# Stored data for newform 1008.2.q.k, downloaded from the LMFDB on 15 November 2024.
{"Nk2": 4032, "analytic_conductor": 8.048920523745062, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 63, "char_degree": 2, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 17, "char_orbit_label": "q", "char_order": 3, "char_parity": 1, "char_values": [1008, 3, [127, 757, 785, 577], [3, 3, 2, 2]], "cm_discs": [], "conrey_index": 529, "dim": 22, "has_non_self_twist": 1, "hecke_cutters": [[5, [217156, 104850, 1635025, -1585160, 10103800, -4598906, 9429713, -3399116, 5498120, -1723919, 1986059, -528578, 506960, -119204, 86483, -16508, 10217, -1652, 790, -86, 37, -3, 1]], [11, [282643344, 151308, 615218409, -442989306, 1078803027, -583028280, 653894554, -220525608, 222437692, -57382554, 51525766, -8785278, 7902568, -1171227, 822058, -96357, 57877, -6138, 2605, -165, 64, -3, 1]]], "hecke_orbit": 11, "hecke_orbit_code": 45037095818888176, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 63, 8, 1, 3, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "1008.2.q.k", "level": 1008, "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], "level_radical": 42, "minimal_twist": "504.2.q.d", "prim_orbit_index": 8, "related_objects": [], "relative_dim": 11, "rm_discs": [], "sato_tate_group": "1.2.3.c3", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1008.2.q", "trace_display": [0, -2, 3, 5], "traces": [22, 0, -2, 0, 3, 0, 5, 0, 10, 0, 3, 0, -3, 0, 1, 0, 7, 0, 1, 0, 0, 0, -2, 0, -10, 0, 4, 0, 9, 0, -8, 0, 29, 0, -14, 0, 2, 0, 16, 0, 16, 0, 0, 0, 1, 0, 10, 0, 15, 0, -7, 0, 11, 0, -22, 0, 7, 0, -38, 0, 26, 0, -48, 0, -26, 0, 52, 0, -4, 0, 48, 0, -35, 0, 23, 0, 17, 0, 20, 0, -38, 0, 28, 0, -20, 0, 33, 0, 6, 0, 37, 0, 19, 0, 24, 0, -29, 0, 56, 0, 1, 0, 21, 0, -21, 0, 12, 0, 27, 0, 33, 0, -8, 0, 28, 0, 22, 0, -15, 0, 2, 0, -33, 0, 12, 0, -58, 0, -19, 0, 22, 0, 2, 0, 58, 0, 12, 0, -2, 0, 21, 0, 11, 0, -36, 0, 5, 0, -11, 0, 8, 0, -34, 0, -21, 0, 26, 0, -122, 0, -45, 0, -48, 0, 20, 0, 22, 0, -60, 0, -44, 0, -6, 0, -86, 0, -67, 0, 2, 0, 62, 0, -95, 0, -110, 0, -130, 0, 18, 0, -28, 0, -12, 0, -8, 0, 48, 0, 1, 0, -107, 0, -78, 0, -64, 0, 44, 0, -18, 0, 88, 0, 1, 0, -13, 0, -109, 0, 16, 0, 28, 0, 10, 0, -61, 0, 31, 0, -17, 0, 48, 0, 27, 0, -46, 0, 44, 0, -11, 0, -34, 0, -2, 0, 53, 0, -48, 0, -14, 0, -28, 0, 104, 