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  1. df <- structure(c(-1.55760506819855, -7.26042708423989, -7.96966868031283,
  2. 6.31346288734674, 14.5878101643382, 10.8522705672413, 13.1058012205262,
  3. 14.3474235430659, 17.5762275668062, 25.7913759713317, 23.9921078189046,
  4. 21.1777419757972, 20.3476802067184, 19.5014099304834, 17.6385066261237,
  5. 18.7586358800501, 16.8615550660524, 6.94711465135815, -2.98474087681293,
  6. 0.0660275317667738, 3.09955364700724, -5.88393427245341, -11.8841140978425,
  7. -8.9005708349242, -5.93279801198049, -6.98019944680544, -10.0420913871269,
  8. -6.1177050174376, 4.79381067601637, 13.6933856917579, 11.5820254619336,
  9. -6.53919302433796, -21.6691254098423, -19.8065644558863, -13.9502448111288,
  10. -15.098848046027, -21.2510079352704, -16.4053159697413, -6.56032707855615,
  11. -12.7145655410635, -29.8665310678672, -38.0147050292841, -34.1575568091242,
  12. -25.293550261088, -22.4211502447498, -7.53882921762958, 7.35492614032783,
  13. 3.26160829376909, -6.81731776556644, -5.8804210967883, 2.07368867568001,
  14. 2.04635493498738, -1.96113224437643, 4.05245772147269, 18.088289900965,
  15. 20.1474580018546, -1.76902127255595, -24.6602136443644, -34.5252724386738,
  16. -50.363443497944, -48.1740698142061, -20.9565958608942, -3.7105716072771,
  17. 5.56434380068877, 38.8683787080965, 90.2016459813717, 114.564140413776,
  18. 130.955736517626, 164.376186713536, 191.825119925558, 197.302040589822,
  19. 191.806328082918, 168.337236574887, 125.893895310216, 82.4753093188981,
  20. 40.0803605581211, -1.29219051623265, -47.6437029506013, -75.975652870937,
  21. -101.289630641217, -132.587337609818, -151.870582451693, -151.141277115563,
  22. -151.401432386837, -161.653153078091, -167.898632860393, -168.140148749758,
  23. -148.380055264456, -115.620778269765, -97.8648085280898, -75.114694973172,
  24. -39.3730377282053, -18.6424808885351, -19.9257050904523, 7.77458011162588,
  25. 41.455644036697, 35.1147428137355, 13.7491274392097, 10.3560519309525,
  26. 26.9327815534076, 37.4766010889091, 29.9848231295083, 20.4547963636529,
  27. 28.8839138320259, 36.2696211267817, 25.6094245085974, 15.9008989160694,
  28. 16.141695842351, 23.3295510541372, 30.4622921286642, 31.537845784757,
  29. 12.5542449846802, -13.4903642159511, -3.59771609205666, 16.2305810320159,
  30. 16.9930507483406, 16.6883541966007, 34.3152953423392, 46.8728258848672,
  31. 35.36004977864, 27.7762273530283, 33.1207790166591, 31.3932885336536,
  32. 35.5935058604475, 48.7213495331842, -4.70947107291979, -3.91321060705822,
  33. 0.863921144062975, 0.62193061640396, -8.63910618869646, -18.9190425099749,
  34. -24.2176598928225, -25.5346675213863, -26.8697018198272, -24.2223263254755,
  35. -19.5920318356965, -14.9782368294777, -8.38028816381053, 4.20253795599958,
  36. 11.771034733709, 18.3260632698391, 27.8685507831497, 29.3994885701973,
  37. 20.919929708144, 23.4309865068487, 30.9338277170617, 27.4296755023577,
  38. 25.9198021831679, 29.4055267621714, 26.8882112408245, 17.3692567376709,
  39. 10.8500994196628, 5.33220625836978, 1.81707062356236, 5.30620772719848,
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  42. -11.8446859208272, -25.2281658270595, -40.5906739772449, -42.9308231282508,
  43. -35.2472703362794, -37.5387220230917, -45.8039389579245, -36.0417411389091,
  44. -26.2510125582042, -32.4307058352461, -41.5798467028422, -40.6975383311151,
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  47. -76.2368893700031, -77.0104965897789, -59.7489334872269, -23.4524924163224,
  48. 5.87842126876737, 16.2432884330287, 47.6414756969697, 104.072235294282,
  49. 131.534705254145, 144.027909910614, 178.550760740706, 217.102057531817,
  50. 232.680489878102, 227.284639004679, 196.912979917447, 148.56388387552,
  51. 103.235621182162, 69.9263642894345, 26.634191210623, -22.6429107661792,
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  57. -16.2510963518227, -5.82565009842762, 0.555732711536736, -10.1094359366172,
  58. -12.8235791529612, 15.410951733492, 32.5918839381676, 19.7170298528418,
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  74. -47.5030045321581, -25.3979780690967, -12.2640129766428, 12.8992857948754,
  75. 47.0922038680746, 74.3149143681247, 101.567475193261, 134.84982663785,
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  82. -53.046334908851, -8.3971676743663, 36.2376265761683, 31.855291927618,
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  88. 19.0789449761986, 29.6598805636662, 46.1699102359526, 55.607869053062,
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  91. 14.1921308601178, 18.8804815732468, 15.4947147004883, -3.96431446750921,
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  95. 43.8925839127706, 40.876228247343, 38.8510561162259, 33.8172238306874,
  96. 24.7749612856852, 23.724571243808, 22.6664283027057, 12.6009775484195,
  97. 3.52873289823485, 0.450275137709886, -1.63375034230137, -9.72263610180278,
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