Initial population.

1 files changed, 855 insertions, 0 deletions

diff --git a/src/hyper/pages/CYCLES.pht b/src/hyper/pages/CYCLES.pht
new file mode 100644
index 00000000..65fc1f3a
--- /dev/null
+++ b/src/hyper/pages/CYCLES.pht
@@ -0,0 +1,855 @@
+\begin{patch}{CycleIndicatorsXmpPagePatch1}
+\begin{paste}{CycleIndicatorsXmpPageFull1}{CycleIndicatorsXmpPageEmpty1}
+\pastebutton{CycleIndicatorsXmpPageFull1}{\hidepaste}
+\tab{5}\spadcommand{)expose EVALCYC}
+\indentrel{3}\begin{verbatim}
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty1}
+\begin{paste}{CycleIndicatorsXmpPageEmpty1}{CycleIndicatorsXmpPagePatch1}
+\pastebutton{CycleIndicatorsXmpPageEmpty1}{\showpaste}
+\tab{5}\spadcommand{)expose EVALCYC}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch2}
+\begin{paste}{CycleIndicatorsXmpPageFull2}{CycleIndicatorsXmpPageEmpty2}
+\pastebutton{CycleIndicatorsXmpPageFull2}{\hidepaste}
+\tab{5}\spadcommand{complete 1}
+\indentrel{3}\begin{verbatim}
+   (1)  (1)
+             Type: SymmetricPolynomial Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty2}
+\begin{paste}{CycleIndicatorsXmpPageEmpty2}{CycleIndicatorsXmpPagePatch2}
+\pastebutton{CycleIndicatorsXmpPageEmpty2}{\showpaste}
+\tab{5}\spadcommand{complete 1}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch3}
+\begin{paste}{CycleIndicatorsXmpPageFull3}{CycleIndicatorsXmpPageEmpty3}
+\pastebutton{CycleIndicatorsXmpPageFull3}{\hidepaste}
+\tab{5}\spadcommand{complete 2}
+\indentrel{3}\begin{verbatim}
+        1       1   2
+   (2)  Ä (2) + Ä (1 )
+        2       2
+             Type: SymmetricPolynomial Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty3}
+\begin{paste}{CycleIndicatorsXmpPageEmpty3}{CycleIndicatorsXmpPagePatch3}
+\pastebutton{CycleIndicatorsXmpPageEmpty3}{\showpaste}
+\tab{5}\spadcommand{complete 2}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch4}
+\begin{paste}{CycleIndicatorsXmpPageFull4}{CycleIndicatorsXmpPageEmpty4}
+\pastebutton{CycleIndicatorsXmpPageFull4}{\hidepaste}
+\tab{5}\spadcommand{complete 3}
+\indentrel{3}\begin{verbatim}
+        1       1         1   3
+   (3)  Ä (3) + Ä (2 1) + Ä (1 )
+        3       2         6
+             Type: SymmetricPolynomial Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty4}
+\begin{paste}{CycleIndicatorsXmpPageEmpty4}{CycleIndicatorsXmpPagePatch4}
+\pastebutton{CycleIndicatorsXmpPageEmpty4}{\showpaste}
+\tab{5}\spadcommand{complete 3}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch5}
+\begin{paste}{CycleIndicatorsXmpPageFull5}{CycleIndicatorsXmpPageEmpty5}
+\pastebutton{CycleIndicatorsXmpPageFull5}{\hidepaste}
+\tab{5}\spadcommand{complete 7}
+\indentrel{3}\begin{verbatim}
+   (4)
+     1       1          1          1     2     1
+     Ä (7) + Ä (6 1) + ÄÄ (5 2) + ÄÄ (5 1 ) + ÄÄ (4 3)
+     7       6         10         10          12
+   + 
+     1            1     3     1   2      1     2
+     Ä (4 2 1) + ÄÄ (4 1 ) + ÄÄ (3 1) + ÄÄ (3 2 )
+     8           24          18         24
+   + 
+      1       2     1     4     1   3      1   2 3
+     ÄÄ (3 2 1 ) + ÄÄ (3 1 ) + ÄÄ (2 1) + ÄÄ (2 1 )
+     12            72          48         48
+   + 
+      1      5      1    7
+     ÄÄÄ (2 1 ) + ÄÄÄÄ (1 )
+     240          5040
+             Type: SymmetricPolynomial Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty5}
+\begin{paste}{CycleIndicatorsXmpPageEmpty5}{CycleIndicatorsXmpPagePatch5}
+\pastebutton{CycleIndicatorsXmpPageEmpty5}{\showpaste}
+\tab{5}\spadcommand{complete 7}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch6}
+\begin{paste}{CycleIndicatorsXmpPageFull6}{CycleIndicatorsXmpPageEmpty6}
+\pastebutton{CycleIndicatorsXmpPageFull6}{\hidepaste}
+\tab{5}\spadcommand{elementary 7}
+\indentrel{3}\begin{verbatim}
+   (5)
+     1       1          1          1     2     1
+     Ä (7) - Ä (6 1) - ÄÄ (5 2) + ÄÄ (5 1 ) - ÄÄ (4 3)
+     7       6         10         10          12
+   + 
+     1            1     3     1   2      1     2
+     Ä (4 2 1) - ÄÄ (4 1 ) + ÄÄ (3 1) + ÄÄ (3 2 )
