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  1. {{HoldForm[list], HoldForm[{6, 9, 7}]},
  2. HoldForm[FrobeniusSolve[{6, 9, 7}, 5]],
  3. {HoldForm[Reduce`FrobeniusCode[{6, 9, 7}, 5]],
  4. HoldForm[Internal`DeactivateMessages[System`FrobeniusDump`fsolve[{6, 9, 7},
  5. 5]]], {HoldForm[$MessageList = {}], HoldForm[{}]},
  6. {HoldForm[System`FrobeniusDump`fsolve[{6, 9, 7}, 5]],
  7. HoldForm[Module[{System`FrobeniusDump`g$, System`FrobeniusDump`sol$,
  8. System`FrobeniusDump`nulls$, System`FrobeniusDump`tmp$,
  9. System`FrobeniusDump`op$}, If[5 < 0, Return[{}]];
  10. If[5 == 0, Return[{Table[0, {Length[{6, 9, 7}]}]}]];
  11. System`FrobeniusDump`g$ = GCD @@ {6, 9, 7};
  12. If[ !IntegerQ[5/System`FrobeniusDump`g$], Return[{}]];
  13. System`FrobeniusDump`tmp$ = Reduce`LinearDiophantineSolve[
  14. {{6, 9, 7}/System`FrobeniusDump`g$}, {5/System`FrobeniusDump`g$}];
  15. If[ !ListQ[System`FrobeniusDump`tmp$], Return[$Failed]];
  16. {System`FrobeniusDump`sol$, System`FrobeniusDump`nulls$} =
  17. System`FrobeniusDump`tmp$; If[System`FrobeniusDump`sol$ === {},
  18. Return[{}]]; Internal`WithLocalSettings[
  19. System`FrobeniusDump`op$ = "ReduceOptions" /. SystemOptions[];
  20. SetSystemOptions["ReduceOptions" -> {"DiscreteSolutionBound" ->
  21. Infinity}], System`FrobeniusDump`tmp$ =
  22. System`IntegerLinearDump`ICIntLinReduce[Transpose[
  23. System`FrobeniusDump`nulls$], -System`FrobeniusDump`sol$],
  24. SetSystemOptions["ReduceOptions" -> System`FrobeniusDump`op$]];
  25. If[System`FrobeniusDump`tmp$ === $Failed, Return[$Failed]];
  26. Sort[(System`FrobeniusDump`sol$ +
  27. #1 . System`FrobeniusDump`nulls$ & ) /@
  28. System`FrobeniusDump`tmp$]]],
  29. {HoldForm[If[5 < 0, Return[{}]]; If[5 == 0,
  30. Return[{Table[0, {Length[{6, 9, 7}]}]}]];
  31. System`FrobeniusDump`g$99350 = GCD @@ {6, 9, 7};
  32. If[ !IntegerQ[5/System`FrobeniusDump`g$99350], Return[{}]];
  33. System`FrobeniusDump`tmp$99350 = Reduce`LinearDiophantineSolve[
  34. {{6, 9, 7}/System`FrobeniusDump`g$99350},
  35. {5/System`FrobeniusDump`g$99350}];
  36. If[ !ListQ[System`FrobeniusDump`tmp$99350], Return[$Failed]];
  37. {System`FrobeniusDump`sol$99350, System`FrobeniusDump`nulls$99350} =
  38. System`FrobeniusDump`tmp$99350; If[System`FrobeniusDump`sol$99350 ===
  39. {}, Return[{}]]; Internal`WithLocalSettings[
  40. System`FrobeniusDump`op$99350 = "ReduceOptions" /. SystemOptions[];
  41. SetSystemOptions["ReduceOptions" -> {"DiscreteSolutionBound" ->
  42. Infinity}], System`FrobeniusDump`tmp$99350 =
  43. System`IntegerLinearDump`ICIntLinReduce[Transpose[
  44. System`FrobeniusDump`nulls$99350],
  45. -System`FrobeniusDump`sol$99350], SetSystemOptions[
  46. "ReduceOptions" -> System`FrobeniusDump`op$99350]];
  47. If[System`FrobeniusDump`tmp$99350 === $Failed, Return[$Failed]];
  48. Sort[(System`FrobeniusDump`sol$99350 +
  49. #1 . System`FrobeniusDump`nulls$99350 & ) /@
  50. System`FrobeniusDump`tmp$99350]],
  51. {{HoldForm[5 < 0], HoldForm[False]}, HoldForm[If[False, Return[{}]]],
  52. HoldForm[Null]}, {{HoldForm[5 == 0], HoldForm[False]},
  53. HoldForm[If[False, Return[{Table[0, {Length[{6, 9, 7}]}]}]]],
  54. HoldForm[Null]}, {{HoldForm[GCD @@ {6, 9, 7}], HoldForm[GCD[6, 9, 7]],
  55. HoldForm[GCD[6, 7, 9]], HoldForm[1]},
  56. HoldForm[System`FrobeniusDump`g$99350 = 1], HoldForm[1]},
  57. {{{{{{HoldForm[System`FrobeniusDump`g$99350], HoldForm[1]},
  58. HoldForm[1^(-1)], HoldForm[1]}, HoldForm[5*1], HoldForm[5]},
  59. HoldForm[IntegerQ[5]], HoldForm[True]}, HoldForm[ !True],
  60. HoldForm[False]}, HoldForm[If[False, Return[{}]]], HoldForm[Null]},
  61. {{{{{{HoldForm[System`FrobeniusDump`g$99350], HoldForm[1]},
  62. HoldForm[1^(-1)], HoldForm[1]}, HoldForm[{6, 9, 7}*1],
  63. HoldForm[{6, 9, 7}]}, HoldForm[{{6, 9, 7}}]},
  64. {{{{HoldForm[System`FrobeniusDump`g$99350], HoldForm[1]},
  65. HoldForm[1^(-1)], HoldForm[1]}, HoldForm[5*1], HoldForm[5]},
  66. HoldForm[{5}]}, HoldForm[Reduce`LinearDiophantineSolve[{{6, 9, 7}},
  67. {5}]], {HoldForm[MatrixQ[{{6, 9, 7}}]], HoldForm[True]},
  68. {HoldForm[VectorQ[{5}]], HoldForm[True]},
  69. HoldForm[Catch[Module[{System`IntegerLinearDump`m$ =
  70. Length[{{6, 9, 7}}], System`IntegerLinearDump`newmat$,
  71. System`IntegerLinearDump`hH$, System`IntegerLinearDump`j$,
  72. System`IntegerLinearDump`k$, System`IntegerLinearDump`colmp1$,
  73. System`IntegerLinearDump`solnrow$, System`IntegerLinearDump`soln$,
  74. System`IntegerLinearDump`nullvecs$},
  75. If[System`IntegerLinearDump`m$ != Length[{5}] || !IntegerQ[0],
  76. Throw[$Failed]]; System`IntegerLinearDump`newmat$ =
  77. Prepend[Transpose[{{6, 9, 7}}], -{5}];
  78. System`IntegerLinearDump`newmat$ = Transpose[
  79. Join[Transpose[System`IntegerLinearDump`newmat$],
  80. IdentityMatrix[Length[System`IntegerLinearDump`newmat$]]]];
  81. If[0 != 0, System`IntegerLinearDump`newmat$ =
  82. Join[System`IntegerLinearDump`newmat$,
  83. Table[If[System`IntegerLinearDump`j$ ==
  84. System`IntegerLinearDump`k$, 0, 0],
  85. {System`IntegerLinearDump`j$, System`IntegerLinearDump`m$},
  86. {System`IntegerLinearDump`k$, Length[
  87. System`IntegerLinearDump`newmat$[[1]]]}]]];
  88. System`IntegerLinearDump`hH$ = HermiteDecomposition[
  89. System`IntegerLinearDump`newmat$];
  90. If[Head[System`IntegerLinearDump`hH$] == HermiteDecomposition,
  91. Throw[$Failed]]; System`IntegerLinearDump`hH$ =
  92. Last[System`IntegerLinearDump`hH$];
  93. System`IntegerLinearDump`colmp1$ =
  94. Transpose[System`IntegerLinearDump`hH$][[
  95. System`IntegerLinearDump`m$ + 1]];
  96. For[System`IntegerLinearDump`k$ = 1,
  97. System`IntegerLinearDump`colmp1$[[System`IntegerLinearDump`k$]] ==
  98. 0, System`IntegerLinearDump`k$++];
  99. System`IntegerLinearDump`solnrow$ = System`IntegerLinearDump`hH$[[
  100. System`IntegerLinearDump`k$]];
  101. If[System`IntegerLinearDump`solnrow$[[System`IntegerLinearDump`m$ +
  102. 1]] == 0, Throw[{{}, {}}]]; For[System`IntegerLinearDump`j$ =
  103. 1, System`IntegerLinearDump`j$ <= System`IntegerLinearDump`m$,
  104. System`IntegerLinearDump`j$++,
  105. If[System`IntegerLinearDump`solnrow$[[
  106. System`IntegerLinearDump`j$]] != 0, Throw[{{}, {}}]]];
  107. System`IntegerLinearDump`soln$ =
  108. Drop[System`IntegerLinearDump`solnrow$,
  109. System`IntegerLinearDump`m$ + 1];
  110. System`IntegerLinearDump`nullvecs$ =
  111. Drop[System`IntegerLinearDump`hH$, System`IntegerLinearDump`k$];
  112. If[System`IntegerLinearDump`nullvecs$ =!= {},
  113. System`IntegerLinearDump`nullvecs$ = Transpose[
  114. Drop[Transpose[System`IntegerLinearDump`nullvecs$],
  115. System`IntegerLinearDump`m$ + 1]]]; If[0 != 0,
  116. System`IntegerLinearDump`soln$ =
  117. Mod[System`IntegerLinearDump`soln$, 0];
  118. System`IntegerLinearDump`nullvecs$ = Select[
  119. Mod[System`IntegerLinearDump`nullvecs$, 0], Union[#1] =!=
  120. {0} & ]]; {System`IntegerLinearDump`soln$,
  121. System`IntegerLinearDump`nullvecs$}]]],
  122. {HoldForm[Module[{System`IntegerLinearDump`m$ = Length[{{6, 9, 7}}],
  123. System`IntegerLinearDump`newmat$, System`IntegerLinearDump`hH$,
  124. System`IntegerLinearDump`j$, System`IntegerLinearDump`k$,
  125. System`IntegerLinearDump`colmp1$,
  126. System`IntegerLinearDump`solnrow$, System`IntegerLinearDump`soln$,
  127. System`IntegerLinearDump`nullvecs$},
  128. If[System`IntegerLinearDump`m$ != Length[{5}] || !IntegerQ[0],
  129. Throw[$Failed]]; System`IntegerLinearDump`newmat$ =
  130. Prepend[Transpose[{{6, 9, 7}}], -{5}];
  131. System`IntegerLinearDump`newmat$ = Transpose[
  132. Join[Transpose[System`IntegerLinearDump`newmat$],
  133. IdentityMatrix[Length[System`IntegerLinearDump`newmat$]]]];
  134. If[0 != 0, System`IntegerLinearDump`newmat$ =
  135. Join[System`IntegerLinearDump`newmat$,
  136. Table[If[System`IntegerLinearDump`j$ ==
  137. System`IntegerLinearDump`k$, 0, 0],
  138. {System`IntegerLinearDump`j$, System`IntegerLinearDump`m$},
  139. {System`IntegerLinearDump`k$, Length[
  140. System`IntegerLinearDump`newmat$[[1]]]}]]];
  141. System`IntegerLinearDump`hH$ = HermiteDecomposition[
  142. System`IntegerLinearDump`newmat$];
  143. If[Head[System`IntegerLinearDump`hH$] == HermiteDecomposition,
  144. Throw[$Failed]]; System`IntegerLinearDump`hH$ =
  145. Last[System`IntegerLinearDump`hH$];
  146. System`IntegerLinearDump`colmp1$ =
  147. Transpose[System`IntegerLinearDump`hH$][[
  148. System`IntegerLinearDump`m$ + 1]];
  149. For[System`IntegerLinearDump`k$ = 1,
  150. System`IntegerLinearDump`colmp1$[[System`IntegerLinearDump`k$]] ==
  151. 0, System`IntegerLinearDump`k$++];
  152. System`IntegerLinearDump`solnrow$ = System`IntegerLinearDump`hH$[[
  153. System`IntegerLinearDump`k$]];
  154. If[System`IntegerLinearDump`solnrow$[[System`IntegerLinearDump`m$ +
  155. 1]] == 0, Throw[{{}, {}}]]; For[System`IntegerLinearDump`j$ =
  156. 1, System`IntegerLinearDump`j$ <= System`IntegerLinearDump`m$,
  157. System`IntegerLinearDump`j$++,
  158. If[System`IntegerLinearDump`solnrow$[[
  159. System`IntegerLinearDump`j$]] != 0, Throw[{{}, {}}]]];
  160. System`IntegerLinearDump`soln$ =
  161. Drop[System`IntegerLinearDump`solnrow$,
  162. System`IntegerLinearDump`m$ + 1];
  163. System`IntegerLinearDump`nullvecs$ =
  164. Drop[System`IntegerLinearDump`hH$, System`IntegerLinearDump`k$];
  165. If[System`IntegerLinearDump`nullvecs$ =!= {},
  166. System`IntegerLinearDump`nullvecs$ = Transpose[
  167. Drop[Transpose[System`IntegerLinearDump`nullvecs$],
  168. System`IntegerLinearDump`m$ + 1]]]; If[0 != 0,
  169. System`IntegerLinearDump`soln$ =
  170. Mod[System`IntegerLinearDump`soln$, 0];
  171. System`IntegerLinearDump`nullvecs$ = Select[
  172. Mod[System`IntegerLinearDump`nullvecs$, 0], Union[#1] =!=
  173. {0} & ]]; {System`IntegerLinearDump`soln$,
  174. System`IntegerLinearDump`nullvecs$}]],
  175. {HoldForm[Length[{{6, 9, 7}}]], HoldForm[1]},
  176. {HoldForm[System`IntegerLinearDump`m$99351 = 1], HoldForm[1]},
  177. {HoldForm[If[System`IntegerLinearDump`m$99351 != Length[{5}] ||
  178. !IntegerQ[0], Throw[$Failed]];
  179. System`IntegerLinearDump`newmat$99351 =
  180. Prepend[Transpose[{{6, 9, 7}}], -{5}];
  181. System`IntegerLinearDump`newmat$99351 = Transpose[
  182. Join[Transpose[System`IntegerLinearDump`newmat$99351],
  183. IdentityMatrix[Length[System`IntegerLinearDump`newmat$99351]]]];
  184. If[0 != 0, System`IntegerLinearDump`newmat$99351 =
  185. Join[System`IntegerLinearDump`newmat$99351,
  186. Table[If[System`IntegerLinearDump`j$99351 ==
  187. System`IntegerLinearDump`k$99351, 0, 0],
  188. {System`IntegerLinearDump`j$99351,
  189. System`IntegerLinearDump`m$99351},
  190. {System`IntegerLinearDump`k$99351, Length[
  191. System`IntegerLinearDump`newmat$99351[[1]]]}]]];
  192. System`IntegerLinearDump`hH$99351 = HermiteDecomposition[
  193. System`IntegerLinearDump`newmat$99351];
  194. If[Head[System`IntegerLinearDump`hH$99351] == HermiteDecomposition,
  195. Throw[$Failed]]; System`IntegerLinearDump`hH$99351 =
  196. Last[System`IntegerLinearDump`hH$99351];
  197. System`IntegerLinearDump`colmp1$99351 =
  198. Transpose[System`IntegerLinearDump`hH$99351][[
  199. System`IntegerLinearDump`m$99351 + 1]];
  200. For[System`IntegerLinearDump`k$99351 = 1,
  201. System`IntegerLinearDump`colmp1$99351[[
  202. System`IntegerLinearDump`k$99351]] == 0,
  203. System`IntegerLinearDump`k$99351++];
  204. System`IntegerLinearDump`solnrow$99351 =
  205. System`IntegerLinearDump`hH$99351[[
  206. System`IntegerLinearDump`k$99351]];
  207. If[System`IntegerLinearDump`solnrow$99351[[
  208. System`IntegerLinearDump`m$99351 + 1]] == 0, Throw[{{}, {}}]];
  209. For[System`IntegerLinearDump`j$99351 = 1,
  210. System`IntegerLinearDump`j$99351 <=
  211. System`IntegerLinearDump`m$99351,
  212. System`IntegerLinearDump`j$99351++,
  213. If[System`IntegerLinearDump`solnrow$99351[[
  214. System`IntegerLinearDump`j$99351]] != 0, Throw[{{}, {}}]]];
  215. System`IntegerLinearDump`soln$99351 =
  216. Drop[System`IntegerLinearDump`solnrow$99351,
  217. System`IntegerLinearDump`m$99351 + 1];
  218. System`IntegerLinearDump`nullvecs$99351 =
  219. Drop[System`IntegerLinearDump`hH$99351,
  220. System`IntegerLinearDump`k$99351];
  221. If[System`IntegerLinearDump`nullvecs$99351 =!= {},
  222. System`IntegerLinearDump`nullvecs$99351 = Transpose[
  223. Drop[Transpose[System`IntegerLinearDump`nullvecs$99351],
  224. System`IntegerLinearDump`m$99351 + 1]]];
  225. If[0 != 0, System`IntegerLinearDump`soln$99351 =
  226. Mod[System`IntegerLinearDump`soln$99351, 0];
  227. System`IntegerLinearDump`nullvecs$99351 =
  228. Select[Mod[System`IntegerLinearDump`nullvecs$99351, 0],
  229. Union[#1] =!= {0} & ]]; {System`IntegerLinearDump`soln$99351,
  230. System`IntegerLinearDump`nullvecs$99351}],
  231. {{HoldForm[System`IntegerLinearDump`m$99351 != Length[{5}] ||
  232. !IntegerQ[0]], {{HoldForm[System`IntegerLinearDump`m$99351],
  233. HoldForm[1]}, {HoldForm[Length[{5}]], HoldForm[1]},
  234. HoldForm[1 != 1], HoldForm[False]}, {{HoldForm[IntegerQ[0]],
  235. HoldForm[True]}, HoldForm[ !True], HoldForm[False]},
  236. HoldForm[False]}, HoldForm[If[False, Throw[$Failed]]],
  237. HoldForm[Null]}, {{{HoldForm[Transpose[{{6, 9, 7}}]],
  238. HoldForm[{{6}, {9}, {7}}]}, {HoldForm[-{5}], HoldForm[{-1*5}],
  239. {HoldForm[-1*5], HoldForm[-5]}, HoldForm[{-5}]},
  240. HoldForm[Prepend[{{6}, {9}, {7}}, {-5}]],
  241. HoldForm[{{-5}, {6}, {9}, {7}}]}, HoldForm[
  242. System`IntegerLinearDump`newmat$99351 = {{-5}, {6}, {9}, {7}}],
  243. HoldForm[{{-5}, {6}, {9}, {7}}]},
  244. {{{{{HoldForm[System`IntegerLinearDump`newmat$99351],
  245. HoldForm[{{-5}, {6}, {9}, {7}}]}, HoldForm[Transpose[
  246. {{-5}, {6}, {9}, {7}}]], HoldForm[{{-5, 6, 9, 7}}]},
  247. {{{HoldForm[System`IntegerLinearDump`newmat$99351],
  248. HoldForm[{{-5}, {6}, {9}, {7}}]}, HoldForm[Length[{{-5}, {6},
  249. {9}, {7}}]], HoldForm[4]}, HoldForm[IdentityMatrix[4]],
  250. HoldForm[{{1, 0, 0, 0}, {0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0,
  251. 1}}]}, HoldForm[Join[{{-5, 6, 9, 7}}, {{1, 0, 0, 0}, {0, 1, 0,
  252. 0}, {0, 0, 1, 0}, {0, 0, 0, 1}}]], HoldForm[{{-5, 6, 9, 7}, {1,
  253. 0, 0, 0}, {0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}}]},
  254. HoldForm[Transpose[{{-5, 6, 9, 7}, {1, 0, 0, 0}, {0, 1, 0, 0}, {0,
  255. 0, 1, 0}, {0, 0, 0, 1}}]], HoldForm[{{-5, 1, 0, 0, 0}, {6, 0, 1,
  256. 0, 0}, {9, 0, 0, 1, 0}, {7, 0, 0, 0, 1}}]},
  257. HoldForm[System`IntegerLinearDump`newmat$99351 = {{-5, 1, 0, 0, 0},
  258. {6, 0, 1, 0, 0}, {9, 0, 0, 1, 0}, {7, 0, 0, 0, 1}}],
  259. HoldForm[{{-5, 1, 0, 0, 0}, {6, 0, 1, 0, 0}, {9, 0, 0, 1, 0}, {7, 0,
  260. 0, 0, 1}}]}, {{HoldForm[0 != 0], HoldForm[False]},
  261. HoldForm[If[False, System`IntegerLinearDump`newmat$99351 =
  262. Join[System`IntegerLinearDump`newmat$99351,
  263. Table[If[System`IntegerLinearDump`j$99351 ==
  264. System`IntegerLinearDump`k$99351, 0, 0],
  265. {System`IntegerLinearDump`j$99351,
  266. System`IntegerLinearDump`m$99351},
  267. {System`IntegerLinearDump`k$99351, Length[
  268. System`IntegerLinearDump`newmat$99351[[1]]]}]]]],
  269. HoldForm[Null]}, {{{HoldForm[System`IntegerLinearDump`newmat$99351],
  270. HoldForm[{{-5, 1, 0, 0, 0}, {6, 0, 1, 0, 0}, {9, 0, 0, 1, 0}, {7,
  271. 0, 0, 0, 1}}]}, HoldForm[HermiteDecomposition[{{-5, 1, 0, 0, 0},
  272. {6, 0, 1, 0, 0}, {9, 0, 0, 1, 0}, {7, 0, 0, 0, 1}}]],
  273. {HoldForm[GCD[-7]], HoldForm[7]}, {HoldForm[Floor[-3/7]],
  274. HoldForm[-1]}, {HoldForm[Floor[2]], HoldForm[2]},
  275. {HoldForm[Floor[-8/7]], HoldForm[-2]}, {HoldForm[Floor[-1]],
  276. HoldForm[-1]}, {HoldForm[Floor[4/7]], HoldForm[0]},
  277. {HoldForm[LinearSolve[{{-5, 6, 9, 7}, {1, 0, 0, 0}, {0, 1, 0, 0},
  278. {0, 0, 1, 0}}, {{1, 0, 0, 0}, {0, 1, 0, 0}, {0, 0, 1, 0},
  279. {4, 6, 4, 7}}]], HoldForm[{{0, 1, 0, 0}, {0, 0, 1, 0},
  280. {4, 6, 4, 7}, {-5, -7, -6, -9}}]},
  281. {HoldForm[{{-5, 1, 0, 0, 0}, {6, 0, 1, 0, 0}, {9, 0, 0, 1, 0},
  282. {7, 0, 0, 0, 1}}[[All,{5}]]], HoldForm[{{0}, {0}, {0}, {1}}]},
  283. {HoldForm[{{0, 0, 4, -5}, {1, 0, 6, -7}, {0, 1, 4, -6},
  284. {0, 0, 7, -9}} . {{0}, {0}, {0}, {1}}], HoldForm[{{-5}, {-7},
  285. {-6}, {-9}}]}, HoldForm[{{{0, 0, 4, -5}, {1, 0, 6, -7},
  286. {0, 1, 4, -6}, {0, 0, 7, -9}}, {{1, 0, 0, 4, -5},
  287. {0, 1, 0, 6, -7}, {0, 0, 1, 4, -6}, {0, 0, 0, 7, -9}}}]},
  288. HoldForm[System`IntegerLinearDump`hH$99351 =
  289. {{{0, 0, 4, -5}, {1, 0, 6, -7}, {0, 1, 4, -6}, {0, 0, 7, -9}},
  290. {{1, 0, 0, 4, -5}, {0, 1, 0, 6, -7}, {0, 0, 1, 4, -6},
  291. {0, 0, 0, 7, -9}}}], HoldForm[{{{0, 0, 4, -5}, {1, 0, 6, -7},
  292. {0, 1, 4, -6}, {0, 0, 7, -9}}, {{1, 0, 0, 4, -5},
  293. {0, 1, 0, 6, -7}, {0, 0, 1, 4, -6}, {0, 0, 0, 7, -9}}}]},
  294. {{{{HoldForm[System`IntegerLinearDump`hH$99351],
  295. HoldForm[{{{0, 0, 4, -5}, {1, 0, 6, -7}, {0, 1, 4, -6}, {0, 0, 7,
  296. -9}}, {{1, 0, 0, 4, -5}, {0, 1, 0, 6, -7}, {0, 0, 1, 4, -6}, {
  297. 0, 0, 0, 7, -9}}}]}, HoldForm[Head[{{{0, 0, 4, -5}, {1, 0, 6,
  298. -7}, {0, 1, 4, -6}, {0, 0, 7, -9}}, {{1, 0, 0, 4, -5}, {0, 1,
  299. 0, 6, -7}, {0, 0, 1, 4, -6}, {0, 0, 0, 7, -9}}}]],
  300. HoldForm[List]}, HoldForm[List == HermiteDecomposition]},
  301. HoldForm[If[List == HermiteDecomposition, Throw[$Failed]]]},
  302. {{{HoldForm[System`IntegerLinearDump`hH$99351],
  303. HoldForm[{{{0, 0, 4, -5}, {1, 0, 6, -7}, {0, 1, 4, -6},
  304. {0, 0, 7, -9}}, {{1, 0, 0, 4, -5}, {0, 1, 0, 6, -7},
  305. {0, 0, 1, 4, -6}, {0, 0, 0, 7, -9}}}]},
  306. HoldForm[Last[{{{0, 0, 4, -5}, {1, 0, 6, -7}, {0, 1, 4, -6},
  307. {0, 0, 7, -9}}, {{1, 0, 0, 4, -5}, {0, 1, 0, 6, -7},
  308. {0, 0, 1, 4, -6}, {0, 0, 0, 7, -9}}}]],
  309. HoldForm[{{1, 0, 0, 4, -5}, {0, 1, 0, 6, -7}, {0, 0, 1, 4, -6},
  310. {0, 0, 0, 7, -9}}]}, HoldForm[System`IntegerLinearDump`hH$99351 =
  311. {{1, 0, 0, 4, -5}, {0, 1, 0, 6, -7}, {0, 0, 1, 4, -6},
  312. {0, 0, 0, 7, -9}}], HoldForm[{{1, 0, 0, 4, -5}, {0, 1, 0, 6, -7},
  313. {0, 0, 1, 4, -6}, {0, 0, 0, 7, -9}}]},
  314. {{{{HoldForm[System`IntegerLinearDump`hH$99351],
  315. HoldForm[{{1, 0, 0, 4, -5}, {0, 1, 0, 6, -7}, {0, 0, 1, 4, -6},
  316. {0, 0, 0, 7, -9}}]}, HoldForm[Transpose[{{1, 0, 0, 4, -5},
  317. {0, 1, 0, 6, -7}, {0, 0, 1, 4, -6}, {0, 0, 0, 7, -9}}]],
  318. HoldForm[{{1, 0, 0, 0}, {0, 1, 0, 0}, {0, 0, 1, 0}, {4, 6, 4, 7},
  319. {-5, -7, -6, -9}}]},
  320. {{HoldForm[System`IntegerLinearDump`m$99351], HoldForm[1]},
  321. HoldForm[1 + 1], HoldForm[2]}, HoldForm[
  322. {{1, 0, 0, 0}, {0, 1, 0, 0}, {0, 0, 1, 0}, {4, 6, 4, 7},
  323. {-5, -7, -6, -9}}[[2]]], HoldForm[{0, 1, 0, 0}]},
  324. HoldForm[System`IntegerLinearDump`colmp1$99351 = {0, 1, 0, 0}],
  325. HoldForm[{0, 1, 0, 0}]},
  326. {HoldForm[For[System`IntegerLinearDump`k$99351 = 1,
  327. System`IntegerLinearDump`colmp1$99351[[
  328. System`IntegerLinearDump`k$99351]] == 0,
  329. System`IntegerLinearDump`k$99351++]],
  330. {HoldForm[System`IntegerLinearDump`k$99351 = 1], HoldForm[1]},
  331. {{{HoldForm[System`IntegerLinearDump`colmp1$99351],
  332. HoldForm[{0, 1, 0, 0}]},
  333. {HoldForm[System`IntegerLinearDump`k$99351], HoldForm[1]},
  334. HoldForm[{0, 1, 0, 0}[[1]]], HoldForm[0]}, HoldForm[0 == 0],
  335. HoldForm[True]}, {HoldForm[System`IntegerLinearDump`k$99351++],
  336. {HoldForm[System`IntegerLinearDump`k$99351], HoldForm[1]},
  337. HoldForm[1]}, {{{HoldForm[System`IntegerLinearDump`colmp1$99351],
  338. HoldForm[{0, 1, 0, 0}]},
  339. {HoldForm[System`IntegerLinearDump`k$99351], HoldForm[2]},
  340. HoldForm[{0, 1, 0, 0}[[2]]], HoldForm[1]}, HoldForm[1 == 0],
  341. HoldForm[False]}, HoldForm[Null]},
  342. {{{HoldForm[System`IntegerLinearDump`hH$99351],
  343. HoldForm[{{1, 0, 0, 4, -5}, {0, 1, 0, 6, -7}, {0, 0, 1, 4, -6},
  344. {0, 0, 0, 7, -9}}]},
  345. {HoldForm[System`IntegerLinearDump`k$99351], HoldForm[2]},
  346. HoldForm[{{1, 0, 0, 4, -5}, {0, 1, 0, 6, -7}, {0, 0, 1, 4, -6},
  347. {0, 0, 0, 7, -9}}[[2]]], HoldForm[{0, 1, 0, 6, -7}]},
  348. HoldForm[System`IntegerLinearDump`solnrow$99351 = {0, 1, 0, 6, -7}],
  349. HoldForm[{0, 1, 0, 6, -7}]},
  350. {{{{HoldForm[System`IntegerLinearDump`solnrow$99351],
  351. HoldForm[{0, 1, 0, 6, -7}]},
  352. {{HoldForm[System`IntegerLinearDump`m$99351], HoldForm[1]},
  353. HoldForm[1 + 1], HoldForm[2]}, HoldForm[{0, 1, 0, 6, -7}[[2]]],
  354. HoldForm[1]}, HoldForm[1 == 0], HoldForm[False]},
  355. HoldForm[If[False, Throw[{{}, {}}]]], HoldForm[Null]},
  356. {HoldForm[For[System`IntegerLinearDump`j$99351 = 1,
  357. System`IntegerLinearDump`j$99351 <=
  358. System`IntegerLinearDump`m$99351,
  359. System`IntegerLinearDump`j$99351++,
  360. If[System`IntegerLinearDump`solnrow$99351[[
  361. System`IntegerLinearDump`j$99351]] != 0, Throw[{{}, {}}]]]],
  362. {HoldForm[System`IntegerLinearDump`j$99351 = 1], HoldForm[1]},
  363. {{HoldForm[System`IntegerLinearDump`j$99351], HoldForm[1]},
  364. {HoldForm[System`IntegerLinearDump`m$99351], HoldForm[1]},
  365. HoldForm[1 <= 1], HoldForm[True]},
  366. {{{{HoldForm[System`IntegerLinearDump`solnrow$99351],
  367. HoldForm[{0, 1, 0, 6, -7}]},
  368. {HoldForm[System`IntegerLinearDump`j$99351], HoldForm[1]},
  369. HoldForm[{0, 1, 0, 6, -7}[[1]]], HoldForm[0]}, HoldForm[0 != 0],
  370. HoldForm[False]}, HoldForm[If[False, Throw[{{}, {}}]]],
  371. HoldForm[Null]}, {HoldForm[System`IntegerLinearDump`j$99351++],
  372. {HoldForm[System`IntegerLinearDump`j$99351], HoldForm[1]},
  373. HoldForm[1]}, {{HoldForm[System`IntegerLinearDump`j$99351],
  374. HoldForm[2]}, {HoldForm[System`IntegerLinearDump`m$99351],
  375. HoldForm[1]}, HoldForm[2 <= 1], HoldForm[False]}, HoldForm[Null]},
  376. {{{HoldForm[System`IntegerLinearDump`solnrow$99351],
  377. HoldForm[{0, 1, 0, 6, -7}]},
  378. {{HoldForm[System`IntegerLinearDump`m$99351], HoldForm[1]},
  379. HoldForm[1 + 1], HoldForm[2]}, HoldForm[Drop[{0, 1, 0, 6, -7},
  380. 2]], HoldForm[{0, 6, -7}]}, HoldForm[
  381. System`IntegerLinearDump`soln$99351 = {0, 6, -7}],
  382. HoldForm[{0, 6, -7}]},
  383. {{{HoldForm[System`IntegerLinearDump`hH$99351],
  384. HoldForm[{{1, 0, 0, 4, -5}, {0, 1, 0, 6, -7}, {0, 0, 1, 4, -6},
  385. {0, 0, 0, 7, -9}}]},
  386. {HoldForm[System`IntegerLinearDump`k$99351], HoldForm[2]},
  387. HoldForm[Drop[{{1, 0, 0, 4, -5}, {0, 1, 0, 6, -7},
  388. {0, 0, 1, 4, -6}, {0, 0, 0, 7, -9}}, 2]],
  389. HoldForm[{{0, 0, 1, 4, -6}, {0, 0, 0, 7, -9}}]},
  390. HoldForm[System`IntegerLinearDump`nullvecs$99351 =
  391. {{0, 0, 1, 4, -6}, {0, 0, 0, 7, -9}}],
  392. HoldForm[{{0, 0, 1, 4, -6}, {0, 0, 0, 7, -9}}]},
  393. {{{HoldForm[System`IntegerLinearDump`nullvecs$99351],
  394. HoldForm[{{0, 0, 1, 4, -6}, {0, 0, 0, 7, -9}}]},
  395. HoldForm[{{0, 0, 1, 4, -6}, {0, 0, 0, 7, -9}} =!= {}],
  396. HoldForm[True]}, HoldForm[If[True,
  397. System`IntegerLinearDump`nullvecs$99351 = Transpose[
  398. Drop[Transpose[System`IntegerLinearDump`nullvecs$99351],
  399. System`IntegerLinearDump`m$99351 + 1]]]],
  400. HoldForm[System`IntegerLinearDump`nullvecs$99351 =
  401. Transpose[Drop[Transpose[System`IntegerLinearDump`nullvecs$99351],
  402. System`IntegerLinearDump`m$99351 + 1]]],
  403. {{{{HoldForm[System`IntegerLinearDump`nullvecs$99351],
  404. HoldForm[{{0, 0, 1, 4, -6}, {0, 0, 0, 7, -9}}]},
  405. HoldForm[Transpose[{{0, 0, 1, 4, -6}, {0, 0, 0, 7, -9}}]],
  406. HoldForm[{{0, 0}, {0, 0}, {1, 0}, {4, 7}, {-6, -9}}]},
  407. {{HoldForm[System`IntegerLinearDump`m$99351], HoldForm[1]},
  408. HoldForm[1 + 1], HoldForm[2]}, HoldForm[
  409. Drop[{{0, 0}, {0, 0}, {1, 0}, {4, 7}, {-6, -9}}, 2]],
  410. HoldForm[{{1, 0}, {4, 7}, {-6, -9}}]},
  411. HoldForm[Transpose[{{1, 0}, {4, 7}, {-6, -9}}]],
  412. HoldForm[{{1, 4, -6}, {0, 7, -9}}]}, HoldForm[
  413. System`IntegerLinearDump`nullvecs$99351 = {{1, 4, -6},
  414. {0, 7, -9}}], HoldForm[{{1, 4, -6}, {0, 7, -9}}]},
  415. {{HoldForm[0 != 0], HoldForm[False]}, HoldForm[
  416. If[False, System`IntegerLinearDump`soln$99351 =
  417. Mod[System`IntegerLinearDump`soln$99351, 0];
  418. System`IntegerLinearDump`nullvecs$99351 =
  419. Select[Mod[System`IntegerLinearDump`nullvecs$99351, 0],
  420. Union[#1] =!= {0} & ]]], HoldForm[Null]},
  421. {{HoldForm[System`IntegerLinearDump`soln$99351],
  422. HoldForm[{0, 6, -7}]},
  423. {HoldForm[System`IntegerLinearDump`nullvecs$99351],
  424. HoldForm[{{1, 4, -6}, {0, 7, -9}}]}, HoldForm[
  425. {{0, 6, -7}, {{1, 4, -6}, {0, 7, -9}}}]},
  426. HoldForm[{{0, 6, -7}, {{1, 4, -6}, {0, 7, -9}}}]},
  427. HoldForm[{{0, 6, -7}, {{1, 4, -6}, {0, 7, -9}}}]},
  428. HoldForm[{{0, 6, -7}, {{1, 4, -6}, {0, 7, -9}}}]},
  429. HoldForm[System`FrobeniusDump`tmp$99350 = {{0, 6, -7},
  430. {{1, 4, -6}, {0, 7, -9}}}], HoldForm[{{0, 6, -7},
  431. {{1, 4, -6}, {0, 7, -9}}}]},
  432. {{{{HoldForm[System`FrobeniusDump`tmp$99350],
  433. HoldForm[{{0, 6, -7}, {{1, 4, -6}, {0, 7, -9}}}]},
  434. HoldForm[ListQ[{{0, 6, -7}, {{1, 4, -6}, {0, 7, -9}}}]],
  435. HoldForm[True]}, HoldForm[ !True], HoldForm[False]},
  436. HoldForm[If[False, Return[$Failed]]], HoldForm[Null]},
  437. {{HoldForm[System`FrobeniusDump`tmp$99350],
  438. HoldForm[{{0, 6, -7}, {{1, 4, -6}, {0, 7, -9}}}]},
  439. HoldForm[{System`FrobeniusDump`sol$99350,
  440. System`FrobeniusDump`nulls$99350} = {{0, 6, -7},
  441. {{1, 4, -6}, {0, 7, -9}}}], HoldForm[{{0, 6, -7},
  442. {{1, 4, -6}, {0, 7, -9}}}]},
  443. {{{HoldForm[System`FrobeniusDump`sol$99350], HoldForm[{0, 6, -7}]},
  444. HoldForm[{0, 6, -7} === {}], HoldForm[False]},
  445. HoldForm[If[False, Return[{}]]], HoldForm[Null]},
  446. {HoldForm[Internal`WithLocalSettings[System`FrobeniusDump`op$99350 =
  447. "ReduceOptions" /. SystemOptions[]; SetSystemOptions[
  448. "ReduceOptions" -> {"DiscreteSolutionBound" -> Infinity}],
  449. System`FrobeniusDump`tmp$99350 =
  450. System`IntegerLinearDump`ICIntLinReduce[Transpose[
  451. System`FrobeniusDump`nulls$99350],
  452. -System`FrobeniusDump`sol$99350], SetSystemOptions[
  453. "ReduceOptions" -> System`FrobeniusDump`op$99350]]],
  454. {HoldForm[System`FrobeniusDump`op$99350 = "ReduceOptions" /.
