gf(2) Berlekamp Algorithm
If possible, factor polynomial, including at least one irreducible factor.
f = b01100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001
f = 0x65ee6bda0b324559661859ebf3268b49
f = x126 + x125 + x122 + x120 + x119 + x118 + x117 + x115 + x114 + x113 + x110 + x109 + x107 + x105 + x104 + x103 + x102 + x100 + x99 + x97 + x91 + x89 + x88 + x85 + x84 + x81 + x78 + x74 + x72 + x70 + x68 + x67 + x64 + x62 + x61 + x58 + x57 + x52 + x51 + x46 + x44 + x43 + x40 + x39 + x38 + x37 + x35 + x33 + x32 + x31 + x30 + x29 + x28 + x25 + x24 + x21 + x18 + x17 + x15 + x11 + x9 + x8 + x6 + x3 + 1
Calculate vn = x2n (mod f) for n=0 to 126
v0 = x0 (mod f)v0 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
v0 = 0x0000000000000000000000000000000000000000000000000000000000000001
v0 = 1
v1 = x2 (mod f)v1 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100
v1 = 0x0000000000000000000000000000000000000000000000000000000000000004
v1 = x2
v2 = x4 (mod f)v2 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000
v2 = 0x0000000000000000000000000000000000000000000000000000000000000010
v2 = x4
v3 = x6 (mod f)v3 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000
v3 = 0x0000000000000000000000000000000000000000000000000000000000000040
v3 = x6
v4 = x8 (mod f)v4 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000
v4 = 0x0000000000000000000000000000000000000000000000000000000000000100
v4 = x8
v5 = x10 (mod f)v5 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000
v5 = 0x0000000000000000000000000000000000000000000000000000000000000400
v5 = x10
v6 = x12 (mod f)v6 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000
v6 = 0x0000000000000000000000000000000000000000000000000000000000001000
v6 = x12
v7 = x14 (mod f)v7 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000
v7 = 0x0000000000000000000000000000000000000000000000000000000000004000
v7 = x14
v8 = x16 (mod f)v8 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000
v8 = 0x0000000000000000000000000000000000000000000000000000000000010000
v8 = x16
v9 = x18 (mod f)v9 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000
v9 = 0x0000000000000000000000000000000000000000000000000000000000040000
v9 = x18
v10 = x20 (mod f)v10 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000
v10 = 0x0000000000000000000000000000000000000000000000000000000000100000
v10 = x20
v11 = x22 (mod f)v11 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000
v11 = 0x0000000000000000000000000000000000000000000000000000000000400000
v11 = x22
v12 = x24 (mod f)v12 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000
v12 = 0x0000000000000000000000000000000000000000000000000000000001000000
v12 = x24
v13 = x26 (mod f)v13 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000
v13 = 0x0000000000000000000000000000000000000000000000000000000004000000
v13 = x26
v14 = x28 (mod f)v14 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000
v14 = 0x0000000000000000000000000000000000000000000000000000000010000000
v14 = x28
v15 = x30 (mod f)v15 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000
v15 = 0x0000000000000000000000000000000000000000000000000000000040000000
v15 = x30
v16 = x32 (mod f)v16 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000
v16 = 0x0000000000000000000000000000000000000000000000000000000100000000
v16 = x32
v17 = x34 (mod f)v17 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000
v17 = 0x0000000000000000000000000000000000000000000000000000000400000000
v17 = x34
v18 = x36 (mod f)v18 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000
v18 = 0x0000000000000000000000000000000000000000000000000000001000000000
v18 = x36
v19 = x38 (mod f)v19 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000
v19 = 0x0000000000000000000000000000000000000000000000000000004000000000
v19 = x38
v20 = x40 (mod f)v20 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000
v20 = 0x0000000000000000000000000000000000000000000000000000010000000000
v20 = x40
v21 = x42 (mod f)v21 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000
v21 = 0x0000000000000000000000000000000000000000000000000000040000000000
v21 = x42
v22 = x44 (mod f)v22 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000
v22 = 0x0000000000000000000000000000000000000000000000000000100000000000
v22 = x44
v23 = x46 (mod f)v23 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000
v23 = 0x0000000000000000000000000000000000000000000000000000400000000000
v23 = x46
v24 = x48 (mod f)v24 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000
v24 = 0x0000000000000000000000000000000000000000000000000001000000000000
v24 = x48
v25 = x50 (mod f)v25 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000
v25 = 0x0000000000000000000000000000000000000000000000000004000000000000
v25 = x50
v26 = x52 (mod f)v26 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000
v26 = 0x0000000000000000000000000000000000000000000000000010000000000000
v26 = x52
v27 = x54 (mod f)v27 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000
v27 = 0x0000000000000000000000000000000000000000000000000040000000000000
v27 = x54
v28 = x56 (mod f)v28 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000
v28 = 0x0000000000000000000000000000000000000000000000000100000000000000
v28 = x56
v29 = x58 (mod f)v29 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000
v29 = 0x0000000000000000000000000000000000000000000000000400000000000000
v29 = x58
v30 = x60 (mod f)v30 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000
v30 = 0x0000000000000000000000000000000000000000000000001000000000000000
v30 = x60
v31 = x62 (mod f)v31 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000
v31 = 0x0000000000000000000000000000000000000000000000004000000000000000
v31 = x62
v32 = x64 (mod f)v32 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000
v32 = 0x0000000000000000000000000000000000000000000000010000000000000000
v32 = x64
v33 = x66 (mod f)v33 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000
v33 = 0x0000000000000000000000000000000000000000000000040000000000000000
v33 = x66
v34 = x68 (mod f)v34 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000
v34 = 0x0000000000000000000000000000000000000000000000100000000000000000
v34 = x68
v35 = x70 (mod f)v35 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000
v35 = 0x0000000000000000000000000000000000000000000000400000000000000000
v35 = x70
v36 = x72 (mod f)v36 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000
v36 = 0x0000000000000000000000000000000000000000000001000000000000000000
v36 = x72
v37 = x74 (mod f)v37 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000
v37 = 0x0000000000000000000000000000000000000000000004000000000000000000
v37 = x74
v38 = x76 (mod f)v38 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000
v38 = 0x0000000000000000000000000000000000000000000010000000000000000000
v38 = x76
v39 = x78 (mod f)v39 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000
v39 = 0x0000000000000000000000000000000000000000000040000000000000000000
v39 = x78
v40 = x80 (mod f)v40 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000
v40 = 0x0000000000000000000000000000000000000000000100000000000000000000
v40 = x80
v41 = x82 (mod f)v41 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000
v41 = 0x0000000000000000000000000000000000000000000400000000000000000000
v41 = x82
v42 = x84 (mod f)v42 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000
v42 = 0x0000000000000000000000000000000000000000001000000000000000000000
v42 = x84
