547, 'n': 15, 'trace_an': -4}
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id: 131614657
{'hecke_orbit_code': 18014398543071547, 'n': 16, 'trace_an': -1}
-
id: 131614658
{'hecke_orbit_code': 18014398543071547, 'n': 17, 'trace_an': -3}
-
id: 131614659
{'hecke_orbit_code': 18014398543071547, 'n': 18, 'trace_an': 1}
-
id: 131614660
{'hecke_orbit_code': 18014398543071547, 'n': 19, 'trace_an': -1}
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id: 131614661
{'hecke_orbit_code': 18014398543071547, 'n': 20, 'trace_an': -2}
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id: 131614662
{'hecke_orbit_code': 18014398543071547, 'n': 21, 'trace_an': 6}
-
id: 131614663
{'hecke_orbit_code': 18014398543071547, 'n': 22, 'trace_an': 3}
-
id: 131614664
{'hecke_orbit_code': 18014398543071547, 'n': 23, 'trace_an': -1}
-
id: 131614665
{'hecke_orbit_code': 18014398543071547, 'n': 24, 'trace_an': 6}
-
id: 131614666
{'hecke_orbit_code': 18014398543071547, 'n': 25, 'trace_an': -1}
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id: 131614667
{'hecke_orbit_code': 18014398543071547, 'n': 26, 'trace_an': -2}
-
id: 131614668
{'hecke_orbit_code': 18014398543071547, 'n': 27, 'trace_an': 4}
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id: 131614669
{'hecke_orbit_code': 18014398543071547, 'n': 28, 'trace_an': 3}
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id: 131614670
{'hecke_orbit_code': 18014398543071547, 'n': 29, 'trace_an': 0}
-
id: 131614671
{'hecke_orbit_code': 18014398543071547, 'n': 30, 'trace_an': -4}
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id: 131614672
{'hecke_orbit_code': 18014398543071547, 'n': 31, 'trace_an': 2}
-
id: 131614673
{'hecke_orbit_code': 18014398543071547, 'n': 32, 'trace_an': 5}
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id: 131614674
{'hecke_orbit_code': 18014398543071547, 'n': 33, 'trace_an': -6}
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id: 131614675
{'hecke_orbit_code': 18014398543071547, 'n': 34, 'trace_an': -3}
-
id: 131614676
{'hecke_orbit_code': 18014398543071547, 'n': 35, 'trace_an': -6}
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id: 131614677
{'hecke_orbit_code': 18014398543071547, 'n': 36, 'trace_an': -1}
-
id: 131614678
{'hecke_orbit_code': 18014398543071547, 'n': 37, 'trace_an': 0}
-
id: 131614679
{'hecke_orbit_code': 18014398543071547, 'n': 38, 'trace_an': -1}
-
id: 131614680
{'hecke_orbit_code': 18014398543071547, 'n': 39, 'trace_an': 4}
-
id: 131614681
{'hecke_orbit_code': 18014398543071547, 'n': 40, 'trace_an': -6}
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id: 131614682
{'hecke_orbit_code': 18014398543071547, 'n': 41, 'trace_an': 2}
-
id: 131614683
{'hecke_orbit_code': 18014398543071547, 'n': 42, 'trace_an': 6}
-
id: 131614684
{'hecke_orbit_code': 18014398543071547, 'n': 43, 'trace_an': 0}
-
id: 131614685
{'hecke_orbit_code': 18014398543071547, 'n': 44, 'trace_an': -3}
-
id: 131614686
{'hecke_orbit_code': 18014398543071547, 'n': 45, 'trace_an': 2}
-
id: 131614687
{'hecke_orbit_code': 18014398543071547, 'n': 46, 'trace_an': -1}
-
id: 131614688
{'hecke_orbit_code': 18014398543071547, 'n': 47, 'trace_an': -8}
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id: 131614689
{'hecke_orbit_code': 18014398543071547, 'n': 48, 'trace_an': 2}
-
id: 131614690
{'hecke_orbit_code': 18014398543071547, 'n': 49, 'trace_an': 2}
-
id: 131614691
{'hecke_orbit_code': 18014398543071547, 'n': 50, 'trace_an': -1}
-
id: 131614692
{'hecke_orbit_code': 18014398543071547, 'n': 51, 'trace_an': 6}
-
id: 131614693
{'hecke_orbit_code': 18014398543071547, 'n': 52, 'trace_an': 2}
-
id: 131614694
{'hecke_orbit_code': 18014398543071547, 'n': 53, 'trace_an': 4}
-
id: 131614695
{'hecke_orbit_code': 18014398543071547, 'n': 54, 'trace_an': 4}
