An entry from the Catalogue of Lattices, which is a joint project of
Gabriele Nebe, RWTH Aachen University (nebe@math.rwth-aachen.de) and
Neil J. A. Sloane (njasloane@gmail.com)

Last modified Sat Oct 17 04:44:37 PM CEST 2026

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
GRAM
DIVISORS
MINIMAL_NORM
SUBGROUP_ORDER
SUBGROUP_GENERATORS
PROPERTIES
REFERENCES
LAST_LINE

• NAME
  ideal115L0
  

• DIMENSION
  88
  

• GRAM
  12 -4 2 -6 4 6 -2 -3 -4 3 -2 -4 0 -5 2 2 4 -1 -3 3 -3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 4 0 0 0 4 -4 -4 4 0 6 -2 1 -3 2 3 -1 -1 -2 1 -1
  -2 0 -2 1 1 2 0 -2 1 -1 -1
  -4 12 -3 5 -3 2 4 2 5 -3 4 2 -4 6 0 -3 4 -4 -3 -1 -3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 4 4 4 0 0 0 -4 4 0 0 0 0 0 -4 0 0 4 4 -4 0 -2 6 -1 3 -1 1 2 1 2 -1 2 1
  -2 3 0 -2 2 -2 -1 0 -2 -1
  2 -3 12 4 2 -4 2 4 -6 4 3 -4 4 -6 4 -4 2 -1 2 4 3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 -4 0 0 0 0 0 0 0 0 -4 0 0 0 0 0 0 4 0 0 4 0 1 -2 6 2 1 -2 1 2 -3 2 1 -2 2 -3 2
  -2 1 0 1 2 2 2
  -6 5 4 16 1 -3 6 1 3 1 5 4 -4 1 -2 -8 2 -5 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 -4 0 0 4 4 0 -4 -4 4 -4 0 0 -4 0 0 0 4 4 4 0 0 -3 2 2 8 1 -1 3 0 1 1 2 2 -2 0
  -1 -4 1 -2 1 1 0 -1
  4 -3 2 1 12 6 -2 -4 -5 3 -4 -3 0 -6 -2 -4 0 3 2 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 -4 0 -4 0 0 0 0 -4 -4 0 -4 0 0 0 0 0 4 0 0 4 0 2 -2 1 0 6 3 -1 -2 -3 1 -2
  -2 0 -3 -1 -2 0 2 1 2 0 0
  6 2 -4 -3 6 16 2 -3 -3 -1 -6 -2 -4 1 -3 0 4 1 0 4 -2 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 -4 0 0 0 4 -4 -4 0 0 0 4 4 0 0 4 0 0 0 0 3 1 -2 -2 3 8 1 -1 -2 -1 -3
  -1 -2 1 -1 0 2 1 0 2 -1 -3
  -2 4 2 6 -2 2 12 4 -2 -4 4 3 -4 0 3 -4 2 -3 0 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 4 0 0 -4 0 -1 2 1 3 -1 1 6 2 -1 -2 2 2 -2 0 2
  -2 1 -1 0 2 1 0
  -3 2 4 1 -4 -3 4 12 -5 -4 4 1 2 4 4 0 -3 2 -2 -2 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 -4 0 0 4 0 -4 0 0 4 0 0 4 0 0 0 0 -4 0 0 0 0 0 -2 1 2 1 -2 -2 2 6 -2 -2 2 1 1
  2 2 0 -2 1 -1 -1 2 1
  -4 5 -6 3 -5 -3 -2 -5 16 -3 0 6 -1 4 -5 3 1 -3 -3 -5 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 4 0 4 4 4 0 -4 0 4 0 0 -4 0 -4 -4 4 -4 4 4 -4 0 -2 3 -3 2 -2 -1 -1 -3
  8 -1 0 3 -1 2 -3 1 1 -2 -1 -2 -1 -1
  3 -3 4 1 3 -1 -4 -4 -3 12 -3 -3 3 -5 2 -2 2 -3 4 4 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 4 -4 0 -4 4 4 0 0 -4 0 -4 -4 4 -4 0 0 0 4 0 0 4 0 2 -2 2 0 2 0 -2 -2 -2 6 -2
  -2 2 -3 1 -1 1 -1 2 2 -1 1
  -2 4 3 5 -4 -6 4 4 0 -3 12 2 -2 0 2 -2 0 -4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 -1 2 2 3 -2 -3 2 2 0 -1 6 1 -1 0 1
  -1 0 -2 -2 0 0 0
  -4 2 -4 4 -3 -2 3 1 6 -3 2 12 -4 5 0 0 -4 0 0 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 4 0 -4 -4 0 4 0 0 0 -4 0 0 0 0 0 0 -4 0 -2 1 -2 2 -1 -1 1 0 3 -1 1 6
  -2 2 0 0 -2 0 0 -1 -1 0
  0 -4 4 -4 0 -4 -4 2 -1 3 -2 -4 12 -6 3 2 -2 4 2 -2 3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 -4 0 0 0 0 0 4 0 0 -2 2 -2 0 -2 -2 1 0 1 -1 -2
  6 -3 1 1 -1 2 1 -1 2 2
  -5 6 -6 1 -6 1 0 4 4 -5 0 5 -6 16 -4 0 -1 1 -1 -4 -1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 -4 0 0 4 0 -4 0 0 0 4 0 4 0 0 0 0 -4 -4 4 0 -4 0 -3 3 -3 1 -3 0 0 2 2 -2 0 3
  -3 8 -2 0 -1 0 0 -2 -1 -2
  2 0 4 -2 -2 -3 3 4 -5 2 2 0 3 -4 12 -2 2 1 -1 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 -4 -4 0 4 0 0 0 4 0 0 0 0 4 -4 -4 0 0 1 0 2 -1 -1 -2 1 2 -2 1 1 0 2 -2
  6 -1 1 1 -1 0 0 2
  2 -3 -4 -8 -4 0 -4 0 3 -2 -2 0 2 0 -2 12 -4 1 -4 -4 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 -4 0 0 0 4 1 -1 -2 -4 -2 0 -2 0 2 -1 -1
  0 1 0 -1 6 -2 0 -2 -2 0 0
  4 4 2 2 0 4 2 -3 1 2 0 -4 -2 -1 2 -4 12 -3 -2 4 -2 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 4 0 0 0 4 0 0 0 0 2 2 1 1 0 2 1 -1 0 1 0 -2 -1 0 1
  -2 6 -1 -1 2 -1 -2
  -1 -4 -1 -5 3 1 -3 2 -3 -3 -4 0 4 1 1 1 -3 12 0 -3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 -4 0 -4 -4 -4 -4 -4 0 4 -4 0 0 0 4 -4 4 -4 0 0 -4 0 0 -1 -2 -1 -3 1 0 -2 1
  -1 -2 -2 0 2 1 0 1 -2 6 0 -2 2 1
  -3 -3 2 1 2 0 0 -2 -3 4 -4 0 2 -1 -1 -4 -2 0 12 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 4 -4 0 -4 0 0 0 0 -4 0 0 0 0 -4 4 0 0 0 0 0 0 0 -1 -2 1 0 1 0 0 -1 -2 2 -2 0 1
  -1 0 -2 -1 0 6 2 0 2
  3 -1 4 1 4 4 4 -2 -5 4 0 -2 -2 -4 1 -4 4 -3 4 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 4 -4 0 -4 0 0 0 0 -4 0 0 0 0 0 4 0 0 4 0 0 0 0 2 -1 2 0 2 2 2 -1 -3 2 0 -1 -1
  -2 1 -2 2 -1 2 6 0 0
  -3 -3 3 0 -1 -2 3 4 -1 -3 0 -1 3 -1 0 0 -2 4 0 0 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 -4 4 -4 0 -4 0 4 0 4 -4 0 4 -4 4 0 0 0 0 0 0 0 0 -2 -1 1 0 -1 -1 2 2 0 -2 0 0
  1 0 0 0 -1 2 0 0 6 2
  -2 -2 4 -2 0 -6 0 2 -2 2 0 0 4 -4 4 -1 -4 2 4 0 4 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 0 0 0 0 0 0 -1 -1 2 -1 0 -3 0 1 -1 1 0 0 2 -2
  2 -1 -2 1 2 0 2 6
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 -4 2 -6 4 6 -2 -3 -4 3 -2 -4 0 -5 2 2 4 -1
  -3 3 -3 -2 6 -2 1 -3 2 3 -1 -2 -2 2 -1 -2 0 -3 1 1 2 -1 -1 2 -2 -1 0 0 0 0 0 0 0 4 0
  -4 0 0 0 4 0 0 0 4 -4 -4 4 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 12 -3 5 -3 2 4 2 5 -3 4 2 -4 6 0 -3 4 -4
  -3 -1 -3 -2 -2 6 -2 2 -2 1 2 1 3 -2 2 1 -2 3 0 -1 2 -2 -2 -1 -1 -1 0 0 4 4 4 0 0 0 -4
  4 0 0 0 0 0 -4 0 0 4 4 -4 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -3 12 4 2 -4 2 4 -6 4 3 -4 4 -6 4 -4 2 -1 2
  4 3 4 1 -1 6 2 1 -2 1 2 -3 2 2 -2 2 -3 2 -2 1 -1 1 2 1 2 0 -4 0 0 0 0 0 0 0 0 -4 0 0 0
  0 0 0 4 0 0 4 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -6 5 4 16 1 -3 6 1 3 1 5 4 -4 1 -2 -8 2 -5 1
  1 0 -2 -3 3 2 8 0 -2 3 1 2 0 3 2 -2 1 -1 -4 1 -3 0 0 0 -1 0 -4 0 0 4 4 0 -4 -4 4 -4 0
  0 -4 0 0 0 4 4 4 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 -3 2 1 12 6 -2 -4 -5 3 -4 -3 0 -6 -2 -4 0 3
  2 4 -1 0 2 -1 1 1 6 3 -1 -2 -2 2 -2 -1 0 -3 -1 -2 0 1 1 2 -1 0 0 -4 0 -4 0 0 0 0 -4 -4
  0 -4 0 0 0 0 0 4 0 0 4 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 2 -4 -3 6 16 2 -3 -3 -1 -6 -2 -4 1 -3 0 4 1
  0 4 -2 -6 3 1 -2 -1 3 8 1 -2 -1 0 -3 -1 -2 0 -2 0 2 0 0 2 -1 -3 0 0 0 -4 0 0 0 4 -4 -4
  0 0 0 4 4 0 0 4 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 4 2 6 -2 2 12 4 -2 -4 4 3 -4 0 3 -4 2 -3 0
