# Stored data for newform 201.3.l.a, downloaded from the LMFDB on 25 April 2024.
{"label": "201.3.l.a", "space_label": "201.3.l", "level": 201, "weight": 3, "hecke_orbit": 1, "hecke_orbit_code": 755964575945, "dim": 220, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 22, "char_parity": -1, "char_degree": 10, "char_conductor": 67, "char_orbit_label": "l", "char_is_real": false, "Nk2": 1809, "analytic_conductor": 5.476853313641968, "level_radical": 201, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [201, 22, [68, 136], [22, 3]], "inner_twist_count": 2, "level_primes": [3, 67], "conrey_indexes": [43, 52, 58, 70, 94, 109, 112, 139, 142, 187], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 22, "sato_tate_group": "2.2.3.c22", "trace_display": [0, 0, 0, 0], "traces": [220, 0, 0, 52, 0, 0, 0, 66, 66, -162, 0, 0, 0, -72, 54, -116, 14, 0, -84, 0, -48, 78, 82, -36, 62, 100, 0, -154, 52, 0, -88, 770, -36, 0, 180, 42, -304, 0, 72, -1066, 330, 0, 770, 0, 0, -242, -616, 0, -146, 858, 0, 264, -286, 0, -62, -1484, -660, -352, -634, -504, -352, 124, -132, -1226, 196, 0, 156, -192, 66, 1144, 280, 264, 552, 352, 396, 400, -176, 528, 682, 1848, -198, 728, 246, -1320, 0, -1120, 0, 1120, 448, 486, -128, 604, 72, 704, -462, 144, 0, -176, 0, -1774, 1848, 192, 854, -652, 0, 260, -570, 0, -1584, 2420, -792, 1144, -1606, -636, -2288, -3938, 66, -1980, 1232, 0, 24, -4098, 288, 594, -1056, 480, -1262, 638, 336, -396, -408, -990, 0, 248, 36, 924, -1408, -120, -22, -278, 0, 968, 376, 282, 2970, 220, 2112, 4190, 726, 876, -2214, 5038, -372, 4466, 3056, -672, 1056, 502, 312, -2876, 2420, 0, 52, 0, 0, 1540, -1488, 2376, -2142, -476, -276, 0, -898, -1044, 1540, -2750, 1056, -2552, 2024, 0, -822, 2200, -504, -968, -1100, 0, -3784, 736, 144, 2344, 0, 0, 1532, 780, -198, -720, 0, -234, 150, 0, -48, -3012, 1232, 1056, -3342, 506, -246, 1056, -2508, 1632, -452, 0, 0, 3344, -406, 108, 4868, -1348, 0, -3744, 3080, -852, 1132, -776, -648, 3066, -2320, 0, -550, 300, 0, -1848, 462, -300, 5016, -6016, 336, -9700, 0, -1800, -108, -880, 0, 154, -5808, -2772, -2706, -2370, -2376, -4802, -1100, -2772, -1232, -6666, -360, 3340, -4294, -1056, -418, -4884, -222, -1342, 664, 2508, 506, 5562, 0, -308, 132, 0, -176, 3936, 1584, 58, 2816, 1584, 5230, 4378, 594, -462, -2728, 2664, 1110, 5558, 156, 11264, 458, 2310, -452, 7534, 1188, -534, 9238, 3342, 6248, -4444, 108, 0, 2552, 7656, -1326, -1584, -300, 3286, -5536, 0, -46, -10122, 0, -14740, -814, -10098, -2970, -1540, -540, 176, -5776, 660, -5632, -1496, 1452, -840, -206, 468, -1518, -3542, 1272, -3598, 418, 1764, -2640, 6338, 318, 0, 1642, -1488, 3894, -704, -3996, 3344, 2782, 0, 594, -382, 252, 5192, 880, 1584, 5184, 862, 576, -1752, 6358, -4176, 3388, 5788, -1284, 2816, 3964, 228, -2130, 17886, 0, 11348, 0, -2640, 4576, -1640, 0, -6422, 1548, -2736, 0, 4224, 84, 770, -1650, 0, -7282, 7216, -1584, -6394, 1848, 2910, -1078, -10450, 0, 2508, 898, 144, 6742, 0, -3168, 2664, -3326, -462, 594, 0, -492, -2068, 0, -2088, -672, 440, 0, -2360, 638, -768, 2948, -1276, 6120, 1266, 8976, 0, 1584, 330, -288, -1288, -3230, 0, -3560, 4730, -2706, 7426, 5162, -2100, 7674, -4166, -1716, -2156, -9108, 0, -7898, -6732, -4344, 14498, -5896, 6702, -4048, 0, -750, 2466, 4290, -8976, 3674, -3256, -1386, -9834, 2296, 0, -1772, 2068, -1716, 1760, -16808, -564, 2744, -9712, -396, -11902, -3474, -528, 2068, -7554, -1254, -6550, 3138, 0, -12294, -7736, 2244, -704, 6130, 1056, -880, 6688, 0, 3650, -1378, 528, -924, 4532, 1890, 3498, 8372, 0, 1078, 1944, 