  455. SystemOptions[]; SetSystemOptions["ReduceOptions" ->
  456. {"DiscreteSolutionBound" -> Infinity}]],
  457. {{{HoldForm[SystemOptions[]], {{{HoldForm[IgnoreCase -> True],
  458. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  459. HoldForm[StringMatchQ["CatchMachineUnderflow", "*",
  460. {IgnoreCase -> True}]], HoldForm[True]},
  461. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  462. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  463. "MachineRealPrintPrecision", "*", {IgnoreCase -> True}]],
  464. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  465. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  466. HoldForm[StringMatchQ["RestorePackageDependencies", "*",
  467. {IgnoreCase -> True}]], HoldForm[True]},
  468. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  469. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  470. "FormatSortHashableRules", "*", {IgnoreCase -> True}]],
  471. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  472. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  473. HoldForm[StringMatchQ["EvaluateErrorExceptions", "*",
  474. {IgnoreCase -> True}]], HoldForm[True]},
  475. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  476. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  477. "GraphicsNewTextFormat", "*", {IgnoreCase -> True}]],
  478. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  479. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  480. HoldForm[StringMatchQ["GraphicsBoxes", "*", {IgnoreCase -> True}]],
  481. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  482. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  483. HoldForm[StringMatchQ["PauseSubsecond", "*",
  484. {IgnoreCase -> True}]], HoldForm[True]},
  485. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  486. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  487. "PostScriptBufferSize", "*", {IgnoreCase -> True}]],
  488. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  489. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  490. HoldForm[StringMatchQ["ReportInterruptMessages", "*",
  491. {IgnoreCase -> True}]], HoldForm[True]},
  492. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  493. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  494. "EvaluatePlottingFunctionArgument", "*", {IgnoreCase -> True}]],
  495. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  496. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  497. HoldForm[StringMatchQ["ExtendedInverseFunction", "*",
  498. {IgnoreCase -> True}]], HoldForm[True]},
  499. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  500. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  501. "NumericalFunctionCoercionTolerance", "*",
  502. {IgnoreCase -> True}]], HoldForm[True]},
  503. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  504. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  505. "NumericalFunctionDerivativeFallback", "*",
  506. {IgnoreCase -> True}]], HoldForm[True]},
  507. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  508. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  509. "EvaluateNumericalFunctionArgument", "*", {IgnoreCase -> True}]],
  510. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  511. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  512. HoldForm[StringMatchQ["VectorInputOverride", "*",
  513. {IgnoreCase -> True}]], HoldForm[True]},
  514. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  515. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  516. "AllocationOptions", "*", {IgnoreCase -> True}]],
  517. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  518. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  519. HoldForm[StringMatchQ["ArithmeticOptions", "*",
  520. {IgnoreCase -> True}]], HoldForm[True]},
  521. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  522. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  523. "UnivariatePolynomialOptions", "*", {IgnoreCase -> True}]],
  524. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  525. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  526. HoldForm[StringMatchQ["CacheOptions", "*", {IgnoreCase -> True}]],
  527. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  528. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  529. HoldForm[StringMatchQ["CompileOptions", "*",
  530. {IgnoreCase -> True}]], HoldForm[True]},
  531. {HoldForm[Parallel`Settings`$RelaunchFailedKernels],
  532. HoldForm[True]}, {HoldForm[Parallel`Settings`$BusyWait],
  533. HoldForm[0.01]}, {HoldForm[Parallel`Settings`$MathLinkTimeout],
  534. HoldForm[15.]}, {HoldForm[Parallel`Settings`$RecoveryMode],
  535. HoldForm["Retry"]}, {HoldForm[Parallel`Settings`$AbortPause],
  536. HoldForm[2.]}, {{{HoldForm[IgnoreCase -> True],
  537. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  538. HoldForm[StringMatchQ["ParallelOptions", "*",
  539. {IgnoreCase -> True}]], HoldForm[True]},
  540. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  541. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  542. "LinearEquationOptions", "*", {IgnoreCase -> True}]],
  543. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  544. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  545. HoldForm[StringMatchQ["GroebnerBasisOptions", "*",
  546. {IgnoreCase -> True}]], HoldForm[True]},
  547. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  548. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  549. "HashOptions", "*", {IgnoreCase -> True}]], HoldForm[True]},
  550. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  551. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  552. "NeedNotReevaluateOptions", "*", {IgnoreCase -> True}]],
  553. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  554. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  555. HoldForm[StringMatchQ["LatticeReduceOptions", "*",
  556. {IgnoreCase -> True}]], HoldForm[True]},
  557. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  558. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  559. "PackedArrayOptions", "*", {IgnoreCase -> True}]],
  560. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  561. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  562. HoldForm[StringMatchQ["PolynomialAlgebraOptions", "*",
  563. {IgnoreCase -> True}]], HoldForm[True]},
  564. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  565. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  566. "AlgebraicsOptions", "*", {IgnoreCase -> True}]],
  567. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  568. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  569. HoldForm[StringMatchQ["InequalitySolvingOptions", "*",
  570. {IgnoreCase -> True}]], HoldForm[True]},
  571. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  572. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  573. "OptimizationOptions", "*", {IgnoreCase -> True}]],
  574. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  575. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  576. HoldForm[StringMatchQ["PiecewiseOptions", "*",
  577. {IgnoreCase -> True}]], HoldForm[True]},
  578. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  579. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  580. "ReduceOptions", "*", {IgnoreCase -> True}]], HoldForm[True]},
  581. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  582. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  583. "VisualizationOptions", "*", {IgnoreCase -> True}]],
  584. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  585. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  586. HoldForm[StringMatchQ["SimplificationOptions", "*",
  587. {IgnoreCase -> True}]], HoldForm[True]},
  588. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  589. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  590. "SpecialFunctionsOptions", "*", {IgnoreCase -> True}]],
  591. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  592. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  593. HoldForm[StringMatchQ["BooleanComputationOptions", "*",
  594. {IgnoreCase -> True}]], HoldForm[True]},
  595. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  596. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  597. "NSolveOptions", "*", {IgnoreCase -> True}]], HoldForm[True]},
  598. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  599. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  600. "PCREOptions", "*", {IgnoreCase -> True}]], HoldForm[True]},
  601. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  602. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  603. "AlgebraicThreadThroughHeads", "*", {IgnoreCase -> True}]],
  604. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  605. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  606. HoldForm[StringMatchQ["ConditionalAnswerFormat", "*",
  607. {IgnoreCase -> True}]], HoldForm[True]},
  608. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  609. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  610. "FourierOptions", "*", {IgnoreCase -> True}]], HoldForm[True]},
  611. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  612. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  613. "GraphPlotOptions", "*", {IgnoreCase -> True}]], HoldForm[True]},
  614. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  615. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  616. "FindMinimumOptions", "*", {IgnoreCase -> True}]],
  617. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  618. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  619. HoldForm[StringMatchQ["SparseArrayOptions", "*",
  620. {IgnoreCase -> True}]], HoldForm[True]},
  621. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  622. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  623. "LinearProgrammingOptions", "*", {IgnoreCase -> True}]],
  624. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  625. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  626. HoldForm[StringMatchQ["LinearAlgebraOptions", "*",
  627. {IgnoreCase -> True}]], HoldForm[True]},
  628. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  629. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  630. "TerminateOptions", "*", {IgnoreCase -> True}]], HoldForm[True]},
  631. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  632. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  633. "DifferentiationOptions", "*", {IgnoreCase -> True}]],
  634. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  635. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  636. HoldForm[StringMatchQ["LegacyFrontEnd", "*",
  637. {IgnoreCase -> True}]], HoldForm[True]},
  638. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  639. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  640. "EnforceCallPacket", "*", {IgnoreCase -> True}]],
  641. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  642. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  643. HoldForm[StringMatchQ["WaitUntilEnable", "*",
  644. {IgnoreCase -> True}]], HoldForm[True]},
  645. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  646. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  647. "MainLoopPauseLength", "*", {IgnoreCase -> True}]],
  648. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  649. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  650. HoldForm[StringMatchQ["MainLoopPreemptiveCheck", "*",
  651. {IgnoreCase -> True}]], HoldForm[True]},
  652. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  653. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  654. "PreemptiveCheckUseThreads", "*", {IgnoreCase -> True}]],
  655. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  656. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  657. HoldForm[StringMatchQ["PreemptiveEvaluationFrequent", "*",
  658. {IgnoreCase -> True}]], HoldForm[True]},
  659. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  660. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  661. "DynamicUpdateInterval", "*", {IgnoreCase -> True}]],
  662. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  663. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  664. HoldForm[StringMatchQ["DynamicCreatedSymbolsUpdateHold", "*",
  665. {IgnoreCase -> True}]], HoldForm[True]},
  666. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  667. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  668. "ZeroTestNumericalPrecision", "*", {IgnoreCase -> True}]],
  669. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  670. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  671. HoldForm[StringMatchQ["ZeroTestMaxPrecision", "*",
  672. {IgnoreCase -> True}]], HoldForm[True]},
  673. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  674. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  675. "StrictLexicalScoping", "*", {IgnoreCase -> True}]],
  676. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  677. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  678. HoldForm[StringMatchQ["MaxPatternMatchRecursion", "*",
  679. {IgnoreCase -> True}]], HoldForm[True]},
  680. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  681. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  682. "MessageRecursionLimit", "*", {IgnoreCase -> True}]],
  683. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  684. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  685. HoldForm[StringMatchQ["MessageHandlersRecursion", "*",
  686. {IgnoreCase -> True}]], HoldForm[True]},
  687. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  688. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  689. "LegacyNewlineParsingInStrings", "*", {IgnoreCase -> True}]],
  690. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  691. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  692. HoldForm[StringMatchQ["DefinitionsReordering", "*",
  693. {IgnoreCase -> True}]], HoldForm[True]},
  694. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  695. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  696. "GlobFileNames", "*", {IgnoreCase -> True}]], HoldForm[True]},
  697. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  698. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  699. "SymbolicProductThreshold", "*", {IgnoreCase -> True}]],
  700. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  701. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  702. HoldForm[StringMatchQ["SymbolicSumThreshold", "*",
  703. {IgnoreCase -> True}]], HoldForm[True]},
  704. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  705. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  706. "PackageFormat", "*", {IgnoreCase -> True}]], HoldForm[True]},
  707. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  708. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  709. "RawArrayOptions", "*", {IgnoreCase -> True}]], HoldForm[True]},
  710. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  711. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  712. "ImageProcessingOptions", "*", {IgnoreCase -> True}]],
  713. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  714. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  715. HoldForm[StringMatchQ["GeometricFunctionsOptions", "*",
  716. {IgnoreCase -> True}]], HoldForm[True]},
  717. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  718. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  719. "ImportExportOptions", "*", {IgnoreCase -> True}]],
  720. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  721. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  722. HoldForm[StringMatchQ["WaveletOptions", "*",
  723. {IgnoreCase -> True}]], HoldForm[True]},
  724. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  725. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  726. "FiniteElementOptions", "*", {IgnoreCase -> True}]],
  727. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  728. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  729. HoldForm[StringMatchQ["HolonomicOptions", "*",
  730. {IgnoreCase -> True}]], HoldForm[True]},
  731. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  732. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  733. "GraphOptions", "*", {IgnoreCase -> True}]], HoldForm[True]},
  734. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  735. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  736. "ProcessPriority", "*", {IgnoreCase -> True}]], HoldForm[True]},
  737. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  738. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  739. "DynamicLibraryOptions", "*", {IgnoreCase -> True}]],
  740. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  741. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  742. HoldForm[StringMatchQ["TypesetOptions", "*",
  743. {IgnoreCase -> True}]], HoldForm[True]},
  744. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  745. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  746. "DataOptions", "*", {IgnoreCase -> True}]], HoldForm[True]},
  747. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  748. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  749. "FileBackedCachingOptions", "*", {IgnoreCase -> True}]],
  750. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  751. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  752. HoldForm[StringMatchQ["GroupTheoryOptions", "*",
  753. {IgnoreCase -> True}]], HoldForm[True]},
  754. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  755. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  756. "NDSolveOptions", "*", {IgnoreCase -> True}]], HoldForm[True]},
  757. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  758. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  759. "RegionOptions", "*", {IgnoreCase -> True}]], HoldForm[True]},
  760. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  761. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  762. "ThresholdByModulus", "*", {IgnoreCase -> True}]],
  763. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  764. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  765. HoldForm[StringMatchQ["MaxPathHashCount", "*",
  766. {IgnoreCase -> True}]], HoldForm[True]},
  767. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase -> True]},
  768. HoldForm[{IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  769. "MutationHandlers", "*", {IgnoreCase -> True}]], HoldForm[True]},
  770. HoldForm[{"AlgebraicsOptions" -> {"AlgebraicZeroTestParameters" ->
  771. {1000., 1.*^6, 10000}, "ContinuedFractionRootIsolation" ->
  772. True, "NestedRootInitialPrecision" -> 30.102999566398122,
  773. "NonalgebraicRootToRadicals" -> False,
  774. "NumericRootFunctionHeuristic" -> True,
  775. "NumericRootFunctionTolerance" -> 0.1,
  776. "PolynomialGCDCrossover" -> 14, "RealRootIsolationCrossover" ->
  777. 10, "RootReduceMethodCrossovers" -> {0.75, 64, 128}},
  778. "AlgebraicThreadThroughHeads" -> {And, Equal, Greater,
  779. GreaterEqual, Implies, Inequality, Less, LessEqual, List, Nand,
  780. Nor, Not, Or, Rule, Unequal, Xor}, "AllocationOptions" ->
  781. {"AllocationExceptionThreshold" -> 1000000,
  782. "ReplaceGMPAllocator" -> True, "ReplaceMKLAllocator" -> True},
  783. "ArithmeticOptions" -> {"ArcTanArgumentReductionFactor" -> 0.3,
  784. "ArcTanCrossoverWords" -> 88, "BinarySplittingFactor" -> 2.5,
  785. "ContinuedFractionCrossoverWords" -> 150,
  786. "ExpArgumentReductionFactor" -> 0.6, "ExpCrossoverWords" -> 140,
  787. "ExtendedGCDCrossoverWords" -> 5000, "FactorialCrossover" ->
  788. 1024, "FromContinuedFractionCrossoverTerms" -> 150,
  789. "FromDigitsCrossoverWords" -> 160,
  790. "GaussianExtendedGCDCrossoverWords" -> 60,
  791. "GaussianGCDCrossoverWords" -> 60, "GCDCrossoverWords" ->
  792. Infinity, "IndeterminateIntervals" -> True,
  793. "IntegerDigitsCrossoverWords" -> 60,
  794. "LehmerHalfGCDCrossoverWords" -> 200,
  795. "LogArgumentReductionFactor" -> 0.2, "LogCrossoverWords" -> 26,
  796. "SinCosArgumentReductionFactor" -> 0.6,
  797. "SinCosCrossoverWords" -> 260,
  798. "SinhCoshArgumentReductionFactor" -> 0.6,
  799. "SinhCoshCrossoverWords" -> 155, "SinhCoshUsingExp" -> True,
  800. "SqrtCrossoverWords" -> 13750, "SymbolicEqualityTest" -> True},
  801. "BooleanComputationOptions" -> {"BDDReordering" -> False,
  802. "ConversionMethodParameters" -> {12, 1., 100, False},
  803. "DDFastCacheGrowthLimit" -> Automatic, "DDMaxCacheSize" ->
  804. Automatic, "DDMaxMemory" -> Automatic,
  805. "MinimizationManualReordering" -> True, "OrderingFunction" ->
  806. Automatic, "RestartDDManagerFunctions" -> Automatic,
  807. "ZDDReordering" -> False}, "CacheOptions" ->
  808. {"Derivative" -> {"Cache" -> True, "CacheTableLength" -> 257,
  809. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  810. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  811. "ResultComparison" -> LessEqual}, "Developer" ->
  812. {"Cache" -> True, "CacheTableLength" -> 1021,
  813. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  814. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  815. "ResultComparison" -> LessEqual}, "Geo" -> {"Cache" -> True,
  816. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  817. "CacheKeyMaxBytes" -> 500000000, "CacheResultMaxBytes" ->
  818. 500000000, "KeyComparison" -> None, "ResultComparison" ->
  819. LessEqual}, "Image" -> {"Cache" -> True,
  820. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
  821. "CacheKeyMaxBytes" -> 9223372036854775807,
  822. "CacheResultMaxBytes" -> 9223372036854775807,
  823. "KeyComparison" -> None, "ResultComparison" -> LessEqual},
  824. "Numeric" -> {"Cache" -> True, "CacheTableLength" -> 1021,
  825. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  826. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  827. "ResultComparison" -> GreaterEqual}, "ParametricFunction" ->
  828. {"Cache" -> True, "CacheTableLength" -> 19,
  829. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  830. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  831. "ResultComparison" -> LessEqual}, "Quantity" ->
  832. {"Cache" -> True, "CacheTableLength" -> 17,
  833. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  834. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  835. "ResultComparison" -> LessEqual}, "Symbolic" ->
  836. {"Cache" -> True, "CacheTableLength" -> 257,
  837. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  838. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  839. "ResultComparison" -> LessEqual}}, "CatchMachineUnderflow" ->
  840. True, "CompileOptions" -> {"ApplyCompileLength" -> Infinity,
  841. "ArrayCompileLength" -> 250, "AutoCompileAllowCoercion" ->
  842. False, "AutoCompileProtectValues" -> False,
  843. "AutomaticCompile" -> False, "BinaryTensorArithmetic" -> False,
  844. "CompileAllowCoercion" -> True,
  845. "CompileConfirmInitializedVariables" -> True,
  846. "CompiledFunctionArgumentCoercionTolerance" ->
  847. 2.1072099696478683, "CompiledFunctionMaxFailures" -> 3,
  848. "CompileDynamicScoping" -> False, "CompileEvaluateConstants" ->
  849. True, "CompileOptimizeRegisters" -> False,
  850. "CompileParallelizationThreshold" -> 10,
  851. "CompileReportCoercion" -> False, "CompileReportExternal" ->
  852. False, "CompileReportFailure" -> False, "CompileValuesLast" ->
  853. True, "FoldCompileLength" -> 100, "InternalCompileMessages" ->
  854. False, "ListableFunctionCompileLength" -> 250,
  855. "MapCompileLength" -> 100, "NestCompileLength" -> 100,
  856. "NumericalAllowExternal" -> False, "ProductCompileLength" ->
  857. 250, "ReuseTensorRegisters" -> True, "SumCompileLength" -> 250,
  858. "SystemCompileOptimizations" -> All, "TableCompileLength" ->
  859. 250}, "ConditionalAnswerFormat" -> "ConditionalExpression",
  860. "DataOptions" -> {"DataPacletParse" -> False, "ReturnEntities" ->
  861. True, "ReturnQuantities" -> True, "UseDataWrappers" -> True},
  862. "DefinitionsReordering" -> "Default", "DifferentiationOptions" ->
  863. {"AlwaysThreadGradients" -> False, "DifferentiateHeads" -> True,
  864. "DirectHighDerivatives" -> True, "ExcludedFunctions" ->
  865. {Hold, HoldComplete, Less, LessEqual, Greater, GreaterEqual,
  866. Inequality, Unequal, Nand, Nor, Xor, Not, Element, Exists,
  867. ForAll, Implies, Positive, Negative, NonPositive, NonNegative,
  868. Replace, ReplaceAll, ReplaceRepeated}, "ExitOnFailure" ->
  869. False, "SymbolicAutomaticDifferentiation" -> False},
  870. "DynamicCreatedSymbolsUpdateHold" -> False,
  871. "DynamicLibraryOptions" -> {"DynamicLibraryGlobal" -> True,
  872. "DynamicLibraryLazy" -> True}, "DynamicUpdateInterval" -> 0.05,
  873. "EnforceCallPacket" -> False, "EvaluateErrorExceptions" -> False,
  874. "EvaluateNumericalFunctionArgument" -> True,
  875. "EvaluatePlottingFunctionArgument" -> False,
  876. "ExtendedInverseFunction" -> True, "FileBackedCachingOptions" ->
  877. {"CachingReadOnlyMode" -> False, "FileBackedCaching" -> True,
  878. "MaxByteCount" -> 536870912, "UpdateCheck" -> True},
  879. "FindMinimumOptions" -> {"DefaultInteriorPointMethod" -> "IPOPT",
  880. "TreatQuadraticProgramming" -> 0}, "FiniteElementOptions" ->
  881. {"CacheInterpolationElements" -> True, "DefaultBounds" ->
  882. {-1, 1}, "DefaultElementMeshOrder" -> 2,
  883. "DefaultExtrapolationHandler" -> {Indeterminate & ,
  884. "WarningMessage" -> True}, "DefaultNumberOfElements" -> 20,
  885. "InterpolationToleranceFactor" -> 0.0001,
  886. "MinimumElementMeshQuality" -> 0., "SymbolicProcessing" -> 1.},
  887. "FormatSortHashableRules" -> True, "FourierOptions" ->
  888. {"CacheInitializationSizeLimit" -> 65537,
  889. "ConvolutionExtraMemoryLimit" -> Infinity,
  890. "ConvolutionLibrary" -> "MKL", "FFTConvolutionCostFactor" -> 1.,
  891. "FFTLibrary" -> "MKL", "SixStepSize" -> 100000},
  892. "GeometricFunctionsOptions" -> {"UseAlternateSparseSolver" ->
  893. False}, "GlobFileNames" -> False, "GraphicsBoxes" -> True,
  894. "GraphicsNewTextFormat" -> True, "GraphOptions" ->
  895. {"CacheResults" -> True, "EdgeCountThreshold" -> 10000,
  896. "RenderingOrder" -> "VertexFirst", "VertexCountThreshold" ->
  897. 1000}, "GraphPlotOptions" -> {"ArrowThreshold" -> 1048576,
  898. "BarnesHutOpeningCriterion" -> 1.2, "FineSteps" -> False,
  899. "InertiaSymmetryThreshold" -> 0.05, "MinimumReductionFactor" ->
  900. 0.75, "NumberBezierSplinePoints" -> 10, "OctreeThreshold" ->
  901. 20, "PolyminoNumber" -> 100, "PolyminoPacking" -> False,
  902. "PolyminoPadding" -> 5, "RepulsiveForceConstant" -> 0.2,
  903. "ScaleCoordinates" -> True,
  904. "ScaleCoordinatesForUnitAverageEdgeLength" -> True,
  905. "VertexLabelThreshold" -> 1048576, "VertexPointThreshold" ->
  906. 500}, "GroebnerBasisOptions" ->
  907. {"EliminateFromGroebnerBasis" -> True, "SyzygyCriterionLevel" ->
  908. 2, "UseGroebnerTrace" -> Automatic}, "GroupTheoryOptions" ->
  909. {"RandomizedSchreierSimsChecks" -> 100,
  910. "StandardListToCyclesConvention" -> True}, "HashOptions" ->
  911. {"HashArrayLengthThreshold" -> Infinity,
  912. "HashByteLengthThreshold" -> Infinity,
  913. "HashTableGrowLoadFactor" -> 2., "HashTableShrinkLoadFactor" ->
  914. 0.5}, "HolonomicOptions" -> {"FunctionSymbol" -> \[FormalY],
  915. "IteratorSymbol" -> \[FormalN], "MaxHolonomicOrder" -> 64,
  916. "MaxPolynomialDegree" -> 64, "SequenceSymbol" -> \[FormalY],
  917. "VariableSymbol" -> \[FormalX]}, "ImageProcessingOptions" ->
  918. {"Accelerators" -> {"IPP"}, "Timing" -> False, "Verbose" ->
  919. False}, "ImportExportOptions" -> {"Verbose" -> False},
  920. "InequalitySolvingOptions" -> {"ARSDecision" -> False,
  921. "BrownProjection" -> True, "CAD" -> True,
  922. "CADAlgebraicCoefficients" -> True, "CADBacksubstitution" ->
  923. Automatic, "CADCombineCells" -> True, "CADConstruction" ->
  924. Automatic, "CADDefaultPrecision" -> 30.102999566398122,
  925. "CADExtraPrecision" -> 30.102999566398122, "CADMethod" ->
  926. Automatic, "CADNRootsMethod" -> Automatic,
  927. "CADSimplifyBounds" -> True, "CADSortVariables" -> Automatic,
  928. "CADZeroTest" -> {0, Infinity}, "EquationalConstraintsCAD" ->
  929. Automatic, "FGLMBasisConversion" -> False, "FGLMElimination" ->
  930. Automatic, "GenericCAD" -> True, "GroebnerCAD" -> True,
  931. "LinearDecisionMethodCrossovers" -> {0, 30, 20, Automatic},
  932. "LinearEquations" -> True, "LinearQE" -> True,
  933. "LWDecision" -> True, "LWPreprocessor" -> Automatic,
  934. "NumericVariableRoots" -> Automatic, "ProjectAlgebraic" ->
  935. Automatic, "ProveMultiplicities" -> True, "QuadraticQE" ->
  936. Automatic, "QVSPreprocessor" -> False, "ReducePowers" ->
  937. Automatic, "RootReduced" -> False, "Simplex" -> True,
  938. "SimplifyInequalities" -> Automatic, "ThreadOr" -> True,
  939. "ZengDecision" -> False}, "LatticeReduceOptions" ->
  940. {"LatticeReduceArithmetic" -> InexactNumbers,
  941. "LatticeReduceInnerProduct" -> Automatic,
  942. "LatticeReduceLazySizeReduction" -> Automatic,
  943. "LatticeReduceRatioParameter" -> Automatic}, "LegacyFrontEnd" ->
  944. False, "LegacyNewlineParsingInStrings" -> False,
  945. "LinearAlgebraOptions" -> {"ArnoldiDensityRatio" -> 0.2,
  946. "ArnoldiEigenvaluesWarningRatio" -> 0.5,
  947. "ArnoldiExtraIterations" -> 100,
  948. "AutomaticArnoldiEigenvaluesWarningRatio" -> 0.2,
  949. "DetectStructure" -> Automatic, "LeastSquaresIterDiagConst" ->
  950. 1.*^-8, "LinearSolveTryLeastSquares" -> False,
  951. "UseIntegerBlas" -> Automatic}, "LinearEquationOptions" ->
  952. {"BandedMatrixDensityRatio" -> 0.5,
  953. "GMRESCheckPrecToNonprecRatio" -> True,
  954. "GMRESStoppingCriterionMultiplier" -> 1.001,
  955. "SparseMaxDensity" -> 0.04, "SparseMinNumberOfEquations" -> 50},
  956. "LinearProgrammingOptions" ->
  957. {"AggressiveDenseColumnIdentification" -> False,
  958. "InteriorPointAlwaysReturnSolution" -> False,
  959. "InteriorPointSize" -> 100, "MaxAugmentedSystemRefinement" -> 2,
  960. "MaxNormalSystemRefinement" -> 30,
  961. "NormalSystemRefinementMethod" -> 1, "NumberCoefficientsOnly" ->
  962. False, "Preprocessing" -> True, "RevisedSimplexCutOffRatio" ->
  963. 2., "RevisedSimplexSize" -> 200},
  964. "MachineRealPrintPrecision" -> 6, "MainLoopPauseLength" -> 1,
  965. "MainLoopPreemptiveCheck" -> True, "MaxPathHashCount" -> 10000,
  966. "MaxPatternMatchRecursion" -> 24000, "MessageHandlersRecursion" ->
  967. False, "MessageRecursionLimit" -> 1024, "MutationHandlers" ->
  968. True, "NDSolveOptions" ->
  969. {"DefaultScanDiscontinuityTimeConstraint" -> 1.,
  970. "DefaultSolveTimeConstraint" -> 1.},
  971. "NeedNotReevaluateOptions" -> {"MaxDepth" -> Infinity,
  972. "MaxStorageDepth" -> Infinity}, "NSolveOptions" ->
  973. {"ComplexEquationMethod" -> Automatic, "MonomialOrder" ->
  974. Automatic, "ReorderVariables" -> True, "SelectCriterion" ->
  975. (True & ), "Tolerance" -> 0, "UseSlicingHyperplanes" -> True},
  976. "NumericalFunctionCoercionTolerance" -> 2.1072099696478683,
  977. "NumericalFunctionDerivativeFallback" -> True,
  978. "OptimizationOptions" -> {"AddEquation" -> True,
  979. "IntegerOptimumCandidates" -> 10}, "PackageFormat" -> True,
  980. "PackedArrayOptions" -> {"ListableAutoPackLength" -> 250,
  981. "PackedArrayMathLinkRead" -> True, "UnpackMessage" -> False},
  982. "ParallelOptions" -> {"AbortPause" -> 2., "BusyWait" -> 0.01,
  983. "MachineFunctionParallelThreshold0" -> 32768,
  984. "MachineFunctionParallelThreshold1" -> 32768,
  985. "MachineFunctionParallelThreshold2" -> 16384,
  986. "MachineFunctionParallelThreshold3" -> 16384,
  987. "MathLinkTimeout" -> 15., "MKLThreadNumber" -> 4,
  988. "ParallelThreadNumber" -> 4, "RecoveryMode" -> "Retry",
  989. "RelaunchFailedKernels" -> True}, "PauseSubsecond" -> True,
  990. "PCREOptions" -> {"MatchLimit" -> 15000000,
  991. "MatchLimitRecursion" -> 10000}, "PiecewiseOptions" ->
  992. {"BooleanResult" -> Automatic, "ConditionSimplifier" ->
  993. Automatic, "DirectExpansionCrossovers" -> {10, 7., False},
  994. "EliminateConditions" -> True, "ExpandSpecialPiecewise" -> True,
  995. "FactorInequalities" -> True, "FullStrengthInference" -> False,
  996. "OrderlessConditions" -> Automatic, "Parallel" -> Automatic,
  997. "RefineConditions" -> True, "Simplification" -> True,
  998. "StrictCalculus" -> Automatic, "ValueSimplifier" -> Automatic},
  999. "PolynomialAlgebraOptions" -> {"ClassicPolynomialGCD" -> True,
  1000. "ConvolutionTimes" -> Automatic, "DensePolynomialHeuristic" ->
  1001. True, "DivideAndConquerPower" -> Automatic,
  1002. "EnhancedPolynomialGCD" -> True, "IteratedSquarePower" ->
  1003. Automatic, "PolynomialExpand" -> Automatic,
  1004. "UseNewIntPolyGcd" -> False}, "PostScriptBufferSize" -> 32768,
  1005. "PreemptiveCheckUseThreads" -> True,
  1006. "PreemptiveEvaluationFrequent" -> True, "ProcessPriority" ->
  1007. "Normal", "RawArrayOptions" -> {"AccurateReal32" -> True,
  1008. "ModularArithmetic" -> True}, "ReduceOptions" ->
  1009. {"ADDSolveBound" -> 8, "AlgebraicNumberOutput" -> True,
  1010. "BDDEliminate" -> Automatic, "BooleanInstanceMethod" ->
  1011. Automatic, "BranchLinearDiophantine" -> False,
  1012. "CacheReduceResults" -> Automatic, "DiscreteSolutionBound" ->
  1013. 10, "ExhaustiveSearchMaxPoints" -> {1000, 10000},
  1014. "FactorEquations" -> Automatic, "FactorInequalities" -> False,
  1015. "FinitePrecisionGB" -> False, "ImplicitIntegerSolutions" ->
  1016. Automatic, "IntervalRootsOptions" -> {"AllowIncomplete" ->
  1017. True, "FailDepth" -> 20, "MaxDepth" -> 50, "MaxFailures" ->
  1018. 100, "MaxIncomplete" -> 1000, "MaxSimplified" -> 1000,
  1019. "MaxSteps" -> 100000, "MinPrecision" -> 12},
  1020. "LatticeReduceDiophantine" -> True,
  1021. "LinearEliminationMaxDepth" -> Infinity, "MaxFrobeniusGraph" ->
  1022. 1000000, "MaxModularPoints" -> 1000000, "MaxModularRoots" ->
  1023. 1000000, "MaxPrimeIndex" -> 1000000000,
  1024. "NIntegrateTimeConstraint" -> 60, "PresburgerQE" -> Automatic,
  1025. "QuickReduce" -> False, "RandomInstances" -> Automatic,
  1026. "RealRootsOptions" -> {"MaxExtensionDegree" -> 5,
  1027. "MaxFactorSquareFreeDegree" -> 10000,
  1028. "MaxNestedRootsDegree" -> 100, "SparsityThreshold" -> 0.02},
  1029. "ReorderVariables" -> Automatic, "SieveMaxPoints" ->
  1030. {10000, 1000000}, "SolveDiscreteSolutionBound" -> 1000000,
  1031. "SyntacticSolveAssumptions" -> False,
  1032. "TranscendentalRecursionLimit" -> 12, "UseNestedRoots" ->
  1033. Automatic, "UseOldReduce" -> False, "UseTranscendentalRoots" ->
  1034. Automatic, "UseTranscendentalSolve" -> True},
  1035. "RegionOptions" -> {"MeshBooleanMethod" -> "External",
  1036. "MeshConversionMessages" -> False, "MeshCountThreshold" ->
  1037. 1048576, "MeshDisplay" -> True, "RegionSimplifyMaxLength" ->
  1038. 10}, "ReportInterruptMessages" -> False,
  1039. "RestorePackageDependencies" -> True, "SimplificationOptions" ->
  1040. {"AssumptionsMaxNonlinearVariables" -> 4,
  1041. "AssumptionsMaxVariables" -> 21, "AutosimplifyTrigs" -> True,
  1042. "AutosimplifyTwoArgumentLog" -> True, "FiniteSumMaxTerms" -> 30,
  1043. "FunctionExpandMaxSteps" -> 15, "ListableFirst" -> True,
  1044. "RestartELProver" -> False, "SimplifyMaxExponents" -> 100,
  1045. "SimplifyToPiecewise" -> True}, "SparseArrayOptions" ->
  1046. {"DotDensityThreshold" -> 1., "DotDensityVectorThreshold" ->
  1047. 0.25, "DotLengthThreshold" -> 10, "GraphicsFactor" -> 0.075,
  1048. "IndexHashThreshold" -> 0.01, "MaxUnsparsifyElements" ->
  1049. Infinity, "SortDensityThreshold" -> 0.1,
  1050. "SortLengthThreshold" -> 10, "TreatRepeatedEntries" -> First},
  1051. "SpecialFunctionsOptions" -> {"BernoulliBCrossoverIndex" -> 3000,
  1052. "BernoulliBOverFactorialRecursiveIndexThreshold" -> 500,
  1053. "BesselHalfIndexExpand" -> True, "BinomialCrossover" -> 4000,
  1054. "BinomialGenericZero" -> True,
  1055. "BinomialPolynomialEvaluationThreshold" -> 5,
  1056. "EulerECrossoverIndex" -> 60, "GammaMethodCrossover" -> 800},
  1057. "StrictLexicalScoping" -> False, "SymbolicProductThreshold" ->
  1058. 1000000, "SymbolicSumThreshold" -> 1000000, "TerminateOptions" ->
  1059. {"ExitOnTerminate" -> True, "TerminateForwardLink" -> Null,
  1060. "TerminateWatchForwardLink" -> Null}, "ThresholdByModulus" ->
  1061. True, "TypesetOptions" -> {"ColorDirectiveSwatches" -> True,
  1062. "IconicElidedForms" -> True, "InterpretableElidedForms" ->
  1063. False, "ParenthesizeScriptBase" -> False},
  1064. "UnivariatePolynomialOptions" ->
  1065. {"PolynomialDivisorCrossoverDegree" -> -1,
  1066. "PolynomialHGCDCrossoverDegree" -> -1,
  1067. "PolynomialMatrixProductCrossoverDegree" -> -1,
  1068. "PolynomialPowerMatrixCrossoverDegree" -> -1,
  1069. "PolynomialProductCrossoverDegree" -> -1,
  1070. "PolynomialQuotientCrossoverDegree" -> -1,
  1071. "PowerMatrixPrimeThreshold" -> 50,
  1072. "UseCubicInPolynomialModularFactoring" -> True,
  1073. "UseQuarticInPolynomialModularFactoring" -> True},
  1074. "VectorInputOverride" -> False, "VisualizationOptions" ->
  1075. {"AdaptiveArithmeticPredicates" -> True, "ColorLines" -> False,
  1076. "DomainProjection" -> True, "EnableMeshObject" -> True,
  1077. "GeometricExactArithmetic" -> False, "GeometricWeighting" ->
  1078. True, "GraphicsComplexPolygonCombine" -> False,
  1079. "GraphicsToComplex" -> False, "MaxMemoryAlgebraicPlotting" ->
  1080. 402653184, "MaxRecursionPlotting" -> 15, "MeshObjectVerbose" ->
  1081. False, "MeshRegions2D" -> True, "MeshRegions3D" -> True,
  1082. "MeshRegionStorageDataStructure" -> True,
  1083. "NewExclusionsProcessing" -> False, "OriginalInput" -> False,
  1084. "PlotRangeMethod" -> 1, "PolygonReduction2D" -> None,
  1085. "PolygonReduction3D" -> None, "SymbolicGraphics" -> True,
  1086. "Verbose" -> False, "VerboseDelay" -> 0., "VertexTexture" ->
  1087. True, "VertexTextureCoordinatesTranspose" -> False},
  1088. "WaitUntilEnable" -> True, "WaveletOptions" ->
  1089. {"AllowUserDefinedWavelets" -> True,
  1090. "DefaultContinuousWavelet" -> Automatic,
  1091. "DefaultDiscreteWavelet" -> Automatic, "ParallelThreading" ->
  1092. True, "Tolerance" -> 0.00001, "WaveletThreadingThreshold" ->
  1093. 10000}, "ZeroTestMaxPrecision" -> 5000.,
  1094. "ZeroTestNumericalPrecision" -> 80.}],
  1095. {{{{{HoldForm["Cache" -> True], HoldForm["Cache" -> True]},
  1096. {HoldForm["CacheTableLength" -> 257], HoldForm[
  1097. "CacheTableLength" -> 257]}, {HoldForm["CacheTableWidth" ->
  1098. 7], HoldForm["CacheTableWidth" -> 7]},
  1099. {HoldForm["CacheKeyMaxBytes" -> 1000000], HoldForm[
  1100. "CacheKeyMaxBytes" -> 1000000]},
  1101. {HoldForm["CacheResultMaxBytes" -> 1000000],
  1102. HoldForm["CacheResultMaxBytes" -> 1000000]},
  1103. {HoldForm["KeyComparison" -> None], HoldForm["KeyComparison" ->
  1104. None]}, {HoldForm["ResultComparison" -> LessEqual],
  1105. HoldForm["ResultComparison" -> LessEqual]},
  1106. HoldForm[{"Cache" -> True, "CacheTableLength" -> 257,
  1107. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1108. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1109. "ResultComparison" -> LessEqual}]}, HoldForm[
  1110. "Derivative" -> {"Cache" -> True, "CacheTableLength" -> 257,
  1111. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1112. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1113. "ResultComparison" -> LessEqual}], HoldForm["Derivative" ->
  1114. {"Cache" -> True, "CacheTableLength" -> 257,
  1115. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1116. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1117. "ResultComparison" -> LessEqual}]},
  1118. {{{HoldForm["Cache" -> True], HoldForm["Cache" -> True]},
  1119. {HoldForm["CacheTableLength" -> 1021], HoldForm[
  1120. "CacheTableLength" -> 1021]}, {HoldForm["CacheTableWidth" ->
  1121. 7], HoldForm["CacheTableWidth" -> 7]},
  1122. {HoldForm["CacheKeyMaxBytes" -> 1000000], HoldForm[
  1123. "CacheKeyMaxBytes" -> 1000000]},
  1124. {HoldForm["CacheResultMaxBytes" -> 1000000],
  1125. HoldForm["CacheResultMaxBytes" -> 1000000]},
  1126. {HoldForm["KeyComparison" -> None], HoldForm["KeyComparison" ->
  1127. None]}, {HoldForm["ResultComparison" -> LessEqual],
  1128. HoldForm["ResultComparison" -> LessEqual]},
  1129. HoldForm[{"Cache" -> True, "CacheTableLength" -> 1021,
  1130. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1131. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1132. "ResultComparison" -> LessEqual}]}, HoldForm[
  1133. "Developer" -> {"Cache" -> True, "CacheTableLength" -> 1021,
  1134. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1135. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1136. "ResultComparison" -> LessEqual}], HoldForm["Developer" ->
  1137. {"Cache" -> True, "CacheTableLength" -> 1021,
  1138. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1139. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1140. "ResultComparison" -> LessEqual}]},
  1141. {{{HoldForm["Cache" -> True], HoldForm["Cache" -> True]},
  1142. {HoldForm["CacheTableLength" -> 1021], HoldForm[
  1143. "CacheTableLength" -> 1021]}, {HoldForm["CacheTableWidth" ->
  1144. 7], HoldForm["CacheTableWidth" -> 7]},
  1145. {HoldForm["CacheKeyMaxBytes" -> 500000000], HoldForm[
  1146. "CacheKeyMaxBytes" -> 500000000]},
  1147. {HoldForm["CacheResultMaxBytes" -> 500000000],
  1148. HoldForm["CacheResultMaxBytes" -> 500000000]},
  1149. {HoldForm["KeyComparison" -> None], HoldForm["KeyComparison" ->
  1150. None]}, {HoldForm["ResultComparison" -> LessEqual],
  1151. HoldForm["ResultComparison" -> LessEqual]},
  1152. HoldForm[{"Cache" -> True, "CacheTableLength" -> 1021,
  1153. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 500000000,
  1154. "CacheResultMaxBytes" -> 500000000, "KeyComparison" -> None,
  1155. "ResultComparison" -> LessEqual}]}, HoldForm[
  1156. "Geo" -> {"Cache" -> True, "CacheTableLength" -> 1021,
  1157. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 500000000,
  1158. "CacheResultMaxBytes" -> 500000000, "KeyComparison" -> None,
  1159. "ResultComparison" -> LessEqual}], HoldForm[
  1160. "Geo" -> {"Cache" -> True, "CacheTableLength" -> 1021,
  1161. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 500000000,
  1162. "CacheResultMaxBytes" -> 500000000, "KeyComparison" -> None,
  1163. "ResultComparison" -> LessEqual}]},
  1164. {{{HoldForm["Cache" -> True], HoldForm["Cache" -> True]},
  1165. {HoldForm["CacheTableLength" -> 257], HoldForm[
  1166. "CacheTableLength" -> 257]}, {HoldForm["CacheTableWidth" ->
  1167. 7], HoldForm["CacheTableWidth" -> 7]},
  1168. {HoldForm["CacheKeyMaxBytes" -> 9223372036854775807],
  1169. HoldForm["CacheKeyMaxBytes" -> 9223372036854775807]},
  1170. {HoldForm["CacheResultMaxBytes" -> 9223372036854775807],
  1171. HoldForm["CacheResultMaxBytes" -> 9223372036854775807]},
  1172. {HoldForm["KeyComparison" -> None], HoldForm["KeyComparison" ->
  1173. None]}, {HoldForm["ResultComparison" -> LessEqual],
  1174. HoldForm["ResultComparison" -> LessEqual]},
  1175. HoldForm[{"Cache" -> True, "CacheTableLength" -> 257,
  1176. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  1177. 9223372036854775807, "CacheResultMaxBytes" ->
  1178. 9223372036854775807, "KeyComparison" -> None,
  1179. "ResultComparison" -> LessEqual}]}, HoldForm[
  1180. "Image" -> {"Cache" -> True, "CacheTableLength" -> 257,
  1181. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  1182. 9223372036854775807, "CacheResultMaxBytes" ->
  1183. 9223372036854775807, "KeyComparison" -> None,
  1184. "ResultComparison" -> LessEqual}], HoldForm[
  1185. "Image" -> {"Cache" -> True, "CacheTableLength" -> 257,
  1186. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  1187. 9223372036854775807, "CacheResultMaxBytes" ->
  1188. 9223372036854775807, "KeyComparison" -> None,
  1189. "ResultComparison" -> LessEqual}]},
  1190. {{{HoldForm["Cache" -> True], HoldForm["Cache" -> True]},
  1191. {HoldForm["CacheTableLength" -> 1021], HoldForm[
  1192. "CacheTableLength" -> 1021]}, {HoldForm["CacheTableWidth" ->
  1193. 7], HoldForm["CacheTableWidth" -> 7]},
  1194. {HoldForm["CacheKeyMaxBytes" -> 1000000], HoldForm[
  1195. "CacheKeyMaxBytes" -> 1000000]},
  1196. {HoldForm["CacheResultMaxBytes" -> 1000000],
  1197. HoldForm["CacheResultMaxBytes" -> 1000000]},
  1198. {HoldForm["KeyComparison" -> None], HoldForm["KeyComparison" ->
  1199. None]}, {HoldForm["ResultComparison" -> GreaterEqual],
  1200. HoldForm["ResultComparison" -> GreaterEqual]},
  1201. HoldForm[{"Cache" -> True, "CacheTableLength" -> 1021,
  1202. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1203. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1204. "ResultComparison" -> GreaterEqual}]},
  1205. HoldForm["Numeric" -> {"Cache" -> True, "CacheTableLength" ->
  1206. 1021, "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1207. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1208. "ResultComparison" -> GreaterEqual}], HoldForm[
  1209. "Numeric" -> {"Cache" -> True, "CacheTableLength" -> 1021,
  1210. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1211. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1212. "ResultComparison" -> GreaterEqual}]},
  1213. {{{HoldForm["Cache" -> True], HoldForm["Cache" -> True]},
  1214. {HoldForm["CacheTableLength" -> 19], HoldForm[
  1215. "CacheTableLength" -> 19]}, {HoldForm["CacheTableWidth" -> 7],
  1216. HoldForm["CacheTableWidth" -> 7]},
  1217. {HoldForm["CacheKeyMaxBytes" -> 1000000], HoldForm[
  1218. "CacheKeyMaxBytes" -> 1000000]},
  1219. {HoldForm["CacheResultMaxBytes" -> 1000000],
  1220. HoldForm["CacheResultMaxBytes" -> 1000000]},
  1221. {HoldForm["KeyComparison" -> None], HoldForm["KeyComparison" ->
  1222. None]}, {HoldForm["ResultComparison" -> LessEqual],
  1223. HoldForm["ResultComparison" -> LessEqual]},
  1224. HoldForm[{"Cache" -> True, "CacheTableLength" -> 19,
  1225. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1226. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1227. "ResultComparison" -> LessEqual}]}, HoldForm[
  1228. "ParametricFunction" -> {"Cache" -> True, "CacheTableLength" ->
  1229. 19, "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1230. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1231. "ResultComparison" -> LessEqual}], HoldForm[
  1232. "ParametricFunction" -> {"Cache" -> True, "CacheTableLength" ->
  1233. 19, "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1234. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1235. "ResultComparison" -> LessEqual}]},
  1236. {{{HoldForm["Cache" -> True], HoldForm["Cache" -> True]},
  1237. {HoldForm["CacheTableLength" -> 17], HoldForm[
  1238. "CacheTableLength" -> 17]}, {HoldForm["CacheTableWidth" -> 7],
