Brauer Tree from Brauer Graph Paper (G1)
<A quotient of the path algebra <Rationals[<quiver with 6 vertices and 
8 arrows>]> modulo the ideal 
<two-sided ideal in <Rationals[<quiver with 6 vertices and 8 arrows>]>, 
  (11 generators)>>Dimension: 49
Cartan Matrix:
[ [ 5, 3, 3, 0, 0, 0 ], [ 3, 4, 3, 0, 0, 0 ], [ 3, 3, 4, 1, 1, 1 ], 
  [ 0, 0, 1, 2, 1, 1 ], [ 0, 0, 1, 1, 2, 1 ], [ 0, 0, 1, 1, 1, 2 ] ]
Simple Modules: 
[ <Module over <Rationals[<quiver with 6 vertices and 8 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 6 vertices and 8 arrows>]>, 
      (11 generators)>> with dimension vector [ 1, 0, 0, 0, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 6 vertices and 8 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 6 vertices and 8 arrows>]>, 
      (11 generators)>> with dimension vector [ 0, 1, 0, 0, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 6 vertices and 8 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 6 vertices and 8 arrows>]>, 
      (11 generators)>> with dimension vector [ 0, 0, 1, 0, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 6 vertices and 8 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 6 vertices and 8 arrows>]>, 
      (11 generators)>> with dimension vector [ 0, 0, 0, 1, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 6 vertices and 8 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 6 vertices and 8 arrows>]>, 
      (11 generators)>> with dimension vector [ 0, 0, 0, 0, 1, 0 ]>, 
  <Module over <Rationals[<quiver with 6 vertices and 8 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 6 vertices and 8 arrows>]>, 
      (11 generators)>> with dimension vector [ 0, 0, 0, 0, 0, 1 ]> ]

Brauer Graph from Brauer Graph Paper (G2)
<A quotient of the path algebra <Rationals[<quiver with 4 vertices and 
7 arrows>]> modulo the ideal 
<two-sided ideal in <Rationals[<quiver with 4 vertices and 7 arrows>]>, 
  (12 generators)>>Dimension: 26
Cartan Matrix:
[ [ 4, 2, 2, 0 ], [ 2, 2, 2, 1 ], [ 2, 2, 2, 1 ], [ 0, 1, 1, 2 ] ]
Simple Modules: 
[ <Module over <Rationals[<quiver with 4 vertices and 7 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 4 vertices and 7 arrows>]>, 
      (12 generators)>> with dimension vector [ 1, 0, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 4 vertices and 7 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 4 vertices and 7 arrows>]>, 
      (12 generators)>> with dimension vector [ 0, 1, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 4 vertices and 7 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 4 vertices and 7 arrows>]>, 
      (12 generators)>> with dimension vector [ 0, 0, 1, 0 ]>, 
  <Module over <Rationals[<quiver with 4 vertices and 7 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 4 vertices and 7 arrows>]>, 
      (12 generators)>> with dimension vector [ 0, 0, 0, 1 ]> ]

Brauer Graph from Brauer Graph Paper (G3)
<A quotient of the path algebra <Rationals[<quiver with 3 vertices and 
6 arrows>]> modulo the ideal 
<two-sided ideal in <Rationals[<quiver with 3 vertices and 6 arrows>]>, 
  (12 generators)>>Dimension: 18
Cartan Matrix:
[ [ 2, 2, 2 ], [ 2, 2, 2 ], [ 2, 2, 2 ] ]
Simple Modules: 
[ <Module over <Rationals[<quiver with 3 vertices and 6 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 3 vertices and 6 arrows>]>, 
      (12 generators)>> with dimension vector [ 1, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 3 vertices and 6 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 3 vertices and 6 arrows>]>, 
      (12 generators)>> with dimension vector [ 0, 1, 0 ]>, 
  <Module over <Rationals[<quiver with 3 vertices and 6 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 3 vertices and 6 arrows>]>, 
      (12 generators)>> with dimension vector [ 0, 0, 1 ]> ]

Brauer Graph from Brauer Graph Paper (G4)
<A quotient of the path algebra <Rationals[<quiver with 3 vertices and 
6 arrows>]> modulo the ideal 
<two-sided ideal in <Rationals[<quiver with 3 vertices and 6 arrows>]>, 
  (12 generators)>>Dimension: 18
Cartan Matrix:
[ [ 2, 2, 2 ], [ 2, 2, 2 ], [ 2, 2, 2 ] ]
Simple Modules: 
[ <Module over <Rationals[<quiver with 3 vertices and 6 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 3 vertices and 6 arrows>]>, 
      (12 generators)>> with dimension vector [ 1, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 3 vertices and 6 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 3 vertices and 6 arrows>]>, 
      (12 generators)>> with dimension vector [ 0, 1, 0 ]>, 
  <Module over <Rationals[<quiver with 3 vertices and 6 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 3 vertices and 6 arrows>]>, 
      (12 generators)>> with dimension vector [ 0, 0, 1 ]> ]