  4 3 0 -1 2 1 3 -1 1 6 2 -1 -2 2 1 -2 0 1 -2 1 -2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4
  0 0 4 0 0 -4 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 2 4 1 -4 -3 4 12 -5 -4 4 1 2 4 4 0 -3 2 -2
  -2 4 2 -1 1 2 0 -2 -1 2 6 -3 -2 2 0 1 2 2 0 -1 1 -1 -1 2 1 -4 0 0 4 0 -4 0 0 4 0 0 4 0
  0 0 0 -4 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 5 -6 3 -5 -3 -2 -5 16 -3 0 6 -1 4 -5 3 1
  -3 -3 -5 -1 -2 -2 2 -3 1 -3 -2 -1 -2 8 -2 0 3 0 2 -2 2 0 -1 -2 -3 0 -1 0 4 0 4 4 4 0
  -4 0 4 0 0 -4 0 -4 -4 4 -4 4 4 -4 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 4 1 3 -1 -4 -4 -3 12 -3 -3 3 -5 2 -2 2
  -3 4 4 -3 2 1 -1 2 1 1 -1 -2 -2 -1 6 -1 -1 1 -2 1 -1 1 -2 2 2 -2 1 4 -4 0 -4 4 4 0 0
  -4 0 -4 -4 4 -4 0 0 0 4 0 0 4 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 4 3 5 -4 -6 4 4 0 -3 12 2 -2 0 2 -2 0 -4
  -4 0 0 0 -1 2 1 2 -2 -3 2 2 0 -2 6 1 -1 0 1 -1 0 -2 -2 0 0 0 0 0 4 4 0 0 0 0 0 4 0 0 0
  0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 2 -4 4 -3 -2 3 1 6 -3 2 12 -4 5 0 0 -4 0 0
  -2 -1 0 -2 1 -2 2 -2 -1 2 1 3 -2 1 6 -2 3 0 0 -2 0 0 -1 0 0 0 0 0 0 4 0 -4 -4 0 4 0 0
  0 -4 0 0 0 0 0 0 -4 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 4 -4 0 -4 -4 2 -1 3 -2 -4 12 -6 3 2 -2 4
  2 -2 3 4 0 -2 2 -2 0 -2 -2 1 -1 2 -1 -2 6 -3 2 1 -1 2 1 -1 1 2 0 0 0 0 0 0 0 0 4 -4 0
  0 0 0 -4 0 0 0 0 0 4 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5 6 -6 1 -6 1 0 4 4 -5 0 5 -6 16 -4 0 -1 1
  -1 -4 -1 -4 -2 3 -3 0 -3 1 0 2 2 -3 0 2 -3 8 -2 0 0 1 -1 -2 0 -2 -4 0 0 4 0 -4 0 0 0 4
  0 4 0 0 0 0 -4 -4 4 0 -4 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 4 -2 -2 -3 3 4 -5 2 2 0 3 -4 12 -2 2 1 -1
  1 0 4 1 0 2 -1 -1 -1 2 2 -3 1 1 0 1 -2 6 -1 1 0 0 1 0 2 0 0 0 0 0 -4 -4 0 4 0 0 0 4 0
  0 0 0 4 -4 -4 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -3 -4 -8 -4 0 -4 0 3 -2 -2 0 2 0 -2 12 -4 1
  -4 -4 0 -1 1 -2 -2 -4 -2 0 -2 0 1 -1 -1 0 1 0 -1 6 -2 1 -2 -2 0 -1 0 4 0 0 0 0 0 0 4 0
  0 0 0 0 0 0 0 -4 0 0 0 4
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 2 2 0 4 2 -3 1 2 0 -4 -2 -1 2 -4 12 -3 -2
  4 -2 -4 2 2 1 1 0 2 1 -2 1 1 0 -2 -1 -1 1 -2 6 -2 -1 2 -1 -2 0 0 0 0 0 0 0 4 -4 0 0 0
  0 4 0 0 0 4 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -4 -1 -5 3 1 -3 2 -3 -3 -4 0 4 1 1 1 -3 12
  0 -3 4 2 0 -2 0 -2 2 1 -1 1 -2 -1 -2 0 2 0 1 0 -1 6 0 -1 2 1 -4 0 -4 -4 -4 -4 -4 0 4
  -4 0 0 0 4 -4 4 -4 0 0 -4 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 -3 2 1 2 0 0 -2 -3 4 -4 0 2 -1 -1 -4 -2 0
  12 4 0 4 -2 -1 1 1 1 0 0 -1 -1 2 -2 0 1 0 -1 -2 -1 0 6 2 0 2 4 -4 0 -4 0 0 0 0 -4 0 0
  0 0 -4 4 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -1 4 1 4 4 4 -2 -5 4 0 -2 -2 -4 1 -4 4 -3 4
  12 0 0 1 0 2 1 2 2 2 -1 -2 2 0 -1 -1 -2 0 -2 2 -2 2 6 0 0 4 -4 0 -4 0 0 0 0 -4 0 0 0 0
  0 4 0 0 4 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 -3 3 0 -1 -2 3 4 -1 -3 0 -1 3 -1 0 0 -2 4
  0 0 12 4 -1 -2 2 0 0 -1 1 2 -1 -1 0 -1 2 -1 0 0 -1 2 0 0 6 2 -4 4 -4 0 -4 0 4 0 4 -4 0
  4 -4 4 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 -2 4 -2 0 -6 0 2 -2 2 0 0 4 -4 4 -1 -4 2 4
  0 4 12 -1 -1 2 -1 0 -3 0 1 -1 1 0 0 2 -2 2 0 -2 1 2 0 2 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 -4 0 0 0 0 0 0
  0 0 0 0 0 0 0 -4 0 4 0 0 0 -4 0 0 0 -4 4 4 -4 0 6 -2 1 -3 2 3 -1 -1 -2 1 -1 -2 0 -2 1 1 2
  0 -2 1 -1 -1 12 -4 2 -6 4 6 -2 -3 -4 3 -2 -4 0 -5 2 2 4 -1 -3 3 -3 -2 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 -4 -4 -4 0 0 0 4 -4 0 0 0 0 0 4 0 0 -4 -4 4 0 -2 6 -1 3 -1 1 2 1 2 -1 2 1 -2 3 0 -2 2
  -2 -1 0 -2 -1 -4 12 -3 5 -3 2 4 2 5 -3 4 2 -4 6 0 -3 4 -4 -3 -1 -3 -2 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 -4 0 0 -4 0 1 -2 6 2 1 -2 1 2 -3 2 1 -2 2 -3 2 -2 1 0 1
  2 2 2 2 -3 12 4 2 -4 2 4 -6 4 3 -4 4 -6 4 -4 2 -1 2 4 3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0
  0 4 0 0 -4 -4 0 4 4 -4 4 0 0 4 0 0 0 -4 -4 -4 0 0 -3 2 2 8 1 -1 3 0 1 1 2 2 -2 0 -1 -4 1
  -2 1 1 0 -1 -6 5 4 16 1 -3 6 1 3 1 5 4 -4 1 -2 -8 2 -5 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0
  0 4 0 4 0 0 0 0 4 4 0 4 0 0 0 0 0 -4 0 0 -4 0 2 -2 1 0 6 3 -1 -2 -3 1 -2 -2 0 -3 -1 -2 0
  2 1 2 0 0 4 -3 2 1 12 6 -2 -4 -5 3 -4 -3 0 -6 -2 -4 0 3 2 4 -1 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0
  0 0 0 4 0 0 0 -4 4 4 0 0 0 -4 -4 0 0 -4 0 0 0 0 3 1 -2 -2 3 8 1 -1 -2 -1 -3 -1 -2 1 -1 0
  2 1 0 2 -1 -3 6 2 -4 -3 6 16 2 -3 -3 -1 -6 -2 -4 1 -3 0 4 1 0 4 -2 -6 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 -4 0 0 -4 0 0 -4 0 0 4 0 -1 2 1 3 -1 1 6 2 -1 -2 2 2 -2 0 2 -2 1 -1
  0 2 1 0 -2 4 2 6 -2 2 12 4 -2 -4 4 3 -4 0 3 -4 2 -3 0 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0
  4 0 0 -4 0 4 0 0 -4 0 0 -4 0 0 0 0 4 0 0 0 0 0 -2 1 2 1 -2 -2 2 6 -2 -2 2 1 1 2 2 0 -2 1
  -1 -1 2 1 -3 2 4 1 -4 -3 4 12 -5 -4 4 1 2 4 4 0 -3 2 -2 -2 4 2 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0
  0 -4 0 -4 -4 -4 0 4 0 -4 0 0 4 0 4 4 -4 4 -4 -4 4 0 -2 3 -3 2 -2 -1 -1 -3 8 -1 0 3 -1 2
  -3 1 1 -2 -1 -2 -1 -1 -4 5 -6 3 -5 -3 -2 -5 16 -3 0 6 -1 4 -5 3 1 -3 -3 -5 -1 -2 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  -4 4 0 4 -4 -4 0 0 4 0 4 4 -4 4 0 0 0 -4 0 0 -4 0 2 -2 2 0 2 0 -2 -2 -2 6 -2 -2 2 -3 1 -1
  1 -1 2 2 -1 1 3 -3 4 1 3 -1 -4 -4 -3 12 -3 -3 3 -5 2 -2 2 -3 4 4 -3 2 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 -4 -4 0 0 0 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 -1 2 2 3 -2 -3 2 2 0 -1 6 1 -1 0 1 -1 0 -2
  -2 0 0 0 -2 4 3 5 -4 -6 4 4 0 -3 12 2 -2 0 2 -2 0 -4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0
  0 0 0 0 -4 0 4 4 0 -4 0 0 0 4 0 0 0 0 0 0 4 0 -2 1 -2 2 -1 -1 1 0 3 -1 1 6 -2 2 0 0 -2 0
  0 -1 -1 0 -4 2 -4 4 -3 -2 3 1 6 -3 2 12 -4 5 0 0 -4 0 0 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 -4 4 0 0 0 0 4 0 0 0 0 0 -4 0 0 -2 2 -2 0 -2 -2 1 0 1 -1 -2 6 -3 1 1 -1 2
  1 -1 2 2 0 -4 4 -4 0 -4 -4 2 -1 3 -2 -4 12 -6 3 2 -2 4 2 -2 3 4 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0
  4 0 0 -4 0 4 0 0 0 -4 0 -4 0 0 0 0 4 4 -4 0 4 0 -3 3 -3 1 -3 0 0 2 2 -2 0 3 -3 8 -2 0 -1
  0 0 -2 -1 -2 -5 6 -6 1 -6 1 0 4 4 -5 0 5 -6 16 -4 0 -1 1 -1 -4 -1 -4 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 4 4 0 -4 0 0 0 -4 0 0 0 0 -4 4 4 0 0 1 0 2 -1 -1 -2 1 2 -2 1 1 0 2 -2 6 -1 1 1
