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/usr/share/xscreensaver/config/spheremonics.xml is in xscreensaver-gl-extra 5.15-3ubuntu1.

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The actual contents of the file can be viewed below.

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<?xml version="1.0" encoding="ISO-8859-1"?>

<screensaver name="spheremonics" _label="Spheremonics">

  <command arg="-root"/>

  <hgroup>
   <vgroup>
    <number id="delay" type="slider" arg="-delay %"
            _label="Frame rate" _low-label="Low" _high-label="High"
            low="0" high="100000" default="30000"
            convert="invert"/>

    <number id="duration" type="slider" arg="-duration %"
            _label="Duration" _low-label="Short" _high-label="Long"
            low="5" high="1000" default="100"/>

    <number id="resolution" type="slider" arg="-resolution %"
            _label="Resolution" _low-label="Low" _high-label="High"
            low="5" high="100" default="64"/>

   </vgroup>
   <vgroup>
    <boolean id="wander" _label="Wander" arg-set="-wander"/>

    <select id="rotation">
      <option id="no"  _label="Don't rotate"               arg-set="-spin 0"/>
      <option id="x"   _label="Rotate around X axis"       arg-set="-spin X"/>
      <option id="y"   _label="Rotate around Y axis"       arg-set="-spin Y"/>
      <option id="z"   _label="Rotate around Z axis"       arg-set="-spin Z"/>
      <option id="xy"  _label="Rotate around X and Y axes" arg-set="-spin XY"/>
      <option id="xz"  _label="Rotate around X and Z axes" arg-set="-spin XZ"/>
      <option id="yz"  _label="Rotate around Y and Z axes" arg-set="-spin YZ"/>
      <option id="xyz" _label="Rotate around all three axes"/>
    </select>

    <boolean id="smooth" _label="Smoothed lines"  arg-unset="-no-smooth"/>
    <boolean id="grid" _label="Draw grid"         arg-unset="-no-grid"/>
    <boolean id="bbox" _label="Draw bounding box" arg-set="-bbox"/>

    <boolean id="wire"    _label="Wireframe"              arg-set="-wireframe"/>
    <boolean id="showfps" _label="Show frame rate" arg-set="-fps"/>
  </vgroup>
  </hgroup>

  <_description>
These closed objects are commonly called spherical harmonics,
although they are only remotely related to the mathematical
definition found in the solution to certain wave functions, most
notably the eigenfunctions of angular momentum operators.

http://en.wikipedia.org/wiki/Spherical_harmonics#Visualization_of_the_spherical_harmonics

Written by Paul Bourke and Jamie Zawinski; 2002.
  </_description>
</screensaver>