{
 "description": "z(x) monomial exponent vectors, in order",
 "basis": [
  [
   0,
   0,
   0,
   0,
   0
  ],
  [
   0,
   0,
   0,
   0,
   1
  ],
  [
   0,
   0,
   0,
   1,
   0
  ],
  [
   0,
   0,
   1,
   0,
   0
  ],
  [
   0,
   1,
   0,
   0,
   0
  ],
  [
   1,
   0,
   0,
   0,
   0
  ],
  [
   0,
   0,
   0,
   0,
   2
  ],
  [
   0,
   0,
   0,
   1,
   1
  ],
  [
   0,
   0,
   0,
   2,
   0
  ],
  [
   0,
   0,
   1,
   0,
   1
  ],
  [
   0,
   0,
   1,
   1,
   0
  ],
  [
   0,
   0,
   2,
   0,
   0
  ],
  [
   0,
   1,
   0,
   0,
   1
  ],
  [
   0,
   1,
   0,
   1,
   0
  ],
  [
   0,
   1,
   1,
   0,
   0
  ],
  [
   0,
   2,
   0,
   0,
   0
  ],
  [
   1,
   0,
   0,
   0,
   1
  ],
  [
   1,
   0,
   0,
   1,
   0
  ],
  [
   1,
   0,
   1,
   0,
   0
  ],
  [
   1,
   1,
   0,
   0,
   0
  ],
  [
   2,
   0,
   0,
   0,
   0
  ],
  [
   0,
   0,
   0,
   0,
   3
  ],
  [
   0,
   0,
   0,
   1,
   2
  ],
  [
   0,
   0,
   0,
   2,
   1
  ],
  [
   0,
   0,
   0,
   3,
   0
  ],
  [
   0,
   0,
   1,
   0,
   2
  ],
  [
   0,
   0,
   1,
   1,
   1
  ],
  [
   0,
   0,
   1,
   2,
   0
  ],
  [
   0,
   0,
   2,
   0,
   1
  ],
  [
   0,
   0,
   2,
   1,
   0
  ],
  [
   0,
   0,
   3,
   0,
   0
  ],
  [
   0,
   1,
   0,
   0,
   2
  ],
  [
   0,
   1,
   0,
   1,
   1
  ],
  [
   0,
   1,
   0,
   2,
   0
  ],
  [
   0,
   1,
   1,
   0,
   1
  ],
  [
   0,
   1,
   1,
   1,
   0
  ],
  [
   0,
   1,
   2,
   0,
   0
  ],
  [
   0,
   2,
   0,
   0,
   1
  ],
  [
   0,
   2,
   0,
   1,
   0
  ],
  [
   0,
   2,
   1,
   0,
   0
  ],
  [
   0,
   3,
   0,
   0,
   0
  ],
  [
   1,
   0,
   0,
   0,
   2
  ],
  [
   1,
   0,
   0,
   1,
   1
  ],
  [
   1,
   0,
   0,
   2,
   0
  ],
  [
   1,
   0,
   1,
   0,
   1
  ],
  [
   1,
   0,
   1,
   1,
   0
  ],
  [
   1,
   0,
   2,
   0,
   0
  ],
  [
   1,
   1,
   0,
   0,
   1
  ],
  [
   1,
   1,
   0,
   1,
   0
  ],
  [
   1,
   1,
   1,
   0,
   0
  ],
  [
   1,
   2,
   0,
   0,
   0
  ],
  [
   2,
   0,
   0,
   0,
   1
  ],
  [
   2,
   0,
   0,
   1,
   0
  ],
  [
   2,
   0,
   1,
   0,
   0
  ],
  [
   2,
   1,
   0,
   0,
   0
  ],
  [
   3,
   0,
   0,
   0,
   0
  ]
 ]
}