  1239. HoldForm["CacheTableWidth" -> 7]},
  1240. {HoldForm["CacheKeyMaxBytes" -> 1000000], HoldForm[
  1241. "CacheKeyMaxBytes" -> 1000000]},
  1242. {HoldForm["CacheResultMaxBytes" -> 1000000],
  1243. HoldForm["CacheResultMaxBytes" -> 1000000]},
  1244. {HoldForm["KeyComparison" -> None], HoldForm["KeyComparison" ->
  1245. None]}, {HoldForm["ResultComparison" -> LessEqual],
  1246. HoldForm["ResultComparison" -> LessEqual]},
  1247. HoldForm[{"Cache" -> True, "CacheTableLength" -> 17,
  1248. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1249. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1250. "ResultComparison" -> LessEqual}]}, HoldForm[
  1251. "Quantity" -> {"Cache" -> True, "CacheTableLength" -> 17,
  1252. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1253. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1254. "ResultComparison" -> LessEqual}], HoldForm["Quantity" ->
  1255. {"Cache" -> True, "CacheTableLength" -> 17,
  1256. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1257. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1258. "ResultComparison" -> LessEqual}]},
  1259. {{{HoldForm["Cache" -> True], HoldForm["Cache" -> True]},
  1260. {HoldForm["CacheTableLength" -> 257], HoldForm[
  1261. "CacheTableLength" -> 257]}, {HoldForm["CacheTableWidth" ->
  1262. 7], HoldForm["CacheTableWidth" -> 7]},
  1263. {HoldForm["CacheKeyMaxBytes" -> 1000000], HoldForm[
  1264. "CacheKeyMaxBytes" -> 1000000]},
  1265. {HoldForm["CacheResultMaxBytes" -> 1000000],
  1266. HoldForm["CacheResultMaxBytes" -> 1000000]},
  1267. {HoldForm["KeyComparison" -> None], HoldForm["KeyComparison" ->
  1268. None]}, {HoldForm["ResultComparison" -> LessEqual],
  1269. HoldForm["ResultComparison" -> LessEqual]},
  1270. HoldForm[{"Cache" -> True, "CacheTableLength" -> 257,
  1271. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1272. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1273. "ResultComparison" -> LessEqual}]}, HoldForm[
  1274. "Symbolic" -> {"Cache" -> True, "CacheTableLength" -> 257,
  1275. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1276. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1277. "ResultComparison" -> LessEqual}], HoldForm["Symbolic" ->
  1278. {"Cache" -> True, "CacheTableLength" -> 257,
  1279. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1280. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1281. "ResultComparison" -> LessEqual}]}, HoldForm[
  1282. {"Derivative" -> {"Cache" -> True, "CacheTableLength" -> 257,
  1283. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1284. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1285. "ResultComparison" -> LessEqual}, "Developer" ->
  1286. {"Cache" -> True, "CacheTableLength" -> 1021,
  1287. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1288. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1289. "ResultComparison" -> LessEqual}, "Geo" -> {"Cache" -> True,
  1290. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  1291. "CacheKeyMaxBytes" -> 500000000, "CacheResultMaxBytes" ->
  1292. 500000000, "KeyComparison" -> None, "ResultComparison" ->
  1293. LessEqual}, "Image" -> {"Cache" -> True,
  1294. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
  1295. "CacheKeyMaxBytes" -> 9223372036854775807,
  1296. "CacheResultMaxBytes" -> 9223372036854775807,
  1297. "KeyComparison" -> None, "ResultComparison" -> LessEqual},
  1298. "Numeric" -> {"Cache" -> True, "CacheTableLength" -> 1021,
  1299. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1300. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1301. "ResultComparison" -> GreaterEqual}, "ParametricFunction" ->
  1302. {"Cache" -> True, "CacheTableLength" -> 19,
  1303. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1304. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1305. "ResultComparison" -> LessEqual}, "Quantity" ->
  1306. {"Cache" -> True, "CacheTableLength" -> 17,
  1307. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1308. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1309. "ResultComparison" -> LessEqual}, "Symbolic" ->
  1310. {"Cache" -> True, "CacheTableLength" -> 257,
  1311. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1312. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1313. "ResultComparison" -> LessEqual}}]},
  1314. HoldForm["CacheOptions" -> {"Derivative" -> {"Cache" -> True,
  1315. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
  1316. "CacheKeyMaxBytes" -> 1000000, "CacheResultMaxBytes" ->
  1317. 1000000, "KeyComparison" -> None, "ResultComparison" ->
  1318. LessEqual}, "Developer" -> {"Cache" -> True,
  1319. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  1320. "CacheKeyMaxBytes" -> 1000000, "CacheResultMaxBytes" ->
  1321. 1000000, "KeyComparison" -> None, "ResultComparison" ->
  1322. LessEqual}, "Geo" -> {"Cache" -> True, "CacheTableLength" ->
  1323. 1021, "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  1324. 500000000, "CacheResultMaxBytes" -> 500000000,
  1325. "KeyComparison" -> None, "ResultComparison" -> LessEqual},
  1326. "Image" -> {"Cache" -> True, "CacheTableLength" -> 257,
  1327. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  1328. 9223372036854775807, "CacheResultMaxBytes" ->
  1329. 9223372036854775807, "KeyComparison" -> None,
  1330. "ResultComparison" -> LessEqual}, "Numeric" ->
  1331. {"Cache" -> True, "CacheTableLength" -> 1021,
  1332. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1333. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1334. "ResultComparison" -> GreaterEqual}, "ParametricFunction" ->
  1335. {"Cache" -> True, "CacheTableLength" -> 19,
  1336. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1337. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1338. "ResultComparison" -> LessEqual}, "Quantity" ->
  1339. {"Cache" -> True, "CacheTableLength" -> 17,
  1340. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1341. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1342. "ResultComparison" -> LessEqual}, "Symbolic" ->
  1343. {"Cache" -> True, "CacheTableLength" -> 257,
  1344. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1345. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1346. "ResultComparison" -> LessEqual}}],
  1347. HoldForm["CacheOptions" -> {"Derivative" -> {"Cache" -> True,
  1348. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
  1349. "CacheKeyMaxBytes" -> 1000000, "CacheResultMaxBytes" ->
  1350. 1000000, "KeyComparison" -> None, "ResultComparison" ->
  1351. LessEqual}, "Developer" -> {"Cache" -> True,
  1352. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  1353. "CacheKeyMaxBytes" -> 1000000, "CacheResultMaxBytes" ->
  1354. 1000000, "KeyComparison" -> None, "ResultComparison" ->
  1355. LessEqual}, "Geo" -> {"Cache" -> True, "CacheTableLength" ->
  1356. 1021, "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  1357. 500000000, "CacheResultMaxBytes" -> 500000000,
  1358. "KeyComparison" -> None, "ResultComparison" -> LessEqual},
  1359. "Image" -> {"Cache" -> True, "CacheTableLength" -> 257,
  1360. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  1361. 9223372036854775807, "CacheResultMaxBytes" ->
  1362. 9223372036854775807, "KeyComparison" -> None,
  1363. "ResultComparison" -> LessEqual}, "Numeric" ->
  1364. {"Cache" -> True, "CacheTableLength" -> 1021,
  1365. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1366. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1367. "ResultComparison" -> GreaterEqual}, "ParametricFunction" ->
  1368. {"Cache" -> True, "CacheTableLength" -> 19,
  1369. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1370. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1371. "ResultComparison" -> LessEqual}, "Quantity" ->
  1372. {"Cache" -> True, "CacheTableLength" -> 17,
  1373. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1374. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1375. "ResultComparison" -> LessEqual}, "Symbolic" ->
  1376. {"Cache" -> True, "CacheTableLength" -> 257,
  1377. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1378. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1379. "ResultComparison" -> LessEqual}}]},
  1380. {{{{{HoldForm["WarningMessage" -> True], HoldForm[
  1381. "WarningMessage" -> True]}, HoldForm[{Indeterminate & ,
  1382. "WarningMessage" -> True}]}, HoldForm[
  1383. "DefaultExtrapolationHandler" -> {Indeterminate & ,
  1384. "WarningMessage" -> True}], HoldForm[
  1385. "DefaultExtrapolationHandler" -> {Indeterminate & ,
  1386. "WarningMessage" -> True}]}, HoldForm[
  1387. {"CacheInterpolationElements" -> True, "DefaultBounds" ->
  1388. {-1, 1}, "DefaultElementMeshOrder" -> 2,
  1389. "DefaultExtrapolationHandler" -> {Indeterminate & ,
  1390. "WarningMessage" -> True}, "DefaultNumberOfElements" -> 20,
  1391. "InterpolationToleranceFactor" -> 0.0001,
  1392. "MinimumElementMeshQuality" -> 0., "SymbolicProcessing" ->
  1393. 1.}]}, HoldForm["FiniteElementOptions" ->
  1394. {"CacheInterpolationElements" -> True, "DefaultBounds" ->
  1395. {-1, 1}, "DefaultElementMeshOrder" -> 2,
  1396. "DefaultExtrapolationHandler" -> {Indeterminate & ,
  1397. "WarningMessage" -> True}, "DefaultNumberOfElements" -> 20,
  1398. "InterpolationToleranceFactor" -> 0.0001,
  1399. "MinimumElementMeshQuality" -> 0., "SymbolicProcessing" -> 1.}],
  1400. HoldForm["FiniteElementOptions" -> {"CacheInterpolationElements" ->
  1401. True, "DefaultBounds" -> {-1, 1}, "DefaultElementMeshOrder" ->
  1402. 2, "DefaultExtrapolationHandler" -> {Indeterminate & ,
  1403. "WarningMessage" -> True}, "DefaultNumberOfElements" -> 20,
  1404. "InterpolationToleranceFactor" -> 0.0001,
  1405. "MinimumElementMeshQuality" -> 0., "SymbolicProcessing" ->
  1406. 1.}]}, HoldForm[{"AlgebraicsOptions" ->
  1407. {"AlgebraicZeroTestParameters" -> {1000., 1.*^6, 10000},
  1408. "ContinuedFractionRootIsolation" -> True,
  1409. "NestedRootInitialPrecision" -> 30.102999566398122,
  1410. "NonalgebraicRootToRadicals" -> False,
  1411. "NumericRootFunctionHeuristic" -> True,
  1412. "NumericRootFunctionTolerance" -> 0.1,
  1413. "PolynomialGCDCrossover" -> 14, "RealRootIsolationCrossover" ->
  1414. 10, "RootReduceMethodCrossovers" -> {0.75, 64, 128}},
  1415. "AlgebraicThreadThroughHeads" -> {And, Equal, Greater,
  1416. GreaterEqual, Implies, Inequality, Less, LessEqual, List, Nand,
  1417. Nor, Not, Or, Rule, Unequal, Xor}, "AllocationOptions" ->
  1418. {"AllocationExceptionThreshold" -> 1000000,
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  1421. "ArcTanCrossoverWords" -> 88, "BinarySplittingFactor" -> 2.5,
  1422. "ContinuedFractionCrossoverWords" -> 150,
  1423. "ExpArgumentReductionFactor" -> 0.6, "ExpCrossoverWords" -> 140,
  1424. "ExtendedGCDCrossoverWords" -> 5000, "FactorialCrossover" ->
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  1426. "FromDigitsCrossoverWords" -> 160,
  1427. "GaussianExtendedGCDCrossoverWords" -> 60,
  1428. "GaussianGCDCrossoverWords" -> 60, "GCDCrossoverWords" ->
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  1430. "IntegerDigitsCrossoverWords" -> 60,
  1431. "LehmerHalfGCDCrossoverWords" -> 200,
  1432. "LogArgumentReductionFactor" -> 0.2, "LogCrossoverWords" -> 26,
  1433. "SinCosArgumentReductionFactor" -> 0.6,
  1434. "SinCosCrossoverWords" -> 260,
  1435. "SinhCoshArgumentReductionFactor" -> 0.6,
  1436. "SinhCoshCrossoverWords" -> 155, "SinhCoshUsingExp" -> True,
  1437. "SqrtCrossoverWords" -> 13750, "SymbolicEqualityTest" -> True},
  1438. "BooleanComputationOptions" -> {"BDDReordering" -> False,
  1439. "ConversionMethodParameters" -> {12, 1., 100, False},
  1440. "DDFastCacheGrowthLimit" -> Automatic, "DDMaxCacheSize" ->
  1441. Automatic, "DDMaxMemory" -> Automatic,
  1442. "MinimizationManualReordering" -> True, "OrderingFunction" ->
  1443. Automatic, "RestartDDManagerFunctions" -> Automatic,
  1444. "ZDDReordering" -> False}, "CacheOptions" ->
  1445. {"Derivative" -> {"Cache" -> True, "CacheTableLength" -> 257,
  1446. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1447. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1448. "ResultComparison" -> LessEqual}, "Developer" ->
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  1450. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1451. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1452. "ResultComparison" -> LessEqual}, "Geo" -> {"Cache" -> True,
  1453. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  1454. "CacheKeyMaxBytes" -> 500000000, "CacheResultMaxBytes" ->
  1455. 500000000, "KeyComparison" -> None, "ResultComparison" ->
  1456. LessEqual}, "Image" -> {"Cache" -> True,
  1457. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
  1458. "CacheKeyMaxBytes" -> 9223372036854775807,
  1459. "CacheResultMaxBytes" -> 9223372036854775807,
  1460. "KeyComparison" -> None, "ResultComparison" -> LessEqual},
  1461. "Numeric" -> {"Cache" -> True, "CacheTableLength" -> 1021,
  1462. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1463. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1464. "ResultComparison" -> GreaterEqual}, "ParametricFunction" ->
  1465. {"Cache" -> True, "CacheTableLength" -> 19,
  1466. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1467. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1468. "ResultComparison" -> LessEqual}, "Quantity" ->
  1469. {"Cache" -> True, "CacheTableLength" -> 17,
  1470. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1471. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1472. "ResultComparison" -> LessEqual}, "Symbolic" ->
  1473. {"Cache" -> True, "CacheTableLength" -> 257,
  1474. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1475. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1476. "ResultComparison" -> LessEqual}}, "CatchMachineUnderflow" ->
  1477. True, "CompileOptions" -> {"ApplyCompileLength" -> Infinity,
  1478. "ArrayCompileLength" -> 250, "AutoCompileAllowCoercion" ->
  1479. False, "AutoCompileProtectValues" -> False,
  1480. "AutomaticCompile" -> False, "BinaryTensorArithmetic" -> False,
  1481. "CompileAllowCoercion" -> True,
  1482. "CompileConfirmInitializedVariables" -> True,
  1483. "CompiledFunctionArgumentCoercionTolerance" ->
  1484. 2.1072099696478683, "CompiledFunctionMaxFailures" -> 3,
  1485. "CompileDynamicScoping" -> False, "CompileEvaluateConstants" ->
  1486. True, "CompileOptimizeRegisters" -> False,
  1487. "CompileParallelizationThreshold" -> 10,
  1488. "CompileReportCoercion" -> False, "CompileReportExternal" ->
  1489. False, "CompileReportFailure" -> False, "CompileValuesLast" ->
  1490. True, "FoldCompileLength" -> 100, "InternalCompileMessages" ->
  1491. False, "ListableFunctionCompileLength" -> 250,
  1492. "MapCompileLength" -> 100, "NestCompileLength" -> 100,
  1493. "NumericalAllowExternal" -> False, "ProductCompileLength" ->
  1494. 250, "ReuseTensorRegisters" -> True, "SumCompileLength" -> 250,
  1495. "SystemCompileOptimizations" -> All, "TableCompileLength" ->
  1496. 250}, "ConditionalAnswerFormat" -> "ConditionalExpression",
  1497. "DataOptions" -> {"DataPacletParse" -> False, "ReturnEntities" ->
  1498. True, "ReturnQuantities" -> True, "UseDataWrappers" -> True},
  1499. "DefinitionsReordering" -> "Default", "DifferentiationOptions" ->
  1500. {"AlwaysThreadGradients" -> False, "DifferentiateHeads" -> True,
  1501. "DirectHighDerivatives" -> True, "ExcludedFunctions" ->
  1502. {Hold, HoldComplete, Less, LessEqual, Greater, GreaterEqual,
  1503. Inequality, Unequal, Nand, Nor, Xor, Not, Element, Exists,
  1504. ForAll, Implies, Positive, Negative, NonPositive, NonNegative,
  1505. Replace, ReplaceAll, ReplaceRepeated}, "ExitOnFailure" ->
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  1507. "DynamicCreatedSymbolsUpdateHold" -> False,
  1508. "DynamicLibraryOptions" -> {"DynamicLibraryGlobal" -> True,
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  1510. "EnforceCallPacket" -> False, "EvaluateErrorExceptions" -> False,
  1511. "EvaluateNumericalFunctionArgument" -> True,
  1512. "EvaluatePlottingFunctionArgument" -> False,
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  1518. {"CacheInterpolationElements" -> True, "DefaultBounds" ->
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  1520. "DefaultExtrapolationHandler" -> {Indeterminate & ,
  1521. "WarningMessage" -> True}, "DefaultNumberOfElements" -> 20,
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  1525. {"CacheInitializationSizeLimit" -> 65537,
  1526. "ConvolutionExtraMemoryLimit" -> Infinity,
  1527. "ConvolutionLibrary" -> "MKL", "FFTConvolutionCostFactor" -> 1.,
  1528. "FFTLibrary" -> "MKL", "SixStepSize" -> 100000},
  1529. "GeometricFunctionsOptions" -> {"UseAlternateSparseSolver" ->
  1530. False}, "GlobFileNames" -> False, "GraphicsBoxes" -> True,
  1531. "GraphicsNewTextFormat" -> True, "GraphOptions" ->
  1532. {"CacheResults" -> True, "EdgeCountThreshold" -> 10000,
  1533. "RenderingOrder" -> "VertexFirst", "VertexCountThreshold" ->
  1534. 1000}, "GraphPlotOptions" -> {"ArrowThreshold" -> 1048576,
  1535. "BarnesHutOpeningCriterion" -> 1.2, "FineSteps" -> False,
  1536. "InertiaSymmetryThreshold" -> 0.05, "MinimumReductionFactor" ->
  1537. 0.75, "NumberBezierSplinePoints" -> 10, "OctreeThreshold" ->
  1538. 20, "PolyminoNumber" -> 100, "PolyminoPacking" -> False,
  1539. "PolyminoPadding" -> 5, "RepulsiveForceConstant" -> 0.2,
  1540. "ScaleCoordinates" -> True,
  1541. "ScaleCoordinatesForUnitAverageEdgeLength" -> True,
  1542. "VertexLabelThreshold" -> 1048576, "VertexPointThreshold" ->
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  1544. {"EliminateFromGroebnerBasis" -> True, "SyzygyCriterionLevel" ->
  1545. 2, "UseGroebnerTrace" -> Automatic}, "GroupTheoryOptions" ->
  1546. {"RandomizedSchreierSimsChecks" -> 100,
  1547. "StandardListToCyclesConvention" -> True}, "HashOptions" ->
  1548. {"HashArrayLengthThreshold" -> Infinity,
  1549. "HashByteLengthThreshold" -> Infinity,
  1550. "HashTableGrowLoadFactor" -> 2., "HashTableShrinkLoadFactor" ->
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  1552. "IteratorSymbol" -> \[FormalN], "MaxHolonomicOrder" -> 64,
  1553. "MaxPolynomialDegree" -> 64, "SequenceSymbol" -> \[FormalY],
  1554. "VariableSymbol" -> \[FormalX]}, "ImageProcessingOptions" ->
  1555. {"Accelerators" -> {"IPP"}, "Timing" -> False, "Verbose" ->
  1556. False}, "ImportExportOptions" -> {"Verbose" -> False},
  1557. "InequalitySolvingOptions" -> {"ARSDecision" -> False,
  1558. "BrownProjection" -> True, "CAD" -> True,
  1559. "CADAlgebraicCoefficients" -> True, "CADBacksubstitution" ->
  1560. Automatic, "CADCombineCells" -> True, "CADConstruction" ->
  1561. Automatic, "CADDefaultPrecision" -> 30.102999566398122,
  1562. "CADExtraPrecision" -> 30.102999566398122, "CADMethod" ->
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  1564. "CADSimplifyBounds" -> True, "CADSortVariables" -> Automatic,
  1565. "CADZeroTest" -> {0, Infinity}, "EquationalConstraintsCAD" ->
  1566. Automatic, "FGLMBasisConversion" -> False, "FGLMElimination" ->
  1567. Automatic, "GenericCAD" -> True, "GroebnerCAD" -> True,
  1568. "LinearDecisionMethodCrossovers" -> {0, 30, 20, Automatic},
  1569. "LinearEquations" -> True, "LinearQE" -> True,
  1570. "LWDecision" -> True, "LWPreprocessor" -> Automatic,
  1571. "NumericVariableRoots" -> Automatic, "ProjectAlgebraic" ->
  1572. Automatic, "ProveMultiplicities" -> True, "QuadraticQE" ->
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  1577. {"LatticeReduceArithmetic" -> InexactNumbers,
  1578. "LatticeReduceInnerProduct" -> Automatic,
  1579. "LatticeReduceLazySizeReduction" -> Automatic,
  1580. "LatticeReduceRatioParameter" -> Automatic}, "LegacyFrontEnd" ->
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  1582. "LinearAlgebraOptions" -> {"ArnoldiDensityRatio" -> 0.2,
  1583. "ArnoldiEigenvaluesWarningRatio" -> 0.5,
  1584. "ArnoldiExtraIterations" -> 100,
  1585. "AutomaticArnoldiEigenvaluesWarningRatio" -> 0.2,
  1586. "DetectStructure" -> Automatic, "LeastSquaresIterDiagConst" ->
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  1589. {"BandedMatrixDensityRatio" -> 0.5,
  1590. "GMRESCheckPrecToNonprecRatio" -> True,
  1591. "GMRESStoppingCriterionMultiplier" -> 1.001,
  1592. "SparseMaxDensity" -> 0.04, "SparseMinNumberOfEquations" -> 50},
  1593. "LinearProgrammingOptions" ->
  1594. {"AggressiveDenseColumnIdentification" -> False,
  1595. "InteriorPointAlwaysReturnSolution" -> False,
  1596. "InteriorPointSize" -> 100, "MaxAugmentedSystemRefinement" -> 2,
  1597. "MaxNormalSystemRefinement" -> 30,
  1598. "NormalSystemRefinementMethod" -> 1, "NumberCoefficientsOnly" ->
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  1601. "MachineRealPrintPrecision" -> 6, "MainLoopPauseLength" -> 1,
  1602. "MainLoopPreemptiveCheck" -> True, "MaxPathHashCount" -> 10000,
  1603. "MaxPatternMatchRecursion" -> 24000, "MessageHandlersRecursion" ->
  1604. False, "MessageRecursionLimit" -> 1024, "MutationHandlers" ->
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  1606. {"DefaultScanDiscontinuityTimeConstraint" -> 1.,
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  1608. "NeedNotReevaluateOptions" -> {"MaxDepth" -> Infinity,
  1609. "MaxStorageDepth" -> Infinity}, "NSolveOptions" ->
  1610. {"ComplexEquationMethod" -> Automatic, "MonomialOrder" ->
  1611. Automatic, "ReorderVariables" -> True, "SelectCriterion" ->
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  1613. "NumericalFunctionCoercionTolerance" -> 2.1072099696478683,
  1614. "NumericalFunctionDerivativeFallback" -> True,
  1615. "OptimizationOptions" -> {"AddEquation" -> True,
  1616. "IntegerOptimumCandidates" -> 10}, "PackageFormat" -> True,
  1617. "PackedArrayOptions" -> {"ListableAutoPackLength" -> 250,
  1618. "PackedArrayMathLinkRead" -> True, "UnpackMessage" -> False},
  1619. "ParallelOptions" -> {"AbortPause" -> 2., "BusyWait" -> 0.01,
  1620. "MachineFunctionParallelThreshold0" -> 32768,
  1621. "MachineFunctionParallelThreshold1" -> 32768,
  1622. "MachineFunctionParallelThreshold2" -> 16384,
  1623. "MachineFunctionParallelThreshold3" -> 16384,
  1624. "MathLinkTimeout" -> 15., "MKLThreadNumber" -> 4,
  1625. "ParallelThreadNumber" -> 4, "RecoveryMode" -> "Retry",
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  1627. "PCREOptions" -> {"MatchLimit" -> 15000000,
  1628. "MatchLimitRecursion" -> 10000}, "PiecewiseOptions" ->
  1629. {"BooleanResult" -> Automatic, "ConditionSimplifier" ->
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  1631. "EliminateConditions" -> True, "ExpandSpecialPiecewise" -> True,
  1632. "FactorInequalities" -> True, "FullStrengthInference" -> False,
  1633. "OrderlessConditions" -> Automatic, "Parallel" -> Automatic,
  1634. "RefineConditions" -> True, "Simplification" -> True,
  1635. "StrictCalculus" -> Automatic, "ValueSimplifier" -> Automatic},
  1636. "PolynomialAlgebraOptions" -> {"ClassicPolynomialGCD" -> True,
  1637. "ConvolutionTimes" -> Automatic, "DensePolynomialHeuristic" ->
  1638. True, "DivideAndConquerPower" -> Automatic,
  1639. "EnhancedPolynomialGCD" -> True, "IteratedSquarePower" ->
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  1642. "PreemptiveCheckUseThreads" -> True,
  1643. "PreemptiveEvaluationFrequent" -> True, "ProcessPriority" ->
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  1645. "ModularArithmetic" -> True}, "ReduceOptions" ->
  1646. {"ADDSolveBound" -> 8, "AlgebraicNumberOutput" -> True,
  1647. "BDDEliminate" -> Automatic, "BooleanInstanceMethod" ->
  1648. Automatic, "BranchLinearDiophantine" -> False,
  1649. "CacheReduceResults" -> Automatic, "DiscreteSolutionBound" ->
  1650. 10, "ExhaustiveSearchMaxPoints" -> {1000, 10000},
  1651. "FactorEquations" -> Automatic, "FactorInequalities" -> False,
  1652. "FinitePrecisionGB" -> False, "ImplicitIntegerSolutions" ->
  1653. Automatic, "IntervalRootsOptions" -> {"AllowIncomplete" ->
  1654. True, "FailDepth" -> 20, "MaxDepth" -> 50, "MaxFailures" ->
  1655. 100, "MaxIncomplete" -> 1000, "MaxSimplified" -> 1000,
  1656. "MaxSteps" -> 100000, "MinPrecision" -> 12},
  1657. "LatticeReduceDiophantine" -> True,
  1658. "LinearEliminationMaxDepth" -> Infinity, "MaxFrobeniusGraph" ->
  1659. 1000000, "MaxModularPoints" -> 1000000, "MaxModularRoots" ->
  1660. 1000000, "MaxPrimeIndex" -> 1000000000,
  1661. "NIntegrateTimeConstraint" -> 60, "PresburgerQE" -> Automatic,
  1662. "QuickReduce" -> False, "RandomInstances" -> Automatic,
  1663. "RealRootsOptions" -> {"MaxExtensionDegree" -> 5,
  1664. "MaxFactorSquareFreeDegree" -> 10000,
  1665. "MaxNestedRootsDegree" -> 100, "SparsityThreshold" -> 0.02},
  1666. "ReorderVariables" -> Automatic, "SieveMaxPoints" ->
  1667. {10000, 1000000}, "SolveDiscreteSolutionBound" -> 1000000,
  1668. "SyntacticSolveAssumptions" -> False,
  1669. "TranscendentalRecursionLimit" -> 12, "UseNestedRoots" ->
  1670. Automatic, "UseOldReduce" -> False, "UseTranscendentalRoots" ->
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  1672. "RegionOptions" -> {"MeshBooleanMethod" -> "External",
  1673. "MeshConversionMessages" -> False, "MeshCountThreshold" ->
  1674. 1048576, "MeshDisplay" -> True, "RegionSimplifyMaxLength" ->
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  1676. "RestorePackageDependencies" -> True, "SimplificationOptions" ->
  1677. {"AssumptionsMaxNonlinearVariables" -> 4,
  1678. "AssumptionsMaxVariables" -> 21, "AutosimplifyTrigs" -> True,
  1679. "AutosimplifyTwoArgumentLog" -> True, "FiniteSumMaxTerms" -> 30,
  1680. "FunctionExpandMaxSteps" -> 15, "ListableFirst" -> True,
  1681. "RestartELProver" -> False, "SimplifyMaxExponents" -> 100,
  1682. "SimplifyToPiecewise" -> True}, "SparseArrayOptions" ->
  1683. {"DotDensityThreshold" -> 1., "DotDensityVectorThreshold" ->
  1684. 0.25, "DotLengthThreshold" -> 10, "GraphicsFactor" -> 0.075,
  1685. "IndexHashThreshold" -> 0.01, "MaxUnsparsifyElements" ->
  1686. Infinity, "SortDensityThreshold" -> 0.1,
  1687. "SortLengthThreshold" -> 10, "TreatRepeatedEntries" -> First},
  1688. "SpecialFunctionsOptions" -> {"BernoulliBCrossoverIndex" -> 3000,
  1689. "BernoulliBOverFactorialRecursiveIndexThreshold" -> 500,
  1690. "BesselHalfIndexExpand" -> True, "BinomialCrossover" -> 4000,
  1691. "BinomialGenericZero" -> True,
  1692. "BinomialPolynomialEvaluationThreshold" -> 5,
  1693. "EulerECrossoverIndex" -> 60, "GammaMethodCrossover" -> 800},
  1694. "StrictLexicalScoping" -> False, "SymbolicProductThreshold" ->
  1695. 1000000, "SymbolicSumThreshold" -> 1000000, "TerminateOptions" ->
  1696. {"ExitOnTerminate" -> True, "TerminateForwardLink" -> Null,
  1697. "TerminateWatchForwardLink" -> Null}, "ThresholdByModulus" ->
  1698. True, "TypesetOptions" -> {"ColorDirectiveSwatches" -> True,
  1699. "IconicElidedForms" -> True, "InterpretableElidedForms" ->
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  1701. "UnivariatePolynomialOptions" ->
  1702. {"PolynomialDivisorCrossoverDegree" -> -1,
  1703. "PolynomialHGCDCrossoverDegree" -> -1,
  1704. "PolynomialMatrixProductCrossoverDegree" -> -1,
  1705. "PolynomialPowerMatrixCrossoverDegree" -> -1,
  1706. "PolynomialProductCrossoverDegree" -> -1,
  1707. "PolynomialQuotientCrossoverDegree" -> -1,
  1708. "PowerMatrixPrimeThreshold" -> 50,
  1709. "UseCubicInPolynomialModularFactoring" -> True,
  1710. "UseQuarticInPolynomialModularFactoring" -> True},
  1711. "VectorInputOverride" -> False, "VisualizationOptions" ->
  1712. {"AdaptiveArithmeticPredicates" -> True, "ColorLines" -> False,
  1713. "DomainProjection" -> True, "EnableMeshObject" -> True,
  1714. "GeometricExactArithmetic" -> False, "GeometricWeighting" ->
  1715. True, "GraphicsComplexPolygonCombine" -> False,
  1716. "GraphicsToComplex" -> False, "MaxMemoryAlgebraicPlotting" ->
  1717. 402653184, "MaxRecursionPlotting" -> 15, "MeshObjectVerbose" ->
  1718. False, "MeshRegions2D" -> True, "MeshRegions3D" -> True,
  1719. "MeshRegionStorageDataStructure" -> True,
  1720. "NewExclusionsProcessing" -> False, "OriginalInput" -> False,
  1721. "PlotRangeMethod" -> 1, "PolygonReduction2D" -> None,
  1722. "PolygonReduction3D" -> None, "SymbolicGraphics" -> True,
  1723. "Verbose" -> False, "VerboseDelay" -> 0., "VertexTexture" ->
  1724. True, "VertexTextureCoordinatesTranspose" -> False},
  1725. "WaitUntilEnable" -> True, "WaveletOptions" ->
  1726. {"AllowUserDefinedWavelets" -> True,
  1727. "DefaultContinuousWavelet" -> Automatic,
  1728. "DefaultDiscreteWavelet" -> Automatic, "ParallelThreading" ->
  1729. True, "Tolerance" -> 0.00001, "WaveletThreadingThreshold" ->
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  1732. HoldForm["ReduceOptions" /. {"AlgebraicsOptions" ->
  1733. {"AlgebraicZeroTestParameters" -> {1000., 1.*^6, 10000},
  1734. "ContinuedFractionRootIsolation" -> True,
  1735. "NestedRootInitialPrecision" -> 30.102999566398122,
  1736. "NonalgebraicRootToRadicals" -> False,
  1737. "NumericRootFunctionHeuristic" -> True,
  1738. "NumericRootFunctionTolerance" -> 0.1,
  1739. "PolynomialGCDCrossover" -> 14, "RealRootIsolationCrossover" ->
  1740. 10, "RootReduceMethodCrossovers" -> {0.75, 64, 128}},
  1741. "AlgebraicThreadThroughHeads" -> {And, Equal, Greater,
  1742. GreaterEqual, Implies, Inequality, Less, LessEqual, List, Nand,
  1743. Nor, Not, Or, Rule, Unequal, Xor}, "AllocationOptions" ->
  1744. {"AllocationExceptionThreshold" -> 1000000,
  1745. "ReplaceGMPAllocator" -> True, "ReplaceMKLAllocator" -> True},
  1746. "ArithmeticOptions" -> {"ArcTanArgumentReductionFactor" -> 0.3,
  1747. "ArcTanCrossoverWords" -> 88, "BinarySplittingFactor" -> 2.5,
  1748. "ContinuedFractionCrossoverWords" -> 150,
  1749. "ExpArgumentReductionFactor" -> 0.6, "ExpCrossoverWords" -> 140,
  1750. "ExtendedGCDCrossoverWords" -> 5000, "FactorialCrossover" ->
  1751. 1024, "FromContinuedFractionCrossoverTerms" -> 150,
  1752. "FromDigitsCrossoverWords" -> 160,
  1753. "GaussianExtendedGCDCrossoverWords" -> 60,
  1754. "GaussianGCDCrossoverWords" -> 60, "GCDCrossoverWords" ->
  1755. Infinity, "IndeterminateIntervals" -> True,
  1756. "IntegerDigitsCrossoverWords" -> 60,
  1757. "LehmerHalfGCDCrossoverWords" -> 200,
  1758. "LogArgumentReductionFactor" -> 0.2, "LogCrossoverWords" -> 26,
  1759. "SinCosArgumentReductionFactor" -> 0.6,
  1760. "SinCosCrossoverWords" -> 260,
  1761. "SinhCoshArgumentReductionFactor" -> 0.6,
  1762. "SinhCoshCrossoverWords" -> 155, "SinhCoshUsingExp" -> True,
  1763. "SqrtCrossoverWords" -> 13750, "SymbolicEqualityTest" -> True},
  1764. "BooleanComputationOptions" -> {"BDDReordering" -> False,
  1765. "ConversionMethodParameters" -> {12, 1., 100, False},
  1766. "DDFastCacheGrowthLimit" -> Automatic, "DDMaxCacheSize" ->
  1767. Automatic, "DDMaxMemory" -> Automatic,
  1768. "MinimizationManualReordering" -> True, "OrderingFunction" ->
  1769. Automatic, "RestartDDManagerFunctions" -> Automatic,
  1770. "ZDDReordering" -> False}, "CacheOptions" ->
  1771. {"Derivative" -> {"Cache" -> True, "CacheTableLength" -> 257,
  1772. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1773. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1774. "ResultComparison" -> LessEqual}, "Developer" ->
  1775. {"Cache" -> True, "CacheTableLength" -> 1021,
  1776. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  1777. "CacheResultMaxBytes" -> 1000000, "KeyComparison" -> None,
  1778. "ResultComparison" -> LessEqual}, "Geo" -> {"Cache" -> True,
  1779. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  1780. "CacheKeyMaxBytes" -> 500000000, "CacheResultMaxBytes" ->
  1781. 500000000, "KeyComparison" -> None, "ResultComparison" ->
  1782. LessEqual}, "Image" -> {"Cache" -> True,
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  1855. "GeometricFunctionsOptions" -> {"UseAlternateSparseSolver" ->
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  1932. {"DefaultScanDiscontinuityTimeConstraint" -> 1.,
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  1934. "NeedNotReevaluateOptions" -> {"MaxDepth" -> Infinity,
  1935. "MaxStorageDepth" -> Infinity}, "NSolveOptions" ->
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  1939. "NumericalFunctionCoercionTolerance" -> 2.1072099696478683,
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  1941. "OptimizationOptions" -> {"AddEquation" -> True,
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  1943. "PackedArrayOptions" -> {"ListableAutoPackLength" -> 250,
  1944. "PackedArrayMathLinkRead" -> True, "UnpackMessage" -> False},
  1945. "ParallelOptions" -> {"AbortPause" -> 2., "BusyWait" -> 0.01,
  1946. "MachineFunctionParallelThreshold0" -> 32768,
  1947. "MachineFunctionParallelThreshold1" -> 32768,
  1948. "MachineFunctionParallelThreshold2" -> 16384,
  1949. "MachineFunctionParallelThreshold3" -> 16384,
  1950. "MathLinkTimeout" -> 15., "MKLThreadNumber" -> 4,
  1951. "ParallelThreadNumber" -> 4, "RecoveryMode" -> "Retry",
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  1953. "PCREOptions" -> {"MatchLimit" -> 15000000,
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  1960. "RefineConditions" -> True, "Simplification" -> True,
  1961. "StrictCalculus" -> Automatic, "ValueSimplifier" -> Automatic},
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  1963. "ConvolutionTimes" -> Automatic, "DensePolynomialHeuristic" ->
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  1965. "EnhancedPolynomialGCD" -> True, "IteratedSquarePower" ->
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  1991. "MaxNestedRootsDegree" -> 100, "SparsityThreshold" -> 0.02},
  1992. "ReorderVariables" -> Automatic, "SieveMaxPoints" ->
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  2004. "AssumptionsMaxVariables" -> 21, "AutosimplifyTrigs" -> True,
  2005. "AutosimplifyTwoArgumentLog" -> True, "FiniteSumMaxTerms" -> 30,
  2006. "FunctionExpandMaxSteps" -> 15, "ListableFirst" -> True,
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  2009. {"DotDensityThreshold" -> 1., "DotDensityVectorThreshold" ->
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  2014. "SpecialFunctionsOptions" -> {"BernoulliBCrossoverIndex" -> 3000,
  2015. "BernoulliBOverFactorialRecursiveIndexThreshold" -> 500,
  2016. "BesselHalfIndexExpand" -> True, "BinomialCrossover" -> 4000,
  2017. "BinomialGenericZero" -> True,
  2018. "BinomialPolynomialEvaluationThreshold" -> 5,
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  2020. "StrictLexicalScoping" -> False, "SymbolicProductThreshold" ->
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  2029. "PolynomialHGCDCrossoverDegree" -> -1,
  2030. "PolynomialMatrixProductCrossoverDegree" -> -1,
  2031. "PolynomialPowerMatrixCrossoverDegree" -> -1,
  2032. "PolynomialProductCrossoverDegree" -> -1,
  2033. "PolynomialQuotientCrossoverDegree" -> -1,
  2034. "PowerMatrixPrimeThreshold" -> 50,
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  2039. "DomainProjection" -> True, "EnableMeshObject" -> True,
  2040. "GeometricExactArithmetic" -> False, "GeometricWeighting" ->
  2041. True, "GraphicsComplexPolygonCombine" -> False,
  2042. "GraphicsToComplex" -> False, "MaxMemoryAlgebraicPlotting" ->
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  2045. "MeshRegionStorageDataStructure" -> True,
  2046. "NewExclusionsProcessing" -> False, "OriginalInput" -> False,
  2047. "PlotRangeMethod" -> 1, "PolygonReduction2D" -> None,
  2048. "PolygonReduction3D" -> None, "SymbolicGraphics" -> True,
  2049. "Verbose" -> False, "VerboseDelay" -> 0., "VertexTexture" ->
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  2051. "WaitUntilEnable" -> True, "WaveletOptions" ->
  2052. {"AllowUserDefinedWavelets" -> True,
  2053. "DefaultContinuousWavelet" -> Automatic,
  2054. "DefaultDiscreteWavelet" -> Automatic, "ParallelThreading" ->
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  2058. HoldForm[{"ADDSolveBound" -> 8, "AlgebraicNumberOutput" -> True,
  2059. "BDDEliminate" -> Automatic, "BooleanInstanceMethod" -> Automatic,
  2060. "BranchLinearDiophantine" -> False, "CacheReduceResults" ->
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  2062. "ExhaustiveSearchMaxPoints" -> {1000, 10000}, "FactorEquations" ->
  2063. Automatic, "FactorInequalities" -> False, "FinitePrecisionGB" ->
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  2065. "IntervalRootsOptions" -> {"AllowIncomplete" -> True,
  2066. "FailDepth" -> 20, "MaxDepth" -> 50, "MaxFailures" -> 100,
  2067. "MaxIncomplete" -> 1000, "MaxSimplified" -> 1000,
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  2069. "LatticeReduceDiophantine" -> True, "LinearEliminationMaxDepth" ->
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  2071. 1000000, "MaxModularRoots" -> 1000000, "MaxPrimeIndex" ->
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  2074. "RealRootsOptions" -> {"MaxExtensionDegree" -> 5,
  2075. "MaxFactorSquareFreeDegree" -> 10000, "MaxNestedRootsDegree" ->
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  2078. "SolveDiscreteSolutionBound" -> 1000000,
  2079. "SyntacticSolveAssumptions" -> False,
  2080. "TranscendentalRecursionLimit" -> 12, "UseNestedRoots" ->
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  2083. HoldForm[System`FrobeniusDump`op$99350 = {"ADDSolveBound" -> 8,
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  2085. "BooleanInstanceMethod" -> Automatic, "BranchLinearDiophantine" ->
  2086. False, "CacheReduceResults" -> Automatic,
  2087. "DiscreteSolutionBound" -> 10, "ExhaustiveSearchMaxPoints" ->
  2088. {1000, 10000}, "FactorEquations" -> Automatic,
  2089. "FactorInequalities" -> False, "FinitePrecisionGB" -> False,
  2090. "ImplicitIntegerSolutions" -> Automatic, "IntervalRootsOptions" ->
  2091. {"AllowIncomplete" -> True, "FailDepth" -> 20, "MaxDepth" -> 50,
  2092. "MaxFailures" -> 100, "MaxIncomplete" -> 1000, "MaxSimplified" ->
  2093. 1000, "MaxSteps" -> 100000, "MinPrecision" -> 12},
  2094. "LatticeReduceDiophantine" -> True, "LinearEliminationMaxDepth" ->
  2095. Infinity, "MaxFrobeniusGraph" -> 1000000, "MaxModularPoints" ->
  2096. 1000000, "MaxModularRoots" -> 1000000, "MaxPrimeIndex" ->
  2097. 1000000000, "NIntegrateTimeConstraint" -> 60, "PresburgerQE" ->
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  2099. "RealRootsOptions" -> {"MaxExtensionDegree" -> 5,
  2100. "MaxFactorSquareFreeDegree" -> 10000, "MaxNestedRootsDegree" ->
  2101. 100, "SparsityThreshold" -> 0.02}, "ReorderVariables" ->
  2102. Automatic, "SieveMaxPoints" -> {10000, 1000000},
  2103. "SolveDiscreteSolutionBound" -> 1000000,
  2104. "SyntacticSolveAssumptions" -> False,
  2105. "TranscendentalRecursionLimit" -> 12, "UseNestedRoots" ->
  2106. Automatic, "UseOldReduce" -> False, "UseTranscendentalRoots" ->
  2107. Automatic, "UseTranscendentalSolve" -> True}],
  2108. HoldForm[{"ADDSolveBound" -> 8, "AlgebraicNumberOutput" -> True,
  2109. "BDDEliminate" -> Automatic, "BooleanInstanceMethod" -> Automatic,
  2110. "BranchLinearDiophantine" -> False, "CacheReduceResults" ->
  2111. Automatic, "DiscreteSolutionBound" -> 10,
  2112. "ExhaustiveSearchMaxPoints" -> {1000, 10000}, "FactorEquations" ->
  2113. Automatic, "FactorInequalities" -> False, "FinitePrecisionGB" ->
  2114. False, "ImplicitIntegerSolutions" -> Automatic,
  2115. "IntervalRootsOptions" -> {"AllowIncomplete" -> True,
  2116. "FailDepth" -> 20, "MaxDepth" -> 50, "MaxFailures" -> 100,
  2117. "MaxIncomplete" -> 1000, "MaxSimplified" -> 1000,
  2118. "MaxSteps" -> 100000, "MinPrecision" -> 12},
  2119. "LatticeReduceDiophantine" -> True, "LinearEliminationMaxDepth" ->
  2120. Infinity, "MaxFrobeniusGraph" -> 1000000, "MaxModularPoints" ->
  2121. 1000000, "MaxModularRoots" -> 1000000, "MaxPrimeIndex" ->
  2122. 1000000000, "NIntegrateTimeConstraint" -> 60,
  2123. "PresburgerQE" -> Automatic, "QuickReduce" -> False,
  2124. "RandomInstances" -> Automatic, "RealRootsOptions" ->
  2125. {"MaxExtensionDegree" -> 5, "MaxFactorSquareFreeDegree" -> 10000,
  2126. "MaxNestedRootsDegree" -> 100, "SparsityThreshold" -> 0.02},
  2127. "ReorderVariables" -> Automatic, "SieveMaxPoints" ->
  2128. {10000, 1000000}, "SolveDiscreteSolutionBound" -> 1000000,
  2129. "SyntacticSolveAssumptions" -> False,
  2130. "TranscendentalRecursionLimit" -> 12, "UseNestedRoots" -> Automatic,
  2131. "UseOldReduce" -> False, "UseTranscendentalRoots" -> Automatic,
  2132. "UseTranscendentalSolve" -> True}]},
  2133. {{{{{HoldForm[Infinity], HoldForm[Infinity]},
  2134. HoldForm["DiscreteSolutionBound" -> Infinity],
  2135. HoldForm["DiscreteSolutionBound" -> Infinity]},
  2136. HoldForm[{"DiscreteSolutionBound" -> Infinity}]},
  2137. HoldForm["ReduceOptions" -> {"DiscreteSolutionBound" -> Infinity}],
  2138. HoldForm["ReduceOptions" -> {"DiscreteSolutionBound" -> Infinity}]},
  2139. HoldForm[SetSystemOptions["ReduceOptions" ->
  2140. {"DiscreteSolutionBound" -> Infinity}]],
  2141. HoldForm["ReduceOptions" -> {"ADDSolveBound" -> 8,
  2142. "AlgebraicNumberOutput" -> True, "BDDEliminate" -> Automatic,
  2143. "BooleanInstanceMethod" -> Automatic, "BranchLinearDiophantine" ->
  2144. False, "CacheReduceResults" -> Automatic,
  2145. "DiscreteSolutionBound" -> Infinity, "ExhaustiveSearchMaxPoints" ->
  2146. {1000, 10000}, "FactorEquations" -> Automatic,
  2147. "FactorInequalities" -> False, "FinitePrecisionGB" -> False,
  2148. "ImplicitIntegerSolutions" -> Automatic, "IntervalRootsOptions" ->
  2149. {"AllowIncomplete" -> True, "FailDepth" -> 20, "MaxDepth" -> 50,
  2150. "MaxFailures" -> 100, "MaxIncomplete" -> 1000, "MaxSimplified" ->
  2151. 1000, "MaxSteps" -> 100000, "MinPrecision" -> 12},
  2152. "LatticeReduceDiophantine" -> True, "LinearEliminationMaxDepth" ->
  2153. Infinity, "MaxFrobeniusGraph" -> 1000000, "MaxModularPoints" ->
  2154. 1000000, "MaxModularRoots" -> 1000000, "MaxPrimeIndex" ->
  2155. 1000000000, "NIntegrateTimeConstraint" -> 60, "PresburgerQE" ->
  2156. Automatic, "QuickReduce" -> False, "RandomInstances" -> Automatic,
  2157. "RealRootsOptions" -> {"MaxExtensionDegree" -> 5,
  2158. "MaxFactorSquareFreeDegree" -> 10000, "MaxNestedRootsDegree" ->
  2159. 100, "SparsityThreshold" -> 0.02}, "ReorderVariables" ->
  2160. Automatic, "SieveMaxPoints" -> {10000, 1000000},
  2161. "SolveDiscreteSolutionBound" -> 1000000,
  2162. "SyntacticSolveAssumptions" -> False,
  2163. "TranscendentalRecursionLimit" -> 12, "UseNestedRoots" ->
  2164. Automatic, "UseOldReduce" -> False, "UseTranscendentalRoots" ->
  2165. Automatic, "UseTranscendentalSolve" -> True}]},
  2166. HoldForm["ReduceOptions" -> {"ADDSolveBound" -> 8,
  2167. "AlgebraicNumberOutput" -> True, "BDDEliminate" -> Automatic,
  2168. "BooleanInstanceMethod" -> Automatic, "BranchLinearDiophantine" ->
  2169. False, "CacheReduceResults" -> Automatic,
  2170. "DiscreteSolutionBound" -> Infinity, "ExhaustiveSearchMaxPoints" ->
  2171. {1000, 10000}, "FactorEquations" -> Automatic,
  2172. "FactorInequalities" -> False, "FinitePrecisionGB" -> False,
  2173. "ImplicitIntegerSolutions" -> Automatic, "IntervalRootsOptions" ->
  2174. {"AllowIncomplete" -> True, "FailDepth" -> 20, "MaxDepth" -> 50,
  2175. "MaxFailures" -> 100, "MaxIncomplete" -> 1000, "MaxSimplified" ->
  2176. 1000, "MaxSteps" -> 100000, "MinPrecision" -> 12},
  2177. "LatticeReduceDiophantine" -> True, "LinearEliminationMaxDepth" ->
  2178. Infinity, "MaxFrobeniusGraph" -> 1000000, "MaxModularPoints" ->
  2179. 1000000, "MaxModularRoots" -> 1000000, "MaxPrimeIndex" ->
  2180. 1000000000, "NIntegrateTimeConstraint" -> 60,
  2181. "PresburgerQE" -> Automatic, "QuickReduce" -> False,
  2182. "RandomInstances" -> Automatic, "RealRootsOptions" ->
  2183. {"MaxExtensionDegree" -> 5, "MaxFactorSquareFreeDegree" -> 10000,
  2184. "MaxNestedRootsDegree" -> 100, "SparsityThreshold" -> 0.02},
  2185. "ReorderVariables" -> Automatic, "SieveMaxPoints" ->
  2186. {10000, 1000000}, "SolveDiscreteSolutionBound" -> 1000000,
  2187. "SyntacticSolveAssumptions" -> False,
  2188. "TranscendentalRecursionLimit" -> 12, "UseNestedRoots" -> Automatic,
  2189. "UseOldReduce" -> False, "UseTranscendentalRoots" -> Automatic,
  2190. "UseTranscendentalSolve" -> True}]},
  2191. {{{{HoldForm[System`FrobeniusDump`nulls$99350],
  2192. HoldForm[{{1, 4, -6}, {0, 7, -9}}]},
  2193. HoldForm[Transpose[{{1, 4, -6}, {0, 7, -9}}]],
  2194. HoldForm[{{1, 0}, {4, 7}, {-6, -9}}]},
  2195. {{HoldForm[System`FrobeniusDump`sol$99350], HoldForm[{0, 6, -7}]},
  2196. HoldForm[-{0, 6, -7}], HoldForm[{-1*0, -1*6, -(-7)}],
  2197. {HoldForm[-1*0], HoldForm[0]}, {HoldForm[-1*6], HoldForm[-6]},
  2198. {HoldForm[-(-7)], HoldForm[7]}, HoldForm[{0, -6, 7}]},
  2199. HoldForm[System`IntegerLinearDump`ICIntLinReduce[
  2200. {{1, 0}, {4, 7}, {-6, -9}}, {0, -6, 7}]],
  2201. HoldForm[Module[{System`IntegerLinearDump`n$,
  2202. System`IntegerLinearDump`Ap$, System`IntegerLinearDump`Rp$,
  2203. System`IntegerLinearDump`Ar$, System`IntegerLinearDump`tmp$,
  2204. System`IntegerLinearDump`bp$, System`IntegerLinearDump`ans$},
  2205. System`IntegerLinearDump`tmp$ = Transpose[{{1, 0}, {4, 7},
  2206. {-6, -9}}]; System`IntegerLinearDump`n$ =
  2207. Length[System`IntegerLinearDump`tmp$];
  2208. System`IntegerLinearDump`Ap$ =
  2209. System`IntegerLinearDump`localLatticeReduce[
  2210. System`IntegerLinearDump`tmp$]; System`IntegerLinearDump`DPrint[
  2211. "ICIntLinReduce 1 {A,b,Ap} ", {{{1, 0}, {4, 7}, {-6, -9}},
  2212. {0, -6, 7}, System`IntegerLinearDump`Ap$}];
  2213. If[Length[System`IntegerLinearDump`Ap$] <
  2214. System`IntegerLinearDump`n$, System`IntegerLinearDump`n$ =
  2215. Length[System`IntegerLinearDump`Ap$];
  2216. If[System`IntegerLinearDump`n$ == 0, Return[If[And @@
  2217. Thread[{0, -6, 7} <= 0], $Failed, {}]]];
  2218. System`IntegerLinearDump`tmp$ = Table[{-Infinity, Infinity},
  2219. {System`IntegerLinearDump`n$}]; System`IntegerLinearDump`ans$ =
  2220. System`IntegerLinearDump`sLinearProgramming[Table[0, {
  2221. System`IntegerLinearDump`n$}], Transpose[
  2222. System`IntegerLinearDump`Ap$], {0, -6, 7},
  2223. System`IntegerLinearDump`tmp$]; Return[
  2224. If[ListQ[System`IntegerLinearDump`ans$], $Failed, {}]]];
  2225. System`IntegerLinearDump`bp$ = Reduce`SmallDiophantineSolution[
  2226. {0, -6, 7}, System`IntegerLinearDump`Ap$];
  2227. System`IntegerLinearDump`Ar$ = Transpose[Reverse[
  2228. System`IntegerLinearDump`Ap$]]; System`IntegerLinearDump`Ap$ =
  2229. Transpose[System`IntegerLinearDump`Ap$];
  2230. System`IntegerLinearDump`Rp$ =
  2231. Inverse[System`IntegerLinearDump`tmp$ . {{1, 0}, {4, 7}, {-6,
  2232. -9}}] . (System`IntegerLinearDump`tmp$ .
