# Stored data for newform 187.3.k.a, downloaded from the LMFDB on 05 November 2025.
{"Nk2": 1683, "analytic_conductor": 5.095380943537552, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 11, "char_degree": 4, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 11, "char_orbit_label": "k", "char_order": 10, "char_parity": -1, "char_values": [187, 10, [35, 122], [7, 10]], "cm_discs": [], "conrey_index": 18, "dim": 128, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 687245099195, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 4, -1, 10, 0]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "187.3.k.a", "level": 187, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": true, "level_primes": [11, 17], "level_radical": 187, "minimal_twist": "187.3.k.a", "prim_orbit_index": 4, "related_objects": [], "relative_dim": 32, "rm_discs": [], "sato_tate_group": "2.2.3.c10", "self_twist_discs": [], "self_twist_type": 0, "space_label": "187.3.k", "trace_display": [0, 2, 6, 0], "traces": [128, 0, 2, 76, 6, 0, 0, -40, -86, 0, -8, 16, 0, 6, -42, -196, 0, -150, 0, -78, 0, -10, 24, 0, -244, 126, -58, 110, -90, 240, 126, 0, 48, 0, 150, -24, -150, 244, 210, 480, -120, 74, 0, -112, 228, 210, 8, -18, 686, -160, 0, -600, -212, 0, 74, -1004, -640, 62, 278, -540, -160, 320, -160, 360, 0, -432, 528, 0, -322, -268, 330, -990, -610, 1180, -140, 0, 702, 136, -800, 880, -92, 220, -640, 480, 0, 756, 0, -634, -96, 800, 98, 242, -420, -400, 0, -1240, -414, 0, 374, 352, -160, 0, 1106, -234, 1640, 890, 850, -770, 0, 426, -488, 730, 416, -412, -906, 380, -390, -670, -34, 0, -604, -1840, -390, 156, -1008, -614, 550, -1390, 910, 1090, 0, 782, 912, -780, -430, -612, 360, 2190, -1490, 2300, -360, 0, 328, 208, 1150, -616, -1562, 26, 90, 0, -400, -190, 0, -2114, -356, 2280, 512, 34, -1442, -340, -850, -120, -330, 0, 1844, 812, 0, -896, 676, 714, 1020, 30, -640, -1798, 0, 1408, 1124, -940, 1968, 990, 1018, -3150, 2530, -3650, 2188, 0, 136, 940, 130, -842, 42, 2236, -570, 1900, 1840, -1668, 0, -3066, -1776, -2060, -1522, -318, -948, 0, -1690, -30, -274, 0, -580, 900, -760, -230, 1732, 2314, -2530, 190, -990, 2742, 0, 2110, 0, 910, -36, 224, 1250, 2090, 780, -3130, -8, 0, -1984, 5204, 1030, -84, -2070, 436, 1710, 0, -2170, -958, 0, 272, -2700, -760, -2136, 1988, 78, 640, 2660, 3000, -182, 0, -432, 8, 0, -2660, -966, -558, -4130, -3790, 330, 2302, 0, -2762, -1484, -2270, 2376, 1816, 1194, -1950, 1160, 0, 3846, 0, 908, -3696, 1420, 3962, 392, -4130, -1450, -5090, -3760, -5590, 0, 3608, 5620, -1870, 544, 3254, -426, 4400, 130, 8460, -524, 0, -1840, -6696, -760, -318, -1606, -5756, 1530, 5610, 70, -884, 0, 2946, -5132, 2430, -212, -5420, -1120, 440, -190, 4210, 3644, 0, -2552, 6256, -3990, -4020, -204, -1074, 1290, -1920, 4430, -3872, 0, 2106, -5320, 1330, 4216, 1358, 2152, 250, 2400, -3940, -828, 0, -2910, -980, 2140, 9660, 2552, 3120, 2780, -530, 3660, 730, 0, 5398, 1992, -3600, -248, -3766, 0, -1500, -470, 1890, -976, 0, 1604, 8612, 4930, 3084, 1312, 476, -460, -80, -5580, 3200, 0, 850, 3228, 3100, -3252, 1748, -2064, -2760, 4690, 2010, -1588, 0, -2644, -2580, 1830, -7356, -934, -1112, 0, 2380, -3550, -3050, 0, -1190, 2068, -5730, -838, 1280, -2608, -3050, -3170, -4950, -2622, 0, 5122, 0, 580, -3768, -2646, 3668, -3340, -3910, -3360, 2034, 0, -4074, 5692, 2110, 60, -2726, 4760, 8160, 0, -4980, -730, 0, -6452, -8848, 3080, -11256, 3370, 4148, -6960, 110, 2790, 4340, 0, -6652, 840, 0, -3504, -28, -836, -11470, -260, -3150, -606, 0, -380, -5256, -3150, 