 {   7.857143,   0.000000 }, // alpha =  90.000000 [  0]
 {   7.857143,   0.500000 }, // alpha =  86.358815 [  1]
 {   7.857143,   1.142857 }, // alpha =  81.724107 [  2]
 {   7.714286,   1.714286 }, // alpha =  77.471192 [  3]
 {   7.571429,   2.285714 }, // alpha =  73.201628 [  4]
 {   7.357143,   2.857143 }, // alpha =  68.776343 [  5]
 {   7.142857,   3.357143 }, // alpha =  64.826475 [  6]
 {   6.857143,   3.857143 }, // alpha =  60.642246 [  7]
 {   6.642857,   4.428571 }, // alpha =  56.309932 [  8]
 {   6.285714,   4.857143 }, // alpha =  52.305760 [  9]
 {   5.857143,   5.214286 }, // alpha =  48.323120 [ 10]
 {   5.500000,   5.714286 }, // alpha =  43.905309 [ 11]
 {   5.000000,   6.142857 }, // alpha =  39.143986 [ 12]
 {   4.500000,   6.500000 }, // alpha =  34.695154 [ 13]
 {   4.000000,   6.785714 }, // alpha =  30.518231 [ 14]
 {   3.500000,   7.000000 }, // alpha =  26.565051 [ 15]
 {   3.000000,   7.214286 }, // alpha =  22.579573 [ 16]
 {   2.500000,   7.500000 }, // alpha =  18.434949 [ 17]
 {   1.857143,   7.571429 }, // alpha =  13.781597 [ 18]
 {   1.357143,   7.714286 }, // alpha =   9.977713 [ 19]
 {   0.785714,   7.857143 }, // alpha =   5.710593 [ 20]
 {   0.142857,   7.857143 }, // alpha =   1.041627 [ 21]
 {  -0.428571,   7.857143 }, // alpha =  -3.122130 [ 22]
 {  -1.000000,   7.857143 }, // alpha =  -7.253195 [ 23]
 {  -1.571429,   7.714286 }, // alpha = -11.513831 [ 24]
 {  -2.142857,   7.571429 }, // alpha = -15.802514 [ 25]
 {  -2.785714,   7.500000 }, // alpha = -20.376435 [ 26]
 {  -3.214286,   7.214286 }, // alpha = -24.015102 [ 27]
 {  -3.714286,   7.000000 }, // alpha = -27.950969 [ 28]
 {  -4.285714,   6.642857 }, // alpha = -32.828542 [ 29]
 {  -4.785714,   6.428571 }, // alpha = -36.665635 [ 30]
 {  -5.214286,   6.000000 }, // alpha = -40.992195 [ 31]
 {  -5.571429,   5.571429 }, // alpha = -45.000000 [ 32]
 {  -6.000000,   5.142857 }, // alpha = -49.398705 [ 33]
 {  -6.428571,   4.785714 }, // alpha = -53.334365 [ 34]
 {  -6.785714,   4.285714 }, // alpha = -57.724356 [ 35]
 {  -7.000000,   3.714286 }, // alpha = -62.049031 [ 36]
 {  -7.214286,   3.142857 }, // alpha = -66.459961 [ 37]
 {  -7.500000,   2.642857 }, // alpha = -70.588513 [ 38]
 {  -7.571429,   2.142857 }, // alpha = -74.197486 [ 39]
 {  -7.857143,   1.500000 }, // alpha = -79.191769 [ 40]
 {  -7.857143,   1.000000 }, // alpha = -82.746805 [ 41]
 {  -8.000000,   0.428571 }, // alpha = -86.933514 [ 42]
 {  -8.000000,  -0.285714 }, // alpha = -92.045408 [ 43]
 {  -7.857143,  -0.785714 }, // alpha = -95.710593 [ 44]
 {  -7.857143,  -1.357143 }, // alpha = -99.799849 [ 45]
 {  -7.714286,  -2.000000 }, // alpha = -104.534455 [ 46]
 {  -7.571429,  -2.500000 }, // alpha = -108.272638 [ 47]
 {  -7.357143,  -3.142857 }, // alpha = -113.131421 [ 48]
 {  -7.142857,  -3.571429 }, // alpha = -116.565051 [ 49]
 {  -6.857143,  -4.142857 }, // alpha = -121.138972 [ 50]