Brauer Graph from other Brauer Graph Paper (G5)
<A quotient of the path algebra <Rationals[<quiver with 4 vertices and 
7 arrows>]> modulo the ideal 
<two-sided ideal in <Rationals[<quiver with 4 vertices and 7 arrows>]>, 
  (11 generators)>>Dimension: 18
Cartan Matrix:
[ [ 2, 1, 1, 1 ], [ 1, 2, 1, 0 ], [ 1, 1, 2, 1 ], [ 1, 0, 1, 2 ] ]
Simple Modules: 
[ <Module over <Rationals[<quiver with 4 vertices and 7 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 4 vertices and 7 arrows>]>, 
      (11 generators)>> with dimension vector [ 1, 0, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 4 vertices and 7 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 4 vertices and 7 arrows>]>, 
      (11 generators)>> with dimension vector [ 0, 1, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 4 vertices and 7 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 4 vertices and 7 arrows>]>, 
      (11 generators)>> with dimension vector [ 0, 0, 1, 0 ]>, 
  <Module over <Rationals[<quiver with 4 vertices and 7 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 4 vertices and 7 arrows>]>, 
      (11 generators)>> with dimension vector [ 0, 0, 0, 1 ]> ]

Brauer Tree from Klaus (Line with one edge protruding out in either direction\
 and mult of v6 (leaf) is 2)
<A quotient of the path algebra <Rationals[<quiver with 5 vertices and 
7 arrows>]> modulo the ideal 
<two-sided ideal in <Rationals[<quiver with 5 vertices and 7 arrows>]>, 
  (9 generators)>>Dimension: 25
Cartan Matrix:
[ [ 2, 1, 0, 0, 0 ], [ 1, 2, 1, 1, 1 ], [ 0, 1, 2, 1, 1 ], [ 0, 1, 1, 2, 1 ],
  [ 0, 1, 1, 1, 3 ] ]
Simple Modules: 
[ <Module over <Rationals[<quiver with 5 vertices and 7 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 5 vertices and 7 arrows>]>, 
      (9 generators)>> with dimension vector [ 1, 0, 0, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 5 vertices and 7 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 5 vertices and 7 arrows>]>, 
      (9 generators)>> with dimension vector [ 0, 1, 0, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 5 vertices and 7 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 5 vertices and 7 arrows>]>, 
      (9 generators)>> with dimension vector [ 0, 0, 1, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 5 vertices and 7 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 5 vertices and 7 arrows>]>, 
      (9 generators)>> with dimension vector [ 0, 0, 0, 1, 0 ]>, 
  <Module over <Rationals[<quiver with 5 vertices and 7 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 5 vertices and 7 arrows>]>, 
      (9 generators)>> with dimension vector [ 0, 0, 0, 0, 1 ]> ]

Brauer Tree from Klaus (Line with two vertices and mult of v2 is 3)
<A quotient of the path algebra <Rationals[<quiver with 2 vertices and 
3 arrows>]> modulo the ideal 
<two-sided ideal in <Rationals[<quiver with 2 vertices and 3 arrows>]>, 
  (5 generators)>>Dimension: 8
Cartan Matrix:
[ [ 2, 1 ], [ 1, 4 ] ]
Simple Modules: 
[ <Module over <Rationals[<quiver with 2 vertices and 3 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 2 vertices and 3 arrows>]>, 
      (5 generators)>> with dimension vector [ 1, 0 ]>, 
  <Module over <Rationals[<quiver with 2 vertices and 3 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 2 vertices and 3 arrows>]>, 
      (5 generators)>> with dimension vector [ 0, 1 ]> ]

Brauer Tree from Brauer Tree Paper
<A quotient of the path algebra <Rationals[<quiver with 13 vertices and 
16 arrows>]> modulo the ideal 
<two-sided ideal in <Rationals[<quiver with 13 vertices and 16 arrows>]>, 
  (19 generators)>>Dimension: 130
Cartan Matrix:
[ [ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
  [ 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ], 
  [ 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ], 
  [ 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0 ], 
  [ 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0 ], 
  [ 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0 ], 
  [ 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0 ], 
  [ 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0 ], 
  [ 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0 ], 
  [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 3, 3, 3 ], 
  [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 3, 3 ], 
  [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 4, 3 ], 
  [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 4 ] ]
Simple Modules: 
[ <Module over <Rationals[<quiver with 13 vertices and 16 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 13 vertices and 16 arrows>]>,
      (19 generators)>> with dimension vector 
    [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 13 vertices and 16 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 13 vertices and 16 arrows>]>,
      (19 generators)>> with dimension vector 
    [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 13 vertices and 16 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 13 vertices and 16 arrows>]>,
      (19 generators)>> with dimension vector 
    [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 13 vertices and 16 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 13 vertices and 16 arrows>]>,
      (19 generators)>> with dimension vector 
    [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 13 vertices and 16 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 13 vertices and 16 arrows>]>,
      (19 generators)>> with dimension vector 
    [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 13 vertices and 16 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 13 vertices and 16 arrows>]>,
      (19 generators)>> with dimension vector 
    [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 13 vertices and 16 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 13 vertices and 16 arrows>]>,
      (19 generators)>> with dimension vector 
    [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 13 vertices and 16 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 13 vertices and 16 arrows>]>,
      (19 generators)>> with dimension vector 
    [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 13 vertices and 16 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 13 vertices and 16 arrows>]>,
      (19 generators)>> with dimension vector 
    [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 13 vertices and 16 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 13 vertices and 16 arrows>]>,
      (19 generators)>> with dimension vector 
    [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 13 vertices and 16 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 13 vertices and 16 arrows>]>,
      (19 generators)>> with dimension vector 
    [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]>, 
  <Module over <Rationals[<quiver with 13 vertices and 16 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 13 vertices and 16 arrows>]>,
      (19 generators)>> with dimension vector 
    [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]>, 
  <Module over <Rationals[<quiver with 13 vertices and 16 arrows>]/
    <two-sided ideal in <Rationals[<quiver with 13 vertices and 16 arrows>]>,
      (19 generators)>> with dimension vector 
    [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]> ]