+     8           24          18         24
+   + 
+        1       2     1     4     1   3      1   2 3
+     - ÄÄ (3 2 1 ) + ÄÄ (3 1 ) - ÄÄ (2 1) + ÄÄ (2 1 )
+       12            72          48         48
+   + 
+        1      5      1    7
+     - ÄÄÄ (2 1 ) + ÄÄÄÄ (1 )
+       240          5040
+             Type: SymmetricPolynomial Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty6}
+\begin{paste}{CycleIndicatorsXmpPageEmpty6}{CycleIndicatorsXmpPagePatch6}
+\pastebutton{CycleIndicatorsXmpPageEmpty6}{\showpaste}
+\tab{5}\spadcommand{elementary 7}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch7}
+\begin{paste}{CycleIndicatorsXmpPageFull7}{CycleIndicatorsXmpPageEmpty7}
+\pastebutton{CycleIndicatorsXmpPageFull7}{\hidepaste}
+\tab{5}\spadcommand{alternating 7}
+\indentrel{3}\begin{verbatim}
+   (6)
+     2       1     2    1           1   2      1     2
+     Ä (7) + Ä (5 1 ) + Ä (4 2 1) + Ä (3 1) + ÄÄ (3 2 )
+     7       5          4           9         12
+   + 
+      1     4     1   2 3      1    7
+     ÄÄ (3 1 ) + ÄÄ (2 1 ) + ÄÄÄÄ (1 )
+     36          24          2520
+             Type: SymmetricPolynomial Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty7}
+\begin{paste}{CycleIndicatorsXmpPageEmpty7}{CycleIndicatorsXmpPagePatch7}
+\pastebutton{CycleIndicatorsXmpPageEmpty7}{\showpaste}
+\tab{5}\spadcommand{alternating 7}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch8}
+\begin{paste}{CycleIndicatorsXmpPageFull8}{CycleIndicatorsXmpPageEmpty8}
+\pastebutton{CycleIndicatorsXmpPageFull8}{\hidepaste}
+\tab{5}\spadcommand{cyclic 7}
+\indentrel{3}\begin{verbatim}
+        6       1   7
+   (7)  Ä (7) + Ä (1 )
+        7       7
+             Type: SymmetricPolynomial Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty8}
+\begin{paste}{CycleIndicatorsXmpPageEmpty8}{CycleIndicatorsXmpPagePatch8}
+\pastebutton{CycleIndicatorsXmpPageEmpty8}{\showpaste}
+\tab{5}\spadcommand{cyclic 7}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch9}
+\begin{paste}{CycleIndicatorsXmpPageFull9}{CycleIndicatorsXmpPageEmpty9}
+\pastebutton{CycleIndicatorsXmpPageFull9}{\hidepaste}
+\tab{5}\spadcommand{dihedral 7}
+\indentrel{3}\begin{verbatim}
+        3       1   3      1   7
+   (8)  Ä (7) + Ä (2 1) + ÄÄ (1 )
+        7       2         14
+             Type: SymmetricPolynomial Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty9}
+\begin{paste}{CycleIndicatorsXmpPageEmpty9}{CycleIndicatorsXmpPagePatch9}
+\pastebutton{CycleIndicatorsXmpPageEmpty9}{\showpaste}
+\tab{5}\spadcommand{dihedral 7}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch10}
+\begin{paste}{CycleIndicatorsXmpPageFull10}{CycleIndicatorsXmpPageEmpty10}
+\pastebutton{CycleIndicatorsXmpPageFull10}{\hidepaste}
+\tab{5}\spadcommand{graphs 5}
+\indentrel{3}\begin{verbatim}
+   (9)
+     1           1   2    1   2     1   3     1   4 2
+     Ä (6 3 1) + Ä (5 ) + Ä (4 2) + Ä (3 1) + Ä (2 1 )
+     6           5        4         6         8
+   + 
+      1   3 4     1    10
+     ÄÄ (2 1 ) + ÄÄÄ (1  )
+     12          120
+             Type: SymmetricPolynomial Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty10}
+\begin{paste}{CycleIndicatorsXmpPageEmpty10}{CycleIndicatorsXmpPagePatch10}
+\pastebutton{CycleIndicatorsXmpPageEmpty10}{\showpaste}
+\tab{5}\spadcommand{graphs 5}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch11}
+\begin{paste}{CycleIndicatorsXmpPageFull11}{CycleIndicatorsXmpPageEmpty11}
+\pastebutton{CycleIndicatorsXmpPageFull11}{\hidepaste}
+\tab{5}\spadcommand{cap(complete 2**2, complete 2*complete 1**2)}
+\indentrel{3}\begin{verbatim}
+   (10)  4
+                                 Type: Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty11}
+\begin{paste}{CycleIndicatorsXmpPageEmpty11}{CycleIndicatorsXmpPagePatch11}
+\pastebutton{CycleIndicatorsXmpPageEmpty11}{\showpaste}
+\tab{5}\spadcommand{cap(complete 2**2, complete 2*complete 1**2)}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch12}
+\begin{paste}{CycleIndicatorsXmpPageFull12}{CycleIndicatorsXmpPageEmpty12}
