SOLVE PUZZLE #13337

+==============================================================================+
|  DECRYPTION STATION — PUZZLE #13337                                |
+==============================================================================+

  CIPHER TYPE:     LENSING
  SECURITY LEVEL:  7/7

  STATUS:          [ACTIVE — AWAITING DECRYPTION]


  MISSION BRIEFING
  ----------------
A compound diff-7 puzzle: NURBS baseline surface, gravitational lensing distortion, wave ripple, and XOR-encrypted pixel font payload. Four layers to peel back.

  INTERCEPTED DATA
  ----------------





> title:
  The Lensing



> grid size:
  64



> z:
  [[1.6, 1.6638, 1.7157, 1.746, 1.748, 1.7194, 1.6625, 1.5839, 1.4936, 1.4031, 1.324, 1.2664, 1.2367, 1.2374, 1.266, 1.316, 1.3775, 1.4388, 1.4884, 1.5162, 1.5158, 1.4848, 1.4255, 1.3445, 1.2517, 1.1588, 1.0773, 1.0173, 0.9852, 0.9834, 1.0096, 1.0572, 1.1163, 1.1752, 1.2223, 1.2477, 1.2449, 1.2115, 1.1497, 1.0663, 0.9711, 0.8758, 0.7919, 0.7294, 0.6949, 0.6907, 0.7145, 0.7597, 0.8163, 0.8728, 0.9175, 0.9406, 0.9353, 0.8994, 0.8353, 0.7495, 0.6519, 0.5541, 0.4678, 0.4029, 0.366, 0.3594, 0.3807, 0.1235], [1.5636, 1.6282, 1.6809, 1.7119, 1.7146, 1.6868, 1.6306, 1.5527, 1.463, 1.3731, 1.2947, 1.2376, 1.2085, 1.2097, 1.2389, 1.2894, 1.3514, 1.4132, 1.4632, 1.4916, 1.4916, 1.461, 1.402, 1.3214, 1.229, 1.1364, 1.0553, 0.9955, 0.9637, 0.9622, 0.9886, 1.0364, 1.0957, 1.1548, 1.2021, 1.2277, 1.2249, 1.1916, 1.13, 1.0466, 0.9515, 0.8562, 0.7723, 0.7098, 0.6753, 0.6711, 0.6948, 0.7399, 0.7964, 0.8528, 0.8974, 0.9202, 0.9148, 0.8787, 0.8144, 0.7283, 0.6305, 0.5324, 0.4458, 0.3806, 0.3434, 0.3364, 0.3574, 0.0998], [1.4854, 1.5507, 1.6042, 1.636, 1.6394, 1.6122, 1.5567, 1.4795, 1.3904, 1.3011, 1.2233, 1.1669, 1.1384, 1.1401, 1.1698, 1.2208, 1.2833, 1.3456, 1.3961, 1.4248, 1.4253, 1.3951, 1.3365, 1.2563, 1.1642, 1.0719, 0.9911, 0.9316, 0.9001, 0.8988, 0.9255, 0.9735, 1.033, 1.0923, 1.1397, 1.1655, 1.1629, 1.1297, 1.0681, 0.9849, 0.8898, 0.7945, 0.7107, 0.6482, 0.6136, 0.6093, 0.633, 0.678, 0.7345, 0.7908, 0.8352, 0.8579, 0.8523, 0.8161, 0.7515, 0.6652, 0.5671, 0.4688, 0.382, 0.3165, 0.2789, 0.2716, 0.2923, 0.0346], [1.3808, 1.4469, 1.5011, 1.5336, 1.5377, 1.5112, 1.4563, 1.3798, 1.2913, 1.2027, 1.1254, 1.0696, 1.0416, 1.0439, 1.0741, 1.1256, 1.1886, 1.2514, 1.3023, 1.3315, 1.3323, 1.3025, 1.2443, 1.1645, 1.0727, 0.9808, 0.9003, 0.8411, 