 {  -6.500000,  -4.642857 }, // alpha = -125.537678 [ 51]
 {  -6.142857,  -5.142857 }, // alpha = -129.936383 [ 52]
 {  -5.714286,  -5.500000 }, // alpha = -133.905309 [ 53]
 {  -5.357143,  -5.857143 }, // alpha = -137.552898 [ 54]
 {  -4.857143,  -6.285714 }, // alpha = -142.305760 [ 55]
 {  -4.500000,  -6.642857 }, // alpha = -145.885527 [ 56]
 {  -4.000000,  -7.000000 }, // alpha = -150.255119 [ 57]
 {  -3.357143,  -7.214286 }, // alpha = -155.045249 [ 58]
 {  -2.857143,  -7.357143 }, // alpha = -158.776343 [ 59]
 {  -2.428571,  -7.571429 }, // alpha = -162.216112 [ 60]
 {  -1.714286,  -7.714286 }, // alpha = -167.471192 [ 61]
 {  -1.214286,  -7.857143 }, // alpha = -171.214701 [ 62]
 {  -0.642857,  -8.000000 }, // alpha = -175.405747 [ 63]
 {   0.000000,  -8.000000 }, // alpha = 180.000000 [ 64]
 {   0.500000,  -8.000000 }, // alpha = 176.423666 [ 65]
 {   1.142857,  -7.857143 }, // alpha = 171.724107 [ 66]
 {   1.714286,  -7.714286 }, // alpha = 167.471192 [ 67]
 {   2.285714,  -7.571429 }, // alpha = 163.201628 [ 68]
 {   2.857143,  -7.357143 }, // alpha = 158.776343 [ 69]
 {   3.357143,  -7.214286 }, // alpha = 155.045249 [ 70]
 {   3.857143,  -7.000000 }, // alpha = 151.144339 [ 71]
 {   4.428571,  -6.642857 }, // alpha = 146.309932 [ 72]
 {   4.857143,  -6.285714 }, // alpha = 142.305760 [ 73]
 {   5.214286,  -5.857143 }, // alpha = 138.323120 [ 74]
 {   5.714286,  -5.500000 }, // alpha = 133.905309 [ 75]
 {   6.142857,  -5.142857 }, // alpha = 129.936383 [ 76]
 {   6.500000,  -4.642857 }, // alpha = 125.537678 [ 77]
 {   6.785714,  -4.142857 }, // alpha = 121.405164 [ 78]
 {   7.000000,  -3.571429 }, // alpha = 117.030860 [ 79]
 {   7.214286,  -3.142857 }, // alpha = 113.540039 [ 80]
 {   7.500000,  -2.500000 }, // alpha = 108.434949 [ 81]
 {   7.571429,  -2.000000 }, // alpha = 104.796762 [ 82]
 {   7.714286,  -1.357143 }, // alpha =  99.977713 [ 83]
 {   7.857143,  -0.785714 }, // alpha =  95.710593 [ 84]
 {   7.857143,  -0.285714 }, // alpha =  92.082565 [ 85]
 {   7.857143,   0.428571 }, // alpha =  86.877870 [ 86]
 {   7.857143,   1.000000 }, // alpha =  82.746805 [ 87]
 {   7.714286,   1.500000 }, // alpha =  78.996459 [ 88]
 {   7.571429,   2.142857 }, // alpha =  74.197486 [ 89]
 {   7.500000,   2.642857 }, // alpha =  70.588513 [ 90]
 {   7.214286,   3.142857 }, // alpha =  66.459961 [ 91]
 {   7.000000,   3.714286 }, // alpha =  62.049031 [ 92]
 {   6.642857,   4.285714 }, // alpha =  57.171458 [ 93]
 {   6.428571,   4.785714 }, // alpha =  53.334365 [ 94]
 {   6.000000,   5.142857 }, // alpha =  49.398705 [ 95]
 {   5.571429,   5.571429 }, // alpha =  45.000000 [ 96]
 {   5.142857,   6.000000 }, // alpha =  40.601295 [ 97]
 {   4.785714,   6.428571 }, // alpha =  36.665635 [ 98]
 {   4.285714,   6.642857 }, // alpha =  32.828542 [ 99]
 {   3.714286,   7.000000 }, // alpha =  27.950969 [100]
 {   3.142857,   7.214286 }, // alpha =  23.540039 [101]