  2233. System`IntegerLinearDump`Ap$); System`IntegerLinearDump`DPrint[
  2234. "ICIntLinReduce 2 {bp,Ar,Ap,Rp} ", {System`IntegerLinearDump`bp$,
  2235. System`IntegerLinearDump`Ar$, System`IntegerLinearDump`Ap$,
  2236. System`IntegerLinearDump`Rp$}]; System`IntegerLinearDump`ans$ =
  2237. Reduce`PolyhedronIntegerPoints[System`IntegerLinearDump`Ar$,
  2238. System`IntegerLinearDump`bp$];
  2239. If[ !ListQ[System`IntegerLinearDump`ans$],
  2240. Return[System`IntegerLinearDump`ans$]];
  2241. If[System`IntegerLinearDump`ans$ === {},
  2242. Return[System`IntegerLinearDump`ans$]];
  2243. System`IntegerLinearDump`ans$ = Reverse /@
  2244. System`IntegerLinearDump`ans$;
  2245. If[System`IntegerLinearDump`bp$ =!= {0, -6, 7},
  2246. System`IntegerLinearDump`tmp$ = LinearSolve[
  2247. System`IntegerLinearDump`Ap$, {0, -6, 7} -
  2248. System`IntegerLinearDump`bp$]; System`IntegerLinearDump`ans$ =
  2249. (System`IntegerLinearDump`tmp$ + #1 & ) /@
  2250. System`IntegerLinearDump`ans$];
  2251. (System`IntegerLinearDump`Rp$ . #1 & ) /@
  2252. System`IntegerLinearDump`ans$]],
  2253. {HoldForm[System`IntegerLinearDump`tmp$99352 =
  2254. Transpose[{{1, 0}, {4, 7}, {-6, -9}}];
  2255. System`IntegerLinearDump`n$99352 = Length[
  2256. System`IntegerLinearDump`tmp$99352];
  2257. System`IntegerLinearDump`Ap$99352 =
  2258. System`IntegerLinearDump`localLatticeReduce[
  2259. System`IntegerLinearDump`tmp$99352];
  2260. System`IntegerLinearDump`DPrint["ICIntLinReduce 1 {A,b,Ap} ",
  2261. {{{1, 0}, {4, 7}, {-6, -9}}, {0, -6, 7},
  2262. System`IntegerLinearDump`Ap$99352}];
  2263. If[Length[System`IntegerLinearDump`Ap$99352] <
  2264. System`IntegerLinearDump`n$99352,
  2265. System`IntegerLinearDump`n$99352 = Length[
  2266. System`IntegerLinearDump`Ap$99352];
  2267. If[System`IntegerLinearDump`n$99352 == 0,
  2268. Return[If[And @@ Thread[{0, -6, 7} <= 0], $Failed, {}]]];
  2269. System`IntegerLinearDump`tmp$99352 = Table[{-Infinity, Infinity},
  2270. {System`IntegerLinearDump`n$99352}];
  2271. System`IntegerLinearDump`ans$99352 =
  2272. System`IntegerLinearDump`sLinearProgramming[Table[0, {
  2273. System`IntegerLinearDump`n$99352}], Transpose[
  2274. System`IntegerLinearDump`Ap$99352], {0, -6, 7},
  2275. System`IntegerLinearDump`tmp$99352];
  2276. Return[If[ListQ[System`IntegerLinearDump`ans$99352], $Failed,
  2277. {}]]]; System`IntegerLinearDump`bp$99352 =
  2278. Reduce`SmallDiophantineSolution[{0, -6, 7},
  2279. System`IntegerLinearDump`Ap$99352];
  2280. System`IntegerLinearDump`Ar$99352 = Transpose[
  2281. Reverse[System`IntegerLinearDump`Ap$99352]];
  2282. System`IntegerLinearDump`Ap$99352 = Transpose[
  2283. System`IntegerLinearDump`Ap$99352];
  2284. System`IntegerLinearDump`Rp$99352 =
  2285. Inverse[System`IntegerLinearDump`tmp$99352 . {{1, 0}, {4, 7}, {-6,
  2286. -9}}] . (System`IntegerLinearDump`tmp$99352 .
  2287. System`IntegerLinearDump`Ap$99352);
  2288. System`IntegerLinearDump`DPrint["ICIntLinReduce 2 {bp,Ar,Ap,Rp} ",
  2289. {System`IntegerLinearDump`bp$99352,
  2290. System`IntegerLinearDump`Ar$99352,
  2291. System`IntegerLinearDump`Ap$99352,
  2292. System`IntegerLinearDump`Rp$99352}];
  2293. System`IntegerLinearDump`ans$99352 = Reduce`PolyhedronIntegerPoints[
  2294. System`IntegerLinearDump`Ar$99352,
  2295. System`IntegerLinearDump`bp$99352];
  2296. If[ !ListQ[System`IntegerLinearDump`ans$99352],
  2297. Return[System`IntegerLinearDump`ans$99352]];
  2298. If[System`IntegerLinearDump`ans$99352 === {},
  2299. Return[System`IntegerLinearDump`ans$99352]];
  2300. System`IntegerLinearDump`ans$99352 = Reverse /@
  2301. System`IntegerLinearDump`ans$99352;
  2302. If[System`IntegerLinearDump`bp$99352 =!= {0, -6, 7},
  2303. System`IntegerLinearDump`tmp$99352 = LinearSolve[
  2304. System`IntegerLinearDump`Ap$99352, {0, -6, 7} -
  2305. System`IntegerLinearDump`bp$99352];
  2306. System`IntegerLinearDump`ans$99352 =
  2307. (System`IntegerLinearDump`tmp$99352 + #1 & ) /@
  2308. System`IntegerLinearDump`ans$99352];
  2309. (System`IntegerLinearDump`Rp$99352 . #1 & ) /@
  2310. System`IntegerLinearDump`ans$99352],
  2311. {{HoldForm[Transpose[{{1, 0}, {4, 7}, {-6, -9}}]],
  2312. HoldForm[{{1, 4, -6}, {0, 7, -9}}]}, HoldForm[
  2313. System`IntegerLinearDump`tmp$99352 = {{1, 4, -6}, {0, 7, -9}}],
  2314. HoldForm[{{1, 4, -6}, {0, 7, -9}}]},
  2315. {{{HoldForm[System`IntegerLinearDump`tmp$99352],
  2316. HoldForm[{{1, 4, -6}, {0, 7, -9}}]}, HoldForm[
  2317. Length[{{1, 4, -6}, {0, 7, -9}}]], HoldForm[2]},
  2318. HoldForm[System`IntegerLinearDump`n$99352 = 2], HoldForm[2]},
  2319. {{{HoldForm[System`IntegerLinearDump`tmp$99352],
  2320. HoldForm[{{1, 4, -6}, {0, 7, -9}}]}, HoldForm[
  2321. System`IntegerLinearDump`localLatticeReduce[{{1, 4, -6},
  2322. {0, 7, -9}}]], HoldForm[Module[{System`IntegerLinearDump`tmp$},
  2323. Internal`WithLocalSettings[System`IntegerLinearDump`tmp$ =
  2324. "LatticeReduceRatioParameter" /. ("LatticeReduceOptions" /.
  2325. SystemOptions[]); SetSystemOptions["LatticeReduceOptions" ->
  2326. {"LatticeReduceRatioParameter" -> 0.9999}],
  2327. LatticeReduce[{{1, 4, -6}, {0, 7, -9}}], SetSystemOptions[
  2328. "LatticeReduceOptions" -> {"LatticeReduceRatioParameter" ->
  2329. System`IntegerLinearDump`tmp$}]]]],
  2330. {HoldForm[Internal`WithLocalSettings[
  2331. System`IntegerLinearDump`tmp$99353 =
  2332. "LatticeReduceRatioParameter" /. ("LatticeReduceOptions" /.
  2333. SystemOptions[]); SetSystemOptions["LatticeReduceOptions" ->
  2334. {"LatticeReduceRatioParameter" -> 0.9999}],
  2335. LatticeReduce[{{1, 4, -6}, {0, 7, -9}}], SetSystemOptions[
  2336. "LatticeReduceOptions" -> {"LatticeReduceRatioParameter" ->
  2337. System`IntegerLinearDump`tmp$99353}]]],
  2338. {HoldForm[System`IntegerLinearDump`tmp$99353 =
  2339. "LatticeReduceRatioParameter" /. ("LatticeReduceOptions" /.
  2340. SystemOptions[]); SetSystemOptions["LatticeReduceOptions" ->
  2341. {"LatticeReduceRatioParameter" -> 0.9999}]],
  2342. {{{{HoldForm[SystemOptions[]], {{{HoldForm[IgnoreCase -> True],
  2343. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2344. True}]}, HoldForm[StringMatchQ["CatchMachineUnderflow",
  2345. "*", {IgnoreCase -> True}]], HoldForm[True]},
  2346. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2347. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2348. StringMatchQ["MachineRealPrintPrecision", "*",
  2349. {IgnoreCase -> True}]], HoldForm[True]},
  2350. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2351. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2352. StringMatchQ["RestorePackageDependencies", "*",
  2353. {IgnoreCase -> True}]], HoldForm[True]},
  2354. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2355. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2356. StringMatchQ["FormatSortHashableRules", "*",
  2357. {IgnoreCase -> True}]], HoldForm[True]},
  2358. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2359. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2360. StringMatchQ["EvaluateErrorExceptions", "*",
  2361. {IgnoreCase -> True}]], HoldForm[True]},
  2362. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2363. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2364. StringMatchQ["GraphicsNewTextFormat", "*", {IgnoreCase ->
  2365. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  2366. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  2367. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  2368. "GraphicsBoxes", "*", {IgnoreCase -> True}]],
  2369. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  2370. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2371. True}]}, HoldForm[StringMatchQ["PauseSubsecond", "*",
  2372. {IgnoreCase -> True}]], HoldForm[True]},
  2373. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2374. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2375. StringMatchQ["PostScriptBufferSize", "*", {IgnoreCase ->
  2376. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  2377. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  2378. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  2379. "ReportInterruptMessages", "*", {IgnoreCase -> True}]],
  2380. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  2381. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2382. True}]}, HoldForm[StringMatchQ[
  2383. "EvaluatePlottingFunctionArgument", "*", {IgnoreCase ->
  2384. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  2385. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  2386. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  2387. "ExtendedInverseFunction", "*", {IgnoreCase -> True}]],
  2388. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  2389. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2390. True}]}, HoldForm[StringMatchQ[
  2391. "NumericalFunctionCoercionTolerance", "*", {IgnoreCase ->
  2392. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  2393. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  2394. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  2395. "NumericalFunctionDerivativeFallback", "*",
  2396. {IgnoreCase -> True}]], HoldForm[True]},
  2397. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2398. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2399. StringMatchQ["EvaluateNumericalFunctionArgument", "*",
  2400. {IgnoreCase -> True}]], HoldForm[True]},
  2401. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2402. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2403. StringMatchQ["VectorInputOverride", "*", {IgnoreCase ->
  2404. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  2405. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  2406. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  2407. "AllocationOptions", "*", {IgnoreCase -> True}]],
  2408. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  2409. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2410. True}]}, HoldForm[StringMatchQ["ArithmeticOptions", "*",
  2411. {IgnoreCase -> True}]], HoldForm[True]},
  2412. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2413. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2414. StringMatchQ["UnivariatePolynomialOptions", "*",
  2415. {IgnoreCase -> True}]], HoldForm[True]},
  2416. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2417. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2418. StringMatchQ["CacheOptions", "*", {IgnoreCase -> True}]],
  2419. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  2420. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2421. True}]}, HoldForm[StringMatchQ["CompileOptions", "*",
  2422. {IgnoreCase -> True}]], HoldForm[True]},
  2423. {HoldForm[Parallel`Settings`$RelaunchFailedKernels],
  2424. HoldForm[True]}, {HoldForm[Parallel`Settings`$BusyWait],
  2425. HoldForm[0.01]}, {HoldForm[
  2426. Parallel`Settings`$MathLinkTimeout], HoldForm[15.]},
  2427. {HoldForm[Parallel`Settings`$RecoveryMode], HoldForm[
  2428. "Retry"]}, {HoldForm[Parallel`Settings`$AbortPause],
  2429. HoldForm[2.]}, {{{HoldForm[IgnoreCase -> True], HoldForm[
  2430. IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  2431. HoldForm[StringMatchQ["ParallelOptions", "*",
  2432. {IgnoreCase -> True}]], HoldForm[True]},
  2433. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2434. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2435. StringMatchQ["LinearEquationOptions", "*", {IgnoreCase ->
  2436. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  2437. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  2438. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  2439. "GroebnerBasisOptions", "*", {IgnoreCase -> True}]],
  2440. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  2441. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2442. True}]}, HoldForm[StringMatchQ["HashOptions", "*",
  2443. {IgnoreCase -> True}]], HoldForm[True]},
  2444. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2445. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2446. StringMatchQ["NeedNotReevaluateOptions", "*",
  2447. {IgnoreCase -> True}]], HoldForm[True]},
  2448. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2449. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2450. StringMatchQ["LatticeReduceOptions", "*", {IgnoreCase ->
  2451. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  2452. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  2453. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  2454. "PackedArrayOptions", "*", {IgnoreCase -> True}]],
  2455. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  2456. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2457. True}]}, HoldForm[StringMatchQ[
  2458. "PolynomialAlgebraOptions", "*", {IgnoreCase -> True}]],
  2459. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  2460. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2461. True}]}, HoldForm[StringMatchQ["AlgebraicsOptions", "*",
  2462. {IgnoreCase -> True}]], HoldForm[True]},
  2463. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2464. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2465. StringMatchQ["InequalitySolvingOptions", "*",
  2466. {IgnoreCase -> True}]], HoldForm[True]},
  2467. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2468. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2469. StringMatchQ["OptimizationOptions", "*", {IgnoreCase ->
  2470. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  2471. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  2472. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  2473. "PiecewiseOptions", "*", {IgnoreCase -> True}]],
  2474. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  2475. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2476. True}]}, HoldForm[StringMatchQ["ReduceOptions", "*",
  2477. {IgnoreCase -> True}]], HoldForm[True]},
  2478. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2479. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2480. StringMatchQ["VisualizationOptions", "*", {IgnoreCase ->
  2481. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  2482. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  2483. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  2484. "SimplificationOptions", "*", {IgnoreCase -> True}]],
  2485. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  2486. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2487. True}]}, HoldForm[StringMatchQ[
  2488. "SpecialFunctionsOptions", "*", {IgnoreCase -> True}]],
  2489. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  2490. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2491. True}]}, HoldForm[StringMatchQ[
  2492. "BooleanComputationOptions", "*", {IgnoreCase -> True}]],
  2493. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  2494. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2495. True}]}, HoldForm[StringMatchQ["NSolveOptions", "*",
  2496. {IgnoreCase -> True}]], HoldForm[True]},
  2497. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2498. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2499. StringMatchQ["PCREOptions", "*", {IgnoreCase -> True}]],
  2500. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  2501. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2502. True}]}, HoldForm[StringMatchQ[
  2503. "AlgebraicThreadThroughHeads", "*", {IgnoreCase ->
  2504. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  2505. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  2506. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  2507. "ConditionalAnswerFormat", "*", {IgnoreCase -> True}]],
  2508. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  2509. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2510. True}]}, HoldForm[StringMatchQ["FourierOptions", "*",
  2511. {IgnoreCase -> True}]], HoldForm[True]},
  2512. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2513. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2514. StringMatchQ["GraphPlotOptions", "*", {IgnoreCase ->
  2515. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  2516. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  2517. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  2518. "FindMinimumOptions", "*", {IgnoreCase -> True}]],
  2519. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  2520. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2521. True}]}, HoldForm[StringMatchQ["SparseArrayOptions",
  2522. "*", {IgnoreCase -> True}]], HoldForm[True]},
  2523. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2524. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2525. StringMatchQ["LinearProgrammingOptions", "*",
  2526. {IgnoreCase -> True}]], HoldForm[True]},
  2527. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2528. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2529. StringMatchQ["LinearAlgebraOptions", "*", {IgnoreCase ->
  2530. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
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  2532. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  2533. "TerminateOptions", "*", {IgnoreCase -> True}]],
  2534. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  2535. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2536. True}]}, HoldForm[StringMatchQ["DifferentiationOptions",
  2537. "*", {IgnoreCase -> True}]], HoldForm[True]},
  2538. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2539. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2540. StringMatchQ["LegacyFrontEnd", "*", {IgnoreCase -> True}]],
  2541. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  2542. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2543. True}]}, HoldForm[StringMatchQ["EnforceCallPacket", "*",
  2544. {IgnoreCase -> True}]], HoldForm[True]},
  2545. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2546. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2547. StringMatchQ["WaitUntilEnable", "*", {IgnoreCase ->
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  2553. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2554. True}]}, HoldForm[StringMatchQ[
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  2557. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2558. True}]}, HoldForm[StringMatchQ[
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  2561. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2562. True}]}, HoldForm[StringMatchQ[
  2563. "PreemptiveEvaluationFrequent", "*", {IgnoreCase ->
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  2569. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2570. True}]}, HoldForm[StringMatchQ[
  2571. "DynamicCreatedSymbolsUpdateHold", "*", {IgnoreCase ->
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  2575. "ZeroTestNumericalPrecision", "*", {IgnoreCase -> True}]],
  2576. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  2577. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2578. True}]}, HoldForm[StringMatchQ["ZeroTestMaxPrecision",
  2579. "*", {IgnoreCase -> True}]], HoldForm[True]},
  2580. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2581. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2582. StringMatchQ["StrictLexicalScoping", "*", {IgnoreCase ->
  2583. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
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  2586. "MaxPatternMatchRecursion", "*", {IgnoreCase -> True}]],
  2587. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  2588. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2589. True}]}, HoldForm[StringMatchQ["MessageRecursionLimit",
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  2591. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2592. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2593. StringMatchQ["MessageHandlersRecursion", "*",
  2594. {IgnoreCase -> True}]], HoldForm[True]},
  2595. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2596. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2597. StringMatchQ["LegacyNewlineParsingInStrings", "*",
  2598. {IgnoreCase -> True}]], HoldForm[True]},
  2599. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
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  2607. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2608. True}]}, HoldForm[StringMatchQ[
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  2611. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2612. True}]}, HoldForm[StringMatchQ["SymbolicSumThreshold",
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  2614. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
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  2619. True}]}, HoldForm[StringMatchQ["RawArrayOptions", "*",
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  2621. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2622. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  2623. StringMatchQ["ImageProcessingOptions", "*", {IgnoreCase ->
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  2629. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2630. True}]}, HoldForm[StringMatchQ["ImportExportOptions",
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  2632. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
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  2635. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  2636. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2637. True}]}, HoldForm[StringMatchQ["FiniteElementOptions",
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  2639. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
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  2642. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
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  2644. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  2645. "GraphOptions", "*", {IgnoreCase -> True}]], HoldForm[
  2646. True]}, {{{HoldForm[IgnoreCase -> True], HoldForm[
  2647. IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  2648. HoldForm[StringMatchQ["ProcessPriority", "*",
  2649. {IgnoreCase -> True}]], HoldForm[True]},
  2650. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2651. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
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  2655. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  2656. "TypesetOptions", "*", {IgnoreCase -> True}]],
  2657. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  2658. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2659. True}]}, HoldForm[StringMatchQ["DataOptions", "*",
  2660. {IgnoreCase -> True}]], HoldForm[True]},
  2661. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2662. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
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  2664. {IgnoreCase -> True}]], HoldForm[True]},
  2665. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  2666. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
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  2672. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  2673. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  2674. True}]}, HoldForm[StringMatchQ["RegionOptions", "*",
  2675. {IgnoreCase -> True}]], HoldForm[True]},
  2676. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
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  2685. True}]}, HoldForm[StringMatchQ["MutationHandlers", "*",
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  2694. "PolynomialGCDCrossover" -> 14,
  2695. "RealRootIsolationCrossover" -> 10,
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  2697. "AlgebraicThreadThroughHeads" -> {And, Equal, Greater,
  2698. GreaterEqual, Implies, Inequality, Less, LessEqual, List,
  2699. Nand, Nor, Not, Or, Rule, Unequal, Xor},
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  2702. "ReplaceMKLAllocator" -> True}, "ArithmeticOptions" ->
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  2707. "ExpCrossoverWords" -> 140,
  2708. "ExtendedGCDCrossoverWords" -> 5000,
  2709. "FactorialCrossover" -> 1024,
  2710. "FromContinuedFractionCrossoverTerms" -> 150,
  2711. "FromDigitsCrossoverWords" -> 160,
  2712. "GaussianExtendedGCDCrossoverWords" -> 60,
  2713. "GaussianGCDCrossoverWords" -> 60, "GCDCrossoverWords" ->
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  2718. "LogCrossoverWords" -> 26,
  2719. "SinCosArgumentReductionFactor" -> 0.6,
  2720. "SinCosCrossoverWords" -> 260,
  2721. "SinhCoshArgumentReductionFactor" -> 0.6,
  2722. "SinhCoshCrossoverWords" -> 155, "SinhCoshUsingExp" ->
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  2740. 1000000, "KeyComparison" -> None,
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  2743. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  2744. 500000000, "CacheResultMaxBytes" -> 500000000,
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  2746. LessEqual}, "Image" -> {"Cache" -> True,
  2747. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
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  2749. "CacheResultMaxBytes" -> 9223372036854775807,
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  2753. "CacheKeyMaxBytes" -> 1000000, "CacheResultMaxBytes" ->
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  2758. "CacheKeyMaxBytes" -> 1000000, "CacheResultMaxBytes" ->
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  2760. "ResultComparison" -> LessEqual}, "Quantity" ->
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  2763. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
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  2766. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  2767. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
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  2772. "AutoCompileProtectValues" -> False,
  2773. "AutomaticCompile" -> False, "BinaryTensorArithmetic" ->
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  2775. "CompileConfirmInitializedVariables" -> True,
  2776. "CompiledFunctionArgumentCoercionTolerance" ->
  2777. 2.1072099696478683, "CompiledFunctionMaxFailures" -> 3,
  2778. "CompileDynamicScoping" -> False,
  2779. "CompileEvaluateConstants" -> True,
  2780. "CompileOptimizeRegisters" -> False,
  2781. "CompileParallelizationThreshold" -> 10,
  2782. "CompileReportCoercion" -> False,
  2783. "CompileReportExternal" -> False,
  2784. "CompileReportFailure" -> False, "CompileValuesLast" ->
  2785. True, "FoldCompileLength" -> 100,
  2786. "InternalCompileMessages" -> False,
  2787. "ListableFunctionCompileLength" -> 250,
  2788. "MapCompileLength" -> 100, "NestCompileLength" -> 100,
  2789. "NumericalAllowExternal" -> False,
  2790. "ProductCompileLength" -> 250, "ReuseTensorRegisters" ->
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  2792. "SystemCompileOptimizations" -> All,
  2793. "TableCompileLength" -> 250},
  2794. "ConditionalAnswerFormat" -> "ConditionalExpression",
  2795. "DataOptions" -> {"DataPacletParse" -> False,
  2796. "ReturnEntities" -> True, "ReturnQuantities" -> True,
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  2801. "ExcludedFunctions" -> {Hold, HoldComplete, Less,
  2802. LessEqual, Greater, GreaterEqual, Inequality, Unequal,
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  2808. "DynamicLibraryOptions" -> {"DynamicLibraryGlobal" -> True,
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  2811. "EvaluateErrorExceptions" -> False,
  2812. "EvaluateNumericalFunctionArgument" -> True,
  2813. "EvaluatePlottingFunctionArgument" -> False,
  2814. "ExtendedInverseFunction" -> True,
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  2816. False, "FileBackedCaching" -> True, "MaxByteCount" ->
  2817. 536870912, "UpdateCheck" -> True},
  2818. "FindMinimumOptions" -> {"DefaultInteriorPointMethod" ->
  2819. "IPOPT", "TreatQuadraticProgramming" -> 0},
  2820. "FiniteElementOptions" -> {"CacheInterpolationElements" ->
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  2822. "DefaultElementMeshOrder" -> 2,
  2823. "DefaultExtrapolationHandler" -> {Indeterminate & ,
  2824. "WarningMessage" -> True}, "DefaultNumberOfElements" ->
  2825. 20, "InterpolationToleranceFactor" -> 0.0001,
  2826. "MinimumElementMeshQuality" -> 0.,
  2827. "SymbolicProcessing" -> 1.}, "FormatSortHashableRules" ->
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  2829. {"CacheInitializationSizeLimit" -> 65537,
  2830. "ConvolutionExtraMemoryLimit" -> Infinity,
  2831. "ConvolutionLibrary" -> "MKL",
  2832. "FFTConvolutionCostFactor" -> 1., "FFTLibrary" -> "MKL",
  2833. "SixStepSize" -> 100000}, "GeometricFunctionsOptions" ->
  2834. {"UseAlternateSparseSolver" -> False}, "GlobFileNames" ->
  2835. False, "GraphicsBoxes" -> True, "GraphicsNewTextFormat" ->
  2836. True, "GraphOptions" -> {"CacheResults" -> True,
  2837. "EdgeCountThreshold" -> 10000, "RenderingOrder" ->
  2838. "VertexFirst", "VertexCountThreshold" -> 1000},
  2839. "GraphPlotOptions" -> {"ArrowThreshold" -> 1048576,
  2840. "BarnesHutOpeningCriterion" -> 1.2, "FineSteps" -> False,
  2841. "InertiaSymmetryThreshold" -> 0.05,
  2842. "MinimumReductionFactor" -> 0.75,
  2843. "NumberBezierSplinePoints" -> 10, "OctreeThreshold" ->
  2844. 20, "PolyminoNumber" -> 100, "PolyminoPacking" -> False,
  2845. "PolyminoPadding" -> 5, "RepulsiveForceConstant" -> 0.2,
  2846. "ScaleCoordinates" -> True,
  2847. "ScaleCoordinatesForUnitAverageEdgeLength" -> True,
  2848. "VertexLabelThreshold" -> 1048576,
  2849. "VertexPointThreshold" -> 500}, "GroebnerBasisOptions" ->
  2850. {"EliminateFromGroebnerBasis" -> True,
  2851. "SyzygyCriterionLevel" -> 2, "UseGroebnerTrace" ->
  2852. Automatic}, "GroupTheoryOptions" ->
  2853. {"RandomizedSchreierSimsChecks" -> 100,
  2854. "StandardListToCyclesConvention" -> True},
  2855. "HashOptions" -> {"HashArrayLengthThreshold" -> Infinity,
  2856. "HashByteLengthThreshold" -> Infinity,
  2857. "HashTableGrowLoadFactor" -> 2.,
  2858. "HashTableShrinkLoadFactor" -> 0.5},
  2859. "HolonomicOptions" -> {"FunctionSymbol" -> \[FormalY],
  2860. "IteratorSymbol" -> \[FormalN], "MaxHolonomicOrder" ->
  2861. 64, "MaxPolynomialDegree" -> 64, "SequenceSymbol" ->
  2862. \[FormalY], "VariableSymbol" -> \[FormalX]},
  2863. "ImageProcessingOptions" -> {"Accelerators" -> {"IPP"},
  2864. "Timing" -> False, "Verbose" -> False},
  2865. "ImportExportOptions" -> {"Verbose" -> False},
  2866. "InequalitySolvingOptions" -> {"ARSDecision" -> False,
  2867. "BrownProjection" -> True, "CAD" -> True,
  2868. "CADAlgebraicCoefficients" -> True,
  2869. "CADBacksubstitution" -> Automatic, "CADCombineCells" ->
  2870. True, "CADConstruction" -> Automatic,
  2871. "CADDefaultPrecision" -> 30.102999566398122,
  2872. "CADExtraPrecision" -> 30.102999566398122, "CADMethod" ->
  2873. Automatic, "CADNRootsMethod" -> Automatic,
  2874. "CADSimplifyBounds" -> True, "CADSortVariables" ->
  2875. Automatic, "CADZeroTest" -> {0, Infinity},
  2876. "EquationalConstraintsCAD" -> Automatic,
  2877. "FGLMBasisConversion" -> False, "FGLMElimination" ->
  2878. Automatic, "GenericCAD" -> True, "GroebnerCAD" -> True,
  2879. "LinearDecisionMethodCrossovers" -> {0, 30, 20,
  2880. Automatic}, "LinearEquations" -> True, "LinearQE" ->
  2881. True, "LWDecision" -> True, "LWPreprocessor" ->
  2882. Automatic, "NumericVariableRoots" -> Automatic,
  2883. "ProjectAlgebraic" -> Automatic, "ProveMultiplicities" ->
  2884. True, "QuadraticQE" -> Automatic, "QVSPreprocessor" ->
  2885. False, "ReducePowers" -> Automatic, "RootReduced" ->
  2886. False, "Simplex" -> True, "SimplifyInequalities" ->
  2887. Automatic, "ThreadOr" -> True, "ZengDecision" -> False},
  2888. "LatticeReduceOptions" -> {"LatticeReduceArithmetic" ->
  2889. InexactNumbers, "LatticeReduceInnerProduct" ->
  2890. Automatic, "LatticeReduceLazySizeReduction" ->
  2891. Automatic, "LatticeReduceRatioParameter" -> Automatic},
  2892. "LegacyFrontEnd" -> False,
  2893. "LegacyNewlineParsingInStrings" -> False,
  2894. "LinearAlgebraOptions" -> {"ArnoldiDensityRatio" -> 0.2,
  2895. "ArnoldiEigenvaluesWarningRatio" -> 0.5,
  2896. "ArnoldiExtraIterations" -> 100,
  2897. "AutomaticArnoldiEigenvaluesWarningRatio" -> 0.2,
  2898. "DetectStructure" -> Automatic,
  2899. "LeastSquaresIterDiagConst" -> 1.*^-8,
  2900. "LinearSolveTryLeastSquares" -> False,
  2901. "UseIntegerBlas" -> Automatic},
  2902. "LinearEquationOptions" -> {"BandedMatrixDensityRatio" ->
  2903. 0.5, "GMRESCheckPrecToNonprecRatio" -> True,
  2904. "GMRESStoppingCriterionMultiplier" -> 1.001,
  2905. "SparseMaxDensity" -> 0.04,
  2906. "SparseMinNumberOfEquations" -> 50},
  2907. "LinearProgrammingOptions" ->
  2908. {"AggressiveDenseColumnIdentification" -> False,
  2909. "InteriorPointAlwaysReturnSolution" -> False,
  2910. "InteriorPointSize" -> 100,
  2911. "MaxAugmentedSystemRefinement" -> 2,
  2912. "MaxNormalSystemRefinement" -> 30,
  2913. "NormalSystemRefinementMethod" -> 1,
  2914. "NumberCoefficientsOnly" -> False, "Preprocessing" ->
  2915. True, "RevisedSimplexCutOffRatio" -> 2.,
  2916. "RevisedSimplexSize" -> 200},
  2917. "MachineRealPrintPrecision" -> 6, "MainLoopPauseLength" ->
  2918. 1, "MainLoopPreemptiveCheck" -> True,
  2919. "MaxPathHashCount" -> 10000, "MaxPatternMatchRecursion" ->
  2920. 24000, "MessageHandlersRecursion" -> False,
  2921. "MessageRecursionLimit" -> 1024, "MutationHandlers" ->
  2922. True, "NDSolveOptions" ->
  2923. {"DefaultScanDiscontinuityTimeConstraint" -> 1.,
  2924. "DefaultSolveTimeConstraint" -> 1.},
  2925. "NeedNotReevaluateOptions" -> {"MaxDepth" -> Infinity,
  2926. "MaxStorageDepth" -> Infinity}, "NSolveOptions" ->
  2927. {"ComplexEquationMethod" -> Automatic, "MonomialOrder" ->
  2928. Automatic, "ReorderVariables" -> True,
  2929. "SelectCriterion" -> (True & ), "Tolerance" -> 0,
  2930. "UseSlicingHyperplanes" -> True},
  2931. "NumericalFunctionCoercionTolerance" -> 2.1072099696478683,
  2932. "NumericalFunctionDerivativeFallback" -> True,
  2933. "OptimizationOptions" -> {"AddEquation" -> True,
  2934. "IntegerOptimumCandidates" -> 10}, "PackageFormat" ->
  2935. True, "PackedArrayOptions" -> {"ListableAutoPackLength" ->
  2936. 250, "PackedArrayMathLinkRead" -> True,
  2937. "UnpackMessage" -> False}, "ParallelOptions" ->
  2938. {"AbortPause" -> 2., "BusyWait" -> 0.01,
  2939. "MachineFunctionParallelThreshold0" -> 32768,
  2940. "MachineFunctionParallelThreshold1" -> 32768,
  2941. "MachineFunctionParallelThreshold2" -> 16384,
  2942. "MachineFunctionParallelThreshold3" -> 16384,
  2943. "MathLinkTimeout" -> 15., "MKLThreadNumber" -> 4,
  2944. "ParallelThreadNumber" -> 4, "RecoveryMode" -> "Retry",
  2945. "RelaunchFailedKernels" -> True}, "PauseSubsecond" ->
  2946. True, "PCREOptions" -> {"MatchLimit" -> 15000000,
  2947. "MatchLimitRecursion" -> 10000}, "PiecewiseOptions" ->
  2948. {"BooleanResult" -> Automatic, "ConditionSimplifier" ->
  2949. Automatic, "DirectExpansionCrossovers" -> {10, 7.,
  2950. False}, "EliminateConditions" -> True,
  2951. "ExpandSpecialPiecewise" -> True, "FactorInequalities" ->
  2952. True, "FullStrengthInference" -> False,
  2953. "OrderlessConditions" -> Automatic, "Parallel" ->
  2954. Automatic, "RefineConditions" -> True,
  2955. "Simplification" -> True, "StrictCalculus" -> Automatic,
  2956. "ValueSimplifier" -> Automatic},
  2957. "PolynomialAlgebraOptions" -> {"ClassicPolynomialGCD" ->
  2958. True, "ConvolutionTimes" -> Automatic,
  2959. "DensePolynomialHeuristic" -> True,
  2960. "DivideAndConquerPower" -> Automatic,
  2961. "EnhancedPolynomialGCD" -> True, "IteratedSquarePower" ->
  2962. Automatic, "PolynomialExpand" -> Automatic,
  2963. "UseNewIntPolyGcd" -> False}, "PostScriptBufferSize" ->
  2964. 32768, "PreemptiveCheckUseThreads" -> True,
  2965. "PreemptiveEvaluationFrequent" -> True,
  2966. "ProcessPriority" -> "Normal", "RawArrayOptions" ->
  2967. {"AccurateReal32" -> True, "ModularArithmetic" -> True},
  2968. "ReduceOptions" -> {"ADDSolveBound" -> 8,
  2969. "AlgebraicNumberOutput" -> True, "BDDEliminate" ->
  2970. Automatic, "BooleanInstanceMethod" -> Automatic,
  2971. "BranchLinearDiophantine" -> False,
  2972. "CacheReduceResults" -> Automatic,
  2973. "DiscreteSolutionBound" -> Infinity,
  2974. "ExhaustiveSearchMaxPoints" -> {1000, 10000},
  2975. "FactorEquations" -> Automatic, "FactorInequalities" ->
  2976. False, "FinitePrecisionGB" -> False,
  2977. "ImplicitIntegerSolutions" -> Automatic,
  2978. "IntervalRootsOptions" -> {"AllowIncomplete" -> True,
  2979. "FailDepth" -> 20, "MaxDepth" -> 50, "MaxFailures" ->
  2980. 100, "MaxIncomplete" -> 1000, "MaxSimplified" -> 1000,
  2981. "MaxSteps" -> 100000, "MinPrecision" -> 12},
  2982. "LatticeReduceDiophantine" -> True,
  2983. "LinearEliminationMaxDepth" -> Infinity,
  2984. "MaxFrobeniusGraph" -> 1000000, "MaxModularPoints" ->
  2985. 1000000, "MaxModularRoots" -> 1000000,
  2986. "MaxPrimeIndex" -> 1000000000,
  2987. "NIntegrateTimeConstraint" -> 60, "PresburgerQE" ->
  2988. Automatic, "QuickReduce" -> False, "RandomInstances" ->
  2989. Automatic, "RealRootsOptions" ->
  2990. {"MaxExtensionDegree" -> 5,
  2991. "MaxFactorSquareFreeDegree" -> 10000,
  2992. "MaxNestedRootsDegree" -> 100, "SparsityThreshold" ->
  2993. 0.02}, "ReorderVariables" -> Automatic,
  2994. "SieveMaxPoints" -> {10000, 1000000},
  2995. "SolveDiscreteSolutionBound" -> 1000000,
  2996. "SyntacticSolveAssumptions" -> False,
  2997. "TranscendentalRecursionLimit" -> 12, "UseNestedRoots" ->
  2998. Automatic, "UseOldReduce" -> False,
  2999. "UseTranscendentalRoots" -> Automatic,
  3000. "UseTranscendentalSolve" -> True}, "RegionOptions" ->
  3001. {"MeshBooleanMethod" -> "External",
  3002. "MeshConversionMessages" -> False,
  3003. "MeshCountThreshold" -> 1048576, "MeshDisplay" -> True,
  3004. "RegionSimplifyMaxLength" -> 10},
  3005. "ReportInterruptMessages" -> False,
  3006. "RestorePackageDependencies" -> True,
  3007. "SimplificationOptions" ->
  3008. {"AssumptionsMaxNonlinearVariables" -> 4,
  3009. "AssumptionsMaxVariables" -> 21, "AutosimplifyTrigs" ->
  3010. True, "AutosimplifyTwoArgumentLog" -> True,
  3011. "FiniteSumMaxTerms" -> 30, "FunctionExpandMaxSteps" ->
  3012. 15, "ListableFirst" -> True, "RestartELProver" -> False,
  3013. "SimplifyMaxExponents" -> 100, "SimplifyToPiecewise" ->
  3014. True}, "SparseArrayOptions" -> {"DotDensityThreshold" ->
  3015. 1., "DotDensityVectorThreshold" -> 0.25,
  3016. "DotLengthThreshold" -> 10, "GraphicsFactor" -> 0.075,
  3017. "IndexHashThreshold" -> 0.01, "MaxUnsparsifyElements" ->
  3018. Infinity, "SortDensityThreshold" -> 0.1,
  3019. "SortLengthThreshold" -> 10, "TreatRepeatedEntries" ->
  3020. First}, "SpecialFunctionsOptions" ->
  3021. {"BernoulliBCrossoverIndex" -> 3000,
  3022. "BernoulliBOverFactorialRecursiveIndexThreshold" -> 500,
  3023. "BesselHalfIndexExpand" -> True, "BinomialCrossover" ->
  3024. 4000, "BinomialGenericZero" -> True,
  3025. "BinomialPolynomialEvaluationThreshold" -> 5,
  3026. "EulerECrossoverIndex" -> 60, "GammaMethodCrossover" ->
  3027. 800}, "StrictLexicalScoping" -> False,
  3028. "SymbolicProductThreshold" -> 1000000,
  3029. "SymbolicSumThreshold" -> 1000000, "TerminateOptions" ->
  3030. {"ExitOnTerminate" -> True, "TerminateForwardLink" ->
  3031. Null, "TerminateWatchForwardLink" -> Null},
  3032. "ThresholdByModulus" -> True, "TypesetOptions" ->
  3033. {"ColorDirectiveSwatches" -> True, "IconicElidedForms" ->
  3034. True, "InterpretableElidedForms" -> False,
  3035. "ParenthesizeScriptBase" -> False},
  3036. "UnivariatePolynomialOptions" ->
  3037. {"PolynomialDivisorCrossoverDegree" -> -1,
  3038. "PolynomialHGCDCrossoverDegree" -> -1,
  3039. "PolynomialMatrixProductCrossoverDegree" -> -1,
  3040. "PolynomialPowerMatrixCrossoverDegree" -> -1,
  3041. "PolynomialProductCrossoverDegree" -> -1,
  3042. "PolynomialQuotientCrossoverDegree" -> -1,
  3043. "PowerMatrixPrimeThreshold" -> 50,
  3044. "UseCubicInPolynomialModularFactoring" -> True,
  3045. "UseQuarticInPolynomialModularFactoring" -> True},
  3046. "VectorInputOverride" -> False, "VisualizationOptions" ->
  3047. {"AdaptiveArithmeticPredicates" -> True, "ColorLines" ->
  3048. False, "DomainProjection" -> True, "EnableMeshObject" ->
  3049. True, "GeometricExactArithmetic" -> False,
  3050. "GeometricWeighting" -> True,
  3051. "GraphicsComplexPolygonCombine" -> False,
  3052. "GraphicsToComplex" -> False,
  3053. "MaxMemoryAlgebraicPlotting" -> 402653184,
  3054. "MaxRecursionPlotting" -> 15, "MeshObjectVerbose" ->
  3055. False, "MeshRegions2D" -> True, "MeshRegions3D" -> True,
  3056. "MeshRegionStorageDataStructure" -> True,
  3057. "NewExclusionsProcessing" -> False, "OriginalInput" ->
  3058. False, "PlotRangeMethod" -> 1, "PolygonReduction2D" ->
  3059. None, "PolygonReduction3D" -> None,
  3060. "SymbolicGraphics" -> True, "Verbose" -> False,
  3061. "VerboseDelay" -> 0., "VertexTexture" -> True,
  3062. "VertexTextureCoordinatesTranspose" -> False},
  3063. "WaitUntilEnable" -> True, "WaveletOptions" ->
  3064. {"AllowUserDefinedWavelets" -> True,
  3065. "DefaultContinuousWavelet" -> Automatic,
  3066. "DefaultDiscreteWavelet" -> Automatic,
  3067. "ParallelThreading" -> True, "Tolerance" -> 0.00001,
  3068. "WaveletThreadingThreshold" -> 10000},
  3069. "ZeroTestMaxPrecision" -> 5000.,
  3070. "ZeroTestNumericalPrecision" -> 80.}],
  3071. {{{{{HoldForm["Cache" -> True], HoldForm["Cache" -> True]},
  3072. {HoldForm["CacheTableLength" -> 257], HoldForm[
  3073. "CacheTableLength" -> 257]}, {HoldForm[
  3074. "CacheTableWidth" -> 7], HoldForm["CacheTableWidth" ->
  3075. 7]}, {HoldForm["CacheKeyMaxBytes" -> 1000000],
  3076. HoldForm["CacheKeyMaxBytes" -> 1000000]},
  3077. {HoldForm["CacheResultMaxBytes" -> 1000000], HoldForm[
  3078. "CacheResultMaxBytes" -> 1000000]}, {HoldForm[
  3079. "KeyComparison" -> None], HoldForm["KeyComparison" ->
  3080. None]}, {HoldForm["ResultComparison" -> LessEqual],
  3081. HoldForm["ResultComparison" -> LessEqual]}, HoldForm[
  3082. {"Cache" -> True, "CacheTableLength" -> 257,
  3083. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  3084. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  3085. None, "ResultComparison" -> LessEqual}]}, HoldForm[
  3086. "Derivative" -> {"Cache" -> True, "CacheTableLength" ->
  3087. 257, "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  3088. 1000000, "CacheResultMaxBytes" -> 1000000,
  3089. "KeyComparison" -> None, "ResultComparison" ->
  3090. LessEqual}], HoldForm["Derivative" -> {"Cache" ->
  3091. True, "CacheTableLength" -> 257, "CacheTableWidth" ->
  3092. 7, "CacheKeyMaxBytes" -> 1000000,
  3093. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  3094. None, "ResultComparison" -> LessEqual}]},
  3095. {{{HoldForm["Cache" -> True], HoldForm["Cache" -> True]},
  3096. {HoldForm["CacheTableLength" -> 1021], HoldForm[
  3097. "CacheTableLength" -> 1021]}, {HoldForm[
  3098. "CacheTableWidth" -> 7], HoldForm["CacheTableWidth" ->
  3099. 7]}, {HoldForm["CacheKeyMaxBytes" -> 1000000],
  3100. HoldForm["CacheKeyMaxBytes" -> 1000000]},
  3101. {HoldForm["CacheResultMaxBytes" -> 1000000], HoldForm[
  3102. "CacheResultMaxBytes" -> 1000000]}, {HoldForm[
  3103. "KeyComparison" -> None], HoldForm["KeyComparison" ->
