# Stored data for newform 430.2.k.d, downloaded from the LMFDB on 25 April 2024.
{"label": "430.2.k.d", "space_label": "430.2.k", "level": 430, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13511486110433710, "dim": 24, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [49, -1078, 16709, 82355, 184450, 289947, 427218, 289696, 362869, 15406, 44288, -68705, 13990, 12028, 18973, -2194, -590, -117, 772, -304, 113, -17, 10, -2, 1]]], "char_order": 7, "char_parity": 1, "char_degree": 6, "char_conductor": 43, "char_orbit_label": "k", "char_is_real": false, "Nk2": 1720, "analytic_conductor": 3.4335672869150566, "level_radical": 430, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [430, 7, [87, 261], [7, 5]], "inner_twist_count": 2, "level_primes": [2, 5, 43], "conrey_indexes": [11, 21, 41, 121, 231, 391], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c7", "trace_display": [4, 2, 4, -2], "traces": [24, 4, 2, -4, 4, 12, -2, 4, -4, -4, -9, 2, -2, -5, -2, -4, 13, -10, -3, 4, -14, -5, 11, -2, -4, 2, -13, 5, 20, 2, -5, 4, 15, 1, 9, 24, -38, -18, 5, -4, -2, -14, -2, -2, -10, -4, 10, 2, 50, -24, -42, -2, 22, -29, -5, 9, -67, 22, -44, -2, -26, -2, 37, -4, 2, -8, 37, -15, 88, -9, 19, -10, 22, -4, 2, 18, 28, 23, 30, -24, -26, 37, -11, -14, -6, 16, -26, -5, 30, -4, 36, -10, -98, 4, 3, -2, -39, 41, -31, -4, -11, 42, 96, 2, 0, 13, 16, 8, 3, -9, -36, -9, -45, 4, -4, 20, -63, -5, 47, 2, -3, -44, -74, -26, 4, -23, -21, -24, 23, 12, 30, 1, -59, 40, 48, -6, -18, 38, -4, -5, 5, -26, -45, -4, -20, -22, -137, 4, 48, -2, -67, 3, 96, -21, 26, -23, 9, -30, -13, -4, 21, 26, -21, 19, 48, 88, -65, 0, 16, -15, -24, 5, 26, -86, 5, -9, 126, 96, -16, 18, 36, -36, -102, -4, -11, 14, 32, -4, 175, -10, -85, 2, -10, -10, -5, 15, 42, 31, -144, 4, 32, 25, -2, -7, -19, 65, 63, 12, 10, 7, 70, 22, -28, -30, 30, 48, 53, 4, 60, -5, 194, -76, -119, -5, -18, -81, 40, 66, -80, 11, -18, -20, -51, -63, -10, 12, -88, -19, 167, -2, 55, 3, 74, -26, -1, -52, 102, 26, 17, -4, -74, 44, 32, -7, -28, -4, -110, 117, 12, 2, -168, 33, 22, 48, 62, -4, -67, -40, -54, 8, 18, -15, 11, 18, 5, -10, -84, 32, 19, 5, -85, 58, -33, 26, -66, -25, 90, 18, -75, -22, -155, 29, 79, -52, -54, -11, 12, 1, 72, -12, 56, -10, 108, -10, 19, -12, 184, -98, -68, 2, -96, -5, -107, -23, -23, 37, 19, 13, -119, 4, 129, 7, -75, -82, -2, -63, 254, -19, 155, 1, -131, -11, 9, 65, -37, 7, 54, 124, -12, 1, -40, -39, -214, 30, 80, 23, -57, -26, 102, 2, 212, -5, 43, -126, -19, 30, -214, -12, -40, -18, 83, 6, -125, -13, 27, -94, -4, 11, 122, 11, 17, 49, -64, 10, -2, -10, -133, 49, -88, 10, 334, -111, -11, -2, -21, 10, -101, 66, -48, 19, -201, -1, 168, -70, 82, -10, -26, -73, -158, -4, -20, 101, -8, -25, -72, -68, 163, -28, -3, -37, 248, -79, -11, -63, 11, 2, 1, 11, 20, -7, -16, 14, 18, 62, 13, 84, 63, 16, -96, 33, 96, 8, 1, 24, 47, 38, -208, -39, 95, 5, -69, 72, 