History of Volumes of the Birkhoff polytopes

     relative:       number: '1'-      param-latex: $\operatorname{vol}_{\mathrm{rel}}(B_{1})$-    normalised:-      number: '1'-      param-latex: $\operatorname{Vol}(B_{1})$-    euclidean:-      number: '1'-      param-latex: $\operatorname{vol}_{\mathrm{Euc}}(B_{1})$+      param-latex: $\operatorname{vol}_{\mathrm{rel}}$+    normalised:+      number: '1'+      param-latex: $\operatorname{Vol}$+    euclidean:+      number: '1'+      param-latex: $\operatorname{vol}_{\mathrm{Euc}}$   '2':     relative:       number: '1'-      param-latex: $\operatorname{vol}_{\mathrm{rel}}(B_{2})$-    normalised:-      number: '1'-      param-latex: $\operatorname{Vol}(B_{2})$+      param-latex: $\operatorname{vol}_{\mathrm{rel}}$+    normalised:+      number: '1'+      param-latex: $\operatorname{Vol}$     euclidean:       number: '2'-      param-latex: $\operatorname{vol}_{\mathrm{Euc}}(B_{2})$+      param-latex: $\operatorname{vol}_{\mathrm{Euc}}$   '3':     relative:       number: 1/8-      param-latex: $\operatorname{vol}_{\mathrm{rel}}(B_{3})$+      param-latex: $\operatorname{vol}_{\mathrm{rel}}$     normalised:       number: '3'-      param-latex: $\operatorname{Vol}(B_{3})$+      param-latex: $\operatorname{Vol}$     euclidean:       number: 9/8-      param-latex: $\operatorname{vol}_{\mathrm{Euc}}(B_{3})$+      param-latex: $\operatorname{vol}_{\mathrm{Euc}}$   '4':     relative:       number: 11/11340-      param-latex: $\operatorname{vol}_{\mathrm{rel}}(B_{4})$+      param-latex: $\operatorname{vol}_{\mathrm{rel}}$     normalised:       number: '352'-      param-latex: $\operatorname{Vol}(B_{4})$+      param-latex: $\operatorname{Vol}$     euclidean:       number: 176/2835-      param-latex: $\operatorname{vol}_{\mathrm{Euc}}(B_{4})$+      param-latex: $\operatorname{vol}_{\mathrm{Euc}}$   '5':     relative:       number: 188723/836911595520-      param-latex: $\operatorname{vol}_{\mathrm{rel}}(B_{5})$+      param-latex: $\operatorname{vol}_{\mathrm{rel}}$     normalised:       number: '4718075'-      param-latex: $\operatorname{Vol}(B_{5})$+      param-latex: $\operatorname{Vol}$     euclidean:       number: 23590375/167382319104-      param-latex: $\operatorname{vol}_{\mathrm{Euc}}(B_{5})$+      param-latex: $\operatorname{vol}_{\mathrm{Euc}}$   '6':     relative:       number: 9700106723/10258736801144832000000-      param-latex: $\operatorname{vol}_{\mathrm{rel}}(B_{6})$+      param-latex: $\operatorname{vol}_{\mathrm{rel}}$     normalised:       number: '14666561365176'-      param-latex: $\operatorname{Vol}(B_{6})$+      param-latex: $\operatorname{Vol}$     euclidean:       number: 9700106723/1319281996032000000-      param-latex: $\operatorname{vol}_{\mathrm{Euc}}(B_{6})$+      param-latex: $\operatorname{vol}_{\mathrm{Euc}}$   '7':     relative:       number: 225762910421308831/4709491654300668677115504230400000000-      param-latex: $\operatorname{vol}_{\mathrm{rel}}(B_{7})$+      param-latex: $\operatorname{vol}_{\mathrm{rel}}$     normalised:       number: '17832560768358341943028'-      param-latex: $\operatorname{Vol}(B_{7})$+      param-latex: $\operatorname{Vol}$     euclidean:       number: 77436678274508929033/13730296368223523839986892800000000-      param-latex: $\operatorname{vol}_{\mathrm{Euc}}(B_{7})$+      param-latex: $\operatorname{vol}_{\mathrm{Euc}}$   '8':     relative:       number: 5562533838576105333259507434329/264011225709317517739692779219312229551889249730560000000000-      param-latex: $\operatorname{vol}_{\mathrm{rel}}(B_{8})$+      param-latex: $\operatorname{vol}_{\mathrm{rel}}$     normalised:       number: '12816077964079346687829905128694016'-      param-latex: $\operatorname{Vol}(B_{8})$+      param-latex: $\operatorname{Vol}$     euclidean:       number: 5562533838576105333259507434329/125890362600954779500814809426933398033089280000000000-      param-latex: $\operatorname{vol}_{\mathrm{Euc}}(B_{8})$+      param-latex: $\operatorname{vol}_{\mathrm{Euc}}$   '9':     relative:       number: 559498129702796022246895686372766052475496691/9269262340995263649896514671280698429605195132920241960610847715334553600000000000000-      param-latex: $\operatorname{vol}_{\mathrm{rel}}(B_{9})$+      param-latex: $\operatorname{vol}_{\mathrm{rel}}$     normalised:       number: '7658969897501574748537755050756794492337074203099'-      param-latex: $\operatorname{Vol}(B_{9})$+      param-latex: $\operatorname{Vol}$     euclidean:       number: 559498129702796022246895686372766052475496691/215330276631180889478121101750832506606140689157723348094523801600000000000000-      param-latex: $\operatorname{vol}_{\mathrm{Euc}}(B_{9})$+      param-latex: $\operatorname{vol}_{\mathrm{Euc}}$   '10':     relative:       number: 727291284016786420977508457990121862548823260052557333386607889/828160860106766855125676318796872729344622463533089422677980721388055739956270293750883504892820848640000000000000000-      param-latex: $\operatorname{vol}_{\mathrm{rel}}(B_{10})$+      param-latex: $\operatorname{vol}_{\mathrm{rel}}$     normalised:       number: '5091038988117504946842559205930853037841762820367901333706255223000'-      param-latex: $\operatorname{Vol}(B_{10})$+      param-latex: $\operatorname{Vol}$     euclidean:       number: 727291284016786420977508457990121862548823260052557333386607889/828160860106766855125676318796872729344622463533089422677980721388055739956270293750883504892820848640000000-      param-latex: $\operatorname{vol}_{\mathrm{Euc}}(B_{10})$+      param-latex: $\operatorname{vol}_{\mathrm{Euc}}$