0.8098, 0.8088, 0.8357, 0.884, 0.9436, 1.0031, 1.0507, 1.0766, 1.0742, 1.041, 0.9796, 0.8964, 0.8014, 0.7061, 0.6223, 0.5598, 0.5253, 0.521, 0.5446, 0.5895, 0.6459, 0.7021, 0.7464, 0.769, 0.7633, 0.7269, 0.6621, 0.5756, 0.4773, 0.3787, 0.2917, 0.2259, 0.188, 0.1804, 0.2007, -0.0569], [1.2715, 1.3383, 1.3932, 1.4264, 1.4312, 1.4053, 1.3511, 1.2751, 1.1873, 1.0992, 1.0226, 0.9673, 0.9399, 0.9427, 0.9734, 1.0254, 1.0889, 1.1521, 1.2035, 1.2331, 1.2343, 1.2049, 1.1471, 1.0676, 0.9762, 0.8845, 0.8043, 0.7454, 0.7145, 0.7137, 0.7408, 0.7893, 0.8492, 0.9088, 0.9566, 0.9827, 0.9803, 0.9473, 0.886, 0.8029, 0.7079, 0.6127, 0.5289, 0.4665, 0.4319, 0.4276, 0.4512, 0.4961, 0.5524, 0.6085, 0.6527, 0.6751, 0.6693, 0.6327, 0.5678, 0.4811, 0.3826, 0.2838, 0.1964, 0.1304, 0.0923, 0.0844, 0.1044, -0.1531], [1.18, 1.2475, 1.3031, 1.337, 1.3425, 1.3173, 1.2637, 1.1883, 1.1011, 1.0136, 0.9375, 0.8828, 0.8559, 0.8592, 0.8904, 0.9429, 1.0068, 1.0705, 1.1223, 1.1523, 1.154, 1.1249, 1.0675, 0.9883, 0.8973, 0.8059, 0.726, 0.6674, 0.6367, 0.6362, 0.6636, 0.7123, 0.7723, 0.8322, 0.8801, 0.9063, 0.9041, 0.8713, 0.81, 0.727, 0.6321, 0.537, 0.4532, 0.3908, 0.3562, 0.3519, 0.3754, 0.4203, 0.4765, 0.5325, 0.5767, 0.599, 0.593, 0.5563, 0.4912, 0.4044, 0.3056, 0.2066, 0.1191, 0.0528, 0.0144, 0.0062, 0.026, -0.2311], [1.1249, 1.1931, 1.2494, 1.2839, 1.2901, 1.2655, 1.2125, 1.1378, 1.0511, 0.9642, 0.8887, 0.8344, 0.8081, 0.8119, 0.8436, 0.8966, 0.9609, 1.0251, 1.0773, 1.1077, 1.1097, 1.0811, 1.024, 0.9452, 0.8544, 0.7634, 0.6838, 0.6255, 0.595, 0.5948, 0.6224, 0.6713, 0.7316, 0.7916, 0.8397, 0.8661, 0.864, 0.8313, 0.7701, 0.6872, 0.5924, 0.4973, 0.4136, 0.3512, 0.3166, 0.3123, 0.3358, 0.3806, 0.4368, 0.4928, 0.5368, 0.5591, 0.5529, 0.5161, 0.4509, 0.3638, 0.2649, 0.1658, 0.078, 0.0115, -0.0271, -0.0356, -0.0161, -0.2727], [1.116, 1.1849, 1.2418, 1.277, 1.2838, 1.2598, 1.2074, 1.1333, 1.0472, 0.9608, 0.8858, 0.8321, 0.8062, 0.8106, 0.8427, 0.8962, 0.961, 1.0255, 1.0782, 1.109, 1.1114, 1.0831, 1.0264, 0.9479, 0.8575, 0.7668, 0.6875, 0.6294, 0.5992, 0.5992, 0.6271, 0.6762, 0.7367, 0.7969, 0.8452, 0.8717, 0.8698, 0.8371, 0.7761, 0.6933, 0.5985, 0.5035, 0.4199, 0.3575, 0.323, 0.3186, 0.3421, 0.3869, 0.4431, 0.499, 0.5429, 0.5651, 0.5588, 0.5219, 0.4565, 0.3694, 0.2703, 0.1709, 0.083, 0.0163, -0.0226, -0.0313, -0.0121, -0.2679], [1.1522, 1.2217, 1.2793, 1.3151, 1.3224, 1.2991, 1.2473, 1.1737, 1.0881, 