+\pastebutton{CycleIndicatorsXmpPageFull12}{\hidepaste}
+\tab{5}\spadcommand{cap(elementary 2**2, complete 2*complete 1**2)}
+\indentrel{3}\begin{verbatim}
+   (11)  2
+                                 Type: Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty12}
+\begin{paste}{CycleIndicatorsXmpPageEmpty12}{CycleIndicatorsXmpPagePatch12}
+\pastebutton{CycleIndicatorsXmpPageEmpty12}{\showpaste}
+\tab{5}\spadcommand{cap(elementary 2**2, complete 2*complete 1**2)}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch13}
+\begin{paste}{CycleIndicatorsXmpPageFull13}{CycleIndicatorsXmpPageEmpty13}
+\pastebutton{CycleIndicatorsXmpPageFull13}{\hidepaste}
+\tab{5}\spadcommand{cap(complete 3*complete 2*complete 1,complete 2**2*complete 1**2)}
+\indentrel{3}\begin{verbatim}
+   (12)  24
+                                 Type: Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty13}
+\begin{paste}{CycleIndicatorsXmpPageEmpty13}{CycleIndicatorsXmpPagePatch13}
+\pastebutton{CycleIndicatorsXmpPageEmpty13}{\showpaste}
+\tab{5}\spadcommand{cap(complete 3*complete 2*complete 1,complete 2**2*complete 1**2)}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch14}
+\begin{paste}{CycleIndicatorsXmpPageFull14}{CycleIndicatorsXmpPageEmpty14}
+\pastebutton{CycleIndicatorsXmpPageFull14}{\hidepaste}
+\tab{5}\spadcommand{cap(elementary 3*elementary 2*elementary 1,complete 2**2*complete 1**2)}
+\indentrel{3}\begin{verbatim}
+   (13)  8
+                                 Type: Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty14}
+\begin{paste}{CycleIndicatorsXmpPageEmpty14}{CycleIndicatorsXmpPagePatch14}
+\pastebutton{CycleIndicatorsXmpPageEmpty14}{\showpaste}
+\tab{5}\spadcommand{cap(elementary 3*elementary 2*elementary 1,complete 2**2*complete 1**2)}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch15}
+\begin{paste}{CycleIndicatorsXmpPageFull15}{CycleIndicatorsXmpPageEmpty15}
+\pastebutton{CycleIndicatorsXmpPageFull15}{\hidepaste}
+\tab{5}\spadcommand{cap(complete 3*complete 2*complete 1,elementary 2**2*elementary 1**2)}
+\indentrel{3}\begin{verbatim}
+   (14)  8
+                                 Type: Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty15}
+\begin{paste}{CycleIndicatorsXmpPageEmpty15}{CycleIndicatorsXmpPagePatch15}
+\pastebutton{CycleIndicatorsXmpPageEmpty15}{\showpaste}
+\tab{5}\spadcommand{cap(complete 3*complete 2*complete 1,elementary 2**2*elementary 1**2)}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch16}
+\begin{paste}{CycleIndicatorsXmpPageFull16}{CycleIndicatorsXmpPageEmpty16}
+\pastebutton{CycleIndicatorsXmpPageFull16}{\hidepaste}
+\tab{5}\spadcommand{eval(cup(complete 3*complete 2*complete 1, cup(complete 2**2*complete 1**2,complete 2**3)))}
+\indentrel{3}\begin{verbatim}
+   (15)  1500
+                                 Type: Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty16}
+\begin{paste}{CycleIndicatorsXmpPageEmpty16}{CycleIndicatorsXmpPagePatch16}
+\pastebutton{CycleIndicatorsXmpPageEmpty16}{\showpaste}
+\tab{5}\spadcommand{eval(cup(complete 3*complete 2*complete 1, cup(complete 2**2*complete 1**2,complete 2**3)))}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch17}
+\begin{paste}{CycleIndicatorsXmpPageFull17}{CycleIndicatorsXmpPageEmpty17}
+\pastebutton{CycleIndicatorsXmpPageFull17}{\hidepaste}
+\tab{5}\spadcommand{square:=dihedral 4}
+\indentrel{3}\begin{verbatim}
+         1       3   2    1     2    1   4
+   (16)  Ä (4) + Ä (2 ) + Ä (2 1 ) + Ä (1 )
+         4       8        4          8
+             Type: SymmetricPolynomial Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty17}
+\begin{paste}{CycleIndicatorsXmpPageEmpty17}{CycleIndicatorsXmpPagePatch17}
+\pastebutton{CycleIndicatorsXmpPageEmpty17}{\showpaste}
+\tab{5}\spadcommand{square:=dihedral 4}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch18}
+\begin{paste}{CycleIndicatorsXmpPageFull18}{CycleIndicatorsXmpPageEmpty18}
+\pastebutton{CycleIndicatorsXmpPageFull18}{\hidepaste}
+\tab{5}\spadcommand{cap(complete 2**2,square)}
