2.3.132 Problems 13101 to 13200

Table 2.847: Main lookup table. Sorted by time used to solve.

#

ID

ODE

Solved?

Maple

Mma

Sympy

time(sec)

13101

6033

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d^{2}}{d t^{2}}x \left (t \right )-\frac {d}{d t}x \left (t \right )+\frac {d}{d t}y \left (t \right )&=0\\ \frac {d^{2}}{d t^{2}}x \left (t \right )+\frac {d^{2}}{d t^{2}}y \left (t \right )-x \left (t \right )&=0\\ \end {array} \]

1.664

13102

10431

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=2 x \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=3 x \left (t \right )-2 y \left (t \right )\\ \frac {d}{d t}z \left (t \right )&=2 y \left (t \right )+3 z \left (t \right )\\ \end {array} \]

1.664

13103

13298

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=4 x \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=x \left (t \right )-2 y \left (t \right )\\ \frac {d}{d t}z \left (t \right )&=x \left (t \right )-4 y \left (t \right )+z \left (t \right )\\ \end {array} \]

1.664

13104

16383

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=y \left (t \right )-z \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=x \left (t \right )+y \left (t \right )\\ \frac {d}{d t}z \left (t \right )&=x \left (t \right )+z \left (t \right )\\ \end {array} \]

1.664

13105

24720

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )-y \left (t \right )+z \left (t \right )&=0\\ -x \left (t \right )+\frac {d}{d t}y \left (t \right )-y \left (t \right )&=t\\ \frac {d}{d t}z \left (t \right )-x \left (t \right )-z \left (t \right )&=t\\ \end {array} \]

1.664

13106

3253

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} a x^{\prime }&=b c \left (y \left (t \right )-z \left (t \right )\right )\\ b y^{\prime }\left (t \right )&=c a \left (z \left (t \right )-x\right )\\ c z^{\prime }\left (t \right )&=a b \left (x-y \left (t \right )\right )\\ \end {array} \]

1.665

13107

17726

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=c y \left (t \right )-b z \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=a z \left (t \right )-c x \left (t \right )\\ \frac {d}{d t}z \left (t \right )&=b x \left (t \right )-a y \left (t \right )\\ \end {array} \]

1.666

13108

18239

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=x \left (t \right )+y \left (t \right )-z \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=y \left (t \right )+z \left (t \right )-x \left (t \right )\\ \frac {d}{d t}z \left (t \right )&=x \left (t \right )-y \left (t \right )+z \left (t \right )\\ \end {array} \]

1.666

13109

18290

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=-3 x \left (t \right )+48 y \left (t \right )-28 z \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=-4 x \left (t \right )+40 y \left (t \right )-22 z \left (t \right )\\ \frac {d}{d t}z \left (t \right )&=-6 x \left (t \right )+57 y \left (t \right )-31 z \left (t \right )\\ \end {array} \]

1.666

13110

20590

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=6 x \left (t \right )-72 y \left (t \right )+44 z \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=4 x \left (t \right )-4 y \left (t \right )+26 z \left (t \right )\\ \frac {d}{d t}z \left (t \right )&=6 x \left (t \right )-63 y \left (t \right )+38 z \left (t \right )\\ \end {array} \]

1.666

13111

21295

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=a x+g y+\beta z \left (t \right )\\ y^{\prime }&=g x+b y+\alpha z \left (t \right )\\ z^{\prime }\left (t \right )&=\beta x+\alpha y+c z \left (t \right )\\ \end {array} \]

1.667

13112

24765

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} t \left (\frac {d}{d t}x \left (t \right )\right )&=2 x \left (t \right )-t\\ t^{3} \left (\frac {d}{d t}y \left (t \right )\right )&=-x \left (t \right )+t^{2} y \left (t \right )+t\\ t^{4} \left (\frac {d}{d t}z \left (t \right )\right )&=-x \left (t \right )-t^{2} y \left (t \right )+t^{3} z \left (t \right )+t\\ \end {array} \]

1.668

13113

1682

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} a t \left (\frac {d}{d t}x \left (t \right )\right )&=b c \left (y \left (t \right )-z \left (t \right )\right )\\ b t \left (\frac {d}{d t}y \left (t \right )\right )&=c a \left (z \left (t \right )-x \left (t \right )\right )\\ c t \left (\frac {d}{d t}z \left (t \right )\right )&=a b \left (x \left (t \right )-y \left (t \right )\right )\\ \end {array} \]

1.669

13114

23285

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=a x_{2} \left (t \right )+b x_{3} \left (t \right ) \cos \left (c t \right )+b x_{4} \left (t \right ) \sin \left (c t \right )\\ \frac {d}{d t}x_{2} \left (t \right )&=-a x_{1} \left (t \right )+b x_{3} \left (t \right ) \sin \left (c t \right )-b x_{4} \left (t \right ) \cos \left (c t \right )\\ \frac {d}{d t}x_{3} \left (t \right )&=-b x_{1} \left (t \right ) \cos \left (c t \right )-b x_{2} \left (t \right ) \sin \left (c t \right )+a x_{4} \left (t \right )\\ \frac {d}{d t}x_{4} \left (t \right )&=-b x_{1} \left (t \right ) \sin \left (c t \right )+b x_{2} \left (t \right ) \cos \left (c t \right )-a x_{3} \left (t \right )\\ \end {array} \]

1.669

13115

24749

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=-x \left (t \right ) \left (x \left (t \right )+y \left (t \right )\right )\\ \frac {d}{d t}y \left (t \right )&=y \left (t \right ) \left (x \left (t \right )+y \left (t \right )\right )\\ \end {array} \]

1.669

13116

5731

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=\left (a y \left (t \right )+b \right ) x \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=\left (c x \left (t \right )+d \right ) y \left (t \right )\\ \end {array} \]

1.671

13117

9612

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }\left (t \right )&=x \left (t \right ) \left (a \left (p x \left (t \right )+q y\right )+\alpha \right )\\ y^{\prime }&=y \left (\beta +b \left (p x \left (t \right )+q y\right )\right )\\ \end {array} \]

1.671

13118

22052

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=h \left (a -x \left (t \right )\right ) \left (c -x \left (t \right )-y \left (t \right )\right )\\ \frac {d}{d t}y \left (t \right )&=k \left (b -y \left (t \right )\right ) \left (c -x \left (t \right )-y \left (t \right )\right )\\ \end {array} \]

1.671

13119

920

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=y \left (t \right )^{2}-\cos \left (x\right )\\ y^{\prime }\left (t \right )&=-y \left (t \right ) \sin \left (x\right )\\ \end {array} \]

1.672

13120

9455

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }\left (t \right )&=-x \left (t \right ) y^{2}+x \left (t \right )+y\\ y^{\prime }&=y x \left (t \right )^{2}-x \left (t \right )-y\\ \end {array} \]

1.672

13121

23467

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=x \left (t \right )+y \left (t \right )-x \left (t \right ) \left (x \left (t \right )^{2}+y \left (t \right )^{2}\right )\\ \frac {d}{d t}y \left (t \right )&=-x \left (t \right )+y \left (t \right )-y \left (t \right ) \left (x \left (t \right )^{2}+y \left (t \right )^{2}\right )\\ \end {array} \]

1.672

13122

23681

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=-y \left (t \right )+x \left (t \right ) \left (x \left (t \right )^{2}+y \left (t \right )^{2}-1\right )\\ \frac {d}{d t}y \left (t \right )&=x \left (t \right )+y \left (t \right ) \left (x \left (t \right )^{2}+y \left (t \right )^{2}-1\right )\\ \end {array} \]

1.672

13123

24709

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (t^{2}+1\right ) \left (\frac {d}{d t}x \left (t \right )\right )&=-t x \left (t \right )+y \left (t \right )\\ \left (t^{2}+1\right ) \left (\frac {d}{d t}y \left (t \right )\right )&=-x \left (t \right )-t y \left (t \right )\\ \end {array} \]

1.672

13124

24726

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x \left (t \right )^{2}+y \left (t \right )^{2}-t^{2}\right ) \left (\frac {d}{d t}x \left (t \right )\right )&=-2 t x \left (t \right )\\ \left (x \left (t \right )^{2}+y \left (t \right )^{2}-t^{2}\right ) \left (\frac {d}{d t}y \left (t \right )\right )&=-2 t y \left (t \right )\\ \end {array} \]

1.673

13125

26656

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (\frac {d}{d t}x \left (t \right )\right )^{2}+t \left (\frac {d}{d t}x \left (t \right )\right )+a \left (\frac {d}{d t}y \left (t \right )\right )-x \left (t \right )&=0\\ \left (\frac {d}{d t}x \left (t \right )\right ) \left (\frac {d}{d t}y \left (t \right )\right )+\left (\frac {d}{d t}y \left (t \right )\right ) t -y \left (t \right )&=0\\ \end {array} \]

1.673

13126

27364

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (t \right )&=t \left (\frac {d}{d t}x \left (t \right )\right )+f \left (\frac {d}{d t}x \left (t \right ), \frac {d}{d t}y \left (t \right )\right )\\ y \left (t \right )&=\left (\frac {d}{d t}y \left (t \right )\right ) t +g \left (\frac {d}{d t}x \left (t \right ), \frac {d}{d t}y \left (t \right )\right )\\ \end {array} \]

1.673

13127

2628

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }\left (t \right )&=a \,{\mathrm e}^{2 x \left (t \right )}-{\mathrm e}^{-x \left (t \right )}+{\mathrm e}^{-2 x \left (t \right )} \cos \left (y\right )^{2}\\ y^{\prime \prime }&={\mathrm e}^{-2 x \left (t \right )} \sin \left (y\right ) \cos \left (y\right )-\frac {\sin \left (y\right )}{\cos \left (y\right )^{3}}\\ \end {array} \]

1.674

13128

14847

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d^{2}}{d t^{2}}x \left (t \right )&=\frac {k x \left (t \right )}{\left (x \left (t \right )^{2}+y \left (t \right )^{2}\right )^{{3}/{2}}}\\ \frac {d^{2}}{d t^{2}}y \left (t \right )&=\frac {k y \left (t \right )}{\left (x \left (t \right )^{2}+y \left (t \right )^{2}\right )^{{3}/{2}}}\\ \end {array} \]

1.674

13129

19791

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=y \left (t \right )-z \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=x \left (t \right )^{2}+y \left (t \right )\\ \frac {d}{d t}z \left (t \right )&=x \left (t \right )^{2}+z \left (t \right )\\ \end {array} \]

1.674

13130

24733

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} a \left (\frac {d}{d t}x \left (t \right )\right )&=\left (b -c \right ) y \left (t \right ) z \left (t \right )\\ b \left (\frac {d}{d t}y \left (t \right )\right )&=\left (c -a \right ) z \left (t \right ) x \left (t \right )\\ c \left (\frac {d}{d t}z \left (t \right )\right )&=\left (a -b \right ) x \left (t \right ) y \left (t \right )\\ \end {array} \]

1.674

13131

1976

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=x \left (t \right ) \left (y \left (t \right )-z \left (t \right )\right )\\ \frac {d}{d t}y \left (t \right )&=y \left (t \right ) \left (z \left (t \right )-x \left (t \right )\right )\\ \frac {d}{d t}z \left (t \right )&=z \left (t \right ) \left (x \left (t \right )-y \left (t \right )\right )\\ \end {array} \]

1.675

13132

26600

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )+\frac {d}{d t}y \left (t \right )&=x \left (t \right ) y \left (t \right )\\ \frac {d}{d t}y \left (t \right )+\frac {d}{d t}z \left (t \right )&=y \left (t \right ) z \left (t \right )\\ \frac {d}{d t}x \left (t \right )+\frac {d}{d t}z \left (t \right )&=x \left (t \right ) z \left (t \right )\\ \end {array} \]

1.675

13133

6581

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=\frac {x \left (t \right )^{2}}{2}-\frac {y \left (t \right )}{24}\\ \frac {d}{d t}y \left (t \right )&=2 x \left (t \right ) y \left (t \right )-3 z \left (t \right )\\ \frac {d}{d t}z \left (t \right )&=3 x \left (t \right ) z \left (t \right )-\frac {y \left (t \right )^{2}}{6}\\ \end {array} \]

1.676

13134

12685

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=x \left (t \right ) \left (y \left (t \right )^{2}-z \left (t \right )^{2}\right )\\ \frac {d}{d t}y \left (t \right )&=y \left (t \right ) \left (z \left (t \right )^{2}-x \left (t \right )^{2}\right )\\ \frac {d}{d t}z \left (t \right )&=z \left (t \right ) \left (x \left (t \right )^{2}-y \left (t \right )^{2}\right )\\ \end {array} \]

1.676

13135

19887

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=x \left (t \right ) \left (y \left (t \right )^{2}-z \left (t \right )^{2}\right )\\ \frac {d}{d t}y \left (t \right )&=-y \left (t \right ) \left (z \left (t \right )^{2}+x \left (t \right )^{2}\right )\\ \frac {d}{d t}z \left (t \right )&=z \left (t \right ) \left (x \left (t \right )^{2}+y \left (t \right )^{2}\right )\\ \end {array} \]

1.676

13136

20409

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=-x \left (t \right ) y \left (t \right )^{2}+x \left (t \right )+y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=y \left (t \right ) x \left (t \right )^{2}-x \left (t \right )-y \left (t \right )\\ \frac {d}{d t}z \left (t \right )&=y \left (t \right )^{2}-x \left (t \right )^{2}\\ \end {array} \]

1.676

13137

28183

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x \left (t \right )-y \left (t \right )\right ) \left (x \left (t \right )-z \left (t \right )\right ) \left (\frac {d}{d t}x \left (t \right )\right )&=f \left (t \right )\\ \left (-x \left (t \right )+y \left (t \right )\right ) \left (y \left (t \right )-z \left (t \right )\right ) \left (\frac {d}{d t}y \left (t \right )\right )&=f \left (t \right )\\ \left (z \left (t \right )-x \left (t \right )\right ) \left (z \left (t \right )-y \left (t \right )\right ) \left (\frac {d}{d t}z \left (t \right )\right )&=f \left (t \right )\\ \end {array} \]

1.676

13138

8519

\(\left [\begin {array}{cc} 4 & -2 \\ 1 & 1 \end {array}\right ]\)

1.677

13139

16612

\(\left [\begin {array}{cc} 5 & -6 \\ 3 & -4 \end {array}\right ]\)

1.677

13140

17858

\(\left [\begin {array}{cc} 8 & -6 \\ 3 & -1 \end {array}\right ]\)

1.677

13141

19159

\(\left [\begin {array}{cc} 4 & -3 \\ 2 & -1 \end {array}\right ]\)

1.677

13142

19744

\(\left [\begin {array}{cc} 10 & -9 \\ 6 & -5 \end {array}\right ]\)

1.677

13143

6157

\(\left [\begin {array}{cc} 6 & -4 \\ 3 & -1 \end {array}\right ]\)

1.678

13144

8053

\(\left [\begin {array}{cc} 10 & -8 \\ 6 & -4 \end {array}\right ]\)

1.678

13145

16923

\(\left [\begin {array}{cc} 7 & -6 \\ 12 & -10 \end {array}\right ]\)

1.678

13146

24728

\(\left [\begin {array}{cc} 8 & -10 \\ 2 & -1 \end {array}\right ]\)

1.678

13147

3057

\(\left [\begin {array}{cc} 9 & -10 \\ 2 & 0 \end {array}\right ]\)

1.680

13148

6039

\(\left [\begin {array}{cc} 19 & -10 \\ 21 & -10 \end {array}\right ]\)

1.680

13149

20560

\(\left [\begin {array}{cc} 13 & -15 \\ 6 & -6 \end {array}\right ]\)

1.680

13150

26645

\(\left [\begin {array}{ccc} 2 & 0 & 0 \\ 2 & -2 & -1 \\ -2 & 6 & 3 \end {array}\right ]\)

1.680

13151

20861

\(\left [\begin {array}{ccc} 5 & 0 & 0 \\ 4 & -4 & -2 \\ -2 & 12 & 6 \end {array}\right ]\)

1.681

13152

24565

\(\left [\begin {array}{ccc} 2 & -2 & 0 \\ 2 & -2 & -1 \\ -2 & 2 & 3 \end {array}\right ]\)

1.681

13153

8592

\(\left [\begin {array}{ccc} 1 & 0 & -1 \\ -2 & 3 & -1 \\ -6 & 6 & 0 \end {array}\right ]\)

1.682

13154

2606

\(\left [\begin {array}{ccc} 3 & 5 & -2 \\ 0 & 2 & 0 \\ 0 & 2 & 1 \end {array}\right ]\)

1.683

13155

5521

\(\left [\begin {array}{ccc} 1 & 0 & 0 \\ -6 & 8 & 2 \\ 12 & -15 & -3 \end {array}\right ]\)

1.683

13156

10369

\(\left [\begin {array}{ccc} 3 & 6 & -2 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end {array}\right ]\)

1.683

13157

12998

\(\left [\begin {array}{ccc} 1 & 0 & 0 \\ -4 & 7 & 2 \\ 10 & -15 & -4 \end {array}\right ]\)

1.683

13158

24742

\(\left [\begin {array}{ccc} 4 & -3 & 1 \\ 2 & -1 & 1 \\ 0 & 0 & 2 \end {array}\right ]\)

1.683

13159

7323

\(\left [\begin {array}{ccc} 5 & -6 & 3 \\ 6 & -7 & 3 \\ 6 & -6 & 2 \end {array}\right ]\)

1.684

13160

8096

\(\left [\begin {array}{cccc} 1 & 2 & 2 & 2 \\ 0 & 2 & 2 & 2 \\ 0 & 0 & 3 & 2 \\ 0 & 0 & 0 & 4 \end {array}\right ]\)

1.684

13161

23751

\(\left [\begin {array}{cccc} 1 & 0 & 4 & 0 \\ 0 & 1 & 4 & 0 \\ 0 & 0 & 3 & 0 \\ 0 & 0 & 0 & 3 \end {array}\right ]\)

1.684

13162

1957

\(\left [\begin {array}{cccc} 1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 0 \\ 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 2 \end {array}\right ]\)

1.685

13163

21265

\(\left [\begin {array}{cccc} 4 & 0 & 0 & -3 \\ 0 & 2 & 0 & 0 \\ 0 & 0 & -1 & 0 \\ 6 & 0 & 0 & -5 \end {array}\right ]\)

1.685

13164

24570

\(\left [\begin {array}{cc} 0 & 1 \\ -1 & 0 \end {array}\right ]\)

1.685

13165

19056

\(\left [\begin {array}{cc} 0 & -6 \\ 6 & 0 \end {array}\right ]\)

1.686

13166

22630

\(\left [\begin {array}{cc} 0 & -3 \\ 12 & 0 \end {array}\right ]\)

1.686

13167

1989

\(\left [\begin {array}{cc} 0 & -12 \\ 12 & 0 \end {array}\right ]\)

1.687

13168

9639

\(\left [\begin {array}{cc} 0 & 24 \\ -6 & 0 \end {array}\right ]\)

1.687

13169

9765

\(\left [\begin {array}{cc} 0 & -4 \\ 36 & 0 \end {array}\right ]\)

1.687

13170

2057

\(\left [\begin {array}{ccc} 32 & -67 & 47 \\ 7 & -14 & 13 \\ -7 & 15 & -6 \end {array}\right ]\)

1.688

13171

17607

\(\left [\begin {array}{cccc} 22 & -9 & -8 & -8 \\ 10 & -7 & -14 & 2 \\ 10 & 0 & 8 & -10 \\ 29 & -9 & -3 & -15 \end {array}\right ]\)

1.688

13172

23732

\(\left [\begin {array}{cc} 5 & -4 \\ 2 & -1 \end {array}\right ]\)

1.688

13173

26507

\(\left [\begin {array}{cc} 6 & -6 \\ 4 & -4 \end {array}\right ]\)

1.688

13174

5413

\(\left [\begin {array}{cc} 5 & -3 \\ 2 & 0 \end {array}\right ]\)

1.690

13175

14701

\(\left [\begin {array}{cc} 5 & -4 \\ 3 & -2 \end {array}\right ]\)

1.690

13176

16654

\(\left [\begin {array}{cc} 9 & -8 \\ 6 & -5 \end {array}\right ]\)

1.690

13177

1996

\(\left [\begin {array}{cc} 10 & -6 \\ 12 & -7 \end {array}\right ]\)

1.691

13178

5520

\(\left [\begin {array}{cc} 6 & -10 \\ 2 & -3 \end {array}\right ]\)

1.691

13179

8040

\(\left [\begin {array}{cc} 11 & -15 \\ 6 & -8 \end {array}\right ]\)

1.691

13180

2284

\(\left [\begin {array}{cc} -1 & 4 \\ -1 & 3 \end {array}\right ]\)

1.692

13181

11787

\(\left [\begin {array}{cc} 3 & -1 \\ 1 & 1 \end {array}\right ]\)

1.692

13182

21993

\(\left [\begin {array}{cc} 5 & 1 \\ -9 & -1 \end {array}\right ]\)

1.692

13183

4767

\(\left [\begin {array}{cc} 11 & 9 \\ -16 & -13 \end {array}\right ]\)

1.693

13184

25433

\(\left [\begin {array}{ccc} 1 & 3 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 2 \end {array}\right ]\)

1.693

13185

6493

\(\left [\begin {array}{ccc} 2 & -2 & 1 \\ 2 & -2 & 1 \\ 2 & -2 & 1 \end {array}\right ]\)

1.694

13186

9526

\(\left [\begin {array}{ccc} 3 & -3 & 1 \\ 2 & -2 & 1 \\ 0 & 0 & 1 \end {array}\right ]\)

1.694

13187

13741

\(\left [\begin {array}{ccc} 3 & -2 & 0 \\ 0 & 1 & 0 \\ -4 & 4 & 1 \end {array}\right ]\)

1.694

13188

15025

\(\left [\begin {array}{ccc} 7 & -8 & 3 \\ 6 & -7 & 3 \\ 2 & -2 & 2 \end {array}\right ]\)

1.694

13189

15773

\(\left [\begin {array}{ccc} 6 & -5 & 2 \\ 4 & -3 & 2 \\ 2 & -2 & 3 \end {array}\right ]\)

1.694

13190

17020

\(\left [\begin {array}{ccc} 1 & 1 & -1 \\ -2 & 4 & -1 \\ -4 & 4 & 1 \end {array}\right ]\)

1.694

13191

20431

\(\left [\begin {array}{ccc} 2 & 0 & 0 \\ -6 & 11 & 2 \\ 6 & -15 & 0 \end {array}\right ]\)

1.694

13192

1954

\(\left [\begin {array}{ccc} 0 & 1 & 0 \\ -1 & 2 & 0 \\ -1 & 1 & 1 \end {array}\right ]\)

1.695

13193

2016

\(\left [\begin {array}{ccc} 2 & -2 & 1 \\ -1 & 2 & 0 \\ -5 & 7 & -1 \end {array}\right ]\)

1.695

13194

13413

\(\left [\begin {array}{ccc} -2 & 4 & -1 \\ -3 & 5 & -1 \\ -1 & 1 & 1 \end {array}\right ]\)

1.695

13195

26535

\(\left [\begin {array}{ccc} 3 & -2 & 1 \\ 1 & 0 & 1 \\ -1 & 1 & 2 \end {array}\right ]\)

1.695

13196

1963

\(\left [\begin {array}{cccc} 1 & 0 & -2 & 0 \\ 0 & 1 & -2 & 0 \\ 0 & 0 & -1 & 0 \\ 0 & 0 & 0 & -1 \end {array}\right ]\)

1.696

13197

2635

\(\left [\begin {array}{cccc} 1 & 0 & 0 & 1 \\ 0 & 1 & 0 & 1 \\ 0 & 0 & 1 & 1 \\ 0 & 0 & 0 & 2 \end {array}\right ]\)

1.696

13198

5736

\(\left [\begin {array}{cccc} 1 & 1 & 0 & 0 \\ 0 & 1 & 1 & 1 \\ 0 & 0 & 1 & 1 \\ 0 & 0 & 0 & 2 \end {array}\right ]\)

1.696

13199

2387

\(\left [\begin {array}{cccc} 1 & 1 & 0 & 1 \\ 0 & 1 & 1 & 1 \\ 0 & 0 & 2 & 1 \\ 0 & 0 & 0 & 2 \end {array}\right ]\)

1.697

13200

15048

\(\left [\begin {array}{ccccc} 2 & 1 & 0 & 0 & 0 \\ 0 & 2 & 0 & 0 & 0 \\ 0 & 0 & 2 & 0 & 0 \\ 0 & 0 & 0 & 2 & 1 \\ 0 & 0 & 0 & 0 & 2 \end {array}\right ]\)

1.697