1.0023, 0.9278, 0.8746, 0.8493, 0.8541, 0.8867, 0.9406, 1.0058, 1.0708, 1.1238, 1.1551, 1.1579, 1.1299, 1.0736, 0.9954, 0.9053, 0.8149, 0.7359, 0.6781, 0.6482, 0.6484, 0.6765, 0.7258, 0.7865, 0.8469, 0.8954, 0.922, 0.9203, 0.8878, 0.8268, 0.7441, 0.6495, 0.5545, 0.4709, 0.4086, 0.3741, 0.3697, 0.3933, 0.438, 0.4941, 0.55, 0.5939, 0.616, 0.6096, 0.5726, 0.5071, 0.4198, 0.3206, 0.2211, 0.1329, 0.066, 0.027, 0.0181, 0.037, -0.218], [1.2215, 1.2917, 1.3499, 1.3863, 1.3943, 1.3715, 1.3203, 1.2472, 1.1622, 1.0769, 1.003, 0.9502, 0.9254, 0.9306, 0.9637, 1.018, 1.0837, 1.1491, 1.2025, 1.2341, 1.2373, 2.2097, 1.1537, 1.0759, 0.9861, 0.896, 0.8173, 0.7597, 0.7301, 0.7306, 0.7589, 0.8084, 0.8693, 0.9299, 0.9785, 1.0053, 1.0037, 0.9713, 0.9105, 0.8279, 0.7333, 0.6385, 0.5549, 0.4927, 0.4582, 0.4539, 0.4774, 0.5221, 0.5782, 0.6341, 0.6779, 0.6999, 0.6935, 0.6564, 0.5908, 0.5034, 0.404, 0.3043, 0.216, 0.1489, 0.1097, 0.1006, 0.1193, -0.1346], [1.3045, 1.3753, 1.4341, 1.4711, 1.4796, 1.4574, 1.4067, 1.3342, 1.2497, 1.1649, 1.0915, 1.0392, 1.0148, 1.0205, 1.0541, 1.1088, 1.1749, 1.2407, 1.2945, 1.3265, 1.33, 1.3028, 1.2471, 1.1696, 1.0801, 0.9903, 0.9119, 0.8546, 0.8252, 0.8259, 0.8545, 0.9042, 0.9653, 1.0261, 1.0749, 1.1019, 1.1004, 1.0682, 1.0075, 0.925, 0.8305, 0.7357, 0.6523, 0.59, 0.5556, 0.5513, 0.5748, 0.6196, 0.6757, 0.7315, 0.7753, 0.7972, 0.7908, 0.7535, 0.6879, 0.6003, 0.5009, 0.4011, 0.3126, 0.2454, 0.2059, 0.1966, 0.2152, -0.0375], [1.3781, 1.4494, 1.5088, 1.5464, 1.5555, 1.5338, 1.4837, 1.4117, 1.3277, 1.2434, 1.1704, 1.1187, 1.0947, 1.1009, 1.1349, 1.19, 1.2565, 1.3227, 1.3769, 1.4092, 1.4131, 1.3862, 1.3309, 1.2537, 1.1645, 1.075, 0.9969, 0.9399, 0.9107, 0.9117, 0.9404, 0.9904, 1.0517, 1.1127, 1.1617, 1.1888, 1.1875, 1.1554, 1.0948, 1.0124, 0.918, 0.8233, 0.7399, 0.6778, 0.6434, 0.6391, 0.6627, 0.7075, 0.7635, 0.8193, 0.8631, 0.885, 0.8785, 0.8412, 0.7754, 0.6878, 0.5882, 0.4883, 0.3997, 0.3323, 0.2928, 0.2833, 0.3016, 0.0503], [1.4215, 1.4935, 1.5534, 1.5916, 1.6012, 1.58, 1.5304, 1.4589, 1.3755, 1.2916, 1.2192, 1.1678, 1.1443, 1.1509, 1.1853, 1.2409, 1.3078, 1.3744, 2.4289, 1.4616, 2.4659, 2.4393, 2.3843, 1.3074, 2.2185, 1.1293, 1.0514, 0.9947, 0.9658, 0.967, 0.996, 1.0462, 1.1077, 1.1688, 1.218, 1.2453, 1.2441, 1.2122, 1.1517, 1.0694, 0.9752, 0.8805, 0.7972, 0.7351, 0.7008, 0.6966, 0.7202, 0.765, 0.8211, 0.8768, 0.9206, 0.9425, 0.9359, 0.8986, 0.8327, 0.745, 