  3104. None]}, {HoldForm["ResultComparison" -> LessEqual],
  3105. HoldForm["ResultComparison" -> LessEqual]}, HoldForm[
  3106. {"Cache" -> True, "CacheTableLength" -> 1021,
  3107. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  3108. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  3109. None, "ResultComparison" -> LessEqual}]}, HoldForm[
  3110. "Developer" -> {"Cache" -> True, "CacheTableLength" ->
  3111. 1021, "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  3112. 1000000, "CacheResultMaxBytes" -> 1000000,
  3113. "KeyComparison" -> None, "ResultComparison" ->
  3114. LessEqual}], HoldForm["Developer" -> {"Cache" -> True,
  3115. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  3116. "CacheKeyMaxBytes" -> 1000000, "CacheResultMaxBytes" ->
  3117. 1000000, "KeyComparison" -> None,
  3118. "ResultComparison" -> LessEqual}]},
  3119. {{{HoldForm["Cache" -> True], HoldForm["Cache" -> True]},
  3120. {HoldForm["CacheTableLength" -> 1021], HoldForm[
  3121. "CacheTableLength" -> 1021]}, {HoldForm[
  3122. "CacheTableWidth" -> 7], HoldForm["CacheTableWidth" ->
  3123. 7]}, {HoldForm["CacheKeyMaxBytes" -> 500000000],
  3124. HoldForm["CacheKeyMaxBytes" -> 500000000]},
  3125. {HoldForm["CacheResultMaxBytes" -> 500000000], HoldForm[
  3126. "CacheResultMaxBytes" -> 500000000]}, {HoldForm[
  3127. "KeyComparison" -> None], HoldForm["KeyComparison" ->
  3128. None]}, {HoldForm["ResultComparison" -> LessEqual],
  3129. HoldForm["ResultComparison" -> LessEqual]}, HoldForm[
  3130. {"Cache" -> True, "CacheTableLength" -> 1021,
  3131. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  3132. 500000000, "CacheResultMaxBytes" -> 500000000,
  3133. "KeyComparison" -> None, "ResultComparison" ->
  3134. LessEqual}]}, HoldForm["Geo" -> {"Cache" -> True,
  3135. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  3136. "CacheKeyMaxBytes" -> 500000000,
  3137. "CacheResultMaxBytes" -> 500000000, "KeyComparison" ->
  3138. None, "ResultComparison" -> LessEqual}], HoldForm[
  3139. "Geo" -> {"Cache" -> True, "CacheTableLength" -> 1021,
  3140. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  3141. 500000000, "CacheResultMaxBytes" -> 500000000,
  3142. "KeyComparison" -> None, "ResultComparison" ->
  3143. LessEqual}]}, {{{HoldForm["Cache" -> True], HoldForm[
  3144. "Cache" -> True]}, {HoldForm["CacheTableLength" ->
  3145. 257], HoldForm["CacheTableLength" -> 257]},
  3146. {HoldForm["CacheTableWidth" -> 7], HoldForm[
  3147. "CacheTableWidth" -> 7]}, {HoldForm[
  3148. "CacheKeyMaxBytes" -> 9223372036854775807], HoldForm[
  3149. "CacheKeyMaxBytes" -> 9223372036854775807]},
  3150. {HoldForm["CacheResultMaxBytes" -> 9223372036854775807],
  3151. HoldForm["CacheResultMaxBytes" -> 9223372036854775807]},
  3152. {HoldForm["KeyComparison" -> None], HoldForm[
  3153. "KeyComparison" -> None]}, {HoldForm[
  3154. "ResultComparison" -> LessEqual], HoldForm[
  3155. "ResultComparison" -> LessEqual]}, HoldForm[
  3156. {"Cache" -> True, "CacheTableLength" -> 257,
  3157. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  3158. 9223372036854775807, "CacheResultMaxBytes" ->
  3159. 9223372036854775807, "KeyComparison" -> None,
  3160. "ResultComparison" -> LessEqual}]}, HoldForm["Image" ->
  3161. {"Cache" -> True, "CacheTableLength" -> 257,
  3162. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  3163. 9223372036854775807, "CacheResultMaxBytes" ->
  3164. 9223372036854775807, "KeyComparison" -> None,
  3165. "ResultComparison" -> LessEqual}], HoldForm["Image" ->
  3166. {"Cache" -> True, "CacheTableLength" -> 257,
  3167. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  3168. 9223372036854775807, "CacheResultMaxBytes" ->
  3169. 9223372036854775807, "KeyComparison" -> None,
  3170. "ResultComparison" -> LessEqual}]},
  3171. {{{HoldForm["Cache" -> True], HoldForm["Cache" -> True]},
  3172. {HoldForm["CacheTableLength" -> 1021], HoldForm[
  3173. "CacheTableLength" -> 1021]}, {HoldForm[
  3174. "CacheTableWidth" -> 7], HoldForm["CacheTableWidth" ->
  3175. 7]}, {HoldForm["CacheKeyMaxBytes" -> 1000000],
  3176. HoldForm["CacheKeyMaxBytes" -> 1000000]},
  3177. {HoldForm["CacheResultMaxBytes" -> 1000000], HoldForm[
  3178. "CacheResultMaxBytes" -> 1000000]}, {HoldForm[
  3179. "KeyComparison" -> None], HoldForm["KeyComparison" ->
  3180. None]}, {HoldForm["ResultComparison" -> GreaterEqual],
  3181. HoldForm["ResultComparison" -> GreaterEqual]},
  3182. HoldForm[{"Cache" -> True, "CacheTableLength" -> 1021,
  3183. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  3184. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  3185. None, "ResultComparison" -> GreaterEqual}]},
  3186. HoldForm["Numeric" -> {"Cache" -> True,
  3187. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  3188. "CacheKeyMaxBytes" -> 1000000, "CacheResultMaxBytes" ->
  3189. 1000000, "KeyComparison" -> None,
  3190. "ResultComparison" -> GreaterEqual}], HoldForm[
  3191. "Numeric" -> {"Cache" -> True, "CacheTableLength" ->
  3192. 1021, "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  3193. 1000000, "CacheResultMaxBytes" -> 1000000,
  3194. "KeyComparison" -> None, "ResultComparison" ->
  3195. GreaterEqual}]}, {{{HoldForm["Cache" -> True],
  3196. HoldForm["Cache" -> True]}, {HoldForm[
  3197. "CacheTableLength" -> 19], HoldForm[
  3198. "CacheTableLength" -> 19]}, {HoldForm[
  3199. "CacheTableWidth" -> 7], HoldForm["CacheTableWidth" ->
  3200. 7]}, {HoldForm["CacheKeyMaxBytes" -> 1000000],
  3201. HoldForm["CacheKeyMaxBytes" -> 1000000]},
  3202. {HoldForm["CacheResultMaxBytes" -> 1000000], HoldForm[
  3203. "CacheResultMaxBytes" -> 1000000]}, {HoldForm[
  3204. "KeyComparison" -> None], HoldForm["KeyComparison" ->
  3205. None]}, {HoldForm["ResultComparison" -> LessEqual],
  3206. HoldForm["ResultComparison" -> LessEqual]}, HoldForm[
  3207. {"Cache" -> True, "CacheTableLength" -> 19,
  3208. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  3209. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  3210. None, "ResultComparison" -> LessEqual}]}, HoldForm[
  3211. "ParametricFunction" -> {"Cache" -> True,
  3212. "CacheTableLength" -> 19, "CacheTableWidth" -> 7,
  3213. "CacheKeyMaxBytes" -> 1000000, "CacheResultMaxBytes" ->
  3214. 1000000, "KeyComparison" -> None,
  3215. "ResultComparison" -> LessEqual}], HoldForm[
  3216. "ParametricFunction" -> {"Cache" -> True,
  3217. "CacheTableLength" -> 19, "CacheTableWidth" -> 7,
  3218. "CacheKeyMaxBytes" -> 1000000, "CacheResultMaxBytes" ->
  3219. 1000000, "KeyComparison" -> None,
  3220. "ResultComparison" -> LessEqual}]},
  3221. {{{HoldForm["Cache" -> True], HoldForm["Cache" -> True]},
  3222. {HoldForm["CacheTableLength" -> 17], HoldForm[
  3223. "CacheTableLength" -> 17]}, {HoldForm[
  3224. "CacheTableWidth" -> 7], HoldForm["CacheTableWidth" ->
  3225. 7]}, {HoldForm["CacheKeyMaxBytes" -> 1000000],
  3226. HoldForm["CacheKeyMaxBytes" -> 1000000]},
  3227. {HoldForm["CacheResultMaxBytes" -> 1000000], HoldForm[
  3228. "CacheResultMaxBytes" -> 1000000]}, {HoldForm[
  3229. "KeyComparison" -> None], HoldForm["KeyComparison" ->
  3230. None]}, {HoldForm["ResultComparison" -> LessEqual],
  3231. HoldForm["ResultComparison" -> LessEqual]}, HoldForm[
  3232. {"Cache" -> True, "CacheTableLength" -> 17,
  3233. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  3234. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  3235. None, "ResultComparison" -> LessEqual}]}, HoldForm[
  3236. "Quantity" -> {"Cache" -> True, "CacheTableLength" -> 17,
  3237. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  3238. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  3239. None, "ResultComparison" -> LessEqual}], HoldForm[
  3240. "Quantity" -> {"Cache" -> True, "CacheTableLength" -> 17,
  3241. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  3242. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  3243. None, "ResultComparison" -> LessEqual}]},
  3244. {{{HoldForm["Cache" -> True], HoldForm["Cache" -> True]},
  3245. {HoldForm["CacheTableLength" -> 257], HoldForm[
  3246. "CacheTableLength" -> 257]}, {HoldForm[
  3247. "CacheTableWidth" -> 7], HoldForm["CacheTableWidth" ->
  3248. 7]}, {HoldForm["CacheKeyMaxBytes" -> 1000000],
  3249. HoldForm["CacheKeyMaxBytes" -> 1000000]},
  3250. {HoldForm["CacheResultMaxBytes" -> 1000000], HoldForm[
  3251. "CacheResultMaxBytes" -> 1000000]}, {HoldForm[
  3252. "KeyComparison" -> None], HoldForm["KeyComparison" ->
  3253. None]}, {HoldForm["ResultComparison" -> LessEqual],
  3254. HoldForm["ResultComparison" -> LessEqual]}, HoldForm[
  3255. {"Cache" -> True, "CacheTableLength" -> 257,
  3256. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  3257. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  3258. None, "ResultComparison" -> LessEqual}]}, HoldForm[
  3259. "Symbolic" -> {"Cache" -> True, "CacheTableLength" ->
  3260. 257, "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  3261. 1000000, "CacheResultMaxBytes" -> 1000000,
  3262. "KeyComparison" -> None, "ResultComparison" ->
  3263. LessEqual}], HoldForm["Symbolic" -> {"Cache" -> True,
  3264. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
  3265. "CacheKeyMaxBytes" -> 1000000, "CacheResultMaxBytes" ->
  3266. 1000000, "KeyComparison" -> None,
  3267. "ResultComparison" -> LessEqual}]}, HoldForm[
  3268. {"Derivative" -> {"Cache" -> True, "CacheTableLength" ->
  3269. 257, "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  3270. 1000000, "CacheResultMaxBytes" -> 1000000,
  3271. "KeyComparison" -> None, "ResultComparison" ->
  3272. LessEqual}, "Developer" -> {"Cache" -> True,
  3273. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  3274. "CacheKeyMaxBytes" -> 1000000, "CacheResultMaxBytes" ->
  3275. 1000000, "KeyComparison" -> None,
  3276. "ResultComparison" -> LessEqual}, "Geo" ->
  3277. {"Cache" -> True, "CacheTableLength" -> 1021,
  3278. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  3279. 500000000, "CacheResultMaxBytes" -> 500000000,
  3280. "KeyComparison" -> None, "ResultComparison" ->
  3281. LessEqual}, "Image" -> {"Cache" -> True,
  3282. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
  3283. "CacheKeyMaxBytes" -> 9223372036854775807,
  3284. "CacheResultMaxBytes" -> 9223372036854775807,
  3285. "KeyComparison" -> None, "ResultComparison" ->
  3286. LessEqual}, "Numeric" -> {"Cache" -> True,
  3287. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  3288. "CacheKeyMaxBytes" -> 1000000, "CacheResultMaxBytes" ->
  3289. 1000000, "KeyComparison" -> None,
  3290. "ResultComparison" -> GreaterEqual},
  3291. "ParametricFunction" -> {"Cache" -> True,
  3292. "CacheTableLength" -> 19, "CacheTableWidth" -> 7,
  3293. "CacheKeyMaxBytes" -> 1000000, "CacheResultMaxBytes" ->
  3294. 1000000, "KeyComparison" -> None,
  3295. "ResultComparison" -> LessEqual}, "Quantity" ->
  3296. {"Cache" -> True, "CacheTableLength" -> 17,
  3297. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  3298. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  3299. None, "ResultComparison" -> LessEqual}, "Symbolic" ->
  3300. {"Cache" -> True, "CacheTableLength" -> 257,
  3301. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  3302. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  3303. None, "ResultComparison" -> LessEqual}}]},
  3304. HoldForm["CacheOptions" -> {"Derivative" -> {"Cache" ->
  3305. True, "CacheTableLength" -> 257, "CacheTableWidth" ->
  3306. 7, "CacheKeyMaxBytes" -> 1000000,
  3307. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  3308. None, "ResultComparison" -> LessEqual}, "Developer" ->
  3309. {"Cache" -> True, "CacheTableLength" -> 1021,
  3310. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  3311. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  3312. None, "ResultComparison" -> LessEqual}, "Geo" ->
  3313. {"Cache" -> True, "CacheTableLength" -> 1021,
  3314. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  3315. 500000000, "CacheResultMaxBytes" -> 500000000,
  3316. "KeyComparison" -> None, "ResultComparison" ->
  3317. LessEqual}, "Image" -> {"Cache" -> True,
  3318. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
  3319. "CacheKeyMaxBytes" -> 9223372036854775807,
  3320. "CacheResultMaxBytes" -> 9223372036854775807,
  3321. "KeyComparison" -> None, "ResultComparison" ->
  3322. LessEqual}, "Numeric" -> {"Cache" -> True,
  3323. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  3324. "CacheKeyMaxBytes" -> 1000000, "CacheResultMaxBytes" ->
  3325. 1000000, "KeyComparison" -> None,
  3326. "ResultComparison" -> GreaterEqual},
  3327. "ParametricFunction" -> {"Cache" -> True,
  3328. "CacheTableLength" -> 19, "CacheTableWidth" -> 7,
  3329. "CacheKeyMaxBytes" -> 1000000, "CacheResultMaxBytes" ->
  3330. 1000000, "KeyComparison" -> None,
  3331. "ResultComparison" -> LessEqual}, "Quantity" ->
  3332. {"Cache" -> True, "CacheTableLength" -> 17,
  3333. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  3334. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  3335. None, "ResultComparison" -> LessEqual}, "Symbolic" ->
  3336. {"Cache" -> True, "CacheTableLength" -> 257,
  3337. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  3338. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  3339. None, "ResultComparison" -> LessEqual}}],
  3340. HoldForm["CacheOptions" -> {"Derivative" -> {"Cache" ->
  3341. True, "CacheTableLength" -> 257, "CacheTableWidth" ->
  3342. 7, "CacheKeyMaxBytes" -> 1000000,
  3343. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  3344. None, "ResultComparison" -> LessEqual}, "Developer" ->
  3345. {"Cache" -> True, "CacheTableLength" -> 1021,
  3346. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  3347. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  3348. None, "ResultComparison" -> LessEqual}, "Geo" ->
  3349. {"Cache" -> True, "CacheTableLength" -> 1021,
  3350. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  3351. 500000000, "CacheResultMaxBytes" -> 500000000,
  3352. "KeyComparison" -> None, "ResultComparison" ->
  3353. LessEqual}, "Image" -> {"Cache" -> True,
  3354. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
  3355. "CacheKeyMaxBytes" -> 9223372036854775807,
  3356. "CacheResultMaxBytes" -> 9223372036854775807,
  3357. "KeyComparison" -> None, "ResultComparison" ->
  3358. LessEqual}, "Numeric" -> {"Cache" -> True,
  3359. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  3360. "CacheKeyMaxBytes" -> 1000000, "CacheResultMaxBytes" ->
  3361. 1000000, "KeyComparison" -> None,
  3362. "ResultComparison" -> GreaterEqual},
  3363. "ParametricFunction" -> {"Cache" -> True,
  3364. "CacheTableLength" -> 19, "CacheTableWidth" -> 7,
  3365. "CacheKeyMaxBytes" -> 1000000, "CacheResultMaxBytes" ->
  3366. 1000000, "KeyComparison" -> None,
  3367. "ResultComparison" -> LessEqual}, "Quantity" ->
  3368. {"Cache" -> True, "CacheTableLength" -> 17,
  3369. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  3370. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  3371. None, "ResultComparison" -> LessEqual}, "Symbolic" ->
  3372. {"Cache" -> True, "CacheTableLength" -> 257,
  3373. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  3374. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  3375. None, "ResultComparison" -> LessEqual}}]},
  3376. {{{{{HoldForm["WarningMessage" -> True], HoldForm[
  3377. "WarningMessage" -> True]}, HoldForm[{Indeterminate & ,
  3378. "WarningMessage" -> True}]}, HoldForm[
  3379. "DefaultExtrapolationHandler" -> {Indeterminate & ,
  3380. "WarningMessage" -> True}], HoldForm[
  3381. "DefaultExtrapolationHandler" -> {Indeterminate & ,
  3382. "WarningMessage" -> True}]}, HoldForm[
  3383. {"CacheInterpolationElements" -> True, "DefaultBounds" ->
  3384. {-1, 1}, "DefaultElementMeshOrder" -> 2,
  3385. "DefaultExtrapolationHandler" -> {Indeterminate & ,
  3386. "WarningMessage" -> True}, "DefaultNumberOfElements" ->
  3387. 20, "InterpolationToleranceFactor" -> 0.0001,
  3388. "MinimumElementMeshQuality" -> 0.,
  3389. "SymbolicProcessing" -> 1.}]}, HoldForm[
  3390. "FiniteElementOptions" -> {"CacheInterpolationElements" ->
  3391. True, "DefaultBounds" -> {-1, 1},
  3392. "DefaultElementMeshOrder" -> 2,
  3393. "DefaultExtrapolationHandler" -> {Indeterminate & ,
  3394. "WarningMessage" -> True}, "DefaultNumberOfElements" ->
  3395. 20, "InterpolationToleranceFactor" -> 0.0001,
  3396. "MinimumElementMeshQuality" -> 0.,
  3397. "SymbolicProcessing" -> 1.}], HoldForm[
  3398. "FiniteElementOptions" -> {"CacheInterpolationElements" ->
  3399. True, "DefaultBounds" -> {-1, 1},
  3400. "DefaultElementMeshOrder" -> 2,
  3401. "DefaultExtrapolationHandler" -> {Indeterminate & ,
  3402. "WarningMessage" -> True}, "DefaultNumberOfElements" ->
  3403. 20, "InterpolationToleranceFactor" -> 0.0001,
  3404. "MinimumElementMeshQuality" -> 0.,
  3405. "SymbolicProcessing" -> 1.}]}, HoldForm[
  3406. {"AlgebraicsOptions" -> {"AlgebraicZeroTestParameters" ->
  3407. {1000., 1.*^6, 10000},
  3408. "ContinuedFractionRootIsolation" -> True,
  3409. "NestedRootInitialPrecision" -> 30.102999566398122,
  3410. "NonalgebraicRootToRadicals" -> False,
  3411. "NumericRootFunctionHeuristic" -> True,
  3412. "NumericRootFunctionTolerance" -> 0.1,
  3413. "PolynomialGCDCrossover" -> 14,
  3414. "RealRootIsolationCrossover" -> 10,
  3415. "RootReduceMethodCrossovers" -> {0.75, 64, 128}},
  3416. "AlgebraicThreadThroughHeads" -> {And, Equal, Greater,
  3417. GreaterEqual, Implies, Inequality, Less, LessEqual, List,
  3418. Nand, Nor, Not, Or, Rule, Unequal, Xor},
  3419. "AllocationOptions" -> {"AllocationExceptionThreshold" ->
  3420. 1000000, "ReplaceGMPAllocator" -> True,
  3421. "ReplaceMKLAllocator" -> True}, "ArithmeticOptions" ->
  3422. {"ArcTanArgumentReductionFactor" -> 0.3,
  3423. "ArcTanCrossoverWords" -> 88, "BinarySplittingFactor" ->
  3424. 2.5, "ContinuedFractionCrossoverWords" -> 150,
  3425. "ExpArgumentReductionFactor" -> 0.6,
  3426. "ExpCrossoverWords" -> 140,
  3427. "ExtendedGCDCrossoverWords" -> 5000,
  3428. "FactorialCrossover" -> 1024,
  3429. "FromContinuedFractionCrossoverTerms" -> 150,
  3430. "FromDigitsCrossoverWords" -> 160,
  3431. "GaussianExtendedGCDCrossoverWords" -> 60,
  3432. "GaussianGCDCrossoverWords" -> 60, "GCDCrossoverWords" ->
  3433. Infinity, "IndeterminateIntervals" -> True,
  3434. "IntegerDigitsCrossoverWords" -> 60,
  3435. "LehmerHalfGCDCrossoverWords" -> 200,
  3436. "LogArgumentReductionFactor" -> 0.2,
  3437. "LogCrossoverWords" -> 26,
  3438. "SinCosArgumentReductionFactor" -> 0.6,
  3439. "SinCosCrossoverWords" -> 260,
  3440. "SinhCoshArgumentReductionFactor" -> 0.6,
  3441. "SinhCoshCrossoverWords" -> 155, "SinhCoshUsingExp" ->
  3442. True, "SqrtCrossoverWords" -> 13750,
  3443. "SymbolicEqualityTest" -> True},
  3444. "BooleanComputationOptions" -> {"BDDReordering" -> False,
  3445. "ConversionMethodParameters" -> {12, 1., 100, False},
  3446. "DDFastCacheGrowthLimit" -> Automatic,
  3447. "DDMaxCacheSize" -> Automatic, "DDMaxMemory" ->
  3448. Automatic, "MinimizationManualReordering" -> True,
  3449. "OrderingFunction" -> Automatic,
  3450. "RestartDDManagerFunctions" -> Automatic,
  3451. "ZDDReordering" -> False}, "CacheOptions" ->
  3452. {"Derivative" -> {"Cache" -> True, "CacheTableLength" ->
  3453. 257, "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  3454. 1000000, "CacheResultMaxBytes" -> 1000000,
  3455. "KeyComparison" -> None, "ResultComparison" ->
  3456. LessEqual}, "Developer" -> {"Cache" -> True,
  3457. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  3458. "CacheKeyMaxBytes" -> 1000000, "CacheResultMaxBytes" ->
  3459. 1000000, "KeyComparison" -> None,
  3460. "ResultComparison" -> LessEqual}, "Geo" ->
  3461. {"Cache" -> True, "CacheTableLength" -> 1021,
  3462. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  3463. 500000000, "CacheResultMaxBytes" -> 500000000,
  3464. "KeyComparison" -> None, "ResultComparison" ->
  3465. LessEqual}, "Image" -> {"Cache" -> True,
  3466. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
  3467. "CacheKeyMaxBytes" -> 9223372036854775807,
  3468. "CacheResultMaxBytes" -> 9223372036854775807,
  3469. "KeyComparison" -> None, "ResultComparison" ->
  3470. LessEqual}, "Numeric" -> {"Cache" -> True,
  3471. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  3472. "CacheKeyMaxBytes" -> 1000000, "CacheResultMaxBytes" ->
  3473. 1000000, "KeyComparison" -> None,
  3474. "ResultComparison" -> GreaterEqual},
  3475. "ParametricFunction" -> {"Cache" -> True,
  3476. "CacheTableLength" -> 19, "CacheTableWidth" -> 7,
  3477. "CacheKeyMaxBytes" -> 1000000, "CacheResultMaxBytes" ->
  3478. 1000000, "KeyComparison" -> None,
  3479. "ResultComparison" -> LessEqual}, "Quantity" ->
  3480. {"Cache" -> True, "CacheTableLength" -> 17,
  3481. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  3482. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  3483. None, "ResultComparison" -> LessEqual}, "Symbolic" ->
  3484. {"Cache" -> True, "CacheTableLength" -> 257,
  3485. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" -> 1000000,
  3486. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  3487. None, "ResultComparison" -> LessEqual}},
  3488. "CatchMachineUnderflow" -> True, "CompileOptions" ->
  3489. {"ApplyCompileLength" -> Infinity, "ArrayCompileLength" ->
  3490. 250, "AutoCompileAllowCoercion" -> False,
  3491. "AutoCompileProtectValues" -> False,
  3492. "AutomaticCompile" -> False, "BinaryTensorArithmetic" ->
  3493. False, "CompileAllowCoercion" -> True,
  3494. "CompileConfirmInitializedVariables" -> True,
  3495. "CompiledFunctionArgumentCoercionTolerance" ->
  3496. 2.1072099696478683, "CompiledFunctionMaxFailures" -> 3,
  3497. "CompileDynamicScoping" -> False,
  3498. "CompileEvaluateConstants" -> True,
  3499. "CompileOptimizeRegisters" -> False,
  3500. "CompileParallelizationThreshold" -> 10,
  3501. "CompileReportCoercion" -> False,
  3502. "CompileReportExternal" -> False,
  3503. "CompileReportFailure" -> False, "CompileValuesLast" ->
  3504. True, "FoldCompileLength" -> 100,
  3505. "InternalCompileMessages" -> False,
  3506. "ListableFunctionCompileLength" -> 250,
  3507. "MapCompileLength" -> 100, "NestCompileLength" -> 100,
  3508. "NumericalAllowExternal" -> False,
  3509. "ProductCompileLength" -> 250, "ReuseTensorRegisters" ->
  3510. True, "SumCompileLength" -> 250,
  3511. "SystemCompileOptimizations" -> All,
  3512. "TableCompileLength" -> 250},
  3513. "ConditionalAnswerFormat" -> "ConditionalExpression",
  3514. "DataOptions" -> {"DataPacletParse" -> False,
  3515. "ReturnEntities" -> True, "ReturnQuantities" -> True,
  3516. "UseDataWrappers" -> True}, "DefinitionsReordering" ->
  3517. "Default", "DifferentiationOptions" ->
  3518. {"AlwaysThreadGradients" -> False, "DifferentiateHeads" ->
  3519. True, "DirectHighDerivatives" -> True,
  3520. "ExcludedFunctions" -> {Hold, HoldComplete, Less,
  3521. LessEqual, Greater, GreaterEqual, Inequality, Unequal,
  3522. Nand, Nor, Xor, Not, Element, Exists, ForAll, Implies,
  3523. Positive, Negative, NonPositive, NonNegative, Replace,
  3524. ReplaceAll, ReplaceRepeated}, "ExitOnFailure" -> False,
  3525. "SymbolicAutomaticDifferentiation" -> False},
  3526. "DynamicCreatedSymbolsUpdateHold" -> False,
  3527. "DynamicLibraryOptions" -> {"DynamicLibraryGlobal" -> True,
  3528. "DynamicLibraryLazy" -> True}, "DynamicUpdateInterval" ->
  3529. 0.05, "EnforceCallPacket" -> False,
  3530. "EvaluateErrorExceptions" -> False,
  3531. "EvaluateNumericalFunctionArgument" -> True,
  3532. "EvaluatePlottingFunctionArgument" -> False,
  3533. "ExtendedInverseFunction" -> True,
  3534. "FileBackedCachingOptions" -> {"CachingReadOnlyMode" ->
  3535. False, "FileBackedCaching" -> True, "MaxByteCount" ->
  3536. 536870912, "UpdateCheck" -> True},
  3537. "FindMinimumOptions" -> {"DefaultInteriorPointMethod" ->
  3538. "IPOPT", "TreatQuadraticProgramming" -> 0},
  3539. "FiniteElementOptions" -> {"CacheInterpolationElements" ->
  3540. True, "DefaultBounds" -> {-1, 1},
  3541. "DefaultElementMeshOrder" -> 2,
  3542. "DefaultExtrapolationHandler" -> {Indeterminate & ,
  3543. "WarningMessage" -> True}, "DefaultNumberOfElements" ->
  3544. 20, "InterpolationToleranceFactor" -> 0.0001,
  3545. "MinimumElementMeshQuality" -> 0.,
  3546. "SymbolicProcessing" -> 1.}, "FormatSortHashableRules" ->
  3547. True, "FourierOptions" ->
  3548. {"CacheInitializationSizeLimit" -> 65537,
  3549. "ConvolutionExtraMemoryLimit" -> Infinity,
  3550. "ConvolutionLibrary" -> "MKL",
  3551. "FFTConvolutionCostFactor" -> 1., "FFTLibrary" -> "MKL",
  3552. "SixStepSize" -> 100000}, "GeometricFunctionsOptions" ->
  3553. {"UseAlternateSparseSolver" -> False}, "GlobFileNames" ->
  3554. False, "GraphicsBoxes" -> True, "GraphicsNewTextFormat" ->
  3555. True, "GraphOptions" -> {"CacheResults" -> True,
  3556. "EdgeCountThreshold" -> 10000, "RenderingOrder" ->
  3557. "VertexFirst", "VertexCountThreshold" -> 1000},
  3558. "GraphPlotOptions" -> {"ArrowThreshold" -> 1048576,
  3559. "BarnesHutOpeningCriterion" -> 1.2, "FineSteps" -> False,
  3560. "InertiaSymmetryThreshold" -> 0.05,
  3561. "MinimumReductionFactor" -> 0.75,
  3562. "NumberBezierSplinePoints" -> 10, "OctreeThreshold" ->
  3563. 20, "PolyminoNumber" -> 100, "PolyminoPacking" -> False,
  3564. "PolyminoPadding" -> 5, "RepulsiveForceConstant" -> 0.2,
  3565. "ScaleCoordinates" -> True,
  3566. "ScaleCoordinatesForUnitAverageEdgeLength" -> True,
  3567. "VertexLabelThreshold" -> 1048576,
  3568. "VertexPointThreshold" -> 500}, "GroebnerBasisOptions" ->
  3569. {"EliminateFromGroebnerBasis" -> True,
  3570. "SyzygyCriterionLevel" -> 2, "UseGroebnerTrace" ->
  3571. Automatic}, "GroupTheoryOptions" ->
  3572. {"RandomizedSchreierSimsChecks" -> 100,
  3573. "StandardListToCyclesConvention" -> True},
  3574. "HashOptions" -> {"HashArrayLengthThreshold" -> Infinity,
  3575. "HashByteLengthThreshold" -> Infinity,
  3576. "HashTableGrowLoadFactor" -> 2.,
  3577. "HashTableShrinkLoadFactor" -> 0.5},
  3578. "HolonomicOptions" -> {"FunctionSymbol" -> \[FormalY],
  3579. "IteratorSymbol" -> \[FormalN], "MaxHolonomicOrder" ->
  3580. 64, "MaxPolynomialDegree" -> 64, "SequenceSymbol" ->
  3581. \[FormalY], "VariableSymbol" -> \[FormalX]},
  3582. "ImageProcessingOptions" -> {"Accelerators" -> {"IPP"},
  3583. "Timing" -> False, "Verbose" -> False},
  3584. "ImportExportOptions" -> {"Verbose" -> False},
  3585. "InequalitySolvingOptions" -> {"ARSDecision" -> False,
  3586. "BrownProjection" -> True, "CAD" -> True,
  3587. "CADAlgebraicCoefficients" -> True,
  3588. "CADBacksubstitution" -> Automatic, "CADCombineCells" ->
  3589. True, "CADConstruction" -> Automatic,
  3590. "CADDefaultPrecision" -> 30.102999566398122,
  3591. "CADExtraPrecision" -> 30.102999566398122, "CADMethod" ->
  3592. Automatic, "CADNRootsMethod" -> Automatic,
  3593. "CADSimplifyBounds" -> True, "CADSortVariables" ->
  3594. Automatic, "CADZeroTest" -> {0, Infinity},
  3595. "EquationalConstraintsCAD" -> Automatic,
  3596. "FGLMBasisConversion" -> False, "FGLMElimination" ->
  3597. Automatic, "GenericCAD" -> True, "GroebnerCAD" -> True,
  3598. "LinearDecisionMethodCrossovers" -> {0, 30, 20,
  3599. Automatic}, "LinearEquations" -> True, "LinearQE" ->
  3600. True, "LWDecision" -> True, "LWPreprocessor" ->
  3601. Automatic, "NumericVariableRoots" -> Automatic,
  3602. "ProjectAlgebraic" -> Automatic, "ProveMultiplicities" ->
  3603. True, "QuadraticQE" -> Automatic, "QVSPreprocessor" ->
  3604. False, "ReducePowers" -> Automatic, "RootReduced" ->
  3605. False, "Simplex" -> True, "SimplifyInequalities" ->
  3606. Automatic, "ThreadOr" -> True, "ZengDecision" -> False},
  3607. "LatticeReduceOptions" -> {"LatticeReduceArithmetic" ->
  3608. InexactNumbers, "LatticeReduceInnerProduct" ->
  3609. Automatic, "LatticeReduceLazySizeReduction" ->
  3610. Automatic, "LatticeReduceRatioParameter" -> Automatic},
  3611. "LegacyFrontEnd" -> False,
  3612. "LegacyNewlineParsingInStrings" -> False,
  3613. "LinearAlgebraOptions" -> {"ArnoldiDensityRatio" -> 0.2,
  3614. "ArnoldiEigenvaluesWarningRatio" -> 0.5,
  3615. "ArnoldiExtraIterations" -> 100,
  3616. "AutomaticArnoldiEigenvaluesWarningRatio" -> 0.2,
  3617. "DetectStructure" -> Automatic,
  3618. "LeastSquaresIterDiagConst" -> 1.*^-8,
  3619. "LinearSolveTryLeastSquares" -> False,
  3620. "UseIntegerBlas" -> Automatic},
  3621. "LinearEquationOptions" -> {"BandedMatrixDensityRatio" ->
  3622. 0.5, "GMRESCheckPrecToNonprecRatio" -> True,
  3623. "GMRESStoppingCriterionMultiplier" -> 1.001,
  3624. "SparseMaxDensity" -> 0.04,
  3625. "SparseMinNumberOfEquations" -> 50},
  3626. "LinearProgrammingOptions" ->
  3627. {"AggressiveDenseColumnIdentification" -> False,
  3628. "InteriorPointAlwaysReturnSolution" -> False,
  3629. "InteriorPointSize" -> 100,
  3630. "MaxAugmentedSystemRefinement" -> 2,
  3631. "MaxNormalSystemRefinement" -> 30,
  3632. "NormalSystemRefinementMethod" -> 1,
  3633. "NumberCoefficientsOnly" -> False, "Preprocessing" ->
  3634. True, "RevisedSimplexCutOffRatio" -> 2.,
  3635. "RevisedSimplexSize" -> 200},
  3636. "MachineRealPrintPrecision" -> 6, "MainLoopPauseLength" ->
  3637. 1, "MainLoopPreemptiveCheck" -> True,
  3638. "MaxPathHashCount" -> 10000, "MaxPatternMatchRecursion" ->
  3639. 24000, "MessageHandlersRecursion" -> False,
  3640. "MessageRecursionLimit" -> 1024, "MutationHandlers" ->
  3641. True, "NDSolveOptions" ->
  3642. {"DefaultScanDiscontinuityTimeConstraint" -> 1.,
  3643. "DefaultSolveTimeConstraint" -> 1.},
  3644. "NeedNotReevaluateOptions" -> {"MaxDepth" -> Infinity,
  3645. "MaxStorageDepth" -> Infinity}, "NSolveOptions" ->
  3646. {"ComplexEquationMethod" -> Automatic, "MonomialOrder" ->
  3647. Automatic, "ReorderVariables" -> True,
  3648. "SelectCriterion" -> (True & ), "Tolerance" -> 0,
  3649. "UseSlicingHyperplanes" -> True},
  3650. "NumericalFunctionCoercionTolerance" -> 2.1072099696478683,
  3651. "NumericalFunctionDerivativeFallback" -> True,
  3652. "OptimizationOptions" -> {"AddEquation" -> True,
  3653. "IntegerOptimumCandidates" -> 10}, "PackageFormat" ->
  3654. True, "PackedArrayOptions" -> {"ListableAutoPackLength" ->
  3655. 250, "PackedArrayMathLinkRead" -> True,
  3656. "UnpackMessage" -> False}, "ParallelOptions" ->
  3657. {"AbortPause" -> 2., "BusyWait" -> 0.01,
  3658. "MachineFunctionParallelThreshold0" -> 32768,
  3659. "MachineFunctionParallelThreshold1" -> 32768,
  3660. "MachineFunctionParallelThreshold2" -> 16384,
  3661. "MachineFunctionParallelThreshold3" -> 16384,
  3662. "MathLinkTimeout" -> 15., "MKLThreadNumber" -> 4,
  3663. "ParallelThreadNumber" -> 4, "RecoveryMode" -> "Retry",
  3664. "RelaunchFailedKernels" -> True}, "PauseSubsecond" ->
  3665. True, "PCREOptions" -> {"MatchLimit" -> 15000000,
  3666. "MatchLimitRecursion" -> 10000}, "PiecewiseOptions" ->
  3667. {"BooleanResult" -> Automatic, "ConditionSimplifier" ->
  3668. Automatic, "DirectExpansionCrossovers" -> {10, 7.,
  3669. False}, "EliminateConditions" -> True,
  3670. "ExpandSpecialPiecewise" -> True, "FactorInequalities" ->
  3671. True, "FullStrengthInference" -> False,
  3672. "OrderlessConditions" -> Automatic, "Parallel" ->
  3673. Automatic, "RefineConditions" -> True,
  3674. "Simplification" -> True, "StrictCalculus" -> Automatic,
  3675. "ValueSimplifier" -> Automatic},
  3676. "PolynomialAlgebraOptions" -> {"ClassicPolynomialGCD" ->
  3677. True, "ConvolutionTimes" -> Automatic,
  3678. "DensePolynomialHeuristic" -> True,
  3679. "DivideAndConquerPower" -> Automatic,
  3680. "EnhancedPolynomialGCD" -> True, "IteratedSquarePower" ->
  3681. Automatic, "PolynomialExpand" -> Automatic,
  3682. "UseNewIntPolyGcd" -> False}, "PostScriptBufferSize" ->
  3683. 32768, "PreemptiveCheckUseThreads" -> True,
  3684. "PreemptiveEvaluationFrequent" -> True,
  3685. "ProcessPriority" -> "Normal", "RawArrayOptions" ->
  3686. {"AccurateReal32" -> True, "ModularArithmetic" -> True},
  3687. "ReduceOptions" -> {"ADDSolveBound" -> 8,
  3688. "AlgebraicNumberOutput" -> True, "BDDEliminate" ->
  3689. Automatic, "BooleanInstanceMethod" -> Automatic,
  3690. "BranchLinearDiophantine" -> False,
  3691. "CacheReduceResults" -> Automatic,
  3692. "DiscreteSolutionBound" -> Infinity,
  3693. "ExhaustiveSearchMaxPoints" -> {1000, 10000},
  3694. "FactorEquations" -> Automatic, "FactorInequalities" ->
  3695. False, "FinitePrecisionGB" -> False,
  3696. "ImplicitIntegerSolutions" -> Automatic,
  3697. "IntervalRootsOptions" -> {"AllowIncomplete" -> True,
  3698. "FailDepth" -> 20, "MaxDepth" -> 50, "MaxFailures" ->
  3699. 100, "MaxIncomplete" -> 1000, "MaxSimplified" -> 1000,
  3700. "MaxSteps" -> 100000, "MinPrecision" -> 12},
  3701. "LatticeReduceDiophantine" -> True,
  3702. "LinearEliminationMaxDepth" -> Infinity,
  3703. "MaxFrobeniusGraph" -> 1000000, "MaxModularPoints" ->
  3704. 1000000, "MaxModularRoots" -> 1000000,
  3705. "MaxPrimeIndex" -> 1000000000,
  3706. "NIntegrateTimeConstraint" -> 60, "PresburgerQE" ->
  3707. Automatic, "QuickReduce" -> False, "RandomInstances" ->
  3708. Automatic, "RealRootsOptions" ->
  3709. {"MaxExtensionDegree" -> 5,
  3710. "MaxFactorSquareFreeDegree" -> 10000,
  3711. "MaxNestedRootsDegree" -> 100, "SparsityThreshold" ->
  3712. 0.02}, "ReorderVariables" -> Automatic,
  3713. "SieveMaxPoints" -> {10000, 1000000},
  3714. "SolveDiscreteSolutionBound" -> 1000000,
  3715. "SyntacticSolveAssumptions" -> False,
  3716. "TranscendentalRecursionLimit" -> 12, "UseNestedRoots" ->
  3717. Automatic, "UseOldReduce" -> False,
  3718. "UseTranscendentalRoots" -> Automatic,
  3719. "UseTranscendentalSolve" -> True}, "RegionOptions" ->
  3720. {"MeshBooleanMethod" -> "External",
  3721. "MeshConversionMessages" -> False,
  3722. "MeshCountThreshold" -> 1048576, "MeshDisplay" -> True,
  3723. "RegionSimplifyMaxLength" -> 10},
  3724. "ReportInterruptMessages" -> False,
  3725. "RestorePackageDependencies" -> True,
  3726. "SimplificationOptions" ->
  3727. {"AssumptionsMaxNonlinearVariables" -> 4,
  3728. "AssumptionsMaxVariables" -> 21, "AutosimplifyTrigs" ->
  3729. True, "AutosimplifyTwoArgumentLog" -> True,
  3730. "FiniteSumMaxTerms" -> 30, "FunctionExpandMaxSteps" ->
  3731. 15, "ListableFirst" -> True, "RestartELProver" -> False,
  3732. "SimplifyMaxExponents" -> 100, "SimplifyToPiecewise" ->
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  3741. "BernoulliBOverFactorialRecursiveIndexThreshold" -> 500,
  3742. "BesselHalfIndexExpand" -> True, "BinomialCrossover" ->
  3743. 4000, "BinomialGenericZero" -> True,
  3744. "BinomialPolynomialEvaluationThreshold" -> 5,
  3745. "EulerECrossoverIndex" -> 60, "GammaMethodCrossover" ->
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  3747. "SymbolicProductThreshold" -> 1000000,
  3748. "SymbolicSumThreshold" -> 1000000, "TerminateOptions" ->
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  3751. "ThresholdByModulus" -> True, "TypesetOptions" ->
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  3755. "UnivariatePolynomialOptions" ->
  3756. {"PolynomialDivisorCrossoverDegree" -> -1,
  3757. "PolynomialHGCDCrossoverDegree" -> -1,
  3758. "PolynomialMatrixProductCrossoverDegree" -> -1,
  3759. "PolynomialPowerMatrixCrossoverDegree" -> -1,
  3760. "PolynomialProductCrossoverDegree" -> -1,
  3761. "PolynomialQuotientCrossoverDegree" -> -1,
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  3769. "GeometricWeighting" -> True,
  3770. "GraphicsComplexPolygonCombine" -> False,
  3771. "GraphicsToComplex" -> False,
  3772. "MaxMemoryAlgebraicPlotting" -> 402653184,
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  3784. "DefaultContinuousWavelet" -> Automatic,
  3785. "DefaultDiscreteWavelet" -> Automatic,
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  3797. "PolynomialGCDCrossover" -> 14,
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  3810. "ExpCrossoverWords" -> 140,
  3811. "ExtendedGCDCrossoverWords" -> 5000,
  3812. "FactorialCrossover" -> 1024,
  3813. "FromContinuedFractionCrossoverTerms" -> 150,
  3814. "FromDigitsCrossoverWords" -> 160,
  3815. "GaussianExtendedGCDCrossoverWords" -> 60,
  3816. "GaussianGCDCrossoverWords" -> 60, "GCDCrossoverWords" ->
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  3818. "IntegerDigitsCrossoverWords" -> 60,
  3819. "LehmerHalfGCDCrossoverWords" -> 200,
  3820. "LogArgumentReductionFactor" -> 0.2,
  3821. "LogCrossoverWords" -> 26,
  3822. "SinCosArgumentReductionFactor" -> 0.6,
  3823. "SinCosCrossoverWords" -> 260,
  3824. "SinhCoshArgumentReductionFactor" -> 0.6,
  3825. "SinhCoshCrossoverWords" -> 155, "SinhCoshUsingExp" ->
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  3829. "ConversionMethodParameters" -> {12, 1., 100, False},
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  3831. "DDMaxCacheSize" -> Automatic, "DDMaxMemory" ->
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  3848. "KeyComparison" -> None, "ResultComparison" ->
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  3850. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
  3851. "CacheKeyMaxBytes" -> 9223372036854775807,
  3852. "CacheResultMaxBytes" -> 9223372036854775807,
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  3855. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  3856. "CacheKeyMaxBytes" -> 1000000, "CacheResultMaxBytes" ->
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  3859. "ParametricFunction" -> {"Cache" -> True,
  3860. "CacheTableLength" -> 19, "CacheTableWidth" -> 7,
  3861. "CacheKeyMaxBytes" -> 1000000, "CacheResultMaxBytes" ->
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  3866. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
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  3870. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
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  3876. "AutomaticCompile" -> False, "BinaryTensorArithmetic" ->
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  3878. "CompileConfirmInitializedVariables" -> True,
  3879. "CompiledFunctionArgumentCoercionTolerance" ->
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  3882. "CompileEvaluateConstants" -> True,
  3883. "CompileOptimizeRegisters" -> False,
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  3886. "CompileReportExternal" -> False,
  3887. "CompileReportFailure" -> False, "CompileValuesLast" ->
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  3889. "InternalCompileMessages" -> False,
  3890. "ListableFunctionCompileLength" -> 250,
  3891. "MapCompileLength" -> 100, "NestCompileLength" -> 100,
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  3893. "ProductCompileLength" -> 250, "ReuseTensorRegisters" ->
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  3940. "EdgeCountThreshold" -> 10000, "RenderingOrder" ->
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  3970. "BrownProjection" -> True, "CAD" -> True,
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  3980. "FGLMBasisConversion" -> False, "FGLMElimination" ->
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  3996. "LegacyNewlineParsingInStrings" -> False,
  3997. "LinearAlgebraOptions" -> {"ArnoldiDensityRatio" -> 0.2,
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  4002. "LeastSquaresIterDiagConst" -> 1.*^-8,
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  4007. "GMRESStoppingCriterionMultiplier" -> 1.001,
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  4010. "LinearProgrammingOptions" ->
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  4016. "NormalSystemRefinementMethod" -> 1,
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  4044. "MachineFunctionParallelThreshold2" -> 16384,
  4045. "MachineFunctionParallelThreshold3" -> 16384,
  4046. "MathLinkTimeout" -> 15., "MKLThreadNumber" -> 4,
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  4058. "Simplification" -> True, "StrictCalculus" -> Automatic,
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  4062. "DensePolynomialHeuristic" -> True,
  4063. "DivideAndConquerPower" -> Automatic,
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  4072. "AlgebraicNumberOutput" -> True, "BDDEliminate" ->
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  4074. "BranchLinearDiophantine" -> False,
  4075. "CacheReduceResults" -> Automatic,
  4076. "DiscreteSolutionBound" -> Infinity,
  4077. "ExhaustiveSearchMaxPoints" -> {1000, 10000},
  4078. "FactorEquations" -> Automatic, "FactorInequalities" ->
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  4080. "ImplicitIntegerSolutions" -> Automatic,
  4081. "IntervalRootsOptions" -> {"AllowIncomplete" -> True,
  4082. "FailDepth" -> 20, "MaxDepth" -> 50, "MaxFailures" ->
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  4084. "MaxSteps" -> 100000, "MinPrecision" -> 12},
  4085. "LatticeReduceDiophantine" -> True,
  4086. "LinearEliminationMaxDepth" -> Infinity,
  4087. "MaxFrobeniusGraph" -> 1000000, "MaxModularPoints" ->
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  4089. "MaxPrimeIndex" -> 1000000000,
  4090. "NIntegrateTimeConstraint" -> 60, "PresburgerQE" ->
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  4095. "MaxNestedRootsDegree" -> 100, "SparsityThreshold" ->
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  4097. "SieveMaxPoints" -> {10000, 1000000},
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  4102. "UseTranscendentalRoots" -> Automatic,
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  4105. "MeshConversionMessages" -> False,
  4106. "MeshCountThreshold" -> 1048576, "MeshDisplay" -> True,
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  4108. "ReportInterruptMessages" -> False,
  4109. "RestorePackageDependencies" -> True,
  4110. "SimplificationOptions" ->
  4111. {"AssumptionsMaxNonlinearVariables" -> 4,
  4112. "AssumptionsMaxVariables" -> 21, "AutosimplifyTrigs" ->
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  4114. "FiniteSumMaxTerms" -> 30, "FunctionExpandMaxSteps" ->
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  4116. "SimplifyMaxExponents" -> 100, "SimplifyToPiecewise" ->
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  4118. 1., "DotDensityVectorThreshold" -> 0.25,
  4119. "DotLengthThreshold" -> 10, "GraphicsFactor" -> 0.075,
  4120. "IndexHashThreshold" -> 0.01, "MaxUnsparsifyElements" ->
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  4122. "SortLengthThreshold" -> 10, "TreatRepeatedEntries" ->
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  4124. {"BernoulliBCrossoverIndex" -> 3000,
  4125. "BernoulliBOverFactorialRecursiveIndexThreshold" -> 500,
  4126. "BesselHalfIndexExpand" -> True, "BinomialCrossover" ->
  4127. 4000, "BinomialGenericZero" -> True,
  4128. "BinomialPolynomialEvaluationThreshold" -> 5,
  4129. "EulerECrossoverIndex" -> 60, "GammaMethodCrossover" ->
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  4131. "SymbolicProductThreshold" -> 1000000,
  4132. "SymbolicSumThreshold" -> 1000000, "TerminateOptions" ->
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  4135. "ThresholdByModulus" -> True, "TypesetOptions" ->