+\indentrel{3}\begin{verbatim}
+   (17)  2
+                                 Type: Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty18}
+\begin{paste}{CycleIndicatorsXmpPageEmpty18}{CycleIndicatorsXmpPagePatch18}
+\pastebutton{CycleIndicatorsXmpPageEmpty18}{\showpaste}
+\tab{5}\spadcommand{cap(complete 2**2,square)}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch19}
+\begin{paste}{CycleIndicatorsXmpPageFull19}{CycleIndicatorsXmpPageEmpty19}
+\pastebutton{CycleIndicatorsXmpPageFull19}{\hidepaste}
+\tab{5}\spadcommand{cap(complete 3*complete 2**2,dihedral 7)}
+\indentrel{3}\begin{verbatim}
+   (18)  18
+                                 Type: Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty19}
+\begin{paste}{CycleIndicatorsXmpPageEmpty19}{CycleIndicatorsXmpPagePatch19}
+\pastebutton{CycleIndicatorsXmpPageEmpty19}{\showpaste}
+\tab{5}\spadcommand{cap(complete 3*complete 2**2,dihedral 7)}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch20}
+\begin{paste}{CycleIndicatorsXmpPageFull20}{CycleIndicatorsXmpPageEmpty20}
+\pastebutton{CycleIndicatorsXmpPageFull20}{\hidepaste}
+\tab{5}\spadcommand{cap(graphs 5,complete 7*complete 3)}
+\indentrel{3}\begin{verbatim}
+   (19)  4
+                                 Type: Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty20}
+\begin{paste}{CycleIndicatorsXmpPageEmpty20}{CycleIndicatorsXmpPagePatch20}
+\pastebutton{CycleIndicatorsXmpPageEmpty20}{\showpaste}
+\tab{5}\spadcommand{cap(graphs 5,complete 7*complete 3)}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch21}
+\begin{paste}{CycleIndicatorsXmpPageFull21}{CycleIndicatorsXmpPageEmpty21}
+\pastebutton{CycleIndicatorsXmpPageFull21}{\hidepaste}
+\tab{5}\spadcommand{s(x) == powerSum(x)}
+\indentrel{3}\begin{verbatim}
+                                             Type: Void
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty21}
+\begin{paste}{CycleIndicatorsXmpPageEmpty21}{CycleIndicatorsXmpPagePatch21}
+\pastebutton{CycleIndicatorsXmpPageEmpty21}{\showpaste}
+\tab{5}\spadcommand{s(x) == powerSum(x)}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch22}
+\begin{paste}{CycleIndicatorsXmpPageFull22}{CycleIndicatorsXmpPageEmpty22}
+\pastebutton{CycleIndicatorsXmpPageFull22}{\hidepaste}
+\tab{5}\spadcommand{cube:=(1/24)*(s 1**8+9*s 2**4 + 8*s 3**2*s 1**2+6*s 4**2)}
+\indentrel{3}\begin{verbatim}
+         1   2    1   2 2    3   4     1   8
+   (21)  Ä (4 ) + Ä (3 1 ) + Ä (2 ) + ÄÄ (1 )
+         4        3          8        24
+             Type: SymmetricPolynomial Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty22}
+\begin{paste}{CycleIndicatorsXmpPageEmpty22}{CycleIndicatorsXmpPagePatch22}
+\pastebutton{CycleIndicatorsXmpPageEmpty22}{\showpaste}
+\tab{5}\spadcommand{cube:=(1/24)*(s 1**8+9*s 2**4 + 8*s 3**2*s 1**2+6*s 4**2)}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch23}
+\begin{paste}{CycleIndicatorsXmpPageFull23}{CycleIndicatorsXmpPageEmpty23}
+\pastebutton{CycleIndicatorsXmpPageFull23}{\hidepaste}
+\tab{5}\spadcommand{cap(complete 4**2,cube)}
+\indentrel{3}\begin{verbatim}
+   (22)  7
+                                 Type: Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty23}
+\begin{paste}{CycleIndicatorsXmpPageEmpty23}{CycleIndicatorsXmpPagePatch23}
+\pastebutton{CycleIndicatorsXmpPageEmpty23}{\showpaste}
+\tab{5}\spadcommand{cap(complete 4**2,cube)}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch24}
+\begin{paste}{CycleIndicatorsXmpPageFull24}{CycleIndicatorsXmpPageEmpty24}
+\pastebutton{CycleIndicatorsXmpPageFull24}{\hidepaste}
+\tab{5}\spadcommand{cap(complete 2**3*complete 1**2,wreath(elementary 4,elementary 2))}
+\indentrel{3}\begin{verbatim}
+   (23)  7
+                                 Type: Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty24}
+\begin{paste}{CycleIndicatorsXmpPageEmpty24}{CycleIndicatorsXmpPagePatch24}
+\pastebutton{CycleIndicatorsXmpPageEmpty24}{\showpaste}
+\tab{5}\spadcommand{cap(complete 2**3*complete 1**2,wreath(elementary 4,elementary 2))}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch25}