v43 = x86 (mod f)v43 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000
v43 = 0x0000000000000000000000000000000000000000004000000000000000000000
v43 = x86
v44 = x88 (mod f)v44 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
v44 = 0x0000000000000000000000000000000000000000010000000000000000000000
v44 = x88
v45 = x90 (mod f)v45 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
v45 = 0x0000000000000000000000000000000000000000040000000000000000000000
v45 = x90
v46 = x92 (mod f)v46 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
v46 = 0x0000000000000000000000000000000000000000100000000000000000000000
v46 = x92
v47 = x94 (mod f)v47 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
v47 = 0x0000000000000000000000000000000000000000400000000000000000000000
v47 = x94
v48 = x96 (mod f)v48 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
v48 = 0x0000000000000000000000000000000000000001000000000000000000000000
v48 = x96
v49 = x98 (mod f)v49 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
v49 = 0x0000000000000000000000000000000000000004000000000000000000000000
v49 = x98
v50 = x100 (mod f)v50 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
v50 = 0x0000000000000000000000000000000000000010000000000000000000000000
v50 = x100
v51 = x102 (mod f)v51 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
v51 = 0x0000000000000000000000000000000000000040000000000000000000000000
v51 = x102
v52 = x104 (mod f)v52 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
v52 = 0x0000000000000000000000000000000000000100000000000000000000000000
v52 = x104
v53 = x106 (mod f)v53 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
v53 = 0x0000000000000000000000000000000000000400000000000000000000000000
v53 = x106
v54 = x108 (mod f)v54 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
v54 = 0x0000000000000000000000000000000000001000000000000000000000000000
v54 = x108
v55 = x110 (mod f)v55 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
v55 = 0x0000000000000000000000000000000000004000000000000000000000000000
v55 = x110
v56 = x112 (mod f)v56 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
v56 = 0x0000000000000000000000000000000000010000000000000000000000000000
v56 = x112
v57 = x114 (mod f)v57 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
v57 = 0x0000000000000000000000000000000000040000000000000000000000000000
v57 = x114
v58 = x116 (mod f)v58 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
v58 = 0x0000000000000000000000000000000000100000000000000000000000000000
v58 = x116
v59 = x118 (mod f)v59 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
v59 = 0x0000000000000000000000000000000000400000000000000000000000000000
v59 = x118
v60 = x120 (mod f)v60 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
v60 = 0x0000000000000000000000000000000001000000000000000000000000000000
v60 = x120
v61 = x122 (mod f)v61 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
v61 = 0x0000000000000000000000000000000004000000000000000000000000000000
v61 = x122
v62 = x124 (mod f)v62 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
v62 = 0x0000000000000000000000000000000010000000000000000000000000000000
v62 = x124
v63 = x126 (mod f)v63 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001
v63 = 0x0000000000000000000000000000000025ee6bda0b324559661859ebf3268b49
v63 = x125 + x122 + x120 + x119 + x118 + x117 + x115 + x114 + x113 + x110 + x109 + x107 + x105 + x104 + x103 + x102 + x100 + x99 + x97 + x91 + x89 + x88 + x85 + x84 + x81 + x78 + x74 + x72 + x70 + x68 + x67 + x64 + x62 + x61 + x58 + x57 + x52 + x51 + x46 + x44 + x43 + x40 + x39 + x38 + x37 + x35 + x33 + x32 + x31 + x30 + x29 + x28 + x25 + x24 + x21 + x18 + x17 + x15 + x11 + x9 + x8 + x6 + x3 + 1
v64 = x128 (mod f)v64 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111001100010110001001100000110001100011001111111011010100011100011001001001001100011011001001111011001111100011011000011111111
v64 = 0x00000000000000000000000000000000398b1306319fda8e32498d93d9f1b0ff
v64 = x125 + x124 + x123 + x120 + x119 + x115 + x113 + x112 + x108 + x105 + x104 + x98 + x97 + x93 + x92 + x88 + x87 + x84 + x83 + x82 + x81 + x80 + x79 + x78 + x76 + x75 + x73 + x71 + x67 + x66 + x65 + x61 + x60 + x57 + x54 + x51 + x48 + x47 + x43 + x42 + x40 + x39 + x36 + x33 + x32 + x31 + x30 + x28 + x27 + x24 + x23 + x22 + x21 + x20 + x16 + x15 + x13 + x12 + x7 + x6 + x5 + x4 + x3 + x2 + x + 1
v65 = x130 (mod f)v65 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101101111100001001101110101100110100000001101111100000100010100000010100010110100001011001100010000001100010111101010101101110
v65 = 0x000000000000000000000000000000002df09bacd01be08a05168598818bd56e
v65 = x125 + x123 + x122 + x120 + x119 + x118 + x117 + x116 + x111 + x108 + x107 + x105 + x104 + x103 + x101 + x99 + x98 + x95 + x94 + x92 + x84 + x83 + x81 + x80 + x79 + x78 + x77 + x71 + x67 + x65 + x58 + x56 + x52 + x50 + x49 + x47 + x42 + x40 + x39 + x36 + x35 + x31 + x24 + x23 + x19 + x17 + x16 + x15 + x14 + x12 + x10 + x8 + x6 + x5 + x3 + x2 + x
v66 = x132 (mod f)v66 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011001111100001101001011011101010111010011100101001101110000111011111001110010111111000101111000010011010001001100100001100011
v66 = 0x0000000000000000000000000000000019f0d2dd5d394dc3be72fc5e1344c863
v66 = x124 + x123 + x120 + x119 + x118 + x117 + x116 + x111 + x110 + x108 + x105 + x103 + x102 + x100 + x99 + x98 + x96 + x94 + x92 + x91 + x90 + x88 + x85 + x84 + x83 + x80 + x78 + x75 + x74 + x72 + x71 + x70 + x65 + x64 + x63 + x61 + x60 + x59 + x58 + x57 + x54 + x53 + x52 + x49 + x47 + x46 + x45 + x44 + x43 + x42 + x38 + x36 + x35 + x34 + x33 + x28 + x25 + x24 + x22 + x18 + x15 + x14 + x11 + x6 + x5 + x + 1
v67 = x134 (mod f)v67 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010001011010010000010101111011111111101011101110010010101111001111111010011101010001001001110111110001101011010101011000101
v67 = 0x00000000000000000000000000000000022d20af7fd772579fd3a893be35aac5
v67 = x121 + x117 + x115 + x114 + x112 + x109 + x103 + x101 + x99 + x98 + x97 + x96 + x94 + x93 + x92 + x91 + x90 + x89 + x88 + x87 + x86 + x84 + x82 + x81 + x80 + x78 + x77 + x76 + x73 + x70 + x68 + x66 + x65 + x64 + x63 + x60 + x59 + x58 + x57 + x56 + x55 + x54 + x52 + x49 + x48 + x47 + x45 + x43 + x39 + x36 + x33 + x32 + x31 + x29 + x28 + x27 + x26 + x25 + x21 + x20 + x18 + x16 + x15 + x13 + x11 + x9 + x7 + x6 + x2 + 1
v68 = x136 (mod f)v68 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000101101001000001010111101111111110101110111001001010111100111111101001110101000100100111011111000110101101010101100010100
v68 = 0x0000000000000000000000000000000008b482bdff5dc95e7f4ea24ef8d6ab14
v68 = x123 + x119 + x117 + x116 + x114 + x111 + x105 + x103 + x101 + x100 + x99 + x98 + x96 + x95 + x94 + x93 + x92 + x91 + x90 + x89 + x88 + x86 + x84 + x83 + x82 + x80 + x79 + x78 + x75 + x72 + x70 + x68 + x67 + x66 + x65 + x62 + x61 + x60 + x59 + x58 + x57 + x56 + x54 + x51 + x50 + x49 + x47 + x45 + x41 + x38 + x35 + x34 + x33 + x31 + x30 + x29 + x28 + x27 + x23 + x22 + x20 + x18 + x17 + x15 + x13 + x11 + x9 + x8 + x4 + x2
v69 = x138 (mod f)v69 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100010110100100000101011110111111111010111011100100101011110011111110100111010100010010011101111100011010110101010110001010000
v69 = 0x0000000000000000000000000000000022d20af7fd772579fd3a893be35aac50