  -1 0 0 2 2 0 4 -2 -2 -3 3 4 -5 2 2 0 3 -4 12 -2 2 1 -1 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0
  0 -4 0 0 0 0 0 0 -4 0 0 0 0 0 0 0 0 4 0 0 0 -4 1 -1 -2 -4 -2 0 -2 0 2 -1 -1 0 1 0 -1 6 -2
  0 -2 -2 0 0 2 -3 -4 -8 -4 0 -4 0 3 -2 -2 0 2 0 -2 12 -4 1 -4 -4 0 -1 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 -4 4 0 0 0 0 -4 0 0 0 -4 0 0 0 0 2 2 1 1 0 2 1 -1 0 1 0 -2 -1 0 1 -2 6 -1
  -1 2 -1 -2 4 4 2 2 0 4 2 -3 1 2 0 -4 -2 -1 2 -4 12 -3 -2 4 -2 -4 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0
  4 0 4 4 4 4 4 0 -4 4 0 0 0 -4 4 -4 4 0 0 4 0 0 -1 -2 -1 -3 1 0 -2 1 -1 -2 -2 0 2 1 0 1 -2
  6 0 -2 2 1 -1 -4 -1 -5 3 1 -3 2 -3 -3 -4 0 4 1 1 1 -3 12 0 -3 4 2 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0
  -4 4 0 4 0 0 0 0 4 0 0 0 0 4 -4 0 0 0 0 0 0 0 -1 -2 1 0 1 0 0 -1 -2 2 -2 0 1 -1 0 -2 -1 0
  6 2 0 2 -3 -3 2 1 2 0 0 -2 -3 4 -4 0 2 -1 -1 -4 -2 0 12 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0
  -4 4 0 4 0 0 0 0 4 0 0 0 0 0 -4 0 0 -4 0 0 0 0 2 -1 2 0 2 2 2 -1 -3 2 0 -1 -1 -2 1 -2 2
  -1 2 6 0 0 3 -1 4 1 4 4 4 -2 -5 4 0 -2 -2 -4 1 -4 4 -3 4 12 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0
  4 -4 4 0 4 0 -4 0 -4 4 0 -4 4 -4 0 0 0 0 0 0 0 0 -2 -1 1 0 -1 -1 2 2 0 -2 0 0 1 0 0 0 -1
  2 0 0 6 2 -3 -3 3 0 -1 -2 3 4 -1 -3 0 -1 3 -1 0 0 -2 4 0 0 12 4 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 -1 -1 2 -1 0 -3 0 1 -1 1 0 0 2 -2 2 -1 -2 1 2
  0 2 6 -2 -2 4 -2 0 -6 0 2 -2 2 0 0 4 -4 4 -1 -4 2 4 0 4 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0
  6 -2 1 -3 2 3 -1 -2 -2 2 -1 -2 0 -3 1 1 2 -1 -1 2 -2 -1 0 0 0 0 0 0 0 -4 0 4 0 0 0 -4 0 0
  0 -4 4 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 -4 2 -6 4 6 -2 -3 -4 3 -2
  -4 0 -5 2 2 4 -1 -3 3 -3 -2
  -2 6 -2 2 -2 1 2 1 3 -2 2 1 -2 3 0 -1 2 -2 -2 -1 -1 -1 0 0 -4 -4 -4 0 0 0 4 -4 0 0 0 0 0
  4 0 0 -4 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 12 -3 5 -3 2 4 2 5 -3 4
  2 -4 6 0 -3 4 -4 -3 -1 -3 -2
  1 -1 6 2 1 -2 1 2 -3 2 2 -2 2 -3 2 -2 1 -1 1 2 1 2 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 -4 0
  0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -3 12 4 2 -4 2 4 -6 4 3 -4 4 -6 4
  -4 2 -1 2 4 3 4
  -3 3 2 8 0 -2 3 1 2 0 3 2 -2 1 -1 -4 1 -3 0 0 0 -1 0 4 0 0 -4 -4 0 4 4 -4 4 0 0 4 0 0 0
  -4 -4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -6 5 4 16 1 -3 6 1 3 1 5 4 -4
  1 -2 -8 2 -5 1 1 0 -2
  2 -1 1 1 6 3 -1 -2 -2 2 -2 -1 0 -3 -1 -2 0 1 1 2 -1 0 0 4 0 4 0 0 0 0 4 4 0 4 0 0 0 0 0
  -4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 -3 2 1 12 6 -2 -4 -5 3 -4 -3
  0 -6 -2 -4 0 3 2 4 -1 0
  3 1 -2 -1 3 8 1 -2 -1 0 -3 -1 -2 0 -2 0 2 0 0 2 -1 -3 0 0 0 4 0 0 0 -4 4 4 0 0 0 -4 -4 0
  0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 2 -4 -3 6 16 2 -3 -3 -1 -6
  -2 -4 1 -3 0 4 1 0 4 -2 -6
  -1 2 1 3 -1 1 6 2 -1 -2 2 1 -2 0 1 -2 1 -2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 -4 0 0 -4 0 0 -4
  0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 4 2 6 -2 2 12 4 -2 -4 4 3 -4 0
  3 -4 2 -3 0 4 3 0
  -1 1 2 0 -2 -1 2 6 -3 -2 2 0 1 2 2 0 -1 1 -1 -1 2 1 4 0 0 -4 0 4 0 0 -4 0 0 -4 0 0 0 0 4
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 2 4 1 -4 -3 4 12 -5 -4 4 1 2
  4 4 0 -3 2 -2 -2 4 2
  -2 2 -3 1 -3 -2 -1 -2 8 -2 0 3 0 2 -2 2 0 -1 -2 -3 0 -1 0 -4 0 -4 -4 -4 0 4 0 -4 0 0 4 0
  4 4 -4 4 -4 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 5 -6 3 -5 -3 -2 -5
  16 -3 0 6 -1 4 -5 3 1 -3 -3 -5 -1 -2
  1 -1 2 1 1 -1 -2 -2 -1 6 -1 -1 1 -2 1 -1 1 -2 2 2 -2 1 -4 4 0 4 -4 -4 0 0 4 0 4 4 -4 4 0
  0 0 -4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 4 1 3 -1 -4 -4 -3 12
  -3 -3 3 -5 2 -2 2 -3 4 4 -3 2
  -1 2 1 2 -2 -3 2 2 0 -2 6 1 -1 0 1 -1 0 -2 -2 0 0 0 0 0 -4 -4 0 0 0 0 0 -4 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 4 3 5 -4 -6 4 4 0 -3 12 2 -2
  0 2 -2 0 -4 -4 0 0 0
  -2 1 -2 2 -2 -1 2 1 3 -2 1 6 -2 3 0 0 -2 0 0 -1 0 0 0 0 0 0 -4 0 4 4 0 -4 0 0 0 4 0 0 0 0
  0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 2 -4 4 -3 -2 3 1 6 -3 2 12 -4 5
  0 0 -4 0 0 -2 -1 0
  0 -2 2 -2 0 -2 -2 1 -1 2 -1 -2 6 -3 2 1 -1 2 1 -1 1 2 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 4 0 0
  0 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 4 -4 0 -4 -4 2 -1 3 -2 -4
  12 -6 3 2 -2 4 2 -2 3 4
  -2 3 -3 0 -3 1 0 2 2 -3 0 2 -3 8 -2 0 0 1 -1 -2 0 -2 4 0 0 -4 0 4 0 0 0 -4 0 -4 0 0 0 0 4
  4 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5 6 -6 1 -6 1 0 4 4 -5 0 5 -6
  16 -4 0 -1 1 -1 -4 -1 -4
  1 0 2 -1 -1 -1 2 2 -3 1 1 0 1 -2 6 -1 1 0 0 1 0 2 0 0 0 0 0 4 4 0 -4 0 0 0 -4 0 0 0 0 -4
  4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 4 -2 -2 -3 3 4 -5 2 2 0 3 -4
  12 -2 2 1 -1 1 0 4
  1 -2 -2 -4 -2 0 -2 0 1 -1 -1 0 1 0 -1 6 -2 1 -2 -2 0 -1 0 -4 0 0 0 0 0 0 -4 0 0 0 0 0 0 0
  0 4 0 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -3 -4 -8 -4 0 -4 0 3 -2 -2
  0 2 0 -2 12 -4 1 -4 -4 0 -1
  2 2 1 1 0 2 1 -2 1 1 0 -2 -1 -1 1 -2 6 -2 -1 2 -1 -2 0 0 0 0 0 0 0 -4 4 0 0 0 0 -4 0 0 0
  -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 2 2 0 4 2 -3 1 2 0 -4 -2 -1
  2 -4 12 -3 -2 4 -2 -4
  0 -2 0 -2 2 1 -1 1 -2 -1 -2 0 2 0 1 0 -1 6 0 -1 2 1 4 0 4 4 4 4 4 0 -4 4 0 0 0 -4 4 -4 4
  0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -4 -1 -5 3 1 -3 2 -3 -3 -4 0
  4 1 1 1 -3 12 0 -3 4 2
  -2 -1 1 1 1 0 0 -1 -1 2 -2 0 1 0 -1 -2 -1 0 6 2 0 2 -4 4 0 4 0 0 0 0 4 0 0 0 0 4 -4 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 -3 2 1 2 0 0 -2 -3 4 -4 0 2 -1
  -1 -4 -2 0 12 4 0 4
  1 0 2 1 2 2 2 -1 -2 2 0 -1 -1 -2 0 -2 2 -2 2 6 0 0 -4 4 0 4 0 0 0 0 4 0 0 0 0 0 -4 0 0 -4
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -1 4 1 4 4 4 -2 -5 4 0 -2 -2 -4
  1 -4 4 -3 4 12 0 0
  -1 -2 2 0 0 -1 1 2 -1 -1 0 -1 2 -1 0 0 -1 2 0 0 6 2 4 -4 4 0 4 0 -4 0 -4 4 0 -4 4 -4 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 -3 3 0 -1 -2 3 4 -1 -3 0 -1
  3 -1 0 0 -2 4 0 0 12 4
  -1 -1 2 -1 0 -3 0 1 -1 1 0 0 2 -2 2 0 -2 1 2 0 2 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 -2 4 -2 0 -6 0 2 -2 2 0 0 4 -4 4
  -1 -4 2 4 0 4 12
  