+\begin{paste}{CycleIndicatorsXmpPageFull25}{CycleIndicatorsXmpPageEmpty25}
+\pastebutton{CycleIndicatorsXmpPageFull25}{\hidepaste}
+\tab{5}\spadcommand{cap(complete 2**3*complete 1**2,wreath(elementary 4,complete 2))}
+\indentrel{3}\begin{verbatim}
+   (24)  17
+                                 Type: Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty25}
+\begin{paste}{CycleIndicatorsXmpPageEmpty25}{CycleIndicatorsXmpPagePatch25}
+\pastebutton{CycleIndicatorsXmpPageEmpty25}{\showpaste}
+\tab{5}\spadcommand{cap(complete 2**3*complete 1**2,wreath(elementary 4,complete 2))}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch26}
+\begin{paste}{CycleIndicatorsXmpPageFull26}{CycleIndicatorsXmpPageEmpty26}
+\pastebutton{CycleIndicatorsXmpPageFull26}{\hidepaste}
+\tab{5}\spadcommand{cap(complete 2**3*complete 1**2,wreath(complete 4,elementary 2))}
+\indentrel{3}\begin{verbatim}
+   (25)  10
+                                 Type: Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty26}
+\begin{paste}{CycleIndicatorsXmpPageEmpty26}{CycleIndicatorsXmpPagePatch26}
+\pastebutton{CycleIndicatorsXmpPageEmpty26}{\showpaste}
+\tab{5}\spadcommand{cap(complete 2**3*complete 1**2,wreath(complete 4,elementary 2))}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch27}
+\begin{paste}{CycleIndicatorsXmpPageFull27}{CycleIndicatorsXmpPageEmpty27}
+\pastebutton{CycleIndicatorsXmpPageFull27}{\hidepaste}
+\tab{5}\spadcommand{cap(complete 2**3*complete 1**2,wreath(complete 4,complete 2))}
+\indentrel{3}\begin{verbatim}
+   (26)  23
+                                 Type: Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty27}
+\begin{paste}{CycleIndicatorsXmpPageEmpty27}{CycleIndicatorsXmpPagePatch27}
+\pastebutton{CycleIndicatorsXmpPageEmpty27}{\showpaste}
+\tab{5}\spadcommand{cap(complete 2**3*complete 1**2,wreath(complete 4,complete 2))}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch28}
+\begin{paste}{CycleIndicatorsXmpPageFull28}{CycleIndicatorsXmpPageEmpty28}
+\pastebutton{CycleIndicatorsXmpPageFull28}{\hidepaste}
+\tab{5}\spadcommand{x: ULS(FRAC INT,'x,0) := 'x\bound{x }}
+\indentrel{3}\begin{verbatim}
+   (27)  x
+    Type: UnivariateLaurentSeries(Fraction Integer,x,0)
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty28}
+\begin{paste}{CycleIndicatorsXmpPageEmpty28}{CycleIndicatorsXmpPagePatch28}
+\pastebutton{CycleIndicatorsXmpPageEmpty28}{\showpaste}
+\tab{5}\spadcommand{x: ULS(FRAC INT,'x,0) := 'x\bound{x }}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch29}
+\begin{paste}{CycleIndicatorsXmpPageFull29}{CycleIndicatorsXmpPageEmpty29}
+\pastebutton{CycleIndicatorsXmpPageFull29}{\hidepaste}
+\tab{5}\spadcommand{ZeroOrOne: INT -> ULS(FRAC INT, 'x, 0)\bound{zodec }}
+\indentrel{3}\begin{verbatim}
+                                             Type: Void
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty29}
+\begin{paste}{CycleIndicatorsXmpPageEmpty29}{CycleIndicatorsXmpPagePatch29}
+\pastebutton{CycleIndicatorsXmpPageEmpty29}{\showpaste}
+\tab{5}\spadcommand{ZeroOrOne: INT -> ULS(FRAC INT, 'x, 0)\bound{zodec }}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch30}
+\begin{paste}{CycleIndicatorsXmpPageFull30}{CycleIndicatorsXmpPageEmpty30}
+\pastebutton{CycleIndicatorsXmpPageFull30}{\hidepaste}
+\tab{5}\spadcommand{Integers: INT -> ULS(FRAC INT, 'x, 0)\bound{idec }}
+\indentrel{3}\begin{verbatim}
+                                             Type: Void
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty30}
+\begin{paste}{CycleIndicatorsXmpPageEmpty30}{CycleIndicatorsXmpPagePatch30}
+\pastebutton{CycleIndicatorsXmpPageEmpty30}{\showpaste}
+\tab{5}\spadcommand{Integers: INT -> ULS(FRAC INT, 'x, 0)\bound{idec }}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch31}
+\begin{paste}{CycleIndicatorsXmpPageFull31}{CycleIndicatorsXmpPageEmpty31}
+\pastebutton{CycleIndicatorsXmpPageFull31}{\hidepaste}
+\tab{5}\spadcommand{ZeroOrOne n == 1+x**n\free{x zodec }\bound{zo }}
