# Stored data for newform 322.2.i.d, downloaded from the LMFDB on 19 April 2024.
{"label": "322.2.i.d", "space_label": "322.2.i", "level": 322, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13511348671480130, "dim": 40, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [11881, -6322, -30096, 667607, 2804129, 75256237, 396557743, 795971693, 4903027695, 9581112085, 25262819883, 16891422921, 6924848693, 5828458702, 14748911556, 5062761189, 3267090279, 715010185, 2341168522, 536062958, 568203349, 217000376, 80243860, 67687414, 25184933, 8902547, 3342986, -73250, 89706, -51392, 24792, 15964, 3538, 1336, 300, 69, 29, -7, 10, 0, 1]]], "char_order": 11, "char_parity": 1, "char_degree": 10, "char_conductor": 23, "char_orbit_label": "i", "char_is_real": false, "Nk2": 1288, "analytic_conductor": 2.571182945085228, "level_radical": 322, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [322, 11, [185, 281], [11, 9]], "inner_twist_count": 2, "level_primes": [2, 7, 23], "conrey_indexes": [29, 71, 85, 127, 141, 169, 197, 211, 225, 239], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c11", "trace_display": [-4, 0, 9, 4], "traces": [40, -4, 0, -4, 9, 0, 4, -4, -8, -2, 6, 0, 2, 4, -3, -4, -13, -8, -22, -2, 0, -16, -9, 22, -15, -9, 21, 4, -10, -14, -2, -4, 8, -2, 13, -8, -45, 11, -22, 9, 21, 0, 31, 6, 2, -9, 64, 0, -4, 7, 65, 2, 69, 21, -74, 4, -68, 12, 48, -3, 6, -13, 8, -4, -64, -69, 31, -2, -62, 2, -57, -19, 70, -45, -11, 22, -6, 33, 34, -13, 30, -12, -56, 0, -17, 42, -3, 6, 16, 46, -46, 24, 48, 9, -42, 0, -36, -4, 112, -4, -29, -12, -31, -9, 14, -8, 22, -12, 4, -74, -26, 4, 68, -46, -148, 78, -65, -51, 13, -3, -22, -5, -43, 20, -4, -14, 100, -4, -158, 90, -78, 19, 0, -2, 60, -2, -110, 59, 198, 13, -139, 64, -51, -8, 37, 26, 0, 10, -81, 55, 32, 0, 17, 5, -83, 33, 9, -32, 175, -2, -24, 96, 0, -34, 207, -56, 108, 11, -22, 71, 94, -13, 168, -3, 4, 6, 119, 71, 8, -20, 27, 9, -90, -9, 2, 4, -119, -35, 45, -108, 38, 0, -50, 41, -124, -4, 132, -42, 157, -15, -181, -29, 10, -45, 55, 46, -236, 46, -28, 3, -18, -8, 90, -11, -74, -45, 13, -62, 159, -19, -48, 18, -124, 4, 3, -64, -82, -68, -58, 28, -30, 12, -95, 111, -41, -29, 75, -20, 130, -14, -1, -11, -56, -27, -2, 133, -39, 20, -5, -125, 31, -58, 31, 100, -161, -4, 69, -158, -21, 46, -314, 43, -65, -14, -10, -22, -85, -13, 100, 38, -58, -13, 0, 11, -42, 59, 20, 121, 26, -9, -62, -62, 17, -35, 331, 147, -43, 14, -9, -73, -90, 26, -205, 0, 181, -1, 352, -48, 94, 176, 13, -1, 174, 0, 125, 17, -6, 5, -83, -127, 32, -22, -14, 86, 53, -21, 14, -232, 113, -13, 180, 9, 30, 30, -65, 55, -230, -23, 13, -46, -55, -78, -91, -2, 341, 0, -118, 44, -44, 71, -163, -82, 4, -24, -82, 14, 1, -157, 85, 4, 14, -5, -241, 119, 339, -50, 45, -102, -3, 13, 20, -94, 135, -2, -84, 9, -52, 24, 12, -31, 19, -106, 179, -163, 234, 31, -58, 12, -123, 24, 47, -61, -40, -11, -14, -50, 77, -113, 79, 206, -217, 40, 32, 55, 151, -42, 132, -19, -31, -4, -159, -115, -118, 37, -255, 32, -174, 43, 96, -55, 54, -31, -92, 28, -104, -9, 51, -94, -279, 3, 140, -73, -239, 69, 