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Jun 20th, 2012
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  1.  
  2. k =
  3.  
  4. 1
  5.  
  6.  
  7. c =
  8.  
  9. 1/2
  10.  
  11.  
  12.  
  13. k =
  14.  
  15. 2
  16.  
  17.  
  18. c =
  19.  
  20. 1/2-1/6*3^(1/2)
  21. 1/2+1/6*3^(1/2)
  22.  
  23.  
  24.  
  25. k =
  26.  
  27. 3
  28.  
  29.  
  30. c =
  31.  
  32. 0
  33. 1
  34. 1/2
  35.  
  36.  
  37.  
  38. k =
  39.  
  40. 4
  41.  
  42.  
  43. c =
  44.  
  45. 1/2-1/30*(225-30*30^(1/2))^(1/2)
  46. 1/2+1/30*(225-30*30^(1/2))^(1/2)
  47. 1/2-1/30*(225+30*30^(1/2))^(1/2)
  48. 1/2+1/30*(225+30*30^(1/2))^(1/2)
  49.  
  50.  
  51.  
  52. k =
  53.  
  54. 5
  55.  
  56.  
  57. c =
  58.  
  59. .5204170427930420e-15
  60. .4999999999999995
  61. 1.000000000000000
  62. 1.263762615825973
  63. -.2637626158259735
  64.  
  65.  
  66.  
  67. k =
  68.  
  69. 6
  70.  
  71.  
  72. c =
  73.  
  74. 1/84/(539+294*2^(1/2))^(1/3)*(42*(539+294*2^(1/2))^(1/3)+14*(15*(539+294*2^(1/2))^(2/3)-462-252*2^(1/2)-42*(539+294*2^(1/2))^(1/3))^(1/2))
  75. 1/84/(539+294*2^(1/2))^(1/3)*(42*(539+294*2^(1/2))^(1/3)-14*(15*(539+294*2^(1/2))^(2/3)-462-252*2^(1/2)-42*(539+294*2^(1/2))^(1/3))^(1/2))
  76. 1/168/(539+294*2^(1/2))^(1/3)*(84*(539+294*2^(1/2))^(1/3)+28*(15*(539+294*2^(1/2))^(2/3)+231+126*2^(1/2)+21*(539+294*2^(1/2))^(1/3)-231*i*3^(1/2)-126*i*3^(1/2)*2^(1/2)+21*i*(539+294*2^(1/2))^(1/3)*3^(1/2))^(1/2))
  77. 1/168/(539+294*2^(1/2))^(1/3)*(84*(539+294*2^(1/2))^(1/3)-28*(15*(539+294*2^(1/2))^(2/3)+231+126*2^(1/2)+21*(539+294*2^(1/2))^(1/3)-231*i*3^(1/2)-126*i*3^(1/2)*2^(1/2)+21*i*(539+294*2^(1/2))^(1/3)*3^(1/2))^(1/2))
  78. 1/168/(539+294*2^(1/2))^(1/3)*(84*(539+294*2^(1/2))^(1/3)+28*(15*(539+294*2^(1/2))^(2/3)+231+126*2^(1/2)+21*(539+294*2^(1/2))^(1/3)+231*i*3^(1/2)+126*i*3^(1/2)*2^(1/2)-21*i*(539+294*2^(1/2))^(1/3)*3^(1/2))^(1/2))
  79. 1/168/(539+294*2^(1/2))^(1/3)*(84*(539+294*2^(1/2))^(1/3)-28*(15*(539+294*2^(1/2))^(2/3)+231+126*2^(1/2)+21*(539+294*2^(1/2))^(1/3)+231*i*3^(1/2)+126*i*3^(1/2)*2^(1/2)-21*i*(539+294*2^(1/2))^(1/3)*3^(1/2))^(1/2))
  80.  
  81.  
  82.  
  83. k =
  84.  
  85. 7
  86.  
  87.  
  88. c =
  89.  
  90. 0
  91. 1
  92. 1/2
  93. 1/2-1/6*(27+6*i*3^(1/2))^(1/2)
  94. 1/2+1/6*(27+6*i*3^(1/2))^(1/2)
  95. 1/2-1/6*(27-6*i*3^(1/2))^(1/2)
  96. 1/2+1/6*(27-6*i*3^(1/2))^(1/2)
  97.  
  98.  
  99.  
  100. k =
  101.  
  102. 8
  103.  
  104.  
  105. c =
  106.  