+\indentrel{3}\begin{verbatim}
+                                             Type: Void
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty31}
+\begin{paste}{CycleIndicatorsXmpPageEmpty31}{CycleIndicatorsXmpPagePatch31}
+\pastebutton{CycleIndicatorsXmpPageEmpty31}{\showpaste}
+\tab{5}\spadcommand{ZeroOrOne n == 1+x**n\free{x zodec }\bound{zo }}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch32}
+\begin{paste}{CycleIndicatorsXmpPageFull32}{CycleIndicatorsXmpPageEmpty32}
+\pastebutton{CycleIndicatorsXmpPageFull32}{\hidepaste}
+\tab{5}\spadcommand{ZeroOrOne 5\free{zo }}
+\indentrel{3}\begin{verbatim}
+              5
+   (31)  1 + x
+    Type: UnivariateLaurentSeries(Fraction Integer,x,0)
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty32}
+\begin{paste}{CycleIndicatorsXmpPageEmpty32}{CycleIndicatorsXmpPagePatch32}
+\pastebutton{CycleIndicatorsXmpPageEmpty32}{\showpaste}
+\tab{5}\spadcommand{ZeroOrOne 5\free{zo }}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch33}
+\begin{paste}{CycleIndicatorsXmpPageFull33}{CycleIndicatorsXmpPageEmpty33}
+\pastebutton{CycleIndicatorsXmpPageFull33}{\hidepaste}
+\tab{5}\spadcommand{Integers n == 1/(1-x**n)\free{x idec }\bound{i }}
+\indentrel{3}\begin{verbatim}
+                                             Type: Void
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty33}
+\begin{paste}{CycleIndicatorsXmpPageEmpty33}{CycleIndicatorsXmpPagePatch33}
+\pastebutton{CycleIndicatorsXmpPageEmpty33}{\showpaste}
+\tab{5}\spadcommand{Integers n == 1/(1-x**n)\free{x idec }\bound{i }}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch34}
+\begin{paste}{CycleIndicatorsXmpPageFull34}{CycleIndicatorsXmpPageEmpty34}
+\pastebutton{CycleIndicatorsXmpPageFull34}{\hidepaste}
+\tab{5}\spadcommand{Integers 5\free{i }}
+\indentrel{3}\begin{verbatim}
+              5    10      11
+   (33)  1 + x  + x   + O(x  )
+    Type: UnivariateLaurentSeries(Fraction Integer,x,0)
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty34}
+\begin{paste}{CycleIndicatorsXmpPageEmpty34}{CycleIndicatorsXmpPagePatch34}
+\pastebutton{CycleIndicatorsXmpPageEmpty34}{\showpaste}
+\tab{5}\spadcommand{Integers 5\free{i }}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch35}
+\begin{paste}{CycleIndicatorsXmpPageFull35}{CycleIndicatorsXmpPageEmpty35}
+\pastebutton{CycleIndicatorsXmpPageFull35}{\hidepaste}
+\tab{5}\spadcommand{eval(ZeroOrOne, graphs 5)\free{zo }}
+\indentrel{3}\begin{verbatim}
+   (34)
+               2     3     4     5     6     7     8    9
+     1 + x + 2x  + 4x  + 6x  + 6x  + 6x  + 4x  + 2x  + x
+   + 
+      10      11
+     x   + O(x  )
+    Type: UnivariateLaurentSeries(Fraction Integer,x,0)
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty35}
+\begin{paste}{CycleIndicatorsXmpPageEmpty35}{CycleIndicatorsXmpPagePatch35}
+\pastebutton{CycleIndicatorsXmpPageEmpty35}{\showpaste}
+\tab{5}\spadcommand{eval(ZeroOrOne, graphs 5)\free{zo }}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch36}
+\begin{paste}{CycleIndicatorsXmpPageFull36}{CycleIndicatorsXmpPageEmpty36}
+\pastebutton{CycleIndicatorsXmpPageFull36}{\hidepaste}
+\tab{5}\spadcommand{eval(ZeroOrOne,dihedral 8)\free{zo }}
+\indentrel{3}\begin{verbatim}
+                   2     3     4     5     6    7    8
+   (35)  1 + x + 4x  + 5x  + 8x  + 5x  + 4x  + x  + x
+    Type: UnivariateLaurentSeries(Fraction Integer,x,0)
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty36}
+\begin{paste}{CycleIndicatorsXmpPageEmpty36}{CycleIndicatorsXmpPagePatch36}
+\pastebutton{CycleIndicatorsXmpPageEmpty36}{\showpaste}
+\tab{5}\spadcommand{eval(ZeroOrOne,dihedral 8)\free{zo }}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch37}
+\begin{paste}{CycleIndicatorsXmpPageFull37}{CycleIndicatorsXmpPageEmpty37}
+\pastebutton{CycleIndicatorsXmpPageFull37}{\hidepaste}
+\tab{5}\spadcommand{eval(Integers,complete 4)\free{i }}
+\indentrel{3}\begin{verbatim}
+   (36)
+               2     3     4     5     6      7      8
+     1 + x + 2x  + 3x  + 5x  + 6x  + 9x  + 11x  + 15x