  4136. {"ColorDirectiveSwatches" -> True, "IconicElidedForms" ->
  4137. True, "InterpretableElidedForms" -> False,
  4138. "ParenthesizeScriptBase" -> False},
  4139. "UnivariatePolynomialOptions" ->
  4140. {"PolynomialDivisorCrossoverDegree" -> -1,
  4141. "PolynomialHGCDCrossoverDegree" -> -1,
  4142. "PolynomialMatrixProductCrossoverDegree" -> -1,
  4143. "PolynomialPowerMatrixCrossoverDegree" -> -1,
  4144. "PolynomialProductCrossoverDegree" -> -1,
  4145. "PolynomialQuotientCrossoverDegree" -> -1,
  4146. "PowerMatrixPrimeThreshold" -> 50,
  4147. "UseCubicInPolynomialModularFactoring" -> True,
  4148. "UseQuarticInPolynomialModularFactoring" -> True},
  4149. "VectorInputOverride" -> False, "VisualizationOptions" ->
  4150. {"AdaptiveArithmeticPredicates" -> True, "ColorLines" ->
  4151. False, "DomainProjection" -> True, "EnableMeshObject" ->
  4152. True, "GeometricExactArithmetic" -> False,
  4153. "GeometricWeighting" -> True,
  4154. "GraphicsComplexPolygonCombine" -> False,
  4155. "GraphicsToComplex" -> False,
  4156. "MaxMemoryAlgebraicPlotting" -> 402653184,
  4157. "MaxRecursionPlotting" -> 15, "MeshObjectVerbose" ->
  4158. False, "MeshRegions2D" -> True, "MeshRegions3D" -> True,
  4159. "MeshRegionStorageDataStructure" -> True,
  4160. "NewExclusionsProcessing" -> False, "OriginalInput" ->
  4161. False, "PlotRangeMethod" -> 1, "PolygonReduction2D" ->
  4162. None, "PolygonReduction3D" -> None,
  4163. "SymbolicGraphics" -> True, "Verbose" -> False,
  4164. "VerboseDelay" -> 0., "VertexTexture" -> True,
  4165. "VertexTextureCoordinatesTranspose" -> False},
  4166. "WaitUntilEnable" -> True, "WaveletOptions" ->
  4167. {"AllowUserDefinedWavelets" -> True,
  4168. "DefaultContinuousWavelet" -> Automatic,
  4169. "DefaultDiscreteWavelet" -> Automatic,
  4170. "ParallelThreading" -> True, "Tolerance" -> 0.00001,
  4171. "WaveletThreadingThreshold" -> 10000},
  4172. "ZeroTestMaxPrecision" -> 5000.,
  4173. "ZeroTestNumericalPrecision" -> 80.}], HoldForm[
  4174. {"LatticeReduceArithmetic" -> InexactNumbers,
  4175. "LatticeReduceInnerProduct" -> Automatic,
  4176. "LatticeReduceLazySizeReduction" -> Automatic,
  4177. "LatticeReduceRatioParameter" -> Automatic}]},
  4178. HoldForm["LatticeReduceRatioParameter" /.
  4179. {"LatticeReduceArithmetic" -> InexactNumbers,
  4180. "LatticeReduceInnerProduct" -> Automatic,
  4181. "LatticeReduceLazySizeReduction" -> Automatic,
  4182. "LatticeReduceRatioParameter" -> Automatic}],
  4183. HoldForm[Automatic]}, HoldForm[
  4184. System`IntegerLinearDump`tmp$99353 = Automatic],
  4185. HoldForm[Automatic]},
  4186. {{{{HoldForm["LatticeReduceRatioParameter" -> 0.9999],
  4187. HoldForm["LatticeReduceRatioParameter" -> 0.9999]}, HoldForm[
  4188. {"LatticeReduceRatioParameter" -> 0.9999}]},
  4189. HoldForm["LatticeReduceOptions" ->
  4190. {"LatticeReduceRatioParameter" -> 0.9999}],
  4191. HoldForm["LatticeReduceOptions" ->
  4192. {"LatticeReduceRatioParameter" -> 0.9999}]},
  4193. HoldForm[SetSystemOptions["LatticeReduceOptions" ->
  4194. {"LatticeReduceRatioParameter" -> 0.9999}]],
  4195. HoldForm["LatticeReduceOptions" -> {"LatticeReduceArithmetic" ->
  4196. InexactNumbers, "LatticeReduceInnerProduct" -> Automatic,
  4197. "LatticeReduceLazySizeReduction" -> Automatic,
  4198. "LatticeReduceRatioParameter" -> 0.9999}]},
  4199. HoldForm["LatticeReduceOptions" -> {"LatticeReduceArithmetic" ->
  4200. InexactNumbers, "LatticeReduceInnerProduct" -> Automatic,
  4201. "LatticeReduceLazySizeReduction" -> Automatic,
  4202. "LatticeReduceRatioParameter" -> 0.9999}]},
  4203. {HoldForm[LatticeReduce[{{1, 4, -6}, {0, 7, -9}}]],
  4204. HoldForm[{{-3, 2, 0}, {-2, -1, 3}}]},
  4205. {{{{{HoldForm[System`IntegerLinearDump`tmp$99353], HoldForm[
  4206. Automatic]}, HoldForm["LatticeReduceRatioParameter" ->
  4207. Automatic], HoldForm["LatticeReduceRatioParameter" ->
  4208. Automatic]}, HoldForm[{"LatticeReduceRatioParameter" ->
  4209. Automatic}]}, HoldForm["LatticeReduceOptions" -> {
  4210. "LatticeReduceRatioParameter" -> Automatic}],
  4211. HoldForm["LatticeReduceOptions" -> {
  4212. "LatticeReduceRatioParameter" -> Automatic}]},
  4213. HoldForm[SetSystemOptions["LatticeReduceOptions" -> {
  4214. "LatticeReduceRatioParameter" -> Automatic}]],
  4215. HoldForm["LatticeReduceOptions" -> {"LatticeReduceArithmetic" ->
  4216. InexactNumbers, "LatticeReduceInnerProduct" -> Automatic,
  4217. "LatticeReduceLazySizeReduction" -> Automatic,
  4218. "LatticeReduceRatioParameter" -> Automatic}]},
  4219. HoldForm[{{-3, 2, 0}, {-2, -1, 3}}]}, HoldForm[{{-3, 2, 0}, {-2,
  4220. -1, 3}}]}, HoldForm[System`IntegerLinearDump`Ap$99352 = {{-3, 2,
  4221. 0}, {-2, -1, 3}}], HoldForm[{{-3, 2, 0}, {-2, -1, 3}}]},
  4222. {HoldForm[System`IntegerLinearDump`DPrint[
  4223. "ICIntLinReduce 1 {A,b,Ap} ", {{{1, 0}, {4, 7}, {-6, -9}},
  4224. {0, -6, 7}, System`IntegerLinearDump`Ap$99352}]],
  4225. HoldForm[If[System`IntegerLinearDump`$ILPDebug,
  4226. Print["ICIntLinReduce 1 {A,b,Ap} ", {{{1, 0}, {4, 7}, {-6, -9}},
  4227. {0, -6, 7}, System`IntegerLinearDump`Ap$99352}]]],
  4228. {HoldForm[System`IntegerLinearDump`$ILPDebug], HoldForm[False]},
  4229. HoldForm[If[False, Print["ICIntLinReduce 1 {A,b,Ap} ",
  4230. {{{1, 0}, {4, 7}, {-6, -9}}, {0, -6, 7},
  4231. System`IntegerLinearDump`Ap$99352}]]], HoldForm[Null]},
  4232. {{{{HoldForm[System`IntegerLinearDump`Ap$99352], HoldForm[{{-3, 2,
  4233. 0}, {-2, -1, 3}}]}, HoldForm[Length[{{-3, 2, 0}, {-2, -1, 3}}]],
  4234. HoldForm[2]}, {HoldForm[System`IntegerLinearDump`n$99352],
  4235. HoldForm[2]}, HoldForm[2 < 2], HoldForm[False]},
  4236. HoldForm[If[False, System`IntegerLinearDump`n$99352 =
  4237. Length[System`IntegerLinearDump`Ap$99352];
  4238. If[System`IntegerLinearDump`n$99352 == 0,
  4239. Return[If[And @@ Thread[{0, -6, 7} <= 0], $Failed, {}]]];
  4240. System`IntegerLinearDump`tmp$99352 = Table[{-Infinity, Infinity},
  4241. {System`IntegerLinearDump`n$99352}];
  4242. System`IntegerLinearDump`ans$99352 =
  4243. System`IntegerLinearDump`sLinearProgramming[Table[0, {
  4244. System`IntegerLinearDump`n$99352}], Transpose[
  4245. System`IntegerLinearDump`Ap$99352], {0, -6, 7},
  4246. System`IntegerLinearDump`tmp$99352];
  4247. Return[If[ListQ[System`IntegerLinearDump`ans$99352], $Failed,
  4248. {}]]]], HoldForm[Null]},
  4249. {{{HoldForm[System`IntegerLinearDump`Ap$99352], HoldForm[{{-3, 2, 0},
  4250. {-2, -1, 3}}]}, HoldForm[Reduce`SmallDiophantineSolution[
  4251. {0, -6, 7}, {{-3, 2, 0}, {-2, -1, 3}}]],
  4252. HoldForm[Module[{System`IntegerLinearDump`max$,
  4253. System`IntegerLinearDump`dim$ = Length[{{-3, 2, 0}, {-2, -1,
  4254. 3}}] + 1, System`IntegerLinearDump`weight$,
  4255. System`IntegerLinearDump`auglat$, System`IntegerLinearDump`lat$,
  4256. System`IntegerLinearDump`k$, System`IntegerLinearDump`soln$},
  4257. System`IntegerLinearDump`lat$ = Prepend[{{-3, 2, 0}, {-2, -1,
  4258. 3}}, {0, -6, 7}]; System`IntegerLinearDump`max$ =
  4259. Max[Flatten[Abs[System`IntegerLinearDump`lat$]]];
  4260. System`IntegerLinearDump`weight$ = System`IntegerLinearDump`dim$*
  4261. System`IntegerLinearDump`max$^2;
  4262. System`IntegerLinearDump`auglat$ = (Prepend[#1, 0] & ) /@
  4263. System`IntegerLinearDump`lat$;
  4264. System`IntegerLinearDump`auglat$[[1,1]] =
  4265. System`IntegerLinearDump`weight$;
  4266. System`IntegerLinearDump`lat$ =
  4267. System`IntegerLinearDump`localLatticeReduce[
  4268. System`IntegerLinearDump`auglat$];
  4269. For[System`IntegerLinearDump`k$ = 1,
  4270. System`IntegerLinearDump`lat$[[System`IntegerLinearDump`k$,
  4271. 1]] == 0, System`IntegerLinearDump`k$++];
  4272. System`IntegerLinearDump`soln$ = System`IntegerLinearDump`lat$[[
  4273. System`IntegerLinearDump`k$]]; Which[
  4274. System`IntegerLinearDump`soln$[[1]] ==
  4275. System`IntegerLinearDump`weight$,
  4276. Drop[System`IntegerLinearDump`soln$, 1],
  4277. System`IntegerLinearDump`soln$[[1]] ==
  4278. -System`IntegerLinearDump`weight$, -Drop[
  4279. System`IntegerLinearDump`soln$, 1], True, {0, -6, 7}]]],
  4280. {{HoldForm[Length[{{-3, 2, 0}, {-2, -1, 3}}]], HoldForm[2]},
  4281. HoldForm[2 + 1], HoldForm[3]},
  4282. {HoldForm[System`IntegerLinearDump`dim$99354 = 3], HoldForm[3]},
  4283. {HoldForm[System`IntegerLinearDump`lat$99354 = Prepend[{{-3, 2, 0},
  4284. {-2, -1, 3}}, {0, -6, 7}];
  4285. System`IntegerLinearDump`max$99354 = Max[Flatten[
  4286. Abs[System`IntegerLinearDump`lat$99354]]];
  4287. System`IntegerLinearDump`weight$99354 =
  4288. System`IntegerLinearDump`dim$99354*
  4289. System`IntegerLinearDump`max$99354^2;
  4290. System`IntegerLinearDump`auglat$99354 = (Prepend[#1, 0] & ) /@
  4291. System`IntegerLinearDump`lat$99354;
  4292. System`IntegerLinearDump`auglat$99354[[1,1]] =
  4293. System`IntegerLinearDump`weight$99354;
  4294. System`IntegerLinearDump`lat$99354 =
  4295. System`IntegerLinearDump`localLatticeReduce[
  4296. System`IntegerLinearDump`auglat$99354];
  4297. For[System`IntegerLinearDump`k$99354 = 1,
  4298. System`IntegerLinearDump`lat$99354[[
  4299. System`IntegerLinearDump`k$99354,1]] == 0,
  4300. System`IntegerLinearDump`k$99354++];
  4301. System`IntegerLinearDump`soln$99354 =
  4302. System`IntegerLinearDump`lat$99354[[
  4303. System`IntegerLinearDump`k$99354]];
  4304. Which[System`IntegerLinearDump`soln$99354[[1]] ==
  4305. System`IntegerLinearDump`weight$99354,
  4306. Drop[System`IntegerLinearDump`soln$99354, 1],
  4307. System`IntegerLinearDump`soln$99354[[1]] ==
  4308. -System`IntegerLinearDump`weight$99354,
  4309. -Drop[System`IntegerLinearDump`soln$99354, 1], True,
  4310. {0, -6, 7}]], {{HoldForm[Prepend[{{-3, 2, 0}, {-2, -1, 3}}, {0,
  4311. -6, 7}]], HoldForm[{{0, -6, 7}, {-3, 2, 0}, {-2, -1, 3}}]},
  4312. HoldForm[System`IntegerLinearDump`lat$99354 = {{0, -6, 7}, {-3,
  4313. 2, 0}, {-2, -1, 3}}], HoldForm[{{0, -6, 7}, {-3, 2, 0},
  4314. {-2, -1, 3}}]},
  4315. {{{{{HoldForm[System`IntegerLinearDump`lat$99354], HoldForm[
  4316. {{0, -6, 7}, {-3, 2, 0}, {-2, -1, 3}}]}, HoldForm[
  4317. Abs[{{0, -6, 7}, {-3, 2, 0}, {-2, -1, 3}}]], HoldForm[
  4318. {Abs[{0, -6, 7}], Abs[{-3, 2, 0}], Abs[{-2, -1, 3}]}], {
  4319. HoldForm[Abs[{0, -6, 7}]], HoldForm[{Abs[0], Abs[-6],
  4320. Abs[7]}], {HoldForm[Abs[0]], HoldForm[0]},
  4321. {HoldForm[Abs[-6]], HoldForm[6]}, {HoldForm[Abs[7]],
  4322. HoldForm[7]}, HoldForm[{0, 6, 7}]}, {HoldForm[
  4323. Abs[{-3, 2, 0}]], HoldForm[{Abs[-3], Abs[2], Abs[0]}],
  4324. {HoldForm[Abs[-3]], HoldForm[3]}, {HoldForm[Abs[2]],
  4325. HoldForm[2]}, {HoldForm[Abs[0]], HoldForm[0]},
  4326. HoldForm[{3, 2, 0}]}, {HoldForm[Abs[{-2, -1, 3}]],
  4327. HoldForm[{Abs[-2], Abs[-1], Abs[3]}], {HoldForm[Abs[-2]],
  4328. HoldForm[2]}, {HoldForm[Abs[-1]], HoldForm[1]},
  4329. {HoldForm[Abs[3]], HoldForm[3]}, HoldForm[{2, 1, 3}]},
  4330. HoldForm[{{0, 6, 7}, {3, 2, 0}, {2, 1, 3}}]}, HoldForm[Flatten[
  4331. {{0, 6, 7}, {3, 2, 0}, {2, 1, 3}}]], HoldForm[{0, 6, 7, 3, 2,
  4332. 0, 2, 1, 3}]}, HoldForm[Max[{0, 6, 7, 3, 2, 0, 2, 1, 3}]],
  4333. HoldForm[7]}, HoldForm[System`IntegerLinearDump`max$99354 = 7],
  4334. HoldForm[7]}, {{{HoldForm[System`IntegerLinearDump`dim$99354],
  4335. HoldForm[3]}, {{HoldForm[System`IntegerLinearDump`max$99354],
  4336. HoldForm[7]}, HoldForm[7^2], HoldForm[49]}, HoldForm[3*49],
  4337. HoldForm[147]}, HoldForm[System`IntegerLinearDump`weight$99354 =
  4338. 147], HoldForm[147]},
  4339. {{{HoldForm[System`IntegerLinearDump`lat$99354],
  4340. HoldForm[{{0, -6, 7}, {-3, 2, 0}, {-2, -1, 3}}]},
  4341. HoldForm[(Prepend[#1, 0] & ) /@ {{0, -6, 7}, {-3, 2, 0},
  4342. {-2, -1, 3}}], HoldForm[{(Prepend[#1, 0] & )[{0, -6, 7}],
  4343. (Prepend[#1, 0] & )[{-3, 2, 0}], (Prepend[#1, 0] & )[
  4344. {-2, -1, 3}]}], {HoldForm[(Prepend[#1, 0] & )[{0, -6, 7}]],
  4345. HoldForm[Prepend[{0, -6, 7}, 0]], HoldForm[{0, 0, -6, 7}]},
  4346. {HoldForm[(Prepend[#1, 0] & )[{-3, 2, 0}]], HoldForm[Prepend[
  4347. {-3, 2, 0}, 0]], HoldForm[{0, -3, 2, 0}]},
  4348. {HoldForm[(Prepend[#1, 0] & )[{-2, -1, 3}]], HoldForm[Prepend[
  4349. {-2, -1, 3}, 0]], HoldForm[{0, -2, -1, 3}]},
  4350. HoldForm[{{0, 0, -6, 7}, {0, -3, 2, 0}, {0, -2, -1, 3}}]},
  4351. HoldForm[System`IntegerLinearDump`auglat$99354 = {{0, 0, -6, 7}, {
  4352. 0, -3, 2, 0}, {0, -2, -1, 3}}], HoldForm[{{0, 0, -6, 7},
  4353. {0, -3, 2, 0}, {0, -2, -1, 3}}]},
  4354. {{HoldForm[System`IntegerLinearDump`weight$99354], HoldForm[147]},
  4355. HoldForm[System`IntegerLinearDump`auglat$99354[[1,1]] = 147],
  4356. HoldForm[147]},
  4357. {{{HoldForm[System`IntegerLinearDump`auglat$99354],
  4358. HoldForm[{{147, 0, -6, 7}, {0, -3, 2, 0}, {0, -2, -1, 3}}]},
  4359. HoldForm[System`IntegerLinearDump`localLatticeReduce[{
  4360. {147, 0, -6, 7}, {0, -3, 2, 0}, {0, -2, -1, 3}}]],
  4361. HoldForm[Module[{System`IntegerLinearDump`tmp$},
  4362. Internal`WithLocalSettings[System`IntegerLinearDump`tmp$ =
  4363. "LatticeReduceRatioParameter" /. ("LatticeReduceOptions" /.
  4364. SystemOptions[]); SetSystemOptions[
  4365. "LatticeReduceOptions" -> {"LatticeReduceRatioParameter" ->
  4366. 0.9999}], LatticeReduce[{{147, 0, -6, 7}, {0, -3, 2, 0},
  4367. {0, -2, -1, 3}}], SetSystemOptions[
  4368. "LatticeReduceOptions" -> {"LatticeReduceRatioParameter" ->
  4369. System`IntegerLinearDump`tmp$}]]]],
  4370. {HoldForm[Internal`WithLocalSettings[
  4371. System`IntegerLinearDump`tmp$99355 =
  4372. "LatticeReduceRatioParameter" /. ("LatticeReduceOptions" /.
  4373. SystemOptions[]); SetSystemOptions[
  4374. "LatticeReduceOptions" -> {"LatticeReduceRatioParameter" ->
  4375. 0.9999}], LatticeReduce[{{147, 0, -6, 7}, {0, -3, 2, 0},
  4376. {0, -2, -1, 3}}], SetSystemOptions[
  4377. "LatticeReduceOptions" -> {"LatticeReduceRatioParameter" ->
  4378. System`IntegerLinearDump`tmp$99355}]]],
  4379. {HoldForm[System`IntegerLinearDump`tmp$99355 =
  4380. "LatticeReduceRatioParameter" /. ("LatticeReduceOptions" /.
  4381. SystemOptions[]); SetSystemOptions[
  4382. "LatticeReduceOptions" -> {"LatticeReduceRatioParameter" ->
  4383. 0.9999}]], {{{{HoldForm[SystemOptions[]],
  4384. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4385. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  4386. StringMatchQ["CatchMachineUnderflow", "*",
  4387. {IgnoreCase -> True}]], HoldForm[True]},
  4388. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4389. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  4390. StringMatchQ["MachineRealPrintPrecision", "*",
  4391. {IgnoreCase -> True}]], HoldForm[True]},
  4392. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4393. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  4394. StringMatchQ["RestorePackageDependencies", "*",
  4395. {IgnoreCase -> True}]], HoldForm[True]},
  4396. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4397. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  4398. StringMatchQ["FormatSortHashableRules", "*",
  4399. {IgnoreCase -> True}]], HoldForm[True]},
  4400. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4401. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  4402. StringMatchQ["EvaluateErrorExceptions", "*",
  4403. {IgnoreCase -> True}]], HoldForm[True]},
  4404. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4405. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  4406. StringMatchQ["GraphicsNewTextFormat", "*",
  4407. {IgnoreCase -> True}]], HoldForm[True]},
  4408. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4409. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  4410. StringMatchQ["GraphicsBoxes", "*", {IgnoreCase ->
  4411. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  4412. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  4413. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  4414. "PauseSubsecond", "*", {IgnoreCase -> True}]],
  4415. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4416. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4417. True}]}, HoldForm[StringMatchQ[
  4418. "PostScriptBufferSize", "*", {IgnoreCase -> True}]],
  4419. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4420. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4421. True}]}, HoldForm[StringMatchQ[
  4422. "ReportInterruptMessages", "*", {IgnoreCase -> True}]],
  4423. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4424. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4425. True}]}, HoldForm[StringMatchQ[
  4426. "EvaluatePlottingFunctionArgument", "*", {IgnoreCase ->
  4427. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  4428. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  4429. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  4430. "ExtendedInverseFunction", "*", {IgnoreCase -> True}]],
  4431. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4432. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4433. True}]}, HoldForm[StringMatchQ[
  4434. "NumericalFunctionCoercionTolerance", "*",
  4435. {IgnoreCase -> True}]], HoldForm[True]},
  4436. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4437. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  4438. StringMatchQ["NumericalFunctionDerivativeFallback", "*",
  4439. {IgnoreCase -> True}]], HoldForm[True]},
  4440. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4441. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  4442. StringMatchQ["EvaluateNumericalFunctionArgument", "*",
  4443. {IgnoreCase -> True}]], HoldForm[True]},
  4444. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4445. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  4446. StringMatchQ["VectorInputOverride", "*", {IgnoreCase ->
  4447. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  4448. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  4449. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  4450. "AllocationOptions", "*", {IgnoreCase -> True}]],
  4451. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4452. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4453. True}]}, HoldForm[StringMatchQ["ArithmeticOptions",
  4454. "*", {IgnoreCase -> True}]], HoldForm[True]},
  4455. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4456. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  4457. StringMatchQ["UnivariatePolynomialOptions", "*",
  4458. {IgnoreCase -> True}]], HoldForm[True]},
  4459. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4460. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  4461. StringMatchQ["CacheOptions", "*", {IgnoreCase ->
  4462. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  4463. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  4464. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  4465. "CompileOptions", "*", {IgnoreCase -> True}]],
  4466. HoldForm[True]}, {HoldForm[
  4467. Parallel`Settings`$RelaunchFailedKernels], HoldForm[
  4468. True]}, {HoldForm[Parallel`Settings`$BusyWait],
  4469. HoldForm[0.01]}, {HoldForm[
  4470. Parallel`Settings`$MathLinkTimeout], HoldForm[15.]},
  4471. {HoldForm[Parallel`Settings`$RecoveryMode], HoldForm[
  4472. "Retry"]}, {HoldForm[Parallel`Settings`$AbortPause],
  4473. HoldForm[2.]}, {{{HoldForm[IgnoreCase -> True], HoldForm[
  4474. IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  4475. HoldForm[StringMatchQ["ParallelOptions", "*",
  4476. {IgnoreCase -> True}]], HoldForm[True]},
  4477. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4478. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  4479. StringMatchQ["LinearEquationOptions", "*",
  4480. {IgnoreCase -> True}]], HoldForm[True]},
  4481. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4482. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  4483. StringMatchQ["GroebnerBasisOptions", "*", {IgnoreCase ->
  4484. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  4485. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  4486. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  4487. "HashOptions", "*", {IgnoreCase -> True}]], HoldForm[
  4488. True]}, {{{HoldForm[IgnoreCase -> True], HoldForm[
  4489. IgnoreCase -> True]}, HoldForm[{IgnoreCase -> True}]},
  4490. HoldForm[StringMatchQ["NeedNotReevaluateOptions", "*",
  4491. {IgnoreCase -> True}]], HoldForm[True]},
  4492. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4493. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  4494. StringMatchQ["LatticeReduceOptions", "*", {IgnoreCase ->
  4495. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  4496. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  4497. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  4498. "PackedArrayOptions", "*", {IgnoreCase -> True}]],
  4499. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4500. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4501. True}]}, HoldForm[StringMatchQ[
  4502. "PolynomialAlgebraOptions", "*", {IgnoreCase ->
  4503. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
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  4505. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  4506. "AlgebraicsOptions", "*", {IgnoreCase -> True}]],
  4507. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4508. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4509. True}]}, HoldForm[StringMatchQ[
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  4511. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
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  4513. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  4514. "OptimizationOptions", "*", {IgnoreCase -> True}]],
  4515. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4516. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4517. True}]}, HoldForm[StringMatchQ["PiecewiseOptions",
  4518. "*", {IgnoreCase -> True}]], HoldForm[True]},
  4519. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
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  4522. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  4523. True], HoldForm[IgnoreCase -> True]}, HoldForm[
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  4525. "VisualizationOptions", "*", {IgnoreCase -> True}]],
  4526. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4527. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4528. True}]}, HoldForm[StringMatchQ[
  4529. "SimplificationOptions", "*", {IgnoreCase -> True}]],
  4530. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4531. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4532. True}]}, HoldForm[StringMatchQ[
  4533. "SpecialFunctionsOptions", "*", {IgnoreCase -> True}]],
  4534. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4535. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4536. True}]}, HoldForm[StringMatchQ[
  4537. "BooleanComputationOptions", "*", {IgnoreCase ->
  4538. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  4539. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  4540. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  4541. "NSolveOptions", "*", {IgnoreCase -> True}]],
  4542. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4543. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4544. True}]}, HoldForm[StringMatchQ["PCREOptions", "*",
  4545. {IgnoreCase -> True}]], HoldForm[True]},
  4546. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4547. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  4548. StringMatchQ["AlgebraicThreadThroughHeads", "*",
  4549. {IgnoreCase -> True}]], HoldForm[True]},
  4550. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4551. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  4552. StringMatchQ["ConditionalAnswerFormat", "*",
  4553. {IgnoreCase -> True}]], HoldForm[True]},
  4554. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4555. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  4556. StringMatchQ["FourierOptions", "*", {IgnoreCase ->
  4557. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  4558. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  4559. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  4560. "GraphPlotOptions", "*", {IgnoreCase -> True}]],
  4561. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4562. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4563. True}]}, HoldForm[StringMatchQ["FindMinimumOptions",
  4564. "*", {IgnoreCase -> True}]], HoldForm[True]},
  4565. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4566. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  4567. StringMatchQ["SparseArrayOptions", "*", {IgnoreCase ->
  4568. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  4569. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  4570. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  4571. "LinearProgrammingOptions", "*", {IgnoreCase ->
  4572. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  4573. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  4574. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  4575. "LinearAlgebraOptions", "*", {IgnoreCase -> True}]],
  4576. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4577. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4578. True}]}, HoldForm[StringMatchQ["TerminateOptions",
  4579. "*", {IgnoreCase -> True}]], HoldForm[True]},
  4580. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4581. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  4582. StringMatchQ["DifferentiationOptions", "*",
  4583. {IgnoreCase -> True}]], HoldForm[True]},
  4584. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4585. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  4586. StringMatchQ["LegacyFrontEnd", "*", {IgnoreCase ->
  4587. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  4588. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  4589. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  4590. "EnforceCallPacket", "*", {IgnoreCase -> True}]],
  4591. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4592. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4593. True}]}, HoldForm[StringMatchQ["WaitUntilEnable",
  4594. "*", {IgnoreCase -> True}]], HoldForm[True]},
  4595. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4596. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  4597. StringMatchQ["MainLoopPauseLength", "*", {IgnoreCase ->
  4598. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  4599. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  4600. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  4601. "MainLoopPreemptiveCheck", "*", {IgnoreCase -> True}]],
  4602. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4603. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4604. True}]}, HoldForm[StringMatchQ[
  4605. "PreemptiveCheckUseThreads", "*", {IgnoreCase ->
  4606. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  4607. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  4608. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  4609. "PreemptiveEvaluationFrequent", "*", {IgnoreCase ->
  4610. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  4611. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  4612. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  4613. "DynamicUpdateInterval", "*", {IgnoreCase -> True}]],
  4614. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4615. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4616. True}]}, HoldForm[StringMatchQ[
  4617. "DynamicCreatedSymbolsUpdateHold", "*", {IgnoreCase ->
  4618. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  4619. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  4620. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  4621. "ZeroTestNumericalPrecision", "*", {IgnoreCase ->
  4622. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  4623. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  4624. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  4625. "ZeroTestMaxPrecision", "*", {IgnoreCase -> True}]],
  4626. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4627. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4628. True}]}, HoldForm[StringMatchQ[
  4629. "StrictLexicalScoping", "*", {IgnoreCase -> True}]],
  4630. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4631. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4632. True}]}, HoldForm[StringMatchQ[
  4633. "MaxPatternMatchRecursion", "*", {IgnoreCase ->
  4634. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
  4635. True], HoldForm[IgnoreCase -> True]}, HoldForm[
  4636. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  4637. "MessageRecursionLimit", "*", {IgnoreCase -> True}]],
  4638. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4639. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4640. True}]}, HoldForm[StringMatchQ[
  4641. "MessageHandlersRecursion", "*", {IgnoreCase ->
  4642. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
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  4644. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  4645. "LegacyNewlineParsingInStrings", "*", {IgnoreCase ->
  4646. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
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  4648. {IgnoreCase -> True}]}, HoldForm[StringMatchQ[
  4649. "DefinitionsReordering", "*", {IgnoreCase -> True}]],
  4650. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4651. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4652. True}]}, HoldForm[StringMatchQ["GlobFileNames", "*",
  4653. {IgnoreCase -> True}]], HoldForm[True]},
  4654. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4655. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
  4656. StringMatchQ["SymbolicProductThreshold", "*",
  4657. {IgnoreCase -> True}]], HoldForm[True]},
  4658. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
  4659. True]}, HoldForm[{IgnoreCase -> True}]}, HoldForm[
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  4661. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
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  4664. "PackageFormat", "*", {IgnoreCase -> True}]],
  4665. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4666. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4667. True}]}, HoldForm[StringMatchQ["RawArrayOptions",
  4668. "*", {IgnoreCase -> True}]], HoldForm[True]},
  4669. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
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  4672. {IgnoreCase -> True}]], HoldForm[True]},
  4673. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
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  4676. {IgnoreCase -> True}]], HoldForm[True]},
  4677. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
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  4684. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4685. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4686. True}]}, HoldForm[StringMatchQ[
  4687. "FiniteElementOptions", "*", {IgnoreCase -> True}]],
  4688. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4689. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4690. True}]}, HoldForm[StringMatchQ["HolonomicOptions",
  4691. "*", {IgnoreCase -> True}]], HoldForm[True]},
  4692. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
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  4694. StringMatchQ["GraphOptions", "*", {IgnoreCase ->
  4695. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
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  4698. "ProcessPriority", "*", {IgnoreCase -> True}]],
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  4700. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4701. True}]}, HoldForm[StringMatchQ[
  4702. "DynamicLibraryOptions", "*", {IgnoreCase -> True}]],
  4703. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
  4704. HoldForm[IgnoreCase -> True]}, HoldForm[{IgnoreCase ->
  4705. True}]}, HoldForm[StringMatchQ["TypesetOptions", "*",
  4706. {IgnoreCase -> True}]], HoldForm[True]},
  4707. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
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  4710. HoldForm[True]}, {{{HoldForm[IgnoreCase -> True],
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  4712. True}]}, HoldForm[StringMatchQ[
  4713. "FileBackedCachingOptions", "*", {IgnoreCase ->
  4714. True}]], HoldForm[True]}, {{{HoldForm[IgnoreCase ->
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  4720. True}]}, HoldForm[StringMatchQ["NDSolveOptions", "*",
  4721. {IgnoreCase -> True}]], HoldForm[True]},
  4722. {{{HoldForm[IgnoreCase -> True], HoldForm[IgnoreCase ->
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  4728. "ThresholdByModulus", "*", {IgnoreCase -> True}]],
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  4757. "ContinuedFractionCrossoverWords" -> 150,
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  4759. "ExpCrossoverWords" -> 140,
  4760. "ExtendedGCDCrossoverWords" -> 5000,
  4761. "FactorialCrossover" -> 1024,
  4762. "FromContinuedFractionCrossoverTerms" -> 150,
  4763. "FromDigitsCrossoverWords" -> 160,
  4764. "GaussianExtendedGCDCrossoverWords" -> 60,
  4765. "GaussianGCDCrossoverWords" -> 60,
  4766. "GCDCrossoverWords" -> Infinity,
  4767. "IndeterminateIntervals" -> True,
  4768. "IntegerDigitsCrossoverWords" -> 60,
  4769. "LehmerHalfGCDCrossoverWords" -> 200,
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  4771. "LogCrossoverWords" -> 26,
  4772. "SinCosArgumentReductionFactor" -> 0.6,
  4773. "SinCosCrossoverWords" -> 260,
  4774. "SinhCoshArgumentReductionFactor" -> 0.6,
  4775. "SinhCoshCrossoverWords" -> 155, "SinhCoshUsingExp" ->
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  4783. "OrderingFunction" -> Automatic,
  4784. "RestartDDManagerFunctions" -> Automatic,
  4785. "ZDDReordering" -> False}, "CacheOptions" ->
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  4787. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
  4788. "CacheKeyMaxBytes" -> 1000000,
  4789. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
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  4798. "CacheResultMaxBytes" -> 500000000,
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  4807. "CacheKeyMaxBytes" -> 1000000,
  4808. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
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  4811. "CacheTableLength" -> 19, "CacheTableWidth" -> 7,
  4812. "CacheKeyMaxBytes" -> 1000000,
  4813. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  4814. None, "ResultComparison" -> LessEqual},
  4815. "Quantity" -> {"Cache" -> True, "CacheTableLength" ->
  4816. 17, "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  4817. 1000000, "CacheResultMaxBytes" -> 1000000,
  4818. "KeyComparison" -> None, "ResultComparison" ->
  4819. LessEqual}, "Symbolic" -> {"Cache" -> True,
  4820. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
  4821. "CacheKeyMaxBytes" -> 1000000,
  4822. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
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  4824. "CatchMachineUnderflow" -> True, "CompileOptions" ->
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  4826. "ArrayCompileLength" -> 250,
  4827. "AutoCompileAllowCoercion" -> False,
  4828. "AutoCompileProtectValues" -> False,
  4829. "AutomaticCompile" -> False,
  4830. "BinaryTensorArithmetic" -> False,
  4831. "CompileAllowCoercion" -> True,
  4832. "CompileConfirmInitializedVariables" -> True,
  4833. "CompiledFunctionArgumentCoercionTolerance" ->
  4834. 2.1072099696478683, "CompiledFunctionMaxFailures" ->
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  4836. "CompileEvaluateConstants" -> True,
  4837. "CompileOptimizeRegisters" -> False,
  4838. "CompileParallelizationThreshold" -> 10,
  4839. "CompileReportCoercion" -> False,
  4840. "CompileReportExternal" -> False,
  4841. "CompileReportFailure" -> False,
  4842. "CompileValuesLast" -> True, "FoldCompileLength" ->
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  4844. "ListableFunctionCompileLength" -> 250,
  4845. "MapCompileLength" -> 100, "NestCompileLength" -> 100,
  4846. "NumericalAllowExternal" -> False,
  4847. "ProductCompileLength" -> 250,
  4848. "ReuseTensorRegisters" -> True, "SumCompileLength" ->
  4849. 250, "SystemCompileOptimizations" -> All,
  4850. "TableCompileLength" -> 250},
  4851. "ConditionalAnswerFormat" -> "ConditionalExpression",
  4852. "DataOptions" -> {"DataPacletParse" -> False,
  4853. "ReturnEntities" -> True, "ReturnQuantities" -> True,
  4854. "UseDataWrappers" -> True}, "DefinitionsReordering" ->
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  4856. {"AlwaysThreadGradients" -> False,
  4857. "DifferentiateHeads" -> True,
  4858. "DirectHighDerivatives" -> True,
  4859. "ExcludedFunctions" -> {Hold, HoldComplete, Less,
  4860. LessEqual, Greater, GreaterEqual, Inequality,
  4861. Unequal, Nand, Nor, Xor, Not, Element, Exists,
  4862. ForAll, Implies, Positive, Negative, NonPositive,
  4863. NonNegative, Replace, ReplaceAll, ReplaceRepeated},
  4864. "ExitOnFailure" -> False,
  4865. "SymbolicAutomaticDifferentiation" -> False},
  4866. "DynamicCreatedSymbolsUpdateHold" -> False,
  4867. "DynamicLibraryOptions" -> {"DynamicLibraryGlobal" ->
  4868. True, "DynamicLibraryLazy" -> True},
  4869. "DynamicUpdateInterval" -> 0.05, "EnforceCallPacket" ->
  4870. False, "EvaluateErrorExceptions" -> False,
  4871. "EvaluateNumericalFunctionArgument" -> True,
  4872. "EvaluatePlottingFunctionArgument" -> False,
  4873. "ExtendedInverseFunction" -> True,
  4874. "FileBackedCachingOptions" -> {"CachingReadOnlyMode" ->
  4875. False, "FileBackedCaching" -> True, "MaxByteCount" ->
  4876. 536870912, "UpdateCheck" -> True},
  4877. "FindMinimumOptions" -> {"DefaultInteriorPointMethod" ->
  4878. "IPOPT", "TreatQuadraticProgramming" -> 0},
  4879. "FiniteElementOptions" ->
  4880. {"CacheInterpolationElements" -> True,
  4881. "DefaultBounds" -> {-1, 1},
  4882. "DefaultElementMeshOrder" -> 2,
  4883. "DefaultExtrapolationHandler" -> {Indeterminate & ,
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  4885. "DefaultNumberOfElements" -> 20,
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  4887. "MinimumElementMeshQuality" -> 0.,
  4888. "SymbolicProcessing" -> 1.},
  4889. "FormatSortHashableRules" -> True, "FourierOptions" ->
  4890. {"CacheInitializationSizeLimit" -> 65537,
  4891. "ConvolutionExtraMemoryLimit" -> Infinity,
  4892. "ConvolutionLibrary" -> "MKL",
  4893. "FFTConvolutionCostFactor" -> 1., "FFTLibrary" ->
  4894. "MKL", "SixStepSize" -> 100000},
  4895. "GeometricFunctionsOptions" ->
  4896. {"UseAlternateSparseSolver" -> False},
  4897. "GlobFileNames" -> False, "GraphicsBoxes" -> True,
  4898. "GraphicsNewTextFormat" -> True, "GraphOptions" ->
  4899. {"CacheResults" -> True, "EdgeCountThreshold" -> 10000,
  4900. "RenderingOrder" -> "VertexFirst",
  4901. "VertexCountThreshold" -> 1000}, "GraphPlotOptions" ->
  4902. {"ArrowThreshold" -> 1048576,
  4903. "BarnesHutOpeningCriterion" -> 1.2, "FineSteps" ->
  4904. False, "InertiaSymmetryThreshold" -> 0.05,
  4905. "MinimumReductionFactor" -> 0.75,
  4906. "NumberBezierSplinePoints" -> 10, "OctreeThreshold" ->
  4907. 20, "PolyminoNumber" -> 100, "PolyminoPacking" ->
  4908. False, "PolyminoPadding" -> 5,
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  4949. "ProveMultiplicities" -> True, "QuadraticQE" ->
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  4980. "MaxNormalSystemRefinement" -> 30,
  4981. "NormalSystemRefinementMethod" -> 1,
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  4989. "MessageHandlersRecursion" -> False,
  4990. "MessageRecursionLimit" -> 1024, "MutationHandlers" ->
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  5002. "NumericalFunctionDerivativeFallback" -> True,
  5003. "OptimizationOptions" -> {"AddEquation" -> True,
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  5006. {"ListableAutoPackLength" -> 250,
  5007. "PackedArrayMathLinkRead" -> True, "UnpackMessage" ->
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  5009. "BusyWait" -> 0.01,
  5010. "MachineFunctionParallelThreshold0" -> 32768,
  5011. "MachineFunctionParallelThreshold1" -> 32768,
  5012. "MachineFunctionParallelThreshold2" -> 16384,
  5013. "MachineFunctionParallelThreshold3" -> 16384,
  5014. "MathLinkTimeout" -> 15., "MKLThreadNumber" -> 4,
  5015. "ParallelThreadNumber" -> 4, "RecoveryMode" ->
  5016. "Retry", "RelaunchFailedKernels" -> True},
  5017. "PauseSubsecond" -> True, "PCREOptions" ->
  5018. {"MatchLimit" -> 15000000, "MatchLimitRecursion" ->
  5019. 10000}, "PiecewiseOptions" -> {"BooleanResult" ->
  5020. Automatic, "ConditionSimplifier" -> Automatic,
  5021. "DirectExpansionCrossovers" -> {10, 7., False},
  5022. "EliminateConditions" -> True,
  5023. "ExpandSpecialPiecewise" -> True,
  5024. "FactorInequalities" -> True,