  

• DIVISORS
  1
  

• MINIMAL_NORM
  8
  

• SUBGROUP_ORDER
  5*23
  

• SUBGROUP_GENERATORS
  2
  88 88
  1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 2 1 -6 -2 -3 -4 -5 -2 -4 3 0 -4 -2 -1 -3
  1 0 2 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5 -7 -2 -1 6 2 3 4 5 2 4 -3 0
  4 2 1 3 -1 0 -2 -1 2
  0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 -7 -2 -3 2 2 2 5 6 3 3 -3 -3 -1 1 -1 1 0 1
  -2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 3 -2 -2 -2 -5 -6 -3 -3 3 3 1
  -1 1 -1 0 -1 2 0 0
  0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 1 -1 -1 3 0 0 -4 -4 -2 1 3 4 3 0 2 2 -4 -1
  -1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -1 -4 1 -3 0 0 4 4 2 -1 -3 -4 -3
  0 -2 -2 4 1 1 0 -1
  0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -4 -1 -6 5 0 3 5 6 2 3 -3 -1 2 1 -1 1 -2 1
  -2 -1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 1 1 -5 0 -3 -5 -6 -2 -3 3 1 -2
  -1 1 -1 2 -1 2 1 0
  0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 0 0 -3 -1 0 2 1 2 -1 1 -1 -2 -1 0 -1 1 1
  0 0 -1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 -3 0 0 -2 1 0 -2 -1 -2 1 -1 1 2
  1 0 1 -1 -1 0 0 1
  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 -5 -2 0 2 2 3 -1 -1 -3 -5 -3 -3 -3 3
  0 0 0 -1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 -2 0 0 5 -3 0 -2 -2 -3 1 1 3 5
  3 3 3 -3 0 0 0 1
  0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 2 -1 -2 0 -1 0 0 0 1 1 -1 0 1 -3 0
  -1 2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 1 -3 0 1 0 0 0 -1 -1 1 0
  -1 3 0 1 -2 0
  0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -2 -1 -1 2 1 1 -3 -2 0 2 1 2 2 -1 1 4 -2 0
  -2 0 2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 -2 -1 -1 -2 2 0 -2 -1 -2 -2
  1 -1 -4 2 0 2 0 -2
  0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 -2 0 0 0 -1 -1 -1 -2 0 0 2 -1 -3 1
  -1 1 0 -1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 2 0 0 0 -4 1 1 2 0 0
  -2 1 3 -1 1 -1 0 1
  0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 1 -1 1 -2 -2 -1 -4 0 1 0 1 1 1 0 -1 -1
  1 -1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 -2 -1 1 -1 2 2 1 -1 0 -1 0 -1
  -1 -1 0 1 1 -1 1 -1
  0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 -1 -2 -3 -1 3 -1 0 1 -1 -2 -2 1 2 1 0 0 3 -3
  0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 1 -3 1 0 -1 1 2 -3 -1 -2 -1
  0 0 -3 3 0 0 0 -1
  0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 4 1 -2 4 -3 -1 -1 -1 -2 -3 -2 -3 2 1 0 0 -1 0
  0 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 -4 -1 2 -4 3 1 1 1 2 3 2 -2 -2 -1
  0 0 1 0 0 -2 -1 -1
  0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 -4 -4 0 0 3 2 2 -2 -1 1 2 0 0 4 2 2 2 -2 -2
  -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 4 4 0 0 -3 -2 -2 2 1 -1 -2 0 -5 -4
  -2 -2 -2 2 2 1 2 -2
  0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 -1 -1 1 -3 2 -1 2 3 0 1 -3 -2 -4 0 -2 -1 3
  0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 -2 1 1 -1 3 -2 1 -2 -3 0 -1 3 2 -1
  0 2 1 -3 0 -1 0 -1
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -3 -3 0 -1 3 2 1 0 0 0 2 0 0 2 -1 2 2 -3 1 -1
  0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 3 3 0 1 -3 -2 -1 0 0 0 -2 0 0 -2 -4 -2
  -2 3 -1 1 0 -1
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 4 1 2 -5 -2 -2 -4 -6 -2 -3 3 1 -2 -2 -3 -1
  2 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 -2 -4 -1 -2 5 2 2 4 6 2 3 -3
  -1 2 2 -2 1 -2 1 -1 -1 2
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 -3 -1 3 -3 0 2 0 -1 2 0 0 0 -1 -1 1 -2 -4 -2
  -1 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 3 1 -3 3 0 -2 0 1 -2 0 0 0 1 1
  -1 2 -1 2 1 1 0 1
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 -1 -1 2 1 1 1 0 0 1 1 0 1 1 1 1 1 -2 0 0 0
  1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 -1 1 1 -2 -1 -1 -1 0 0 -1 -1 0 -1 -1 -1
  -1 -1 -3 0 0 0 -1
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 -3 -4 0 0 4 2 3 1 4 2 3 -3 1 4 1 2 1 0 -3 0
  -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 3 4 0 0 -4 -2 -3 -1 -4 -2 -3 3 -1 -4
  -1 -2 -1 0 -2 0 2 -2
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 4 2 2 -3 0 -4 -4 -6 -4 -4 4 3 -1 -2 0 0 -3
  -3 -1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 -4 -2 -2 3 0 4 4 6 4 4 -4 -3 1
  2 0 0 3 3 -4 -1 -1
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -2 -1 3 2 1 -2 -2 -3 -2 1 1 4 3 1 2 2 -3 -1
  0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 -3 -2 -1 2 2 3 2 -1 -1 -4 -3
  -1 -2 -2 3 1 0 -3 -2
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 3 4 -1 0 -3 -3 -2 1 1 3 4 2 6 3 -2 1 0
  1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 -3 -4 1 0 3 3 2 -1 -1 -3 -4 -2
  -6 -3 2 -1 0 -1 -4
  5 7 2 1 -6 -2 -3 -4 -5 -2 -4 3 0 -4 -2 -1 -3 1 0 2 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 7 2 1 -6 -2 -3 -4 -5 -2 -4 3 0 -4 -2 -1 -3 1 0 2 1 -2 -1 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0
  -2 -2 -2 -3 2 2 2 5 6 3 3 -3 -3 -1 1 -1 1 0 1 -2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 -2 -7 -2 -3 2 2 2 5 6 3 3 -3 -3 -1 1 -1 1 0 1 -2 0 0 0 -1 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0
  -2 1 4 -1 3 0 0 -4 -4 -2 1 3 4 3 0 2 2 -4 -1 -1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 -2 1 -1 -1 3 0 0 -4 -4 -2 1 3 4 3 0 2 2 -4 -1 -1 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0
