# Stored data for newform 125.2.h.a, downloaded from the LMFDB on 16 April 2024. {"label": "125.2.h.a", "space_label": "125.2.h", "level": 125, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 481069891709, "dim": 240, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 50, "char_parity": 1, "char_degree": 20, "char_conductor": 125, "char_orbit_label": "h", "char_is_real": false, "Nk2": 500, "analytic_conductor": 0.9981300252660048, "level_radical": 5, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [125, 50, [2], [1]], "inner_twist_count": 2, "level_primes": [5], "conrey_indexes": [4, 9, 14, 19, 29, 34, 39, 44, 54, 59, 64, 69, 79, 84, 89, 94, 104, 109, 114, 119], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 12, "sato_tate_group": "1.2.3.c50", "trace_display": [-20, -20, -25, -25], "traces": [240, -20, -20, -20, -25, -20, -25, -35, -20, -20, -25, 60, -20, -30, -40, -40, -15, -25, -10, -10, -35, -25, 70, 15, 35, -45, -20, -10, -10, -40, -30, -25, -35, -20, -40, 170, -55, -40, 0, -35, -35, -10, -25, 15, 140, -40, 100, 5, 35, -10, -55, -15, -15, 30, -15, 65, 0, 255, 5, 135, -40, 5, -35, 25, -30, -95, 105, 0, -10, -55, 45, -30, -40, 35, -15, -65, -35, 100, 0, 430, -95, 175, 20, 45, -10, -80, -5, -5, 30, 0, 65, -55, 275, 60, 10, -135, 35, -15, 45, 60, -85, 430, -20, 190, -75, 130, -100, -275, -20, -195, 40, -260, 95, -160, 120, -75, -45, -175, -155, -490, -85, -265, -310, -280, -160, 130, -130, -15, -185, -95, -65, -475, -180, -45, -50, -70, 225, -285, -65, -205, 120, -160, -100, -100, -120, 340, -90, 385, 55, 595, -85, 345, -45, 95, 10, -170, 125, 65, 280, -15, 15, -10, 280, 135, -55, -165, -60, 450, 60, 195, -80, 430, -25, 115, -45, -50, -35, -75, 30, -60, 285, 0, 300, 150, 320, -235, 105, -105, 110, 275, -85, 420, 0, 20, -5, 285, -20, 385, 125, -25, 0, -30, 210, 310, 155, -195, 625, -35, 65, -30, -150, 270, 60, 315, 5, 535, -45, 475, 130, 435, -130, -90, -155, -110, 240, -205, 20, -330, -270, -465, 95, -550, -45, -440, -330, 170, -425, -155, -80, 135, -55, -100, -475, -470, -285, -135, -40, -515, -200, -750, 490, -925, -130, -290, -5, -160, -325, -545, -380, 10, -140, -200, -270, -485, -400, 65, -365, -450, 75, -580, 110, -345, 245, -195, -30, -385, 140, -165, 90, 5, -155, 700, -55, 115, 160, 575, -5, 650, 135, 505, -70, 0, 150, 320, 660, -290, 360, -15, 195, 15, -5, 180, 60, 195, 25, 165, 0, 620, 185, 320, -160, 735, 165, 190, 255, -340, 560, 0, 125, 10, 520, 10, 235, 385, 145, 145, 15, 750, 130, 745, -165, 475, -45, 590, -105, -50, 5, -140, -50, -170, 15, -165, 125, -250, 180, -200, 5, 150, -35, 10, -275, 190, -410, -175, -260, 735, -425, -50, -250, -720, 270, -620, -60, -230, 55, -255, -45, -975, -145, 65, -25, -130, -295, -380, -295, 220, -390, 255, -70, -460, -5, 50, 375, -525, -5, -125, 115, -550, 155, -600, 215, -775, -125, -170, -325, 440, -180, -250, 25, 210, -195, -65, -95, -255, 170, -280, -50, -355, -45, -370, 55, -220, 195, 215, 245, 305, 310, 675, 220, 990, -285, 1250, -5, 375, -10, 375, 530, 485, 225, -15, 190, 0, 235, 360, 720, -425, 155, 325, 170, 670, -370, 390, 0, 1180, 0, -175, -40, 560, 155, 380, 90, 15, 900, 335, 515, -310, 450, -105, -45, 35, 515, 160, -265, 30, -620, 735, -415, 