  5025. "FullStrengthInference" -> False,
  5026. "OrderlessConditions" -> Automatic, "Parallel" ->
  5027. Automatic, "RefineConditions" -> True,
  5028. "Simplification" -> True, "StrictCalculus" ->
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  5030. "PolynomialAlgebraOptions" -> {"ClassicPolynomialGCD" ->
  5031. True, "ConvolutionTimes" -> Automatic,
  5032. "DensePolynomialHeuristic" -> True,
  5033. "DivideAndConquerPower" -> Automatic,
  5034. "EnhancedPolynomialGCD" -> True,
  5035. "IteratedSquarePower" -> Automatic,
  5036. "PolynomialExpand" -> Automatic, "UseNewIntPolyGcd" ->
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  5038. "PreemptiveCheckUseThreads" -> True,
  5039. "PreemptiveEvaluationFrequent" -> True,
  5040. "ProcessPriority" -> "Normal", "RawArrayOptions" ->
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  5042. True}, "ReduceOptions" -> {"ADDSolveBound" -> 8,
  5043. "AlgebraicNumberOutput" -> True, "BDDEliminate" ->
  5044. Automatic, "BooleanInstanceMethod" -> Automatic,
  5045. "BranchLinearDiophantine" -> False,
  5046. "CacheReduceResults" -> Automatic,
  5047. "DiscreteSolutionBound" -> Infinity,
  5048. "ExhaustiveSearchMaxPoints" -> {1000, 10000},
  5049. "FactorEquations" -> Automatic,
  5050. "FactorInequalities" -> False, "FinitePrecisionGB" ->
  5051. False, "ImplicitIntegerSolutions" -> Automatic,
  5052. "IntervalRootsOptions" -> {"AllowIncomplete" -> True,
  5053. "FailDepth" -> 20, "MaxDepth" -> 50,
  5054. "MaxFailures" -> 100, "MaxIncomplete" -> 1000,
  5055. "MaxSimplified" -> 1000, "MaxSteps" -> 100000,
  5056. "MinPrecision" -> 12}, "LatticeReduceDiophantine" ->
  5057. True, "LinearEliminationMaxDepth" -> Infinity,
  5058. "MaxFrobeniusGraph" -> 1000000, "MaxModularPoints" ->
  5059. 1000000, "MaxModularRoots" -> 1000000,
  5060. "MaxPrimeIndex" -> 1000000000,
  5061. "NIntegrateTimeConstraint" -> 60, "PresburgerQE" ->
  5062. Automatic, "QuickReduce" -> False,
  5063. "RandomInstances" -> Automatic, "RealRootsOptions" ->
  5064. {"MaxExtensionDegree" -> 5,
  5065. "MaxFactorSquareFreeDegree" -> 10000,
  5066. "MaxNestedRootsDegree" -> 100,
  5067. "SparsityThreshold" -> 0.02}, "ReorderVariables" ->
  5068. Automatic, "SieveMaxPoints" -> {10000, 1000000},
  5069. "SolveDiscreteSolutionBound" -> 1000000,
  5070. "SyntacticSolveAssumptions" -> False,
  5071. "TranscendentalRecursionLimit" -> 12,
  5072. "UseNestedRoots" -> Automatic, "UseOldReduce" ->
  5073. False, "UseTranscendentalRoots" -> Automatic,
  5074. "UseTranscendentalSolve" -> True}, "RegionOptions" ->
  5075. {"MeshBooleanMethod" -> "External",
  5076. "MeshConversionMessages" -> False,
  5077. "MeshCountThreshold" -> 1048576, "MeshDisplay" ->
  5078. True, "RegionSimplifyMaxLength" -> 10},
  5079. "ReportInterruptMessages" -> False,
  5080. "RestorePackageDependencies" -> True,
  5081. "SimplificationOptions" ->
  5082. {"AssumptionsMaxNonlinearVariables" -> 4,
  5083. "AssumptionsMaxVariables" -> 21,
  5084. "AutosimplifyTrigs" -> True,
  5085. "AutosimplifyTwoArgumentLog" -> True,
  5086. "FiniteSumMaxTerms" -> 30, "FunctionExpandMaxSteps" ->
  5087. 15, "ListableFirst" -> True, "RestartELProver" ->
  5088. False, "SimplifyMaxExponents" -> 100,
  5089. "SimplifyToPiecewise" -> True},
  5090. "SparseArrayOptions" -> {"DotDensityThreshold" -> 1.,
  5091. "DotDensityVectorThreshold" -> 0.25,
  5092. "DotLengthThreshold" -> 10, "GraphicsFactor" -> 0.075,
  5093. "IndexHashThreshold" -> 0.01,
  5094. "MaxUnsparsifyElements" -> Infinity,
  5095. "SortDensityThreshold" -> 0.1,
  5096. "SortLengthThreshold" -> 10, "TreatRepeatedEntries" ->
  5097. First}, "SpecialFunctionsOptions" ->
  5098. {"BernoulliBCrossoverIndex" -> 3000,
  5099. "BernoulliBOverFactorialRecursiveIndexThreshold" ->
  5100. 500, "BesselHalfIndexExpand" -> True,
  5101. "BinomialCrossover" -> 4000, "BinomialGenericZero" ->
  5102. True, "BinomialPolynomialEvaluationThreshold" -> 5,
  5103. "EulerECrossoverIndex" -> 60,
  5104. "GammaMethodCrossover" -> 800},
  5105. "StrictLexicalScoping" -> False,
  5106. "SymbolicProductThreshold" -> 1000000,
  5107. "SymbolicSumThreshold" -> 1000000, "TerminateOptions" ->
  5108. {"ExitOnTerminate" -> True, "TerminateForwardLink" ->
  5109. Null, "TerminateWatchForwardLink" -> Null},
  5110. "ThresholdByModulus" -> True, "TypesetOptions" ->
  5111. {"ColorDirectiveSwatches" -> True,
  5112. "IconicElidedForms" -> True,
  5113. "InterpretableElidedForms" -> False,
  5114. "ParenthesizeScriptBase" -> False},
  5115. "UnivariatePolynomialOptions" ->
  5116. {"PolynomialDivisorCrossoverDegree" -> -1,
  5117. "PolynomialHGCDCrossoverDegree" -> -1,
  5118. "PolynomialMatrixProductCrossoverDegree" -> -1,
  5119. "PolynomialPowerMatrixCrossoverDegree" -> -1,
  5120. "PolynomialProductCrossoverDegree" -> -1,
  5121. "PolynomialQuotientCrossoverDegree" -> -1,
  5122. "PowerMatrixPrimeThreshold" -> 50,
  5123. "UseCubicInPolynomialModularFactoring" -> True,
  5124. "UseQuarticInPolynomialModularFactoring" -> True},
  5125. "VectorInputOverride" -> False,
  5126. "VisualizationOptions" ->
  5127. {"AdaptiveArithmeticPredicates" -> True,
  5128. "ColorLines" -> False, "DomainProjection" -> True,
  5129. "EnableMeshObject" -> True,
  5130. "GeometricExactArithmetic" -> False,
  5131. "GeometricWeighting" -> True,
  5132. "GraphicsComplexPolygonCombine" -> False,
  5133. "GraphicsToComplex" -> False,
  5134. "MaxMemoryAlgebraicPlotting" -> 402653184,
  5135. "MaxRecursionPlotting" -> 15, "MeshObjectVerbose" ->
  5136. False, "MeshRegions2D" -> True, "MeshRegions3D" ->
  5137. True, "MeshRegionStorageDataStructure" -> True,
  5138. "NewExclusionsProcessing" -> False, "OriginalInput" ->
  5139. False, "PlotRangeMethod" -> 1,
  5140. "PolygonReduction2D" -> None, "PolygonReduction3D" ->
  5141. None, "SymbolicGraphics" -> True, "Verbose" -> False,
  5142. "VerboseDelay" -> 0., "VertexTexture" -> True,
  5143. "VertexTextureCoordinatesTranspose" -> False},
  5144. "WaitUntilEnable" -> True, "WaveletOptions" ->
  5145. {"AllowUserDefinedWavelets" -> True,
  5146. "DefaultContinuousWavelet" -> Automatic,
  5147. "DefaultDiscreteWavelet" -> Automatic,
  5148. "ParallelThreading" -> True, "Tolerance" -> 0.00001,
  5149. "WaveletThreadingThreshold" -> 10000},
  5150. "ZeroTestMaxPrecision" -> 5000.,
  5151. "ZeroTestNumericalPrecision" -> 80.}],
  5152. {{{{{HoldForm["Cache" -> True], HoldForm["Cache" ->
  5153. True]}, {HoldForm["CacheTableLength" -> 257],
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  5155. "CacheTableWidth" -> 7], HoldForm[
  5156. "CacheTableWidth" -> 7]}, {HoldForm[
  5157. "CacheKeyMaxBytes" -> 1000000], HoldForm[
  5158. "CacheKeyMaxBytes" -> 1000000]}, {HoldForm[
  5159. "CacheResultMaxBytes" -> 1000000], HoldForm[
  5160. "CacheResultMaxBytes" -> 1000000]}, {HoldForm[
  5161. "KeyComparison" -> None], HoldForm[
  5162. "KeyComparison" -> None]}, {HoldForm[
  5163. "ResultComparison" -> LessEqual], HoldForm[
  5164. "ResultComparison" -> LessEqual]}, HoldForm[
  5165. {"Cache" -> True, "CacheTableLength" -> 257,
  5166. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5167. 1000000, "CacheResultMaxBytes" -> 1000000,
  5168. "KeyComparison" -> None, "ResultComparison" ->
  5169. LessEqual}]}, HoldForm["Derivative" -> {"Cache" ->
  5170. True, "CacheTableLength" -> 257,
  5171. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5172. 1000000, "CacheResultMaxBytes" -> 1000000,
  5173. "KeyComparison" -> None, "ResultComparison" ->
  5174. LessEqual}], HoldForm["Derivative" -> {"Cache" ->
  5175. True, "CacheTableLength" -> 257,
  5176. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5177. 1000000, "CacheResultMaxBytes" -> 1000000,
  5178. "KeyComparison" -> None, "ResultComparison" ->
  5179. LessEqual}]}, {{{HoldForm["Cache" -> True],
  5180. HoldForm["Cache" -> True]}, {HoldForm[
  5181. "CacheTableLength" -> 1021], HoldForm[
  5182. "CacheTableLength" -> 1021]}, {HoldForm[
  5183. "CacheTableWidth" -> 7], HoldForm[
  5184. "CacheTableWidth" -> 7]}, {HoldForm[
  5185. "CacheKeyMaxBytes" -> 1000000], HoldForm[
  5186. "CacheKeyMaxBytes" -> 1000000]}, {HoldForm[
  5187. "CacheResultMaxBytes" -> 1000000], HoldForm[
  5188. "CacheResultMaxBytes" -> 1000000]}, {HoldForm[
  5189. "KeyComparison" -> None], HoldForm[
  5190. "KeyComparison" -> None]}, {HoldForm[
  5191. "ResultComparison" -> LessEqual], HoldForm[
  5192. "ResultComparison" -> LessEqual]}, HoldForm[
  5193. {"Cache" -> True, "CacheTableLength" -> 1021,
  5194. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5195. 1000000, "CacheResultMaxBytes" -> 1000000,
  5196. "KeyComparison" -> None, "ResultComparison" ->
  5197. LessEqual}]}, HoldForm["Developer" -> {"Cache" ->
  5198. True, "CacheTableLength" -> 1021,
  5199. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5200. 1000000, "CacheResultMaxBytes" -> 1000000,
  5201. "KeyComparison" -> None, "ResultComparison" ->
  5202. LessEqual}], HoldForm["Developer" -> {"Cache" ->
  5203. True, "CacheTableLength" -> 1021,
  5204. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5205. 1000000, "CacheResultMaxBytes" -> 1000000,
  5206. "KeyComparison" -> None, "ResultComparison" ->
  5207. LessEqual}]}, {{{HoldForm["Cache" -> True],
  5208. HoldForm["Cache" -> True]}, {HoldForm[
  5209. "CacheTableLength" -> 1021], HoldForm[
  5210. "CacheTableLength" -> 1021]}, {HoldForm[
  5211. "CacheTableWidth" -> 7], HoldForm[
  5212. "CacheTableWidth" -> 7]}, {HoldForm[
  5213. "CacheKeyMaxBytes" -> 500000000], HoldForm[
  5214. "CacheKeyMaxBytes" -> 500000000]}, {HoldForm[
  5215. "CacheResultMaxBytes" -> 500000000], HoldForm[
  5216. "CacheResultMaxBytes" -> 500000000]}, {HoldForm[
  5217. "KeyComparison" -> None], HoldForm[
  5218. "KeyComparison" -> None]}, {HoldForm[
  5219. "ResultComparison" -> LessEqual], HoldForm[
  5220. "ResultComparison" -> LessEqual]}, HoldForm[
  5221. {"Cache" -> True, "CacheTableLength" -> 1021,
  5222. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5223. 500000000, "CacheResultMaxBytes" -> 500000000,
  5224. "KeyComparison" -> None, "ResultComparison" ->
  5225. LessEqual}]}, HoldForm["Geo" -> {"Cache" -> True,
  5226. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  5227. "CacheKeyMaxBytes" -> 500000000,
  5228. "CacheResultMaxBytes" -> 500000000,
  5229. "KeyComparison" -> None, "ResultComparison" ->
  5230. LessEqual}], HoldForm["Geo" -> {"Cache" -> True,
  5231. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  5232. "CacheKeyMaxBytes" -> 500000000,
  5233. "CacheResultMaxBytes" -> 500000000,
  5234. "KeyComparison" -> None, "ResultComparison" ->
  5235. LessEqual}]}, {{{HoldForm["Cache" -> True],
  5236. HoldForm["Cache" -> True]}, {HoldForm[
  5237. "CacheTableLength" -> 257], HoldForm[
  5238. "CacheTableLength" -> 257]}, {HoldForm[
  5239. "CacheTableWidth" -> 7], HoldForm[
  5240. "CacheTableWidth" -> 7]}, {HoldForm[
  5241. "CacheKeyMaxBytes" -> 9223372036854775807], HoldForm[
  5242. "CacheKeyMaxBytes" -> 9223372036854775807]},
  5243. {HoldForm["CacheResultMaxBytes" ->
  5244. 9223372036854775807], HoldForm[
  5245. "CacheResultMaxBytes" -> 9223372036854775807]},
  5246. {HoldForm["KeyComparison" -> None], HoldForm[
  5247. "KeyComparison" -> None]}, {HoldForm[
  5248. "ResultComparison" -> LessEqual], HoldForm[
  5249. "ResultComparison" -> LessEqual]}, HoldForm[
  5250. {"Cache" -> True, "CacheTableLength" -> 257,
  5251. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5252. 9223372036854775807, "CacheResultMaxBytes" ->
  5253. 9223372036854775807, "KeyComparison" -> None,
  5254. "ResultComparison" -> LessEqual}]}, HoldForm[
  5255. "Image" -> {"Cache" -> True, "CacheTableLength" ->
  5256. 257, "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5257. 9223372036854775807, "CacheResultMaxBytes" ->
  5258. 9223372036854775807, "KeyComparison" -> None,
  5259. "ResultComparison" -> LessEqual}], HoldForm[
  5260. "Image" -> {"Cache" -> True, "CacheTableLength" ->
  5261. 257, "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5262. 9223372036854775807, "CacheResultMaxBytes" ->
  5263. 9223372036854775807, "KeyComparison" -> None,
  5264. "ResultComparison" -> LessEqual}]},
  5265. {{{HoldForm["Cache" -> True], HoldForm["Cache" ->
  5266. True]}, {HoldForm["CacheTableLength" -> 1021],
  5267. HoldForm["CacheTableLength" -> 1021]}, {HoldForm[
  5268. "CacheTableWidth" -> 7], HoldForm[
  5269. "CacheTableWidth" -> 7]}, {HoldForm[
  5270. "CacheKeyMaxBytes" -> 1000000], HoldForm[
  5271. "CacheKeyMaxBytes" -> 1000000]}, {HoldForm[
  5272. "CacheResultMaxBytes" -> 1000000], HoldForm[
  5273. "CacheResultMaxBytes" -> 1000000]}, {HoldForm[
  5274. "KeyComparison" -> None], HoldForm[
  5275. "KeyComparison" -> None]}, {HoldForm[
  5276. "ResultComparison" -> GreaterEqual], HoldForm[
  5277. "ResultComparison" -> GreaterEqual]}, HoldForm[
  5278. {"Cache" -> True, "CacheTableLength" -> 1021,
  5279. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5280. 1000000, "CacheResultMaxBytes" -> 1000000,
  5281. "KeyComparison" -> None, "ResultComparison" ->
  5282. GreaterEqual}]}, HoldForm["Numeric" -> {"Cache" ->
  5283. True, "CacheTableLength" -> 1021,
  5284. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5285. 1000000, "CacheResultMaxBytes" -> 1000000,
  5286. "KeyComparison" -> None, "ResultComparison" ->
  5287. GreaterEqual}], HoldForm["Numeric" -> {"Cache" ->
  5288. True, "CacheTableLength" -> 1021,
  5289. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5290. 1000000, "CacheResultMaxBytes" -> 1000000,
  5291. "KeyComparison" -> None, "ResultComparison" ->
  5292. GreaterEqual}]}, {{{HoldForm["Cache" -> True],
  5293. HoldForm["Cache" -> True]}, {HoldForm[
  5294. "CacheTableLength" -> 19], HoldForm[
  5295. "CacheTableLength" -> 19]}, {HoldForm[
  5296. "CacheTableWidth" -> 7], HoldForm[
  5297. "CacheTableWidth" -> 7]}, {HoldForm[
  5298. "CacheKeyMaxBytes" -> 1000000], HoldForm[
  5299. "CacheKeyMaxBytes" -> 1000000]}, {HoldForm[
  5300. "CacheResultMaxBytes" -> 1000000], HoldForm[
  5301. "CacheResultMaxBytes" -> 1000000]}, {HoldForm[
  5302. "KeyComparison" -> None], HoldForm[
  5303. "KeyComparison" -> None]}, {HoldForm[
  5304. "ResultComparison" -> LessEqual], HoldForm[
  5305. "ResultComparison" -> LessEqual]}, HoldForm[
  5306. {"Cache" -> True, "CacheTableLength" -> 19,
  5307. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5308. 1000000, "CacheResultMaxBytes" -> 1000000,
  5309. "KeyComparison" -> None, "ResultComparison" ->
  5310. LessEqual}]}, HoldForm["ParametricFunction" ->
  5311. {"Cache" -> True, "CacheTableLength" -> 19,
  5312. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5313. 1000000, "CacheResultMaxBytes" -> 1000000,
  5314. "KeyComparison" -> None, "ResultComparison" ->
  5315. LessEqual}], HoldForm["ParametricFunction" ->
  5316. {"Cache" -> True, "CacheTableLength" -> 19,
  5317. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5318. 1000000, "CacheResultMaxBytes" -> 1000000,
  5319. "KeyComparison" -> None, "ResultComparison" ->
  5320. LessEqual}]}, {{{HoldForm["Cache" -> True],
  5321. HoldForm["Cache" -> True]}, {HoldForm[
  5322. "CacheTableLength" -> 17], HoldForm[
  5323. "CacheTableLength" -> 17]}, {HoldForm[
  5324. "CacheTableWidth" -> 7], HoldForm[
  5325. "CacheTableWidth" -> 7]}, {HoldForm[
  5326. "CacheKeyMaxBytes" -> 1000000], HoldForm[
  5327. "CacheKeyMaxBytes" -> 1000000]}, {HoldForm[
  5328. "CacheResultMaxBytes" -> 1000000], HoldForm[
  5329. "CacheResultMaxBytes" -> 1000000]}, {HoldForm[
  5330. "KeyComparison" -> None], HoldForm[
  5331. "KeyComparison" -> None]}, {HoldForm[
  5332. "ResultComparison" -> LessEqual], HoldForm[
  5333. "ResultComparison" -> LessEqual]}, HoldForm[
  5334. {"Cache" -> True, "CacheTableLength" -> 17,
  5335. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5336. 1000000, "CacheResultMaxBytes" -> 1000000,
  5337. "KeyComparison" -> None, "ResultComparison" ->
  5338. LessEqual}]}, HoldForm["Quantity" -> {"Cache" ->
  5339. True, "CacheTableLength" -> 17,
  5340. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5341. 1000000, "CacheResultMaxBytes" -> 1000000,
  5342. "KeyComparison" -> None, "ResultComparison" ->
  5343. LessEqual}], HoldForm["Quantity" -> {"Cache" ->
  5344. True, "CacheTableLength" -> 17,
  5345. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5346. 1000000, "CacheResultMaxBytes" -> 1000000,
  5347. "KeyComparison" -> None, "ResultComparison" ->
  5348. LessEqual}]}, {{{HoldForm["Cache" -> True],
  5349. HoldForm["Cache" -> True]}, {HoldForm[
  5350. "CacheTableLength" -> 257], HoldForm[
  5351. "CacheTableLength" -> 257]}, {HoldForm[
  5352. "CacheTableWidth" -> 7], HoldForm[
  5353. "CacheTableWidth" -> 7]}, {HoldForm[
  5354. "CacheKeyMaxBytes" -> 1000000], HoldForm[
  5355. "CacheKeyMaxBytes" -> 1000000]}, {HoldForm[
  5356. "CacheResultMaxBytes" -> 1000000], HoldForm[
  5357. "CacheResultMaxBytes" -> 1000000]}, {HoldForm[
  5358. "KeyComparison" -> None], HoldForm[
  5359. "KeyComparison" -> None]}, {HoldForm[
  5360. "ResultComparison" -> LessEqual], HoldForm[
  5361. "ResultComparison" -> LessEqual]}, HoldForm[
  5362. {"Cache" -> True, "CacheTableLength" -> 257,
  5363. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5364. 1000000, "CacheResultMaxBytes" -> 1000000,
  5365. "KeyComparison" -> None, "ResultComparison" ->
  5366. LessEqual}]}, HoldForm["Symbolic" -> {"Cache" ->
  5367. True, "CacheTableLength" -> 257,
  5368. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5369. 1000000, "CacheResultMaxBytes" -> 1000000,
  5370. "KeyComparison" -> None, "ResultComparison" ->
  5371. LessEqual}], HoldForm["Symbolic" -> {"Cache" ->
  5372. True, "CacheTableLength" -> 257,
  5373. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5374. 1000000, "CacheResultMaxBytes" -> 1000000,
  5375. "KeyComparison" -> None, "ResultComparison" ->
  5376. LessEqual}]}, HoldForm[{"Derivative" ->
  5377. {"Cache" -> True, "CacheTableLength" -> 257,
  5378. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5379. 1000000, "CacheResultMaxBytes" -> 1000000,
  5380. "KeyComparison" -> None, "ResultComparison" ->
  5381. LessEqual}, "Developer" -> {"Cache" -> True,
  5382. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  5383. "CacheKeyMaxBytes" -> 1000000,
  5384. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  5385. None, "ResultComparison" -> LessEqual}, "Geo" ->
  5386. {"Cache" -> True, "CacheTableLength" -> 1021,
  5387. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5388. 500000000, "CacheResultMaxBytes" -> 500000000,
  5389. "KeyComparison" -> None, "ResultComparison" ->
  5390. LessEqual}, "Image" -> {"Cache" -> True,
  5391. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
  5392. "CacheKeyMaxBytes" -> 9223372036854775807,
  5393. "CacheResultMaxBytes" -> 9223372036854775807,
  5394. "KeyComparison" -> None, "ResultComparison" ->
  5395. LessEqual}, "Numeric" -> {"Cache" -> True,
  5396. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  5397. "CacheKeyMaxBytes" -> 1000000,
  5398. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  5399. None, "ResultComparison" -> GreaterEqual},
  5400. "ParametricFunction" -> {"Cache" -> True,
  5401. "CacheTableLength" -> 19, "CacheTableWidth" -> 7,
  5402. "CacheKeyMaxBytes" -> 1000000,
  5403. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  5404. None, "ResultComparison" -> LessEqual},
  5405. "Quantity" -> {"Cache" -> True, "CacheTableLength" ->
  5406. 17, "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5407. 1000000, "CacheResultMaxBytes" -> 1000000,
  5408. "KeyComparison" -> None, "ResultComparison" ->
  5409. LessEqual}, "Symbolic" -> {"Cache" -> True,
  5410. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
  5411. "CacheKeyMaxBytes" -> 1000000,
  5412. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  5413. None, "ResultComparison" -> LessEqual}}]},
  5414. HoldForm["CacheOptions" -> {"Derivative" -> {"Cache" ->
  5415. True, "CacheTableLength" -> 257,
  5416. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5417. 1000000, "CacheResultMaxBytes" -> 1000000,
  5418. "KeyComparison" -> None, "ResultComparison" ->
  5419. LessEqual}, "Developer" -> {"Cache" -> True,
  5420. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  5421. "CacheKeyMaxBytes" -> 1000000,
  5422. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  5423. None, "ResultComparison" -> LessEqual}, "Geo" ->
  5424. {"Cache" -> True, "CacheTableLength" -> 1021,
  5425. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5426. 500000000, "CacheResultMaxBytes" -> 500000000,
  5427. "KeyComparison" -> None, "ResultComparison" ->
  5428. LessEqual}, "Image" -> {"Cache" -> True,
  5429. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
  5430. "CacheKeyMaxBytes" -> 9223372036854775807,
  5431. "CacheResultMaxBytes" -> 9223372036854775807,
  5432. "KeyComparison" -> None, "ResultComparison" ->
  5433. LessEqual}, "Numeric" -> {"Cache" -> True,
  5434. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  5435. "CacheKeyMaxBytes" -> 1000000,
  5436. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  5437. None, "ResultComparison" -> GreaterEqual},
  5438. "ParametricFunction" -> {"Cache" -> True,
  5439. "CacheTableLength" -> 19, "CacheTableWidth" -> 7,
  5440. "CacheKeyMaxBytes" -> 1000000,
  5441. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  5442. None, "ResultComparison" -> LessEqual},
  5443. "Quantity" -> {"Cache" -> True, "CacheTableLength" ->
  5444. 17, "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5445. 1000000, "CacheResultMaxBytes" -> 1000000,
  5446. "KeyComparison" -> None, "ResultComparison" ->
  5447. LessEqual}, "Symbolic" -> {"Cache" -> True,
  5448. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
  5449. "CacheKeyMaxBytes" -> 1000000,
  5450. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  5451. None, "ResultComparison" -> LessEqual}}],
  5452. HoldForm["CacheOptions" -> {"Derivative" -> {"Cache" ->
  5453. True, "CacheTableLength" -> 257,
  5454. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5455. 1000000, "CacheResultMaxBytes" -> 1000000,
  5456. "KeyComparison" -> None, "ResultComparison" ->
  5457. LessEqual}, "Developer" -> {"Cache" -> True,
  5458. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  5459. "CacheKeyMaxBytes" -> 1000000,
  5460. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  5461. None, "ResultComparison" -> LessEqual}, "Geo" ->
  5462. {"Cache" -> True, "CacheTableLength" -> 1021,
  5463. "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5464. 500000000, "CacheResultMaxBytes" -> 500000000,
  5465. "KeyComparison" -> None, "ResultComparison" ->
  5466. LessEqual}, "Image" -> {"Cache" -> True,
  5467. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
  5468. "CacheKeyMaxBytes" -> 9223372036854775807,
  5469. "CacheResultMaxBytes" -> 9223372036854775807,
  5470. "KeyComparison" -> None, "ResultComparison" ->
  5471. LessEqual}, "Numeric" -> {"Cache" -> True,
  5472. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  5473. "CacheKeyMaxBytes" -> 1000000,
  5474. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  5475. None, "ResultComparison" -> GreaterEqual},
  5476. "ParametricFunction" -> {"Cache" -> True,
  5477. "CacheTableLength" -> 19, "CacheTableWidth" -> 7,
  5478. "CacheKeyMaxBytes" -> 1000000,
  5479. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  5480. None, "ResultComparison" -> LessEqual},
  5481. "Quantity" -> {"Cache" -> True, "CacheTableLength" ->
  5482. 17, "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5483. 1000000, "CacheResultMaxBytes" -> 1000000,
  5484. "KeyComparison" -> None, "ResultComparison" ->
  5485. LessEqual}, "Symbolic" -> {"Cache" -> True,
  5486. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
  5487. "CacheKeyMaxBytes" -> 1000000,
  5488. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  5489. None, "ResultComparison" -> LessEqual}}]},
  5490. {{{{{HoldForm["WarningMessage" -> True], HoldForm[
  5491. "WarningMessage" -> True]}, HoldForm[
  5492. {Indeterminate & , "WarningMessage" -> True}]},
  5493. HoldForm["DefaultExtrapolationHandler" ->
  5494. {Indeterminate & , "WarningMessage" -> True}],
  5495. HoldForm["DefaultExtrapolationHandler" ->
  5496. {Indeterminate & , "WarningMessage" -> True}]},
  5497. HoldForm[{"CacheInterpolationElements" -> True,
  5498. "DefaultBounds" -> {-1, 1},
  5499. "DefaultElementMeshOrder" -> 2,
  5500. "DefaultExtrapolationHandler" -> {Indeterminate & ,
  5501. "WarningMessage" -> True},
  5502. "DefaultNumberOfElements" -> 20,
  5503. "InterpolationToleranceFactor" -> 0.0001,
  5504. "MinimumElementMeshQuality" -> 0.,
  5505. "SymbolicProcessing" -> 1.}]}, HoldForm[
  5506. "FiniteElementOptions" ->
  5507. {"CacheInterpolationElements" -> True,
  5508. "DefaultBounds" -> {-1, 1},
  5509. "DefaultElementMeshOrder" -> 2,
  5510. "DefaultExtrapolationHandler" -> {Indeterminate & ,
  5511. "WarningMessage" -> True},
  5512. "DefaultNumberOfElements" -> 20,
  5513. "InterpolationToleranceFactor" -> 0.0001,
  5514. "MinimumElementMeshQuality" -> 0.,
  5515. "SymbolicProcessing" -> 1.}], HoldForm[
  5516. "FiniteElementOptions" ->
  5517. {"CacheInterpolationElements" -> True,
  5518. "DefaultBounds" -> {-1, 1},
  5519. "DefaultElementMeshOrder" -> 2,
  5520. "DefaultExtrapolationHandler" -> {Indeterminate & ,
  5521. "WarningMessage" -> True},
  5522. "DefaultNumberOfElements" -> 20,
  5523. "InterpolationToleranceFactor" -> 0.0001,
  5524. "MinimumElementMeshQuality" -> 0.,
  5525. "SymbolicProcessing" -> 1.}]}, HoldForm[
  5526. {"AlgebraicsOptions" -> {"AlgebraicZeroTestParameters" ->
  5527. {1000., 1.*^6, 10000},
  5528. "ContinuedFractionRootIsolation" -> True,
  5529. "NestedRootInitialPrecision" -> 30.102999566398122,
  5530. "NonalgebraicRootToRadicals" -> False,
  5531. "NumericRootFunctionHeuristic" -> True,
  5532. "NumericRootFunctionTolerance" -> 0.1,
  5533. "PolynomialGCDCrossover" -> 14,
  5534. "RealRootIsolationCrossover" -> 10,
  5535. "RootReduceMethodCrossovers" -> {0.75, 64, 128}},
  5536. "AlgebraicThreadThroughHeads" -> {And, Equal, Greater,
  5537. GreaterEqual, Implies, Inequality, Less, LessEqual,
  5538. List, Nand, Nor, Not, Or, Rule, Unequal, Xor},
  5539. "AllocationOptions" ->
  5540. {"AllocationExceptionThreshold" -> 1000000,
  5541. "ReplaceGMPAllocator" -> True,
  5542. "ReplaceMKLAllocator" -> True}, "ArithmeticOptions" ->
  5543. {"ArcTanArgumentReductionFactor" -> 0.3,
  5544. "ArcTanCrossoverWords" -> 88,
  5545. "BinarySplittingFactor" -> 2.5,
  5546. "ContinuedFractionCrossoverWords" -> 150,
  5547. "ExpArgumentReductionFactor" -> 0.6,
  5548. "ExpCrossoverWords" -> 140,
  5549. "ExtendedGCDCrossoverWords" -> 5000,
  5550. "FactorialCrossover" -> 1024,
  5551. "FromContinuedFractionCrossoverTerms" -> 150,
  5552. "FromDigitsCrossoverWords" -> 160,
  5553. "GaussianExtendedGCDCrossoverWords" -> 60,
  5554. "GaussianGCDCrossoverWords" -> 60,
  5555. "GCDCrossoverWords" -> Infinity,
  5556. "IndeterminateIntervals" -> True,
  5557. "IntegerDigitsCrossoverWords" -> 60,
  5558. "LehmerHalfGCDCrossoverWords" -> 200,
  5559. "LogArgumentReductionFactor" -> 0.2,
  5560. "LogCrossoverWords" -> 26,
  5561. "SinCosArgumentReductionFactor" -> 0.6,
  5562. "SinCosCrossoverWords" -> 260,
  5563. "SinhCoshArgumentReductionFactor" -> 0.6,
  5564. "SinhCoshCrossoverWords" -> 155, "SinhCoshUsingExp" ->
  5565. True, "SqrtCrossoverWords" -> 13750,
  5566. "SymbolicEqualityTest" -> True},
  5567. "BooleanComputationOptions" -> {"BDDReordering" ->
  5568. False, "ConversionMethodParameters" -> {12, 1., 100,
  5569. False}, "DDFastCacheGrowthLimit" -> Automatic,
  5570. "DDMaxCacheSize" -> Automatic, "DDMaxMemory" ->
  5571. Automatic, "MinimizationManualReordering" -> True,
  5572. "OrderingFunction" -> Automatic,
  5573. "RestartDDManagerFunctions" -> Automatic,
  5574. "ZDDReordering" -> False}, "CacheOptions" ->
  5575. {"Derivative" -> {"Cache" -> True,
  5576. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
  5577. "CacheKeyMaxBytes" -> 1000000,
  5578. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  5579. None, "ResultComparison" -> LessEqual},
  5580. "Developer" -> {"Cache" -> True, "CacheTableLength" ->
  5581. 1021, "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5582. 1000000, "CacheResultMaxBytes" -> 1000000,
  5583. "KeyComparison" -> None, "ResultComparison" ->
  5584. LessEqual}, "Geo" -> {"Cache" -> True,
  5585. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  5586. "CacheKeyMaxBytes" -> 500000000,
  5587. "CacheResultMaxBytes" -> 500000000,
  5588. "KeyComparison" -> None, "ResultComparison" ->
  5589. LessEqual}, "Image" -> {"Cache" -> True,
  5590. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
  5591. "CacheKeyMaxBytes" -> 9223372036854775807,
  5592. "CacheResultMaxBytes" -> 9223372036854775807,
  5593. "KeyComparison" -> None, "ResultComparison" ->
  5594. LessEqual}, "Numeric" -> {"Cache" -> True,
  5595. "CacheTableLength" -> 1021, "CacheTableWidth" -> 7,
  5596. "CacheKeyMaxBytes" -> 1000000,
  5597. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  5598. None, "ResultComparison" -> GreaterEqual},
  5599. "ParametricFunction" -> {"Cache" -> True,
  5600. "CacheTableLength" -> 19, "CacheTableWidth" -> 7,
  5601. "CacheKeyMaxBytes" -> 1000000,
  5602. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  5603. None, "ResultComparison" -> LessEqual},
  5604. "Quantity" -> {"Cache" -> True, "CacheTableLength" ->
  5605. 17, "CacheTableWidth" -> 7, "CacheKeyMaxBytes" ->
  5606. 1000000, "CacheResultMaxBytes" -> 1000000,
  5607. "KeyComparison" -> None, "ResultComparison" ->
  5608. LessEqual}, "Symbolic" -> {"Cache" -> True,
  5609. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
  5610. "CacheKeyMaxBytes" -> 1000000,
  5611. "CacheResultMaxBytes" -> 1000000, "KeyComparison" ->
  5612. None, "ResultComparison" -> LessEqual}},
  5613. "CatchMachineUnderflow" -> True, "CompileOptions" ->
  5614. {"ApplyCompileLength" -> Infinity,
  5615. "ArrayCompileLength" -> 250,
  5616. "AutoCompileAllowCoercion" -> False,
  5617. "AutoCompileProtectValues" -> False,
  5618. "AutomaticCompile" -> False,
  5619. "BinaryTensorArithmetic" -> False,
  5620. "CompileAllowCoercion" -> True,
  5621. "CompileConfirmInitializedVariables" -> True,
  5622. "CompiledFunctionArgumentCoercionTolerance" ->
  5623. 2.1072099696478683, "CompiledFunctionMaxFailures" ->
  5624. 3, "CompileDynamicScoping" -> False,
  5625. "CompileEvaluateConstants" -> True,
  5626. "CompileOptimizeRegisters" -> False,
  5627. "CompileParallelizationThreshold" -> 10,
  5628. "CompileReportCoercion" -> False,
  5629. "CompileReportExternal" -> False,
  5630. "CompileReportFailure" -> False,
  5631. "CompileValuesLast" -> True, "FoldCompileLength" ->
  5632. 100, "InternalCompileMessages" -> False,
  5633. "ListableFunctionCompileLength" -> 250,
  5634. "MapCompileLength" -> 100, "NestCompileLength" -> 100,
  5635. "NumericalAllowExternal" -> False,
  5636. "ProductCompileLength" -> 250,
  5637. "ReuseTensorRegisters" -> True, "SumCompileLength" ->
  5638. 250, "SystemCompileOptimizations" -> All,
  5639. "TableCompileLength" -> 250},
  5640. "ConditionalAnswerFormat" -> "ConditionalExpression",
  5641. "DataOptions" -> {"DataPacletParse" -> False,
  5642. "ReturnEntities" -> True, "ReturnQuantities" -> True,
  5643. "UseDataWrappers" -> True}, "DefinitionsReordering" ->
  5644. "Default", "DifferentiationOptions" ->
  5645. {"AlwaysThreadGradients" -> False,
  5646. "DifferentiateHeads" -> True,
  5647. "DirectHighDerivatives" -> True,
  5648. "ExcludedFunctions" -> {Hold, HoldComplete, Less,
  5649. LessEqual, Greater, GreaterEqual, Inequality,
  5650. Unequal, Nand, Nor, Xor, Not, Element, Exists,
  5651. ForAll, Implies, Positive, Negative, NonPositive,
  5652. NonNegative, Replace, ReplaceAll, ReplaceRepeated},
  5653. "ExitOnFailure" -> False,
  5654. "SymbolicAutomaticDifferentiation" -> False},
  5655. "DynamicCreatedSymbolsUpdateHold" -> False,
  5656. "DynamicLibraryOptions" -> {"DynamicLibraryGlobal" ->
  5657. True, "DynamicLibraryLazy" -> True},
  5658. "DynamicUpdateInterval" -> 0.05, "EnforceCallPacket" ->
  5659. False, "EvaluateErrorExceptions" -> False,
  5660. "EvaluateNumericalFunctionArgument" -> True,
  5661. "EvaluatePlottingFunctionArgument" -> False,
  5662. "ExtendedInverseFunction" -> True,
  5663. "FileBackedCachingOptions" -> {"CachingReadOnlyMode" ->
  5664. False, "FileBackedCaching" -> True, "MaxByteCount" ->
  5665. 536870912, "UpdateCheck" -> True},
  5666. "FindMinimumOptions" -> {"DefaultInteriorPointMethod" ->
  5667. "IPOPT", "TreatQuadraticProgramming" -> 0},
  5668. "FiniteElementOptions" ->
  5669. {"CacheInterpolationElements" -> True,
  5670. "DefaultBounds" -> {-1, 1},
  5671. "DefaultElementMeshOrder" -> 2,
  5672. "DefaultExtrapolationHandler" -> {Indeterminate & ,
  5673. "WarningMessage" -> True},
  5674. "DefaultNumberOfElements" -> 20,
  5675. "InterpolationToleranceFactor" -> 0.0001,
  5676. "MinimumElementMeshQuality" -> 0.,
  5677. "SymbolicProcessing" -> 1.},
  5678. "FormatSortHashableRules" -> True, "FourierOptions" ->
  5679. {"CacheInitializationSizeLimit" -> 65537,
  5680. "ConvolutionExtraMemoryLimit" -> Infinity,
  5681. "ConvolutionLibrary" -> "MKL",
  5682. "FFTConvolutionCostFactor" -> 1., "FFTLibrary" ->
  5683. "MKL", "SixStepSize" -> 100000},
  5684. "GeometricFunctionsOptions" ->
  5685. {"UseAlternateSparseSolver" -> False},
  5686. "GlobFileNames" -> False, "GraphicsBoxes" -> True,
  5687. "GraphicsNewTextFormat" -> True, "GraphOptions" ->
  5688. {"CacheResults" -> True, "EdgeCountThreshold" -> 10000,
  5689. "RenderingOrder" -> "VertexFirst",
  5690. "VertexCountThreshold" -> 1000}, "GraphPlotOptions" ->
  5691. {"ArrowThreshold" -> 1048576,
  5692. "BarnesHutOpeningCriterion" -> 1.2, "FineSteps" ->
  5693. False, "InertiaSymmetryThreshold" -> 0.05,
  5694. "MinimumReductionFactor" -> 0.75,
  5695. "NumberBezierSplinePoints" -> 10, "OctreeThreshold" ->
  5696. 20, "PolyminoNumber" -> 100, "PolyminoPacking" ->
  5697. False, "PolyminoPadding" -> 5,
  5698. "RepulsiveForceConstant" -> 0.2, "ScaleCoordinates" ->
  5699. True, "ScaleCoordinatesForUnitAverageEdgeLength" ->
  5700. True, "VertexLabelThreshold" -> 1048576,
  5701. "VertexPointThreshold" -> 500},
  5702. "GroebnerBasisOptions" ->
  5703. {"EliminateFromGroebnerBasis" -> True,
  5704. "SyzygyCriterionLevel" -> 2, "UseGroebnerTrace" ->
  5705. Automatic}, "GroupTheoryOptions" ->
  5706. {"RandomizedSchreierSimsChecks" -> 100,
  5707. "StandardListToCyclesConvention" -> True},
  5708. "HashOptions" -> {"HashArrayLengthThreshold" ->
  5709. Infinity, "HashByteLengthThreshold" -> Infinity,
  5710. "HashTableGrowLoadFactor" -> 2.,
  5711. "HashTableShrinkLoadFactor" -> 0.5},
  5712. "HolonomicOptions" -> {"FunctionSymbol" -> \[FormalY],
  5713. "IteratorSymbol" -> \[FormalN], "MaxHolonomicOrder" ->
  5714. 64, "MaxPolynomialDegree" -> 64, "SequenceSymbol" ->
  5715. \[FormalY], "VariableSymbol" -> \[FormalX]},
  5716. "ImageProcessingOptions" -> {"Accelerators" -> {"IPP"},
  5717. "Timing" -> False, "Verbose" -> False},
  5718. "ImportExportOptions" -> {"Verbose" -> False},
  5719. "InequalitySolvingOptions" -> {"ARSDecision" -> False,
  5720. "BrownProjection" -> True, "CAD" -> True,
  5721. "CADAlgebraicCoefficients" -> True,
  5722. "CADBacksubstitution" -> Automatic,
  5723. "CADCombineCells" -> True, "CADConstruction" ->
  5724. Automatic, "CADDefaultPrecision" ->
  5725. 30.102999566398122, "CADExtraPrecision" ->
  5726. 30.102999566398122, "CADMethod" -> Automatic,
  5727. "CADNRootsMethod" -> Automatic, "CADSimplifyBounds" ->
  5728. True, "CADSortVariables" -> Automatic,
  5729. "CADZeroTest" -> {0, Infinity},
  5730. "EquationalConstraintsCAD" -> Automatic,
  5731. "FGLMBasisConversion" -> False, "FGLMElimination" ->
  5732. Automatic, "GenericCAD" -> True, "GroebnerCAD" ->
  5733. True, "LinearDecisionMethodCrossovers" -> {0, 30, 20,
  5734. Automatic}, "LinearEquations" -> True, "LinearQE" ->
  5735. True, "LWDecision" -> True, "LWPreprocessor" ->
  5736. Automatic, "NumericVariableRoots" -> Automatic,
  5737. "ProjectAlgebraic" -> Automatic,
  5738. "ProveMultiplicities" -> True, "QuadraticQE" ->
  5739. Automatic, "QVSPreprocessor" -> False,
  5740. "ReducePowers" -> Automatic, "RootReduced" -> False,
  5741. "Simplex" -> True, "SimplifyInequalities" ->
  5742. Automatic, "ThreadOr" -> True, "ZengDecision" ->
  5743. False}, "LatticeReduceOptions" ->
  5744. {"LatticeReduceArithmetic" -> InexactNumbers,
  5745. "LatticeReduceInnerProduct" -> Automatic,
  5746. "LatticeReduceLazySizeReduction" -> Automatic,
  5747. "LatticeReduceRatioParameter" -> Automatic},
  5748. "LegacyFrontEnd" -> False,
  5749. "LegacyNewlineParsingInStrings" -> False,
  5750. "LinearAlgebraOptions" -> {"ArnoldiDensityRatio" -> 0.2,
  5751. "ArnoldiEigenvaluesWarningRatio" -> 0.5,
  5752. "ArnoldiExtraIterations" -> 100,
  5753. "AutomaticArnoldiEigenvaluesWarningRatio" -> 0.2,
  5754. "DetectStructure" -> Automatic,
  5755. "LeastSquaresIterDiagConst" -> 1.*^-8,
  5756. "LinearSolveTryLeastSquares" -> False,
  5757. "UseIntegerBlas" -> Automatic},
  5758. "LinearEquationOptions" ->
  5759. {"BandedMatrixDensityRatio" -> 0.5,
  5760. "GMRESCheckPrecToNonprecRatio" -> True,
  5761. "GMRESStoppingCriterionMultiplier" -> 1.001,
  5762. "SparseMaxDensity" -> 0.04,
  5763. "SparseMinNumberOfEquations" -> 50},
  5764. "LinearProgrammingOptions" ->
  5765. {"AggressiveDenseColumnIdentification" -> False,
  5766. "InteriorPointAlwaysReturnSolution" -> False,
  5767. "InteriorPointSize" -> 100,
  5768. "MaxAugmentedSystemRefinement" -> 2,
  5769. "MaxNormalSystemRefinement" -> 30,
  5770. "NormalSystemRefinementMethod" -> 1,
  5771. "NumberCoefficientsOnly" -> False, "Preprocessing" ->
  5772. True, "RevisedSimplexCutOffRatio" -> 2.,
  5773. "RevisedSimplexSize" -> 200},
  5774. "MachineRealPrintPrecision" -> 6,
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  5874. "AutosimplifyTwoArgumentLog" -> True,
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  5894. "StrictLexicalScoping" -> False,
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  5906. "PolynomialHGCDCrossoverDegree" -> -1,
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  5909. "PolynomialProductCrossoverDegree" -> -1,
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  5963. "ExpCrossoverWords" -> 140,
  5964. "ExtendedGCDCrossoverWords" -> 5000,
  5965. "FactorialCrossover" -> 1024,
  5966. "FromContinuedFractionCrossoverTerms" -> 150,
  5967. "FromDigitsCrossoverWords" -> 160,
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  5969. "GaussianGCDCrossoverWords" -> 60,
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  5975. "LogCrossoverWords" -> 26,
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  5977. "SinCosCrossoverWords" -> 260,
  5978. "SinhCoshArgumentReductionFactor" -> 0.6,
  5979. "SinhCoshCrossoverWords" -> 155, "SinhCoshUsingExp" ->
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  6024. "CacheTableLength" -> 257, "CacheTableWidth" -> 7,
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  6099. "GeometricFunctionsOptions" ->
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  6101. "GlobFileNames" -> False, "GraphicsBoxes" -> True,
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  6110. "NumberBezierSplinePoints" -> 10, "OctreeThreshold" ->
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  6137. "CADBacksubstitution" -> Automatic,
  6138. "CADCombineCells" -> True, "CADConstruction" ->
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  6144. "CADZeroTest" -> {0, Infinity},
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  6146. "FGLMBasisConversion" -> False, "FGLMElimination" ->
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  6153. "ProveMultiplicities" -> True, "QuadraticQE" ->
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  6164. "LegacyNewlineParsingInStrings" -> False,
  6165. "LinearAlgebraOptions" -> {"ArnoldiDensityRatio" -> 0.2,
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  6168. "AutomaticArnoldiEigenvaluesWarningRatio" -> 0.2,
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  6185. "NormalSystemRefinementMethod" -> 1,
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  6194. "MessageRecursionLimit" -> 1024, "MutationHandlers" ->
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  6198. "NeedNotReevaluateOptions" -> {"MaxDepth" -> Infinity,
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  6207. "OptimizationOptions" -> {"AddEquation" -> True,