2772, 5008, -6450, 486, -7290, 13232, 1110, 7942, -19052, 5976, 0, 11176, 5874, -19722, -286, -1356, 942, -6232, 0, 4410, -3756, 3696, -11968, -2398, -1980, -6820, -6644, -1632, -8294, -18482, 264, -16676, 792, 2904, 266, -4814, 7248, 3564, -1518, 3324, -3206, 1056, 1110, -1320, 1440, -6348, 0, 5434, -588, -13728, -1056, -72, 1056, 210, 3432, -330, -6318, 426, 8338, -330, 528, 10532, 6330, 5088, -2840, 29040, -4080, 14982, 11206, 3390, 4234, 15060, -4512, 6110, 8162, 5940, 16120, 0, 0, 13332, 12332, 3960, 834, 7122, -2400, 0, 11552, -744, 10318, -3278, 3168, -11836, 9636, -3168, -1650, 4664, 1326, 6226, 4290, 0, -7612, 3260, 4536, 2394, 0, -1584, 416, -3602, -528, 10760, 0, -4326, 5174, 0, -1722, -3736, 2354, 792, -5646, -6248, 456, 11858, -3828, 2292, 2498, 6424, 0, 1650, -5034, -2178, 8152, -4218, 0, -9672, 4884, -10392, -5234, -908, -4896, -9964, -11556, -3432, -1298, -25872, 0, -11418, -12672, -14904, 8074, -9236, -1236, 3428, 0, -6720, -11934, -10626, 264, 198, 6908, 0, -9966, -23810, -7128, -2250, -3916, -7854, 440, -24332, -402, -3522, -13328, 528, -5456, -7054, 1272, -3630, -12300, 2046, 1146, 12562, 0, 12336, 4644, 1782, 4488, 13800, 0, 3204, -6270, 4752, 11420, -4288, 594, 4686, -330, 2430, -2332, -15218, -4704, -11374, 5236, 6930, -1532, -4110, 528, -668, 15624, 1428, -2816, 7414, 13020, 0, 726, 3564, 3186, 1122, 3876, 9702, 6360, 0, -7274, 11228, 1848, 11726, 8294, 1584, -6006, 12012, 3840, -5962, -10122, 4026, 8470, 4950, 2904, -236, 842, 9480, -6094, 21032, 594, 564, 1716, 12816, -2486, -5270, -5334, 0, -3576, -204, 17600, -1056, -6024, 4180, 490, 12012, 2046, -27172, 186, 4202, 14278, 3168, 1466, 11982, 5304, -5852, -5390, 0, -308, 19022, 3156, -222, 8634, -15090, -4630, 16258, 1980, 1232, 0, -7920, -1496, 530, 3168, 4740, -11112, 60, 0, 12208, -924, -1100, 3388, 4752, -4752, 13706, -3168, 884, 18150, 13248, -308, 8162, 0, 25982, -5250, -192, 1816, -6864, -12672, 38, 1494, -1122, 1852, -5258, -1344, -14940, 0, -10704, 4940, -7612, 1056, -2418, -3014, 324, -4290, -3696, 11280, 3008, -5588, -7128, 12496, -5992, -1662, -9778, -2528, -15576, 3622, -29766, -6990, 20186, -4208, -5904, -11318, 9356, -5676, -4950, -8620, 0, 3080, -19888, -216, -6974, -9614, 3276, 16980, 0, -1662, -3460, -3718, -2640, 6666, 19822, -6996, 3762, -4420, -13662, 2448, 3520, 2376, 5786, -9746, -2352, 7424, -29778, 132, -10692, -2418, -432, 792, -23654, -6468, 4410, 16294, 0, -9256, -2012, 3102, 7260, 15254, 8448, 2682, -15092, 2838, 11500, -4868, -2178, -2376, -8602, 1824, -12458, 5808, 2688, -14674, -5796, 0, -22802, -10492, 2376, -7232, 25584, 4350, -40590, -11418, 1824, 0, 16368, 5940, -2658, -17006, 6132, -8838, -20924, 0, -16260, -10526, 14784, -2090, -14410, -3366, -18018, 13618, -576, -5610, -9586, -5016, -11022, 3322, 19668, -10508, -25354, 3642, -1210, 10142, 9816, 2998, -5038, 6522, 9790, 7072, -2202, 0, 42012, 3264, 2640, -6182, -11424, 15004, 22698, 0, 15334, -7342, 3096, -5016, 13772, 4224, 4920, 7266, 276, -4752, 24310, -2064, -9702, 6470, 2982, -1990, 8328, -3504, 5654, 12870, 25080, -10680, 0, -11880, 24816, 33370, 0, 18820, -2878, 72, 0, -13660, 282, 12320, 33418, 1056, 2046, 20878, -9504, 24438, 27346, 7800, 8118, 14982, -6270, 14124, 7170, 14088, 21676, -7304, -11088, 1178, 17488, 0, 18582], "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, 67, 6, -1, 22, 0]], "char_orbit_index": 12, "prim_orbit_index": 6, "minimal_twist": "201.3.l.a", "char_is_minimal": true, "conrey_index": 43, "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}