0.6454, 0.5453, 0.4566, 0.3891, 0.3494, 0.3398, 0.358, 0.1082], [1.4212, 1.4937, 1.5542, 1.5929, 1.603, 1.5824, 1.5333, 1.4623, 1.3793, 1.2959, 1.2239, 1.173, 1.15, 1.157, 2.1918, 2.2478, 2.3151, 2.382, 2.4369, 2.47, 1.4746, 1.4483, 1.3936, 2.317, 2.2285, 1.1395, 2.0619, 1.0055, 0.9768, 0.9782, 1.0074, 1.0578, 1.1195, 1.1809, 1.2302, 1.2577, 1.2567, 1.2249, 1.1646, 1.0824, 0.9882, 0.8937, 0.8105, 0.7485, 0.7142, 0.71, 0.7337, 0.7785, 0.8346, 0.8903, 0.9341, 0.956, 0.9494, 0.912, 0.8461, 0.7584, 0.6586, 0.5585, 0.4697, 0.4021, 0.3622, 0.3525, 0.3705, 0.1225], [1.3737, 1.4468, 1.5078, 1.547, 2.5577, 2.5375, 2.4889, 2.4184, 2.3358, 2.2529, 2.1813, 2.1309, 2.1083, 2.1157, 2.1509, 2.2073, 2.2749, 2.3422, 1.3975, 1.4309, 1.4358, 1.4099, 1.3555, 1.2792, 1.191, 2.1023, 1.0249, 0.9687, 0.9403, 0.942, 0.9714, 1.022, 1.0839, 1.1455, 1.195, 2.2226, 2.2218, 2.1901, 2.13, 2.0479, 1.9539, 1.8594, 1.7763, 1.7144, 1.6802, 1.6761, 1.6997, 1.7446, 1.8007, 1.8565, 1.9003, 1.9221, 1.9155, 1.8781, 0.8122, 0.7244, 0.6245, 0.5244, 0.4355, 0.3678, 0.3278, 0.318, 0.3359, 0.0898], [1.2868, 1.3604, 1.4219, 1.4616, 2.4728, 2.4531, 2.405, 2.3349, 2.2528, 2.1704, 2.0992, 2.0492, 2.0269, 2.0348, 1.0704, 2.1271, 2.1951, 1.2628, 1.3184, 1.3522, 1.3574, 1.3318, 1.2777, 1.2017, 1.1137, 1.0254, 1.9483, 0.8923, 0.8641, 0.866, 0.8957, 0.9465, 1.0086, 1.0703, 1.12, 2.1479, 2.1472, 2.1156, 2.0556, 1.9737, 1.8798, 1.7855, 1.7024, 1.6406, 1.6065, 1.6024, 1.6262, 1.6711, 1.7272, 1.783, 1.8268, 1.8487, 1.8421, 1.8046, 0.7387, 0.6508, 0.551, 0.4507, 0.3618, 0.294, 0.2539, 0.244, 0.2618, 0.0177], [1.1775, 1.2516, 1.3136, 1.3538, 2.3654, 2.3462, 2.2985, 2.2289, 2.1473, 2.0652, 1.9945, 1.9449, 1.923, 1.9312, 1.9672, 1.0243, 2.0927, 1.1607, 1.2167, 1.2507, 1.2563, 1.231, 1.1772, 1.1015, 1.0138, 0.9257, 0.8489, 0.7932, 0.7652, 0.7674, 0.7972, 0.8483, 0.9106, 0.9725, 1.0224, 2.0504, 2.0498, 2.0185, 1.9586, 1.8768, 1.783, 1.6888, 1.6059, 1.5441, 1.5101, 1.5061, 1.5299, 1.5749, 1.6311, 1.6869, 1.7307, 1.7526, 1.746, 1.7086, 0.6426, 0.5547, 0.4548, 0.3546, 0.2656, 0.1977, 0.1576, 0.1475, 0.1653, -0.0765], [1.068, 1.1426, 1.2051, 1.2457, 2.2578, 2.2391, 2.1918, 2.1226, 2.0414, 1.9598, 1.8894, 1.8402, 1.8188, 1.8274, 1.8637, 1.9212, 0.9899, 1.0582, 1.1145, 1.1489, 1.1548, 1.1298, 1.0763, 1.0009, 0.9135, 0.8256, 0.749, 0.6936, 0.6659, 0.6682, 0.6983, 0.7496, 0.8121, 0.8742, 0.9243, 1.9524, 1.9521, 1.9209, 1.8611, 1.7795, 