103, -36, 40, 119, 216, 5, -143, 4, -24, 4, -55, 58, 55, -66, -87, 17, 198, 10, -33, -45, -53, -22, -14, 2, -44, 28, -33, 10, -121, -54, 18, 32, -10, -51, 73, -6, -12, -12, -87, 50, -67, 53, -10, -88, -58, 19, -321, 1, -192, 45, 74, 10, 10, 2, 223, 11, 238, 4, -42, 46, 114, -23, 11, -32, 18, 21, -180, 42, -8, 4, -41, -23, -96, 30, 46, -89, -41, -2, -40, 0, -152, 2, 0, -22, 158, 1, -69, 22, 94, 4, 140, -38, 26, -37, 134, 54, -121, -29, -24, -18, -145, 1, 4, 80, 51, -53, -178, 9, 142, 80, -98, -77, -27, 66, 21, -236, -172, 2, 259, -55, 72, 40, 80, 68, -251, -19, 29, -4, 2, 18, -9, 148, -10, -18, -168, -51, 81, -20, -203, -153, 42, 27, -28, -79, 144, -137, -7, 12, 55, 11, -31, -5, 30, -22, -19, 68, -80, -2, -28, -154, 240, -67, 17, -45, 1, 10, 156, 23, 18, 12, 16, 54, 60, -21, 88, 68, 225, 5, -59, -51, 142, 19, -4, -75, 126, 23, -66, 37, 28, 82, -68, 93, -21, -6, -45, -56, -198, -4, -36, 137, 118, -98, 82, 124, 6, -72, 71, 2, -42, -70, -8, 110, -2, -37, -181, 83, -82, -8, -79, 131, -5, 11, 59, 110, -42, -2, 311, -5, -61, -7, 288, 79, -13, 16, 238, 12, 39, 13, 96, 138, -183, 11, -73, -52, 138, 33, 136, -10, 10, 26, -78, 22, 60, 47, 67, -102, 247, 5, 16, -58, -22, 5, -40, -99, -77, -133, -53, -37, -452, 40, 66, 214, -18, -23, 97, 26, -62, 4, -195, 120, 230, 120, -36, -57, 48, 55, 41, -48, 118, -18, -31, -52, -31, 10, 108, -346, -46, -4, -37, 88, 38, -14, 1, 197, 128, -10, -66, 2, 203, 10, -155, -91, -122, -112, 52, 88, 86, -10, 87, -89, -227, 111, -96, 4, -354, -12, -197, 28, -10, -10, -44, -32, 58, -10, -93, -1, 28, 2, 186, -121, 231, 1, -9, 140, -80, 42, -221, -82, 116, 10, -104, -9, -29, 80, -141, -73, 126, 4, -174, 41, -94, 123, 7, -41, -350, 11, 179, 72, 54, -2, -87, 152, -63, 42, -141, -186, -19, 2, -81, -80, 254, -96, 15, 179, -13, 70, -163, 66, 32, -2, -11, -1, -103, 87, 237, -104, -108, 0, 132, -40, 36, -14, 26, -81, 83, 22, 74, -13, -20, 28, 200, 154, 38, 26, -123, -86, -304, 23, 234, 16, 55, -29, 16, -120, -366, -129, -253, -47, 108, 4, 334, -170, -5, 39, 169, 52, -30, 9, -4, -134, 17, -44, 49, -103, 90, -27, 185, 58, -54, -133, -108, 211, -19, 2, -142, -39, -124, 10, -54, -144, -42, 80, 6, -155, -25, 68, -76, 64, 12, -4, 2, -11, -94, 74, -377, 215, -28, -10, -159, -2, 119, -46, 4, -136, 62, -20, 43, 14, -62, -51, 405, 16, -32, -28, 24, 124, -10, 32, -319, 23, -21, 12, 28, 45, -222, -88, -95, 3, 28, 30, -538, -199, 85, 6, 8, 26, 42, -2, -105, 87, 358, 62, 10, -3, 163, 17, -160, -39, 141, 88, -116, 23, 19, 23, 72, -141, -16, -15, -153, 122, -272, 60, 28, -81, 143, -164, 24, 102, 162, 5, -147, -34, 18, -60, -266, 154, 8, -4], "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, 43, 5, 1, 7, 0]], "char_orbit_index": 11, "prim_orbit_index": 5, "minimal_twist": "430.2.k.d", "char_is_minimal": true, "conrey_index": 11, "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}