 {   2.642857,   7.500000 }, // alpha =  19.411487 [102]
 {   2.142857,   7.571429 }, // alpha =  15.802514 [103]
 {   1.500000,   7.714286 }, // alpha =  11.003541 [104]
 {   1.000000,   7.857143 }, // alpha =   7.253195 [105]
 {   0.428571,   7.857143 }, // alpha =   3.122130 [106]
 {  -0.285714,   7.857143 }, // alpha =  -2.082565 [107]
 {  -0.785714,   7.857143 }, // alpha =  -5.710593 [108]
 {  -1.357143,   7.714286 }, // alpha =  -9.977713 [109]
 {  -2.000000,   7.571429 }, // alpha = -14.796762 [110]
 {  -2.500000,   7.500000 }, // alpha = -18.434949 [111]
 {  -3.142857,   7.214286 }, // alpha = -23.540039 [112]
 {  -3.571429,   7.000000 }, // alpha = -27.030860 [113]
 {  -4.142857,   6.785714 }, // alpha = -31.405164 [114]
 {  -4.642857,   6.500000 }, // alpha = -35.537678 [115]
 {  -5.142857,   6.142857 }, // alpha = -39.936383 [116]
 {  -5.500000,   5.714286 }, // alpha = -43.905309 [117]
 {  -5.857143,   5.214286 }, // alpha = -48.323120 [118]
 {  -6.285714,   4.857143 }, // alpha = -52.305760 [119]
 {  -6.642857,   4.428571 }, // alpha = -56.309932 [120]
 {  -7.000000,   3.857143 }, // alpha = -61.144339 [121]
 {  -7.214286,   3.357143 }, // alpha = -65.045249 [122]
 {  -7.357143,   2.857143 }, // alpha = -68.776343 [123]
 {  -7.571429,   2.285714 }, // alpha = -73.201628 [124]
 {  -7.714286,   1.714286 }, // alpha = -77.471192 [125]
 {  -7.857143,   1.142857 }, // alpha = -81.724107 [126]
 {  -8.000000,   0.500000 }, // alpha = -86.423666 [127]
 {  -8.000000,   0.000000 }, // alpha = -90.000000 [128]
 {  -8.000000,  -0.642857 }, // alpha = -94.594253 [129]
 {  -7.857143,  -1.214286 }, // alpha = -98.785299 [130]
 {  -7.714286,  -1.714286 }, // alpha = -102.528808 [131]
 {  -7.571429,  -2.428571 }, // alpha = -107.783888 [132]
 {  -7.357143,  -2.857143 }, // alpha = -111.223657 [133]
 {  -7.214286,  -3.357143 }, // alpha = -114.954751 [134]
 {  -7.000000,  -4.000000 }, // alpha = -119.744881 [135]
 {  -6.642857,  -4.500000 }, // alpha = -124.114473 [136]
 {  -6.285714,  -4.857143 }, // alpha = -127.694240 [137]
 {  -5.857143,  -5.357143 }, // alpha = -132.447102 [138]
 {  -5.500000,  -5.714286 }, // alpha = -136.094691 [139]
 {  -5.142857,  -6.142857 }, // alpha = -140.063617 [140]
 {  -4.642857,  -6.500000 }, // alpha = -144.462322 [141]
 {  -4.142857,  -6.857143 }, // alpha = -148.861028 [142]
 {  -3.571429,  -7.142857 }, // alpha = -153.434949 [143]
 {  -3.142857,  -7.357143 }, // alpha = -156.868579 [144]
 {  -2.500000,  -7.571429 }, // alpha = -161.727362 [145]
 {  -2.000000,  -7.714286 }, // alpha = -165.465545 [146]
 {  -1.357143,  -7.857143 }, // alpha = -170.200151 [147]
 {  -0.785714,  -7.857143 }, // alpha = -174.289407 [148]
 {  -0.285714,  -8.000000 }, // alpha = -177.954592 [149]
 {   0.428571,  -8.000000 }, // alpha = 176.933514 [150]
 {   1.000000,  -7.857143 }, // alpha = 172.746805 [151]
 {   1.500000,  -7.857143 }, // alpha = 169.191769 [152]
 {   2.142857,  -7.571429 }, // alpha = 164.197486 [153]
 {   2.642857,  -7.500000 }, // alpha = 160.588513 [154]
 {   3.142857,  -7.214286 }, // alpha = 156.459961 [155]
 {   3.714286,  -7.000000 }, // alpha = 152.049031 [156]
 {   4.285714,  -6.785714 }, // alpha = 147.724356 [157]
 {   4.785714,  -6.428571 }, // alpha = 143.334365 [158]
 {   5.142857,  -6.000000 }, // alpha = 139.398705 [159]
 {   5.571429,  -5.571429 }, // alpha = 135.000000 [160]
 {   6.000000,  -5.214286 }, // alpha = 130.992195 [161]
 {   6.428571,  -4.785714 }, // alpha = 126.665635 [162]
 {   6.642857,  -4.285714 }, // alpha = 122.828542 [163]
 {   7.000000,  -3.714286 }, // alpha = 117.950969 [164]
 {   7.214286,  -3.214286 }, // alpha = 114.015102 [165]
 {   7.500000,  -2.785714 }, // alpha = 110.376435 [166]
 {   7.571429,  -2.142857 }, // alpha = 105.802514 [167]
 {   7.714286,  -1.571429 }, // alpha = 101.513831 [168]
 {   7.857143,  -1.000000 }, // alpha =  97.253195 [169]
 {   7.857143,  -0.428571 }, // alpha =  93.122130 [170]
 {   7.857143,   0.142857 }, // alpha =  88.958373 [171]
 {   7.857143,   0.785714 }, // alpha =  84.289407 [172]
 {   7.714286,   1.357143 }, // alpha =  80.022287 [173]
 {   7.571429,   1.857143 }, // alpha =  76.218403 [174]
 {   7.500000,   2.500000 }, // alpha =  71.565051 [175]
 {   7.214286,   3.000000 }, // alpha =  67.420427 [176]
 {   7.000000,   3.500000 }, // alpha =  63.434949 [177]
 {   6.785714,   4.000000 }, // alpha =  59.481769 [178]
 {   6.500000,   4.500000 }, // alpha =  55.304846 [179]
 {   6.142857,   5.000000 }, // alpha =  50.856014 [180]
 {   5.714286,   5.500000 }, // alpha =  46.094691 [181]
 {   5.214286,   5.857143 }, // alpha =  41.676880 [182]
 {   4.857143,   6.285714 }, // alpha =  37.694240 [183]
 {   4.428571,   6.642857 }, // alpha =  33.690068 [184]
 {   3.857143,   6.857143 }, // alpha =  29.357754 [185]
 {   3.357143,   7.142857 }, // alpha =  25.173525 [186]
 {   2.857143,   7.357143 }, // alpha =  21.223657 [187]
 {   2.285714,   7.571429 }, // alpha =  16.798372 [188]
 {   1.714286,   7.714286 }, // alpha =  12.528808 [189]
 {   1.142857,   7.857143 }, // alpha =   8.275893 [190]
 {   0.500000,   7.857143 }, // alpha =   3.641185 [191]
 {   0.000000,   7.857143 }, // alpha =   0.000000 [192]
 {  -0.642857,   7.857143 }, // alpha =  -4.677418 [193]
 {  -1.214286,   7.857143 }, // alpha =  -8.785299 [194]
 {  -1.714286,   7.714286 }, // alpha = -12.528808 [195]
 {  -2.428571,   7.571429 }, // alpha = -17.783888 [196]
 {  -2.857143,   7.357143 }, // alpha = -21.223657 [197]
 {  -3.357143,   7.142857 }, // alpha = -25.173525 [198]
 {  -4.000000,   6.857143 }, // alpha = -30.256437 [199]
 {  -4.500000,   6.642857 }, // alpha = -34.114473 [200]
 {  -4.857143,   6.285714 }, // alpha = -37.694240 [201]
 {  -5.357143,   5.857143 }, // alpha = -42.447102 [202]
 {  -5.714286,   5.500000 }, // alpha = -46.094691 [203]
 {  -6.142857,   5.000000 }, // alpha = -50.856014 [204]
