# Stored data for newform 990.2.t.b, downloaded from the LMFDB on 21 September 2025. {"Nk2": 3960, "analytic_conductor": 7.905189800106758, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 99, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 20, "char_orbit_label": "t", "char_order": 6, "char_parity": 1, "char_values": [990, 6, [551, 397, 541], [5, 6, 3]], "cm_discs": [], "conrey_index": 131, "dim": 48, "has_non_self_twist": 1, "hecke_cutters": [[7, [406829660224, 12345746074272, 133010594380824, 246663702609156, -3168551509355991, -5600264838996582, 80979490559238575, -253895396526364818, 385991284613573625, -244296580949879418, -118031594332185414, 282219105958830450, -30722003962920378, -282411502261792158, 250406729995009599, 8247720594599370, -127940107817575476, 47418801417829374, 36125504474087750, -28903878236778750, -3988162221997041, 9391384988638560, -748572259410948, -2156577673283760, 475058613118080, 371621795327130, -124229155082955, -50474144960838, 22411151977725, 5470306218834, -3071672653222, -480120056154, 334566505608, 33927888654, -29362610193, -1924689618, 2094045707, 85139784, -120526773, -2852568, 5549916, 65058, -198414, -870, 5316, 0, -96, 0, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4504905330983902, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 99, 7, 1, 6, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "990.2.t.b", "level": 990, "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, 5, 11], "level_radical": 330, "minimal_twist": "990.2.t.a", "prim_orbit_index": 7, "related_objects": [], "relative_dim": 24, "rm_discs": [], "sato_tate_group": "1.2.3.c6", "self_twist_discs": [], "self_twist_type": 0, "space_label": "990.2.t", "trace_display": [24, -2, 0, 0], "traces": [48, 24, -2, -24, 0, 2, 0, -48, 10, 0, -12, 4, -24, 0, -4, -24, 12, 8, 0, 0, 16, -6, 36, 2, 24, 0, -8, 0, 0, -8, 0, 24, 12, 6, 0, -2, 0, -6, 40, 0, 6, 8, -30, 6, 0, 0, 0, -2, 24, -24, -22, 24, 0, -22, 0, 0, -40, 0, -54, -4, 0, 0, 38, 48, 0, -12, -6, -6, 76, 0, 0, -10, 0, 0, 2, -6, -18, 32, 0, 0, 10, 12, -36, -8, 0, -30, 44, 12, 0, 0, 24, -36, -68, 0, 0, -4, 6, 48, -44, -48, -24, -26, 0, 24, 12, -24, 12, -14, 0, 0, 54, 0, -84, -20, 0, 0, 72, 0, 42, 4, -60, 0, 64, 0, 0, 4, 0, 24, -62, 0, -36, -24, 0, -12, -8, -12, 42, 68, 66, 0, -40, -36, -12, -8, 0, 24, 68, 0, -12, 4, -84, 0, 4, -24, -48, -8, 24, 0, -6, 0, -72, 26, 72, 6, 10, 36, 12, -16, 12, 0, -182, 0, 12, 22, 0, 6, -88, 60, 0, 0, 0, 12, -42, -36, 0, -76, 138, 0, 68, 0, 0, -2, 66, -6, 20, 24, 0, 2, -72, -24, -128, 24, -60, -4, 0, 0, 16, 0, -54, 6, -180, -24, -20, 6, 0, 8, 0, 72, 130, 0, -12, -6, 0, 0, 8, 0, -6, 20, -36, 0, 24, 0, -12, 12, 24, 54, 176, 42, 0, 8, 54, -18, 18, 0, 72, 14, 36, 0, 12, 0, 0, -34, 60, 18, -6, -24, 114, -28, -84, 0, 100, -72, -12, -12, 0, 0, -72, -6, 0, 2, 0, -6, -40, 42, -6, -8, 96, 0, -48, 0, 60, 16, 24, -36, -72, 36, 0, 2, -12, -24, 14, 24, 12, 46, -12, 0, 34, -24, 0, 2, 12, -84, -32, 6, -48, -28, 0, -6, 48, -48, 60, -40, -30, 48, -92, 0, -144, -12, 6, 0, -2, -36, 0, 16, 0, 36, -36, -6, 60, 20, -60, 72, 16, 24, -18, -8, 18, -12, -108, 0, 0, -100, 0, 30, 24, -12, 30, -22, 168, 0, 60, -6, -270, -62, 