  -1 -4 -1 -1 5 0 3 5 6 2 3 -3 -1 2 1 -1 1 -2 1 -2 -1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 -1 -4 -1 -6 5 0 3 5 6 2 3 -3 -1 2 1 -1 1 -2 1 -2 -1 0 0 0 0 -1 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0
  2 3 0 0 2 -1 0 2 1 2 -1 1 -1 -2 -1 0 -1 1 1 0 0 -1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 2 3 0 0 -3 -1 0 2 1 2 -1 1 -1 -2 -1 0 -1 1 1 0 0 -1 0 0 0 0 -1 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0
  2 2 0 0 -5 3 0 2 2 3 -1 -1 -3 -5 -3 -3 -3 3 0 0 0 -1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 2 2 0 0 -5 -2 0 2 2 3 -1 -1 -3 -5 -3 -3 -3 3 0 0 0 -1 0 0 0 0 0 -1 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0
  0 0 -1 -1 2 -1 3 0 -1 0 0 0 1 1 -1 0 1 -3 0 -1 2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 -1 -1 2 -1 -2 0 -1 0 0 0 1 1 -1 0 1 -3 0 -1 2 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0
  -1 -2 -1 -1 2 1 1 2 -2 0 2 1 2 2 -1 1 4 -2 0 -2 0 2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 -1 -2 -1 -1 2 1 1 -3 -2 0 2 1 2 2 -1 1 4 -2 0 -2 0 2 0 0 0 0 0 0 0 -1 0 0 0 0 0
  0 0 0 0 0 0 0 0 0
  1 -1 0 1 -2 0 0 0 4 -1 -1 -2 0 0 2 -1 -3 1 -1 1 0 -1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
  0 0 0 0 1 -1 0 1 -2 0 0 0 -1 -1 -1 -2 0 0 2 -1 -3 1 -1 1 0 -1 0 0 0 0 0 0 0 0 -1 0 0 0
  0 0 0 0 0 0 0 0 0 0
  -2 0 2 1 -1 1 -2 -2 -1 1 0 1 0 1 1 1 0 -1 -1 1 -1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
  0 0 0 -2 0 2 1 -1 1 -2 -2 -1 -4 0 1 0 1 1 1 0 -1 -1 1 -1 1 0 0 0 0 0 0 0 0 0 -1 0 0 0
  0 0 0 0 0 0 0 0 0
  -1 -2 -3 -1 3 -1 0 1 -1 -2 3 1 2 1 0 0 3 -3 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
  0 0 0 -1 -2 -3 -1 3 -1 0 1 -1 -2 -2 1 2 1 0 0 3 -3 0 0 0 1 0 0 0 0 0 0 0 0 0 0 -1 0 0
  0 0 0 0 0 0 0 0 0
  4 1 -2 4 -3 -1 -1 -1 -2 -3 -2 2 2 1 0 0 -1 0 0 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
  0 0 0 0 4 1 -2 4 -3 -1 -1 -1 -2 -3 -2 -3 2 1 0 0 -1 0 0 2 1 1 0 0 0 0 0 0 0 0 0 0 0 -1
  0 0 0 0 0 0 0 0 0 0
  -4 -4 0 0 3 2 2 -2 -1 1 2 0 5 4 2 2 2 -2 -2 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
  0 0 0 -4 -4 0 0 3 2 2 -2 -1 1 2 0 0 4 2 2 2 -2 -2 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 -1 0
  0 0 0 0 0 0 0 0
  2 -1 -1 1 -3 2 -1 2 3 0 1 -3 -2 1 0 -2 -1 3 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
  0 0 0 2 -1 -1 1 -3 2 -1 2 3 0 1 -3 -2 -4 0 -2 -1 3 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
  -1 0 0 0 0 0 0 0 0
  -3 -3 0 -1 3 2 1 0 0 0 2 0 0 2 4 2 2 -3 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
  0 0 -3 -3 0 -1 3 2 1 0 0 0 2 0 0 2 -1 2 2 -3 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0
  0 0 0 0 0 0
  2 4 1 2 -5 -2 -2 -4 -6 -2 -3 3 1 -2 -2 2 -1 2 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
  0 0 0 0 0 2 4 1 2 -5 -2 -2 -4 -6 -2 -3 3 1 -2 -2 -3 -1 2 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 -1 0 0 0 0 0 0
  -3 -1 3 -3 0 2 0 -1 2 0 0 0 -1 -1 1 -2 1 -2 -1 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
  0 0 0 0 0 -3 -1 3 -3 0 2 0 -1 2 0 0 0 -1 -1 1 -2 -4 -2 -1 -1 0 -1 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 -1 0 0 0 0 0
  1 -1 -1 2 1 1 1 0 0 1 1 0 1 1 1 1 1 3 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
  1 -1 -1 2 1 1 1 0 0 1 1 0 1 1 1 1 1 -2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0
  0 0 0
  -3 -4 0 0 4 2 3 1 4 2 3 -3 1 4 1 2 1 0 2 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
  0 -3 -4 0 0 4 2 3 1 4 2 3 -3 1 4 1 2 1 0 -3 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  -1 0 0 0
  -1 4 2 2 -3 0 -4 -4 -6 -4 -4 4 3 -1 -2 0 0 -3 -3 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 1 0 0 -1 4 2 2 -3 0 -4 -4 -6 -4 -4 4 3 -1 -2 0 0 -3 -3 -1 1 1 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 -1 0 0
  0 -2 -1 3 2 1 -2 -2 -3 -2 1 1 4 3 1 2 2 -3 -1 0 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 1 0 0 -2 -1 3 2 1 -2 -2 -3 -2 1 1 4 3 1 2 2 -3 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 -1 0
  0 0 -1 3 4 -1 0 -3 -3 -2 1 1 3 4 2 6 3 -2 1 0 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 1 0 0 -1 3 4 -1 0 -3 -3 -2 1 1 3 4 2 6 3 -2 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 -1
  4 7 2 1 -6 -2 -3 -4 -5 -2 -4 3 0 -4 -2 -1 -3 1 0 2 1 -2 -4 -7 -2 -1 6 2 3 4 5 2 4 -3 0 4
  2 1 3 -1 0 -2 -1 2 1 7 2 1 -6 -2 -3 -4 -5 -2 -4 3 0 -4 -2 -1 -3 1 0 2 1 -2 -1 -7 -2 -1
  6 2 3 4 5 2 4 -3 0 4 2 1 3 -1 0 -2 -1 2
  -2 -3 -2 -3 2 2 2 5 6 3 3 -3 -3 -1 1 -1 1 0 1 -2 0 0 2 3 2 3 -2 -2 -2 -5 -6 -3 -3 3 3 1
  -1 1 -1 0 -1 2 0 0 -2 -6 -2 -3 2 2 2 5 6 3 3 -3 -3 -1 1 -1 1 0 1 -2 0 0 2 6 2 3 -2 -2
  -2 -5 -6 -3 -3 3 3 1 -1 1 -1 0 -1 2 0 0
  -2 1 3 -1 3 0 0 -4 -4 -2 1 3 4 3 0 2 2 -4 -1 -1 0 1 2 -1 -3 1 -3 0 0 4 4 2 -1 -3 -4 -3 0
  -2 -2 4 1 1 0 -1 -2 1 0 -1 3 0 0 -4 -4 -2 1 3 4 3 0 2 2 -4 -1 -1 0 1 2 -1 0 1 -3 0 0 4
  4 2 -1 -3 -4 -3 0 -2 -2 4 1 1 0 -1
  -1 -4 -1 -2 5 0 3 5 6 2 3 -3 -1 2 1 -1 1 -2 1 -2 -1 0 1 4 1 2 -5 0 -3 -5 -6 -2 -3 3 1 -2
  -1 1 -1 2 -1 2 1 0 -1 -4 -1 -5 5 0 3 5 6 2 3 -3 -1 2 1 -1 1 -2 1 -2 -1 0 1 4 1 5 -5 0
  -3 -5 -6 -2 -3 3 1 -2 -1 1 -1 2 -1 2 1 0
  2 3 0 0 1 -1 0 2 1 2 -1 1 -1 -2 -1 0 -1 1 1 0 0 -1 -2 -3 0 0 -1 1 0 -2 -1 -2 1 -1 1 2 1 0
  1 -1 -1 0 0 1 2 3 0 0 -2 -1 0 2 1 2 -1 1 -1 -2 -1 0 -1 1 1 0 0 -1 -2 -3 0 0 2 1 0 -2
  -1 -2 1 -1 1 2 1 0 1 -1 -1 0 0 1
  2 2 0 0 -5 2 0 2 2 3 -1 -1 -3 -5 -3 -3 -3 3 0 0 0 -1 -2 -2 0 0 5 -2 0 -2 -2 -3 1 1 3 5 3
