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t3_2021-03-28_lll.txt
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t3_2021-03-28_lll.txt
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Initial
[[48, 33, 32, 9, 1, 29],
[0, 48, 35, 16, 31, 31],
[20, 44, 44, 0, 18, 15],
[43, 15, 0, 24, 4, 16],
[15, 42, 11, 0, 3, 24],
[19, 2, 32, 46, 3, 33]]
Step 1, k: 1/1
red
[[48, 33, 32, 9, 1, 29],
[-48, 15, 3, 7, 30, 2],
[20, 44, 44, 0, 18, 15],
[43, 15, 0, 24, 4, 16],
[15, 42, 11, 0, 3, 24],
[19, 2, 32, 46, 3, 33]]
swap
[[-48, 15, 3, 7, 30, 2],
[48, 33, 32, 9, 1, 29],
[20, 44, 44, 0, 18, 15],
[43, 15, 0, 24, 4, 16],
[15, 42, 11, 0, 3, 24],
[19, 2, 32, 46, 3, 33]]
Step 2, k: 1/1
red
[[-48, 15, 3, 7, 30, 2],
[48, 33, 32, 9, 1, 29],
[20, 44, 44, 0, 18, 15],
[43, 15, 0, 24, 4, 16],
[15, 42, 11, 0, 3, 24],
[19, 2, 32, 46, 3, 33]]
Step 3, k: 2/2
red
[[-48, 15, 3, 7, 30, 2],
[48, 33, 32, 9, 1, 29],
[20, -4, 9, -16, -13, -16],
[43, 15, 0, 24, 4, 16],
[15, 42, 11, 0, 3, 24],
[19, 2, 32, 46, 3, 33]]
swap
[[-48, 15, 3, 7, 30, 2],
[20, -4, 9, -16, -13, -16],
[48, 33, 32, 9, 1, 29],
[43, 15, 0, 24, 4, 16],
[15, 42, 11, 0, 3, 24],
[19, 2, 32, 46, 3, 33]]
Step 4, k: 1/1
red
[[-48, 15, 3, 7, 30, 2],
[20, -4, 9, -16, -13, -16],
[48, 33, 32, 9, 1, 29],
[43, 15, 0, 24, 4, 16],
[15, 42, 11, 0, 3, 24],
[19, 2, 32, 46, 3, 33]]
swap
[[20, -4, 9, -16, -13, -16],
[-48, 15, 3, 7, 30, 2],
[48, 33, 32, 9, 1, 29],
[43, 15, 0, 24, 4, 16],
[15, 42, 11, 0, 3, 24],
[19, 2, 32, 46, 3, 33]]
Step 5, k: 1/1
red
[[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[48, 33, 32, 9, 1, 29],
[43, 15, 0, 24, 4, 16],
[15, 42, 11, 0, 3, 24],
[19, 2, 32, 46, 3, 33]]
Step 6, k: 2/2
red
[[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[20, 44, 44, 0, 18, 15],
[43, 15, 0, 24, 4, 16],
[15, 42, 11, 0, 3, 24],
[19, 2, 32, 46, 3, 33]]
Step 7, k: 3/3
red
[[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[20, 44, 44, 0, 18, 15],
[-5, -18, -32, 15, 3, -13],
[15, 42, 11, 0, 3, 24],
[19, 2, 32, 46, 3, 33]]
swap
[[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-5, -18, -32, 15, 3, -13],
[20, 44, 44, 0, 18, 15],
[15, 42, 11, 0, 3, 24],
[19, 2, 32, 46, 3, 33]]
Step 8, k: 2/2
red
[[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-5, -18, -32, 15, 3, -13],
[20, 44, 44, 0, 18, 15],
[15, 42, 11, 0, 3, 24],
[19, 2, 32, 46, 3, 33]]
Step 9, k: 3/3
red
[[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-5, -18, -32, 15, 3, -13],
[15, 26, 12, 15, 21, 2],
[15, 42, 11, 0, 3, 24],
[19, 2, 32, 46, 3, 33]]
Step 10, k: 4/4
red
[[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-5, -18, -32, 15, 3, -13],
[15, 26, 12, 15, 21, 2],
[-13, 5, -12, -25, -11, -21],
[19, 2, 32, 46, 3, 33]]
swap
[[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-5, -18, -32, 15, 3, -13],
[-13, 5, -12, -25, -11, -21],
[15, 26, 12, 15, 21, 2],
[19, 2, 32, 46, 3, 33]]
Step 11, k: 3/3
red
[[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-5, -18, -32, 15, 3, -13],
[-13, 5, -12, -25, -11, -21],
[15, 26, 12, 15, 21, 2],
[19, 2, 32, 46, 3, 33]]
swap
[[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-13, 5, -12, -25, -11, -21],
[-5, -18, -32, 15, 3, -13],
[15, 26, 12, 15, 21, 2],
[19, 2, 32, 46, 3, 33]]
Step 12, k: 2/2
red
[[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-13, 5, -12, -25, -11, -21],
[-5, -18, -32, 15, 3, -13],
[15, 26, 12, 15, 21, 2],
[19, 2, 32, 46, 3, 33]]
Step 13, k: 3/3
red
[[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-13, 5, -12, -25, -11, -21],
[0, -16, 1, 15, 18, -22],
