# Stored data for newform 225.2.q.a, downloaded from the LMFDB on 18 April 2024.
{"label": "225.2.q.a", "space_label": "225.2.q", "level": 225, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1099545182433, "dim": 224, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 15, "char_parity": 1, "char_degree": 8, "char_conductor": 225, "char_orbit_label": "q", "char_is_real": false, "Nk2": 900, "analytic_conductor": 1.7966340454788086, "level_radical": 15, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [225, 15, [101, 127], [10, 3]], "inner_twist_count": 4, "level_primes": [3, 5], "conrey_indexes": [16, 31, 61, 106, 121, 166, 196, 211], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 28, "sato_tate_group": "1.2.3.c15", "trace_display": [-3, -8, -8, -8], "traces": [224, -3, -8, 23, -8, -10, -8, -20, -8, -20, -11, -4, -3, 1, -48, 23, -24, 0, -12, 1, 15, -11, 1, -30, -16, -136, 7, 4, -15, -24, 3, 12, -5, 1, 14, 38, -24, 55, 20, 1, -19, -38, -8, 4, -38, -20, -10, -25, -72, -3, -26, -25, -12, 53, -20, -60, 38, -23, -30, -33, -3, -44, 46, -44, 51, -134, -12, -156, 4, -16, 42, 74, -12, 90, 67, -8, 31, -92, -15, 298, -104, 8, 59, 115, -11, 9, -59, -23, 106, 107, 30, 11, 32, 25, 7, 35, -21, 146, -20, -148, 114, 67, -21, -17, 58, 37, -76, -184, -12, -57, -86, 55, 83, 28, -5, -24, 67, 32, -50, -28, -7, -98, 125, 4, -224, 52, -96, -24, -49, -30, -67, 348, -51, 130, 115, 48, -75, -11, 15, 317, -64, 25, 200, 104, -8, -88, -20, 41, 120, -141, 16, -42, 197, -58, -127, 52, -14, 187, 70, 57, 38, 217, 114, -136, 140, -74, 19, 234, 1, 146, -122, -80, -34, 10, 67, 190, -32, -23, 62, -226, 24, -74, 196, 13, -65, 41, 7, -592, -197, -32, -37, -147, -32, 1, 249, 6, 92, -185, -80, 135, 6, 87, 31, 47, 7, 250, -696, -184, -51, -298, -3, -23, -172, 27, -306, 241, 102, -230, -58, 61, -32, 24, 87, -504, -228, -88, 83, -310, 51, -246, 151, -28, -208, -273, -32, -35, -62, 131, -111, -545, -39, -160, -238, 12, -39, 102, 5, -163, -260, 175, -504, 259, -116, 15, -12, -77, -70, 53, -78, 88, 155, 184, 179, 191, -50, 61, -92, 64, 76, -275, 12, 41, 33, 44, 91, -390, 69, 296, 108, 86, -61, 590, 33, -188, 100, -58, 174, 620, 8, 529, -138, 111, -248, 66, 97, 348, 139, -264, 246, 377, 134, -49, 43, 73, 432, -416, -92, 232, 81, -203, -43, -162, -39, 266, 391, -228, 121, -142, -47, -307, 143, -160, 312, 192, -24, 268, -135, 77, -19, 407, -12, 308, -196, -92, -111, -253, -108, 364, 105, 27, 130, 277, 68, -77, -4, -11, 27, 238, -80, -166, 58, 146, 40, -514, -77, -29, 478, 187, 88, 613, 112, 157, 40, -17, 263, 75, -30, 732, 269, 264, -146, -213, -129, 306, 121, -52, -414, 673, 60, -380, 187, -4, 29, 425, -46, 116, 342, -360, 55, -210, 103, 183, 244, 25, 214, -410, 264, -358, 212, -1, 308, -332, 11, 116, -203, 62, -108, 408, 27, -154, -224, 9, -600, -416, -92, -53, -85, 26, -69, 305, -75, -96, -262, 632, 197, 368, 21, -122, -188, -109, 314, -1642, 144, -231, -195, -100, -29, -637, -30, -1700, 402, -114, -250, -257, 1, -126, -84, 26, -712, -296, 260, 35, -430, -23, -206, 399, 208, -660, -356, 406, -123, -570, -87, -327, -740, 43, 4, -1060, 174, -428, 154, 