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 Fri Jul 18 13:12:32 CEST 2014

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
GRAM
DIVISORS
MINIMAL_NORM
SUBGROUP_ORDER
SUBGROUP_NAME
SUBGROUP_GENERATORS
PROPERTIES
REFERENCES
NOTES
LAST_LINE

• NAME
  L8,2.otimes.L_32,2
  

• DIMENSION
  64
  

• GRAM
  64 0
  22
  -3 22
  -3 11 22
  -3 2 13 32
  -3 -13 3 -5 32
  3 -16 -16 -18 13 32
  2 16 0 0 -18 -16 32
  -11 3 -5 -13 -2 -3 11 32
  18 -11 5 16 8 3 -13 -26 42
  -3 11 3 -8 -13 -11 16 13 -18 32
  11 -10 -8 -1 5 13 -13 -10 15 -18 22
  6 0 -8 -13 -6 13 -3 2 -3 -3 8 22
  8 -16 -18 -13 11 16 -3 5 3 -8 13 2 32
  -11 -10 -2 0 16 13 -13 3 0 -5 0 -3 3 22
  -3 -3 8 -7 16 5 -5 5 -2 0 -6 -1 -2 5 22
  -3 -8 8 21 8 -3 -18 -10 18 -18 10 -8 -5 8 -2 32
  -3 11 11 8 -8 -11 8 5 0 11 -8 0 -11 0 0 3 22
  -2 -1 7 8 13 -2 -3 -3 11 -3 -5 -13 -2 10 8 5 2 32
  11 2 -5 -10 -13 -5 12 12 -10 15 0 3 8 -13 -5 -5 5 -20 42
  3 -16 -11 3 10 11 -8 2 8 -11 10 -2 18 10 0 5 -8 16 -10 32
  -7 -21 -21 -8 5 13 -8 15 -5 5 3 0 21 15 -5 0 -3 -2 3 18 52
  -16 -13 -10 3 8 5 -13 13 -5 0 -3 -8 5 21 -5 8 -5 18 -18 23 33 52
  -11 -5 5 5 8 -3 -15 3 0 -2 0 -6 -5 8 3 16 3 0 -3 -3 13 13 22
  8 0 -3 10 5 -5 -5 -18 13 -10 8 -5 5 -3 -13 5 -10 13 -13 13 -5 10 -5 52
  -3 5 -8 3 -5 8 8 -5 -5 -8 7 5 5 0 -10 -3 -3 -5 -8 3 -8 -5 -13 10 42
  3 -3 -11 5 -5 -2 0 0 8 -8 8 -5 13 -3 -18 10 -3 3 5 8 8 15 0 21 13 42
  13 -6 2 13 3 -2 -8 -28 26 -11 8 -13 -2 -5 -5 13 -11 11 -5 3 -10 -5 0 23 -5 8 42
  -16 0 -3 -5 0 -2 -5 18 -23 5 -3 5 0 3 0 0 0 -13 2 -2 15 13 13 -5 3 0 -23 32
  -2 0 3 3 -3 -13 2 2 -5 10 -5 -12 2 -8 -3 0 -2 -5 11 -5 5 0 7 0 -8 5 5 7 22
  13 -16 -16 0 -3 13 -3 -8 18 -18 18 3 18 -5 -8 8 -13 -10 8 8 8 -5 -5 -5 10 18 13 -10 0 42
  2 6 6 10 -10 -8 3 -15 5 -2 0 -3 -13 -10 -5 5 -2 -11 2 -16 -16 -18 0 0 5 -3 15 -5 5 7 22
  6 8 10 15 -11 -13 0 -16 10 -5 3 -2 -13 -11 -8 10 3 -5 3 -10 -20 -16 0 8 -3 0 15 -8 3 0 15 22
  -4 -3 0 -7 4 6 -8 1 -3 0 -2 2 -4 2 7 3 -2 -5 3 -9 1 -2 8 -10 -6 -3 1 4 1 2 4 -2 16
  -4 15 12 -3 3 -11 13 9 -6 11 -13 -10 -9 -1 8 -1 14 9 9 -16 -12 -10 3 -10 -4 2 -2 -6 2 -11 0 -2 7 42
  0 0 11 13 7 -2 -3 -3 15 -10 3 1 -4 5 8 13 14 8 -9 3 -4 -6 4 -8 1 -6 -5 -4 -9 -1 -3 1 -1 5 30
  -4 -11 -10 -9 7 8 -1 5 -4 2 -5 -7 11 5 6 -5 -8 5 0 6 18 10 3 -6 -8 2 5 -2 6 8 -4 -11 8 5 -7 26
  -4 13 6 -9 -2 -1 -1 -2 -11 -1 -4 4 -8 -5 2 -6 0 -2 -1 -14 -22 -13 -2 0 -4 -4 -1 -2 -2 -13 3 9 7 8 -6 -1 36
  -4 -3 -6 0 -8 3 -6 -4 -5 2 1 4 -5 1 -8 1 -5 -11 0 -4 8 6 5 1 -1 -2 3 7 2 1 7 4 2 -14 -12 -2 0 20
  6 5 -6 -3 -11 -7 14 4 -2 9 -2 0 4 -9 -9 -12 -1 -1 5 1 4 2 -8 7 3 8 0 -2 4 3 -1 -2 -4 -1 -7 0 -2 -1 20
  -5 3 -4 -15 2 7 11 18 -17 14 -7 4 7 5 7 -13 9 -5 12 -4 10 -4 -3 -20 7 -6 -22 7 -2 -5 -9 -16 1 12 3 3 -5 -7 2 32
  -5 -14 3 4 27 14 -27 -16 16 -27 12 0 -1 15 10 20 -12 2 -22 0 2 3 16 7 -3 -8 13 2 -8 5 6 1 10 -5 8 2 0 4 -15 -10 54
  -2 4 3 -6 -3 7 -10 2 -1 -5 6 12 -6 -1 4 3 4 -2 -5 -3 -8 -2 4 -12 0 -3 -9 5 -7 -1 -2 1 4 -4 6 -9 10 1 -5 1 1 28
  2 17 6 2 -10 -13 14 -6 -1 5 -7 -2 -9 -12 -6 -10 3 3 -5 -12 -20 -11 -9 13 7 6 5 -7 1 -8 7 8 -6 10 -6 -6 10 -3 6 -4 -10 0 26
  -6 -3 1 -3 5 12 -8 5 -6 -6 5 7 1 7 10 2 1 2 -8 9 -2 1 0 -15 8 -12 -13 6 -8 -1 -6 -6 2 -8 9 -4 3 -2 -6 8 3 16 -12 30
  -6 -1 -2 3 -7 2 -1 1 -4 6 -3 0 -7 5 -3 2 3 -2 -1 -1 8 8 4 -8 1 -4 -1 3 -1 -1 3 -1 3 -2 -1 1 -6 7 -1 2 -3 2 -4 2 14
  1 -15 -5 7 12 4 -11 -9 17 -17 2 -6 9 8 0 11 -8 9 -10 10 10 12 4 14 -14 10 15 -10 -3 9 -3 2 3 -10 2 13 3 1 -3 -15 18 -8 -4 -10 -5 44
  -9 0 2 -4 3 7 -8 -3 -11 4 -2 -2 -3 6 4 -5 -5 2 -10 2 -3 4 1 -6 3 -14 -2 4 3 -10 0 -1 1 -5 -9 2 8 5 -6 0 2 6 -2 15 5 -12 32
  7 0 -3 -5 3 -5 13 10 3 3 -3 0 12 -4 3 -10 4 5 5 5 8 -2 -6 2 -7 3 -7 -4 -1 0 -11 -8 -8 9 5 5 -10 -11 4 6 -10 -9 7 -13 -7 5 -15 32
  -11 -5 -6 2 11 3 -4 4 -4 -14 2 -8 10 12 -6 8 -7 3 -7 5 8 15 5 7 4 14 -1 3 -1 4 -5 -3 0 4 -4 8 8 0 -4 -5 14 -10 -1 -5 -5 18 0 1 36
  -2 -12 -6 -7 18 10 -18 -8 -2 -15 13 -3 17 2 1 5 -19 -10 -1 3 6 -3 9 11 0 0 9 10 11 6 3 1 3 -12 -11 6 7 9 -9 -10 23 -3 -6 0 -7 9 10 -5 16 48
  5 4 -2 7 -7 -8 12 -6 9 4 -5 -7 1 -3 -12 -5 1 7 -3 0 -2 5 -10 15 7 17 8 -12 1 4 1 2 -8 2 -4 -1 -4 -2 13 -2 -12 -13 12 -15 -3 7 -9 7 5 -14 30
  -5 9 9 -3 10 -2 -2 -3 -4 5 -5 -3 -3 2 7 -3 7 9 -8 -5 -8 -5 3 11 4 -3 -1 3 1 -20 -3 -2 1 12 5 -2 10 -7 -4 6 3 3 10 0 -4 -4 3 1 -3 4 -4 30
  9 -18 -16 -14 5 27 -10 -1 15 -2 9 12 13 11 3 -3 -2 1 -1 10 24 10 -2 -14 -1 2 -1 -9 -12 20 -9 -16 5 -8 4 10 -15 2 1 11 6 6 -15 6 5 5 -6 1 -7 -10 1 -11 48
  0 5 6 4 1 -8 -4 -1 8 2 -2 2 -11 2 -4 6 7 3 -5 -8 2 9 9 11 -8 6 0 4 -3 -10 -1 2 1 7 3 -10 -5 4 2 -5 9 0 6 -12 -1 3 -12 5 0 -7 7 3 0 32
  0 -4 -2 7 -6 -7 6 5 4 14 -8 -6 -5 2 -4 0 3 4 1 3 16 18 2 2 0 8 1 3 5 3 0 -8 -2 0 -5 2 -25 6 8 2 -8 -11 -1 -9 7 -3 -10 3 -8 -16 11 -7 13 14 42
  -11 12 9 4 -9 -7 14 12 -14 16 -12 -4 -7 1 4 -5 19 1 4 -6 -4 -6 -2 -24 12 -6 -20 5 3 -10 -2 -5 -3 16 9 -3 0 -5 -3 18 -22 5 2 12 6 -24 9 0 -7 -15 -3 8 -4 -10 4 44
  -5 4 -3 -7 -5 -1 1 3 -8 0 -6 7 -4 -5 0 -8 -3 -6 -5 -9 -2 0 0 2 -2 3 -6 7 -1 -3 2 0 8 -1 -5 4 14 5 3 -7 1 3 6 -4 -1 9 -3 0 4 2 1 1 -4 4 -2 -5 26
  -5 -1 11 17 5 -15 -4 -4 5 -4 -3 -17 -9 0 2 15 -4 9 -6 2 -5 8 10 6 -7 1 14 1 11 -1 7 7 -3 -1 2 -2 -8 1 -3 -10 8 -5 -2 -3 1 2 0 -6 -1 5 1 -3 -15 3 7 -5 -7 32
  16 -13 -2 13 3 -3 2 -13 28 -11 8 -4 9 -7 1 8 -4 1 1 8 6 -9 -3 7 -3 4 18 -13 2 23 7 3 -2 -7 11 5 -24 -6 3 -9 9 -13 -3 -10 -5 16 -19 15 -7 -2 6 -8 10 3 13 -13 -6 4 46
  -14 -4 -4 1 4 3 1 18 -14 -1 -3 4 7 11 2 0 5 -2 -6 10 16 16 2 -8 12 2 -28 19 -4 -4 -13 -14 -5 -9 10 -2 -11 -4 -3 16 -4 2 -8 11 2 -2 -3 6 6 -6 -1 1 2 -4 3 13 -1 -4 -4 38
  -10 -5 1 -11 21 16 -15 4 -12 -5 3 5 4 15 12 -2 -7 1 -12 5 0 6 3 -1 8 -14 -14 13 -6 -13 -9 -11 1 -7 0 -2 4 -1 -12 9 15 5 -9 15 -2 -7 14 -6 3 15 -12 10 -1 -5 -12 1 -5 0 -16 15 40
  