5324, 3882, -4952, -560, 1670, 0, 10798, 0, 11372, -7860, 6690, 1090, -4746, 106, -5220, -900, -2220, -5754, 0, 6990, 5168, -3630, 272, 7124, -1356, 6840, -5070, 7930, -3936, 0, -3440, -3280, 8310, -778, -6160, 1962, 14760, -290, -11270, -2210, 0, 4898, -1484, 2660, 6974, -1844, 5872, 1570, -3110, 5870, 13320, 0, -6208, 6548, -10790, -5140, -2448, -3926, 11100, -3050, 14990, -5050, 0, 242, 1316, -1270, 11246, 3458, 6064, 1210, 13700, -3250, 1318, 0, -15398, 3620, -2440, 7452, 456, 1056, 6080, -4810, 14850, -2870, 0, 6012, 4588, -7640, -68, -1618, -612, 4580, -1900, 1770, -7096, 0, 6520, 3684, -580, 5536, 2248, 608, -1310, -2840, -13410, 3502, 0, 4012, 5820, -1260, 1388, 1054, 1014, 6030, 2810, -3050, -3218, 0, -18916, -8096, -4280, -8944, 2498, -3526, 0, 150, -7770, -3176, 0, 1620, -7080, -4540, -1290, -1906, -1358, -8590, -5360, -8860, -6252, 0, 13432, 0, -4080, -3658, -4434, 3318, -7550, 110, -12040, 2048, 0, -3670, 5872, 6400, -1092, -6898, -6176, 9500, 0, 540, -1604, 0, -11060, -3644, 4560, -6760, 3962, -518, -15560, -760, 13540, 9738, 0, -5150, 7432, 0, 2450, -2630, -8930, -12550, -2190, 7730, 16714, 0, -9026, -2768, 800, 4642, 788, -494, -8190, 3380, 0, 10780, 0, 10052, -12580, 2170, -988, -2386, 926, -10690, -1470, 4000, -17190, 0, 33978, 1544, 660, 646, 9372, 790, -30, -8180, 7090, -5718, 0, -4406, -11336, 2110, -106, -6358, 1080, 5810, 11350, -8530, -3332, 0, 8504, 2180, 16640, 9486, -2760, -2278, 2450, 4160, 8510, 5702, 0, -9000, 2456, 5400, -22160, -1020, -5700, 10680, 10590, 15680, -3192, 0, 5362, 432, 15780, 9576, 11176, 1400, 4300, 5970, -1820, -3012, 0, -10668, -1052, -1150, 20932, 140, 3380, 8690, -830, 9350, 2048, 0, 16656, 6240, -17090, -2852, -2506, 68, -20340, 7510, -4050, 720, 0, 3818, 14748, 150, 15168, 4854, -836, -1230, 5110, -17920, -1022, 0, 5542, 11716, -14850, -2886, 13126, -350, 1570, -2340, 590, 1624, 0, -15900, -15868, 3470, -19572, 770, 5836, 2040, 2200, -3460, -19262, 0, -7122, -4340, -2380, -5112, 10734, -3776, -2560, -6540, -980, -2708, 0, 10556, -1836, -4730, -15040, -6994, -1442, -7330, -7840, -18940, 7440, 0, -24994, -1144, 6850, -4890, -13110, -3230, 22790, 0, -6770, -3752, 0, -17200, -18828, -3460, -14976, 1018, 9500, -4470, 4990, 9620, 7522, 0, 550, 1516, 0, 370, -6790, 2890, -26960, -1940, 5900, 4884, 0, -11662, -1488, 5360, 5162, -398, -6770, 6450, -660, 0, 11688, 0, 23712, -12920, -2130, -5258, -4504, 7816, -15580, 3130, 3890, -7052, 0, 23388, 12956, -10520, -1904, 5296, 3262, 3220, -14650, 3930, -9012, 0, -6584, -7848, 3450, 6624, -8484, 3364, 44130, -490, -20120, -34, 0, 7498, 10796, 5330, 12706, -5900, -5922, -12170, -22090, 10730, 15742, 0, -15534, 11848, 3740, -8412, -3060, -1550, 12750, 3320, 42110, -392, 0, 9546, 8508, -4320, 11142, 13226, 6302, -2740, 7580, -7680, -4366, 0, -23532, 18196, -10370, 21510, -1284, 7968, 24690, -6810, 12700, 1204, 0, 10616, -1476, -2320, 2668, -10676, -102, -9600, 7550, -3050, -390, 0, 12684, 12148, 3100, 16486, 13196, -6796, 7660, -2170, -30980, 13514, 0, 3196, 10908, -2370, -9826, 8662, 7710, 9310, -2260, -4000, -4148, 0, -26586, -8072, -11060, -14916, 19868, -7860, 4590, 2640, -33020, -9186, 0, -3406, -4688, -3400, 7638, 8742, 10390, -11320, -9130, 8140, -11260, 0, 30768, -1020, -1640, -7538, -21494, 4998, 2980, 9000, -23540, 7582, 0, -10432, -10044, 8540, -4184, -13556, -13888, 14160, 0, 7610, 3114, 0, -43600, 324, 3220, -14382, -1568, -1506, -35510, -11120, 1280, 8214, 0], "weight": 3, "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}