107, -96, -636, -9, -824, 148, 208, -85, -172, 59, -424, -241, 65, -10, 421, -204, 610, 132, 123, -85, -455, -190, -128, -397, -116, -59, 199, -8, 181, -642, 27, -192, 369, -18, -231, 462, 117, -50, -151, -108, -220, 593, 120, 343, -195, -89, -224, -178, -309, 110, 359, 60, 506, 205, -64, 220, -311, 17, 830, -314, 152, 63, 87, 252, 13, -400, 127, 302, 889, 84, 157, 60, -277, -282, 288, 141, 876, 386, 322, 456, 30, -51, -42, 466, -51, 712, -298, 102, -161, -51, -20, 387, 421, 19, -112, 519, -196, -79, 243, 39, 87, 294, -56, -172, 606, 168, -220, -19, 133, -94, 666, 7, 514, 342, -408, -93, 37, 71, 942, -217, 53, 852, 433, -214, -211, -181, -22, 324, -101, 22, 124, 401, 220, -336, 200, -98, 266, 414, -137, 12, 665, -288, -371, 186, 47, 215, 1090, -21, 1104, -518, -320, -350, 138, -136, 184, 155, -113, 340, -600, -66, -696, 491, -209, 78, -60, 3, -1450, -362, 396, -63, -101, -128, 221, 361, 145, -34, -629, -328, 46, 26, -253, 138, -198, -2, 414, -1004, 254, -242, -311, 99, 265, -586, -45, -642, 513, -272, -408, -162, -149, -204, -186, -207, -352, -14, -860, 286, -88, -45, -632, 409, -394, 2, -649, -452, 274, -78, -131, -72, -526, 39, -428, -580, -344, -230, 306, -56, -449, -206, -497, -660, 339, 44, 331, -250, 79, -234, -144, -93, 218, 323, -332, 373, 393, -93, 50, -284, 404, 210, -733, 42, 272, -241, -176, 287, -776, -192, -150, 391, -92, -15, 998, -150, -254, -11, 239, 108, 940, -180, 993, 109, -34, -396, -228, 225, 868, 17, 464, 314, 444, -122, 194, 98, -225, 452, -693, -20, 316, -37, -97, -179, 321, -24, 136, 829, 160, 107, 82, 99, -563, 552, 145, 346, 634, -216, 878, -362, 73, 33, 711, 133, 1456, -9, 450, 78, -135, 165, 859, 628, -41, 278, 483, 36, 235, -170, -281, -4, 438, 62, -244, 610, -840, 359, -364, -22, -554, 878, -408, 162, 561, 36, 210, -224, 209, 251, 13, -48, 664, 298, -136, -61, -290, 141, 890, 217, -116, -520, 659, -456, -497, -82, -292, 34, 525, 97, -222, 366, 814, -275, -404, -139, 189, 458, 81, 522, -912, 244, -519, -376, 235, 444, -631, 117, -606, -623, -156, -630, -240, 60, 129, -213, 43, -1006, -963, -272, 243, -414, 740, -195, 322, -130, -214, -653, -340, 43, 420, 225, -249, -293, 303, 170, -2020, -300, -361, -368, -69, -59, -1342, 120, -2404, 191, 774, -500, -132, 373, -496, -215, 321, -1088, -104, -40, -113, -524, 209, -437, 795, 418, -362, -399, -408, -29, -126, 247, -369, -1236, -252, -636, -1232, 60, -588, 102, 169, -325, -994, 267, -356, 175, -110, -122, 155, -162, -884, -279, 61, -76, 359, 588, 742, 21, -110, -33, -433, 206, -408, -556, 404, 4, 46, 360, -155, -268, 432, -770, 50, 226, -553, 236, 64, -231, 71, 79, -1174, 815, -76, 443, -330, 123, -694, -531, 235, 462, 359, -306, 70, -289, 382, 434, -1025, 121, 1672, -614, -208, -163, -65, -422, 137, -785, -49, 550, 1051, -540, 436, 320, 59, -172, 760, -216, 1076, 608, 418], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0], [1, 1, 25, 4, 1, 5, 0], [1, 1, 225, 17, 1, 15, 0]], "char_orbit_index": 17, "prim_orbit_index": 17, "minimal_twist": "225.2.q.a", "char_is_minimal": true, "conrey_index": 16, "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}