0, -225, -65, 90, 160, -390, -515, -45, -340, -510, -645, -230, -1185, 75, -375, -275, -335, -305, 145, -570, 640, -700, -225, -200, 45, -450, -525, -750, 140, -80, -1485, -160, -790, 120, -770, -155, -895, 120, 65, -725, -270, -180, 30, -220, -50, -810, -255, -525, 610, -225, -175, -670, -310, 180, -1230, 485, -110, -525, -355, 385, -465, -360, -110, 195, 400, -455, -340, -280, 395, -560, 150, -45, 370, 250, 5, 250, 400, 125, -520, 55, -110, 305, 285, -140, 720, 160, 1085, -50, 325, 0, 1415, 210, 1210, -295, 1045, 420, 1035, 240, -75, 885, 0, 230, 195, 290, 140, 365, 375, 520, 455, 30, 170, 380, 415, -480, 525, -245, 130, 465, -400, 295, 105, -15, -190, -110, -770, 1075, -25, -100, -560, 235, 300, 115, 250, -215, 255, -335, -570, -190, -100, 25, 90, 335, 205, 155, -495, -270, 155, 575, -1325, 80, -75, 480, 265, -430, -290, -35, 10, -505, 530, -200, 45, 20, -120, -395, 350, 260, -15, 80, -1320, 625, -465, -115, -825, -330, 510, -50, -200, 145, -255, -255, 295, -95, 655, -385, -150, 70, -25, 575, -660, 25, -460, 15, -755, -95, -295, 975, 440, 255, -440, 210, 400, 245, 575, -460, 940, 20, 525, 85, 595, 190, 365, 270, 580, 845, 0, 205, 1035, 485, 180, 575, 800, 225, 1400, -260, 1345, 0, 295, -145, 700, 80, 1180, 175, 495, -180, 225, 420, -165, -115, -450, -25, -530, 30, -595, 245, 120, -375, -455, -405, 210, -670, -675, -275, 300, 160, -1160, -220, -405, 475, -475, 125, -1500, 175, -825, 110, -1225, 300, -955, -465, 420, -475, -435, -285, -965, -115, 265, -625, -740, -405, 370, 80, -630, -500, -1750, 280, -1815, -360, -625, -335, 280, -425, -590, -535, 175, -250, -470, -675, -1345, -455, 385, -605, -125, -115, -1035, 110, -705, -385, -835, 210, -345, 240, -555, -185, -320, 115, -500, -445, 505, -740, 1075, -165, -375, -100, -95, 400, -90, 75, -185, 670, -580, 160, -305, 105, -75, -100, 115, 955, 380, 145, -70, 0, 1225, 345, 655, -360, 855, 1155, 545, 195, 165, 350, 0, 380, -155, 515, 300, 165, 245, 495, 515, 190, 215, 105, 1430, -490, 375, -80, -85, 180, 305, -305, 525, 630, -730, 200, -335, -200, 185, -50, -45, 520, 130, 15, -215, -235, 570, -185, 100, -40, 150, 775, -25, -75, 60, 425, -25, 165, -620, 950, -225, -95, -150, 25, -160, 70, -250, 115, 180, -85, -90, -170, 455, -150, 45, -30, 75, 305, 325, -160, -145, -75, -1455, 50, 215, 1035, 465, -200, 410, 60, 875, -335, 345, 220, 250, 75, 165, -360, 800, 5, 15, 300, 210, -145, -315, -130, -160, 380, 95, -275, -255, 530, 1175, 150, -110, -420, 500, 200, 435, 310, 320, 1005, 110, 250, 770, 270, 0, 460, 620, 1330, -130, 390, 330, 195, 1030, 15, 220, 0, 360, -65, -195, -280, 790, 10, -350, -210, 525, 115, -160, -585, -425, 225, -210, -35, 290, 390, 1090, -755, -645, -280, 1080, -1115, 725, 50, 395, 170, 45, -390, -100, -780, -265, -350, -1055, -785, -580, 90, -1275, -800, -5, -975, -205, -795, 5, -545, -670, -80, -30, -175, -1120, -325, 375, -90, -270, -830, -965], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": true, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 125, 8, 1, 50, 0]], "char_orbit_index": 8, "prim_orbit_index": 8, "minimal_twist": "125.2.h.a", "char_is_minimal": true, "conrey_index": 4, "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}