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Updated cached examples #3231

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May 15, 2024
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Original file line number Diff line number Diff line change
Expand Up @@ -300,7 +300,7 @@ i41 : normalElements(sigmaD,2)
o41 = 0

1
o41 : Matrix QQ <--- 0
o41 : Matrix QQ <-- 0

i42 : normalElements(D,2,P,Q)
Normal monomials of degree 2:
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Original file line number Diff line number Diff line change
Expand Up @@ -34,8 +34,8 @@ o5 = | 2 0 0 |
| 1 2 0 |
| 1 2 3 |

3 3
o5 : Matrix QQ <--- QQ
3 3
o5 : Matrix QQ <-- QQ

i6 : L*N

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Original file line number Diff line number Diff line change
Expand Up @@ -34,8 +34,8 @@ o5 = | 2 0 0 |
| 1 2 0 |
| 1 2 3 |

3 3
o5 : Matrix QQ <--- QQ
3 3
o5 : Matrix QQ <-- QQ

i6 : N*L

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Original file line number Diff line number Diff line change
Expand Up @@ -31,8 +31,8 @@ i5 : f_1
o5 = | 0 1 |
| 1 0 |

2 2
o5 : Matrix QQ <--- QQ
2 2
o5 : Matrix QQ <-- QQ

i6 : basis(2,A)

Expand All @@ -48,7 +48,7 @@ o7 = | 0 1 0 0 0 |
| 0 0 0 -1 0 |
| 0 0 1 0 0 |

5 5
o7 : Matrix QQ <--- QQ
5 5
o7 : Matrix QQ <-- QQ

i8 :
4 changes: 2 additions & 2 deletions M2/Macaulay2/packages/NCAlgebra/examples/_coordinates.out
Original file line number Diff line number Diff line change
Expand Up @@ -80,7 +80,7 @@ o13 = | -w+1 |
| -w |
| 0 |

4 1
o13 : Matrix R <--- R
4 1
o13 : Matrix R <-- R

i14 :
Original file line number Diff line number Diff line change
Expand Up @@ -21,8 +21,8 @@ o2 = | 1 0 0 0 0 0 |
| 0 0 0 0 0 1 |
| 0 0 0 0 0 0 |

10 6
o2 : Matrix QQ <--- QQ
10 6
o2 : Matrix QQ <-- QQ

i3 : kernel oo

Expand Down Expand Up @@ -58,16 +58,16 @@ i8 : leftMultiplicationMap(x,1)
o8 = | 1 -1 |
| 0 0 |

2 2
o8 : Matrix QQ <--- QQ
2 2
o8 : Matrix QQ <-- QQ

i9 : M=matrix gens kernel oo

o9 = | 1 |
| 1 |

2 1
o9 : Matrix QQ <--- QQ
2 1
o9 : Matrix QQ <-- QQ

i10 : basis(1,D)*M

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Original file line number Diff line number Diff line change
Expand Up @@ -24,8 +24,8 @@ i4 : matrix f

o4 = | 0 0 a+b a-b |

1 4
o4 : Matrix B <--- B
1 4
o4 : Matrix B <-- B

i5 : g = ncMap(A,A,{x,y,z,w})

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Original file line number Diff line number Diff line change
Expand Up @@ -39,7 +39,7 @@ i6 : normalElements(sigmaC,2)
o6 = 0

1
o6 : Matrix QQ <--- 0
o6 : Matrix QQ <-- 0

i7 : normalElements(sigmaC @@ sigmaC,2)

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Original file line number Diff line number Diff line change
Expand Up @@ -12,8 +12,8 @@ o2 = | 1 q q |
| -q3-q2-q-1 1 1 |
| -q3-q2-q-1 1 1 |

3 3
o2 : Matrix R <--- R
3 3
o2 : Matrix R <-- R

i3 : B = skewPolynomialRing(R,M,{x,y,z})

Expand All @@ -32,8 +32,8 @@ o5 = | 1 1 1 1 |
| 1 1 1 1 |
| 1 1 1 1 |

4 4
o5 : Matrix ZZ <--- ZZ
4 4
o5 : Matrix ZZ <-- ZZ

i6 : C = skewPolynomialRing(QQ,promote(N,QQ), {a,b,c,d})
--Calling Bergman for NCGB calculation.
Expand Down
12 changes: 6 additions & 6 deletions M2/Macaulay2/packages/NCAlgebra/examples/_sparse__Coeffs.out
Original file line number Diff line number Diff line change
Expand Up @@ -19,8 +19,8 @@ o3 = | 1 |
| 1 |
| 1 |

8 1
o3 : Matrix QQ <--- QQ
8 1
o3 : Matrix QQ <-- QQ

i4 : bas = flatten entries basis(2,A);

Expand Down Expand Up @@ -95,8 +95,8 @@ o6 = | 1 |
| 0 |
| 1 |

64 1
o6 : Matrix QQ <--- QQ
64 1
o6 : Matrix QQ <-- QQ

i7 : sparseCoeffs(toList (10:F),Monomials=>bas)

Expand Down Expand Up @@ -165,7 +165,7 @@ o7 = | 1 1 1 1 1 1 1 1 1 1 |
| 0 0 0 0 0 0 0 0 0 0 |
| 1 1 1 1 1 1 1 1 1 1 |

64 10
o7 : Matrix QQ <--- QQ
64 10
o7 : Matrix QQ <-- QQ

i8 :
Original file line number Diff line number Diff line change
Expand Up @@ -6,8 +6,8 @@ i2 : n := 6;

i3 : m := matrix{{3, 2, 4, 6}};

1 4
o3 : Matrix ZZ <--- ZZ
1 4
o3 : Matrix ZZ <-- ZZ

i4 : t := LRtriple(n,m);

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Original file line number Diff line number Diff line change
Expand Up @@ -6,8 +6,8 @@ i2 : n = 7;

i3 : M = matrix{{3, 3, 6, 7},{2, 3, 5, 7}};

2 4
o3 : Matrix ZZ <--- ZZ
2 4
o3 : Matrix ZZ <-- ZZ

i4 : LRrule(n,M)

Expand Down
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