-
id: 131614696
{'hecke_orbit_code': 18014398543071547, 'n': 55, 'trace_an': 6}
-
id: 131614697
{'hecke_orbit_code': 18014398543071547, 'n': 56, 'trace_an': 9}
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id: 131614698
{'hecke_orbit_code': 18014398543071547, 'n': 57, 'trace_an': 2}
-
id: 131614699
{'hecke_orbit_code': 18014398543071547, 'n': 58, 'trace_an': 0}
-
id: 131614700
{'hecke_orbit_code': 18014398543071547, 'n': 59, 'trace_an': 0}
-
id: 131614701
{'hecke_orbit_code': 18014398543071547, 'n': 60, 'trace_an': 4}
-
id: 131614702
{'hecke_orbit_code': 18014398543071547, 'n': 61, 'trace_an': -13}
-
id: 131614703
{'hecke_orbit_code': 18014398543071547, 'n': 62, 'trace_an': 2}
-
id: 131614704
{'hecke_orbit_code': 18014398543071547, 'n': 63, 'trace_an': -3}
-
id: 131614705
{'hecke_orbit_code': 18014398543071547, 'n': 64, 'trace_an': 7}
-
id: 131614706
{'hecke_orbit_code': 18014398543071547, 'n': 65, 'trace_an': -4}
-
id: 131614707
{'hecke_orbit_code': 18014398543071547, 'n': 66, 'trace_an': -6}
-
id: 131614708
{'hecke_orbit_code': 18014398543071547, 'n': 67, 'trace_an': 6}
-
id: 131614709
{'hecke_orbit_code': 18014398543071547, 'n': 68, 'trace_an': 3}
-
id: 131614710
{'hecke_orbit_code': 18014398543071547, 'n': 69, 'trace_an': 2}
-
id: 131614711
{'hecke_orbit_code': 18014398543071547, 'n': 70, 'trace_an': -6}
-
id: 131614712
{'hecke_orbit_code': 18014398543071547, 'n': 71, 'trace_an': 8}
-
id: 131614713
{'hecke_orbit_code': 18014398543071547, 'n': 72, 'trace_an': -3}
-
id: 131614714
{'hecke_orbit_code': 18014398543071547, 'n': 73, 'trace_an': 2}
-
id: 131614715
{'hecke_orbit_code': 18014398543071547, 'n': 74, 'trace_an': 0}
-
id: 131614716
{'hecke_orbit_code': 18014398543071547, 'n': 75, 'trace_an': 2}
-
id: 131614717
{'hecke_orbit_code': 18014398543071547, 'n': 76, 'trace_an': 1}
-
id: 131614718
{'hecke_orbit_code': 18014398543071547, 'n': 77, 'trace_an': -9}
-
id: 131614719
{'hecke_orbit_code': 18014398543071547, 'n': 78, 'trace_an': 4}
-
id: 131614720
{'hecke_orbit_code': 18014398543071547, 'n': 79, 'trace_an': 10}
-
id: 131614721
{'hecke_orbit_code': 18014398543071547, 'n': 80, 'trace_an': -2}
-
id: 131614722
{'hecke_orbit_code': 18014398543071547, 'n': 81, 'trace_an': -11}
-
id: 131614723
{'hecke_orbit_code': 18014398543071547, 'n': 82, 'trace_an': 2}
-
id: 131614724
{'hecke_orbit_code': 18014398543071547, 'n': 83, 'trace_an': -15}
-
id: 131614725
{'hecke_orbit_code': 18014398543071547, 'n': 84, 'trace_an': -6}
-
id: 131614726
{'hecke_orbit_code': 18014398543071547, 'n': 85, 'trace_an': -6}
-
id: 131614727
{'hecke_orbit_code': 18014398543071547, 'n': 86, 'trace_an': 0}
-
id: 131614728
{'hecke_orbit_code': 18014398543071547, 'n': 87, 'trace_an': 0}
-
id: 131614729
{'hecke_orbit_code': 18014398543071547, 'n': 88, 'trace_an': -9}
-
id: 131614730
{'hecke_orbit_code': 18014398543071547, 'n': 89, 'trace_an': 2}
-
id: 131614731
{'hecke_orbit_code': 18014398543071547, 'n': 90, 'trace_an': 2}
-
id: 131614732
{'hecke_orbit_code': 18014398543071547, 'n': 91, 'trace_an': 6}
-
id: 131614733
{'hecke_orbit_code': 18014398543071547, 'n': 92, 'trace_an': 1}
-
id: 131614734
{'hecke_orbit_code': 18014398543071547, 'n': 93, 'trace_an': -4}
-
id: 131614735
{'hecke_orbit_code': 18014398543071547, 'n': 94, 'trace_an': -8}
-
id: 131614736
{'hecke_orbit_code': 18014398543071547, 'n': 95, 'trace_an': -2}
-
id: 131614737
{'hecke_orbit_code': 18014398543071547, 'n': 96, 'trace_an': -10}
-
id: 131614738
{'hecke_orbit_code': 18014398543071547, 'n': 97, 'trace_an': 16}
-
id: 131614739
{'hecke_orbit_code': 18014398543071547, 'n': 98, 'trace_an': 2}
-
id: 131614740
{'hecke_orbit_code': 18014398543071547, 'n': 99, 'trace_an': 3}
-
id: 131614741
{'hecke_orbit_code': 18014398543071547, 'n': 100, 'trace_an': 1}