# Stored data for newform 322.2.i.e, downloaded from the LMFDB on 23 April 2024.
{"label": "322.2.i.e", "space_label": "322.2.i", "level": 322, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18014948298850626, "dim": 40, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [33860761, 362162922, 1937936484, 6804933157, 17749409293, 37180731027, 64438391435, 92612962563, 113499565993, 120432387097, 110411422441, 95405407025, 79437486079, 54365242852, 36637731058, 23047112003, 14178062633, 6493350909, 3638964118, 1115525808, 890340611, 114779646, 114758332, 47579992, 23022361, -443581, 6536758, -172102, -66636, 81192, 53620, 14952, 2094, -3306, 1092, -217, 169, -49, 8, -2, 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, 2, -9, -4], "traces": [40, 4, 2, -4, -9, -2, -4, 4, 0, -2, 0, 2, 4, 4, -11, -4, -21, 0, 4, 2, 2, 0, -11, -2, 5, -15, 95, -4, 0, 22, -12, 4, -8, 10, -9, 0, 41, 7, -38, -13, 25, -2, -59, 0, -6, 11, -60, 2, -4, 61, -87, 4, 47, -29, -30, 4, 20, 0, -96, -11, 84, -65, 0, -4, 52, -3, 11, -10, -42, -2, -13, 11, -48, -41, 23, 26, 0, -83, 80, -9, 2, 30, -20, 2, -71, -40, 99, 0, -30, 116, 26, -22, 20, -17, -4, -2, -56, 4, 138, -28, 51, 76, -23, 29, -22, 30, -36, -70, 10, 30, -76, -4, 48, -42, -20, 22, -57, -47, -21, 11, -98, 59, -55, -78, 10, 22, -8, 4, 18, 58, 24, -63, 4, 0, -264, 10, -6, -57, 142, -9, -61, 24, -127, 0, 213, -18, 2, 8, 39, 131, 32, -4, 189, -11, -67, 83, 71, 52, 69, -2, 22, -200, 72, 14, 143, 20, 48, 9, -62, 5, 106, 7, 18, 121, 16, 0, -53, -91, 124, 82, -121, 29, 98, 11, 90, -86, 21, -27, -37, 48, 108, 2, -54, -43, -110, -4, -64, 38, 79, -5, -115, -51, 0, 1, 45, -10, -18, 26, -160, 11, -52, -30, -72, -41, -126, 37, 65, 34, 31, 91, -206, -34, 8, 4, 243, 40, -6, 20, -62, -178, -30, 0, 13, 57, -197, 47, -7, -56, -16, -22, -31, 43, 12, -37, 2, 55, -163, 78, -161, -43, 71, 66, -3, -80, 187, -4, 143, -18, -69, 74, 30, 9, 221, -14, 4, -26, 59, -55, -52, -220, 118, -21, -104, 61, -6, -75, 188, -65, -14, -13, -70, 116, 119, 31, -99, 39, 47, 22, -93, -15, -102, -26, 43, -2, -99, 3, 38, 60, -26, 12, 7, 67, -146, 4, -35, 163, 4, -11, 69, 1, -82, 38, 14, -38, 27, -63, 78, -58, -197, -9, 60, -11, -290, 2, -113, 93, -16, 85, -5, -308, 183, -42, -109, -48, 71, 2, 130, -92, -192, -5, -7, 180, -4, -84, 154, -18, 19, -33, 165, -16, 98, -11, -23, -35, -35, 36, 89, -14, -47, -115, 28, -88, 89, 4, -208, 243, -204, 22, 236, -101, 3, -24, -147, 45, 0, -61, -34, 70, -139, 128, 135, -53, 82, 9, -74, 54, 151, -1, 117, 66, 69, -40, 148, 9, 77, -38, 136, -13, -57, 16, 105, -105, 58, 51, -455, 22, 298, -89, -198, 87, -344, -23, -8, -70, 268, 29, -129, 116, -13, 11, 34, -69, 217, -47, -413, -115, -59, -25, -143, -193, -39, -37, 1, 12, 176, -12, -59, 46, 30, -91, 0, 206, -29, 45, 156, 25, -317, -4, -38, 