0, 60, 232, -12, 48, 0, -60, 0, 78, -12, 0, 66, -24, 0, 38, 0, -24, -8, 60, 72, -8, 0, 0, 112, 12, 0, -48, 0, -60, 2, -42, 0, 12, -12, 156, -20, 168, -24, -8, 0, 0, 46, 24, -36, -246, 24, -90, -58, -60, 48, -32, 0, 132, 22, -78, 0, 82, 0, -120, -40, 0, -24, 20, -96, 156, -6, 12, 0, 168, 0, 6, -64, 36, -6, 16, 0, 48, 22, -36, -96, -36, 72, -48, 2, -276, 0, 48, 0, 138, -60, -24, 0, -172, 0, 0, -2, -30, 84, -140, 6, 108, 40, -102, -72, -12, 0, -12, -78, 0, 0, -62, -6, 0, -60, 0, 12, -130, 54, 12, 64, -6, 0, -208, 0, -48, 4, 84, 54, 64, 42, 0, 36, 48, 0, 56, 72, -30, -50, 24, 72, 22, 0, 66, 84, -6, 0, 56, 78, -132, -38, 0, -114, 66, 18, -24, 6, 96, -48, 104, 0, 0, 34, -174, -84, 36, 0, 0, 80, 0, -36, 8, 12, 102, 12, -12, 0, 70, 0, -84, -24, 0, 6, 184, -84, 42, 10, 0, 120, 84, 6, -18, 16, 54, 0, -244, 6, -114, -76, 48, 96, 36, -66, 144, -18, -120, 0, -232, -60, -6, 56, 0, 0, -106, 0, -90, 12, -138, 48, -196, 72, 0, 10, -60, -6, 176, -24, 240, 100, 288, 0, 96, 24, -210, -22, 276, 12, -48, 0, -36, 122, 48, -12, 96, 0, -84, -2, -150, 24, 22, 0, 12, 212, -60, 6, -166, -24, -144, -32, 0, 198, 148, 18, 90, 60, -30, 0, -192, 0, 66, -32, -24, 30, -260, 24, 120, -40, -48, 0, 286, -144, 0, -6, -348, 24, 40, 0, 102, -70, -66, 36, 100, -6, 0, -10, 78, 24, -140, -36, -156, 24, -96, -12, 22, 120, 60, 10, 12, 60, 248, 36, 0, -100, 0, 12, 0, -18, 18, 8, 96, 0, -22, -24, 24, 12, -492, 0, -238, 48, 0, 82, -48, -162, 48, 30, -168, 48, 36, -24, -252, 60, -18, -44, -42, 168, -218, 0, 288, -180, 0, -12, 8, -270, -216, 26, -120, 0, -64, 0, 204, 104, 132, -12, 224, 24, 0, 0, 0, -30, -42, 0, 0, 24, 48, -24, -50, 0, 258, 108, 228, 24, 122, 36, -102, -62, 0, 0, 132, 24, -60, 68, 120, 0, -160, -66, -60, -4, -96, 0, 2, -132, -24, 44, 48, 6, -66, 0, 120, -60, -36, 0, 88, 0, 36, 4, 276, -54, 116, -66, 0, 102, 0, -6, 78, 156, 6, -40, 36, 0, 184, -48, -84, -70, 120, 0, 216, 0, 456, 44, -96, 12, 24, 36, -120, -42, 300, 48, 138, 0, 150, 70, -48, -60, 260, 24, -12, -64, 0, 60, -20, 132, 48, 26, 30, 0, 128, 0, -120, -16, -108, 0, -12, -60, 0, -56, 96, -72, 144, -24, 168, -74, 48, -42, 204, 0, -240, -12, 36, -12, -52, 180, 0, 36, -12, 24, -228, -6, -192, -44, -156, 72, -18, -12, -144, -136, -18, 0, -160, 24, 0, 14, 0, -18, -120, -96, 96, -12, 336, 0, 212, -96, 0, -128, -84, -276, -68, 0, 0, 78, -84, 12, -88, 138, 30, -54, -12, -48, 52, 0, -72, -62, -60, 0, -188, -24, -24, -10, 0, -72, -76, 84, -120, -88, -102, 12, -440, 0, -12, 20, -138, -102, -124, -36, 0, 150, 0, 0, 14, 12, 48, -102, 0, 0, 172, 0, -120, -22, 330, 6, -108, -210, 12, -72, 0, -168, 50, -12, 72, -182, -264, 0, -36, -54, 18, -112, -36, -6, -122, -42, -444, -44, 0, 0, -90, 48, 156, -4, -48, 0, -310, 0, 0, 44, 48, 60, 104, 72, 0, 18, 0, 24, 32, 0, 426, 70, -150, 0, 172, -60, 96, -64, 120, -24, 40, 36, -72, 50, 180, 0, -12, -66, 48, 72, 324, -12, 344, 0], "weight": 2, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "field_poly_is_cyclotomic": null, "field_poly_is_real_cyclotomic": null, "field_poly_root_of_unity": null, "fricke_eigenval": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "is_polredabs": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}