# Stored data for newform 675.2.l.h, downloaded from the LMFDB on 06 September 2025. {"Nk2": 2700, "analytic_conductor": 5.389902136436426, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 27, "char_degree": 6, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 12, "char_orbit_label": "l", "char_order": 9, "char_parity": 1, "char_values": [675, 9, [326, 352], [7, 9]], "cm_discs": [], "conrey_index": 76, "dim": 96, "has_non_self_twist": 1, "hecke_cutters": [[2, [130321, 0, 62779344, 0, 8092333497, 0, -132054586208, 0, 6877296234396, 0, -73065659346837, 0, 888780188849436, 0, -4606239417657957, 0, 8934903195442299, 0, 49698562627016834, 0, -87752331480967467, 0, -112973882254566762, 0, 602991755882573162, 0, 154454105841203943, 0, -592381233761273172, 0, 516107871835681482, 0, 917435666104579737, 0, 313238281037502195, 0, 711080762105127799, 0, 513298142947512915, 0, 110265122484964317, 0, 122068047737965852, 0, 65756101955415192, 0, -3802843769032305, 0, 9911940978929553, 0, 6161491191203892, 0, -792058386479958, 0, 496717321342960, 0, 320835646929507, 0, -79588205670957, 0, 24615380773180, 0, 7848562102398, 0, -1638042957261, 0, 417020287527, 0, 115312119219, 0, -21752060247, 0, 5453861846, 0, 1061418189, 0, -172333047, 0, 37644989, 0, 5857326, 0, -1040481, 0, 195462, 0, 19098, 0, -3051, 0, 496, 0, 33, 0, -6, 0, 1]]], "hecke_orbit": 8, "hecke_orbit_code": 31525953339392675, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 27, 5, 1, 9, 0], [1, 1, 135, 16, 1, 18, 0]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "675.2.l.h", "level": 675, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [3, 5], "level_radical": 15, "minimal_twist": "135.2.p.a", "prim_orbit_index": 5, "related_objects": [], "relative_dim": 16, "rm_discs": [], "sato_tate_group": "1.2.3.c9", "self_twist_discs": [], "self_twist_type": 0, "space_label": "675.2.l", "trace_display": [0, 0, 0, 0], "traces": [96, 0, 0, 12, 0, -6, 0, 0, 18, 0, -6, 0, 0, 18, 0, -24, 0, 0, 6, 0, 24, 0, 0, 30, 0, 48, 0, 0, 30, 0, -30, 0, 0, 24, 0, 54, 0, 0, 6, 0, -12, 0, 0, -78, 0, -6, 0, 0, 30, 0, -90, 0, 0, -108, 0, -96, 0, 0, -66, 0, 6, 0, 0, 0, 0, -150, 0, 0, -24, 0, -90, 0, 0, -66, 0, 12, 0, 0, -24, 0, -54, 0, 0, -198, 0, 18, 0, 0, -96, 0, -6, 0, 0, -24, 0, 42, 0, 0, -36, 0, 6, 0, 0, 78, 0, 12, 0, 0, 24, 0, -54, 0, 0, 114, 0, -138, 0, 0, 180, 0, 6, 0, 0, -48, 0, -126, 0, 0, 228, 0, -48, 0, 0, 312, 0, -120, 0, 0, -42, 0, 108, 0, 0, 450, 0, 240, 0, 0, 186, 0, 150, 0, 0, 6, 0, 252, 0, 0, -18, 0, 252, 0, 0, -84, 0, 258, 0, 0, 30, 0, 234, 0, 0, -264, 0, 216, 0, 0, -144, 0, -6, 0, 0, 90, 0, 6, 0, 0, -216, 0, -90, 0, 0, -312, 0, 114, 0, 0, 6, 0, -60, 0, 0, -366, 0, -144, 0, 0, -354, 0, 6, 0, 0, 78, 0, -36, 0, 0, -162, 0, -42, 0, 0, -300, 0, -6, 0, 0, 66, 0, -54, 0, 0, -108, 0, -42, 0, 0, -30, 0, 6, 0, 0, 24, 0, -156, 0, 0, 258, 0, -150, 0, 0, 558, 0, 36, 0, 0, -54, 0, -216, 0, 0, 624, 0, -186, 0, 0, 