0, -85, 0, -7, 0, 11, 0, 18, 0, 1, 0, -13, 0, -69, 0, 54, 0, 47, 0, 39, 0, 6, 0, 16, 0, -41, 0, 1, 0, -162, 0, 130, 0, -80, 0, 18, 0, 80, 0, 36, 0, 88, 0, 56, 0, -68, 0, 125, 0, -30, 0, 8, 0, -2, 0, 101, 0, -40, 0, 188, 0, -234, 0, -72, 0, 66, 0, 24, 0, 16, 0, -57, 0, 196, 0, -65, 0, 100, 0, -60, 0, -21, 0, -38, 0, 177, 0, -33, 0, 56, 0, 56, 0, -18, 0, -3, 0, 145, 0, 69, 0, 88, 0, -57, 0, 24, 0, 30, 0, 11, 0, -30, 0, 38, 0, -3, 0, 69, 0, 57, 0, -114, 0, -108, 0, -50, 0, -85, 0, 21, 0, -17, 0, 80, 0, -5, 0, 38, 0, 79, 0, 123, 0, -75, 0, 153, 0, 57, 0, -54, 0, -122, 0, -37, 0, 116, 0, -84, 0, -78, 0, -36, 0, -30, 0, 29, 0, -108, 0, -177, 0, 62, 0, -120, 0, -172, 0, 27, 0, 58, 0, -192, 0, -188, 0, -216, 0, 92, 0, 20, 0, -126, 0, 44, 0, -32, 0, 100, 0, -182, 0, 44, 0, -90, 0, 146, 0, 26, 0, 61, 0, -5, 0, 19, 0, -160, 0, -140, 0, 70, 0, 47, 0, -152, 0, 101, 0, -119, 0, 150, 0, 106, 0, -72, 0, 60, 0, -9, 0, -54, 0, 29, 0, 82, 0, -25, 0, 90, 0, -146, 0, 260, 0, -72, 0, 50, 0, 131, 0, 193, 0, -76, 0, -53, 0, 48, 0, 73, 0, 92, 0, 87, 0, 112, 0, 51, 0, -10, 0, 8, 0, -198, 0, 60, 0, -14, 0, 13, 0, 117, 0, 67, 0, 122, 0, 70, 0, 216, 0, 115, 0, -75, 0, -39, 0, 8, 0, 97, 0, -174, 0, 362, 0, -177, 0, -36, 0, 166, 0, 27, 0, 146, 0, -96, 0, 215, 0, -106, 0, 34, 0, -68, 0, 94, 0, -89, 0, 294, 0, -5, 0, 135, 0, 119, 0, -102, 0, 18, 0, 256, 0, 168, 0, 187, 0, -66, 0, 83, 0, 40, 0, 105, 0, -46, 0, 92, 0, 26, 0, 129, 0, 59, 0, -127, 0, -78, 0, -92, 0, -19, 0, 78, 0, -82, 0, 127, 0, -13, 0, -23, 0, 38, 0, -63, 0, -112, 0, 159, 0, 80, 0, -75, 0, -101, 0, 27, 0, 110, 0, -340, 0, -86, 0, -54, 0, 125, 0, 28, 0, -29, 0, -193, 0, -154, 0, -96, 0, -186, 0, -128, 0, 60, 0, -293, 0, -22, 0, -294, 0, 54, 0, -340, 0, -90, 0, -80, 0, 222, 0, 68, 0, -285, 0, -86, 0, 16, 0, -34, 0, 130, 0, 156, 0, -29, 0, -66, 0, -145, 0, -84, 0, 246, 0, -71, 0, -122, 0, 146, 0, -232, 0, 179, 0, 0, 0, -96, 0, 208, 0, -129, 0, -125, 0, -83, 0, 48, 0, -44, 0, 55, 0, -76, 0, 258, 0, -287, 0, -11, 0, -113, 0, 152, 0, 7, 0, -37, 0, -28, 0, 31, 0, 200, 0, -6, 0, -26, 0, 26, 0, 6, 0, -70, 0, -198, 0, 131, 0, -185, 0, 71, 0, 40, 0, -13, 0, 132, 0, 144, 0, -120, 0, 192, 0, -7, 0, -46, 0, -196, 0, -5, 0, 6, 0, 210, 0, -456, 0, -392, 0, -46, 0, -14, 0, -32, 0, -84, 0, 322, 0, 83, 0, 44, 0, -149, 0, 12, 0, -62, 0, 290, 0, 15, 0, 217, 0, 76, 0, 246, 0, -19, 