  6208. "IntegerOptimumCandidates" -> 10}, "PackageFormat" ->
  6209. True, "PackedArrayOptions" ->
  6210. {"ListableAutoPackLength" -> 250,
  6211. "PackedArrayMathLinkRead" -> True, "UnpackMessage" ->
  6212. False}, "ParallelOptions" -> {"AbortPause" -> 2.,
  6213. "BusyWait" -> 0.01,
  6214. "MachineFunctionParallelThreshold0" -> 32768,
  6215. "MachineFunctionParallelThreshold1" -> 32768,
  6216. "MachineFunctionParallelThreshold2" -> 16384,
  6217. "MachineFunctionParallelThreshold3" -> 16384,
  6218. "MathLinkTimeout" -> 15., "MKLThreadNumber" -> 4,
  6219. "ParallelThreadNumber" -> 4, "RecoveryMode" ->
  6220. "Retry", "RelaunchFailedKernels" -> True},
  6221. "PauseSubsecond" -> True, "PCREOptions" ->
  6222. {"MatchLimit" -> 15000000, "MatchLimitRecursion" ->
  6223. 10000}, "PiecewiseOptions" -> {"BooleanResult" ->
  6224. Automatic, "ConditionSimplifier" -> Automatic,
  6225. "DirectExpansionCrossovers" -> {10, 7., False},
  6226. "EliminateConditions" -> True,
  6227. "ExpandSpecialPiecewise" -> True,
  6228. "FactorInequalities" -> True,
  6229. "FullStrengthInference" -> False,
  6230. "OrderlessConditions" -> Automatic, "Parallel" ->
  6231. Automatic, "RefineConditions" -> True,
  6232. "Simplification" -> True, "StrictCalculus" ->
  6233. Automatic, "ValueSimplifier" -> Automatic},
  6234. "PolynomialAlgebraOptions" -> {"ClassicPolynomialGCD" ->
  6235. True, "ConvolutionTimes" -> Automatic,
  6236. "DensePolynomialHeuristic" -> True,
  6237. "DivideAndConquerPower" -> Automatic,
  6238. "EnhancedPolynomialGCD" -> True,
  6239. "IteratedSquarePower" -> Automatic,
  6240. "PolynomialExpand" -> Automatic, "UseNewIntPolyGcd" ->
  6241. False}, "PostScriptBufferSize" -> 32768,
  6242. "PreemptiveCheckUseThreads" -> True,
  6243. "PreemptiveEvaluationFrequent" -> True,
  6244. "ProcessPriority" -> "Normal", "RawArrayOptions" ->
  6245. {"AccurateReal32" -> True, "ModularArithmetic" ->
  6246. True}, "ReduceOptions" -> {"ADDSolveBound" -> 8,
  6247. "AlgebraicNumberOutput" -> True, "BDDEliminate" ->
  6248. Automatic, "BooleanInstanceMethod" -> Automatic,
  6249. "BranchLinearDiophantine" -> False,
  6250. "CacheReduceResults" -> Automatic,
  6251. "DiscreteSolutionBound" -> Infinity,
  6252. "ExhaustiveSearchMaxPoints" -> {1000, 10000},
  6253. "FactorEquations" -> Automatic,
  6254. "FactorInequalities" -> False, "FinitePrecisionGB" ->
  6255. False, "ImplicitIntegerSolutions" -> Automatic,
  6256. "IntervalRootsOptions" -> {"AllowIncomplete" -> True,
  6257. "FailDepth" -> 20, "MaxDepth" -> 50,
  6258. "MaxFailures" -> 100, "MaxIncomplete" -> 1000,
  6259. "MaxSimplified" -> 1000, "MaxSteps" -> 100000,
  6260. "MinPrecision" -> 12}, "LatticeReduceDiophantine" ->
  6261. True, "LinearEliminationMaxDepth" -> Infinity,
  6262. "MaxFrobeniusGraph" -> 1000000, "MaxModularPoints" ->
  6263. 1000000, "MaxModularRoots" -> 1000000,
  6264. "MaxPrimeIndex" -> 1000000000,
  6265. "NIntegrateTimeConstraint" -> 60, "PresburgerQE" ->
  6266. Automatic, "QuickReduce" -> False,
  6267. "RandomInstances" -> Automatic, "RealRootsOptions" ->
  6268. {"MaxExtensionDegree" -> 5,
  6269. "MaxFactorSquareFreeDegree" -> 10000,
  6270. "MaxNestedRootsDegree" -> 100,
  6271. "SparsityThreshold" -> 0.02}, "ReorderVariables" ->
  6272. Automatic, "SieveMaxPoints" -> {10000, 1000000},
  6273. "SolveDiscreteSolutionBound" -> 1000000,
  6274. "SyntacticSolveAssumptions" -> False,
  6275. "TranscendentalRecursionLimit" -> 12,
  6276. "UseNestedRoots" -> Automatic, "UseOldReduce" ->
  6277. False, "UseTranscendentalRoots" -> Automatic,
  6278. "UseTranscendentalSolve" -> True}, "RegionOptions" ->
  6279. {"MeshBooleanMethod" -> "External",
  6280. "MeshConversionMessages" -> False,
  6281. "MeshCountThreshold" -> 1048576, "MeshDisplay" ->
  6282. True, "RegionSimplifyMaxLength" -> 10},
  6283. "ReportInterruptMessages" -> False,
  6284. "RestorePackageDependencies" -> True,
  6285. "SimplificationOptions" ->
  6286. {"AssumptionsMaxNonlinearVariables" -> 4,
  6287. "AssumptionsMaxVariables" -> 21,
  6288. "AutosimplifyTrigs" -> True,
  6289. "AutosimplifyTwoArgumentLog" -> True,
  6290. "FiniteSumMaxTerms" -> 30, "FunctionExpandMaxSteps" ->
  6291. 15, "ListableFirst" -> True, "RestartELProver" ->
  6292. False, "SimplifyMaxExponents" -> 100,
  6293. "SimplifyToPiecewise" -> True},
  6294. "SparseArrayOptions" -> {"DotDensityThreshold" -> 1.,
  6295. "DotDensityVectorThreshold" -> 0.25,
  6296. "DotLengthThreshold" -> 10, "GraphicsFactor" -> 0.075,
  6297. "IndexHashThreshold" -> 0.01,
  6298. "MaxUnsparsifyElements" -> Infinity,
  6299. "SortDensityThreshold" -> 0.1,
  6300. "SortLengthThreshold" -> 10, "TreatRepeatedEntries" ->
  6301. First}, "SpecialFunctionsOptions" ->
  6302. {"BernoulliBCrossoverIndex" -> 3000,
  6303. "BernoulliBOverFactorialRecursiveIndexThreshold" ->
  6304. 500, "BesselHalfIndexExpand" -> True,
  6305. "BinomialCrossover" -> 4000, "BinomialGenericZero" ->
  6306. True, "BinomialPolynomialEvaluationThreshold" -> 5,
  6307. "EulerECrossoverIndex" -> 60,
  6308. "GammaMethodCrossover" -> 800},
  6309. "StrictLexicalScoping" -> False,
  6310. "SymbolicProductThreshold" -> 1000000,
  6311. "SymbolicSumThreshold" -> 1000000, "TerminateOptions" ->
  6312. {"ExitOnTerminate" -> True, "TerminateForwardLink" ->
  6313. Null, "TerminateWatchForwardLink" -> Null},
  6314. "ThresholdByModulus" -> True, "TypesetOptions" ->
  6315. {"ColorDirectiveSwatches" -> True,
  6316. "IconicElidedForms" -> True,
  6317. "InterpretableElidedForms" -> False,
  6318. "ParenthesizeScriptBase" -> False},
  6319. "UnivariatePolynomialOptions" ->
  6320. {"PolynomialDivisorCrossoverDegree" -> -1,
  6321. "PolynomialHGCDCrossoverDegree" -> -1,
  6322. "PolynomialMatrixProductCrossoverDegree" -> -1,
  6323. "PolynomialPowerMatrixCrossoverDegree" -> -1,
  6324. "PolynomialProductCrossoverDegree" -> -1,
  6325. "PolynomialQuotientCrossoverDegree" -> -1,
  6326. "PowerMatrixPrimeThreshold" -> 50,
  6327. "UseCubicInPolynomialModularFactoring" -> True,
  6328. "UseQuarticInPolynomialModularFactoring" -> True},
  6329. "VectorInputOverride" -> False,
  6330. "VisualizationOptions" ->
  6331. {"AdaptiveArithmeticPredicates" -> True,
  6332. "ColorLines" -> False, "DomainProjection" -> True,
  6333. "EnableMeshObject" -> True,
  6334. "GeometricExactArithmetic" -> False,
  6335. "GeometricWeighting" -> True,
  6336. "GraphicsComplexPolygonCombine" -> False,
  6337. "GraphicsToComplex" -> False,
  6338. "MaxMemoryAlgebraicPlotting" -> 402653184,
  6339. "MaxRecursionPlotting" -> 15, "MeshObjectVerbose" ->
  6340. False, "MeshRegions2D" -> True, "MeshRegions3D" ->
  6341. True, "MeshRegionStorageDataStructure" -> True,
  6342. "NewExclusionsProcessing" -> False, "OriginalInput" ->
  6343. False, "PlotRangeMethod" -> 1,
  6344. "PolygonReduction2D" -> None, "PolygonReduction3D" ->
  6345. None, "SymbolicGraphics" -> True, "Verbose" -> False,
  6346. "VerboseDelay" -> 0., "VertexTexture" -> True,
  6347. "VertexTextureCoordinatesTranspose" -> False},
  6348. "WaitUntilEnable" -> True, "WaveletOptions" ->
  6349. {"AllowUserDefinedWavelets" -> True,
  6350. "DefaultContinuousWavelet" -> Automatic,
  6351. "DefaultDiscreteWavelet" -> Automatic,
  6352. "ParallelThreading" -> True, "Tolerance" -> 0.00001,
  6353. "WaveletThreadingThreshold" -> 10000},
  6354. "ZeroTestMaxPrecision" -> 5000.,
  6355. "ZeroTestNumericalPrecision" -> 80.}], HoldForm[
  6356. {"LatticeReduceArithmetic" -> InexactNumbers,
  6357. "LatticeReduceInnerProduct" -> Automatic,
  6358. "LatticeReduceLazySizeReduction" -> Automatic,
  6359. "LatticeReduceRatioParameter" -> Automatic}]},
  6360. HoldForm["LatticeReduceRatioParameter" /.
  6361. {"LatticeReduceArithmetic" -> InexactNumbers,
  6362. "LatticeReduceInnerProduct" -> Automatic,
  6363. "LatticeReduceLazySizeReduction" -> Automatic,
  6364. "LatticeReduceRatioParameter" -> Automatic}],
  6365. HoldForm[Automatic]}, HoldForm[
  6366. System`IntegerLinearDump`tmp$99355 = Automatic],
  6367. HoldForm[Automatic]}, {{{{HoldForm[
  6368. "LatticeReduceRatioParameter" -> 0.9999], HoldForm[
  6369. "LatticeReduceRatioParameter" -> 0.9999]}, HoldForm[
  6370. {"LatticeReduceRatioParameter" -> 0.9999}]}, HoldForm[
  6371. "LatticeReduceOptions" -> {"LatticeReduceRatioParameter" ->
  6372. 0.9999}], HoldForm["LatticeReduceOptions" ->
  6373. {"LatticeReduceRatioParameter" -> 0.9999}]},
  6374. HoldForm[SetSystemOptions["LatticeReduceOptions" ->
  6375. {"LatticeReduceRatioParameter" -> 0.9999}]],
  6376. HoldForm["LatticeReduceOptions" ->
  6377. {"LatticeReduceArithmetic" -> InexactNumbers,
  6378. "LatticeReduceInnerProduct" -> Automatic,
  6379. "LatticeReduceLazySizeReduction" -> Automatic,
  6380. "LatticeReduceRatioParameter" -> 0.9999}]}, HoldForm[
  6381. "LatticeReduceOptions" -> {"LatticeReduceArithmetic" ->
  6382. InexactNumbers, "LatticeReduceInnerProduct" -> Automatic,
  6383. "LatticeReduceLazySizeReduction" -> Automatic,
  6384. "LatticeReduceRatioParameter" -> 0.9999}]},
  6385. {HoldForm[LatticeReduce[{{147, 0, -6, 7}, {0, -3, 2, 0},
  6386. {0, -2, -1, 3}}]], HoldForm[{{0, -3, 2, 0}, {0, -2, -1, 3},
  6387. {147, -2, 0, 1}}]}, {{{{{HoldForm[
  6388. System`IntegerLinearDump`tmp$99355], HoldForm[
  6389. Automatic]}, HoldForm["LatticeReduceRatioParameter" ->
  6390. Automatic], HoldForm["LatticeReduceRatioParameter" ->
  6391. Automatic]}, HoldForm[{"LatticeReduceRatioParameter" ->
  6392. Automatic}]}, HoldForm["LatticeReduceOptions" ->
  6393. {"LatticeReduceRatioParameter" -> Automatic}],
  6394. HoldForm["LatticeReduceOptions" ->
  6395. {"LatticeReduceRatioParameter" -> Automatic}]}, HoldForm[
  6396. SetSystemOptions["LatticeReduceOptions" ->
  6397. {"LatticeReduceRatioParameter" -> Automatic}]], HoldForm[
  6398. "LatticeReduceOptions" -> {"LatticeReduceArithmetic" ->
  6399. InexactNumbers, "LatticeReduceInnerProduct" -> Automatic,
  6400. "LatticeReduceLazySizeReduction" -> Automatic,
  6401. "LatticeReduceRatioParameter" -> Automatic}]},
  6402. HoldForm[{{0, -3, 2, 0}, {0, -2, -1, 3}, {147, -2, 0, 1}}]},
  6403. HoldForm[{{0, -3, 2, 0}, {0, -2, -1, 3}, {147, -2, 0, 1}}]},
  6404. HoldForm[System`IntegerLinearDump`lat$99354 = {{0, -3, 2, 0}, {0,
  6405. -2, -1, 3}, {147, -2, 0, 1}}], HoldForm[{{0, -3, 2, 0}, {0, -2,
  6406. -1, 3}, {147, -2, 0, 1}}]},
  6407. {HoldForm[For[System`IntegerLinearDump`k$99354 = 1,
  6408. System`IntegerLinearDump`lat$99354[[
  6409. System`IntegerLinearDump`k$99354,1]] == 0,
  6410. System`IntegerLinearDump`k$99354++]],
  6411. {HoldForm[System`IntegerLinearDump`k$99354 = 1], HoldForm[1]},
  6412. {{{HoldForm[System`IntegerLinearDump`lat$99354], HoldForm[{{0,
  6413. -3, 2, 0}, {0, -2, -1, 3}, {147, -2, 0, 1}}]},
  6414. {HoldForm[System`IntegerLinearDump`k$99354], HoldForm[1]},
  6415. HoldForm[{{0, -3, 2, 0}, {0, -2, -1, 3}, {147, -2, 0, 1}}[[1,
  6416. 1]]], HoldForm[0]}, HoldForm[0 == 0], HoldForm[True]},
  6417. {HoldForm[System`IntegerLinearDump`k$99354++],
  6418. {HoldForm[System`IntegerLinearDump`k$99354], HoldForm[1]},
  6419. HoldForm[1]}, {{{HoldForm[System`IntegerLinearDump`lat$99354],
  6420. HoldForm[{{0, -3, 2, 0}, {0, -2, -1, 3}, {147, -2, 0, 1}}]},
  6421. {HoldForm[System`IntegerLinearDump`k$99354], HoldForm[2]},
  6422. HoldForm[{{0, -3, 2, 0}, {0, -2, -1, 3}, {147, -2, 0, 1}}[[2,
  6423. 1]]], HoldForm[0]}, HoldForm[0 == 0], HoldForm[True]},
  6424. {HoldForm[System`IntegerLinearDump`k$99354++],
  6425. {HoldForm[System`IntegerLinearDump`k$99354], HoldForm[2]},
  6426. HoldForm[2]}, {{{HoldForm[System`IntegerLinearDump`lat$99354],
  6427. HoldForm[{{0, -3, 2, 0}, {0, -2, -1, 3}, {147, -2, 0, 1}}]},
  6428. {HoldForm[System`IntegerLinearDump`k$99354], HoldForm[3]},
  6429. HoldForm[{{0, -3, 2, 0}, {0, -2, -1, 3}, {147, -2, 0, 1}}[[3,
  6430. 1]]], HoldForm[147]}, HoldForm[147 == 0], HoldForm[False]},
  6431. HoldForm[Null]}, {{{HoldForm[System`IntegerLinearDump`lat$99354],
  6432. HoldForm[{{0, -3, 2, 0}, {0, -2, -1, 3}, {147, -2, 0, 1}}]},
  6433. {HoldForm[System`IntegerLinearDump`k$99354], HoldForm[3]},
  6434. HoldForm[{{0, -3, 2, 0}, {0, -2, -1, 3}, {147, -2, 0, 1}}[[3]]],
  6435. HoldForm[{147, -2, 0, 1}]}, HoldForm[
  6436. System`IntegerLinearDump`soln$99354 = {147, -2, 0, 1}],
  6437. HoldForm[{147, -2, 0, 1}]},
  6438. {HoldForm[Which[System`IntegerLinearDump`soln$99354[[1]] ==
  6439. System`IntegerLinearDump`weight$99354,
  6440. Drop[System`IntegerLinearDump`soln$99354, 1],
  6441. System`IntegerLinearDump`soln$99354[[1]] ==
  6442. -System`IntegerLinearDump`weight$99354,
  6443. -Drop[System`IntegerLinearDump`soln$99354, 1], True,
  6444. {0, -6, 7}]], {{{HoldForm[System`IntegerLinearDump`soln$99354],
  6445. HoldForm[{147, -2, 0, 1}]}, HoldForm[{147, -2, 0, 1}[[1]]],
  6446. HoldForm[147]}, {HoldForm[
  6447. System`IntegerLinearDump`weight$99354], HoldForm[147]},
  6448. HoldForm[147 == 147], HoldForm[True]}, HoldForm[
  6449. Drop[System`IntegerLinearDump`soln$99354, 1]],
  6450. {HoldForm[System`IntegerLinearDump`soln$99354],
  6451. HoldForm[{147, -2, 0, 1}]}, HoldForm[Drop[{147, -2, 0, 1}, 1]],
  6452. HoldForm[{-2, 0, 1}]}, HoldForm[{-2, 0, 1}]},
  6453. HoldForm[{-2, 0, 1}]}, HoldForm[System`IntegerLinearDump`bp$99352 =
  6454. {-2, 0, 1}], HoldForm[{-2, 0, 1}]},
  6455. {{{{HoldForm[System`IntegerLinearDump`Ap$99352], HoldForm[{{-3, 2,
  6456. 0}, {-2, -1, 3}}]}, HoldForm[Reverse[{{-3, 2, 0}, {-2, -1,
  6457. 3}}]], HoldForm[{{-2, -1, 3}, {-3, 2, 0}}]},
  6458. HoldForm[Transpose[{{-2, -1, 3}, {-3, 2, 0}}]],
  6459. HoldForm[{{-2, -3}, {-1, 2}, {3, 0}}]},
  6460. HoldForm[System`IntegerLinearDump`Ar$99352 = {{-2, -3}, {-1, 2}, {3,
  6461. 0}}], HoldForm[{{-2, -3}, {-1, 2}, {3, 0}}]},
  6462. {{{HoldForm[System`IntegerLinearDump`Ap$99352], HoldForm[{{-3, 2, 0},
  6463. {-2, -1, 3}}]}, HoldForm[Transpose[{{-3, 2, 0}, {-2, -1, 3}}]],
  6464. HoldForm[{{-3, -2}, {2, -1}, {0, 3}}]},
  6465. HoldForm[System`IntegerLinearDump`Ap$99352 = {{-3, -2}, {2, -1}, {0,
  6466. 3}}], HoldForm[{{-3, -2}, {2, -1}, {0, 3}}]},
  6467. {{{{{HoldForm[System`IntegerLinearDump`tmp$99352],
  6468. HoldForm[{{1, 4, -6}, {0, 7, -9}}]}, HoldForm[
  6469. {{1, 4, -6}, {0, 7, -9}} . {{1, 0}, {4, 7}, {-6, -9}}],
  6470. HoldForm[{{53, 82}, {82, 130}}]}, HoldForm[Inverse[{{53, 82},
  6471. {82, 130}}]], HoldForm[{{65/83, -41/83}, {-41/83, 53/166}}]},
  6472. {{HoldForm[System`IntegerLinearDump`tmp$99352],
  6473. HoldForm[{{1, 4, -6}, {0, 7, -9}}]},
  6474. {HoldForm[System`IntegerLinearDump`Ap$99352], HoldForm[{{-3, -2},
  6475. {2, -1}, {0, 3}}]}, HoldForm[{{1, 4, -6}, {0, 7, -9}} . {{-3,
  6476. -2}, {2, -1}, {0, 3}}], HoldForm[{{5, -24}, {14, -34}}]},
  6477. HoldForm[{{65/83, -41/83}, {-41/83, 53/166}} . {{5, -24}, {14,
  6478. -34}}], HoldForm[{{-3, -2}, {2, 1}}]},
  6479. HoldForm[System`IntegerLinearDump`Rp$99352 = {{-3, -2}, {2, 1}}],
  6480. HoldForm[{{-3, -2}, {2, 1}}]},
  6481. {HoldForm[System`IntegerLinearDump`DPrint[
  6482. "ICIntLinReduce 2 {bp,Ar,Ap,Rp} ",
  6483. {System`IntegerLinearDump`bp$99352,
  6484. System`IntegerLinearDump`Ar$99352,
  6485. System`IntegerLinearDump`Ap$99352,
  6486. System`IntegerLinearDump`Rp$99352}]],
  6487. HoldForm[If[System`IntegerLinearDump`$ILPDebug,
  6488. Print["ICIntLinReduce 2 {bp,Ar,Ap,Rp} ",
  6489. {System`IntegerLinearDump`bp$99352,
  6490. System`IntegerLinearDump`Ar$99352,
  6491. System`IntegerLinearDump`Ap$99352,
  6492. System`IntegerLinearDump`Rp$99352}]]],
  6493. {HoldForm[System`IntegerLinearDump`$ILPDebug], HoldForm[False]},
  6494. HoldForm[If[False, Print["ICIntLinReduce 2 {bp,Ar,Ap,Rp} ",
  6495. {System`IntegerLinearDump`bp$99352,
  6496. System`IntegerLinearDump`Ar$99352,
  6497. System`IntegerLinearDump`Ap$99352,
  6498. System`IntegerLinearDump`Rp$99352}]]], HoldForm[Null]},
  6499. {{{HoldForm[System`IntegerLinearDump`Ar$99352], HoldForm[{{-2, -3},
  6500. {-1, 2}, {3, 0}}]}, {HoldForm[System`IntegerLinearDump`bp$99352],
  6501. HoldForm[{-2, 0, 1}]}, HoldForm[Reduce`PolyhedronIntegerPoints[
  6502. {{-2, -3}, {-1, 2}, {3, 0}}, {-2, 0, 1}]],
  6503. {HoldForm[Apply[GCD, {{-2, -3}, {-1, 2}, {3, 0}}, 1]],
  6504. HoldForm[{GCD[-2, -3], GCD[-1, 2], GCD[3, 0]}],
  6505. {HoldForm[GCD[-2, -3]], HoldForm[GCD[-3, -2]], HoldForm[1]},
  6506. {HoldForm[GCD[-1, 2]], HoldForm[1]}, {HoldForm[GCD[3, 0]],
  6507. HoldForm[GCD[0, 3]], HoldForm[3]}, HoldForm[{1, 1, 3}]},
  6508. {{HoldForm[0 -> 1], HoldForm[0 -> 1]}, HoldForm[
  6509. {1, 1, 3} /. 0 -> 1], HoldForm[{1, 1, 3}]},
  6510. {HoldForm[{{-2, -3}, {-1, 2}, {3, 0}}/{1, 1, 3}],
  6511. HoldForm[{{-2, -3}/1, {-1, 2}/1, {3, 0}/3}],
  6512. {HoldForm[{-2, -3}/1], HoldForm[{-2/1, -3/1}], {HoldForm[-2/1],
  6513. HoldForm[-2]}, {HoldForm[-3/1], HoldForm[-3]},
  6514. HoldForm[{-2, -3}]}, {HoldForm[{-1, 2}/1], HoldForm[{-1/1, 2/1}],
  6515. {HoldForm[-1/1], HoldForm[-1]}, {HoldForm[2/1], HoldForm[2]},
  6516. HoldForm[{-1, 2}]}, {HoldForm[{3, 0}/3], HoldForm[{3/3, 0/3}],
  6517. {HoldForm[3/3], HoldForm[1]}, {HoldForm[0/3], HoldForm[0]},
  6518. HoldForm[{1, 0}]}, HoldForm[{{-2, -3}, {-1, 2}, {1, 0}}]},
  6519. {{HoldForm[{-2, 0, 1}/{1, 1, 3}], HoldForm[{-2/1, 0/1, 1/3}],
  6520. {HoldForm[-2/1], HoldForm[-2]}, {HoldForm[0/1], HoldForm[0]},
  6521. {HoldForm[1/3], HoldForm[1/3]}, HoldForm[{-2, 0, 1/3}]},
  6522. HoldForm[Ceiling[{-2, 0, 1/3}]], HoldForm[{Ceiling[-2],
  6523. Ceiling[0], Ceiling[1/3]}], {HoldForm[Ceiling[-2]],
  6524. HoldForm[-2]}, {HoldForm[Ceiling[0]], HoldForm[0]},
  6525. {HoldForm[Ceiling[1/3]], HoldForm[1]}, HoldForm[{-2, 0, 1}]},
  6526. {HoldForm[Message[LinearProgramming::lpsnf]],
  6527. {HoldForm[$MessageList], HoldForm[{}]}, {HoldForm[General::stop],
  6528. HoldForm["Further output of `1` will be suppressed during this \
  6529. calculation."]}, {HoldForm[Internal`MessageButtonHandler[
  6530. "-- Message text not found --", Hold[LinearProgramming::lpsnf],
  6531. Hold[Message[LinearProgramming::lpsnf]]]],
  6532. {HoldForm[Head[$FrontEnd] === FrontEndObject && First[
  6533. $FrontEnd] === $ParentLink && TrueQ[
  6534. Internal`CachedSystemInformation["FrontEnd",
  6535. "VersionNumber"] > 5] && System`Dump`TypesetMessagesQ[]],
  6536. {{{HoldForm[$FrontEnd], HoldForm[FrontEndObject[LinkObject[
  6537. "7z3q4_shm", 3, 1]]]}, HoldForm[Head[FrontEndObject[
  6538. LinkObject["7z3q4_shm", 3, 1]]]], HoldForm[
  6539. FrontEndObject]}, HoldForm[FrontEndObject ===
  6540. FrontEndObject], HoldForm[True]}, {{{HoldForm[$FrontEnd],
  6541. HoldForm[FrontEndObject[LinkObject["7z3q4_shm", 3, 1]]]},
  6542. HoldForm[First[FrontEndObject[LinkObject["7z3q4_shm", 3,
  6543. 1]]]], HoldForm[LinkObject["7z3q4_shm", 3, 1]]},
  6544. {HoldForm[$ParentLink], HoldForm[LinkObject["7z3q4_shm", 3,
  6545. 1]]}, HoldForm[LinkObject["7z3q4_shm", 3, 1] ===
  6546. LinkObject["7z3q4_shm", 3, 1]], HoldForm[True]},
  6547. {{{HoldForm[Internal`CachedSystemInformation["FrontEnd",
  6548. "VersionNumber"]], HoldForm[10.4]}, HoldForm[10.4 > 5],
  6549. HoldForm[True]}, HoldForm[TrueQ[True]], HoldForm[True]},
  6550. {HoldForm[System`Dump`TypesetMessagesQ[]], HoldForm[If[
  6551. !ValueQ[$Messages] || $Messages === {}, False,
  6552. {} =!= Intersection[$BoxForms, FormatType /. List /@
  6553. Options[Intersection[$Messages, Join[Streams[],
  6554. {"stdout", "stderr"}]], FormatType]]]],
  6555. {HoldForm[ !ValueQ[$Messages] || $Messages === {}], {
  6556. {HoldForm[ValueQ[$Messages]], HoldForm[With[{System`Dump`h$ =
  6557. HoldComplete[$Messages]}, (System`Dump`h$ /. Replace[
  6558. OwnValues[$Messages], $Failed -> {System`Dump`h$ ->
  6559. Null}]) =!= System`Dump`h$]],
  6560. {{{{HoldForm[OwnValues[$Messages]], HoldForm[{}]},
  6561. {{{HoldForm[HoldComplete[$Messages] -> Null], HoldForm[
  6562. HoldComplete[$Messages] -> Null]}, HoldForm[
  6563. {HoldComplete[$Messages] -> Null}]}, HoldForm[
  6564. $Failed -> {HoldComplete[$Messages] -> Null}],
  6565. HoldForm[$Failed -> {HoldComplete[$Messages] -> Null}]},
  6566. HoldForm[Replace[{}, $Failed -> {HoldComplete[
  6567. $Messages] -> Null}]], HoldForm[{}]}, HoldForm[
  6568. HoldComplete[$Messages] /. {}], HoldForm[HoldComplete[
  6569. $Messages]]}, HoldForm[HoldComplete[$Messages] =!=
  6570. HoldComplete[$Messages]], HoldForm[False]}, HoldForm[
  6571. False]}, HoldForm[ !False], HoldForm[True]}, HoldForm[
  6572. True]}, HoldForm[If[True, False, {} =!= Intersection[
  6573. $BoxForms, FormatType /. List /@ Options[Intersection[
  6574. $Messages, Join[Streams[], {"stdout", "stderr"}]],
  6575. FormatType]]]], HoldForm[False]}, HoldForm[False]},
  6576. {HoldForm[TrueQ[System`Dump`$MessagesInHelpBrowserAreKnown] &&
  6577. Head[$FrontEnd] === FrontEndObject && First[$FrontEnd] ===
  6578. $ParentLink && System`Dump`TypesetMessagesQ[]],
  6579. {{HoldForm[System`Dump`$MessagesInHelpBrowserAreKnown], HoldForm[
  6580. True]}, HoldForm[TrueQ[True]], HoldForm[True]},
  6581. {{{HoldForm[$FrontEnd], HoldForm[FrontEndObject[LinkObject[
  6582. "7z3q4_shm", 3, 1]]]}, HoldForm[Head[FrontEndObject[
  6583. LinkObject["7z3q4_shm", 3, 1]]]], HoldForm[
  6584. FrontEndObject]}, HoldForm[FrontEndObject ===
  6585. FrontEndObject], HoldForm[True]}, {{{HoldForm[$FrontEnd],
  6586. HoldForm[FrontEndObject[LinkObject["7z3q4_shm", 3, 1]]]},
  6587. HoldForm[First[FrontEndObject[LinkObject["7z3q4_shm", 3,
  6588. 1]]]], HoldForm[LinkObject["7z3q4_shm", 3, 1]]},
  6589. {HoldForm[$ParentLink], HoldForm[LinkObject["7z3q4_shm", 3,
  6590. 1]]}, HoldForm[LinkObject["7z3q4_shm", 3, 1] ===
  6591. LinkObject["7z3q4_shm", 3, 1]], HoldForm[True]},
  6592. {HoldForm[System`Dump`TypesetMessagesQ[]], HoldForm[If[
  6593. !ValueQ[$Messages] || $Messages === {}, False,
  6594. {} =!= Intersection[$BoxForms, FormatType /. List /@
  6595. Options[Intersection[$Messages, Join[Streams[],
  6596. {"stdout", "stderr"}]], FormatType]]]],
  6597. {HoldForm[ !ValueQ[$Messages] || $Messages === {}], {
  6598. {HoldForm[ValueQ[$Messages]], HoldForm[With[{System`Dump`h$ =
  6599. HoldComplete[$Messages]}, (System`Dump`h$ /. Replace[
  6600. OwnValues[$Messages], $Failed -> {System`Dump`h$ ->
  6601. Null}]) =!= System`Dump`h$]],
  6602. {{{{HoldForm[OwnValues[$Messages]], HoldForm[{}]},
  6603. {{{HoldForm[HoldComplete[$Messages] -> Null], HoldForm[
  6604. HoldComplete[$Messages] -> Null]}, HoldForm[
  6605. {HoldComplete[$Messages] -> Null}]}, HoldForm[
  6606. $Failed -> {HoldComplete[$Messages] -> Null}],
  6607. HoldForm[$Failed -> {HoldComplete[$Messages] -> Null}]},
  6608. HoldForm[Replace[{}, $Failed -> {HoldComplete[
  6609. $Messages] -> Null}]], HoldForm[{}]}, HoldForm[
  6610. HoldComplete[$Messages] /. {}], HoldForm[HoldComplete[
  6611. $Messages]]}, HoldForm[HoldComplete[$Messages] =!=
  6612. HoldComplete[$Messages]], HoldForm[False]}, HoldForm[
  6613. False]}, HoldForm[ !False], HoldForm[True]}, HoldForm[
  6614. True]}, HoldForm[If[True, False, {} =!= Intersection[
  6615. $BoxForms, FormatType /. List /@ Options[Intersection[
  6616. $Messages, Join[Streams[], {"stdout", "stderr"}]],
  6617. FormatType]]]], HoldForm[False]}, HoldForm[False]},
  6618. HoldForm[$Failed]}, HoldForm[Null]}, HoldForm[{}]},
  6619. HoldForm[System`IntegerLinearDump`ans$99352 = {}], HoldForm[{}]},
  6620. {{{{HoldForm[System`IntegerLinearDump`ans$99352], HoldForm[{}]},
  6621. HoldForm[ListQ[{}]], HoldForm[True]}, HoldForm[ !True],
  6622. HoldForm[False]}, HoldForm[If[False,
  6623. Return[System`IntegerLinearDump`ans$99352]]], HoldForm[Null]},
  6624. {{{HoldForm[System`IntegerLinearDump`ans$99352], HoldForm[{}]},
  6625. HoldForm[{} === {}], HoldForm[True]},
  6626. HoldForm[If[True, Return[System`IntegerLinearDump`ans$99352]]],
  6627. HoldForm[Return[System`IntegerLinearDump`ans$99352]],
  6628. {HoldForm[System`IntegerLinearDump`ans$99352], HoldForm[{}]},
  6629. HoldForm[Return[{}]]}, HoldForm[Return[{}]]}, HoldForm[Return[{}]],
  6630. HoldForm[{}]}, HoldForm[System`FrobeniusDump`tmp$99350 = {}],
  6631. HoldForm[{}]}, {{{HoldForm[System`FrobeniusDump`op$99350],
  6632. HoldForm[{"ADDSolveBound" -> 8, "AlgebraicNumberOutput" -> True,
  6633. "BDDEliminate" -> Automatic, "BooleanInstanceMethod" -> Automatic,
  6634. "BranchLinearDiophantine" -> False, "CacheReduceResults" ->
  6635. Automatic, "DiscreteSolutionBound" -> 10,
  6636. "ExhaustiveSearchMaxPoints" -> {1000, 10000}, "FactorEquations" ->
  6637. Automatic, "FactorInequalities" -> False, "FinitePrecisionGB" ->
  6638. False, "ImplicitIntegerSolutions" -> Automatic,
  6639. "IntervalRootsOptions" -> {"AllowIncomplete" -> True,
  6640. "FailDepth" -> 20, "MaxDepth" -> 50, "MaxFailures" -> 100,
  6641. "MaxIncomplete" -> 1000, "MaxSimplified" -> 1000,
  6642. "MaxSteps" -> 100000, "MinPrecision" -> 12},
  6643. "LatticeReduceDiophantine" -> True, "LinearEliminationMaxDepth" ->
  6644. Infinity, "MaxFrobeniusGraph" -> 1000000, "MaxModularPoints" ->
  6645. 1000000, "MaxModularRoots" -> 1000000, "MaxPrimeIndex" ->
  6646. 1000000000, "NIntegrateTimeConstraint" -> 60, "PresburgerQE" ->
  6647. Automatic, "QuickReduce" -> False, "RandomInstances" -> Automatic,
  6648. "RealRootsOptions" -> {"MaxExtensionDegree" -> 5,
  6649. "MaxFactorSquareFreeDegree" -> 10000, "MaxNestedRootsDegree" ->
  6650. 100, "SparsityThreshold" -> 0.02}, "ReorderVariables" ->
  6651. Automatic, "SieveMaxPoints" -> {10000, 1000000},
  6652. "SolveDiscreteSolutionBound" -> 1000000,
  6653. "SyntacticSolveAssumptions" -> False,
  6654. "TranscendentalRecursionLimit" -> 12, "UseNestedRoots" ->
  6655. Automatic, "UseOldReduce" -> False, "UseTranscendentalRoots" ->
  6656. Automatic, "UseTranscendentalSolve" -> True}]},
  6657. HoldForm["ReduceOptions" -> {"ADDSolveBound" -> 8,
  6658. "AlgebraicNumberOutput" -> True, "BDDEliminate" -> Automatic,
  6659. "BooleanInstanceMethod" -> Automatic, "BranchLinearDiophantine" ->
  6660. False, "CacheReduceResults" -> Automatic,
  6661. "DiscreteSolutionBound" -> 10, "ExhaustiveSearchMaxPoints" ->
  6662. {1000, 10000}, "FactorEquations" -> Automatic,
  6663. "FactorInequalities" -> False, "FinitePrecisionGB" -> False,
  6664. "ImplicitIntegerSolutions" -> Automatic, "IntervalRootsOptions" ->
  6665. {"AllowIncomplete" -> True, "FailDepth" -> 20, "MaxDepth" -> 50,
  6666. "MaxFailures" -> 100, "MaxIncomplete" -> 1000, "MaxSimplified" ->
  6667. 1000, "MaxSteps" -> 100000, "MinPrecision" -> 12},
  6668. "LatticeReduceDiophantine" -> True, "LinearEliminationMaxDepth" ->
  6669. Infinity, "MaxFrobeniusGraph" -> 1000000, "MaxModularPoints" ->
  6670. 1000000, "MaxModularRoots" -> 1000000, "MaxPrimeIndex" ->
  6671. 1000000000, "NIntegrateTimeConstraint" -> 60, "PresburgerQE" ->
  6672. Automatic, "QuickReduce" -> False, "RandomInstances" -> Automatic,
  6673. "RealRootsOptions" -> {"MaxExtensionDegree" -> 5,
  6674. "MaxFactorSquareFreeDegree" -> 10000, "MaxNestedRootsDegree" ->
  6675. 100, "SparsityThreshold" -> 0.02}, "ReorderVariables" ->
  6676. Automatic, "SieveMaxPoints" -> {10000, 1000000},
  6677. "SolveDiscreteSolutionBound" -> 1000000,
  6678. "SyntacticSolveAssumptions" -> False,
  6679. "TranscendentalRecursionLimit" -> 12, "UseNestedRoots" ->
  6680. Automatic, "UseOldReduce" -> False, "UseTranscendentalRoots" ->
  6681. Automatic, "UseTranscendentalSolve" -> True}],
  6682. HoldForm["ReduceOptions" -> {"ADDSolveBound" -> 8,
  6683. "AlgebraicNumberOutput" -> True, "BDDEliminate" -> Automatic,
  6684. "BooleanInstanceMethod" -> Automatic, "BranchLinearDiophantine" ->
  6685. False, "CacheReduceResults" -> Automatic,
  6686. "DiscreteSolutionBound" -> 10, "ExhaustiveSearchMaxPoints" ->
  6687. {1000, 10000}, "FactorEquations" -> Automatic,
  6688. "FactorInequalities" -> False, "FinitePrecisionGB" -> False,
  6689. "ImplicitIntegerSolutions" -> Automatic, "IntervalRootsOptions" ->
  6690. {"AllowIncomplete" -> True, "FailDepth" -> 20, "MaxDepth" -> 50,
  6691. "MaxFailures" -> 100, "MaxIncomplete" -> 1000, "MaxSimplified" ->
  6692. 1000, "MaxSteps" -> 100000, "MinPrecision" -> 12},
  6693. "LatticeReduceDiophantine" -> True, "LinearEliminationMaxDepth" ->
  6694. Infinity, "MaxFrobeniusGraph" -> 1000000, "MaxModularPoints" ->
  6695. 1000000, "MaxModularRoots" -> 1000000, "MaxPrimeIndex" ->
  6696. 1000000000, "NIntegrateTimeConstraint" -> 60, "PresburgerQE" ->
  6697. Automatic, "QuickReduce" -> False, "RandomInstances" -> Automatic,
  6698. "RealRootsOptions" -> {"MaxExtensionDegree" -> 5,
  6699. "MaxFactorSquareFreeDegree" -> 10000, "MaxNestedRootsDegree" ->
  6700. 100, "SparsityThreshold" -> 0.02}, "ReorderVariables" ->
  6701. Automatic, "SieveMaxPoints" -> {10000, 1000000},
  6702. "SolveDiscreteSolutionBound" -> 1000000,
  6703. "SyntacticSolveAssumptions" -> False,
  6704. "TranscendentalRecursionLimit" -> 12, "UseNestedRoots" ->
  6705. Automatic, "UseOldReduce" -> False, "UseTranscendentalRoots" ->
  6706. Automatic, "UseTranscendentalSolve" -> True}]},
  6707. HoldForm[SetSystemOptions["ReduceOptions" -> {"ADDSolveBound" -> 8,
  6708. "AlgebraicNumberOutput" -> True, "BDDEliminate" -> Automatic,
  6709. "BooleanInstanceMethod" -> Automatic, "BranchLinearDiophantine" ->
  6710. False, "CacheReduceResults" -> Automatic,
  6711. "DiscreteSolutionBound" -> 10, "ExhaustiveSearchMaxPoints" ->
  6712. {1000, 10000}, "FactorEquations" -> Automatic,
  6713. "FactorInequalities" -> False, "FinitePrecisionGB" -> False,
  6714. "ImplicitIntegerSolutions" -> Automatic, "IntervalRootsOptions" ->
  6715. {"AllowIncomplete" -> True, "FailDepth" -> 20, "MaxDepth" -> 50,
  6716. "MaxFailures" -> 100, "MaxIncomplete" -> 1000, "MaxSimplified" ->
  6717. 1000, "MaxSteps" -> 100000, "MinPrecision" -> 12},
  6718. "LatticeReduceDiophantine" -> True, "LinearEliminationMaxDepth" ->
  6719. Infinity, "MaxFrobeniusGraph" -> 1000000, "MaxModularPoints" ->
  6720. 1000000, "MaxModularRoots" -> 1000000, "MaxPrimeIndex" ->
  6721. 1000000000, "NIntegrateTimeConstraint" -> 60, "PresburgerQE" ->
  6722. Automatic, "QuickReduce" -> False, "RandomInstances" -> Automatic,
  6723. "RealRootsOptions" -> {"MaxExtensionDegree" -> 5,
  6724. "MaxFactorSquareFreeDegree" -> 10000, "MaxNestedRootsDegree" ->
  6725. 100, "SparsityThreshold" -> 0.02}, "ReorderVariables" ->
  6726. Automatic, "SieveMaxPoints" -> {10000, 1000000},
  6727. "SolveDiscreteSolutionBound" -> 1000000,
  6728. "SyntacticSolveAssumptions" -> False,
  6729. "TranscendentalRecursionLimit" -> 12, "UseNestedRoots" ->
  6730. Automatic, "UseOldReduce" -> False, "UseTranscendentalRoots" ->
  6731. Automatic, "UseTranscendentalSolve" -> True}]],
  6732. {HoldForm[Prime[1000000000]], HoldForm[22801763489]},
  6733. {{HoldForm[N[60]], HoldForm[60.]}, HoldForm[Floor[60.]], HoldForm[60]},
  6734. {{{{HoldForm[N[60]], HoldForm[60.]}, HoldForm[Mod[60., 1]],
  6735. HoldForm[0.]}, HoldForm[1000000*0.], HoldForm[0.]},
  6736. HoldForm[Ceiling[0.]], HoldForm[0]},
  6737. HoldForm["ReduceOptions" -> {"ADDSolveBound" -> 8,
  6738. "AlgebraicNumberOutput" -> True, "BDDEliminate" -> Automatic,
  6739. "BooleanInstanceMethod" -> Automatic, "BranchLinearDiophantine" ->
  6740. False, "CacheReduceResults" -> Automatic,
  6741. "DiscreteSolutionBound" -> 10, "ExhaustiveSearchMaxPoints" ->
  6742. {1000, 10000}, "FactorEquations" -> Automatic,
  6743. "FactorInequalities" -> False, "FinitePrecisionGB" -> False,
  6744. "ImplicitIntegerSolutions" -> Automatic, "IntervalRootsOptions" ->
  6745. {"AllowIncomplete" -> True, "FailDepth" -> 20, "MaxDepth" -> 50,
  6746. "MaxFailures" -> 100, "MaxIncomplete" -> 1000, "MaxSimplified" ->
  6747. 1000, "MaxSteps" -> 100000, "MinPrecision" -> 12},
  6748. "LatticeReduceDiophantine" -> True, "LinearEliminationMaxDepth" ->
  6749. Infinity, "MaxFrobeniusGraph" -> 1000000, "MaxModularPoints" ->
  6750. 1000000, "MaxModularRoots" -> 1000000, "MaxPrimeIndex" ->
  6751. 1000000000, "NIntegrateTimeConstraint" -> 60,
  6752. "PresburgerQE" -> Automatic, "QuickReduce" -> False,
  6753. "RandomInstances" -> Automatic, "RealRootsOptions" ->
  6754. {"MaxExtensionDegree" -> 5, "MaxFactorSquareFreeDegree" -> 10000,
  6755. "MaxNestedRootsDegree" -> 100, "SparsityThreshold" -> 0.02},
  6756. "ReorderVariables" -> Automatic, "SieveMaxPoints" ->
  6757. {10000, 1000000}, "SolveDiscreteSolutionBound" -> 1000000,
  6758. "SyntacticSolveAssumptions" -> False,
  6759. "TranscendentalRecursionLimit" -> 12, "UseNestedRoots" -> Automatic,
  6760. "UseOldReduce" -> False, "UseTranscendentalRoots" -> Automatic,
  6761. "UseTranscendentalSolve" -> True}]}, HoldForm[{}]},
  6762. {{{HoldForm[System`FrobeniusDump`tmp$99350], HoldForm[{}]},
  6763. HoldForm[{} === $Failed], HoldForm[False]},
  6764. HoldForm[If[False, Return[$Failed]]], HoldForm[Null]},
  6765. {{{HoldForm[System`FrobeniusDump`tmp$99350], HoldForm[{}]},
  6766. HoldForm[(System`FrobeniusDump`sol$99350 +
  6767. #1 . System`FrobeniusDump`nulls$99350 & ) /@ {}], HoldForm[{}]},
  6768. HoldForm[Sort[{}]], HoldForm[{}]}, HoldForm[{}]}, HoldForm[{}]},
  6769. {HoldForm[$MessageList], HoldForm[{HoldForm[LinearProgramming::lpsnf]}]},
  6770. HoldForm[{}]}, HoldForm[{}]}
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