  3 3 -3 0 0 0 1 2 2 0 0 -5 -1 0 2 2 3 -1 -1 -3 -5 -3 -3 -3 3 0 0 0 -1 -2 -2 0 0 5 1 0
  -2 -2 -3 1 1 3 5 3 3 3 -3 0 0 0 1
  0 0 -1 -1 2 -1 2 0 -1 0 0 0 1 1 -1 0 1 -3 0 -1 2 0 0 0 1 1 -2 1 -2 0 1 0 0 0 -1 -1 1 0 -1
  3 0 1 -2 0 0 0 -1 -1 2 -1 -1 0 -1 0 0 0 1 1 -1 0 1 -3 0 -1 2 0 0 0 1 1 -2 1 1 0 1 0 0
  0 -1 -1 1 0 -1 3 0 1 -2 0
  -1 -2 -1 -1 2 1 1 1 -2 0 2 1 2 2 -1 1 4 -2 0 -2 0 2 1 2 1 1 -2 -1 -1 -1 2 0 -2 -1 -2 -2 1
  -1 -4 2 0 2 0 -2 -1 -2 -1 -1 2 1 1 -2 -2 0 2 1 2 2 -1 1 4 -2 0 -2 0 2 1 2 1 1 -2 -1 -1
  2 2 0 -2 -1 -2 -2 1 -1 -4 2 0 2 0 -2
  1 -1 0 1 -2 0 0 0 3 -1 -1 -2 0 0 2 -1 -3 1 -1 1 0 -1 -1 1 0 -1 2 0 0 0 -3 1 1 2 0 0 -2 1
  3 -1 1 -1 0 1 1 -1 0 1 -2 0 0 0 0 -1 -1 -2 0 0 2 -1 -3 1 -1 1 0 -1 -1 1 0 -1 2 0 0 0 0
  1 1 2 0 0 -2 1 3 -1 1 -1 0 1
  -2 0 2 1 -1 1 -2 -2 -1 0 0 1 0 1 1 1 0 -1 -1 1 -1 1 2 0 -2 -1 1 -1 2 2 1 0 0 -1 0 -1 -1
  -1 0 1 1 -1 1 -1 -2 0 2 1 -1 1 -2 -2 -1 -3 0 1 0 1 1 1 0 -1 -1 1 -1 1 2 0 -2 -1 1 -1 2
  2 1 3 0 -1 0 -1 -1 -1 0 1 1 -1 1 -1
  -1 -2 -3 -1 3 -1 0 1 -1 -2 2 1 2 1 0 0 3 -3 0 0 0 1 1 2 3 1 -3 1 0 -1 1 2 -2 -1 -2 -1 0 0
  -3 3 0 0 0 -1 -1 -2 -3 -1 3 -1 0 1 -1 -2 -1 1 2 1 0 0 3 -3 0 0 0 1 1 2 3 1 -3 1 0 -1 1
  2 1 -1 -2 -1 0 0 -3 3 0 0 0 -1
  4 1 -2 4 -3 -1 -1 -1 -2 -3 -2 1 2 1 0 0 -1 0 0 2 1 1 -4 -1 2 -4 3 1 1 1 2 3 2 -1 -2 -1 0
  0 1 0 0 -2 -1 -1 4 1 -2 4 -3 -1 -1 -1 -2 -3 -2 -2 2 1 0 0 -1 0 0 2 1 1 -4 -1 2 -4 3 1
  1 1 2 3 2 2 -2 -1 0 0 1 0 0 -2 -1 -1
  -4 -4 0 0 3 2 2 -2 -1 1 2 0 4 4 2 2 2 -2 -2 -1 -2 2 4 4 0 0 -3 -2 -2 2 1 -1 -2 0 -4 -4 -2
  -2 -2 2 2 1 2 -2 -4 -4 0 0 3 2 2 -2 -1 1 2 0 1 4 2 2 2 -2 -2 -1 -2 2 4 4 0 0 -3 -2 -2
  2 1 -1 -2 0 -1 -4 -2 -2 -2 2 2 1 2 -2
  2 -1 -1 1 -3 2 -1 2 3 0 1 -3 -2 0 0 -2 -1 3 0 1 0 1 -2 1 1 -1 3 -2 1 -2 -3 0 -1 3 2 0 0 2
  1 -3 0 -1 0 -1 2 -1 -1 1 -3 2 -1 2 3 0 1 -3 -2 -3 0 -2 -1 3 0 1 0 1 -2 1 1 -1 3 -2 1
  -2 -3 0 -1 3 2 3 0 2 1 -3 0 -1 0 -1
  -3 -3 0 -1 3 2 1 0 0 0 2 0 0 2 3 2 2 -3 1 -1 0 1 3 3 0 1 -3 -2 -1 0 0 0 -2 0 0 -2 -3 -2
  -2 3 -1 1 0 -1 -3 -3 0 -1 3 2 1 0 0 0 2 0 0 2 0 2 2 -3 1 -1 0 1 3 3 0 1 -3 -2 -1 0 0 0
  -2 0 0 -2 0 -2 -2 3 -1 1 0 -1
  2 4 1 2 -5 -2 -2 -4 -6 -2 -3 3 1 -2 -2 1 -1 2 -1 1 1 -2 -2 -4 -1 -2 5 2 2 4 6 2 3 -3 -1 2
  2 -1 1 -2 1 -1 -1 2 2 4 1 2 -5 -2 -2 -4 -6 -2 -3 3 1 -2 -2 -2 -1 2 -1 1 1 -2 -2 -4 -1
  -2 5 2 2 4 6 2 3 -3 -1 2 2 2 1 -2 1 -1 -1 2
  -3 -1 3 -3 0 2 0 -1 2 0 0 0 -1 -1 1 -2 0 -2 -1 -1 0 -1 3 1 -3 3 0 -2 0 1 -2 0 0 0 1 1 -1
  2 0 2 1 1 0 1 -3 -1 3 -3 0 2 0 -1 2 0 0 0 -1 -1 1 -2 -3 -2 -1 -1 0 -1 3 1 -3 3 0 -2 0
  1 -2 0 0 0 1 1 -1 2 3 2 1 1 0 1
  1 -1 -1 2 1 1 1 0 0 1 1 0 1 1 1 1 1 2 0 0 0 1 -1 1 1 -2 -1 -1 -1 0 0 -1 -1 0 -1 -1 -1 -1
  -1 -2 0 0 0 -1 1 -1 -1 2 1 1 1 0 0 1 1 0 1 1 1 1 1 -1 0 0 0 1 -1 1 1 -2 -1 -1 -1 0 0
  -1 -1 0 -1 -1 -1 -1 -1 1 0 0 0 -1
  -3 -4 0 0 4 2 3 1 4 2 3 -3 1 4 1 2 1 0 1 0 -2 2 3 4 0 0 -4 -2 -3 -1 -4 -2 -3 3 -1 -4 -1
  -2 -1 0 -1 0 2 -2 -3 -4 0 0 4 2 3 1 4 2 3 -3 1 4 1 2 1 0 -2 0 -2 2 3 4 0 0 -4 -2 -3 -1
  -4 -2 -3 3 -1 -4 -1 -2 -1 0 2 0 2 -2
  -1 4 2 2 -3 0 -4 -4 -6 -4 -4 4 3 -1 -2 0 0 -3 -3 3 1 1 1 -4 -2 -2 3 0 4 4 6 4 4 -4 -3 1 2
  0 0 3 3 -3 -1 -1 -1 4 2 2 -3 0 -4 -4 -6 -4 -4 4 3 -1 -2 0 0 -3 -3 0 1 1 1 -4 -2 -2 3 0
  4 4 6 4 4 -4 -3 1 2 0 0 3 3 0 -1 -1
  0 -2 -1 3 2 1 -2 -2 -3 -2 1 1 4 3 1 2 2 -3 -1 0 2 2 0 2 1 -3 -2 -1 2 2 3 2 -1 -1 -4 -3 -1
  -2 -2 3 1 0 -2 -2 0 -2 -1 3 2 1 -2 -2 -3 -2 1 1 4 3 1 2 2 -3 -1 0 -1 2 0 2 1 -3 -2 -1
  2 2 3 2 -1 -1 -4 -3 -1 -2 -2 3 1 0 1 -2
  0 0 -1 3 4 -1 0 -3 -3 -2 1 1 3 4 2 6 3 -2 1 0 1 3 0 0 1 -3 -4 1 0 3 3 2 -1 -1 -3 -4 -2 -6
  -3 2 -1 0 -1 -3 0 0 -1 3 4 -1 0 -3 -3 -2 1 1 3 4 2 6 3 -2 1 0 1 0 0 0 1 -3 -4 1 0 3 3
  2 -1 -1 -3 -4 -2 -6 -3 2 -1 0 -1 0
  1 7 2 1 -6 -2 -3 -4 -5 -2 -4 3 0 -4 -2 -1 -3 1 0 2 1 -2 1 7 2 1 -6 -2 -3 -4 -5 -2 -4 3 0
  -4 -2 -1 -3 1 0 2 1 -2 -4 -7 -2 -1 6 2 3 4 5 2 4 -3 0 4 2 1 3 -1 0 -2 -1 2 -4 -7 -2 -1
  6 2 3 4 5 2 4 -3 0 4 2 1 3 -1 0 -2 -1 2
  -2 -6 -2 -3 2 2 2 5 6 3 3 -3 -3 -1 1 -1 1 0 1 -2 0 0 -2 -6 -2 -3 2 2 2 5 6 3 3 -3 -3 -1 1
  -1 1 0 1 -2 0 0 2 3 2 3 -2 -2 -2 -5 -6 -3 -3 3 3 1 -1 1 -1 0 -1 2 0 0 2 3 2 3 -2 -2 -2
  -5 -6 -3 -3 3 3 1 -1 1 -1 0 -1 2 0 0
  -2 1 0 -1 3 0 0 -4 -4 -2 1 3 4 3 0 2 2 -4 -1 -1 0 1 -2 1 0 -1 3 0 0 -4 -4 -2 1 3 4 3 0 2
  2 -4 -1 -1 0 1 2 -1 -3 1 -3 0 0 4 4 2 -1 -3 -4 -3 0 -2 -2 4 1 1 0 -1 2 -1 -3 1 -3 0 0
  4 4 2 -1 -3 -4 -3 0 -2 -2 4 1 1 0 -1
  -1 -4 -1 -5 5 0 3 5 6 2 3 -3 -1 2 1 -1 1 -2 1 -2 -1 0 -1 -4 -1 -5 5 0 3 5 6 2 3 -3 -1 2 1
  -1 1 -2 1 -2 -1 0 1 4 1 2 -5 0 -3 -5 -6 -2 -3 3 1 -2 -1 1 -1 2 -1 2 1 0 1 4 1 2 -5 0
  -3 -5 -6 -2 -3 3 1 -2 -1 1 -1 2 -1 2 1 0
  2 3 0 0 -2 -1 0 2 1 2 -1 1 -1 -2 -1 0 -1 1 1 0 0 -1 2 3 0 0 -2 -1 0 2 1 2 -1 1 -1 -2 -1 0
  -1 1 1 0 0 -1 -2 -3 0 0 -1 1 0 -2 -1 -2 1 -1 1 2 1 0 1 -1 -1 0 0 1 -2 -3 0 0 -1 1 0 -2
  -1 -2 1 -1 1 2 1 0 1 -1 -1 0 0 1
  2 2 0 0 -5 -1 0 2 2 3 -1 -1 -3 -5 -3 -3 -3 3 0 0 0 -1 2 2 0 0 -5 -1 0 2 2 3 -1 -1 -3 -5
  -3 -3 -3 3 0 0 0 -1 -2 -2 0 0 5 -2 0 -2 -2 -3 1 1 3 5 3 3 3 -3 0 0 0 1 -2 -2 0 0 5 -2
  0 -2 -2 -3 1 1 3 5 3 3 3 -3 0 0 0 1
  0 0 -1 -1 2 -1 -1 0 -1 0 0 0 1 1 -1 0 1 -3 0 -1 2 0 0 0 -1 -1 2 -1 -1 0 -1 0 0 0 1 1 -1 0
  1 -3 0 -1 2 0 0 0 1 1 -2 1 -2 0 1 0 0 0 -1 -1 1 0 -1 3 0 1 -2 0 0 0 1 1 -2 1 -2 0 1 0
  0 0 -1 -1 1 0 -1 3 0 1 -2 0
  -1 -2 -1 -1 2 1 1 -2 -2 0 2 1 2 2 -1 1 4 -2 0 -2 0 2 -1 -2 -1 -1 2 1 1 -2 -2 0 2 1 2 2 -1
  1 4 -2 0 -2 0 2 1 2 1 1 -2 -1 -1 -1 2 0 -2 -1 -2 -2 1 -1 -4 2 0 2 0 -2 1 2 1 1 -2 -1