0, 220, 0, 45, 0, 65, 0, -219, 0, 47, 0, 123, 0, 38, 0, -93, 0, 114, 0, 182, 0, 9, 0, -6, 0, -165, 0, -62, 0, -180, 0, -163, 0, -8, 0, -77, 0, 272, 0, 49, 0, 43, 0, 50, 0, 162, 0, -134, 0, 81, 0, -23, 0, -30, 0, -168, 0, -101, 0, 120, 0, -179, 0, -232, 0, -45, 0, 87, 0, 64, 0, -149, 0, -100, 0, -12, 0, -87, 0, -222, 0, -34, 0, 98, 0, -363, 0, -222, 0, -204, 0, 39, 0, -218, 0, -234, 0, 18, 0, -6, 0, 118, 0, -276, 0, 114, 0, 18, 0, 189, 0, 11, 0, 97, 0, 11, 0, 132, 0, -203, 0, -157, 0, -14, 0, -33, 0, -209, 0, 18, 0, -141, 0, 210, 0, 56, 0, -69, 0, 205, 0, -17, 0, -74, 0, -72, 0, 181, 0, -61, 0, 85, 0, -112, 0, 212, 0, -81, 0, -49, 0, -9, 0, 156, 0, -90, 0, -91, 0, -55, 0, 224, 0, 204, 0, -12, 0, 14, 0, 114, 0, 38, 0, -113, 0, -270, 0, 246, 0, -135, 0, 107, 0, 84, 0, 94, 0, 123, 0, 154, 0, 112, 0, 231, 0, 5, 0, -70, 0, -146, 0, 169, 0, -502, 0, 248, 0, -204, 0, -156, 0, 288, 0, -165, 0, 66, 0, -93, 0, 66, 0, 82, 0, 192, 0, -151, 0, 92, 0, -134, 0, 499, 0, 99, 0, 282, 0, 29, 0, -64, 0, -98, 0, 330, 0, 108, 0, 181, 0, -24, 0, 79, 0, 14, 0, 47, 0, -59, 0, 76, 0, 135, 0, 269, 0, 19, 0, -258, 0, -320, 0, -268, 0, -167, 0, 43, 0, -54, 0, 140, 0, -102, 0, 71, 0, -150, 0, 278, 0, -210, 0, 348, 0, 162, 0, -169, 0, -193, 0, 16, 0, 250, 0, -356, 0, -86, 0, -22, 0, -50, 0, 212, 0, -132, 0, -338, 0, -148, 0, -156, 0, -196, 0, 0, 0, -306, 0, -145, 0, -212, 0, -450, 0, 24, 0, -148, 0, -54, 0, 66, 0, -62, 0, 109, 0, -488, 0, -93, 0, -226, 0, 7, 0, 128, 0, 88, 0, -36, 0, -66, 0, -219, 0, -147, 0, -132, 0, 25, 0, -162, 0, 340, 0, -164, 0, 213, 0, 160, 0, 25, 0, 262, 0, -120, 0, -40, 0, -78, 0, 227, 0, -43, 0, 33, 0, -280, 0, 226, 0, -334, 0, 56, 0, -49, 0, 162, 0, -83, 0, 19, 0, -146, 0, 86, 0, 215, 0, 177, 0, 242, 0, 42, 0, -166, 0, 34, 0, -104, 0, 229, 0, -119, 0, -32, 0, 46, 0, 144, 0, 60, 0, 93, 0, -268, 0, 402, 0, -31, 0, 20, 0, 142, 0, 75, 0, -64, 0, 380, 0, -421, 0, -80, 0, 56, 0, 133, 0, 78, 0, -78, 0, 513, 0, -61, 0, 122, 0, 32, 0, 119, 0, -148, 0, 436, 0, 96, 0, 137, 0, 42, 0, 248, 0, 5, 0, 118, 0, 254, 0, 162, 0, -60, 0, 240, 0, 121, 0, 101, 0, -202, 0, 21, 0, 59, 0, 33, 0, 146, 0, -233, 0, -66, 0, -530, 0, -152, 0, -51, 0, 129, 0, 391, 0, -90, 0, -116, 0, 144, 0, 31, 0, -107, 0, 48, 0, 95, 0, 61, 0, -5, 0, -101, 0, 130, 0, -83, 0, 123, 0, -100, 0, -7, 0, -2, 0, -71, 0, 43, 0, 156, 0, -262, 