11, -141, 5, -11, -207, 223, -7, -45, 53, 2, 340, -40, 77, 82, -136, 25, -8, -48, -81, 117, -166, 129, -9, 4, 202, -184, -166, -20, -195, -16, 53, 64, -46, -25, -26, 116, 52, 14, -13, -10, 160, 81, -39, 89, -31, 25, -177, -18, 263, 20, 80, 13, -474, 130, 19, -3, 198, 98, -37, 88, 226, 98, 213, -27, 242, -2, -13, 67, 198, -39, 221, -13, 24, 39, 144, 7, 200, 20, 13, -14, -126, 174, -164, 100, -99, -7, 84, -4, 232, 58, -100, 7, 39, -32, 90, -53, 66, 181, -241, 43, 11, -32, 236, 30, -103, -54, -230, -11, -1, -85, 284, -2, -157, 23, -5, 104, -154, 52, -20, 20, -256, 11, 54, -77, -128, -207, 244, -18, -34, 31, 42, -77, -65, -271, 52, 2, 327, 125, 157, -7, -175, 17, -63, -2, 0, 331, 162, -150, 169, -10, 61, 58, -99, 79, -228, -73, -21, 42, -218, -84, -487, 103, 152, -11, 3, -61, 59, 21, -71, -44, -60, -81, -286, -82, -148, 55, 156, -42, -108, 65, -1, 31, -79, 22, -96, -172, 24, -38, 196, 148, -211, 5, -54, -193, -117, -50, 125, 120, 50, 0, -84, -14, 212, 64, 143, -13, 135, -76, -262, -305, 227, -23, 2, -140, 207, 9, -72, 180, -4, -2, -316, -25, -105, -58, -116, 78, 51, 11, -140, 34, -56, 43, 440, 24, -42, 42, -187, -55, 65, -23, -24, -36, -184, 152, 20, -110, -82, 0, -57, 47, -92, -11, 99, 99, -8, -17, 348, 68, -191, -82, 99, 4, -67, -13, 4, -280, -114, 168, 86, -87, 140, 30, 169, 52, -181, 15, 306, -19, -159, -5, -473, 34, 51, 119, 179, -222, -369, 38, -61, 12, -89, -135, 311, -3, -144, -53, 42, 141, -43, -6, 61, -206, -104, 9, -185, 180, -180, 108, 108, 14, 30, -9, -404, -274, -53, -130, -23, 8, 15, 169, -203, -107, 411, -42, 11, 223, 271, -13, 126, -58, -38, -21, 327, 64, -269, 68, 45, -30, -4, -61, 82, -139, 17, 0, 115, -25, 166, -6, 164, 231, -463, 96, 158, 145, -317, -124, -116, 212, 16, -4, 72, 120, 121, 22, 121, 140, -35, 112, 301, -154, 266, 80, 72, 46, -157, -4, -204, 83, -36, -60, -50, 212, -32, -18, 398, -255, 73, 21, -20, -9, 86, -45, 133, -36, 65, -132, 171, 197, 37, 57, 129, 18, -12, 83, 76, 160, 198, 2, 9, -103, -36, 192, 18, 194, -62, -8, -184, 140, 267, 15, -192, -239, 22, -19, -38, 44, -241, 2, 59, -6, -269, -11, -44, 145, 132, -118, -133, 125, 48, -12, 168, -277, -405, 24, 100, -155, 277, -62, 342, -77, -150, 159, -193, 260, -4, 14, -477, -19, -225, -136, 169, -202, 198, -158, -56, 21, 406, 129, -256, -174, -303, -40, 204, -150, 115, -85, -458, -166, -73, 35, -147, 124, -111, 105, -62, -46, 216, 31, -92, 97, -160, 173, -98, -59, -56, 28, -432, -47, 330, -19, 44, -211, 133, -32, 329, 138, -22, 70, -353, -39, 233, -164, -10, -31, 248, -250, 29, -56, 297, 92, -104, 32, 187, 20, 156, -195, 606, -9, -2, -221, -112, 53, 218, 261, 99, -3, 76, -121, 221, -1, 152, -15, -44, -11, 141, -16, -199, 32, 165, -139, -270, -5, 69, 44, 45, 9, -440, 75, 220, 67, 214, -22, 7, -270, 133, -362, -117, -2, 176, 24, -356, 72, -390, -76, 447, -70], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 23, 3, 1, 11, 0]], "char_orbit_index": 9, "prim_orbit_index": 3, "minimal_twist": "322.2.i.d", "char_is_minimal": true, "conrey_index": 29, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}