+   + 
+        9      10      11
+     18x  + 23x   + O(x  )
+    Type: UnivariateLaurentSeries(Fraction Integer,x,0)
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty37}
+\begin{paste}{CycleIndicatorsXmpPageEmpty37}{CycleIndicatorsXmpPagePatch37}
+\pastebutton{CycleIndicatorsXmpPageEmpty37}{\showpaste}
+\tab{5}\spadcommand{eval(Integers,complete 4)\free{i }}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch38}
+\begin{paste}{CycleIndicatorsXmpPageFull38}{CycleIndicatorsXmpPageEmpty38}
+\pastebutton{CycleIndicatorsXmpPageFull38}{\hidepaste}
+\tab{5}\spadcommand{eval(Integers,elementary 4)\free{i }}
+\indentrel{3}\begin{verbatim}
+   (37)
+      6    7     8     9     10     11     12      13
+     x  + x  + 2x  + 3x  + 5x   + 6x   + 9x   + 11x
+   + 
+        14      15      16      17
+     15x   + 18x   + 23x   + O(x  )
+    Type: UnivariateLaurentSeries(Fraction Integer,x,0)
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty38}
+\begin{paste}{CycleIndicatorsXmpPageEmpty38}{CycleIndicatorsXmpPagePatch38}
+\pastebutton{CycleIndicatorsXmpPageEmpty38}{\showpaste}
+\tab{5}\spadcommand{eval(Integers,elementary 4)\free{i }}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch39}
+\begin{paste}{CycleIndicatorsXmpPageFull39}{CycleIndicatorsXmpPageEmpty39}
+\pastebutton{CycleIndicatorsXmpPageFull39}{\hidepaste}
+\tab{5}\spadcommand{eval(ZeroOrOne,cube)\free{zo }}
+\indentrel{3}\begin{verbatim}
+                   2     3     4     5     6    7    8
+   (38)  1 + x + 3x  + 3x  + 7x  + 3x  + 3x  + x  + x
+    Type: UnivariateLaurentSeries(Fraction Integer,x,0)
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty39}
+\begin{paste}{CycleIndicatorsXmpPageEmpty39}{CycleIndicatorsXmpPagePatch39}
+\pastebutton{CycleIndicatorsXmpPageEmpty39}{\showpaste}
+\tab{5}\spadcommand{eval(ZeroOrOne,cube)\free{zo }}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch40}
+\begin{paste}{CycleIndicatorsXmpPageFull40}{CycleIndicatorsXmpPageEmpty40}
+\pastebutton{CycleIndicatorsXmpPageFull40}{\hidepaste}
+\tab{5}\spadcommand{eval(Integers,cube)\free{i }}
+\indentrel{3}\begin{verbatim}
+   (39)
+               2     3      4      5      6       7
+     1 + x + 4x  + 7x  + 21x  + 37x  + 85x  + 151x
+   + 
+         8       9       10      11
+     292x  + 490x  + 848x   + O(x  )
+    Type: UnivariateLaurentSeries(Fraction Integer,x,0)
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty40}
+\begin{paste}{CycleIndicatorsXmpPageEmpty40}{CycleIndicatorsXmpPagePatch40}
+\pastebutton{CycleIndicatorsXmpPageEmpty40}{\showpaste}
+\tab{5}\spadcommand{eval(Integers,cube)\free{i }}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch41}
+\begin{paste}{CycleIndicatorsXmpPageFull41}{CycleIndicatorsXmpPageEmpty41}
+\pastebutton{CycleIndicatorsXmpPageFull41}{\hidepaste}
+\tab{5}\spadcommand{eval(Integers,graphs 5)\free{i }}
+\indentrel{3}\begin{verbatim}
+   (40)
+               2     3      4      5      6       7
+     1 + x + 3x  + 7x  + 17x  + 35x  + 76x  + 149x
+   + 
+         8       9       10      11
+     291x  + 539x  + 974x   + O(x  )
+    Type: UnivariateLaurentSeries(Fraction Integer,x,0)
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty41}
+\begin{paste}{CycleIndicatorsXmpPageEmpty41}{CycleIndicatorsXmpPagePatch41}
+\pastebutton{CycleIndicatorsXmpPageEmpty41}{\showpaste}
+\tab{5}\spadcommand{eval(Integers,graphs 5)\free{i }}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch42}
+\begin{paste}{CycleIndicatorsXmpPageFull42}{CycleIndicatorsXmpPageEmpty42}
+\pastebutton{CycleIndicatorsXmpPageFull42}{\hidepaste}
+\tab{5}\spadcommand{eval(ZeroOrOne ,graphs 15)\free{zo }}
+\indentrel{3}\begin{verbatim}
+   (41)
+               2     3      4      5      6       7
+     1 + x + 2x  + 5x  + 11x  + 26x  + 68x  + 177x
+   + 
+         8        9        10      11
+     496x  + 1471x  + 4583x   + O(x  )
+    Type: UnivariateLaurentSeries(Fraction Integer,x,0)
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty42}
+\begin{paste}{CycleIndicatorsXmpPageEmpty42}{CycleIndicatorsXmpPagePatch42}
+\pastebutton{CycleIndicatorsXmpPageEmpty42}{\showpaste}
+\tab{5}\spadcommand{eval(ZeroOrOne ,graphs 15)\free{zo }}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch43}
+\begin{paste}{CycleIndicatorsXmpPageFull43}{CycleIndicatorsXmpPageEmpty43}
+\pastebutton{CycleIndicatorsXmpPageFull43}{\hidepaste}
+\tab{5}\spadcommand{cap(dihedral 30,complete 7*complete 8*complete 5*complete 10)}
+\indentrel{3}\begin{verbatim}
+   (42)  49958972383320
+                                 Type: Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty43}
+\begin{paste}{CycleIndicatorsXmpPageEmpty43}{CycleIndicatorsXmpPagePatch43}
+\pastebutton{CycleIndicatorsXmpPageEmpty43}{\showpaste}
+\tab{5}\spadcommand{cap(dihedral 30,complete 7*complete 8*complete 5*complete 10)}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch44}
+\begin{paste}{CycleIndicatorsXmpPageFull44}{CycleIndicatorsXmpPageEmpty44}
+\pastebutton{CycleIndicatorsXmpPageFull44}{\hidepaste}
+\tab{5}\spadcommand{sf3221:= SFunction [3,2,2,1]\bound{sf3221 }}
+\indentrel{3}\begin{verbatim}
+   (43)
+      1          1     2     1   2     1
+     ÄÄ (6 2) - ÄÄ (6 1 ) - ÄÄ (4 ) + ÄÄ (4 3 1)
+     12         12          16        12
+   + 
+      1     4     1   2      1   2 2     1     2
+     ÄÄ (4 1 ) - ÄÄ (3 2) + ÄÄ (3 1 ) - ÄÄ (3 2 1)
+     24          36         36          24
+   + 
+        1       3     1     5     1    4     1   3 2
+     - ÄÄ (3 2 1 ) - ÄÄ (3 1 ) - ÄÄÄ (2 ) + ÄÄ (2 1 )
+       36            72          192        48
+   + 
+      1   2 4     1      6     1    8
+     ÄÄ (2 1 ) - ÄÄÄ (2 1 ) + ÄÄÄ (1 )
+     96          144          576
+             Type: SymmetricPolynomial Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty44}
+\begin{paste}{CycleIndicatorsXmpPageEmpty44}{CycleIndicatorsXmpPagePatch44}
+\pastebutton{CycleIndicatorsXmpPageEmpty44}{\showpaste}
+\tab{5}\spadcommand{sf3221:= SFunction [3,2,2,1]\bound{sf3221 }}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch45}
+\begin{paste}{CycleIndicatorsXmpPageFull45}{CycleIndicatorsXmpPageEmpty45}
+\pastebutton{CycleIndicatorsXmpPageFull45}{\hidepaste}
+\tab{5}\spadcommand{cap(sf3221,complete 2**4)\free{sf3221 }}
+\indentrel{3}\begin{verbatim}
+   (44)  3
+                                 Type: Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty45}
+\begin{paste}{CycleIndicatorsXmpPageEmpty45}{CycleIndicatorsXmpPagePatch45}
+\pastebutton{CycleIndicatorsXmpPageEmpty45}{\showpaste}
+\tab{5}\spadcommand{cap(sf3221,complete 2**4)\free{sf3221 }}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch46}
+\begin{paste}{CycleIndicatorsXmpPageFull46}{CycleIndicatorsXmpPageEmpty46}
+\pastebutton{CycleIndicatorsXmpPageFull46}{\hidepaste}
+\tab{5}\spadcommand{cap(sf3221, powerSum 1**8)\free{sf3221 }}
+\indentrel{3}\begin{verbatim}
+   (45)  70
+                                 Type: Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty46}
+\begin{paste}{CycleIndicatorsXmpPageEmpty46}{CycleIndicatorsXmpPagePatch46}
+\pastebutton{CycleIndicatorsXmpPageEmpty46}{\showpaste}
+\tab{5}\spadcommand{cap(sf3221, powerSum 1**8)\free{sf3221 }}
+\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPagePatch47}
+\begin{paste}{CycleIndicatorsXmpPageFull47}{CycleIndicatorsXmpPageEmpty47}
+\pastebutton{CycleIndicatorsXmpPageFull47}{\hidepaste}
+\tab{5}\spadcommand{eval(Integers, sf3221)\free{i sf3221 }}
+\indentrel{3}\begin{verbatim}
+   (46)
+      9     10     11      12      13      14      15
+     x  + 3x   + 7x   + 14x   + 27x   + 47x   + 79x
+   + 
+         16       17       18       19      20
+     126x   + 196x   + 294x   + 432x   + O(x  )
+    Type: UnivariateLaurentSeries(Fraction Integer,x,0)
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{CycleIndicatorsXmpPageEmpty47}
+\begin{paste}{CycleIndicatorsXmpPageEmpty47}{CycleIndicatorsXmpPagePatch47}
+\pastebutton{CycleIndicatorsXmpPageEmpty47}{\showpaste}
+\tab{5}\spadcommand{eval(Integers, sf3221)\free{i sf3221 }}
+\end{paste}\end{patch}
+