  107. 1/2+1/30*(525+30*5^(1/2)*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)+30*i*((5*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)*(1000+30*1110^(1/2))^(2/3)+50*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)+200*5^(1/2)*(1000+30*1110^(1/2))^(1/3))/(1000+30*1110^(1/2))^(1/3)/(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2))^(1/2))^(1/2)
  108. 1/2-1/30*(525+30*5^(1/2)*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)+30*i*((5*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)*(1000+30*1110^(1/2))^(2/3)+50*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)+200*5^(1/2)*(1000+30*1110^(1/2))^(1/3))/(1000+30*1110^(1/2))^(1/3)/(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2))^(1/2))^(1/2)
  109. 1/2+1/30*(525+30*5^(1/2)*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)-30*i*((5*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)*(1000+30*1110^(1/2))^(2/3)+50*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)+200*5^(1/2)*(1000+30*1110^(1/2))^(1/3))/(1000+30*1110^(1/2))^(1/3)/(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2))^(1/2))^(1/2)
  110. 1/2-1/30*(525+30*5^(1/2)*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)-30*i*((5*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)*(1000+30*1110^(1/2))^(2/3)+50*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)+200*5^(1/2)*(1000+30*1110^(1/2))^(1/3))/(1000+30*1110^(1/2))^(1/3)/(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2))^(1/2))^(1/2)
  111. 1/2+1/30*(525-30*5^(1/2)*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)+30*((-5*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)*(1000+30*1110^(1/2))^(2/3)-50*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)+200*5^(1/2)*(1000+30*1110^(1/2))^(1/3))/(1000+30*1110^(1/2))^(1/3)/(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2))^(1/2))^(1/2)
  112. 1/2-1/30*(525-30*5^(1/2)*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)+30*((-5*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)*(1000+30*1110^(1/2))^(2/3)-50*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)+200*5^(1/2)*(1000+30*1110^(1/2))^(1/3))/(1000+30*1110^(1/2))^(1/3)/(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2))^(1/2))^(1/2)
  113. 1/2+1/30*(525-30*5^(1/2)*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)-30*((-5*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)*(1000+30*1110^(1/2))^(2/3)-50*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)+200*5^(1/2)*(1000+30*1110^(1/2))^(1/3))/(1000+30*1110^(1/2))^(1/3)/(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2))^(1/2))^(1/2)
  114. 1/2-1/30*(525-30*5^(1/2)*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)-30*((-5*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)*(1000+30*1110^(1/2))^(2/3)-50*(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2)+200*5^(1/2)*(1000+30*1110^(1/2))^(1/3))/(1000+30*1110^(1/2))^(1/3)/(((1000+30*1110^(1/2))^(2/3)+10)/(1000+30*1110^(1/2))^(1/3))^(1/2))^(1/2))^(1/2)
  115.  
  116.  
  117.  
  118. k =
  119.  
  120. 9
  121.  
  122.  
  123. c =
  124.  
  125. .1040834085586084e-15
  126. .4999999999999998
  127. 1.000000000000000
  128. 1.449106003963996
  129. 1.518397707793756+.3354623594679870*i
  130. -.5183977077937562+.3354623594679870*i
  131. -.4491060039639956
  132. -.5183977077937562-.3354623594679870*i
  133. 1.518397707793756-.3354623594679870*i
  134.  
  135.  
  136.  
  137. k =
  138.  
  139. 10
  140.  
  141.  
  142. c =
  143.  
  144. 1.249924724276254
  145. -.2499247242762540
  146. 1.573971318663038
  147. -.5739713186630380
  148. 1.584114549691002+.4353090078965890*i
  149. -.5841145496910020-.4353090078965890*i
  150. .7501552830078450
  151. .2498447169921550
  152. 1.584114549691002-.4353090078965890*i
  153. -.5841145496910020+.4353090078965890*i
  154.  
  155.  
  156.  
  157. k =
  158.  
  159. 11
  160.  
  161.  
  162. c =
  163.  
  164. -.5186824322698709
  165. -.6180339887498950
  166. -.6454885143744016-.5378979631906384*i
  167. 1.645488514374402-.5378979631906384*i
  168.  
  169.  
  170.  
  171. k =
  172.  
  173. 12
  174.  
  175.  
  176. c =
  177.  
  178. 1.249959356797830
  179. -.2499593567978305
  180. 1.691506961261331+.1326717987247878*i
  181. -.6915069612613310-.1326717987247878*i
  182. 1.704501847956946+.6445083127581985*i
  183. -.7045018479569460-.6445083127581985*i
  184. .7500388469861226
  185. .2499611530138774
  186. 1.704501847956946-.6445083127581985*i
  187. -.7045018479569460+.6445083127581985*i
  188. 1.691506961261331-.1326717987247878*i
  189. -.6915069612613310+.1326717987247878*i
  190.  
  191.  
  192.  
  193. k =
  194.  
  195. 13
  196.  
  197.  
  198. c =
  199.  
  200. .2193132313478059e-15
  201. .4999999999999998
  202. 1.000000000000000
  203. 1.499056597832064
  204. 1.781366415700685+.1977546598847894*i
  205. 1.761517260784688+.7538407178396925*i
  206. -.7615172607846875+.7538407178396925*i
  207. -.7813664157006850+.1977546598847894*i
  208. -.4990565978320649
  209. -.7813664157006850-.1977546598847894*i
  210. -.7615172607846875-.7538407178396925*i
  211. 1.761517260784688-.7538407178396925*i
  212. 1.781366415700685-.1977546598847894*i
  213.  
  214.  
  215.  
  216. k =
  217.  
  218. 14
  219.  
  220.  
  221. c =
  222.  
  223. 1.249990314984616
  224. -.2499903149846160
  225. 1.722131280003334
  226. -.7221312800033340
  227. 1.850316114460209+.2739399901317088*i
  228. -.8503161144602090-.2739399901317088*i
  229. 1.816584348438384+.8656418243957060*i
  230. -.8165843484383840-.8656418243957060*i
  231. .7500097134619359
  232. .2499902865380641
  233. 1.816584348438384-.8656418243957060*i
  234. -.8165843484383840+.8656418243957060*i
  235. 1.850316114460209-.2739399901317088*i
  236. -.8503161144602090+.2739399901317088*i
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