336, 0, -24, 0, 0, -168, 0, 42, 0, 0, 306, 0, 36, 0, 0, 540, 0, -192, 0, 0, 54, 0, 114, 0, 0, 288, 0, 168, 0, 0, 42, 0, -192, 0, 0, -168, 0, 54, 0, 0, -138, 0, -108, 0, 0, -330, 0, 48, 0, 0, -114, 0, -84, 0, 0, -450, 0, -138, 0, 0, -462, 0, -174, 0, 0, 60, 0, -330, 0, 0, -498, 0, -186, 0, 0, -570, 0, -156, 0, 0, -60, 0, -126, 0, 0, -546, 0, -252, 0, 0, -282, 0, 54, 0, 0, 72, 0, -180, 0, 0, 54, 0, 36, 0, 0, 90, 0, -144, 0, 0, -84, 0, 18, 0, 0, 342, 0, 6, 0, 0, 168, 0, -186, 0, 0, 312, 0, 144, 0, 0, 348, 0, 138, 0, 0, 840, 0, 84, 0, 0, 192, 0, 354, 0, 0, 378, 0, 96, 0, 0, 228, 0, -246, 0, 0, -42, 0, 738, 0, 0, 126, 0, 624, 0, 0, 150, 0, -330, 0, 0, 156, 0, 396, 0, 0, -126, 0, 678, 0, 0, -228, 0, -6, 0, 0, -24, 0, 294, 0, 0, -180, 0, 396, 0, 0, -708, 0, -42, 0, 0, -48, 0, 210, 0, 0, -756, 0, 120, 0, 0, -360, 0, -54, 0, 0, -258, 0, -198, 0, 0, -252, 0, -192, 0, 0, -228, 0, -102, 0, 0, -258, 0, -138, 0, 0, -54, 0, -306, 0, 0, 354, 0, 18, 0, 0, -84, 0, -324, 0, 0, 438, 0, -216, 0, 0, 456, 0, 258, 0, 0, -240, 0, 18, 0, 0, 864, 0, 174, 0, 0, 780, 0, -24, 0, 0, -60, 0, -216, 0, 0, 666, 0, 108, 0, 0, 750, 0, 606, 0, 0, 6, 0, -78, 0, 0, 498, 0, -180, 0, 0, 174, 0, 420, 0, 0, -96, 0, 162, 0, 0, 168, 0, -216, 0, 0, -264, 0, -114, 0, 0, 6, 0, 18, 0, 0, -1026, 0, -186, 0, 0, -246, 0, 240, 0, 0, 6, 0, -42, 0, 0, -468, 0, -180, 0, 0, -780, 0, 438, 0, 0, 210, 0, -486, 0, 0, -312, 0, -468, 0, 0, -66, 0, -6, 0, 0, 48, 0, -426, 0, 0, -126, 0, -384, 0, 0, -282, 0, 132, 0, 0, 24, 0, -168, 0, 0, 330, 0, -72, 0, 0, 390, 0, -30, 0, 0, -126, 0, 252, 0, 0, 336, 0, 318, 0, 0, 468, 0, -228, 0, 0, -168, 0, 228, 0, 0, 486, 0, 432, 0, 0, 6, 0, -174, 0, 0, -48, 0, -30, 0, 0, 102, 0, 72, 0, 0, 300, 0, -390, 0, 0, -204, 0, 252, 0, 0, -258, 0, 558, 0, 0, -438, 0, -60, 0, 0, -210, 0, 468, 0, 0, -594, 0, 270, 0, 0, -966, 0, -462, 0, 0, -48, 0, 330, 0, 0, -858, 0, 222, 0, 0, -696, 0, -264, 0, 0, 318, 0, -162, 0, 0, -498, 0, -234, 0, 0, -456, 0, -6, 0, 0, 354, 0, -390, 0, 0, 144, 0, -858, 0, 0, 12, 0, -144, 0, 0, -108, 0, -192, 0, 0, 288, 0, -258, 0, 0, 738, 0, -492, 0, 0, 546, 0, 36, 0, 0, 990, 0, -456, 0, 0, 312, 0, -24, 0, 0, 900, 0, -72, 0, 0, 558, 0, -18, 0, 0, 768, 0, -480, 0, 0, -210, 0, -588, 0, 0, 360, 0, 120, 0, 0, 102, 0, -174, 0, 0, 582, 0, -378, 0, 0, -462, 0, -348, 0, 0, -138, 0, 96, 0, 0, 192, 0, -108, 0, 0, -684, 0, 60, 0, 0, -624, 0, 6, 0, 0, -222, 0, 54, 0, 0, -618, 0, -348, 0, 0, -690, 0, 60, 0, 0, -18, 0, -180, 0, 0, -258, 0, -204, 0, 0, -432, 0, 96, 0, 0, -342, 0, -636, 0, 0, -234, 0, -234, 0, 0, 18, 0, 462, 0, 0, 132, 0, 144, 0, 0, 306, 0, 576, 0, 0, 288, 0, 606, 0, 0, -444, 0, 126, 0, 0, 228, 0, 684, 0, 0, 672, 0, 408, 0, 0, -72, 0, 570, 0, 0, 90, 0, 462, 0, 0, 396, 0, 798, 0, 0, 6, 0, 780, 0, 0, 192, 0, 420, 0, 0, 42, 0, 918, 0, 0, -18, 0, 522, 0, 0, -210, 0, 264, 0, 0, -144, 0, 210, 0, 0, 54, 0, 726, 0, 0, -144, 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}