1.6858, 1.5917, 1.5089, 1.4472, 1.4133, 1.4094, 1.4333, 1.4783, 1.5346, 1.5905, 1.6343, 1.6562, 1.6496, 1.6122, 0.5462, 0.4584, 0.3584, 0.2581, 0.1691, 0.1012, 0.061, 0.0509, 0.0686, -0.1708], [0.9806, 1.0557, 1.1187, 1.1597, 2.1723, 2.154, 2.1071, 2.0384, 1.9575, 1.8763, 1.8064, 1.7575, 1.7364, 1.7454, 1.7821, 1.8399, 0.909, 0.9776, 1.0343, 1.069, 1.0751, 2.0505, 0.9972, 0.9221, 0.8349, 0.7473, 0.671, 1.6158, 0.5884, 0.5909, 1.6213, 0.6727, 0.7354, 0.7977, 0.848, 1.8763, 1.8761, 1.8451, 1.7855, 1.704, 1.6104, 1.5165, 1.4338, 1.3722, 1.3384, 1.3346, 1.3586, 1.4036, 1.46, 1.5159, 1.5598, 1.5818, 1.5752, 1.5378, 0.4718, 0.384, 0.284, 0.1837, 0.0947, 0.0267, -0.0135, -0.0236, -0.006, -0.2428], [0.9324, 1.0079, 1.0713, 1.1128, 2.1258, 2.1079, 2.0615, 1.9931, 0.9127, 0.8318, 0.7622, 0.7138, 0.693, 0.7024, 0.7394, 0.7975, 0.8669, 0.9359, 0.9929, 1.0279, 1.0343, 1.0099, 0.957, 0.8822, 0.7952, 0.7079, 0.6318, 1.5769, 1.5496, 1.5525, 0.583, 0.6346, 0.6976, 0.7601, 0.8105, 1.839, 1.839, 1.8081, 1.7487, 0.6673, 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> baseline:
  {'type': 'nurbs', 'control_net': [[0.0, 0.3, 0.3, 0.0], [0.3, 1.4, 1.0, 0.3], [0.3, 1.0, 1.4, 0.3], [0.0, 0.3, 0.3, 0.0]], 'weights': [[1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0]], 'knot_u': [0, 0, 0, 0, 1, 1, 1, 1], 'knot_v': [0, 0, 0, 0, 1, 1, 1, 1], 'degree_u': 2, 'degree_v': 2, 'num_control_points': [4, 4], 'method': 'Cox-de Boor recursion'}



> lensing:
  {'mass_position': [21, 18], 'strength': 7.98, 'model': "Simplified point-mass: r' = r + S/r"}



> wave:
  {'amplitude': 0.2, 'frequency_x': 4, 'frequency_y': 5}



> encryption:
  {'method': 'xor', 'hint': 'The decoded bitmap shows XOR-encrypted characters. XOR key is derived from mass position: key byte = (mass_x + mass_y) mod 256, repeated.'}





> hint:
  THE LENSING — difficulty 7 compound puzzle.
NURBS baseline: 4x4 control grid, degree (2,2). Use Cox-de Boor recursion to compute basis functions.
Lensing mass at (21,18), strength=8.0. Inverse: solve r' = r + S/r for r.
Wave: sin(x*4/N*2π)*0.2 + cos(y*5/N*2π)*0.2.
XOR key: mass_x + mass_y = 39 -> byte 39, repeated.



> answer format:
  lowercase decoded message





  [INTEL] Pool fill: lensing diff 3


  DECRYPTION INPUT
  ----------------


    
    > ENTER PLAINTEXT: 
    > OPERATOR ID (optional): 
    


    





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