v69 = x125 + x121 + x119 + x118 + x116 + x113 + x107 + x105 + x103 + x102 + x101 + x100 + x98 + x97 + x96 + x95 + x94 + x93 + x92 + x91 + x90 + x88 + x86 + x85 + x84 + x82 + x81 + x80 + x77 + x74 + x72 + x70 + x69 + x68 + x67 + x64 + x63 + x62 + x61 + x60 + x59 + x58 + x56 + x53 + x52 + x51 + x49 + x47 + x43 + x40 + x37 + x36 + x35 + x33 + x32 + x31 + x30 + x29 + x25 + x24 + x22 + x20 + x19 + x17 + x15 + x13 + x11 + x10 + x6 + x4
v70 = x140 (mod f)v70 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100101011110101001011110110001111010001000101001011010000011000101111011000010110011101101001110011000000000010010110010011011
v70 = 0x00000000000000000000000000000000257a97b1e88a5a0c5ec2ced398012c9b
v70 = x125 + x122 + x120 + x118 + x117 + x116 + x115 + x113 + x111 + x108 + x106 + x105 + x104 + x103 + x101 + x100 + x96 + x95 + x94 + x93 + x91 + x87 + x83 + x81 + x78 + x76 + x75 + x73 + x67 + x66 + x62 + x60 + x59 + x58 + x57 + x55 + x54 + x49 + x47 + x46 + x43 + x42 + x41 + x39 + x38 + x36 + x33 + x32 + x31 + x28 + x27 + x16 + x13 + x11 + x10 + x7 + x4 + x3 + x + 1
v71 = x142 (mod f)v71 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111011110110001110001010101001101111110111111110100111110110101101000100100011110100010111001001110101011011110010111110110111
v71 = 0x000000000000000000000000000000003bd8e2a9bf7fa7dad123d172756f2fb7
v71 = x125 + x124 + x123 + x121 + x120 + x119 + x118 + x116 + x115 + x111 + x110 + x109 + x105 + x103 + x101 + x99 + x96 + x95 + x93 + x92 + x91 + x90 + x89 + x88 + x86 + x85 + x84 + x83 + x82 + x81 + x80 + x79 + x77 + x74 + x73 + x72 + x71 + x70 + x68 + x67 + x65 + x63 + x62 + x60 + x56 + x53 + x49 + x48 + x47 + x46 + x44 + x40 + x38 + x37 + x36 + x33 + x30 + x29 + x28 + x26 + x24 + x22 + x21 + x19 + x18 + x17 + x16 + x13 + x11 + x10 + x9 + x8 + x7 + x5 + x4 + x2 + x + 1
v72 = x144 (mod f)v72 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100100101111110101110100010010111010111001101000010101110110011000100010111111111101100001111000110011111100011010100001001110
v72 = 0x0000000000000000000000000000000024bf5d12eb9a15d988bff61e33f1a84e
v72 = x125 + x122 + x119 + x117 + x116 + x115 + x114 + x113 + x112 + x110 + x108 + x107 + x106 + x104 + x100 + x97 + x95 + x94 + x93 + x91 + x89 + x88 + x87 + x84 + x83 + x81 + x76 + x74 + x72 + x71 + x70 + x68 + x67 + x64 + x63 + x59 + x55 + x53 + x52 + x51 + x50 + x49 + x48 + x47 + x46 + x45 + x44 + x42 + x41 + x36 + x35 + x34 + x33 + x29 + x28 + x25 + x24 + x23 + x22 + x21 + x20 + x16 + x15 + x13 + x11 + x6 + x3 + x2 + x
v73 = x146 (mod f)v73 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111100110011111100100000100101101100110011111010011000100011011000100011010111001100100100010011011010101011010011110011100011
v73 = 0x000000000000000000000000000000003ccfc825b33e988d88d73244daad3ce3
v73 = x125 + x124 + x123 + x122 + x119 + x118 + x115 + x114 + x113 + x112 + x111 + x110 + x107 + x101 + x98 + x96 + x95 + x93 + x92 + x89 + x88 + x85 + x84 + x83 + x82 + x81 + x79 + x76 + x75 + x71 + x67 + x66 + x64 + x63 + x59 + x55 + x54 + x52 + x50 + x49 + x48 + x45 + x44 + x41 + x38 + x34 + x31 + x30 + x28 + x27 + x25 + x23 + x21 + x19 + x18 + x16 + x13 + x12 + x11 + x10 + x7 + x6 + x5 + x + 1
v74 = x148 (mod f)v74 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111000111000111111011100100010110110101001111011101000100001001110111101101100011110101100010010001100111110011110010100011110
v74 = 0x0000000000000000000000000000000038e3f722da9ee884ef6c7ac48cf9e51e
v74 = x125 + x124 + x123 + x119 + x118 + x117 + x113 + x112 + x111 + x110 + x109 + x108 + x106 + x105 + x104 + x101 + x97 + x95 + x94 + x92 + x91 + x89 + x87 + x84 + x83 + x82 + x81 + x79 + x78 + x77 + x75 + x71 + x66 + x63 + x62 + x61 + x59 + x58 + x57 + x56 + x54 + x53 + x51 + x50 + x46 + x45 + x44 + x43 + x41 + x39 + x38 + x34 + x31 + x27 + x26 + x23 + x22 + x21 + x20 + x19 + x16 + x15 + x14 + x13 + x10 + x8 + x4 + x3 + x2 + x
v75 = x150 (mod f)v75 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101000010100110000101100111111011111000001111100101000101000010111000110000001010110001100010111010101101010101000001011101010
v75 = 0x0000000000000000000000000000000028530b3f7c1f28a1718158c5d5aa82ea
v75 = x125 + x123 + x118 + x116 + x113 + x112 + x107 + x105 + x104 + x101 + x100 + x99 + x98 + x97 + x96 + x94 + x93 + x92 + x91 + x90 + x84 + x83 + x82 + x81 + x80 + x77 + x75 + x71 + x69 + x64 + x62 + x61 + x60 + x56 + x55 + x48 + x46 + x44 + x43 + x39 + x38 + x34 + x32 + x31 + x30 + x28 + x26 + x24 + x23 + x21 + x19 + x17 + x15 + x9 + x7 + x6 + x5 + x3 + x
v76 = x152 (mod f)v76 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111011111101001000010010011111011010010101001101101011011100110110000101101100010010010101101000011110000011001011001110011
v76 = 0x000000000000000000000000000000000f7e9093ed2a6d6e6c2d892b43c19673
v76 = x123 + x122 + x121 + x120 + x118 + x117 + x116 + x115 + x114 + x113 + x111 + x108 + x103 + x100 + x97 + x96 + x95 + x94 + x93 + x91 + x90 + x88 + x85 + x83 + x81 + x78 + x77 + x75 + x74 + x72 + x70 + x69 + x67 + x66 + x65 + x62 + x61 + x59 + x58 + x53 + x51 + x50 + x48 + x47 + x43 + x40 + x37 + x35 + x33 + x32 + x30 + x25 + x24 + x23 + x22 + x16 + x15 + x12 + x10 + x9 + x6 + x5 + x4 + x + 1
v77 = x154 (mod f)v77 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111101111110100100001001001111101101001010100110110101101110011011000010110110001001001010110100001111000001100101100111001100
v77 = 0x000000000000000000000000000000003dfa424fb4a9b5b9b0b624ad0f0659cc
v77 = x125 + x124 + x123 + x122 + x120 + x119 + x118 + x117 + x116 + x115 + x113 + x110 + x105 + x102 + x99 + x98 + x97 + x96 + x95 + x93 + x92 + x90 + x87 + x85 + x83 + x80 + x79 + x77 + x76 + x74 + x72 + x71 + x69 + x68 + x67 + x64 + x63 + x61 + x60 + x55 + x53 + x52 + x50 + x49 + x45 + x42 + x39 + x37 + x35 + x34 + x32 + x27 + x26 + x25 + x24 + x18 + x17 + x14 + x12 + x11 + x8 + x7 + x6 + x3 + x2
v78 = x156 (mod f)v78 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111100001101011101111010001010110001001100001001011100010101000000111011101000001000010110001111011010010101000111000110100010
v78 = 0x000000000000000000000000000000003c35de8ac4c25c540ee82163da5471a2
v78 = x125 + x124 + x123 + x122 + x117 + x116 + x114 + x112 + x111 + x110 + x108 + x107 + x106 + x105 + x103 + x99 + x97 + x95 + x94 + x90 + x87 + x86 + x81 + x78 + x76 + x75 + x74 + x70 + x68 + x66 + x59 + x58 + x57 + x55 + x54 + x53 + x51 + x45 + x40 + x38 + x37 + x33 + x32 + x31 + x30 + x28 + x27 + x25 + x22 + x20 + x18 + x14 + x13 + x12 + x8 + x7 + x5 + x
v79 = x158 (mod f)v79 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111011000010111010110110011111000001010110110111111011111000101111011110010000001101100101100010001111000111001101000000011010
v79 = 0x000000000000000000000000000000003b0bad9f056dfbe2f79036588f1cd01a
v79 = x125 + x124 + x123 + x121 + x120 + x115 + x113 + x112 + x111 + x109 + x107 + x106 + x104 + x103 + x100 + x99 + x98 + x97 + x96 + x90 + x88 + x86 + x85 + x83 + x82 + x80 + x79 + x78 + x77 + x76 + x75 + x73 + x72 + x71 + x70 + x69 + x65 + x63 + x62 + x61 + x60 + x58 + x57 + x56 + x55 + x52 + x45 + x44 + x42 + x41 + x38 + x36 + x35 + x31 + x27 + x26 + x25 + x24 + x20 + x19 + x18 + x15 + x14 + x12 + x4 + x3 + x
v80 = x160 (mod f)v80 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100111111100100110000111001000000000111101001101100101001110010001001001110000011010101011010111011010001111100101011011111010
v80 = 0x0000000000000000000000000000000027f261c803d3653912706ab5da3e56fa
