version 1.1.1.1, 2001/10/02 11:17:13 |
version 1.2, 2002/09/11 07:27:12 |
Line 11 z^3 + 7*z^2 + 16*z - 19 |
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Line 11 z^3 + 7*z^2 + 16*z - 19 |
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z^2 - 5*z - 2 |
z^2 - 5*z - 2 |
? charpoly(Mod(1,8191)*[1,2;3,4],z,2) |
? charpoly(Mod(1,8191)*[1,2;3,4],z,2) |
z^2 + Mod(8186, 8191)*z + Mod(8189, 8191) |
z^2 + Mod(8186, 8191)*z + Mod(8189, 8191) |
? lindep(Mod(1,7)*[2,-1;1,3],-1) |
? lindep(Mod(1,7)*[2,-1;1,3],-2) |
[Mod(6, 7), Mod(5, 7)]~ |
[Mod(6, 7), Mod(5, 7)]~ |
? lindep([(1-3*sqrt(2))/(3-2*sqrt(3)),1,sqrt(2),sqrt(3),sqrt(6)]) |
? lindep([(1-3*sqrt(2))/(3-2*sqrt(3)),1,sqrt(2),sqrt(3),sqrt(6)]) |
[-3, -3, 9, -2, 6] |
[3, 3, -9, 2, -6]~ |
? lindep([(1-3*sqrt(2))/(3-2*sqrt(3)),1,sqrt(2),sqrt(3),sqrt(6)],14) |
? lindep([(1-3*sqrt(2))/(3-2*sqrt(3)),1,sqrt(2),sqrt(3),sqrt(6)],14) |
[-3, -3, 9, -2, 6] |
[-3, -3, 9, -2, 6] |
? matadjoint([1,2;3,4]) |
? matadjoint([1,2;3,4]) |
Line 286 z^2 + Mod(8186, 8191)*z + Mod(8189, 8191) |
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Line 286 z^2 + Mod(8186, 8191)*z + Mod(8189, 8191) |
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[0 1 -1] |
[0 1 -1] |
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? matkerint(matrix(4,6,x,y,2520/(x+y)),2) |
? matkerint(matrix(4,6,x,y,2520/(x+y))) |
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[3 1] |
[-3 -1] |
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[-30 -15] |
[30 15] |
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[70 70] |
[-70 -70] |
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[0 -140] |
[0 140] |
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[-126 126] |
[126 -126] |
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[84 -42] |
[-84 42] |
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? matmuldiagonal(amat,[1,2,3,4,5,6,7]) |
? matmuldiagonal(amat,[1,2,3,4,5,6,7]) |
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Line 497 z^2 + Mod(8186, 8191)*z + Mod(8189, 8191) |
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Line 497 z^2 + Mod(8186, 8191)*z + Mod(8189, 8191) |
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? qflll(m) |
? qflll(m) |
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[-420 -420 840 630 -1092 -83 2562] |
[-420 -420 840 630 -1092 -83 2982] |
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[-210 -280 630 504 -876 70 2205] |
[-210 -280 630 504 -876 70 2415] |
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[-140 -210 504 420 -749 137 1910] |
[-140 -210 504 420 -749 137 2050] |
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[-105 -168 420 360 -658 169 1680] |
[-105 -168 420 360 -658 169 1785] |
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[-84 -140 360 315 -588 184 1498] |
[-84 -140 360 315 -588 184 1582] |
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[-70 -120 315 280 -532 190 1351] |
[-70 -120 315 280 -532 190 1421] |
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[-60 -105 280 252 -486 191 1230] |
[-60 -105 280 252 -486 191 1290] |
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? qflll(m,7) |
? qflll(m,7) |
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*** invalid flag in qflll. |
[-420 -420 840 630 -1092 -83 2562] |
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[-210 -280 630 504 -876 70 2205] |
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[-140 -210 504 420 -749 137 1910] |
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[-105 -168 420 360 -658 169 1680] |
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[-84 -140 360 315 -588 184 1498] |
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[-70 -120 315 280 -532 190 1351] |
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[-60 -105 280 252 -486 191 1230] |
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? qflllgram(m) |
? qflllgram(m) |
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[1 1 27 -27 69 0 141] |
[1 1 27 -27 69 0 141] |
Line 544 z^2 + Mod(8186, 8191)*z + Mod(8189, 8191) |
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Line 530 z^2 + Mod(8186, 8191)*z + Mod(8189, 8191) |
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[0 1 3 -17 3 -7 3] |
[0 1 3 -17 3 -7 3] |
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? qflllgram(m,7) |
? qflllgram(m,7) |
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*** invalid flag in qflllgram. |
[1 1 27 -27 69 0 141] |
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[0 1 4 -22 34 -24 49] |
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[0 1 3 -21 18 -24 23] |
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[0 1 3 -20 10 -19 13] |
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[0 1 3 -19 6 -14 8] |
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[0 1 3 -18 4 -10 5] |
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[0 1 3 -17 3 -7 3] |
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? qflllgram(m,1) |
? qflllgram(m,1) |
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[1 1 27 -27 69 0 141] |
[1 1 27 -27 69 0 141] |
Line 629 z^2 + Mod(8186, 8191)*z + Mod(8189, 8191) |
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Line 601 z^2 + Mod(8186, 8191)*z + Mod(8189, 8191) |
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0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0 |
0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0 |
; 1, 0, 0, 0, 0, 0, 0; 0, 1, 0, 0, 0, 0, 0; 0, 0, 1, 0, 0, 0, 0; 0, 0, 0, 1, |
; 1, 0, 0, 0, 0, 0, 0; 0, 1, 0, 0, 0, 0, 0; 0, 0, 1, 0, 0, 0, 0; 0, 0, 0, 1, |
0, 0, 0; 0, 0, 0, 0, 1, 0, 0; 0, 0, 0, 0, 0, 1, 0; 0, 0, 0, 0, 0, 0, 1]] |
0, 0, 0; 0, 0, 0, 0, 1, 0, 0; 0, 0, 0, 0, 0, 1, 0; 0, 0, 0, 0, 0, 0, 1]] |
? qflll(m,3) |
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[-420 -420 840 630 -1092 -83 2982] |
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[-210 -280 630 504 -876 70 2415] |
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[-140 -210 504 420 -749 137 2050] |
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[-105 -168 420 360 -658 169 1785] |
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[-84 -140 360 315 -588 184 1582] |
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[-70 -120 315 280 -532 190 1421] |
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[-60 -105 280 252 -486 191 1290] |
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? qfminim([2,1;1,2],4,6) |
? qfminim([2,1;1,2],4,6) |
[6, 2, [0, -1, 1; 1, 1, 0]] |
[6, 2, [0, -1, 1; 1, 1, 0]] |
? qfperfection([2,0,1;0,2,1;1,1,2]) |
? qfperfection([2,0,1;0,2,1;1,1,2]) |
Line 773 z^2 + Mod(8186, 8191)*z + Mod(8189, 8191) |
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Line 729 z^2 + Mod(8186, 8191)*z + Mod(8189, 8191) |
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[[4, 13, 3, 17, 14]~ [14, 16, 11, 5, 4]~ [9, 11, 13, 7, 15]~] |
[[4, 13, 3, 17, 14]~ [14, 16, 11, 5, 4]~ [9, 11, 13, 7, 15]~] |
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? getheap |
? getheap |
[111, 12057] |
[109, 11426] |
? print("Total time spent: ",gettime); |
? print("Total time spent: ",gettime); |
Total time spent: 143 |
Total time spent: 138 |
? \q |
? \q |