  -1 -1 2 0 -2 -1 -2 -2 1 -1 -4 2 0 2 0 -2
  1 -1 0 1 -2 0 0 0 0 -1 -1 -2 0 0 2 -1 -3 1 -1 1 0 -1 1 -1 0 1 -2 0 0 0 0 -1 -1 -2 0 0 2
  -1 -3 1 -1 1 0 -1 -1 1 0 -1 2 0 0 0 -3 1 1 2 0 0 -2 1 3 -1 1 -1 0 1 -1 1 0 -1 2 0 0 0
  -3 1 1 2 0 0 -2 1 3 -1 1 -1 0 1
  -2 0 2 1 -1 1 -2 -2 -1 -3 0 1 0 1 1 1 0 -1 -1 1 -1 1 -2 0 2 1 -1 1 -2 -2 -1 -3 0 1 0 1 1
  1 0 -1 -1 1 -1 1 2 0 -2 -1 1 -1 2 2 1 0 0 -1 0 -1 -1 -1 0 1 1 -1 1 -1 2 0 -2 -1 1 -1 2
  2 1 0 0 -1 0 -1 -1 -1 0 1 1 -1 1 -1
  -1 -2 -3 -1 3 -1 0 1 -1 -2 -1 1 2 1 0 0 3 -3 0 0 0 1 -1 -2 -3 -1 3 -1 0 1 -1 -2 -1 1 2 1
  0 0 3 -3 0 0 0 1 1 2 3 1 -3 1 0 -1 1 2 -2 -1 -2 -1 0 0 -3 3 0 0 0 -1 1 2 3 1 -3 1 0 -1
  1 2 -2 -1 -2 -1 0 0 -3 3 0 0 0 -1
  4 1 -2 4 -3 -1 -1 -1 -2 -3 -2 -2 2 1 0 0 -1 0 0 2 1 1 4 1 -2 4 -3 -1 -1 -1 -2 -3 -2 -2 2
  1 0 0 -1 0 0 2 1 1 -4 -1 2 -4 3 1 1 1 2 3 2 -1 -2 -1 0 0 1 0 0 -2 -1 -1 -4 -1 2 -4 3 1
  1 1 2 3 2 -1 -2 -1 0 0 1 0 0 -2 -1 -1
  -4 -4 0 0 3 2 2 -2 -1 1 2 0 1 4 2 2 2 -2 -2 -1 -2 2 -4 -4 0 0 3 2 2 -2 -1 1 2 0 1 4 2 2 2
  -2 -2 -1 -2 2 4 4 0 0 -3 -2 -2 2 1 -1 -2 0 -4 -4 -2 -2 -2 2 2 1 2 -2 4 4 0 0 -3 -2 -2
  2 1 -1 -2 0 -4 -4 -2 -2 -2 2 2 1 2 -2
  2 -1 -1 1 -3 2 -1 2 3 0 1 -3 -2 -3 0 -2 -1 3 0 1 0 1 2 -1 -1 1 -3 2 -1 2 3 0 1 -3 -2 -3 0
  -2 -1 3 0 1 0 1 -2 1 1 -1 3 -2 1 -2 -3 0 -1 3 2 0 0 2 1 -3 0 -1 0 -1 -2 1 1 -1 3 -2 1
  -2 -3 0 -1 3 2 0 0 2 1 -3 0 -1 0 -1
  -3 -3 0 -1 3 2 1 0 0 0 2 0 0 2 0 2 2 -3 1 -1 0 1 -3 -3 0 -1 3 2 1 0 0 0 2 0 0 2 0 2 2 -3
  1 -1 0 1 3 3 0 1 -3 -2 -1 0 0 0 -2 0 0 -2 -3 -2 -2 3 -1 1 0 -1 3 3 0 1 -3 -2 -1 0 0 0
  -2 0 0 -2 -3 -2 -2 3 -1 1 0 -1
  2 4 1 2 -5 -2 -2 -4 -6 -2 -3 3 1 -2 -2 -2 -1 2 -1 1 1 -2 2 4 1 2 -5 -2 -2 -4 -6 -2 -3 3 1
  -2 -2 -2 -1 2 -1 1 1 -2 -2 -4 -1 -2 5 2 2 4 6 2 3 -3 -1 2 2 -1 1 -2 1 -1 -1 2 -2 -4 -1
  -2 5 2 2 4 6 2 3 -3 -1 2 2 -1 1 -2 1 -1 -1 2
  -3 -1 3 -3 0 2 0 -1 2 0 0 0 -1 -1 1 -2 -3 -2 -1 -1 0 -1 -3 -1 3 -3 0 2 0 -1 2 0 0 0 -1 -1
  1 -2 -3 -2 -1 -1 0 -1 3 1 -3 3 0 -2 0 1 -2 0 0 0 1 1 -1 2 0 2 1 1 0 1 3 1 -3 3 0 -2 0
  1 -2 0 0 0 1 1 -1 2 0 2 1 1 0 1
  1 -1 -1 2 1 1 1 0 0 1 1 0 1 1 1 1 1 -1 0 0 0 1 1 -1 -1 2 1 1 1 0 0 1 1 0 1 1 1 1 1 -1 0 0
  0 1 -1 1 1 -2 -1 -1 -1 0 0 -1 -1 0 -1 -1 -1 -1 -1 -2 0 0 0 -1 -1 1 1 -2 -1 -1 -1 0 0
  -1 -1 0 -1 -1 -1 -1 -1 -2 0 0 0 -1
  -3 -4 0 0 4 2 3 1 4 2 3 -3 1 4 1 2 1 0 -2 0 -2 2 -3 -4 0 0 4 2 3 1 4 2 3 -3 1 4 1 2 1 0
  -2 0 -2 2 3 4 0 0 -4 -2 -3 -1 -4 -2 -3 3 -1 -4 -1 -2 -1 0 -1 0 2 -2 3 4 0 0 -4 -2 -3
  -1 -4 -2 -3 3 -1 -4 -1 -2 -1 0 -1 0 2 -2
  -1 4 2 2 -3 0 -4 -4 -6 -4 -4 4 3 -1 -2 0 0 -3 -3 0 1 1 -1 4 2 2 -3 0 -4 -4 -6 -4 -4 4 3
  -1 -2 0 0 -3 -3 0 1 1 1 -4 -2 -2 3 0 4 4 6 4 4 -4 -3 1 2 0 0 3 3 -3 -1 -1 1 -4 -2 -2 3
  0 4 4 6 4 4 -4 -3 1 2 0 0 3 3 -3 -1 -1
  0 -2 -1 3 2 1 -2 -2 -3 -2 1 1 4 3 1 2 2 -3 -1 0 -1 2 0 -2 -1 3 2 1 -2 -2 -3 -2 1 1 4 3 1
  2 2 -3 -1 0 -1 2 0 2 1 -3 -2 -1 2 2 3 2 -1 -1 -4 -3 -1 -2 -2 3 1 0 -2 -2 0 2 1 -3 -2
  -1 2 2 3 2 -1 -1 -4 -3 -1 -2 -2 3 1 0 -2 -2
  0 0 -1 3 4 -1 0 -3 -3 -2 1 1 3 4 2 6 3 -2 1 0 1 0 0 0 -1 3 4 -1 0 -3 -3 -2 1 1 3 4 2 6 3
  -2 1 0 1 0 0 0 1 -3 -4 1 0 3 3 2 -1 -1 -3 -4 -2 -6 -3 2 -1 0 -1 -3 0 0 1 -3 -4 1 0 3 3
  2 -1 -1 -3 -4 -2 -6 -3 2 -1 0 -1 -3
  88 88
  0 0 0 1 0 0 0 -2 -1 -1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0
  0 0 0 -1 0 0 0 1 1 0 0 0 -1 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0
  -2 -2 0 -2 2 1 2 1 2 2 2 -1 0 1 0 0 1 0 0 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0
  0 0 0 -1 0 0 1 2 2 1 0 -1 -1 -1 -1 -1 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0
  -1 -2 -1 1 1 1 0 1 1 0 1 -1 0 1 1 1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0
  1 0 -1 2 0 0 -1 -1 -1 -2 0 0 1 1 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0
  0 0 0 -1 1 0 1 1 2 1 1 -1 -1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0
  -1 0 1 -2 1 0 1 0 0 1 1 1 0 0 -1 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0
  1 0 0 0 -1 0 0 1 1 0 -1 -1 -1 -1 0 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0
  -1 1 1 -1 -1 0 0 -1 -1 0 -1 1 0 -1 -1 -1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0
  1 1 1 0 -2 0 0 0 0 0 -1 0 -1 -1 -1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0
  -1 -1 0 -1 2 0 1 0 0 1 1 0 0 1 0 1 1 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0
  2 3 1 1 -3 -1 -2 -2 -3 -2 -2 2 1 -1 -1 -1 -1 0 -1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0
  -1 0 1 -2 1 0 1 0 1 1 1 0 -1 0 0 0 0 0 1 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0
  0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0
  0 0 0 0 1 0 0 -1 0 -1 0 0 1 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0
  0 0 0 1 0 0 -1 -1 -2 -1 0 1 1 1 0 1 1 -1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0
  0 -1 -1 0 1 0 1 1 1 1 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0
  -1 -1 0 0 1 1 0 0 1 0 1 -1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0
  -1 -1 0 0 1 1 0 0 0 0 1 0 1 1 0 1 1 -1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0
  -1 -2 -1 -1 1 1 1 2 2 2 2 -1 -1 0 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 -2 -1 -1 0 0 1 1 1 1 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 1 1 0 0 0 -1 -1 0 -1 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 -2 0 -2 2 1 2 1 2 2 2 -1 0 1 0 0 1 0 0 -1
  -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 2 2 1 0 -1 -1 -1 -1 -1 0 1 0 0
