History of Growth rates of hyperbolic Coxeter simplex groups

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2026-09-13 14:28 bmatschke (no message) current reviewed
2026-09-13 14:27 bmatschke (no message)
2026-09-13 07:04 zeta3 repair Coxeter notation and Kellerhals reference
2026-09-13 07:01 zeta3 repair Coxeter notation and Kellerhals reference
2026-09-13 07:00 zeta3 repair Coxeter notation and Kellerhals reference
2026-09-13 06:32 zeta3 settle compact tetrahedral growth range
2026-09-13 06:32 zeta3 with codex-cli growth rates of compact hyperbolic Coxeter tetrahedral groups
2026-09-13 06:24 zeta3 draft growth rates of hyperbolic Coxeter simplex groups

What changed between 2026-09-13 06:24 and 2026-09-13 06:32

from line 85 (59 lines, 57 more than before) @@ -85,2 +85,59 @@
 Display properties:   number-header: $\tau$+Numbers:+- params:+    n: '3'+    diagram: '[5,3,4]'+  number: '1.359999711711500865451030495300356648713475167436404678928709599000918565827376447822831143284463018'+  comment: $[5,3,4]$, Witt symbol $\overline{BH}_3$. The minimal polynomial of $\tau$+    is $x^{8} - x^{7} + x^{6} - 2 x^{5} + x^{4} - 2 x^{3} + x^{2} - x + 1$.+- params:+    n: '3'+    diagram: '[3,5,3]'+  number: '1.350980337716237310211403573063326436071869401776913617327805098368308978440759340665074043685753467'+  comment: $[3,5,3]$, Witt symbol $\overline J_3$. The minimal polynomial of $\tau$+    is $x^{10} - x^{9} - x^{6} + x^{5} - x^{4} - x + 1$.+- params:+    n: '3'+    diagram: '[5,3^1,1]'+  number: '1.448423040244205801526893998204145083563506879913308068612936614937762577778546801592194681320894080'+  comment: $[5,3^1,1]$, Witt symbol $\overline{DH}_3$. The minimal polynomial of $\tau$+    is $x^{10} - 2 x^{9} + 2 x^{8} - 2 x^{7} + x^{6} - x^{5} + x^{4} - 2 x^{3} + 2+    x^{2} - 2 x + 1$.+- params:+    n: '3'+    diagram: '[(4,3,3,3)]'+  number: '1.556030191322682260530428926604570466321314155677330741391368526702608303524291254496090809974014656'+  comment: $[(4,3,3,3)]$, Witt symbol $\widehat{AB}_3$. The minimal polynomial of+    $\tau$ is $x^{6} - x^{5} - x^{4} + x^{3} - x^{2} - x + 1$.+- params:+    n: '3'+    diagram: '[5,3,5]'+  number: '1.496711075609549521053876917511437994562999682126157792771473390780665499209847422098897241030857063'+  comment: $[5,3,5]$, Witt symbol $\overline K_3$. The minimal polynomial of $\tau$+    is $x^{12} - x^{11} - x^{8} - x^{6} - x^{4} - x + 1$.+- params:+    n: '3'+    diagram: '[(5,3,3,3)]'+  number: '1.713360360672471485705378381164233396958761725360961118980545691160560052148265491798243050926452802'+  comment: $[(5,3,3,3)]$, Witt symbol $\widehat{AH}_3$. The minimal polynomial of+    $\tau$ is $x^{10} - 2 x^{9} + x^{8} - 2 x^{6} + 2 x^{5} - 2 x^{4} + x^{2} - 2+    x + 1$.+- params:+    n: '3'+    diagram: '[(4,3)^2]'+  number: '1.781643598608001947392663351969728057845449665336420046019487278499963638093412619247397379694995723'+  comment: $[(4,3)^2]$, Witt symbol $\widehat{BB}_3$. The minimal polynomial of $\tau$+    is $x^{6} - x^{5} - x^{4} - x^{2} - x + 1$.+- params:+    n: '3'+    diagram: '[(3,4,3,5)]'+  number: '1.883203505913525864168947465362055090560951328672239179570777921570516298917816713755493486651018843'+  comment: $[(3,4,3,5)]$, Witt symbol $\widehat{BH}_3$. The minimal polynomial of+    $\tau$ is $x^{4} - 2 x^{3} + x^{2} - 2 x + 1$.+- params:+    n: '3'+    diagram: '[(5,3)^2]'+  number: '1.963553038988824614086472487622223205507961832552939411195893564457994189092750348189694023089439559'+  comment: $[(5,3)^2]$, Witt symbol $\widehat{HH}_3$. The minimal polynomial of $\tau$+    is $x^{6} - 2 x^{5} - x^{4} + 3 x^{3} - x^{2} - 2 x + 1$. 

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