120, -24, 4, 231, -16, 19, 24, 158, 95, 218, -42, 112, -14, -165, 0, -440, 119, 207, 9, 99, 43, -47, 8, -49, 18, 274, -21, 220, 16, 1, 11, 34, 42, 145, 232, 200, 76, -161, 37, -20, -2, -161, -77, 226, 31, -31, 65, -2, -15, -18, 43, -336, -38, 15, 22, -94, -140, 148, -8, 179, 341, -4, 4, 48, 22, 268, -15, -57, 14, -192, -19, -120, -129, 107, -9, 23, 120, 174, -30, -11, -290, 124, -7, 123, -59, 80, 88, -215, -223, 11, -88, 24, 234, -28, -56, 102, -83, 28, 71, 234, 149, -220, -24, 14, 21, -220, 43, -17, -19, -124, 2, 139, 15, -39, 137, -215, -119, -185, -20, -36, 99, 58, -6, -273, -58, 337, 66, -139, 93, 248, 15, -9, -118, -122, 4, 361, -87, -34, -9, 105, -99, 15, -69, 189, 6, -16, 39, -82, 26, 100, 131, -240, -40, 142, 21, -67, -305, -113, -26, 44, 24, -230, -108, 210, 150, 99, 11, -114, 85, -149, -78, -323, -28, 36, -104, -320, -14, -238, 38, 249, 105, -115, -58, 114, -23, 37, 47, 4, 10, -193, -13, -224, 138, -56, 44, -44, -249, -59, -46, 184, 146, -13, -27, 136, -314, 176, 47, 284, 16, -152, -242, 61, -183, -261, -35, 128, -188, -36, -84, -204, -82, 238, -2, -9, 101, 218, -95, -373, -39, 32, 71, 100, 18, 5, 216, -113, 4, -97, 7, 216, -220, 398, 18, 6, -19, 36, -22, -371, 22, 89, 5, -352, 375, -7, -11, 451, 100, 7, 35, -17, 134, 245, -58, -397, 32, -109, -41, -289, 47, -214, 27, 32, 115, 117, 44, 25, 252, -98, -15, 351, -188, -202, 32, 0, -104, 66, -11, 252, -302, 19, -108, -307, 8, 127, 35, -251, 125, -1, -34, 41, 33, -87, -5, 42, 34, -238, 29, -421, -48, -69, 4, -159, 206, 10, 53, -458, 17, 205, 2, 239, 107, 160, 34, -118, 91, 337, 12, -54, 81, 5, -110, 72, -212, 220, -4, -124, 72, 81, 90, -59, -198, 59, -138, 13, 84, 198, -86, -150, -42, 175, -16, 194, 269, -216, -192, 46, -168, -124, 4, -66, 455, 291, 11, 200, 153, -36, 89, -149, 88, 9, 56, 185, -41, 107, 1, 29, 8, -220, 169, 448, -92, -122, 4, 1, -25, 104, 126, -106, -20, -34, 0, -148, 32, -143, -217, 710, -217, -98, 3, -74, 116, 41, -50, -131, -84, 243, 25, 152, -187, -198, -148, -55, 259, 20, 70, -176, -1, 5, -12, 186, -363, 189, 34, -734, 81, -78, 31, 33, 36, -140, -74, -59, 11, 57, 80, 231, 18, -110, 54, -8, 141, -162, -25, -22, 20, -59, -40, 0, -314, 375, -197, 46, 24, -125, 73, 21, 198, 135, -83, -280, -74, -222, -57, -200, 95, 418, 103, -42, 57, -48, 64, 584, 97, 246, -63, 374, -187, 51, 22, -109, -110, -18, 2, -13, 145, -211, -64, 108, -99, -640, 56, 249, 256, 61, -8, -88, 16, -203, -18, -206, -131, 206, -1, -210, 99, -274, 149, 206, 351, 5, 11, -312, 65, 135, -31, 684, 119, 28, 43, 65, -134, 433, 276, -67, 7, 542, -59, 97, -90, 93, -9, -116, -81, -84, 77, 386, 148, 137, 2, 411, -398, -41, 12, 162, 2, -202, 4, 86, -92, -497, 166], "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.e", "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}