 {  -6.500000,   4.500000 }, // alpha = -55.304846 [205]
 {  -6.857143,   4.000000 }, // alpha = -59.743563 [206]
 {  -7.142857,   3.500000 }, // alpha = -63.895146 [207]
 {  -7.357143,   3.000000 }, // alpha = -67.815987 [208]
 {  -7.571429,   2.500000 }, // alpha = -71.727362 [209]
 {  -7.714286,   1.857143 }, // alpha = -76.464144 [210]
 {  -7.857143,   1.357143 }, // alpha = -80.200151 [211]
 {  -7.857143,   0.785714 }, // alpha = -84.289407 [212]
 {  -8.000000,   0.142857 }, // alpha = -88.976970 [213]
 {  -8.000000,  -0.428571 }, // alpha = -93.066486 [214]
 {  -7.857143,  -1.000000 }, // alpha = -97.253195 [215]
 {  -7.857143,  -1.571429 }, // alpha = -101.309932 [216]
 {  -7.571429,  -2.142857 }, // alpha = -105.802514 [217]
 {  -7.500000,  -2.785714 }, // alpha = -110.376435 [218]
 {  -7.214286,  -3.214286 }, // alpha = -114.015102 [219]
 {  -7.000000,  -3.714286 }, // alpha = -117.950969 [220]
 {  -6.785714,  -4.285714 }, // alpha = -122.275644 [221]
 {  -6.428571,  -4.785714 }, // alpha = -126.665635 [222]
 {  -6.000000,  -5.214286 }, // alpha = -130.992195 [223]
 {  -5.571429,  -5.571429 }, // alpha = -135.000000 [224]
 {  -5.214286,  -6.000000 }, // alpha = -139.007805 [225]
 {  -4.785714,  -6.428571 }, // alpha = -143.334365 [226]
 {  -4.285714,  -6.785714 }, // alpha = -147.724356 [227]
 {  -3.714286,  -7.000000 }, // alpha = -152.049031 [228]
 {  -3.214286,  -7.214286 }, // alpha = -155.984898 [229]
 {  -2.785714,  -7.500000 }, // alpha = -159.623565 [230]
 {  -2.142857,  -7.571429 }, // alpha = -164.197486 [231]
 {  -1.571429,  -7.857143 }, // alpha = -168.690068 [232]
 {  -1.000000,  -7.857143 }, // alpha = -172.746805 [233]
 {  -0.428571,  -8.000000 }, // alpha = -176.933514 [234]
 {   0.142857,  -8.000000 }, // alpha = 178.976970 [235]
 {   0.785714,  -7.857143 }, // alpha = 174.289407 [236]
 {   1.357143,  -7.857143 }, // alpha = 170.200151 [237]
 {   1.857143,  -7.714286 }, // alpha = 166.464144 [238]
 {   2.500000,  -7.571429 }, // alpha = 161.727362 [239]
 {   3.000000,  -7.357143 }, // alpha = 157.815987 [240]
 {   3.500000,  -7.142857 }, // alpha = 153.895146 [241]
 {   4.000000,  -6.857143 }, // alpha = 149.743563 [242]
 {   4.500000,  -6.500000 }, // alpha = 145.304846 [243]
 {   5.000000,  -6.142857 }, // alpha = 140.856014 [244]
 {   5.500000,  -5.714286 }, // alpha = 136.094691 [245]
 {   5.857143,  -5.357143 }, // alpha = 132.447102 [246]
 {   6.285714,  -4.857143 }, // alpha = 127.694240 [247]
 {   6.642857,  -4.500000 }, // alpha = 124.114473 [248]
 {   6.857143,  -4.000000 }, // alpha = 120.256437 [249]
 {   7.142857,  -3.357143 }, // alpha = 115.173525 [250]
 {   7.357143,  -2.857143 }, // alpha = 111.223657 [251]
 {   7.571429,  -2.428571 }, // alpha = 107.783888 [252]
 {   7.714286,  -1.714286 }, // alpha = 102.528808 [253]
 {   7.857143,  -1.214286 }, // alpha =  98.785299 [254]
 {   7.857143,  -0.642857 }, // alpha =  94.677418 [255]