0, -197, 0, 23, 0, 222, 0, -366, 0, 92, 0, -380, 0, 132, 0, -346, 0, -56, 0, -73, 0, 250, 0, 64, 0, -148, 0, 251, 0, -72, 0, 189, 0, 230, 0, 142, 0, 78, 0, 179, 0, -168, 0, -156, 0, 340, 0, 121, 0, -106, 0, 34, 0, -142, 0, 156, 0, 126, 0, -149, 0, 147, 0, 20, 0, -79, 0, 111, 0, -68, 0, 30, 0, -9, 0, 0, 0, 282, 0, -177, 0, 115, 0, 93, 0, 312, 0, 83, 0, 55, 0, 66, 0, 13, 0, 118, 0, 216, 0, 107, 0, 132, 0, 34, 0, 22, 0, -72, 0, 194, 0, -48, 0, -60, 0, 63, 0, 60, 0, 85, 0, 84, 0, 44, 0, 165, 0, -136, 0, -86, 0, -240, 0, -121, 0, -158, 0, 240, 0, -279, 0, -422, 0, -22, 0, 77, 0, 404, 0, -150, 0, -13, 0, -8, 0, 146, 0, -49, 0, 150, 0, -109, 0, 495, 0, 30, 0, 104, 0, 165, 0, 138, 0, -27, 0, 444, 0, -51, 0, 100, 0, -35, 0, -51, 0, 54, 0, 66, 0, -117, 0, 189, 0, 48, 0, -50, 0, 64, 0, -203, 0, -38, 0, -118, 0, -251, 0, 32, 0, 143, 0, 217, 0, -130, 0, 54, 0, 54, 0, 168, 0, -109, 0, 375, 0, 4, 0, -43, 0, -282, 0, 27, 0, 484, 0, -335, 0, -454, 0, -31, 0, 71, 0, 34, 0, -147, 0, -311, 0, -190, 0, -91, 0, -199, 0, -129, 0, 232, 0, -288, 0, -392, 0, -36, 0, 111, 0, -366, 0, -190, 0, -116, 0, 338, 0, 84, 0, -225, 0, -107, 0, -12, 0, 63, 0, -49, 0, 62, 0, 157, 0, -59, 0, -137, 0, -16, 0, 170, 0, 195, 0, -229, 0, 16, 0, -65, 0, 249, 0, 30, 0, -79, 0, 317, 0, -166, 0, -192, 0, -74, 0, 153, 0, -79, 0, 17, 0, -254, 0, 152, 0, -449, 0, -54, 0, -57, 0, 21, 0, -78, 0, -130, 0, -215, 0, 405, 0, 184, 0, -21, 0, 104, 0, 150, 0, -211, 0, -249, 0, -96, 0, 141, 0, -440, 0, 40, 0, 61, 0, 216, 0, 149, 0, 34, 0, -608, 0, 20, 0, 20, 0, -136, 0, 102, 0, -62, 0, -416, 0, 194, 0, -423, 0, 64, 0, 320, 0, -279, 0, -354, 0, -47, 0, 452, 0, 84, 0, 16, 0, -147, 0, 11, 0, -207, 0, 456, 0, 19, 0, 81, 0, -73, 0, 330, 0, -112, 0, 164, 0, 173, 0, 62, 0, 63, 0, 297, 0, -127, 0, 185, 0, 137, 0, 103, 0, 197, 0, 362, 0, 117, 0, -213, 0, -678, 0, -160, 0, -202, 0, -171, 0, -138, 0, 176, 0, -187, 0, 219, 0, 77, 0, 315, 0, -110, 0, 77, 0, 226, 0, -141, 0, -203, 0, -137, 0, 186, 0, -11, 0, -128, 0, -199, 0, -39, 0, 288, 0, -67, 0, 2, 0, -44, 0, -373, 0, -116, 0, -24, 0, -264, 0, -293, 0, -488, 0, -438, 0, -150, 0, 200, 0, -450, 0, -186, 0, -60, 0, 53, 0, -200, 0, 51, 0, -388, 0, 217, 0, -180, 0, 202, 0, 306, 0, 170, 0, 52, 0, -112, 0, -304, 0, 148, 0, 5, 0, 212, 0, -314, 0, 210, 0, 234, 0, 55, 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}