v80 = x125 + x122 + x121 + x120 + x119 + x118 + x117 + x116 + x113 + x110 + x109 + x104 + x103 + x102 + x99 + x89 + x88 + x87 + x86 + x84 + x81 + x80 + x78 + x77 + x74 + x72 + x69 + x68 + x67 + x64 + x60 + x57 + x54 + x53 + x52 + x46 + x45 + x43 + x41 + x39 + x37 + x36 + x34 + x32 + x31 + x30 + x28 + x27 + x25 + x21 + x20 + x19 + x18 + x17 + x14 + x12 + x10 + x9 + x7 + x6 + x5 + x4 + x3 + x
v81 = x162 (mod f)v81 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110001111110110011101101001110000100100001101101011011000011111110001111101001010000001110101101111101100100101100011000110011
v81 = 0x0000000000000000000000000000000031fb3b4e121b5b0fe3e940eb7d92c633
v81 = x125 + x124 + x120 + x119 + x118 + x117 + x116 + x115 + x113 + x112 + x109 + x108 + x107 + x105 + x104 + x102 + x99 + x98 + x97 + x92 + x89 + x84 + x83 + x81 + x80 + x78 + x76 + x75 + x73 + x72 + x67 + x66 + x65 + x64 + x63 + x62 + x61 + x57 + x56 + x55 + x54 + x53 + x51 + x48 + x46 + x39 + x38 + x37 + x35 + x33 + x32 + x30 + x29 + x28 + x27 + x26 + x24 + x23 + x20 + x17 + x15 + x14 + x10 + x9 + x5 + x4 + x + 1
v82 = x164 (mod f)v82 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001100001100000011101010001100010111100000100111100110100011010100001110010101101100000111101000010000000001100000111001011110
v82 = 0x000000000000000000000000000000000c303a8c5e09e68d4395b07a10060e5e
v82 = x123 + x122 + x117 + x116 + x109 + x108 + x107 + x105 + x103 + x99 + x98 + x94 + x92 + x91 + x90 + x89 + x83 + x80 + x79 + x78 + x77 + x74 + x73 + x71 + x67 + x66 + x64 + x62 + x57 + x56 + x55 + x52 + x50 + x48 + x47 + x45 + x44 + x38 + x37 + x36 + x35 + x33 + x28 + x18 + x17 + x11 + x10 + x9 + x6 + x4 + x3 + x2 + x
v83 = x166 (mod f)v83 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110000110000001110101000110001011110000010011110011010001101010000111001010110110000011110100001000000000110000011100101111000
v83 = 0x0000000000000000000000000000000030c0ea3178279a350e56c1e840183978
v83 = x125 + x124 + x119 + x118 + x111 + x110 + x109 + x107 + x105 + x101 + x100 + x96 + x94 + x93 + x92 + x91 + x85 + x82 + x81 + x80 + x79 + x76 + x75 + x73 + x69 + x68 + x66 + x64 + x59 + x58 + x57 + x54 + x52 + x50 + x49 + x47 + x46 + x40 + x39 + x38 + x37 + x35 + x30 + x20 + x19 + x13 + x12 + x11 + x8 + x6 + x5 + x4 + x3
v84 = x168 (mod f)v84 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000110111110111111101110001111101101111101011100010011001101111010101101011101101000111011011100110001011011111001101110010
v84 = 0x0000000000000000000000000000000008df7f71f6fae266f56bb476e62df372
v84 = x123 + x119 + x118 + x116 + x115 + x114 + x113 + x112 + x110 + x109 + x108 + x107 + x106 + x105 + x104 + x102 + x101 + x100 + x96 + x95 + x94 + x93 + x92 + x90 + x89 + x87 + x86 + x85 + x84 + x83 + x81 + x79 + x78 + x77 + x73 + x70 + x69 + x66 + x65 + x63 + x62 + x61 + x60 + x58 + x56 + x54 + x53 + x51 + x49 + x48 + x47 + x45 + x44 + x42 + x38 + x37 + x36 + x34 + x33 + x31 + x30 + x29 + x26 + x25 + x21 + x19 + x18 + x16 + x15 + x14 + x13 + x12 + x9 + x8 + x6 + x5 + x4 + x
v85 = x170 (mod f)v85 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100011011111011111110111000111110110111110101110001001100110111101010110101110110100011101101110011000101101111100110111001000
v85 = 0x00000000000000000000000000000000237dfdc7dbeb899bd5aed1db98b7cdc8
v85 = x125 + x121 + x120 + x118 + x117 + x116 + x115 + x114 + x112 + x111 + x110 + x109 + x108 + x107 + x106 + x104 + x103 + x102 + x98 + x97 + x96 + x95 + x94 + x92 + x91 + x89 + x88 + x87 + x86 + x85 + x83 + x81 + x80 + x79 + x75 + x72 + x71 + x68 + x67 + x65 + x64 + x63 + x62 + x60 + x58 + x56 + x55 + x53 + x51 + x50 + x49 + x47 + x46 + x44 + x40 + x39 + x38 + x36 + x35 + x33 + x32 + x31 + x28 + x27 + x23 + x21 + x20 + x18 + x17 + x16 + x15 + x14 + x11 + x10 + x8 + x7 + x6 + x3
v86 = x172 (mod f)v86 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100011110001010100101101110001011100101111100011101001100001001111110010010011101011010101001001110111101101001010101011111011
v86 = 0x0000000000000000000000000000000023c54b7172f8e984fc93ad5277b4aafb
v86 = x125 + x121 + x120 + x119 + x118 + x114 + x112 + x110 + x107 + x105 + x104 + x102 + x101 + x100 + x96 + x94 + x93 + x92 + x89 + x87 + x86 + x85 + x84 + x83 + x79 + x78 + x77 + x75 + x72 + x71 + x66 + x63 + x62 + x61 + x60 + x59 + x58 + x55 + x52 + x49 + x48 + x47 + x45 + x43 + x42 + x40 + x38 + x36 + x33 + x30 + x29 + x28 + x26 + x25 + x24 + x23 + x21 + x20 + x18 + x15 + x13 + x11 + x9 + x7 + x6 + x5 + x4 + x3 + x + 1
v87 = x174 (mod f)v87 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100001001001111001000110101011110101101011010101101001111110000101100001100110010111110111010111001011101110010011011000110111
v87 = 0x00000000000000000000000000000000212791abd6b569f858665f75cbb93637
v87 = x125 + x120 + x117 + x114 + x113 + x112 + x111 + x108 + x104 + x103 + x101 + x99 + x97 + x96 + x95 + x94 + x92 + x90 + x89 + x87 + x85 + x84 + x82 + x80 + x78 + x77 + x75 + x72 + x71 + x70 + x69 + x68 + x67 + x62 + x60 + x59 + x54 + x53 + x50 + x49 + x46 + x44 + x43 + x42 + x41 + x40 + x38 + x37 + x36 + x34 + x32 + x31 + x30 + x27 + x25 + x24 + x23 + x21 + x20 + x19 + x16 + x13 + x12 + x10 + x9 + x5 + x4 + x2 + x + 1
v88 = x176 (mod f)v88 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101010101011001111101011000001010001111000001101101000000010101100101110110001100101111110101100111011100011110100010100000111
v88 = 0x000000000000000000000000000000002aacfac14783680acbb197eb3b8f4507
v88 = x125 + x123 + x121 + x119 + x117 + x115 + x114 + x111 + x110 + x109 + x108 + x107 + x105 + x103 + x102 + x96 + x94 + x90 + x89 + x88 + x87 + x81 + x80 + x78 + x77 + x75 + x67 + x65 + x63 + x62 + x59 + x57 + x56 + x55 + x53 + x52 + x48 + x47 + x44 + x42 + x41 + x40 + x39 + x38 + x37 + x35 + x33 + x32 + x29 + x28 + x27 + x25 + x24 + x23 + x19 + x18 + x17 + x16 + x14 + x10 + x8 + x2 + x + 1
v89 = x178 (mod f)v89 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100100000010101011101101011000000110101101101101111110000001000010011101110101101011001000011111011010101101000100111000111
v89 = 0x000000000000000000000000000000000481576b035b6fc084eeb590fb5689c7
v89 = x122 + x119 + x112 + x110 + x108 + x106 + x105 + x104 + x102 + x101 + x99 + x97 + x96 + x89 + x88 + x86 + x84 + x83 + x81 + x80 + x78 + x77 + x75 + x74 + x73 + x72 + x71 + x70 + x63 + x58 + x55 + x54 + x53 + x51 + x50 + x49 + x47 + x45 + x44 + x42 + x40 + x39 + x36 + x31 + x30 + x29 + x28 + x27 + x25 + x24 + x22 + x20 + x18 + x17 + x15 + x11 + x8 + x7 + x6 + x2 + x + 1
v90 = x180 (mod f)v90 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010010000001010101110110101100000011010110110110111111000000100001001110111010110101100100001111101101010110100010011100011100
v90 = 0x0000000000000000000000000000000012055dac0d6dbf0213bad643ed5a271c
v90 = x124 + x121 + x114 + x112 + x110 + x108 + x107 + x106 + x104 + x103 + x101 + x99 + x98 + x91 + x90 + x88 + x86 + x85 + x83 + x82 + x80 + x79 + x77 + x76 + x75 + x74 + x73 + x72 + x65 + x60 + x57 + x56 + x55 + x53 + x52 + x51 + x49 + x47 + x46 + x44 + x42 + x41 + x38 + x33 + x32 + x31 + x30 + x29 + x27 + x26 + x24 + x22 + x20 + x19 + x17 + x13 + x10 + x9 + x8 + x4 + x3 + x2
v91 = x182 (mod f)v91 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101101111110110001110101101010001111101000010010111001010100010010100011110011000000001110010001000110010011100001011100111001
v91 = 0x000000000000000000000000000000002dfb1d6a3e84b95128f300e4464e1739
v91 = x125 + x123 + x122 + x120 + x119 + x118 + x117 + x116 + x115 + x113 + x112 + x108 + x107 + x106 + x104 + x102 + x101 + x99 + x97 + x93 + x92 + x91 + x90 + x89 + x87 + x82 + x79 + x77 + x76 + x75 + x72 + x70 + x68 + x64 + x61 + x59 + x55 + x54 + x53 + x52 + x49 + x48 + x39 + x38 + x37 + x34 + x30 + x26 + x25 + x22 + x19 + x18 + x17 + x12 + x10 + x9 + x8 + x5 + x4 + x3 + 1
v92 = x184 (mod f)v92 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011001110111101100100111000110111001110100010000101010101011110000100111100100111010011010110100001100010100111100000100111111
v92 = 0x0000000000000000000000000000000019dec9c6e7442aaf09e4e9ad0c53c13f
v92 = x124 + x123 + x120 + x119 + x118 + x116 + x115 + x114 + x113 + x111 + x110 + x107 + x104 + x103 + x102 + x98 + x97 + x95 + x94 + x93 + x90 + x89 + x88 + x86 + x82 + x77 + x75 + x73 + x71 + x69 + x67 + x66 + x65 + x64 + x59 + x56 + x55 + x54 + x53 + x50 + x47 + x46 + x45 + x43 + x40 + x39 + x37 + x35 + x34 + x32 + x27 + x26 + x22 + x20 + x17 + x16 + x15 + x14 + x8 + x5 + x4 + x3 + x2 + x + 1
v93 = x186 (mod f)v93 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010100101010100110011000001100101100010001011101111111001010100000110001011111111110101111111000010011010011000111110110101
v93 = 0x0000000000000000000000000000000002954cc19622efe5418bff5fc2698fb5
v93 = x121 + x119 + x116 + x114 + x112 + x110 + x107 + x106 + x103 + x102 + x96 + x95 + x92 + x90 + x89 + x85 + x81 + x79 + x78 + x77 + x75 + x74 + x73 + x72 + x71 + x70 + x69 + x66 + x64 + x62 + x56 + x55 + x51 + x49 + x48 + x47 + x46 + x45 + x44 + x43 + x42 + x41 + x40 + x38 + x36 + x35 + x34 + x33 + x32 + x31 + x30 + x25 + x22 + x21 + x19 + x16 + x15 + x11 + x10 + x9 + x8 + x7 + x5 + x4 + x2 + 1
v94 = x188 (mod f)v94 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001010010101010011001100000110010110001000101110111111100101010000011000101111111111010111111100001001101001100011111011010100
v94 = 0x000000000000000000000000000000000a553306588bbf95062ffd7f09a63ed4
v94 = x123 + x121 + x118 + x116 + x114 + x112 + x109 + x108 + x105 + x104 + x98 + x97 + x94 + x92 + x91 + x87 + x83 + x81 + x80 + x79 + x77 + x76 + x75 + x74 + x73 + x72 + x71 + x68 + x66 + x64 + x58 + x57 + x53 + x51 + x50 + x49 + x48 + x47 + x46 + x45 + x44 + x43 + x42 + x40 + x38 + x37 + x36 + x35 + x34 + x33 + x32 + x27 + x24 + x23 + x21 + x18 + x17 + x13 + x12 + x11 + x10 + x9 + x7 + x6 + x4 + x2
v95 = x190 (mod f)v95 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101001010101001100110000011001011000100010111011111110010101000001100010111111111101011111110000100110100110001111101101010000
v95 = 0x000000000000000000000000000000002954cc19622efe5418bff5fc2698fb50
v95 = x125 + x123 + x120 + x118 + x116 + x114 + x111 + x110 + x107 + x106 + x100 + x99 + x96 + x94 + x93 + x89 + x85 + x83 + x82 + x81 + x79 + x78 + x77 + x76 + x75 + x74 + x73 + x70 + x68 + x66 + x60 + x59 + x55 + x53 + x52 + x51 + x50 + x49 + x48 + x47 + x46 + x45 + x44 + x42 + x40 + x39 + x38 + x37 + x36 + x35 + x34 + x29 + x26 + x25 + x23 + x20 + x19 + x15 + x14 + x13 + x12 + x11 + x9 + x8 + x6 + x4
v96 = x192 (mod f)v96 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001011011000011000110000001011100101011110110100110110101110111100100011010111001111011100110010001111000010000111000010011011
v96 = 0x000000000000000000000000000000000b618c0b95ed36bbc8d73dcc8f08709b
v96 = x123 + x121 + x120 + x118 + x117 + x112 + x111 + x107 + x106 + x99 + x97 + x96 + x95 + x92 + x90 + x88 + x87 + x86 + x85 + x83 + x82 + x80 + x77 + x76 + x74 + x73 + x71 + x69 + x68 + x67 + x65 + x64 + x63 + x62 + x59 + x55 + x54 + x52 + x50 + x49 + x48 + x45 + x44 + x43 + x42 + x40 + x39 + x38 + x35 + x34 + x31 + x27 + x26 + x25 + x24 + x19 + x14 + x13 + x12 + x7 + x4 + x3 + x + 1
v97 = x194 (mod f)v97 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101101100001100011000000101110010101111011010011011010111011110010001101011100111101110011001000111100001000011100001001101100
v97 = 0x000000000000000000000000000000002d86302e57b4daef235cf7323c21c26c
v97 = x125 + x123 + x122 + x120 + x119 + x114 + x113 + x109 + x108 + x101 + x99 + x98 + x97 + x94 + x92 + x90 + x89 + x88 + x87 + x85 + x84 + x82 + x79 + x78 + x76 + x75 + x73 + x71 + x70 + x69 + x67 + x66 + x65 + x64 + x61 + x57 + x56 + x54 + x52 + x51 + x50 + x47 + x46 + x45 + x44 + x42 + x41 + x40 + x37 + x36 + x33 + x29 + x28 + x27 + x26 + x21 + x16 + x15 + x14 + x9 + x6 + x5 + x3 + x2
v98 = x196 (mod f)v98 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000001010100111110011010111010000111000010110100100010101110010011101011011001101101111010011100101111011001001010001101011
v98 = 0x00000000000000000000000000000000182a7cd74385a457275b36f4e5ec946b
v98 = x124 + x123 + x117 + x115 + x113 + x110 + x109 + x108 + x107 + x106 + x103 + x102 + x100 + x98 + x97 + x96 + x94 + x89 + x88 + x87 + x82 + x80 + x79 + x77 + x74 + x70 + x68 + x66 + x65 + x64 + x61 + x58 + x57 + x56 + x54 + x52 + x51 + x49 + x48 + x45 + x44 + x42 + x41 + x39 + x38 + x37 + x36 + x34 + x31 + x30 + x29 + x26 + x24 + x23 + x22 + x21 + x19 + x18 + x15 + x12 + x10 + x6 + x5 + x3 + x + 1
v99 = x198 (mod f)v99 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101010001111001100010000111000001010010010011010100000001011111101101110100100000100011100001100100100101001101101011100101
v99 = 0x00000000000000000000000000000000054798870524d405fb7482386494dae5
v99 = x122 + x120 + x118 + x114 + x113 + x112 + x111 + x108 + x107 + x103 + x98 + x97 + x96 + x90 + x88 + x85 + x82 + x79 + x78 + x76 + x74 + x66 + x64 + x63 + x62 + x61 + x60 + x59 + x57 + x56 + x54 + x53 + x52 + x50 + x47 + x41 + x37 + x36 + x35 + x30 + x29 + x26 + x23 + x20 + x18 + x15 + x14 + x12 + x11 + x9 + x7 + x6 + x5 + x2 + 1
v100 = x200 (mod f)v100 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010101000111100110001000011100000101001001001101010000000101111110110111010010000010001110000110010010010100110110101110010100
v100 = 0x00000000000000000000000000000000151e621c14935017edd208e192536b94
v100 = x124 + x122 + x120 + x116 + x115 + x114 + x113 + x110 + x109 + x105 + x100 + x99 + x98 + x92 + x90 + x87 + x84 + x81 + x80 + x78 + x76 + x68 + x66 + x65 + x64 + x63 + x62 + x61 + x59 + x58 + x56 + x55 + x54 + x52 + x49 + x43 + x39 + x38 + x37 + x32 + x31 + x28 + x25 + x22 + x20 + x17 + x16 + x14 + x13 + x11 + x9 + x8 + x7 + x4 + x2
v101 = x202 (mod f)v101 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110001100101111110001110101010010110010111111100000101000001101101000101010000011110100110110110111010011010110010010100011001
v101 = 0x000000000000000000000000000000003197e3aa597f0506d1507a6dba6b2519
v101 = x125 + x124 + x120 + x119 + x116 + x114 + x113 + x112 + x111 + x110 + x109 + x105 + x104 + x103 + x101 + x99 + x97 + x94 + x92 + x91 + x88 + x86 + x85 + x84 + x83 + x82 + x81 + x80 + x74 + x72 + x66 + x65 + x63 + x62 + x60 + x56 + x54 + x52 + x46 + x45 + x44 + x43 + x41 + x38 + x37 + x35 + x34 + x32 + x31 + x29 + x28 + x27 + x25 + x22 + x21 + x19 + x17 + x16 + x13 + x10 + x8 + x4 + x3 + 1
v102 = x204 (mod f)v102 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001101100000110101100100011101011100111001100010011110101010011000100101110001010110100110000100001111111000011000001011110110
v102 = 0x000000000000000000000000000000000d83591d73989ea989715a610fe182f6
v102 = x123 + x122 + x120 + x119 + x113 + x112 + x110 + x108 + x107 + x104 + x100 + x99 + x98 + x96 + x94 + x93 + x92 + x89 + x88 + x87 + x84 + x83 + x79 + x76 + x75 + x74 + x73 + x71 + x69 + x67 + x64 + x63 + x59 + x56 + x54 + x53 + x52 + x48 + x46 + x44 + x43 + x41 + x38 + x37 + x32 + x27 + x26 + x25 + x24 + x23 + x22 + x21 + x16 + x15 + x9 + x7 + x6 + x5 + x4 + x2 + x
v103 = x206 (mod f)v103 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110110000011010110010001110101110011100110001001111010101001100010010111000101011010011000010000111111100001100000101111011000
v103 = 0x00000000000000000000000000000000360d6475ce627aa625c569843f860bd8
v103 = x125 + x124 + x122 + x121 + x115 + x114 + x112 + x110 + x109 + x106 + x102 + x101 + x100 + x98 + x96 + x95 + x94 + x91 + x90 + x89 + x86 + x85 + x81 + x78 + x77 + x76 + x75 + x73 + x71 + x69 + x66 + x65 + x61 + x58 + x56 + x55 + x54 + x50 + x48 + x46 + x45 + x43 + x40 + x39 + x34 + x29 + x28 + x27 + x26 + x25 + x24 + x23 + x18 + x17 + x11 + x9 + x8 + x7 + x6 + x4 + x3
v104 = x208 (mod f)v104 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010011111010010100011001100011001011111110110101100000001010100101101100100101000101011100011100011000010101010011100111110010
v104 = 0x0000000000000000000000000000000013e946632fed602a5b2515c7185539f2
v104 = x124 + x121 + x120 + x119 + x118 + x117 + x115 + x112 + x110 + x106 + x105 + x102 + x101 + x97 + x96 + x93 + x91 + x90 + x89 + x88 + x87 + x86 + x85 + x83 + x82 + x80 + x78 + x77 + x69 + x67 + x65 + x62 + x60 + x59 + x57 + x56 + x53 + x50 + x48 + x44 + x42 + x40 + x39 + x38 + x34 + x33 + x32 + x28 + x27 + x22 + x20 + x18 + x16 + x13 + x12 + x11 + x8 + x7 + x6 + x5 + x4 + x
v105 = x210 (mod f)v105 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101010010010110111001001010110101101001000011111000101111100000000101010001100000011101111011110010010011100100110110010000001
v105 = 0x000000000000000000000000000000002a4b7256b487c5f00a8c0ef792726c81
v105 = x125 + x123 + x121 + x118 + x115 + x113 + x112 + x110 + x109 + x108 + x105 + x102 + x100 + x98 + x97 + x95 + x93 + x92 + x90 + x87 + x82 + x81 + x80 + x79 + x78 + x74 + x72 + x71 + x70 + x69 + x68 + x59 + x57 + x55 + x51 + x50 + x43 + x42 + x41 + x39 + x38 + x37 + x36 + x34 + x33 + x32 + x31 + x28 + x25 + x22 + x21 + x20 + x17 + x14 + x13 + x11 + x10 + x7 + 1
v106 = x212 (mod f)v106 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111000111110111010100110100110011110100100111011000001010111000000000011000110100011110001001011100101000100010111111011111
v106 = 0x00000000000000000000000000000000071f7534cf49d82b8018d1e25ca22fdf
v106 = x122 + x121 + x120 + x116 + x115 + x114 + x113 + x112 + x110 + x109 + x108 + x106 + x104 + x101 + x100 + x98 + x95 + x94 + x91 + x90 + x89 + x88 + x86 + x83 + x80 + x79 + x78 + x76 + x75 + x69 + x67 + x65 + x64 + x63 + x52 + x51 + x47 + x46 + x44 + x40 + x39 + x38 + x37 + x33 + x30 + x28 + x27 + x26 + x23 + x21 + x17 + x13 + x11 + x10 + x9 + x8 + x7 + x6 + x4 + x3 + x2 + x + 1
v107 = x214 (mod f)v107 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011100011111011101010011010011001111010010011101100000101011100000000001100011010001111000100101110010100010001011111101111100
v107 = 0x000000000000000000000000000000001c7dd4d33d2760ae006347897288bf7c
v107 = x124 + x123 + x122 + x118 + x117 + x116 + x115 + x114 + x112 + x111 + x110 + x108 + x106 + x103 + x102 + x100 + x97 + x96 + x93 + x92 + x91 + x90 + x88 + x85 + x82 + x81 + x80 + x78 + x77 + x71 + x69 + x67 + x66 + x65 + x54 + x53 + x49 + x48 + x46 + x42 + x41 + x40 + x39 + x35 + x32 + x30 + x29 + x28 + x25 + x23 + x19 + x15 + x13 + x12 + x11 + x10 + x9 + x8 + x6 + x5 + x4 + x3 + x2
v108 = x216 (mod f)v108 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010100000110010011100010010110111111111010111111000111111000010110011110010101010001111100111000111001000001000111011010111001
v108 = 0x0000000000000000000000000000000014193896ffafc7e1679547ce390476b9
v108 = x124 + x122 + x116 + x115 + x112 + x109 + x108 + x107 + x103 + x100 + x98 + x97 + x95 + x94 + x93 + x92 + x91 + x90 + x89 + x88 + x87 + x85 + x83 + x82 + x81 + x80 + x79 + x78 + x74 + x73 + x72 + x71 + x70 + x69 + x64 + x62 + x61 + x58 + x57 + x56 + x55 + x52 + x50 + x48 + x46 + x42 + x41 + x40 + x39 + x38 + x35 + x34 + x33 + x29 + x28 + x27 + x24 + x18 + x14 + x13 + x12 + x10 + x9 + x7 + x5 + x4 + x3 + 1
v109 = x218 (mod f)v109 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110101100010101000100110000001111101011000110101011010110111001111100001001101010001101101001100010111001101110101000110101101
v109 = 0x00000000000000000000000000000000358a8981f58d5adcf84d46d3173751ad
v109 = x125 + x124 + x122 + x120 + x119 + x115 + x113 + x111 + x107 + x104 + x103 + x96 + x95 + x94 + x93 + x92 + x90 + x88 + x87 + x83 + x82 + x80 + x78 + x76 + x75 + x73 + x71 + x70 + x68 + x67 + x66 + x63 + x62 + x61 + x60 + x59 + x54 + x51 + x50 + x48 + x46 + x42 + x41 + x39 + x38 + x36 + x33 + x32 + x28 + x26 + x25 + x24 + x21 + x20 + x18 + x17 + x16 + x14 + x12 + x8 + x7 + x5 + x3 + x2 + 1
v110 = x220 (mod f)v110 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011101111101101111000110110011110000000101000111100001110000010010110100000101101010001001101110111010100100000101000000100110
v110 = 0x000000000000000000000000000000001df6f1b3c051e1c12d05a89bba905026
v110 = x124 + x123 + x122 + x120 + x119 + x118 + x117 + x116 + x114 + x113 + x111 + x110 + x109 + x108 + x104 + x103 + x101 + x100 + x97 + x96 + x95 + x94 + x86 + x84 + x80 + x79 + x78 + x77 + x72 + x71 + x70 + x64 + x61 + x59 + x58 + x56 + x50 + x48 + x47 + x45 + x43 + x39 + x36 + x35 + x33 + x32 + x31 + x29 + x28 + x27 + x25 + x23 + x20 + x14 + x12 + x5 + x2 + x
v111 = x222 (mod f)v111 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010010001101011010110100010101000010100111010111000010010111011101001000001110111110111000010100011001011001111100101111010001
v111 = 0x000000000000000000000000000000001235ad150a75c25dd20efb851967cbd1
v111 = x124 + x121 + x117 + x116 + x114 + x112 + x111 + x109 + x107 + x106 + x104 + x100 + x98 + x96 + x91 + x89 + x86 + x85 + x84 + x82 + x80 + x79 + x78 + x73 + x70 + x68 + x67 + x66 + x64 + x63 + x62 + x60 + x57 + x51 + x50 + x49 + x47 + x46 + x45 + x44 + x43 + x41 + x40 + x39 + x34 + x32 + x28 + x27 + x24 + x22 + x21 + x18 + x17 + x16 + x15 + x14 + x11 + x9 + x8 + x7 + x6 + x4 + 1
v112 = x224 (mod f)v112 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101101001110001101111110001110001000101110010101001100001011100010111000100011101101111111111110010110101110011010010000001101
v112 = 0x000000000000000000000000000000002d38df8e22e54c2e2e23b7ff96b9a40d
v112 = x125 + x123 + x122 + x120 + x117 + x116 + x115 + x111 + x110 + x108 + x107 + x106 + x105 + x104 + x103 + x99 + x98 + x97 + x93 + x89 + x87 + x86 + x85 + x82 + x80 + x78 + x75 + x74 + x69 + x67 + x66 + x65 + x61 + x59 + x58 + x57 + x53 + x49 + x48 + x47 + x45 + x44 + x42 + x41 + x40 + x39 + x38 + x37 + x36 + x35 + x34 + x33 + x32 + x31 + x28 + x26 + x25 + x23 + x21 + x20 + x19 + x16 + x15 + x13 + x10 + x3 + x2 + 1
v113 = x226 (mod f)v113 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011010110100011100001001010110100101101100001111111111010100110001001010100110001101011100001001001111100011010000110111101111
v113 = 0x000000000000000000000000000000001ad1c25696c3ff5312a635c24f8d0def
v113 = x124 + x123 + x121 + x119 + x118 + x116 + x112 + x111 + x110 + x105 + x102 + x100 + x98 + x97 + x95 + x92 + x90 + x89 + x87 + x86 + x81 + x80 + x79 + x78 + x77 + x76 + x75 + x74 + x73 + x72 + x70 + x68 + x65 + x64 + x60 + x57 + x55 + x53 + x50 + x49 + x45 + x44 + x42 + x40 + x39 + x38 + x33 + x30 + x27 + x26 + x25 + x24 + x23 + x19 + x18 + x16 + x11 + x10 + x8 + x7 + x6 + x5 + x3 + x2 + x + 1
v114 = x228 (mod f)v114 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001110101010010110001010000000010100000011110110111000000101010010110010000000100011101110001011001101000100101011110011110101
v114 = 0x000000000000000000000000000000000ea96280503db8152c808ee2cd12bcf5
v114 = x123 + x122 + x121 + x119 + x117 + x115 + x112 + x110 + x109 + x105 + x103 + x94 + x92 + x85 + x84 + x83 + x82 + x80 + x79 + x77 + x76 + x75 + x68 + x66 + x64 + x61 + x59 + x58 + x55 + x47 + x43 + x42 + x41 + x39 + x38 + x37 + x33 + x31 + x30 + x27 + x26 + x24 + x20 + x17 + x15 + x13 + x12 + x11 + x10 + x7 + x6 + x5 + x4 + x2 + 1
v115 = x230 (mod f)v115 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111010101001011000101000000001010000001111011011100000010101001011001000000010001110111000101100110100010010101111001111010100
v115 = 0x000000000000000000000000000000003aa58a0140f6e054b2023b8b344af3d4
v115 = x125 + x124 + x123 + x121 + x119 + x117 + x114 + x112 + x111 + x107 + x105 + x96 + x94 + x87 + x86 + x85 + x84 + x82 + x81 + x79 + x78 + x77 + x70 + x68 + x66 + x63 + x61 + x60 + x57 + x49 + x45 + x44 + x43 + x41 + x40 + x39 + x35 + x33 + x32 + x29 + x28 + x26 + x22 + x19 + x17 + x15 + x14 + x13 + x12 + x9 + x8 + x7 + x6 + x4 + x2
v116 = x232 (mod f)v116 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100001010010101111111110110001000101011011111100001011111000000000010000111000010111011111101100110111011001101101100111000010
v116 = 0x00000000000000000000000000000000214affb115bf0be004385dfb3766d9c2
v116 = x125 + x120 + x118 + x115 + x113 + x111 + x110 + x109 + x108 + x107 + x106 + x105 + x104 + x103 + x101 + x100 + x96 + x92 + x90 + x88 + x87 + x85 + x84 + x83 + x82 + x81 + x80 + x75 + x73 + x72 + x71 + x70 + x69 + x58 + x53 + x52 + x51 + x46 + x44 + x43 + x42 + x40 + x39 + x38 + x37 + x36 + x35 + x33 + x32 + x29 + x28 + x26 + x25 + x24 + x22 + x21 + x18 + x17 + x15 + x14 + x12 + x11 + x8 + x7 + x6 + x
v117 = x234 (mod f)v117 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101011000110010100001010101010010010111010101011100000011010111011101011001001100111011101000011001000111100001111101011010011
v117 = 0x000000000000000000000000000000002b1942aa4baae06bbac99dd0c8f0fad3
v117 = x125 + x123 + x121 + x120 + x116 + x115 + x112 + x110 + x105 + x103 + x101 + x99 + x97 + x94 + x91 + x89 + x88 + x87 + x85 + x83 + x81 + x79 + x78 + x77 + x70 + x69 + x67 + x65 + x64 + x63 + x61 + x60 + x59 + x57 + x55 + x54 + x51 + x48 + x47 + x44 + x43 + x42 + x40 + x39 + x38 + x36 + x31 + x30 + x27 + x23 + x22 + x21 + x20 + x15 + x14 + x13 + x12 + x11 + x9 + x7 + x6 + x4 + x + 1
v118 = x236 (mod f)v118 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010010101111011011011000111001100111111110101001110010001010100000100001110100111010111111100110110101010000111011010010111
v118 = 0x000000000000000000000000000000000257b6c733fd4e45410e9d7f36a87697
v118 = x121 + x118 + x116 + x114 + x113 + x112 + x111 + x109 + x108 + x106 + x105 + x103 + x102 + x98 + x97 + x96 + x93 + x92 + x89 + x88 + x87 + x86 + x85 + x84 + x83 + x82 + x80 + x78 + x75 + x74 + x73 + x70 + x66 + x64 + x62 + x56 + x51 + x50 + x49 + x47 + x44 + x43 + x42 + x40 + x38 + x37 + x36 + x35 + x34 + x33 + x32 + x29 + x28 + x26 + x25 + x23 + x21 + x19 + x14 + x13 + x12 + x10 + x9 + x7 + x4 + x2 + x + 1
v119 = x238 (mod f)v119 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001001010111101101101100011100110011111111010100111001000101010000010000111010011101011111110011011010101000011101101001011100
v119 = 0x00000000000000000000000000000000095edb1ccff53915043a75fcdaa1da5c
v119 = x123 + x120 + x118 + x116 + x115 + x114 + x113 + x111 + x110 + x108 + x107 + x105 + x104 + x100 + x99 + x98 + x95 + x94 + x91 + x90 + x89 + x88 + x87 + x86 + x85 + x84 + x82 + x80 + x77 + x76 + x75 + x72 + x68 + x66 + x64 + x58 + x53 + x52 + x51 + x49 + x46 + x45 + x44 + x42 + x40 + x39 + x38 + x37 + x36 + x35 + x34 + x31 + x30 + x28 + x27 + x25 + x23 + x21 + x16 + x15 + x14 + x12 + x11 + x9 + x6 + x4 + x3 + x2
v120 = x240 (mod f)v120 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100101011110110110110001110011001111111101010011100100010101000001000011101001110101111111001101101010100001110110100101110000
v120 = 0x00000000000000000000000000000000257b6c733fd4e45410e9d7f36a876970
v120 = x125 + x122 + x120 + x118 + x117 + x116 + x115 + x113 + x112 + x110 + x109 + x107 + x106 + x102 + x101 + x100 + x97 + x96 + x93 + x92 + x91 + x90 + x89 + x88 + x87 + x86 + x84 + x82 + x79 + x78 + x77 + x74 + x70 + x68 + x66 + x60 + x55 + x54 + x53 + x51 + x48 + x47 + x46 + x44 + x42 + x41 + x40 + x39 + x38 + x37 + x36 + x33 + x32 + x30 + x29 + x27 + x25 + x23 + x18 + x17 + x16 + x14 + x13 + x11 + x8 + x6 + x5 + x4
v121 = x242 (mod f)v121 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111011110111110000110110100010111000100000010101011110101110111110100110001111101101011111000110111111011101100011100000011011
v121 = 0x000000000000000000000000000000003bdf0da2e2055ebbe98fb5f1bf76381b
v121 = x125 + x124 + x123 + x121 + x120 + x119 + x118 + x116 + x115 + x114 + x113 + x112 + x107 + x106 + x104 + x103 + x101 + x97 + x95 + x94 + x93 + x89 + x82 + x80 + x78 + x76 + x75 + x74 + x73 + x71 + x69 + x68 + x67 + x65 + x64 + x63 + x62 + x61 + x59 + x56 + x55 + x51 + x50 + x49 + x48 + x47 + x45 + x44 + x42 + x40 + x39 + x38 + x37 + x36 + x32 + x31 + x29 + x28 + x27 + x26 + x25 + x24 + x22 + x21 + x20 + x18 + x17 + x13 + x12 + x11 + x4 + x3 + x + 1
v122 = x244 (mod f)v122 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100100101000001110000100111111100111100111000111110000010111010110101000001110011001000001000100011011100101011111011011111110
v122 = 0x0000000000000000000000000000000024a0e13f9e71f05d6a0e64111b95f6fe
v122 = x125 + x122 + x119 + x117 + x111 + x110 + x109 + x104 + x101 + x100 + x99 + x98 + x97 + x96 + x95 + x92 + x91 + x90 + x89 + x86 + x85 + x84 + x80 + x79 + x78 + x77 + x76 + x70 + x68 + x67 + x66 + x64 + x62 + x61 + x59 + x57 + x51 + x50 + x49 + x46 + x45 + x42 + x36 + x32 + x28 + x27 + x25 + x24 + x23 + x20 + x18 + x16 + x15 + x14 + x13 + x12 + x10 + x9 + x7 + x6 + x5 + x4 + x3 + x2 + x
v123 = x246 (mod f)v123 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111100101100010011100010010000011001001001000100001110100111100000001000010001011110100111100001111011001111000100011000100011
v123 = 0x000000000000000000000000000000003cb1389064910e9e02117a787b3c4623
v123 = x125 + x124 + x123 + x122 + x119 + x117 + x116 + x112 + x109 + x108 + x107 + x103 + x100 + x94 + x93 + x90 + x87 + x84 + x80 + x75 + x74 + x73 + x71 + x68 + x67 + x66 + x65 + x57 + x52 + x48 + x46 + x45 + x44 + x43 + x41 + x38 + x37 + x36 + x35 + x30 + x29 + x28 + x27 + x25 + x24 + x21 + x20 + x19 + x18 + x14 + x10 + x9 + x5 + x + 1
v124 = x248 (mod f)v124 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111001000110000011010111110101100001000010000010110000110010101100010001110101010110100011011000001010101111000000111000011110
v124 = 0x00000000000000000000000000000000391835f58420b0cac4755a360abc0e1e
v124 = x125 + x124 + x123 + x120 + x116 + x115 + x109 + x108 + x106 + x104 + x103 + x102 + x101 + x100 + x98 + x96 + x95 + x90 + x85 + x79 + x77 + x76 + x71 + x70 + x67 + x65 + x63 + x62 + x58 + x54 + x53 + x52 + x50 + x48 + x46 + x44 + x43 + x41 + x37 + x36 + x34 + x33 + x27 + x25 + x23 + x21 + x20 + x19 + x18 + x11 + x10 + x9 + x4 + x3 + x2 + x
v125 = x250 (mod f)v125 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101111101111000000000001100010000001101110011001001001100110011101110111100101110110110000111111001100101111010010111011101010
v125 = 0x000000000000000000000000000000002fbc006206e64999dde5db0fccbd2eea
v125 = x125 + x123 + x122 + x121 + x120 + x119 + x117 + x116 + x115 + x114 + x102 + x101 + x97 + x90 + x89 + x87 + x86 + x85 + x82 + x81 + x78 + x75 + x72 + x71 + x68 + x67 + x64 + x63 + x62 + x60 + x59 + x58 + x56 + x55 + x54 + x53 + x50 + x48 + x47 + x46 + x44 + x43 + x41 + x40 + x35 + x34 + x33 + x32 + x31 + x30 + x27 + x26 + x23 + x21 + x20 + x19 + x18 + x16 + x13 + x11 + x10 + x9 + x7 + x6 + x5 + x3 + x
Represent v0-v125 as matrix Q
Q = 000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
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000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000
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010100000110010011100010010110111111111010111111000111111000010110011110010101010001111100111000111001000001000111011010111001
110101100010101000100110000001111101011000110101011010110111001111100001001101010001101101001100010111001101110101000110101101
011101111101101111000110110011110000000101000111100001110000010010110100000101101010001001101110111010100100000101000000100110
010010001101011010110100010101000010100111010111000010010111011101001000001110111110111000010100011001011001111100101111010001
101101001110001101111110001110001000101110010101001100001011100010111000100011101101111111111110010110101110011010010000001101
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001001010111101101101100011100110011111111010100111001000101010000010000111010011101011111110011011010101000011101101001011100
100101011110110110110001110011001111111101010011100100010101000001000011101001110101111111001101101010100001110110100101110000
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100100101000001110000100111111100111100111000111110000010111010110101000001110011001000001000100011011100101011111011011111110
111100101100010011100010010000011001001001000100001110100111100000001000010001011110100111100001111011001111000100011000100011
111001000110000011010111110101100001000010000010110000110010101100010001110101010110100011011000001010101111000000111000011110
101111101111000000000001100010000001101110011001001001100110011101110111100101110110110000111111001100101111010010111011101010
Represent 126x126 identity matrix I
I = 000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010
000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100
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M = Q-I
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Find null basis vectors of M
nv0 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110101001011110110101011111111010101011110110000100000100101000101100000111000111010011110110101001011101100101011010101011000
nv0 = 0x00000000000000000000000000000000352f6aff55ec20945838e9ed4bb2b558
nv0 = x125 + x124 + x122 + x120 + x117 + x115 + x114 + x113 + x112 + x110 + x109 + x107 + x105 + x103 + x102 + x101 + x100 + x99 + x98 + x97 + x96 + x94 + x92 + x90 + x88 + x87 + x86 + x85 + x83 + x82 + x77 + x71 + x68 + x66 + x62 + x60 + x59 + x53 + x52 + x51 + x47 + x46 + x45 + x43 + x40 + x39 + x38 + x37 + x35 + x34 + x32 + x30 + x27 + x25 + x24 + x23 + x21 + x20 + x17 + x15 + x13 + x12 + x10 + x8 + x6 + x4 + x3
nv1 = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
nv1 = 0x0000000000000000000000000000000000000000000000000000000000000001
nv1 = 1
Add f to list of known factors (kf)
kfo = b01100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001
kfo = 0x65ee6bda0b324559661859ebf3268b49
kfo = x126 + x125 + x122 + x120 + x119 + x118 + x117 + x115 + x114 + x113 + x110 + x109 + x107 + x105 + x104 + x103 + x102 + x100 + x99 + x97 + x91 + x89 + x88 + x85 + x84 + x81 + x78 + x74 + x72 + x70 + x68 + x67 + x64 + x62 + x61 + x58 + x57 + x52 + x51 + x46 + x44 + x43 + x40 + x39 + x38 + x37 + x35 + x33 + x32 + x31 + x30 + x29 + x28 + x25 + x24 + x21 + x18 + x17 + x15 + x11 + x9 + x8 + x6 + x3 + 1
For each null basis vector (excluding trivial 1), find known factor (kf) which can be factored.
nv0 = b00110101001011110110101011111111010101011110110000100000100101000101100000111000111010011110110101001011101100101011010101011000
nv0 = 0x352f6aff55ec20945838e9ed4bb2b558
nv0 = x125 + x124 + x122 + x120 + x117 + x115 + x114 + x113 + x112 + x110 + x109 + x107 + x105 + x103 + x102 + x101 + x100 + x99 + x98 + x97 + x96 + x94 + x92 + x90 + x88 + x87 + x86 + x85 + x83 + x82 + x77 + x71 + x68 + x66 + x62 + x60 + x59 + x53 + x52 + x51 + x47 + x46 + x45 + x43 + x40 + x39 + x38 + x37 + x35 + x34 + x32 + x30 + x27 + x25 + x24 + x23 + x21 + x20 + x17 + x15 + x13 + x12 + x10 + x8 + x6 + x4 + x3
New factor (nf) = f/gcd(f,nv0)nf = b00000000000000000000000000000000000000000000000000000000000000001101111001110000111011101111011111000001100011111011011110011011
nf = 0x0000000000000000de70eef7c18fb79b
nf = x63 + x62 + x60 + x59 + x58 + x57 + x54 + x53 + x52 + x47 + x46 + x45 + x43 + x42 + x41 + x39 + x38 + x37 + x36 + x34 + x33 + x32 + x31 + x30 + x24 + x23 + x19 + x18 + x17 + x16 + x15 + x13 + x12 + x10 + x9 + x8 + x7 + x4 + x3 + x + 1
Search though known factors (kf) for which (nf) factors evenly
kf0 = b01100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001
kf0 = 0x65ee6bda0b324559661859ebf3268b49
kf0 = x126 + x125 + x122 + x120 + x119 + x118 + x117 + x115 + x114 + x113 + x110 + x109 + x107 + x105 + x104 + x103 + x102 + x100 + x99 + x97 + x91 + x89 + x88 + x85 + x84 + x81 + x78 + x74 + x72 + x70 + x68 + x67 + x64 + x62 + x61 + x58 + x57 + x52 + x51 + x46 + x44 + x43 + x40 + x39 + x38 + x37 + x35 + x33 + x32 + x31 + x30 + x29 + x28 + x25 + x24 + x21 + x18 + x17 + x15 + x11 + x9 + x8 + x6 + x3 + 1
t = kf0/nftremainder = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
tremainder = 0x00000000000000000000000000000000
tremainder = 0
t
remainder == 0, nf is a factor of kf
0kf0 = nf // Replace kf0 with nf
kf1 = tquotient // Append tquotient to known factors list
tquotient = b00000000000000000000000000000000000000000000000000000000000000001001101010111010011010001110111100001100111101011100001010111111
tquotient = 0x00000000000000009aba68ef0cf5c2bf
tquotient = x63 + x60 + x59 + x57 + x55 + x53 + x52 + x51 + x49 + x46 + x45 + x43 + x39 + x38 + x37 + x35 + x34 + x33 + x32 + x27 + x26 + x23 + x22 + x21 + x20 + x18 + x16 + x15 + x14 + x9 + x7 + x5 + x4 + x3 + x2 + x + 1
Known factors:
kf0 = b00000000000000000000000000000000000000000000000000000000000000001101111001110000111011101111011111000001100011111011011110011011
kf0 = 0x0000000000000000de70eef7c18fb79b
kf0 = x63 + x62 + x60 + x59 + x58 + x57 + x54 + x53 + x52 + x47 + x46 + x45 + x43 + x42 + x41 + x39 + x38 + x37 + x36 + x34 + x33 + x32 + x31 + x30 + x24 + x23 + x19 + x18 + x17 + x16 + x15 + x13 + x12 + x10 + x9 + x8 + x7 + x4 + x3 + x + 1
kf1 = b00000000000000000000000000000000000000000000000000000000000000001001101010111010011010001110111100001100111101011100001010111111
kf1 = 0x00000000000000009aba68ef0cf5c2bf
kf1 = x63 + x60 + x59 + x57 + x55 + x53 + x52 + x51 + x49 + x46 + x45 + x43 + x39 + x38 + x37 + x35 + x34 + x33 + x32 + x27 + x26 + x23 + x22 + x21 + x20 + x18 + x16 + x15 + x14 + x9 + x7 + x5 + x4 + x3 + x2 + x + 1
Current factorization of f:
f = (b1101111001110000111011101111011111000001100011111011011110011011)(b1001101010111010011010001110111100001100111101011100001010111111)
f = (0xde70eef7c18fb79b)(0x9aba68efcf5c2bf)
f = (x63 + x62 + x60 + x59 + x58 + x57 + x54 + x53 + x52 + x47 + x46 + x45 + x43 + x42 + x41 + x39 + x38 + x37 + x36 + x34 + x33 + x32 + x31 + x30 + x24 + x23 + x19 + x18 + x17 + x16 + x15 + x13 + x12 + x10 + x9 + x8 + x7 + x4 + x3 + x + 1)(x63 + x60 + x59 + x57 + x55 + x53 + x52 + x51 + x49 + x46 + x45 + x43 + x39 + x38 + x37 + x35 + x34 + x33 + x32 + x27 + x26 + x23 + x22 + x21 + x20 + x18 + x16 + x15 + x14 + x9 + x7 + x5 + x4 + x3 + x2 + x + 1)
See also: