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==Table of values== The following is a table of values of Jacobi symbol {{big|(}}{{sfrac|''a''|''n''}}{{big|)}} with ''n'' β€ 59, ''a'' β€ 30, ''n'' odd. {|class="wikitable" style="margin-left: auto; margin-right: auto; border: none; text-align: right" !{{diagonal split header|''n''|''a''}} !1 !2 !3 !4 !5 !6 !7 !8 !9 !10 !11 !12 !13 !14 !15 !16 !17 !18 !19 !20 !21 !22 !23 !24 !25 !26 !27 !28 !29 !30 |- !1 |style="background:#ffccff"|{{0|β}}1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|{{0|β}}1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|{{0|β}}1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|{{0|β}}1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|{{0|β}}1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |- !3 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ffffcc"|0 |- !5 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ccffff"|β1 |style="background:#ffccff"|1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ccffff"|β1 |style="background:#ffccff"|1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ccffff"|β1 |style="background:#ffccff"|1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ccffff"|β1 |style="background:#ffccff"|1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 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|style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ccffff"|β1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |- !9 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffffcc"|0 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|style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffffcc"|0 |- !27 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ffffcc"|0 |style="background:#ffccff"|1 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|style="background:#ffffcc"|0 |style="background:#ffffcc"|0 |style="background:#ccffff"|β1 |style="background:#ccffff"|β1 |style="background:#ffffcc"|0 |- !41 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ccffff"|β1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ccffff"|β1 |style="background:#ccffff"|β1 |style="background:#ccffff"|β1 |style="background:#ccffff"|β1 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ffccff"|1 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ffccff"|1 |style="background:#ccffff"|β1 |style="background:#ccffff"|β1 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