  -10 19 12 11 -16 -21 17 0 -12 21 -17 -8 -21 -5 -5 -8 15 1 -4 -15 -5 -4 2 -3 1 -13 -3 3 7 -23 9 7 -5 10 1 -7 3 6 6 4 -13 -6 13 -6 8 -18 6 -3 -7 -13 6 11 -17 5 9 22 1 4 -11 -1 -11
  46
  15 5 -1 -22 1 11 5 -1 -4 9 -1 11 0 -5 10 -19 -3 0 13 -5 -16 -20 -15 -4 -11 -19 3 -16 -10 -8 -3 0 3 4 -6 0 15 -5 2 6 -9 4 1 1 -3 -4 3 2 -15 -6 -5 3 6 -7 -15 -10 1 -11 -9 -18 6
  -8 50
  -1 -6 4 -7 21 4 -10 -2 5 1 -4 -7 8 5 11 -2 -5 10 -7 1 0 5 3 11 -2 7 2 2 7 -5 -7 -10 6 7 -2 6 -1 -8 -1 4 9 -4 2 -3 -6 8 1 4 0 9 5 16 1 5 4 -4 5 3 3 3 12
  -11 -2 40
  

• DIVISORS
  1
  

• MINIMAL_NORM
  6
  

• SUBGROUP_ORDER
  

• SUBGROUP_NAME
  (SL_2(17) otimes SL_2(5)).2
  

• SUBGROUP_GENERATORS
  6
  64 64
  2 1 -1 1 0 0 -1 1 0 0 -1 -1 0 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
  -2 -1 3 -2 0 1 1 1 1 -1 0 0 -1 -1 -1 0 0 1 1 0 1 0 0 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
  -1 -2 2 0 0 0 0 0 -1 -1 1 -1 -1 0 0 -2 1 0 1 0 0 0 0 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
  -2 -1 1 1 1 0 1 -2 -1 0 1 1 0 0 0 -1 0 0 1 0 0 0 0 0 -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 -2 -1 1 0 -3 0 -2 -2 0 3 0 0 2 3 -3 2 -1 0 0 -1 1 -1 -1 -1 2 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
  -1 1 -1 1 1 -1 1 -2 0 1 2 1 0 0 2 -1 0 -1 0 0 0 1 -1 -1 -1 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
  1 0 3 -3 -3 2 0 3 2 -2 -3 -1 0 0 -2 2 -1 1 0 0 1 -1 2 2 2 -2 -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
  1 0 0 -1 -1 -1 -1 1 0 0 0 0 0 1 1 0 1 0 0 0 0 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 -1 0 2 0 -1 0 -1 -1 0 1 0 0 1 1 -2 0 -1 0 0 0 0 0 0 -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
  1 -1 3 -4 -3 2 0 3 2 -2 -3 -2 -1 0 -2 2 -1 1 0 0 1 -1 1 2 2 -2 -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
  -2 0 -2 2 3 -3 0 -2 -1 2 3 2 0 0 2 -2 1 -1 0 0 0 1 -2 -2 -1 2 2 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
  3 2 -2 0 0 0 -2 2 1 0 -2 -1 0 0 0 1 0 -1 -1 0 0 0 0 0 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
  -2 -1 1 1 0 -1 1 -2 -1 1 3 1 0 0 2 -2 1 -1 0 0 0 1 -1 -1 -1 2 2 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
  -3 -2 0 0 1 -3 1 -3 -1 0 4 1 -1 1 3 -3 2 -1 1 0 0 1 -2 -1 -1 2 2 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
  2 -2 2 0 -2 1 1 0 -1 -1 0 -1 0 1 0 -1 0 0 0 0 -1 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  -2 -2 -1 3 3 -3 1 -4 -3 1 4 2 0 1 2 -4 2 -1 1 0 -1 1 -1 -2 -2 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0
  -1 -2 3 -1 0 0 0 1 0 -1 0 0 -1 0 0 -2 1 0 1 0 1 0 0 1 1 0 1 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
  -1 -1 1 1 0 0 1 -1 -1 0 1 1 0 0 1 -1 0 0 0 0 0 0 0 0 -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
  1 1 0 0 0 1 0 0 0 0 -1 -1 0 -1 -1 1 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
  -2 -1 1 1 1 -1 1 -2 -1 1 2 2 0 0 2 -2 1 -1 0 0 0 1 -1 -1 -1 2 2 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
  1 0 -2 0 0 -1 -1 0 0 1 0 0 0 1 1 0 1 -1 -1 0 0 0 -1 -1 0 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
  -1 0 -1 1 1 -1 -1 -1 -1 1 1 1 0 0 1 -1 1 0 0 0 0 0 -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
  1 -2 -2 0 0 -2 0 -1 -1 0 1 0 0 2 1 -1 1 0 0 0 -1 0 0 -1 0 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
  -3 -1 0 0 2 -2 1 -2 0 1 2 2 0 0 1 -1 0 0 0 0 0 1 -2 -2 -1 2 1 1 -1 0 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 0 0 0 0 0 0 0 0 0
  -2 1 2 -2 -1 2 2 0 2 -1 -1 1 0 -1 -1 2 -2 1 1 0 1 0 1 1 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
  -4 1 1 0 1 0 1 -1 1 1 1 2 0 -1 0 0 -1 0 1 1 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
  2 2 -6 4 2 -2 0 -3 -2 1 1 1 2 1 1 0 0 0 -1 -1 -2 1 0 -2 -2 1 -1 0 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
  -2 -1 1 -1 1 0 2 -2 0 1 2 1 -1 0 1 0 0 0 1 0 0 1 -1 -1 0 1 1 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 2 -1 1 1 2 -1 1 0 1 -2 0 1 -2 -2 2 -1 1 0 0 0 0 0 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 2 -2 2 1 0 0 -1 0 1 0 1 1 -1 -1 1 -1 0 0 0 0 0 0 -1 -1 0 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
  -2 0 0 -1 1 0 1 -1 1 0 0 0 0 -1 -2 1 -1 1 1 0 0 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
  -1 -1 1 0 1 1 1 0 0 0 0 0 0 -1 -1 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
  11 5 -5 6 -3 3 -9 9 -1 2 -7 -3 5 0 -3 3 -1 2 -4 -1 -1 -2 3 1 2 -4 -4 -3 2 1 3 -1 2 0 0 0 -1 1 0 0 1 -1 2 0 -1 0 -1 0 0 0 0 0 0 0 -1 0 0 0 -1 0 0 0 1 0
  13 4 -7 4 -3 0 -10 10 -1 -1 -5 -6 3 4 2 0 5 1 -4 -3 0 -1 -2 0 3 -2 -1 -1 1 1 2 2 2 -1 0 1 -1 2 1 0 1 -1 2 0 -1 -1 -1 0 0 0 -1 0 -1 0 -1 -1 0 0 -1 0 0 0 0 0
  7 7 -9 4 7 -3 -4 1 1 0 -1 -1 -2 2 0 -1 2 3 2 -3 0 0 -3 -1 0 0 -2 2 -1 0 1 0 1 -2 -1 2 0 2 0 0 0 0 0 0 1 -1 1 0 0 0 0 1 0 -1 -1 0 1 1 1 1 -1 -1 -1 -1
  10 5 0 6 0 6 -5 10 1 1 -7 -2 0 -2 -4 1 0 3 -2 -1 3 -2 2 2 2 -4 -2 -2 0 3 1 1 2 -1 -1 0 1 1 0 1 0 0 1 -1 0 -1 1 0 1 1 0 1 0 0 -1 0 1 1 0 1 0 -1 0 0
  -7 2 8 3 2 5 -1 3 -1 3 -1 4 1 -7 -6 1 -2 4 0 2 3 -4 1 2 -1 -2 -1 -2 -2 4 0 0 3 -1 -2 -1 -1 -2 0 0 0 0 0 -1 0 0 0 0 1 1 1 0 1 0 0 1 0 1 0 0 0 0 1 0
  -2 -6 -3 -6 -3 -6 2 -7 -1 -3 2 0 0 5 3 -1 1 -5 -1 2 -3 0 2 -1 0 2 1 0 2 -4 0 -3 -2 2 0 -1 0 -2 0 -1 -1 1 -1 1 0 1 -1 0 0 -1 0 -1 0 0 1 0 -1 0 0 -1 0 1 0 0
  0 5 -2 -1 -5 2 -9 6 0 1 -6 -1 6 -2 -4 6 -1 2 -4 -1 -1 -4 0 1 1 -3 -2 -3 1 -1 1 -1 2 -1 -1 0 -4 -2 1 -1 1 -1 0 0 -1 1 -2 0 0 0 0 -1 0 0 0 1 -1 0 -1 -1 0 1 1 0
  -15 2 9 -5 3 3 3 -4 0 1 3 4 -1 -7 -3 1 0 3 3 1 3 -2 -3 0 -2 1 3 1 -3 2 -3 0 1 -2 -1 -1 -2 -2 1 -1 0 -1 -1 -1 0 1 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0
  -12 -1 4 -1 1 -3 -2 -3 -4 2 3 2 4 -3 -1 0 2 1 -1 3 0 -4 -4 -2 -3 3 1 -1 -2 1 -1 1 3 -2 -1 -1 -3 -2 1 -1 1 -1 0 -1 0 0 -1 0 0 0 0 -1 1 1 1 0 -1 -1 -1 -1 1 1 1 0
  -11 -2 10 -1 -5 6 5 -3 -1 3 2 3 5 -7 -3 4 -7 -1 1 3 -2 1 4 1 -1 -2 0 -2 1 0 -1 -2 -2 2 2 -1 -1 -1 -1 0 1 -1 0 0 -1 2 -1 0 -1 -1 0 -1 1 1 1 0 0 -2 -1 -1 1 1 1 1
  2 -2 8 -2 -6 7 3 5 2 0 -4 -2 1 -3 -3 4 -4 0 0 2 1 1 4 2 3 -4 -1 -2 2 1 0 1 -2 1 2 0 2 1 -1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 -1 0 0 1 0 0 1
  -10 2 10 -1 -2 6 -4 6 1 3 -2 2 2 -8 -6 2 -2 4 0 1 4 -5 -1 3 0 -3 0 -2 -2 3 -1 0 3 -1 -1 -1 -3 -2 0 -1 1 -1 1 -1 -1 1 -1 -1 0 1 1 -1 0 0 0 1 -1 0 -1 0 0 0 1 0
  19 7 -24 3 2 -10 -8 -1 0 -1 -1 -5 1 12 9 0 5 -2 -3 -7 -5 4 -4 -5 2 2 0 3 3 -5 2 0 -2 -1 1 3 0 3 1 0 0 0 0 2 0 -1 -1 1 0 -1 -2 0 -2 -1 -1 -1 0 0 0 0 -1 0 -1 0
  -3 -3 11 -2 -5 6 3 4 2 2 -5 1 2 -6 -7 5 -6 0 0 5 2 -2 5 2 2 -4 -1 -3 1 1 0 -1 -1 1 1 -1 1 -1 -2 0 1 0 1 0 0 1 0 0 0 0 1 0 1 1 0 0 1 -1 -1 0 1 0 1 1
  -2 0 4 1 -3 2 -6 8 -2 1 -3 -2 4 -3 -2 0 3 3 -3 0 2 -4 -3 1 0 -1 1 -2 -1 3 0 3 4 -2 0 0 -3 0 1 -1 2 -1 2 -1 -1 -1 -1 -1 0 1 0 0 0 1 0 0 -1 -1 -2 0 1 0 1 0
  20 -3 -13 2 -2 -8 -2 0 -1 -2 -1 -5 -1 11 9 -3 5 -6 -3 -2 -4 6 1 -3 4 2 1 2 3 -3 2 0 -4 2 1 1 4 3 -1 1 0 1 0 2 1 -1 0 1 0 -1 -1 1 -1 0 -1 -2 1 0 1 0 0 0 -1 0
  0 5 8 0 0 7 -6 12 4 2 -9 -1 0 -7 -10 4 -1 6 0 3 7 -7 0 3 3 -6 -2 -3 -1 4 0 1 4 -2 -2 0 0 0 -1 0 1 0 2 -1 0 -1 0 -1 1 1 1 0 0 0 -1 0 1 1 0 1 0 -1 0 0
  2 1 -3 -1 -3 0 -1 0 1 0 0 -2 1 2 1 2 0 0 0 0 -2 0 0 -1 1 -1 -1 0 2 -2 0 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 0
  -2 1 -4 -2 6 -5 0 -6 -1 -2 3 2 -4 2 2 -4 5 0 1 -1 1 -1 -3 -2 -2 4 2 2 -3 -1 -1 -1 1 -2 -3 0 -1 -2 1 -1 -1 1 -2 0 1 0 0 0 1 0 0 0 -1 -1 0 1 -1 2 1 0 -1 0 -1 -1
  -8 -8 18 -3 -2 8 11 0 1 1 1 3 -3 -7 -4 1 -6 0 3 4 4 2 4 3 1 -2 1 0 0 4 -1 1 -2 2 2 -2 3 0 -2 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 0 1 -1 0 0 1 0 1 1
  5 2 -7 4 3 -3 2 -5 -1 1 1 2 -1 3 3 -1 -1 -3 -1 -1 -2 3 2 -1 -1 1 0 1 1 -1 0 -2 -2 1 -1 0 2 -1 -1 1 -1 1 -2 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0
  -5 -7 2 -7 -7 -3 0 -1 1 -4 2 -3 1 4 3 -1 0 -4 0 2 -2 -1 0 1 0 1 0 -1 1 -3 0 0 -1 2 2 0 -2 0 1 -1 0 0 1 0 -1 1 -1 -1 -1 -1 0 -1 0 0 1 0 -1 -1 -1 -1 1 1 0 0
  -9 -7 15 -4 -9 9 6 1 1 -1 -1 1 1 -5 -5 3 -7 -2 1 6 1 -2 8 5 0 -4 -2 -4 1 0 0 -3 -1 4 1 -3 1 -2 -1 0 -1 0 1 -1 -1 2 0 -1 0 0 1 -1 2 1 1 0 0 0 0 0 1 1 1 1
  -12 -7 12 -5 -1 0 3 -4 -3 -1 3 3 -1 -3 0 -3 3 -1 1 3 3 -2 -1 1 -1 3 4 0 -3 2 -2 0 1 0 -1 -2 -1 -2 1 -1 0 0 0 0 0 0 -1 0 1 0 0 -1 0 0 1 0 -1 0 0 -1 1 1 1 0
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  64 64
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  64 64
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  16 -9 -13 7 -3 -8 3 -6 -6 1 5 -1 2 10 12 -5 2 -10 -4 -2 -8 11 4 -4 1 4 3 2 3 -4 3 0 -6 5 3 0 4 2 -1 1 0 1 0 3 0 0 -1 1 0 -1 -1 1 0 1 -1 -1 0 -1 0 0 0 1 1 1
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  -7 1 -1 1 6 -1 2 -5 -1 0 6 3 -4 -1 1 -4 3 2 3 -2 1 -1 -4 -1 -4 3 2 2 -4 0 -2 0 2 -2 -2 0 -2 -1 2 -1 -1 0 -1 -1 0 -1 1 -1 1 1 0 1 0 -1 0 1 0 2 1 1 -1 -1 -1 -1
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  -5 7 12 -5 -3 10 -8 15 5 -2 -10 -6 1 -8 -12 6 0 9 1 2 7 -11 -3 5 2 -7 -4 -4 -1 4 -2 2 6 -5 -2 1 -4 0 1 -1 2 -1 2 -3 0 -1 0 -2 0 1 1 0 0 0 0 0 1 0 -1 0 1 -1 -1 -1
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  -2 1 5 0 -6 9 1 4 3 2 -5 0 3 -4 -6 7 -8 2 -1 1 0 -1 5 3 1 -5 -4 -3 3 0 1 -1 0 2 1 -1 0 0 -1 1 0 -1 1 0 -2 1 -1 0 -1 0 0 -1 0 0 0 0 0 -1 -1 0 0 0 1 1
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  13 5 -14 3 1 -3 -5 1 1 1 -1 -3 0 5 4 1 3 -1 -2 -4 -3 3 -2 -3 2 0 0 2 2 -3 1 -1 -2 1 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 0 -1 0 -1 -1 -1 -1 1 1 1 1 -1 0 -1 0
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  7 3 3 -3 -5 9 2 7 8 2 -8 -2 -1 -5 -7 9 -7 0 2 3 1 1 6 2 6 -8 -3 -1 4 -2 1 -3 -4 3 1 0 4 1 -3 0 1 0 1 1 0 2 1 0 0 0 1 0 1 0 -1 -1 2 1 1 2 0 0 0 1
  -9 -9 4 -2 -2 -1 14 -13 0 -1 10 5 -3 2 6 -3 -6 -7 4 2 -4 7 5 0 -3 4 2 2 1 -3 -1 -2 -6 5 3 -1 3 0 -1 1 -2 1 -2 1 0 2 1 1 -1 -1 0 0 1 0 1 0 0 -1 1 0 0 1 0 1
  -15 -6 24 -6 -5 10 8 3 3 -1 0 1 -2 -8 -6 1 -5 2 3 6 6 -4 3 5 1 -3 0 -2 0 5 -3 1 1 1 0 -2 1 -1 -1 0 0 0 0 -2 0 1 1 0 -1 0 1 0 1 1 1 -1 0 -1 -1 0 1 0 0 0
  17 0 -15 10 -4 -4 -2 1 -2 1 0 -2 6 8 7 -1 -2 -6 -4 -3 -8 8 6 -1 2 -1 -2 0 5 -3 4 -1 -4 5 3 1 4 3 -2 2 0 0 1 2 -1 1 0 1 -2 -1 -1 0 1 1 -1 -1 0 -1 0 0 0 1 1 1
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  -23 4 14 -3 8 6 3 -3 1 1 5 7 -4 -10 -7 -1 -1 8 6 1 7 -7 -5 2 -5 1 1 0 -6 4 -4 1 5 -5 -3 -1 -4 -3 2 -1 -1 -1 -1 -3 0 0 1 -1 1 1 1 0 0 -1 1 2 0 2 0 0 -1 -1 -1 -1
  -12 -4 19 -7 -9 9 -1 8 1 -1 -6 -2 4 -7 -9 6 -5 3 -1 6 4 -7 2 5 1 -4 -3 -5 1 3 -1 1 3 0 1 -2 -2 -1 0 0 1 -1 2 -2 -1 1 -1 -1 -1 0 1 -1 1 1 1 0 0 -2 -1 -2 2 1 1 0
  -11 5 4 -1 6 -1 -4 0 -2 1 1 2 1 -5 -3 -1 4 6 1 0 4 -6 -7 -1 -3 2 2 0 -4 3 -2 2 5 -5 -2 0 -4 -1 2 -1 1 -1 0 -2 1 -1 0 -1 1 0 0 0 0 0 1 1 -1 0 -1 0 0 -1 0 -1
  19 -4 -6 3 -11 3 1 5 2 -1 -5 -6 3 6 2 4 -6 -7 -3 1 -6 6 11 2 6 -6 -5 -2 8 -4 4 -4 -6 7 3 0 5 2 -3 1 0 1 1 2 -1 2 0 1 -2 -1 0 0 1 1 -1 -2 1 -1 0 0 0 1 0 1
  15 9 -13 5 2 -3 -9 7 2 -1 -4 -4 0 5 3 -1 5 2 -2 -5 1 0 -3 -1 3 -2 -1 1 1 0 2 0 1 -2 -1 1 1 2 0 0 0 -1 1 0 0 -1 1 0 0 0 -1 0 -1 -1 -1 -1 0 1 0 1 -1 -1 -1 0
  16 0 -15 9 1 -5 3 -4 -2 1 5 0 -1 9 11 -5 0 -6 -1 -5 -6 10 3 -2 0 3 2 3 2 -3 2 0 -5 3 3 2 4 3 -1 2 -1 1 -1 2 0 0 1 1 0 0 -1 1 0 0 -1 0 0 0 1 1 -1 0 0 1
  64 64
  6 3 -8 2 1 -4 -4 1 -1 -2 0 -3 1 4 2 -1 3 1 -1 -3 -2 0 -2 -1 0 1 -1 1 0 -1 1 1 1 -2 0 2 -1 1 1 0 0 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0
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  -11 -7 15 -7 0 5 8 -3 1 1 0 3 -4 -6 -5 2 -2 0 2 5 5 -2 0 1 0 0 2 0 -1 2 -2 -1 0 1 -1 -3 1 -2 -1 -1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
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  1 -4 -4 -1 3 -6 2 -5 -3 -2 5 -1 -3 5 5 -6 6 -3 1 -1 -2 2 -3 -2 -2 5 3 2 -2 -1 -1 1 0 -1 0 1 0 0 1 -1 0 1 -1 0 1 -1 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 -1 -1
  7 7 -6 0 -5 2 -7 7 3 -1 -5 -5 5 1 -1 5 -1 2 -2 -2 -2 -1 0 0 3 -4 -3 -1 3 -2 1 0 0 -1 1 2 -1 2 0 0 1 -1 1 0 -1 0 -1 0 -1 -1 -1 -1 -1 0 0 -1 0 -1 -1 0 0 0 0 1
  -7 4 9 0 4 6 -5 7 -1 2 -4 0 0 -8 -9 1 2 7 0 1 6 -7 -4 2 -1 -2 -1 -2 -4 5 -1 3 6 -4 -2 0 -3 -1 1 -1 1 0 1 -2 0 -1 0 -1 1 1 1 0 0 0 0 1 0 1 0 0 0 -1 0 -1
  -8 0 9 -2 -4 8 1 4 3 0 -1 0 1 -5 -7 4 -6 3 3 3 1 -3 3 3 0 -4 -4 -3 0 0 0 -1 1 1 1 0 -1 0 0 0 0 -1 2 -1 -1 1 0 -1 -1 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0
  -24 -7 25 -7 -1 9 7 -2 0 1 2 5 -2 -11 -9 0 -4 2 4 7 6 -6 1 4 -3 0 1 -3 -4 4 -4 0 3 0 -1 -3 -2 -3 0 -1 0 0 0 -2 0 1 0 -1 0 0 2 0 1 0 1 1 0 0 0 -1 1 0 0 -1
  -5 -1 3 0 0 1 2 -3 -1 2 3 3 0 -2 1 0 -1 -1 1 1 0 1 0 -1 -1 1 2 0 -1 0 -1 -1 -1 1 0 -1 0 -1 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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  7 1 -3 1 -1 0 -2 3 -1 -1 -2 -3 0 3 1 -1 1 0 -1 -1 -1 0 1 1 1 -1 -1 0 1 0 1 1 0 0 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 0 0 -1 0
  14 3 -7 4 -7 3 -6 8 1 -1 -3 -6 3 5 3 1 -1 -1 -2 -3 -4 2 4 2 4 -4 -3 -1 4 -2 2 0 -2 2 2 2 1 3 0 1 0 0 1 0 -1 1 0 0 -1 -1 -1 0 0 0 -1 -1 1 0 0 0 0 0 -1 0
  5 0 -5 2 2 -2 1 -3 -2 1 1 0 -1 2 3 -1 2 -2 -1 -2 -1 3 -1 -2 0 2 2 2 0 0 0 0 -1 0 0 0 1 0 0 0 0 0 -1 1 0 0 0 1 0 0 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0
  -11 -7 12 0 2 4 7 -4 -1 4 4 5 -1 -7 -3 -1 -3 -1 2 5 2 1 2 0 -1 0 2 0 -2 2 -1 0 -1 3 0 -2 2 -1 -1 0 0 0 1 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 0 1 0 0 1 0
  12 7 1 -2 -10 10 -8 16 7 -1 -14 -7 3 -2 -7 9 -4 2 -3 0 2 -3 5 5 7 -10 -5 -4 5 0 1 -1 0 0 0 1 1 1 -2 1 1 0 1 0 -1 0 -1 0 0 0 0 -1 -1 0 -1 -1 1 0 0 0 0 0 0 1
  3 3 3 -1 -2 4 0 3 1 -1 -4 -1 0 -2 -3 3 -2 2 0 0 2 -1 2 2 2 -3 -2 0 1 1 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 1 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 1
  -4 5 6 2 3 7 3 2 3 3 -2 3 -1 -7 -5 4 -4 5 2 0 4 -1 0 1 0 -3 -1 0 0 3 -1 0 1 -1 -1 -1 1 0 -1 1 0 -1 0 -1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 -1 0 0
  5 2 -9 2 1 -5 -4 0 -1 -1 1 -2 2 4 3 -1 3 0 -1 -3 -3 1 -2 -2 0 1 0 1 0 -2 1 1 0 -1 0 2 -1 1 1 0 0 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0
  -1 3 0 0 3 -1 0 -3 -1 3 -2 3 0 -3 -1 1 1 -1 -1 1 1 0 -1 -2 0 1 3 0 -1 1 -2 -1 0 -1 -2 -1 0 -2 -1 0 1 0 -2 1 1 0 -1 1 1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0
  16 -3 -14 2 0 -7 3 -5 0 -2 3 -3 -3 10 9 -4 2 -7 0 -3 -7 8 3 -2 2 2 1 3 3 -5 1 -2 -6 3 1 2 4 2 -1 1 -1 2 -2 2 1 0 1 1 0 -1 -1 1 0 0 -1 -1 1 1 2 1 -1 0 -1 0
  3 -3 -8 0 4 -6 6 -7 0 -3 4 0 -4 6 5 -5 2 -4 2 -1 -3 4 0 -1 -2 3 1 2 0 -2 0 0 -2 1 0 1 2 0 -1 0 -1 2 -2 1 1 -1 1 0 0 0 0 1 0 0 0 0 0 1 1 1 -1 0 -1 0
  10 5 -3 4 -3 4 -6 7 0 0 -5 -3 2 0 -1 1 0 0 -2 -2 -1 0 3 2 2 -3 -2 -2 1 0 1 -1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 -1 0 1 1 1 0 0 0 0 0
  14 5 -18 3 2 -9 -8 0 0 0 -2 -1 0 8 7 -1 6 -2 -4 -5 -2 2 -3 -4 2 2 2 2 1 -3 2 -1 -1 -1 -2 1 0 0 1 0 0 0 -1 2 0 -1 -1 1 1 0 -1 0 -2 -1 -1 0 -1 1 0 0 -1 0 0 0
  1 -4 2 2 5 -5 0 -4 -5 2 2 3 -2 0 3 -4 4 -2 -2 1 3 1 -2 -3 0 4 4 2 -2 3 0 1 0 0 -1 -2 1 -1 0 0 0 0 0 1 1 0 -1 1 1 0 0 0 -1 0 0 0 -1 -1 -1 -1 0 0 1 0
  -4 10 2 1 2 7 -6 4 2 3 -5 2 2 -7 -8 6 -3 7 0 -1 3 -5 0 1 0 -4 -3 -2 -1 1 0 -1 3 -3 -2 0 -3 -1 1 0 0 -1 0 -1 -1 0 -1 0 1 0 0 -1 -1 -1 0 1 0 1 0 0 -1 -1 0 0
  -9 -6 13 0 1 6 8 0 2 0 3 2 -3 -5 -4 -2 -5 1 4 4 3 0 3 3 -1 -2 -1 -1 -1 3 -1 1 0 2 1 -1 2 1 -1 1 -1 0 2 -1 0 0 1 -1 -1 0 1 1 1 1 0 0 1 0 0 1 0 -1 0 0
  9 -5 -1 3 4 -1 8 -4 0 1 0 1 -6 3 1 -2 -2 -3 1 1 1 5 4 0 2 0 0 2 2 1 1 -1 -3 3 0 -1 6 1 -3 2 -1 1 0 2 1 0 1 1 0 0 0 1 0 0 -1 -1 1 0 1 1 -1 -1 0 0
  -14 6 18 -8 -5 13 -2 10 6 1 -10 0 3 -12 -14 11 -7 8 1 5 8 -10 0 5 2 -8 -4 -5 1 4 -2 0 5 -3 -1 -2 -3 -2 -1 -1 2 -2 2 -2 -1 1 -1 -1 -1 0 1 -1 0 0 1 0 0 -1 -2 -1 1 0 0 0
  11 5 -8 0 -9 0 -9 8 2 -1 -6 -6 7 4 2 5 -1 -1 -4 -2 -4 0 2 1 4 -4 -3 -2 5 -3 2 -1 -1 1 2 1 -1 2 0 0 1 -1 1 0 -1 1 -1 0 -1 -1 -1 -1 0 0 0 -1 0 -1 -1 -1 1 1 0 0
  -15 5 12 -4 0 7 -2 4 1 1 -5 3 2 -9 -10 5 -2 7 0 3 6 -9 -2 3 -2 -3 -2 -4 -2 4 -2 0 6 -4 -3 -2 -4 -4 0 -1 1 -1 0 -2 0 0 -1 -1 0 1 1 -1 0 0 1 1 -1 0 -1 -1 0 0 0 0
  -1 -1 -3 -1 6 -4 2 -7 -1 0 3 2 -4 2 2 -3 3 -1 1 0 0 1 -2 -2 -1 3 1 2 -1 0 -1 -1 0 0 -2 -1 1 -1 0 0 -1 1 -2 0 1 0 0 1 0 0 0 0 -1 -1 0 0 0 1 1 0 -1 0 -1 -1
  -7 4 9 -1 -6 9 -7 8 0 4 -6 0 7 -9 -7 7 -2 4 -3 1 3 -5 -1 1 1 -4 0 -4 0 2 -1 0 3 -1 0 -2 -4 -1 1 -1 2 -3 2 -1 -2 1 -2 -1 0 0 0 -1 -1 0 0 0 0 -1 -2 -1 1 0 1 0
  -7 7 9 -4 4 5 -4 6 2 1 -6 0 -1 -8 -10 3 1 7 1 2 7 -8 -4 2 0 -3 -1 -2 -3 4 -2 1 6 -5 -3 0 -3 -2 0 -1 1 0 0 -2 1 -1 0 -1 1 1 1 0 0 0 0 1 0 1 0 0 0 -1 -1 -1
  13 -1 -19 1 -6 -8 -2 -2 1 -3 2 -5 4 11 9 0 0 -6 -2 -4 -10 7 2 -2 1 1 -2 1 5 -7 3 -2 -5 4 4 2 1 3 0 0 0 0 0 2 -1 1 0 0 -2 -1 -1 0 0 0 0 -1 0 -1 0 0 0 1 0 0
  14 0 -7 0 -2 -4 -4 2 -1 1 -5 -3 0 4 3 1 4 -3 -4 -1 -1 2 0 -2 4 0 2 1 2 -1 1 -1 -2 1 -1 0 2 0 -1 0 1 1 -1 2 1 0 -1 1 1 0 0 0 -1 0 -1 -1 0 0 0 0 0 0 0 0
  5 5 -3 5 -2 3 -9 7 -3 3 -5 -1 6 -1 -1 3 1 3 -5 -2 1 -2 -1 0 1 -2 -1 -2 1 2 2 1 3 -1 0 -1 -2 0 1 0 1 -2 2 0 -2 0 -2 0 0 0 -1 -1 -1 0 0 0 -1 -1 -2 -1 0 0 1 0
  2 -7 1 1 -6 0 3 -1 -2 0 3 -1 2 2 3 -1 -2 -5 -1 1 -4 4 4 0 0 1 1 0 1 -2 1 0 -3 4 3 0 1 1 0 0 0 0 1 1 -1 1 0 0 -1 0 0 0 1 1 0 0 0 -1 0 0 1 1 1 1
  -12 -3 10 -2 -1 5 2 -1 1 2 4 3 0 -6 -1 -1 0 1 2 2 2 -1 -1 0 -1 0 3 0 -2 1 -2 -1 0 1 -1 -2 -1 -1 1 -1 0 -2 1 -1 -1 1 0 -1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 -1
  -5 -12 0 2 1 -7 10 -12 -5 -3 11 4 -2 6 8 -9 -1 -7 2 1 -4 6 4 0 -4 6 2 2 -1 -1 1 0 -3 4 3 -1 2 0 0 1 -2 1 0 1 0 1 0 0 -1 -1 0 0 1 0 1 1 -1 -1 0 -1 0 1 1 1
  15 -5 -8 2 -1 -5 4 -3 -1 1 1 -3 -1 6 7 -1 2 -7 -1 0 -4 8 2 -4 4 1 3 3 3 -3 1 0 -6 3 2 1 5 2 -2 0 1 1 0 2 1 0 0 1 0 -1 -1 1 0 1 -1 -2 1 -1 0 1 0 0 0 1
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  26 5 -18 -2 -3 -7 -11 11 5 -4 -12 -9 -1 10 2 2 5 -2 -5 -3 -1 0 0 0 7 -4 -3 0 5 -3 3 -1 -1 0 -1 2 2 2 -2 0 1 2 0 2 1 -1 -1 0 0 0 0 0 -2 -1 -2 -1 0 1 1 0 -1 0 -1 0
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  -5 -11 9 -1 -2 2 8 -2 -1 -2 4 1 -3 1 1 -5 -2 -4 2 3 0 2 4 3 -1 1 0 -1 0 1 0 1 -1 3 1 -1 2 0 -1 0 -1 1 0 0 0 0 1 0 -1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0
  6 9 -5 2 -4 6 -3 5 3 2 -6 -2 5 -3 -4 8 -4 3 -1 -2 -2 0 2 0 2 -5 -3 -1 3 -2 1 -2 -1 0 1 1 0 1 -1 0 1 -1 0 0 -1 1 0 0 0 0 -1 -1 0 0 0 -1 1 0 0 1 0 0 0 1
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  -18 -4 19 -7 -4 9 5 2 2 -1 1 1 -2 -7 -6 2 -2 4 3 4 6 -6 -2 4 -2 -1 0 -2 -2 3 -3 1 3 -1 0 -2 -2 -1 1 -1 0 -1 1 -2 -1 0 1 -1 0 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0
  -3 -5 1 -2 6 -7 5 -9 -2 -2 7 2 -6 3 5 -7 5 -3 3 1 0 2 -2 -3 -2 6 4 3 -3 0 -2 0 -1 -1 -2 0 1 -1 1 0 -1 1 -2 0 2 -1 1 1 1 0 0 1 0 0 0 0 0 1 1 0 0 0 -1 -1
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  -9 -3 12 0 -3 7 4 -1 -1 2 3 3 0 -5 -1 -1 -2 0 1 2 2 0 2 2 -1 0 2 -1 -1 2 -2 -1 0 1 0 -2 0 -1 0 0 0 -1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  64 64
  -4 3 -1 3 4 -1 -3 -3 -4 2 4 2 2 -2 2 -2 4 1 0 -1 0 -1 -4 -3 -2 3 3 1 -3 0 -1 0 1 -2 -1 0 -2 0 2 -1 0 -1 0 -1 0 0 0 0 1 -1 -1 0 0 0 0 0 0 1 0 0 0 0 0 0
  7 -10 0 2 -7 -2 3 1 -2 -2 3 -3 2 6 6 -3 -2 -6 -1 1 -4 6 5 1 2 0 -1 0 3 -1 3 1 -4 5 5 0 3 3 -1 1 0 0 3 1 -1 1 0 0 -2 -1 0 0 1 1 0 -1 0 -2 -1 -1 1 1 1 1
  -12 -11 12 -5 0 -1 13 -6 1 -3 7 3 -4 -1 1 -4 -3 -2 5 4 1 2 2 2 -2 2 1 1 -1 1 -1 1 -2 2 2 -1 2 0 -1 0 -1 1 0 -1 1 0 2 -1 -1 0 1 1 2 1 1 0 0 -1 0 0 1 0 0 0
  -1 4 4 -7 0 3 0 7 7 -2 -7 -3 -3 -3 -7 5 -2 5 2 1 4 -5 -2 3 2 -4 -3 -1 1 1 -1 1 2 -3 -1 1 -1 0 -1 -1 1 1 -1 -1 1 -1 1 -1 0 1 1 1 0 0 0 0 1 0 0 1 0 -1 -1 -1
  -10 -3 0 -2 1 -3 6 -8 0 -1 5 4 0 0 1 -2 -2 -2 2 1 -2 1 1 0 -4 2 1 0 -1 -2 -1 -1 0 1 0 -1 -1 -2 0 0 -1 0 -1 0 0 0 0 -1 0 0 0 0 1 0 1 1 -1 0 0 0 0 0 0 0
  -5 12 -2 -1 7 0 -10 2 1 1 -4 1 -1 -4 -5 1 5 7 0 -2 6 -8 -7 -1 -1 0 1 0 -4 2 -2 0 6 -6 -5 0 -4 -2 2 -1 0 -1 -1 -1 0 -1 -1 0 2 0 -1 -1 -2 -2 0 1 -1 2 0 0 -1 -1 -1 -1
  5 -11 -1 2 -4 -3 5 -4 -4 0 5 -1 1 6 7 -3 -1 -7 -2 1 -4 7 3 -1 1 2 1 1 3 -1 2 1 -4 5 4 -1 3 2 -1 1 0 0 2 2 -1 1 -1 1 -2 -1 0 0 0 1 0 -1 0 -2 -1 -1 0 1 1 1
  -9 -7 13 -4 -10 9 6 1 1 0 -1 0 3 -4 -5 5 -9 -2 0 5 -1 0 7 4 0 -4 -3 -4 3 0 0 -1 -1 4 3 -2 0 -1 -1 1 0 -1 2 0 -2 2 -1 0 -2 0 1 -1 1 1 1 0 0 -2 -1 -1 1 1 1 1
  -7 0 -2 -2 7 -4 3 -6 1 -1 5 3 -4 0 1 -4 3 1 3 -1 1 -1 -4 -1 -3 3 2 2 -3 -1 -2 0 1 -2 -2 0 -1 -1 1 -1 -1 1 -2 -1 1 -1 1 -1 1 0 0 1 0 -1 0 1 0 2 1 1 -1 -1 -1 -1
  1 -18 2 6 0 -4 16 -15 -7 1 15 5 -3 6 13 -10 -1 -11 1 1 -6 14 6 -3 -2 7 5 4 1 -1 1 0 -8 8 4 -2 7 2 -1 2 -2 1 0 2 0 1 1 2 -1 -1 0 1 1 1 0 -1 0 -1 1 0 0 1 1 1
  -11 0 4 2 -3 2 -4 -1 -5 1 4 2 6 -3 0 -1 1 1 -1 0 -2 -3 -1 0 -4 2 1 -2 -3 0 -1 0 3 -1 0 -1 -5 -2 3 -1 0 -2 1 -2 -2 1 -1 -1 0 0 -1 -1 1 0 1 1 -1 0 -1 -1 1 1 1 0
  -4 8 9 -3 2 4 -8 6 -1 3 -7 0 1 -8 -7 5 3 6 -1 2 7 -8 -5 -1 2 -1 2 -1 -3 4 -2 1 4 -6 -3 0 -3 -2 1 -1 2 -1 0 -1 1 0 -1 1 2 0 0 -1 -1 0 0 0 0 0 -1 -1 1 0 0 0
  -7 10 -1 3 -2 7 -8 5 2 4 -3 2 6 -6 -5 6 -4 5 -2 -2 1 -4 -1 1 -1 -4 -2 -3 0 0 0 -1 3 -1 -1 -1 -4 -1 1 0 0 -3 1 -1 -3 1 -2 -1 0 0 -1 -2 -1 -1 0 1 -1 0 -1 0 -1 0 1 1
  -16 1 12 -8 -2 7 3 1 5 0 -2 3 -2 -8 -8 5 -5 4 3 3 5 -5 0 3 -1 -3 -1 -2 -1 1 -2 -1 2 -1 -1 -2 -2 -3 0 -1 0 -1 0 -1 -1 1 0 -1 0 1 1 -1 0 -1 1 1 -1 0 0 0 0 0 0 0
  -1 1 -4 3 8 -4 4 -6 0 0 4 3 -3 1 2 -5 2 0 2 -1 0 2 -1 -1 -2 2 1 2 -1 1 -1 0 0 0 -2 0 2 0 -1 1 -1 1 -2 0 2 -1 1 0 0 0 0 1 0 0 0 0 0 1 1 1 -1 -1 -1 -1
  -15 -3 14 -7 -4 6 4 1 3 -1 -1 2 0 -7 -7 2 -4 2 2 4 2 -5 2 4 -2 -2 -1 -3 -1 1 -3 -1 2 0 -1 -2 -3 -3 0 -1 0 0 -1 -2 0 1 0 -2 0 1 1 0 1 0 1 1 0 0 0 0 1 0 0 -1
  -3 -10 14 -1 -2 4 8 0 -1 0 3 0 -3 -2 0 -3 -2 -2 2 4 2 2 3 2 1 0 1 0 0 3 -1 2 -2 2 2 -1 3 1 -1 1 0 1 1 -1 1 0 1 0 0 0 1 1 1 1 0 -1 1 -1 0 0 1 0 0 0
  10 11 -12 2 0 3 -8 8 4 -1 -5 -6 2 1 -2 4 2 4 0 -4 -2 -2 -2 0 2 -5 -4 -1 2 -3 1 -1 1 -2 -1 3 -1 2 1 -1 1 0 0 -1 0 -1 1 -1 0 0 0 1 0 0 -1 -1 1 2 1 2 -1 -1 -2 -1
  -5 7 13 2 -3 16 1 8 5 4 -5 1 1 -11 -9 8 -8 6 2 2 5 -3 3 3 2 -7 -3 -3 1 3 -1 -1 0 0 0 -1 1 1 -1 1 0 -2 1 -2 -1 1 1 0 0 0 0 0 0 0 0 -1 2 0 0 1 0 -1 0 1
  17 21 -17 4 6 1 -19 14 4 3 -13 -6 1 -1 -5 6 6 9 -4 -7 4 -6 -8 -2 4 -5 -2 0 0 1 1 1 5 -7 -4 3 -3 1 1 -1 2 -1 0 0 0 -2 -1 0 2 1 -1 0 -3 -1 -2 0 0 2 0 2 -2 -2 -1 -1
  -10 4 9 2 -1 10 -2 2 -1 5 -3 4 4 -10 -9 5 -5 3 -1 3 1 -4 3 2 -2 -3 -2 -4 -1 2 -1 -2 3 0 -2 -2 -2 -3 0 0 0 -1 0 -1 -1 1 -1 0 1 1 1 -1 1 0 0 1 0 1 1 0 0 1 1 0
  -8 5 8 -6 0 8 -2 7 5 1 -8 0 -1 -9 -12 7 -3 7 1 2 5 -7 -1 3 0 -5 -3 -3 -1 2 -1 0 4 -3 -2 0 -2 -2 0 -1 1 0 0 -1 0 -1 0 -1 1 2 2 0 0 0 0 1 0 1 1 1 0 -1 0 -1
  6 -5 -8 3 -4 -3 4 -5 -1 -1 4 0 2 6 6 -3 -2 -7 -1 -1 -8 7 6 0 -1 1 -1 0 3 -4 1 -2 -4 5 2 0 2 0 -1 1 -1 1 -1 1 0 1 0 0 -1 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0
  19 -5 -18 8 -4 -8 0 -6 -6 1 5 -2 5 11 14 -4 2 -10 -5 -5 -11 12 4 -5 1 4 3 3 4 -6 3 -1 -7 5 4 1 3 3 0 1 0 0 0 3 -1 1 -1 1 0 -2 -2 0 0 1 -1 -1 0 -1 0 0 0 1 1 1
  9 10 -12 -2 -2 -5 -15 9 2 -1 -9 -6 4 4 -1 5 4 4 -4 -3 1 -5 -6 -1 3 -2 -2 -1 1 -1 2 2 4 -4 -1 2 -4 1 1 -1 2 -1 1 1 -1 -1 -3 0 0 0 -1 -1 -2 -1 0 0 -1 -1 -2 -1 0 0 0 0
  1 -2 3 -1 -13 7 -3 6 1 -1 -4 -4 7 0 -3 5 -7 -2 -3 2 -4 -1 7 4 1 -5 -5 -5 4 -3 2 -2 0 4 3 -1 -2 1 0 0 0 -1 2 0 -3 2 -2 -1 -1 -1 0 -1 1 0 0 0 0 -1 -1 -1 1 1 1 1
  10 7 -14 -1 1 -3 -5 3 4 -3 -3 -4 -1 5 2 1 4 1 0 -5 -2 0 -3 -1 1 -1 -1 1 1 -4 0 -1 0 -2 -1 2 -1 1 1 -1 0 0 -1 0 0 -1 1 -1 0 0 -1 1 -1 -1 -1 0 1 2 1 1 -1 -1 -2 -1
  17 9 -11 -1 -4 2 -7 8 7 0 -11 -5 0 3 -2 7 -3 0 -3 -3 0 1 3 1 6 -6 -3 0 5 -2 2 -2 -2 1 0 1 2 1 -2 1 0 0 0 2 -1 1 -1 1 0 0 -1 -2 -2 -1 -1 0 0 0 0 1 -1 0 0 1
  7 6 13 0 -6 15 -1 17 6 1 -13 -4 -1 -8 -11 9 -6 7 0 2 7 -5 4 6 5 -9 -5 -4 2 5 1 1 2 -2 0 0 2 1 -2 1 1 0 1 -2 0 -1 2 0 1 2 1 1 1 1 -1 -1 2 0 0 1 1 -1 0 1
  -7 10 4 -1 2 6 -9 7 2 2 -5 2 -1 -7 -7 3 2 8 -1 -2 7 -9 -5 2 -1 -2 0 -2 -4 3 -2 0 6 -5 -4 -1 -5 -3 2 -1 0 -1 -1 -2 -1 0 -1 -1 2 2 0 -1 -2 -2 0 2 -1 2 0 0 -1 -1 0 0
  -2 -7 -3 2 10 -10 8 -12 -3 -3 12 4 -8 7 9 -12 5 -2 4 -3 0 5 -3 -2 -4 8 4 6 -4 1 -1 2 -1 0 0 0 2 1 1 1 -3 1 -1 0 1 -1 2 0 0 0 -1 1 0 -1 0 1 0 1 1 0 -1 -1 -1 -1
  15 6 -10 6 -1 -1 -9 7 -1 1 -4 -5 4 3 2 1 2 0 -3 -3 -3 1 0 -1 3 -2 -2 0 2 -1 2 0 -1 0 1 2 0 3 0 0 1 0 1 0 0 0 0 0 0 -1 -1 0 0 0 -1 -1 1 0 0 0 0 0 0 0
  -3 -1 4 -4 4 0 5 -2 3 -1 -1 1 -5 -2 -3 0 1 1 3 2 3 -1 -1 0 0 0 1 1 -1 1 -2 0 0 -1 -2 0 2 -1 -1 0 0 1 -1 0 2 -1 1 0 0 1 1 1 0 0 0 0 1 1 1 1 0 -1 -1 -1
  1 -6 8 -1 -9 8 4 3 1 -1 -1 -3 2 -2 -3 3 -6 -4 1 5 -2 1 8 3 2 -5 -3 -3 3 -2 1 -3 -3 5 3 -1 2 1 -1 0 0 0 3 0 -1 2 0 -1 -1 -1 1 0 2 1 0 -1 1 0 0 0 1 1 0 1
  -2 7 4 -6 2 3 -3 7 6 -2 -6 -3 -3 -4 -7 4 1 6 3 1 5 -7 -4 2 2 -4 -2 -1 -1 1 -2 1 3 -5 -3 2 -2 -1 0 -1 1 1 -1 -2 2 -1 1 -1 1 1 1 1 0 0 0 0 1 1 0 1 0 -1 -2 -1
  3 -8 7 0 4 -1 6 -4 -5 1 0 2 -5 -1 0 -4 4 -3 -1 3 3 1 1 -1 0 3 4 1 -2 3 -1 0 0 0 -2 -2 3 -2 -1 0 0 2 -1 1 2 -1 0 1 2 1 1 1 0 1 -1 0 0 1 1 0 0 0 0 0
  4 -10 1 2 -8 -1 4 0 -2 -2 3 -2 3 5 5 -2 -3 -6 -1 1 -5 5 6 1 1 0 -1 -1 3 -2 2 0 -4 5 4 0 2 2 -1 1 0 0 2 1 -1 1 0 0 -2 -1 0 0 1 1 0 -1 0 -2 -1 -1 1 1 1 1
  2 -8 -5 0 2 -10 5 -10 -4 1 5 4 -2 6 8 -5 3 -7 -2 0 -3 6 0 -4 -1 7 5 3 0 -1 0 0 -3 2 0 -1 2 -2 -1 0 0 1 -2 3 1 0 -1 2 0 0 0 0 -1 0 0 0 -1 -1 0 -1 0 1 1 0
  12 0 -11 5 -1 -3 -3 1 -1 2 0 -1 1 5 5 0 0 -3 -3 -3 -3 5 1 -2 2 0 0 1 2 -2 3 0 -3 2 2 1 2 2 -1 1 0 0 1 2 -1 0 -1 1 0 0 0 0 -1 0 -1 0 0 0 0 0 -1 0 1 1
  -2 -5 4 -2 1 -1 3 -3 -1 -1 2 0 -3 1 0 -2 1 -1 1 2 2 0 0 0 0 1 1 1 -1 1 0 0 0 1 0 -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
  -7 -7 -2 -1 4 -7 10 -15 -4 -2 10 5 -3 3 5 -6 1 -6 3 1 -4 4 2 -2 -5 6 3 3 -2 -3 -1 -3 -2 2 0 -1 1 -3 0 -1 -2 1 -2 1 1 1 1 0 0 0 0 0 2 0 1 1 -1 1 1 0 0 1 0 0
  -20 1 19 -3 -3 10 0 7 4 -1 0 2 1 -10 -9 1 -4 8 4 3 6 -8 0 6 -2 -4 -3 -4 -3 5 -2 1 5 -2 -1 -1 -3 -1 1 0 0 -2 1 -4 -1 0 1 -2 -1 1 1 0 1 0 1 1 0 0 -1 0 1 -1 0 -1
  3 -11 2 1 -7 -2 6 -2 -2 -2 4 -1 2 5 6 -3 -2 -6 -1 1 -4 6 5 1 1 1 0 0 3 -1 2 0 -4 5 4 -1 3 2 -1 1 0 0 1 1 -1 1 0 0 -2 -1 0 0 1 1 0 -1 0 -2 -1 -1 1 1 1 1
  -16 4 11 1 2 6 -3 4 0 1 2 2 1 -7 -5 -1 0 8 2 0 5 -7 -4 3 -3 -1 -1 -2 -4 5 -2 3 6 -4 -2 0 -4 -1 2 0 0 -1 0 -4 -1 -1 0 -1 0 1 0 0 0 0 1 1 -1 0 -1 0 0 -1 0 -1
  0 -1 -3 -2 3 -3 2 -5 1 -1 2 1 -4 3 2 -2 2 -1 1 -1 0 1 -1 -1 0 2 1 2 0 -1 -1 -1 -1 0 -2 0 1 -1 0 0 -1 1 -2 1 0 0 0 1 0 0 0 0 -1 -1 0 0 0 1 1 0 -1 0 -1 -1
  3 -3 -1 1 3 -1 6 -2 2 1 0 2 -4 1 0 -1 -2 -1 1 0 0 3 2 0 0 0 0 1 1 0 0 0 -2 1 0 0 3 0 -2 1 0 1 -1 1 1 -1 1 0 0 1 1 1 0 0 -1 0 1 0 1 1 -1 -1 0 0
  10 11 -14 6 6 -5 -13 5 -1 2 -3 -2 1 2 2 -1 8 5 -3 -6 1 -2 -7 -4 1 1 1 2 -2 1 1 1 3 -4 -3 2 -2 1 2 -1 1 -1 0 0 0 -2 -1 0 1 1 -1 0 -2 -1 -1 0 -1 1 0 1 -1 -1 0 -1
  2 -4 -2 1 -3 0 6 -5 -1 0 3 0 2 2 3 1 -3 -5 0 1 -5 5 4 -1 0 0 0 0 3 -3 0 -2 -4 3 2 0 2 0 -1 1 0 0 0 1 0 1 0 0 -1 -1 0 0 1 1 0 -1 1 -1 0 0 0 1 0 1
  -2 1 7 -3 -8 10 -1 9 5 1 -8 -2 2 -5 -9 9 -8 3 -1 2 2 -4 4 4 2 -7 -5 -4 3 0 1 -1 1 1 1 -1 -1 -1 -1 0 1 -1 2 0 -2 1 -1 -1 -1 1 1 -1 0 0 0 0 0 -1 -1 0 0 0 1 1
  14 2 -17 6 2 -10 -2 -2 0 1 -1 1 1 8 7 -2 1 -4 -3 -4 -4 6 1 -3 1 2 1 2 2 -2 3 0 -2 1 0 1 2 0 -2 1 0 0 -1 3 0 -1 -1 1 0 0 -1 0 -1 0 -1 0 -1 -1 -1 0 -1 0 1 1
  5 8 -10 -1 -2 0 -9 5 2 0 -5 -4 5 1 -1 5 1 2 -3 -3 -2 -2 -3 -1 1 -2 -2 -1 2 -3 1 0 1 -1 1 1 -3 2 1 -1 1 -1 1 0 -1 0 -1 -1 0 -1 -1 -1 -1 -1 0 0 0 0 0 0 0 0 0 0
  19 -5 -11 2 -10 -3 1 3 3 -4 -2 -5 1 11 8 -1 -3 -8 -2 -2 -6 8 9 2 5 -3 -2 0 6 -5 4 -2 -7 6 4 1 5 3 -2 2 -1 1 1 2 -1 1 0 0 -1 -1 -1 -1 0 0 -1 -1 0 -1 0 0 0 1 0 2
  -11 1 9 -7 4 2 -3 0 0 0 -3 1 -3 -6 -8 1 3 3 1 4 6 -8 -4 1 -1 0 1 -2 -4 2 -3 0 5 -4 -4 -1 -3 -3 1 -1 0 1 -1 -1 1 -1 -1 0 2 0 1 0 -1 -1 0 1 0 2 1 -1 0 0 -1 -1
  0 6 -2 -1 -1 4 0 2 6 1 -4 1 0 -3 -5 6 -6 2 2 1 0 -1 3 1 1 -4 -4 -1 2 -2 1 -3 -1 1 0 0 1 0 -1 0 0 0 0 0 0 1 1 0 0 0 1 0 1 -1 0 0 1 1 1 1 0 0 0 0
  -15 -11 10 -9 -2 -2 9 -9 -2 -3 6 3 -3 0 1 -3 0 -4 2 4 0 0 0 1 -4 5 3 0 -2 -1 -2 0 0 1 1 -2 -1 -2 1 -1 -1 1 -1 0 0 0 0 0 0 0 1 0 1 0 1 1 -1 0 1 -1 1 1 0 0
  -17 -2 23 -5 -4 12 4 7 4 -1 -1 0 -2 -9 -9 3 -5 7 4 5 8 -7 0 6 0 -4 -3 -3 -1 6 -2 2 4 -1 0 -2 -1 0 0 0 0 -1 2 -3 -1 0 1 -1 -1 1 1 0 1 0 1 -1 0 -1 -1 0 1 0 0 0
  4 -1 -5 7 1 -2 0 -2 -3 0 5 0 1 4 5 -5 0 -2 0 -2 -4 4 2 0 -2 2 -1 1 0 0 1 1 -1 2 2 1 2 2 0 2 -1 0 1 0 0 0 1 0 -1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0
  5 -3 -3 -3 -2 -2 5 -1 2 -2 -2 -1 -2 2 0 1 -1 -3 0 1 -2 2 3 1 1 -1 -1 0 2 -2 1 -2 -2 2 0 0 2 -1 -2 -1 0 2 -2 1 1 0 1 0 0 1 1 1 1 1 0 0 0 0 1 1 0 0 0 0
  -8 12 3 -1 5 7 -1 4 6 2 -4 3 -1 -8 -8 6 -4 8 3 -1 5 -5 -3 2 -1 -4 -2 -1 -1 2 -2 0 3 -4 -2 0 -2 -1 0 0 0 -1 -1 -2 0 0 1 -1 0 1 0 0 0 -1 0 1 1 1 0 1 -1 -1 -1 0
  -23 -4 23 -5 -3 7 5 -1 -3 0 3 4 2 -9 -6 1 -4 4 2 5 4 -6 0 4 -4 1 0 -3 -3 5 -3 2 4 -2 0 -2 -4 -3 1 0 0 -1 0 -3 0 1 0 -1 0 1 1 -1 2 1 2 1 -1 -2 -1 -2 2 1 1 0
  -19 -1 15 0 2 5 7 -5 -3 2 4 7 1 -9 -4 0 -3 4 3 3 3 -3 0 1 -5 2 2 -1 -4 4 -2 1 3 -2 -1 -2 -2 -3 1 0 0 -1 -1 -2 0 0 1 0 1 1 0 0 2 1 2 1 -1 -1 -1 0 1 0 1 0
  8 -12 -10 4 1 -11 7 -11 -6 -2 11 0 -1 11 13 -9 4 -10 0 -1 -8 10 2 -4 -1 7 3 4 1 -4 2 0 -6 5 3 1 4 2 0 0 -1 2 0 2 1 0 1 1 -1 -1 0 1 1 1 0 -1 0 0 1 0 0 1 0 0
  16 2 -11 8 4 -3 -3 1 -2 1 0 -2 -1 5 6 -4 5 -2 -1 -3 -1 5 0 -3 3 0 1 2 1 0 2 0 -3 1 0 1 5 3 -1 1 0 0 1 1 1 -1 1 1 0 -1 -1 1 -1 0 -1 -2 1 1 1 1 -1 -1 -1 0
  5 -1 -7 1 -2 -2 5 -4 2 -1 2 0 -1 4 4 0 -3 -4 1 -1 -4 5 4 0 0 0 0 1 2 -4 1 -2 -4 3 2 1 3 1 -1 1 -1 1 -1 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1
  64 64
  10 -12 -9 2 4 -14 6 -12 -7 1 10 1 -2 11 17 -9 8 -11 -2 -2 -6 12 -3 -8 1 10 9 6 1 -2 -1 3 -7 2 2 1 4 2 0 1 1 1 -1 3 2 -1 -1 2 0 -2 -1 1 -2 1 -1 -2 0 -2 0 -1 0 1 0 0
  -6 9 11 -9 -13 16 -6 13 8 -3 -12 -7 6 -8 -15 14 -11 6 1 4 1 -10 6 8 3 -12 -10 -7 5 -2 -1 -4 3 0 1 0 -5 0 0 -1 1 -1 2 -2 -2 3 -1 -2 -2 -1 1 -2 1 -1 1 0 1 -1 -1 -1 1 1 -1 0
  -12 -6 -3 -7 0 -10 1 -11 -3 -5 8 0 1 5 4 -6 3 -4 2 2 -5 -1 -2 -1 -5 6 1 1 -2 -4 -1 -1 1 1 1 0 -4 -1 2 -2 -1 1 0 0 0 1 -1 -1 -1 -1 0 -1 1 -1 2 1 -2 0 0 -1 1 2 0 -1
  -20 -2 -2 -7 8 -14 1 -15 -6 -1 9 6 1 -1 2 -5 6 0 2 1 -2 -3 -8 -5 -8 10 6 3 -7 -2 -2 0 3 -4 -1 0 -6 -4 3 -3 0 0 -2 0 1 0 -1 -1 1 0 0 -1 1 0 2 3 -3 0 0 -1 1 1 1 -1
  -4 -10 -7 5 9 -15 10 -20 -7 0 15 8 -4 7 14 -13 7 -8 2 0 -4 9 -2 -7 -5 12 8 6 -4 -1 0 0 -4 3 -1 -1 4 -1 0 0 -2 1 -2 2 2 -1 1 2 1 0 -1 1 1 0 1 -1 -1 1 1 1 0 1 1 0
  5 2 0 15 9 1 -2 -1 -7 7 5 5 -1 -2 5 -7 6 2 -2 -4 2 3 -3 -4 -1 4 5 2 -4 6 -1 3 1 -2 -3 0 2 0 1 2 0 -1 -1 -1 1 -2 1 2 2 1 -1 2 -1 1 -1 -1 1 1 0 1 -1 -2 0 -1
  7 7 0 -8 -10 8 -1 8 8 -5 -9 -7 1 1 -5 10 -8 1 1 0 -1 -2 5 5 4 -8 -7 -3 6 -4 0 -3 -1 0 2 1 -1 1 -1 0 0 0 0 0 -1 2 0 -1 -1 -1 0 -1 0 -1 0 0 1 -1 0 -1 0 1 -2 1
  -2 4 10 0 -9 19 3 10 8 0 -6 -1 0 -7 -10 9 -13 4 2 2 3 -2 9 8 2 -11 -9 -5 4 0 2 -3 0 4 2 -2 2 1 -2 1 -2 -1 2 -1 -3 2 1 -1 -1 1 1 -1 1 -1 0 0 1 1 1 1 -1 0 0 2
  -6 0 -14 3 18 -26 -9 -13 -11 3 11 6 -1 6 13 -14 19 -1 -2 -4 0 0 -18 -12 -6 17 13 7 -10 2 -2 6 4 -8 -4 2 -5 -2 4 -2 2 0 -2 1 3 -4 -2 1 3 0 -1 1 -2 0 0 1 -3 0 -1 -1 0 0 1 -2
  12 11 -4 -9 -11 7 -18 23 11 -6 -18 -14 2 2 -11 10 -2 6 -2 0 3 -11 0 8 7 -12 -11 -6 5 -2 2 -1 5 -2 0 2 -4 3 0 -1 1 0 3 -1 -2 0 -1 -2 -1 0 1 -1 -1 -2 -1 0 1 1 0 -1 0 0 -2 -1
  11 -1 -11 13 5 -5 1 -8 -7 8 6 4 4 3 11 -3 2 -6 -5 -4 -5 11 0 -8 1 5 6 4 2 0 1 1 -6 3 1 0 4 2 -1 2 1 -1 -1 3 0 0 -2 3 0 -2 -2 0 -2 1 -1 -2 0 -2 -1 0 -1 0 2 1
  -10 -2 24 1 -9 20 3 9 1 5 -5 2 4 -13 -11 8 -11 3 -1 5 4 -3 8 6 2 -8 -3 -6 2 5 -2 0 1 2 1 -3 0 -1 -1 2 1 -2 2 -2 -2 2 -1 0 -1 0 1 -1 0 1 0 0 1 -2 -1 -1 1 0 1 1
  25 -8 -17 15 9 -13 9 -10 -6 2 9 2 -6 13 19 -12 7 -9 -2 -6 -4 17 0 -8 1 9 7 8 1 1 3 3 -8 4 2 1 10 5 -2 3 -1 1 -1 4 2 -3 2 3 1 0 -2 3 -1 1 -2 -3 1 -1 1 2 -1 -1 1 1
  -14 6 3 9 12 0 -5 -4 -5 4 5 8 -1 -7 -4 -7 4 7 1 -1 4 -6 -4 0 -7 4 1 0 -8 6 -1 0 7 -3 -5 -2 -3 -3 2 0 -2 -1 -1 -2 0 -1 1 0 2 2 0 0 1 -1 1 2 -1 3 1 1 -1 -1 1 -2
  7 -15 -8 -1 1 -13 11 -13 -3 -5 10 0 -6 13 13 -11 5 -11 2 1 -6 9 2 -3 -1 7 4 4 0 -4 1 0 -5 4 1 1 5 0 -1 0 -2 3 -1 2 2 -1 1 1 0 0 0 2 1 1 0 -1 0 1 1 1 0 1 -1 0
  -14 -11 -10 3 13 -18 10 -23 -7 1 18 10 -3 5 10 -13 5 -6 3 -1 -6 7 -4 -7 -9 13 7 6 -6 -3 0 0 -2 2 0 0 0 -2 1 -1 -2 1 -2 2 1 -1 0 0 0 0 0 1 1 0 1 2 -2 1 1 1 -1 0 2 -1
  -17 1 11 -9 -6 5 -5 6 4 -1 -5 -1 3 -7 -12 6 -6 5 1 5 2 -10 0 5 -2 -4 -5 -5 -1 0 -1 -1 6 -1 0 -1 -7 -2 1 -2 1 -1 2 -1 -2 1 -2 -2 -1 1 2 -1 1 -1 1 2 -1 -1 -1 -1 1 1 1 -1
  -12 -8 1 -1 7 -13 1 -11 -7 2 9 7 -1 1 6 -9 9 -3 0 3 0 -1 -6 -5 -4 9 8 3 -6 1 -1 1 1 -1 -3 -1 -1 -4 1 -2 0 1 -1 1 2 -1 -1 0 2 1 1 0 1 1 1 0 -2 1 0 0 0 1 1 -1
  0 -24 6 -3 2 -4 24 -14 -1 -3 14 2 -10 7 10 -9 -3 -11 6 3 -4 14 5 -1 -1 6 3 5 2 -2 0 1 -9 8 6 -1 8 4 -2 1 -2 2 1 2 1 0 3 0 -2 -1 1 3 1 1 -1 -1 2 -1 2 1 0 0 0 0
  3 -8 -6 8 1 -8 4 -11 -9 5 9 6 3 4 12 -6 4 -8 -4 -1 -6 9 1 -7 -2 8 8 3 -1 -1 1 0 -5 3 1 -1 3 -1 0 1 0 -1 -1 3 0 0 -1 2 1 0 -1 0 0 2 0 -1 -1 -1 0 0 0 1 2 1
  25 5 -11 8 -1 -1 -13 17 2 3 -14 -4 -1 4 -1 2 5 2 -8 -4 5 -1 -1 1 6 -4 -1 -1 1 4 5 2 2 -1 -2 0 3 1 -2 1 1 0 1 2 -1 -3 -1 1 2 3 0 0 -2 0 -3 0 0 1 0 1 -1 -1 2 1
  -5 11 1 4 2 4 -17 13 0 4 -9 2 3 -8 -11 3 3 10 -4 0 8 -12 -4 3 -1 -4 -3 -4 -5 5 3 0 9 -4 -4 -2 -4 -3 1 -1 0 -2 2 -1 -2 -1 -1 -1 2 3 1 -2 0 -1 0 2 -2 3 0 0 -1 -1 2 0
  3 8 -6 0 0 2 -8 11 8 0 -9 -2 -1 -2 -8 5 -2 6 0 -1 4 -6 -1 3 2 -6 -5 -2 0 0 3 -1 3 -1 -2 1 -1 0 -1 -1 0 0 1 0 -1 -1 0 -1 0 2 1 0 0 -1 -1 1 0 2 0 2 -1 -1 1 0
  3 -1 5 -6 -6 0 2 1 2 1 -8 -1 4 -4 -4 8 -4 -4 -1 6 -1 1 5 -1 5 -3 1 -1 4 -2 0 -3 -5 2 1 0 3 0 -3 0 3 0 0 3 2 1 -1 1 0 -2 1 -1 1 1 0 -2 1 -2 0 -1 2 1 1 1
  -8 10 15 -1 -3 14 -3 4 0 4 -7 1 5 -14 -12 11 -6 8 -1 2 5 -7 2 1 1 -6 -2 -3 0 3 -3 -3 3 -3 -2 -2 -3 -2 1 0 1 -3 0 -2 -1 2 -1 0 1 -1 -1 -1 0 0 1 0 1 -1 -1 -1 1 -1 0 0
  0 3 -2 1 7 -3 -2 1 1 3 -2 3 -3 -4 -3 1 3 4 0 -1 5 -2 -5 -3 0 1 2 2 -3 1 0 0 1 -2 -2 0 0 0 0 -1 1 0 0 1 1 -2 0 -1 2 1 1 1 -1 -1 -1 0 0 1 1 1 -1 -2 1 0
  2 -15 -15 5 9 -24 9 -21 -11 -1 20 5 -1 14 23 -18 13 -13 1 -3 -10 13 -5 -10 -4 16 12 8 -3 -4 0 2 -7 2 1 2 3 0 1 -1 0 2 -3 2 3 -1 1 1 0 -2 -1 2 1 2 0 -1 -1 0 0 0 0 1 0 -1
  -5 16 18 -1 -11 28 -8 24 11 1 -18 -4 4 -17 -23 17 -14 15 1 2 9 -13 7 11 3 -17 -12 -9 2 4 1 -2 6 -2 0 -1 -3 1 0 1 0 -3 3 -4 -3 1 1 -2 0 2 1 -1 1 -1 0 1 2 1 0 1 1 -2 0 1
  -5 -20 -3 -5 -6 -13 10 -12 -5 -4 11 1 2 9 12 -8 3 -12 -1 3 -7 8 1 -3 -3 8 5 2 1 -5 2 0 -5 7 5 -2 1 1 0 -2 0 1 1 2 -1 1 -1 -1 -2 -1 0 0 1 1 1 0 -2 -2 -1 -1 2 2 2 1
  17 -3 -21 16 13 -14 1 -8 -8 5 9 4 -2 9 15 -11 9 -5 -4 -8 -4 12 -5 -9 -2 9 7 6 -2 1 2 4 -3 0 0 1 4 2 0 2 0 0 -1 2 1 -3 0 1 1 0 -2 3 -2 1 -2 0 0 0 0 1 -2 -2 1 0
  12 2 -9 -1 -7 -3 -5 3 -1 -4 -4 -7 5 7 3 1 0 -4 -3 -2 -6 1 3 1 2 -1 -3 -2 4 -4 1 -1 -1 0 2 2 -2 1 0 0 1 1 -1 0 0 1 -1 0 -1 -2 -1 0 0 0 0 0 0 -1 -1 -2 1 1 -1 0
  -1 1 -6 -7 4 -7 3 -6 2 -2 1 -1 -2 3 2 1 2 -1 2 -1 -2 1 -4 -3 0 3 2 3 1 -3 -2 0 -2 -2 0 2 -1 0 0 -1 1 1 -2 1 2 0 0 0 -1 -1 0 0 -1 0 0 0 0 -1 0 0 0 0 -1 -1
  -9 -11 10 -3 -4 2 8 -1 2 -3 4 2 -3 1 -1 -4 -5 -3 3 4 1 0 5 5 -1 -1 -2 -2 0 0 1 0 0 4 1 -2 1 -1 -1 0 -2 1 1 -1 -1 1 1 -1 -1 0 1 1 2 0 0 1 0 1 0 0 0 0 0 0
  -28 -15 21 -12 -7 4 12 -7 2 -5 8 4 -2 -3 -4 -2 -7 -2 6 8 0 -5 4 6 -5 1 -2 -3 -1 -2 -3 -2 1 4 1 -3 -4 -3 1 -2 -2 1 1 -2 -1 2 0 -3 -1 0 2 0 3 -1 2 1 0 0 0 -1 1 2 0 -1
  -29 -12 21 -7 -2 0 7 -8 -4 2 6 8 2 -9 -5 -1 -4 -1 1 8 2 -4 0 1 -6 4 4 -2 -5 3 -3 1 3 1 0 -4 -4 -5 1 -1 0 -1 1 -1 -1 1 -2 -1 0 1 1 -1 2 1 2 2 -2 -2 -1 -1 2 2 3 0
  16 -12 -19 5 -5 -13 6 -6 -1 -4 7 0 -1 18 17 -10 2 -13 -3 -4 -9 12 5 -1 0 5 2 2 4 -6 4 0 -6 7 3 0 4 1 -2 1 -2 2 -1 3 -1 0 0 0 -1 0 -1 1 0 0 -1 0 -1 0 0 0 -1 1 0 1
  -9 -1 8 -4 -4 8 10 -1 6 -3 1 0 0 -3 -5 4 -10 0 5 3 -1 0 6 5 0 -5 -5 -2 4 -2 -1 -2 -2 4 2 0 1 1 -2 0 -1 1 0 -1 0 2 2 -1 -3 -1 1 0 2 0 1 -1 1 -1 0 1 0 0 -1 0
  7 19 -2 3 -3 14 -15 20 7 1 -13 -6 3 -7 -12 10 -2 12 -1 -5 5 -9 -1 5 4 -11 -7 -4 1 2 1 -1 5 -5 -2 2 -3 1 1 0 1 -2 1 -3 -2 0 1 -1 0 1 0 -1 -1 -1 -1 1 1 2 0 1 -1 -2 -1 0
  1 8 11 -9 -14 11 -13 22 7 -2 -19 -8 7 -7 -14 14 -6 5 -4 5 6 -11 2 7 6 -11 -7 -8 4 2 1 0 5 -2 1 -1 -4 0 -1 -1 3 -2 4 -1 -2 1 -2 -2 -1 0 1 -2 0 0 0 0 0 -2 -2 -2 2 1 1 1
  -1 -2 11 0 -6 10 2 4 2 0 -2 0 -1 -3 -4 2 -5 2 0 1 2 -1 5 4 1 -4 -3 -2 1 2 -1 -1 1 2 0 -2 0 0 0 1 -1 -1 1 -1 -2 1 0 0 0 1 0 0 0 -1 0 0 1 0 0 0 0 0 0 0
  1 -3 -1 6 2 -4 2 -8 -5 3 2 7 0 0 4 -4 1 -5 -3 0 -1 3 4 -2 -1 4 5 1 -2 1 0 -3 -3 2 -3 -2 2 -4 -1 1 -1 1 -3 1 1 1 -1 2 2 0 -1 -1 0 0 0 1 -1 1 0 0 0 1 2 1
  12 1 -9 13 1 -1 -8 5 -4 3 1 -3 4 3 2 -4 1 0 -3 -2 -3 2 2 -1 1 -2 -3 -1 0 1 4 1 1 2 1 2 1 3 0 1 0 0 3 0 -1 -1 -1 0 -1 0 0 1 0 1 -1 -1 0 0 -1 1 -1 -1 1 0
  -6 2 8 -5 -2 3 1 2 2 -3 -3 -2 1 -4 -6 3 -3 3 3 3 2 -5 1 3 0 -3 -3 -2 0 0 -1 -1 2 -2 0 1 -2 0 0 -1 1 1 0 -1 1 0 0 -1 0 -1 1 0 1 0 1 0 0 -1 -1 -1 1 0 -1 0
  16 8 -11 12 1 2 -11 7 -3 6 -5 -3 6 0 0 1 1 1 -6 -3 -2 2 1 -2 3 -4 -2 -1 2 2 3 1 1 1 0 1 1 2 -1 1 1 -1 2 1 -1 0 -2 1 0 0 -1 0 -1 1 -1 -1 0 0 -1 1 -1 -1 1 0
  -19 10 22 -3 -3 17 -11 17 3 2 -9 -1 4 -16 -18 7 -4 13 1 3 10 -16 -3 8 -1 -8 -5 -7 -4 7 -2 2 10 -6 -2 -1 -7 -2 2 -1 1 -2 2 -5 -2 0 0 -2 1 1 1 -1 1 0 1 2 0 1 -1 -1 1 -1 0 -1
  3 -3 -5 1 14 -13 9 -8 0 -2 3 6 -11 4 4 -10 6 -2 4 0 4 4 -3 -2 -2 7 5 5 -5 3 1 2 0 -2 -3 0 5 -2 -3 0 -1 3 -3 2 4 -3 3 1 2 2 1 2 1 0 -1 1 -1 2 2 2 -1 -1 0 0
  10 4 -12 6 1 -3 -6 1 -1 -1 1 -4 2 7 5 -3 3 1 -2 -5 -3 1 -1 -1 1 0 -2 1 2 -1 2 1 0 0 0 2 0 3 1 1 -1 0 0 0 -1 0 0 1 -1 -1 -2 0 -1 0 0 -1 0 0 -1 0 -1 -1 -1 -1
  -2 -11 13 -1 -2 2 13 -3 -1 0 3 3 -5 -1 3 -2 -3 -4 2 4 3 5 3 1 0 2 3 1 0 3 0 2 -3 2 2 -2 5 0 -2 1 0 1 0 1 1 -1 1 1 1 1 1 1 1 1 0 -1 0 -2 0 0 1 1 1 2
  -25 0 10 1 13 0 15 -16 -1 1 11 13 -6 -8 -3 -4 -4 5 7 1 5 -1 -2 0 -9 6 2 3 -6 3 -2 -1 2 -1 -2 -3 0 -3 0 0 -3 0 -3 -1 1 0 3 0 1 1 0 0 2 -1 2 2 -1 1 1 1 -1 -1 1 0
  9 -5 -6 7 -1 -2 11 -7 -1 -2 7 0 -1 5 10 -4 -1 -6 2 -3 -4 11 4 -3 0 3 3 4 2 -2 2 -1 -8 5 4 1 6 4 -1 1 -1 0 0 1 0 0 3 1 -1 -1 -2 1 1 1 0 -2 1 -1 0 2 1 0 1 2
  -1 13 -12 -2 19 -15 -10 -4 -3 -1 1 2 -6 2 2 -5 17 10 1 -6 6 -7 -18 -7 -4 9 5 6 -8 3 -3 4 8 -12 -7 2 -5 -2 4 -2 1 0 -3 -1 4 -4 1 0 3 2 0 1 -2 -2 0 1 -1 2 1 0 -1 -2 -2 -3
  4 5 11 -3 -13 14 -5 17 8 -1 -14 -7 5 -7 -12 10 -8 4 0 5 2 -6 8 7 6 -12 -7 -6 5 1 1 -2 1 2 1 0 0 2 -2 0 2 -1 3 -1 -1 1 0 -1 -1 0 1 0 2 0 0 -2 2 -1 -1 1 2 0 0 0
  -4 6 1 7 10 -3 -15 7 -6 6 1 3 -1 -4 1 -6 15 8 -4 -5 8 -7 -15 -4 -2 5 7 1 -9 8 -3 6 9 -9 -6 0 -5 -3 4 -1 2 -2 0 -3 0 -4 -1 0 3 3 0 1 -3 0 -1 1 -1 2 -1 0 -1 -2 0 -2
  -33 14 40 -13 -1 23 -14 24 7 3 -20 2 1 -29 -34 15 -5 22 3 11 21 -29 -5 11 0 -12 -6 -10 -8 12 -4 1 16 -11 -7 -3 -10 -6 2 -3 3 -2 3 -6 0 -1 -1 -3 3 3 4 -2 1 -1 1 3 0 2 -1 -1 2 -1 1 -1
  12 15 -13 -2 -1 -2 -26 15 0 -1 -13 -6 3 2 -4 3 11 7 -7 -5 4 -11 -7 1 3 -3 -3 -3 -2 0 2 -1 8 -7 -5 0 -6 -2 3 -2 1 -1 0 -1 -1 -1 -3 -1 3 1 0 -2 -3 -3 -1 2 -2 4 1 -2 -1 0 -1 -1
  -12 -9 5 0 -4 -2 1 -8 -8 -1 9 1 4 1 3 -6 2 -2 -2 1 -4 -2 0 0 -6 5 1 -1 -2 -1 -1 -1 3 2 1 -2 -5 -1 3 -2 -1 0 0 -1 -2 1 -2 -1 0 0 0 0 1 0 2 1 -2 -1 -1 -1 1 1 1 -1
  18 7 3 1 -6 12 -3 17 7 -1 -17 -7 -2 -3 -12 9 -7 3 -1 3 5 -4 8 7 7 -12 -9 -5 5 2 3 -2 1 1 -1 0 4 1 -4 1 1 2 1 0 1 0 1 0 0 1 2 1 1 0 -2 -1 2 1 1 1 0 -1 -1 1
  4 2 -16 -2 4 -10 -3 -5 1 -2 3 0 -1 6 6 -3 6 -2 0 -4 -3 3 -4 -4 -1 3 3 4 -1 -4 1 -1 -2 0 0 1 0 0 1 -1 -1 0 0 1 0 0 0 -1 0 0 -1 -1 -1 -1 0 1 -1 2 1 1 -1 0 0 0
  13 -18 -13 3 5 -24 9 -17 -11 -2 11 3 -4 16 21 -16 11 -16 -3 0 -7 13 -1 -8 -2 15 11 6 -2 -2 2 2 -6 2 1 0 5 -1 -1 0 0 3 -3 4 3 -2 -1 2 2 -1 -1 2 0 2 -1 0 -2 -1 0 -1 1 2 1 1
  12 -8 -2 3 -5 0 5 -3 -2 2 -5 1 0 2 -1 2 -5 -7 -6 3 -2 6 10 1 2 -2 -2 -1 4 0 3 -3 -3 7 1 -4 6 -1 -4 2 -1 1 0 4 -1 1 -2 2 0 1 0 -1 0 0 0 0 -1 -1 1 0 0 1 3 2
  -4 1 1 5 4 1 2 -8 -3 5 3 5 3 -4 0 0 -2 -1 -1 2 -1 3 2 -3 -1 1 1 1 0 1 0 -1 -1 3 -1 -2 2 0 -1 1 -1 -1 0 1 0 1 -1 2 0 -1 -1 -1 0 0 1 -1 0 0 0 0 0 0 1 0
  7 23 -2 -12 -15 12 -25 28 12 -3 -26 -13 10 -5 -18 21 -5 12 -5 -1 4 -17 -1 8 8 -16 -11 -8 6 -2 1 -2 7 -6 -1 2 -9 0 1 -2 3 -2 2 -2 -3 2 -3 -2 -1 0 0 -4 -1 -2 0 1 0 -1 -2 -2 1 1 -1 0
  9 -7 1 2 2 2 12 -6 1 -1 7 -1 -6 6 8 -5 -2 -7 5 1 -4 10 5 -1 3 1 1 3 4 -1 -1 0 -7 4 2 1 7 3 -2 2 -1 1 0 1 2 1 3 2 -2 -2 0 2 0 1 -1 -3 3 0 1 1 -1 0 -3 -1
  -3 -5 3 -1 6 -7 1 -3 -1 -1 2 2 -6 0 1 -7 7 0 2 4 5 -2 -4 -2 -1 4 3 2 -4 3 0 1 2 0 -3 -2 2 0 0 -1 0 1 1 0 2 -2 1 0 2 1 1 2 1 -1 0 -1 0 2 1 1 1 -1 0 -1
  

• PROPERTIES
  MODULAR=1
  

• REFERENCES
  G. Nebe, Some cyclo-quaternionic lattices, J. Alg. 199 (1998), 472-498.
  Minimal norm established by G. Nebe in 1998, see
  http://samuel.math.rwth-aachen.de/~LBFM/gabi/paper.html
  

• NOTES
  Extremal unimodular.
  CycloQuaternionic lattice of type Delta2 otimes Delta2
  

• LAST_LINE
  

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  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe