Two-dimensional facet query - solr

Question

I have a simple query which returns counts for two different facets (e.g. authors and categories) with some limit. For instance:
select?q=*&facet.field=authors&facet.field=categories&facet.limit=2
As the result two lists with two top values each are returned, e.g.:
<lst name="facet_fields">
<lst name="authors">
<int name="Author1">1200</int>
<int name="Author2">1100</int>
</lst>
<lst name="categories">
<int name="Cat1">500</int>
<int name="Cat2">400</int>
</lst>
</lst>
I would like to present these facets on a two-dimensional table with the count for each pair:
Author1 Author2
Cat1 x x
Cat2 x x
How can I get the count for each pair? I tried to use pivot faceting with the query like this:
select?q=*&facet.pivot=authors,categories&facet.limit=2
but the response is not what I expect as it can contain something like in the following example where categories in the pivot for Author2 are different than for Author1. The pivot presents top categories for each author and not top categories for the whole query:
<lst name="facet_pivot">
<arr name="authors,categories">
<lst>
<str name="field">authors</str>
<str name="value">Author1</str>
<int name="count">1200</int>
<arr name="pivot">
<lst>
<str name="field">categories</str>
<str name="value">Cat1</str>
<int name="count">450</int>
</lst>
<lst>
<str name="field">categories</str>
<str name="value">Cat2</str>
<int name="count">300</int>
</lst>
</arr>
</lst>
<lst>
<str name="field">authors</str>
<str name="value">Author2</str>
<int name="count">1100</int>
<arr name="pivot">
<lst>
<str name="field">categories</str>
<str name="value">Cat3</str>
<int name="count">300</int>
</lst>
<lst>
<str name="field">categories</str>
<str name="value">Cat4</str>
<int name="count">250</int>
</lst>
</arr>
</lst>
</arr>
</lst>
Can the pivot query be somehow parameterized to achieve the desired result of is there any other query that I could use for this particular use case?