[15, 26, 12, 15, 21, 2],
[19, 2, 32, 46, 3, 33]]
Step 14, k: 4/4
red
[[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-13, 5, -12, -25, -11, -21],
[0, -16, 1, 15, 18, -22],
[10, 24, -21, 15, 6, 11],
[19, 2, 32, 46, 3, 33]]
Step 15, k: 5/5
red
[[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-13, 5, -12, -25, -11, -21],
[0, -16, 1, 15, 18, -22],
[10, 24, -21, 15, 6, 11],
[-7, 12, 8, -4, -19, -9]]
swap
[[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-13, 5, -12, -25, -11, -21],
[0, -16, 1, 15, 18, -22],
[-7, 12, 8, -4, -19, -9],
[10, 24, -21, 15, 6, 11]]
Step 16, k: 4/4
red
[[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-13, 5, -12, -25, -11, -21],
[0, -16, 1, 15, 18, -22],
[-7, 12, 8, -4, -19, -9],
[10, 24, -21, 15, 6, 11]]
swap
[[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-13, 5, -12, -25, -11, -21],
[-7, 12, 8, -4, -19, -9],
[0, -16, 1, 15, 18, -22],
[10, 24, -21, 15, 6, 11]]
Step 17, k: 3/3
red
[[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-13, 5, -12, -25, -11, -21],
[-7, 12, 8, -4, -19, -9],
[0, -16, 1, 15, 18, -22],
[10, 24, -21, 15, 6, 11]]
swap
[[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-7, 12, 8, -4, -19, -9],
[-13, 5, -12, -25, -11, -21],
[0, -16, 1, 15, 18, -22],
[10, 24, -21, 15, 6, 11]]
Step 18, k: 2/2
red
[[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-7, 12, 8, -4, -19, -9],
[-13, 5, -12, -25, -11, -21],
[0, -16, 1, 15, 18, -22],
[10, 24, -21, 15, 6, 11]]
swap
[[20, -4, 9, -16, -13, -16],
[-7, 12, 8, -4, -19, -9],
[-28, 11, 12, -9, 17, -14],
[-13, 5, -12, -25, -11, -21],
[0, -16, 1, 15, 18, -22],
[10, 24, -21, 15, 6, 11]]
Step 19, k: 1/1
red
[[20, -4, 9, -16, -13, -16],
[-7, 12, 8, -4, -19, -9],
[-28, 11, 12, -9, 17, -14],
[-13, 5, -12, -25, -11, -21],
[0, -16, 1, 15, 18, -22],
[10, 24, -21, 15, 6, 11]]
swap
[[-7, 12, 8, -4, -19, -9],
[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-13, 5, -12, -25, -11, -21],
[0, -16, 1, 15, 18, -22],
[10, 24, -21, 15, 6, 11]]
Step 20, k: 1/1
red
[[-7, 12, 8, -4, -19, -9],
[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-13, 5, -12, -25, -11, -21],
[0, -16, 1, 15, 18, -22],
[10, 24, -21, 15, 6, 11]]
Step 21, k: 2/2
red
[[-7, 12, 8, -4, -19, -9],
[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-13, 5, -12, -25, -11, -21],
[0, -16, 1, 15, 18, -22],
[10, 24, -21, 15, 6, 11]]
Step 22, k: 3/3
red
[[-7, 12, 8, -4, -19, -9],
[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-6, -7, -20, -21, 8, -12],
[0, -16, 1, 15, 18, -22],
[10, 24, -21, 15, 6, 11]]
Step 23, k: 4/4
red
[[-7, 12, 8, -4, -19, -9],
[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-6, -7, -20, -21, 8, -12],
[-7, -4, 9, 11, -1, -31],
[10, 24, -21, 15, 6, 11]]
Step 24, k: 5/5
red
[[-7, 12, 8, -4, -19, -9],
[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-6, -7, -20, -21, 8, -12],
[-7, -4, 9, 11, -1, -31],
[10, 24, -21, 15, 6, 11]]
Check for the LLL reducedness:
Mu matrix:
[[0.00000, 0.00000, 0.00000, 0.00000, 0.00000, 0.00000],
[0.47413, 0.00000, 0.00000, 0.00000, 0.00000, 0.00000],
[0.36783, -0.46565, 0.00000, 0.00000, 0.00000, 0.00000],
[-0.22657, 0.22492, 0.39311, 0.00000, 0.00000, 0.00000],
[0.45734, 0.13267, 0.40115, -0.16315, 0.00000, 0.00000],
[-0.31189, -0.46523, -0.45724, 0.09722, -0.14550, 0.00000]]
Lovasz vector:
[0.00000, 641.75000, 755.30664, 72.56862, 218.75196, 307.30730]
Final
[[-7, 12, 8, -4, -19, -9],
[20, -4, 9, -16, -13, -16],
[-28, 11, 12, -9, 17, -14],
[-6, -7, -20, -21, 8, -12],
[-7, -4, 9, 11, -1, -31],
[10, 24, -21, 15, 6, 11]]
red: 24, swap: 11