  -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -2 -1 1 1 1 0 1 1 0 1 -1 0 1 1 1 1 0 0 0
  -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 2 0 0 -1 -1 -1 -2 0 0 1 1 1 1 0 0 0 1
  0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 1 2 1 1 -1 -1 0 0 0 0 1 1 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -2 1 0 1 0 0 1 1 1 0 0 -1 0 1 0 0 -1 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 -1 0 0 1 1 0 -1 -1 -1 -1 0 -1 -1 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 1 -1 -1 0 0 -1 -1 0 -1 1 0 -1 -1 -1 0 0
  -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 -2 0 0 0 0 0 -1 0 -1 -1 -1 -1 -1 1 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 0 -1 2 0 1 0 0 1 1 0 0 1 0 1 1 -1 0 -1
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 1 -3 -1 -2 -2 -3 -2 -2 2 1 -1 -1 -1 -1
  0 -1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -2 1 0 1 0 1 1 1 0 -1 0 0 0 0 0 1 -1 0
  -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 -1 0 0 1 1 1 0 0 -1 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 -1 -2 -1 0 1 1 1 0 1 1 -1 0 0
  0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 0 1 0 1 1 1 1 1 -1 0 1 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 0 0 1 1 0 0 1 0 1 -1 0 1 1 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 0 0 1 1 0 0 0 0 1 0 1 1 0 1 1 -1 0 0 0
  1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -2 -1 -1 1 1 1 2 2 2 2 -1 -1 0 0 0 1 0 1
  -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 1 0 0 0 -2 -1 -1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 -1 0 0 0 1 1 0 0 0 -1 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  -2 -2 0 -2 2 1 2 1 2 2 2 -1 0 1 0 0 1 0 0 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 -1 0 0 1 2 2 1 0 -1 -1 -1 -1 -1 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  -1 -2 -1 1 1 1 0 1 1 0 1 -1 0 1 1 1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
  0 -1 2 0 0 -1 -1 -1 -2 0 0 1 1 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 -1 1 0 1 1 2 1 1 -1 -1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  -1 0 1 -2 1 0 1 0 0 1 1 1 0 0 -1 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
  0 0 0 -1 0 0 1 1 0 -1 -1 -1 -1 0 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  -1 1 1 -1 -1 0 0 -1 -1 0 -1 1 0 -1 -1 -1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
  1 1 0 -2 0 0 0 0 0 -1 0 -1 -1 -1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  -1 -1 0 -1 2 0 1 0 0 1 1 0 0 1 0 1 1 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
  3 1 1 -3 -1 -2 -2 -3 -2 -2 2 1 -1 -1 -1 -1 0 -1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  -1 0 1 -2 1 0 1 0 1 1 1 0 -1 0 0 0 0 0 1 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 1 0 0 -1 0 -1 0 0 1 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 1 0 0 -1 -1 -2 -1 0 1 1 1 0 1 1 -1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  -1 -1 0 1 0 1 1 1 1 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  -1 -1 0 0 1 1 0 0 1 0 1 -1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  -1 -1 0 0 1 1 0 0 0 0 1 0 1 1 0 1 1 -1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  -1 -2 -1 -1 1 1 1 2 2 2 2 -1 -1 0 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 -2 -1 -1 0 0 1 1 1 1 0 0 0 0 0
  0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 1 1 0 0 0 -1 -1 0 -1 0 0 0 0
  0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 -2 0 -2 2 1 2 1 2 2 2 -1 0 1 0 0 1 0 0 -1
  -1 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 2 2 1 0 -1 -1 -1 -1 -1 0 1 0
  0 -1 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -2 -1 1 1 1 0 1 1 0 1 -1 0 1 1 1 1 0 0 0
  -1 1
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 2 0 0 -1 -1 -1 -2 0 0 1 1 1 1 0 0 0 1
  0 1
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 1 2 1 1 -1 -1 0 0 0 0 1 1 0 0
  0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -2 1 0 1 0 0 1 1 1 0 0 -1 0 1 0 0 -1
  0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 -1 0 0 1 1 0 -1 -1 -1 -1 0 -1 -1 0 0
  0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  -1
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 1 -1 -1 0 0 -1 -1 0 -1 1 0 -1 -1 -1 0 0
  -1 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 -2 0 0 0 0 0 -1 0 -1 -1 -1 -1 -1 1 0
  0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 0 -1 2 0 1 0 0 1 1 0 0 1 0 1 1 -1 0 -1
  0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 1 -3 -1 -2 -2 -3 -2 -2 2 1 -1 -1 -1 -1
  0 -1 1 1 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -2 1 0 1 0 1 1 1 0 -1 0 0 0 0 0 1 -1
  0 -1
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 -1 0 0 1 1 1 0 0 -1 0 0 0
  0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 -1 -2 -1 0 1 1 1 0 1 1 -1 0 0
  0 1
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 0 1 0 1 1 1 1 1 -1 0 1 0 0 0 0 0 0 0
  0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 0 0 1 1 0 0 1 0 1 -1 0 1 1 0 0 0 0 0 0
  0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 0 0 1 1 0 0 0 0 1 0 1 1 0 1 1 -1 0 0 0
  1
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -2 -1 -1 1 1 1 2 2 2 2 -1 -1 0 0 0 1 0 1
  -1 0 0
  

• PROPERTIES
  Unimodular=1
  

• REFERENCES
  Ryotaro Sakamoto:
  Two Extremal Even Unimodular Lattices of Rank 88
  https://doi.org/10.48550/arXiv.2609.15633
  

• LAST_LINE
  

  ---

  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe