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t4_2021-03-28_lll.txt
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t4_2021-03-28_lll.txt
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Initial
[[2, 0, 0, 0, 0, 89],
[0, 2, 0, 0, 0, 243],
[0, 0, 2, 0, 0, 212],
[0, 0, 0, 2, 0, 150],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
Step 1, k: 1/1
red
[[2, 0, 0, 0, 0, 89],
[-6, 2, 0, 0, 0, -24],
[0, 0, 2, 0, 0, 212],
[0, 0, 0, 2, 0, 150],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
swap
[[-6, 2, 0, 0, 0, -24],
[2, 0, 0, 0, 0, 89],
[0, 0, 2, 0, 0, 212],
[0, 0, 0, 2, 0, 150],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
Step 2, k: 1/1
red
[[-6, 2, 0, 0, 0, -24],
[-16, 6, 0, 0, 0, 17],
[0, 0, 2, 0, 0, 212],
[0, 0, 0, 2, 0, 150],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
Step 3, k: 2/2
red
[[-6, 2, 0, 0, 0, -24],
[-16, 6, 0, 0, 0, 17],
[6, -4, 2, 0, 0, -7],
[0, 0, 0, 2, 0, 150],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
swap
[[-6, 2, 0, 0, 0, -24],
[6, -4, 2, 0, 0, -7],
[-16, 6, 0, 0, 0, 17],
[0, 0, 0, 2, 0, 150],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
Step 4, k: 1/1
red
[[-6, 2, 0, 0, 0, -24],
[6, -4, 2, 0, 0, -7],
[-16, 6, 0, 0, 0, 17],
[0, 0, 0, 2, 0, 150],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
swap
[[6, -4, 2, 0, 0, -7],
[-6, 2, 0, 0, 0, -24],
[-16, 6, 0, 0, 0, 17],
[0, 0, 0, 2, 0, 150],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
Step 5, k: 1/1
red
[[6, -4, 2, 0, 0, -7],
[-12, 6, -2, 0, 0, -17],
[-16, 6, 0, 0, 0, 17],
[0, 0, 0, 2, 0, 150],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
Step 6, k: 2/2
red
[[6, -4, 2, 0, 0, -7],
[-12, 6, -2, 0, 0, -17],
[-4, -2, 4, 0, 0, 3],
[0, 0, 0, 2, 0, 150],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
swap
[[6, -4, 2, 0, 0, -7],
[-4, -2, 4, 0, 0, 3],
[-12, 6, -2, 0, 0, -17],
[0, 0, 0, 2, 0, 150],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
Step 7, k: 1/1
red
[[6, -4, 2, 0, 0, -7],
[-4, -2, 4, 0, 0, 3],
[-12, 6, -2, 0, 0, -17],
[0, 0, 0, 2, 0, 150],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
swap
[[-4, -2, 4, 0, 0, 3],
[6, -4, 2, 0, 0, -7],
[-12, 6, -2, 0, 0, -17],
[0, 0, 0, 2, 0, 150],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
Step 8, k: 1/1
red
[[-4, -2, 4, 0, 0, 3],
[2, -6, 6, 0, 0, -4],
[-12, 6, -2, 0, 0, -17],
[0, 0, 0, 2, 0, 150],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
Step 9, k: 2/2
red
[[-4, -2, 4, 0, 0, 3],
[2, -6, 6, 0, 0, -4],
[-16, 4, 2, 0, 0, -14],
[0, 0, 0, 2, 0, 150],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
Step 10, k: 3/3
red
[[-4, -2, 4, 0, 0, 3],
[2, -6, 6, 0, 0, -4],
[-16, 4, 2, 0, 0, -14],
[2, -2, 0, 2, 0, -4],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
swap
[[-4, -2, 4, 0, 0, 3],
[2, -6, 6, 0, 0, -4],
[2, -2, 0, 2, 0, -4],
[-16, 4, 2, 0, 0, -14],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
Step 11, k: 2/2
red
[[-4, -2, 4, 0, 0, 3],
[2, -6, 6, 0, 0, -4],
[2, -2, 0, 2, 0, -4],
[-16, 4, 2, 0, 0, -14],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
swap
[[-4, -2, 4, 0, 0, 3],
[2, -2, 0, 2, 0, -4],
[2, -6, 6, 0, 0, -4],
[-16, 4, 2, 0, 0, -14],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
Step 12, k: 1/1
red
[[-4, -2, 4, 0, 0, 3],
[2, -2, 0, 2, 0, -4],
[2, -6, 6, 0, 0, -4],
[-16, 4, 2, 0, 0, -14],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
swap
[[2, -2, 0, 2, 0, -4],
[-4, -2, 4, 0, 0, 3],
[2, -6, 6, 0, 0, -4],
[-16, 4, 2, 0, 0, -14],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
Step 13, k: 1/1
red
[[2, -2, 0, 2, 0, -4],
[-2, -4, 4, 2, 0, -1],
[2, -6, 6, 0, 0, -4],
[-16, 4, 2, 0, 0, -14],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
Step 14, k: 2/2
red
[[2, -2, 0, 2, 0, -4],
[-2, -4, 4, 2, 0, -1],
[2, 0, 2, -4, 0, 1],
[-16, 4, 2, 0, 0, -14],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
swap
[[2, -2, 0, 2, 0, -4],
[2, 0, 2, -4, 0, 1],
[-2, -4, 4, 2, 0, -1],
[-16, 4, 2, 0, 0, -14],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
Step 15, k: 1/1
red
[[2, -2, 0, 2, 0, -4],
[2, 0, 2, -4, 0, 1],
[-2, -4, 4, 2, 0, -1],
[-16, 4, 2, 0, 0, -14],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
Step 16, k: 2/2
red
[[2, -2, 0, 2, 0, -4],
[2, 0, 2, -4, 0, 1],
[-2, -4, 4, 2, 0, -1],
[-16, 4, 2, 0, 0, -14],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
Step 17, k: 3/3
red
[[2, -2, 0, 2, 0, -4],
[2, 0, 2, -4, 0, 1],
[-2, -4, 4, 2, 0, -1],
[-10, 8, 2, -10, 0, -11],
[0, 0, 0, 0, 2, 245],
[1, 1, 1, 1, 1, 546]]
Step 18, k: 4/4
red
[[2, -2, 0, 2, 0, -4],
[2, 0, 2, -4, 0, 1],
[-2, -4, 4, 2, 0, -1],
[-10, 8, 2, -10, 0, -11],
[0, -2, 0, 0, 2, 2],
[1, 1, 1, 1, 1, 546]]
swap
[[2, -2, 0, 2, 0, -4],
[2, 0, 2, -4, 0, 1],
[-2, -4, 4, 2, 0, -1],
[0, -2, 0, 0, 2, 2],
[-10, 8, 2, -10, 0, -11],
[1, 1, 1, 1, 1, 546]]
Step 19, k: 3/3
red
[[2, -2, 0, 2, 0, -4],
[2, 0, 2, -4, 0, 1],
[-2, -4, 4, 2, 0, -1],
[0, -2, 0, 0, 2, 2],
[-10, 8, 2, -10, 0, -11],
[1, 1, 1, 1, 1, 546]]
swap
[[2, -2, 0, 2, 0, -4],
[2, 0, 2, -4, 0, 1],
[0, -2, 0, 0, 2, 2],
[-2, -4, 4, 2, 0, -1],
[-10, 8, 2, -10, 0, -11],
[1, 1, 1, 1, 1, 546]]
Step 20, k: 2/2
red
[[2, -2, 0, 2, 0, -4],
[2, 0, 2, -4, 0, 1],
[0, -2, 0, 0, 2, 2],
[-2, -4, 4, 2, 0, -1],
[-10, 8, 2, -10, 0, -11],
[1, 1, 1, 1, 1, 546]]
swap
[[2, -2, 0, 2, 0, -4],
[0, -2, 0, 0, 2, 2],
[2, 0, 2, -4, 0, 1],
[-2, -4, 4, 2, 0, -1],
[-10, 8, 2, -10, 0, -11],
[1, 1, 1, 1, 1, 546]]
Step 21, k: 1/1
red
[[2, -2, 0, 2, 0, -4],
[0, -2, 0, 0, 2, 2],
[2, 0, 2, -4, 0, 1],
[-2, -4, 4, 2, 0, -1],
[-10, 8, 2, -10, 0, -11],
[1, 1, 1, 1, 1, 546]]
swap
[[0, -2, 0, 0, 2, 2],
[2, -2, 0, 2, 0, -4],
[2, 0, 2, -4, 0, 1],
[-2, -4, 4, 2, 0, -1],
[-10, 8, 2, -10, 0, -11],
[1, 1, 1, 1, 1, 546]]
Step 22, k: 1/1
red
[[0, -2, 0, 0, 2, 2],
[2, -2, 0, 2, 0, -4],
[2, 0, 2, -4, 0, 1],
[-2, -4, 4, 2, 0, -1],
[-10, 8, 2, -10, 0, -11],
[1, 1, 1, 1, 1, 546]]
Step 23, k: 2/2
red
[[0, -2, 0, 0, 2, 2],
[2, -2, 0, 2, 0, -4],
[2, 0, 2, -4, 0, 1],
[-2, -4, 4, 2, 0, -1],
[-10, 8, 2, -10, 0, -11],
[1, 1, 1, 1, 1, 546]]
Step 24, k: 3/3
red
[[0, -2, 0, 0, 2, 2],
[2, -2, 0, 2, 0, -4],
[2, 0, 2, -4, 0, 1],
[-4, 0, 4, 0, -2, 1],
[-10, 8, 2, -10, 0, -11],
[1, 1, 1, 1, 1, 546]]
Step 25, k: 4/4
red
[[0, -2, 0, 0, 2, 2],
[2, -2, 0, 2, 0, -4],
[2, 0, 2, -4, 0, 1],
[-4, 0, 4, 0, -2, 1],
[-8, 2, -4, -6, 8, -7],
[1, 1, 1, 1, 1, 546]]
Step 26, k: 5/5
red
[[0, -2, 0, 0, 2, 2],
[2, -2, 0, 2, 0, -4],
[2, 0, 2, -4, 0, 1],
[-4, 0, 4, 0, -2, 1],
[-8, 2, -4, -6, 8, -7],
[-1, 1, -1, 1, -1, 0]]
swap
[[0, -2, 0, 0, 2, 2],
[2, -2, 0, 2, 0, -4],
[2, 0, 2, -4, 0, 1],
[-4, 0, 4, 0, -2, 1],
[-1, 1, -1, 1, -1, 0],
[-8, 2, -4, -6, 8, -7]]
Step 27, k: 4/4
red
[[0, -2, 0, 0, 2, 2],
[2, -2, 0, 2, 0, -4],
[2, 0, 2, -4, 0, 1],
[-4, 0, 4, 0, -2, 1],
[-1, 1, -1, 1, -1, 0],
[-8, 2, -4, -6, 8, -7]]
swap
[[0, -2, 0, 0, 2, 2],
[2, -2, 0, 2, 0, -4],
[2, 0, 2, -4, 0, 1],
[-1, 1, -1, 1, -1, 0],
[-4, 0, 4, 0, -2, 1],
[-8, 2, -4, -6, 8, -7]]
Step 28, k: 3/3
red
[[0, -2, 0, 0, 2, 2],
[2, -2, 0, 2, 0, -4],
[2, 0, 2, -4, 0, 1],
[-1, 1, -1, 1, -1, 0],
[-4, 0, 4, 0, -2, 1],
[-8, 2, -4, -6, 8, -7]]
swap
[[0, -2, 0, 0, 2, 2],
[2, -2, 0, 2, 0, -4],
[-1, 1, -1, 1, -1, 0],
[2, 0, 2, -4, 0, 1],
[-4, 0, 4, 0, -2, 1],
[-8, 2, -4, -6, 8, -7]]
Step 29, k: 2/2
red
[[0, -2, 0, 0, 2, 2],
[2, -2, 0, 2, 0, -4],
[-1, 1, -1, 1, -1, 0],
[2, 0, 2, -4, 0, 1],
[-4, 0, 4, 0, -2, 1],
[-8, 2, -4, -6, 8, -7]]
swap
[[0, -2, 0, 0, 2, 2],
[-1, 1, -1, 1, -1, 0],
[2, -2, 0, 2, 0, -4],
[2, 0, 2, -4, 0, 1],
[-4, 0, 4, 0, -2, 1],
[-8, 2, -4, -6, 8, -7]]
Step 30, k: 1/1
red
[[0, -2, 0, 0, 2, 2],
[-1, 1, -1, 1, -1, 0],
[2, -2, 0, 2, 0, -4],
[2, 0, 2, -4, 0, 1],
[-4, 0, 4, 0, -2, 1],
[-8, 2, -4, -6, 8, -7]]
swap
[[-1, 1, -1, 1, -1, 0],
[0, -2, 0, 0, 2, 2],
[2, -2, 0, 2, 0, -4],
[2, 0, 2, -4, 0, 1],
[-4, 0, 4, 0, -2, 1],
[-8, 2, -4, -6, 8, -7]]
Step 31, k: 1/1
red
[[-1, 1, -1, 1, -1, 0],
[-1, -1, -1, 1, 1, 2],
[2, -2, 0, 2, 0, -4],
[2, 0, 2, -4, 0, 1],
[-4, 0, 4, 0, -2, 1],
[-8, 2, -4, -6, 8, -7]]
Step 32, k: 2/2
red
[[-1, 1, -1, 1, -1, 0],
[-1, -1, -1, 1, 1, 2],
[1, -3, -1, 3, 1, -2],
[2, 0, 2, -4, 0, 1],
[-4, 0, 4, 0, -2, 1],
[-8, 2, -4, -6, 8, -7]]
Step 33, k: 3/3
red
[[-1, 1, -1, 1, -1, 0],
[-1, -1, -1, 1, 1, 2],
[1, -3, -1, 3, 1, -2],
[1, -1, -1, 1, -1, -1],
[-4, 0, 4, 0, -2, 1],
[-8, 2, -4, -6, 8, -7]]
swap
[[-1, 1, -1, 1, -1, 0],
[-1, -1, -1, 1, 1, 2],
[1, -1, -1, 1, -1, -1],
[1, -3, -1, 3, 1, -2],
[-4, 0, 4, 0, -2, 1],
[-8, 2, -4, -6, 8, -7]]
Step 34, k: 2/2
red
[[-1, 1, -1, 1, -1, 0],
[-1, -1, -1, 1, 1, 2],
[1, -1, -1, 1, -1, -1],
[1, -3, -1, 3, 1, -2],
[-4, 0, 4, 0, -2, 1],
[-8, 2, -4, -6, 8, -7]]
swap
[[-1, 1, -1, 1, -1, 0],
[1, -1, -1, 1, -1, -1],
[-1, -1, -1, 1, 1, 2],
[1, -3, -1, 3, 1, -2],
[-4, 0, 4, 0, -2, 1],
[-8, 2, -4, -6, 8, -7]]
Step 35, k: 1/1
red
[[-1, 1, -1, 1, -1, 0],
[1, -1, -1, 1, -1, -1],
[-1, -1, -1, 1, 1, 2],
[1, -3, -1, 3, 1, -2],
[-4, 0, 4, 0, -2, 1],
[-8, 2, -4, -6, 8, -7]]
Step 36, k: 2/2
red
[[-1, 1, -1, 1, -1, 0],
[1, -1, -1, 1, -1, -1],
[-1, -1, -1, 1, 1, 2],
[1, -3, -1, 3, 1, -2],
[-4, 0, 4, 0, -2, 1],
[-8, 2, -4, -6, 8, -7]]
Step 37, k: 3/3
red
[[-1, 1, -1, 1, -1, 0],
[1, -1, -1, 1, -1, -1],
[-1, -1, -1, 1, 1, 2],
[-1, 1, 1, 1, 1, -2],
[-4, 0, 4, 0, -2, 1],
[-8, 2, -4, -6, 8, -7]]
Step 38, k: 4/4
red
[[-1, 1, -1, 1, -1, 0],
[1, -1, -1, 1, -1, -1],
[-1, -1, -1, 1, 1, 2],
[-1, 1, 1, 1, 1, -2],
[-2, -2, 4, 0, -2, 0],
[-8, 2, -4, -6, 8, -7]]
Step 39, k: 5/5
red
[[-1, 1, -1, 1, -1, 0],
[1, -1, -1, 1, -1, -1],
[-1, -1, -1, 1, 1, 2],
[-1, 1, 1, 1, 1, -2],
[-2, -2, 4, 0, -2, 0],
[-6, -4, -6, -6, 0, -3]]
Check for the LLL reducedness:
Mu matrix:
[[0.00000, 0.00000, 0.00000, 0.00000, 0.00000, 0.00000],
[0.20000, 0.00000, 0.00000, 0.00000, 0.00000, 0.00000],
[0.20000, -0.20690, 0.00000, 0.00000, 0.00000, 0.00000],
[0.20000, -0.20690, -0.40323, 0.00000, 0.00000, 0.00000],
[-0.40000, -0.27586, -0.22581, 0.18018, 0.00000, 0.00000],
[0.40000, 0.10345, 0.43548, -0.38739, -0.06492, 0.00000]]
Lovasz vector:
[0.00000, 2.25000, 4.45000, 2.13793, 20.95161, 109.87387]
Final
[[-1, 1, -1, 1, -1, 0],
[1, -1, -1, 1, -1, -1],
[-1, -1, -1, 1, 1, 2],
[-1, 1, 1, 1, 1, -2],
[-2, -2, 4, 0, -2, 0],
[-6, -4, -6, -6, 0, -3]]
red: 39, swap: 20