This worksheet lists all the points that can be generated by the Mohr Mascheroni construction using N
circles, for N up to 5. We assume we begin with initial points (1,0) and (-1,0). By symmetry, we need
only list those points in the first quadrant.
Here are the number of points in the first quadrant:
N = 2 circles: 2 points
N = 3 circles: 4 (or 2 new points)
N = 4 circles: 15 (or 11 new points)
N = 5 circles: 315 (or 300 new points)
>
>
> twocircles:= [[1, 0], [0, sqrt(3)]]; nops(%);
twocircles := [ [ 1, 0 ], [ 0, 3 ] ]
2
> threecircles:= [ [1, 0], [0, sqrt(3)], [2, sqrt(3)], [3, 0]];
evalf(%); nops(%);
threecircles := [ [ 1, 0 ], [ 0, 3 ], [ 2, 3 ], [ 3, 0 ] ]
[ [ 1., 0 ], [ 0, 1.732050808 ], [ 2., 1.732050808 ], [ 3., 0 ] ]
4
> fourcircles:= [[1, 0], [0, sqrt(3)], [2, sqrt(3)], [3, 0], [1,
2*sqrt(3)], [1/3*sqrt(33), 2/3*sqrt(3)], [1/2+1/6*sqrt(33),
1/3*sqrt(3)*(1/2+1/2*sqrt(33))], [3, 2*sqrt(3)], [1/2,
1/2*sqrt(15)], [0, 3*sqrt(3)], [1+2/3*sqrt(6),
1/3*sqrt(3)*(2+2*sqrt(6))], [5/2+1/6*sqrt(33),
1/3*sqrt(3)*(1/2+1/2*sqrt(33))], [-1/2+1/6*sqrt(33),
1/3*sqrt(3)*(-1/2+1/2*sqrt(33))], [-1+2/3*sqrt(6),
1/3*sqrt(3)*(-2+2*sqrt(6))], [5/2-1/6*sqrt(33),
-1/3*sqrt(3)*(1/2-1/2*sqrt(33))]]; evalf(%); nops(%);
⎡
⎡1
2
⎤
33 ,
3 ⎥⎥,
fourcircles := ⎢⎢ [ 1, 0 ], [ 0, 3 ], [ 2, 3 ], [ 3, 0 ], [ 1, 2 3 ], ⎢⎢
⎣
⎣3
3
⎦
⎛1 1
⎞⎤
⎡1 1
⎤
⎡1 1
1
⎢⎢ +
33 ,
3 ⎜⎜ +
33 ⎟⎟ ⎥⎥, [ 3, 2 3 ], ⎢⎢ ,
15 ⎥⎥, [ 0, 3 3 ],
⎝2 2
⎠⎦
⎣2 2
⎦
⎣2 6
3
⎡
2
1
⎤ ⎡5 1
1
⎞⎤
⎛1 1
⎢⎢ 1 +
6,
3 ( 2 + 2 6 ) ⎥⎥, ⎢⎢ +
33 ,
3 ⎜⎜ +
33 ⎟⎟ ⎥⎥,
⎣
3
3
⎦ ⎣2 6
3
⎠⎦
⎝2 2
⎡ 1 1
1
⎛ 1 1
⎞⎤ ⎡
2
1
⎤
⎢⎢ − +
33 ,
3 ⎜⎜ − +
33 ⎟⎟ ⎥⎥, ⎢⎢ −1 +
6,
3 ( −2 + 2 6 ) ⎥⎥,
⎣ 2 6
3
⎝ 2 2
⎠⎦ ⎣
3
3
⎦
⎛1 1
⎞⎤⎤
⎡5 1
1
⎢⎢ −
33 , −
3 ⎜⎜ −
33 ⎟⎟ ⎥⎥ ⎥⎥
⎝2 2
⎠⎦⎦
⎣2 6
3
[ [ 1., 0 ], [ 0, 1.732050808 ], [ 2., 1.732050808 ], [ 3., 0 ], [ 1., 3.464101616 ],
[ 1.914854215, 1.154700539 ], [ 1.457427108, 1.946987530 ], [ 3., 3.464101616 ],
[ 0.5000000000, 1.936491673 ], [ 0, 5.196152424 ], [ 2.632993162, 3.983127663 ],
[ 3.457427108, 1.946987530 ], [ 0.4574271080, 1.369637261 ], [ 0.632993162, 1.673726587 ],
[ 1.542572892, 1.369637261 ] ]
15
> fivecircles:= [[1, 0], [0, sqrt(3)], [2, sqrt(3)], [3, 0], [3,
2*sqrt(3)], [1/2, 1/2*sqrt(15)], [0, 3*sqrt(3)], [1+2/3*sqrt(6),
1/3*sqrt(3)*(2+2*sqrt(6))], [-1/2+1/6*sqrt(33),
1/3*sqrt(3)*(-1/2+1/2*sqrt(33))], [18/7, 5/7*sqrt(3)],
[-2+2*sqrt(6), 1/3*sqrt(3)*(-3+2*sqrt(6))], [6/7, 3/7*sqrt(3)],
[-5/4+1/4*sqrt(3)*sqrt(15), 1/4*sqrt(15)+1/4*sqrt(3)],
[3+4/3*sqrt(6), 4/3*sqrt(3)],
[-5/2+sqrt(6)+1/2*sqrt(-87+36*sqrt(6)),
1/3*sqrt(3)*(-9/2+3*sqrt(6)-1/2*sqrt(-87+36*sqrt(6)))],
[5/2-sqrt(6)+1/2*sqrt(-87+36*sqrt(6)),
1/3*sqrt(3)*(-9/2+3*sqrt(6)+1/2*sqrt(-87+36*sqrt(6)))],
[-1+2/3*sqrt(6), 2/3*sqrt(3)*(-1+sqrt(6))], [-3/4+3/4*sqrt(5),
-1/10*sqrt(15)*(-5/2+1/2*sqrt(5))], [3/2, 1/2*sqrt(15)],
[-15/4+1/2*sqrt(3)*sqrt(15)+1/4*sqrt(-27+12*sqrt(3)*sqrt(15)),
-2/3*(-15/4+1/2*sqrt(3)*sqrt(15)+1/4*sqrt(-27+12*sqrt(3)*sqrt(15))
)*sqrt(3)+1/3*(-15/4+1/2*sqrt(3)*sqrt(15)+1/4*sqrt(-27+12*sqrt(3)*
sqrt(15)))*sqrt(15)-6*sqrt(3)+3*sqrt(15)], [7/8, 7/8*sqrt(15)],
[1/2+5/6*sqrt(3), 1/15*sqrt(15)*(5/2+5/2*sqrt(3))],
[-23/8+3/8*sqrt(3)*sqrt(15)+1/8*sqrt(54+38*sqrt(3)*sqrt(15)),
-2/3*(-23/8+3/8*sqrt(3)*sqrt(15)+1/8*sqrt(54+38*sqrt(3)*sqrt(15)))
*sqrt(3)+1/3*(-23/8+3/8*sqrt(3)*sqrt(15)+1/8*sqrt(54+38*sqrt(3)*sq
rt(15)))*sqrt(15)-14/3*sqrt(3)+7/3*sqrt(15)],
[5/32+3/32*sqrt(145), 1/15*sqrt(15)*(195/32+21/32*sqrt(145))],
[5/4+1/4*sqrt(3)*sqrt(15), 1/4*sqrt(15)-1/4*sqrt(3)],
[-3*(29/4*sqrt(3)-13/4*sqrt(15)+1/4*sqrt(-762+114*sqrt(3)*sqrt(15)
))/(2*sqrt(3)-sqrt(15)),
-7/4*sqrt(3)+3/4*sqrt(15)+1/4*sqrt(-762+114*sqrt(3)*sqrt(15))],
[17/64+7/64*sqrt(3)*sqrt(15)+1/64*sqrt(5310+750*sqrt(3)*sqrt(15)),
7/15*sqrt(15)*(17/64+7/64*sqrt(3)*sqrt(15)+1/64*sqrt(5310+750*sqrt
(3)*sqrt(15)))+4/15*sqrt(15)-sqrt(3)], [1+1/2*sqrt(10),
1/10*sqrt(15)*sqrt(10)], [3/4+1/4*sqrt(3)*sqrt(15),
-5/4*sqrt(3)+3/4*sqrt(15)], [2, sqrt(15)], [13/8+1/24*sqrt(1065),
1/30*sqrt(15)*(-25/4+1/4*sqrt(1065))],
[17/16-3/16*sqrt(3)*sqrt(15)+1/16*sqrt(1350+170*sqrt(3)*sqrt(15)),
-2/3*(17/16-3/16*sqrt(3)*sqrt(15)+1/16*sqrt(1350+170*sqrt(3)*sqrt(
15)))*sqrt(3)+1/3*(17/16-3/16*sqrt(3)*sqrt(15)+1/16*sqrt(1350+170*
sqrt(3)*sqrt(15)))*sqrt(15)+4/3*sqrt(3)-2/3*sqrt(15)], [89/32,
33/32*sqrt(15)],
[31/16+17/48*sqrt(6)+7/48*sqrt(3)*sqrt(15)+7/48*sqrt(3)*sqrt(6)*sq
rt(15),
7/16*sqrt(15)-7/48*sqrt(15)*sqrt(6)+17/48*sqrt(3)+17/48*sqrt(3)*sq
rt(6)], [3/4, 1/4*sqrt(15)], [13/8-1/24*sqrt(1065),
-1/30*sqrt(15)*(-25/4-1/4*sqrt(1065))],
[17/16+3/16*sqrt(3)*sqrt(15)-1/16*sqrt(1350-170*sqrt(3)*sqrt(15)),
-1/3*(17/16+3/16*sqrt(3)*sqrt(15)-1/16*sqrt(1350-170*sqrt(3)*sqrt(
15)))*sqrt(15)-2/3*(17/16+3/16*sqrt(3)*sqrt(15)-1/16*sqrt(1350-170
*sqrt(3)*sqrt(15)))*sqrt(3)+2/3*sqrt(15)+4/3*sqrt(3)],
[-1/3*sqrt(15)*(-5/12*sqrt(3)+1/3*sqrt(15)-5/12*sqrt(3)*sqrt(6)+7/
36*sqrt(15)*sqrt(6)+1/12*sqrt(-537+108*sqrt(3)*sqrt(15)-258*sqrt(6
)+38*sqrt(3)*sqrt(6)*sqrt(15)))+11/3+14/9*sqrt(6)-2/9*sqrt(3)*sqrt
(6)*sqrt(15)-2/9*sqrt(3)*sqrt(15),
-5/12*sqrt(3)+1/3*sqrt(15)-5/12*sqrt(3)*sqrt(6)+7/36*sqrt(15)*sqrt
(6)+1/12*sqrt(-537+108*sqrt(3)*sqrt(15)-258*sqrt(6)+38*sqrt(3)*sqr
t(6)*sqrt(15))], [1/6*sqrt(3)*sqrt(15)-1/3*sqrt(6),
-5/6*sqrt(3)+1/3*sqrt(15)*sqrt(6)],
[-1/24*sqrt(3)*sqrt(6)*sqrt(15)-13/8+1/24*sqrt(3)*sqrt(15)+7/24*sq
rt(6)+1/24*sqrt(-10350-660*sqrt(3)*sqrt(6)*sqrt(15)+4500*sqrt(6)+1
710*sqrt(3)*sqrt(15)),
1/15*sqrt(15)*(-1/24*sqrt(3)*sqrt(6)*sqrt(15)-13/8+1/24*sqrt(3)*sq
rt(15)+7/24*sqrt(6)+1/24*sqrt(-10350-660*sqrt(3)*sqrt(6)*sqrt(15)+
4500*sqrt(6)+1710*sqrt(3)*sqrt(15)))+11/15*sqrt(15)-14/45*sqrt(15)
*sqrt(6)+2/3*sqrt(3)*sqrt(6)-2/3*sqrt(3)],
[-3/4+1/12*sqrt(333-12*sqrt(6)),
1/30*sqrt(3)*(15/2-2*sqrt(6)+1/2*sqrt(333-12*sqrt(6))+2*sqrt(6)*(3/2+1/6*sqrt(333-12*sqrt(6))))], [33/19+16/57*sqrt(6),
-4/57*sqrt(3)*(sqrt(6)-14)], [-5/9+2/9*sqrt(76+9*sqrt(6)),
1/69*sqrt(3)*(-16*sqrt(6)+6*sqrt(76+9*sqrt(6))+8*sqrt(6)*(-5/9+2/9
*sqrt(76+9*sqrt(6))))],
[15/19+3/19*sqrt(6)+1/57*sqrt(7983+1038*sqrt(6)),
-1/15*(-33/19+20/19*sqrt(6)-2/19*sqrt(7983+1038*sqrt(6))+(15/19+3/
19*sqrt(6)+1/57*sqrt(7983+1038*sqrt(6)))*sqrt(6))*sqrt(3)],
[1/18+2/9*sqrt(6)+1/18*sqrt(1537+8*sqrt(6)),
1/69*sqrt(3)*(-75/2-26*sqrt(6)+3/2*sqrt(1537+8*sqrt(6))+8*sqrt(6)*
(1/18+2/9*sqrt(6)+1/18*sqrt(1537+8*sqrt(6))))],
[-2/19+14/57*sqrt(6), 1/57*sqrt(3)*(49+6*sqrt(6))],
[5/4+3/4*sqrt(6)+1/12*sqrt(1083+438*sqrt(6)),
-1/15*(-117/4-15/4*sqrt(6)-3/4*sqrt(1083+438*sqrt(6))+4*(5/4+3/4*s
qrt(6)+1/12*sqrt(1083+438*sqrt(6)))*sqrt(6))*sqrt(3)],
[7/4+7/12*sqrt(6)+1/12*sqrt(963+318*sqrt(6)),
-1/15*sqrt(3)*(-111/4-33/4*sqrt(6)-3/4*sqrt(963+318*sqrt(6))+4*(7/
4+7/12*sqrt(6)+1/12*sqrt(963+318*sqrt(6)))*sqrt(6))],
[43/12-1/12*sqrt(3)*sqrt(15)+1/18*sqrt(3)*sqrt(6)*sqrt(15)+7/6*sqr
t(6),
7/12*sqrt(3)-7/18*sqrt(3)*sqrt(6)+1/12*sqrt(15)+1/6*sqrt(15)*sqrt(
6)], [19/3+2/9*sqrt(6), -2/9*sqrt(3)*(-5+sqrt(6))],
[-3/4+1/12*sqrt(333+12*sqrt(6)),
-1/30*sqrt(3)*(-15/2-2*sqrt(6)-1/2*sqrt(333+12*sqrt(6))+2*sqrt(6)*
(-3/2+1/6*sqrt(333+12*sqrt(6))))], [33/19-16/57*sqrt(6),
4/57*sqrt(3)*(sqrt(6)+14)], [-5/9+2/9*sqrt(76-9*sqrt(6)),
-1/69*sqrt(3)*(-16*sqrt(6)-6*sqrt(76-9*sqrt(6))+8*sqrt(6)*(-5/9+2/
9*sqrt(76-9*sqrt(6))))], [11/3-4/3*sqrt(6),
2/9*sqrt(3)*(2*sqrt(6)+3)],
[15/19-3/19*sqrt(6)+1/57*sqrt(7983-1038*sqrt(6)),
1/15*(33/19+20/19*sqrt(6)+2/19*sqrt(7983-1038*sqrt(6))+(15/19-3/19
*sqrt(6)+1/57*sqrt(7983-1038*sqrt(6)))*sqrt(6))*sqrt(3)],
[1/18-2/9*sqrt(6)+1/18*sqrt(1537-8*sqrt(6)),
-1/69*sqrt(3)*(75/2-26*sqrt(6)-3/2*sqrt(1537-8*sqrt(6))+8*sqrt(6)*
(1/18-2/9*sqrt(6)+1/18*sqrt(1537-8*sqrt(6))))],
[17/12-7/12*sqrt(6)+1/12*sqrt(1003-358*sqrt(6)),
1/15*(51/4-1/4*sqrt(6)+3/4*sqrt(1003-358*sqrt(6))+4*(17/12-7/12*sq
rt(6)+1/12*sqrt(1003-358*sqrt(6)))*sqrt(6))*sqrt(3)],
[54/19-2/57*sqrt(6), 1/57*sqrt(3)*(7+10*sqrt(6))],
[7/19+11/57*sqrt(6)+1/57*sqrt(-2937+3882*sqrt(6)),
1/15*(213/19-92/19*sqrt(6)+2/19*sqrt(-2937+3882*sqrt(6))+(7/19+11/
57*sqrt(6)+1/57*sqrt(-2937+3882*sqrt(6)))*sqrt(6))*sqrt(3)],
[8/9*sqrt(6), 5/9*sqrt(3)],
[7/4-7/12*sqrt(6)+1/12*sqrt(963-318*sqrt(6)),
1/15*sqrt(3)*(111/4-33/4*sqrt(6)+3/4*sqrt(963-318*sqrt(6))+4*(7/47/12*sqrt(6)+1/12*sqrt(963-318*sqrt(6)))*sqrt(6))],
[-1/6*sqrt(3)*(13/38*sqrt(3)+2/57*sqrt(15)*sqrt(6)-13/38*sqrt(15)2/57*sqrt(3)*sqrt(6)+1/57*sqrt(1377+534*sqrt(6)+303*sqrt(3)*sqrt(1
5)+42*sqrt(3)*sqrt(6)*sqrt(15)))*sqrt(6)+1/4*sqrt(6)-1/12*sqrt(3)*
sqrt(6)*sqrt(15)+sqrt(3)*(13/38*sqrt(3)+2/57*sqrt(15)*sqrt(6)-13/3
8*sqrt(15)-2/57*sqrt(3)*sqrt(6)+1/57*sqrt(1377+534*sqrt(6)+303*sqr
t(3)*sqrt(15)+42*sqrt(3)*sqrt(6)*sqrt(15)))-1/2+1/2*sqrt(3)*sqrt(1
5),
13/38*sqrt(3)+2/57*sqrt(15)*sqrt(6)-13/38*sqrt(15)-2/57*sqrt(3)*sq
rt(6)+1/57*sqrt(1377+534*sqrt(6)+303*sqrt(3)*sqrt(15)+42*sqrt(3)*s
qrt(6)*sqrt(15))],
[-19/36-5/108*sqrt(3)*sqrt(6)*sqrt(15)+1/36*sqrt(6)+5/36*sqrt(3)*s
qrt(15)+1/108*sqrt(42858+5238*sqrt(3)*sqrt(15)+4572*sqrt(6)+1092*s
qrt(3)*sqrt(6)*sqrt(15)),
9/23*sqrt(3)*(-19/36-5/108*sqrt(3)*sqrt(6)*sqrt(15)+1/36*sqrt(6)+5
/36*sqrt(3)*sqrt(15)+1/108*sqrt(42858+5238*sqrt(3)*sqrt(15)+4572*s
qrt(6)+1092*sqrt(3)*sqrt(6)*sqrt(15)))+2/23*sqrt(3)-8/69*sqrt(3)*(
-19/36-5/108*sqrt(3)*sqrt(6)*sqrt(15)+1/36*sqrt(6)+5/36*sqrt(3)*sq
rt(15)+1/108*sqrt(42858+5238*sqrt(3)*sqrt(15)+4572*sqrt(6)+1092*sq
rt(3)*sqrt(6)*sqrt(15)))*sqrt(6)+11/69*sqrt(3)*sqrt(6)-13/23*sqrt(
15)+3/23*sqrt(15)*sqrt(6)],
[43/12+1/12*sqrt(3)*sqrt(15)+1/18*sqrt(3)*sqrt(6)*sqrt(15)-7/6*sqr
t(6),
7/12*sqrt(3)+7/18*sqrt(3)*sqrt(6)-1/12*sqrt(15)+1/6*sqrt(15)*sqrt(
6)], [19/3-2/9*sqrt(6), 2/9*sqrt(3)*(5+sqrt(6))],
[-1/2+1/2*sqrt(33), 1/3*sqrt(3)*(-3/2+1/2*sqrt(33))],
[5/2+1/6*sqrt(33), 1/2*sqrt(11)+1/6*sqrt(3)], [3-1/3*sqrt(33),
1/3*sqrt(-33+12*sqrt(33))], [3+1/3*sqrt(33), 1/3*sqrt(3)],
[-7/4+1/4*sqrt(33)+1/4*sqrt(-78+18*sqrt(33)),
1/3*sqrt(3)*(-9/4+3/4*sqrt(33)-1/4*sqrt(-78+18*sqrt(33)))],
[7/4-1/4*sqrt(33)+1/4*sqrt(-78+18*sqrt(33)),
1/3*sqrt(3)*(-9/4+3/4*sqrt(33)+1/4*sqrt(-78+18*sqrt(33)))],
[3-1/3*sqrt(33), 1/3*sqrt(3)], [1/2+1/6*sqrt(105),
1/3*sqrt(3)*(-7/2+1/2*sqrt(105))], [11/4-1/4*sqrt(33),
1/4*sqrt(-18+14*sqrt(33))], [4, sqrt(3)], [3/2+1/6*sqrt(33),
1/6*sqrt(3)*(-1+sqrt(33))], [1/2+1/6*sqrt(33),
1/6*sqrt(3)*(1+sqrt(33))], [1/3*sqrt(33), 2/3*sqrt(3)],
[7/2-1/6*sqrt(33), 1/6*sqrt(3)*(1+sqrt(33))], [2/3,
1/9*sqrt(3)*sqrt(33)],
[-75/148-3/148*sqrt(33)+1/444*sqrt(138546-3054*sqrt(33)),
1/24*sqrt(3)*(5*(-75/148-3/148*sqrt(33)+1/444*sqrt(138546-3054*sqr
t(33)))*sqrt(33)+663/148+287/148*sqrt(33)+1/148*sqrt(138546-3054*s
qrt(33)))], [3/2-1/6*sqrt(33), 1/6*sqrt(3)*(1+sqrt(33))],
[19/36-1/12*sqrt(33)+1/36*sqrt(3610-618*sqrt(33)),
1/6*sqrt(3)*(5*(19/36-1/12*sqrt(33)+1/36*sqrt(3610-618*sqrt(33)))*
sqrt(33)+45/4-13/4*sqrt(33)+3/4*sqrt(3610-618*sqrt(33)))],
[3/2+1/12*sqrt(234-6*sqrt(33)),
1/24*sqrt(3)*((3+1/6*sqrt(234-6*sqrt(33)))*sqrt(33)+6+1/2*sqrt(234
-6*sqrt(33))-5*sqrt(33))],
[31/18+1/18*sqrt(33)+1/18*sqrt(274-46*sqrt(33)),
1/6*sqrt(3)*(-21/2-19/2*sqrt(33)+3/2*sqrt(274-46*sqrt(33))+5*(31/1
8+1/18*sqrt(33)+1/18*sqrt(274-46*sqrt(33)))*sqrt(33))],
[1/6*sqrt(33)+23/6, -1/18*sqrt(3)*(-15+sqrt(33))],
[-35/74+55/222*sqrt(33), -1/222*sqrt(3)*(15*sqrt(33)-143)],
[-9/148*sqrt(33)+71/148+1/444*sqrt(32130+8034*sqrt(33)),
1/24*sqrt(3)*(5*(-9/148*sqrt(33)+71/148+1/444*sqrt(32130+8034*sqrt
(33)))*sqrt(33)-619/148*sqrt(33)+1989/148+1/148*sqrt(32130+8034*sq
rt(33)))],
[61/444*sqrt(33)-251/444+1/444*sqrt(120082-8718*sqrt(33)),
1/24*sqrt(3)*(5*(61/444*sqrt(33)-251/444+1/444*sqrt(120082-8718*sq
rt(33)))*sqrt(33)+357/148*sqrt(33)-4099/148+1/148*sqrt(120082-8718
*sqrt(33)))], [5/12+1/12*sqrt(33)+1/12*sqrt(-158+66*sqrt(33)),
1/12*sqrt(3)*(-47/4+5/4*sqrt(33)+1/4*sqrt(-158+66*sqrt(33))+(5/12+
1/12*sqrt(33)+1/12*sqrt(-158+66*sqrt(33)))*sqrt(33))],
[13/3-1/9*sqrt(33), 1/9*sqrt(3)*(sqrt(33)+4)],
[31/12+1/12*sqrt(33)+1/12*sqrt(-638+158*sqrt(33)),
1/24*sqrt(3)*((31/12+1/12*sqrt(33)+1/12*sqrt(-638+158*sqrt(33)))*s
qrt(33)+93/4-29/4*sqrt(33)+3/4*sqrt(-638+158*sqrt(33)))],
[-5/222*sqrt(33)+17/74, 1/222*sqrt(3)*(13+35*sqrt(33))],
[3/2+1/12*sqrt(234+6*sqrt(33)),
-1/24*sqrt(3)*(-6-1/2*sqrt(234+6*sqrt(33))+(3+1/6*sqrt(234+6*sqrt(
33)))*sqrt(33)-5*sqrt(33))], [3/2-1/12*sqrt(234+6*sqrt(33)),
-1/24*sqrt(3)*(-6+1/2*sqrt(234+6*sqrt(33))+(3-1/6*sqrt(234+6*sqrt(
33)))*sqrt(33)-5*sqrt(33))],
[31/18-1/18*sqrt(33)+1/18*sqrt(274+46*sqrt(33)),
-1/6*sqrt(3)*(21/2-19/2*sqrt(33)-3/2*sqrt(274+46*sqrt(33))+5*(31/1
8-1/18*sqrt(33)+1/18*sqrt(274+46*sqrt(33)))*sqrt(33))],
[31/18-1/18*sqrt(33)-1/18*sqrt(274+46*sqrt(33)),
-1/6*sqrt(3)*(21/2-19/2*sqrt(33)+3/2*sqrt(274+46*sqrt(33))+5*(31/1
8-1/18*sqrt(33)-1/18*sqrt(274+46*sqrt(33)))*sqrt(33))],
[-1/6*sqrt(33)+23/6, 1/18*sqrt(3)*(15+sqrt(33))], [1+1/3*sqrt(33),
1/3*sqrt(3)], [7/6+5/18*sqrt(33), 5/18*sqrt(3)*(-5+sqrt(33))],
[2+2/3*sqrt(-15+3*sqrt(33)),
1/12*sqrt(3)*((1+1/3*sqrt(-15+3*sqrt(33)))*sqrt(33)+18+3*sqrt(-15+
3*sqrt(33))-3*sqrt(33))], [14/3, 1/9*sqrt(3)*sqrt(33)], [6,
3*sqrt(3)], [3/2, -sqrt(3)+1/2*sqrt(15)], [9/7, 8/7*sqrt(3)],
[1+2/3*sqrt(6), 1/3*sqrt(3)*(-4+2*sqrt(6))], [5, 0],
[5/2-1/6*sqrt(33), 1/6*sqrt(3)*(-1+sqrt(33))],
[75/148-3/148*sqrt(33)+1/444*sqrt(138546+3054*sqrt(33)),
1/24*(663/148-287/148*sqrt(33)-1/148*sqrt(138546+3054*sqrt(33))+5*
(75/148-3/148*sqrt(33)+1/444*sqrt(138546+3054*sqrt(33)))*sqrt(33))
*sqrt(3)], [-19/36-1/12*sqrt(33)+1/36*sqrt(3610+618*sqrt(33)),
1/6*(45/4+13/4*sqrt(33)-3/4*sqrt(3610+618*sqrt(33))+5*(-19/36-1/12
*sqrt(33)+1/36*sqrt(3610+618*sqrt(33)))*sqrt(33))*sqrt(3)],
[61/444*sqrt(33)+251/444+1/444*sqrt(120082+8718*sqrt(33)),
1/24*(-357/148*sqrt(33)-4099/148-1/148*sqrt(120082+8718*sqrt(33))+
5*(61/444*sqrt(33)+251/444+1/444*sqrt(120082+8718*sqrt(33)))*sqrt(
33))*sqrt(3)], [5/9+8/27*sqrt(33), 8/27*sqrt(3)*(sqrt(33)-4)],
[-1+1/3*sqrt(33), 1/3*sqrt(3)], [165/74+5/222*sqrt(33),
1/222*sqrt(3)*(-13+35*sqrt(33))], [-5/4+1/4*sqrt(69),
1/6*sqrt(3)*(3/2+1/2*sqrt(69))], [2-2/3*sqrt(6),
1/3*sqrt(3+12*sqrt(6))], [-3+4/3*sqrt(6), 4/3*sqrt(-6+3*sqrt(6))],
[-3+4/3*sqrt(6), 4/3*sqrt(3)], [1/4, 1/4*sqrt(39)],
[7/4-1/12*sqrt(285), -1/6*sqrt(3)*(5/2-1/2*sqrt(285))],
[sqrt(6)-2, sqrt(-3+2*sqrt(6))], [-4+2*sqrt(6),
sqrt(-45+20*sqrt(6))], [11/4, 1/4*sqrt(15)],
[23/8-3/8*sqrt(3)*sqrt(15)+1/8*sqrt(54+38*sqrt(3)*sqrt(15)),
-(-33/8-3/8*sqrt(3)*sqrt(15)+1/8*sqrt(54+38*sqrt(3)*sqrt(15)))/(2*
sqrt(3)+sqrt(15))], [3/4+3/4*sqrt(5),
1/10*sqrt(15)*(5/2+1/2*sqrt(5))],
[15/4-1/2*sqrt(3)*sqrt(15)+1/4*sqrt(-27+12*sqrt(3)*sqrt(15)),
-(-21/4-1/2*sqrt(3)*sqrt(15)+1/4*sqrt(-27+12*sqrt(3)*sqrt(15)))/(2
*sqrt(3)+sqrt(15))], [-1/8*sqrt(3)*sqrt(15)+15/8,
1/8*sqrt(15)+7/8*sqrt(3)], [-3/4+1/4*sqrt(3)*sqrt(15),
3/4*sqrt(15)-3/4*sqrt(3)],
[-1/7*sqrt(15)*(25/64*sqrt(15)+15/64*sqrt(3)+7/64*sqrt(354-50*sqrt
(3)*sqrt(15)))+4/7+1/7*sqrt(3)*sqrt(15),
25/64*sqrt(15)+15/64*sqrt(3)+7/64*sqrt(354-50*sqrt(3)*sqrt(15))],
[-1/7*sqrt(15)*(25/64*sqrt(15)+15/64*sqrt(3)-7/64*sqrt(354-50*sqrt
(3)*sqrt(15)))+4/7+1/7*sqrt(3)*sqrt(15),
25/64*sqrt(15)+15/64*sqrt(3)-7/64*sqrt(354-50*sqrt(3)*sqrt(15))],
[sqrt(15)*(-5/8*sqrt(3)+7/24*sqrt(15)*sqrt(6)-5/8*sqrt(15)+5/8*sqr
t(3)*sqrt(6)+1/24*sqrt(-690+44*sqrt(3)*sqrt(6)*sqrt(15)-114*sqrt(3
)*sqrt(15)+300*sqrt(6)))+11-14/3*sqrt(6)-2/3*sqrt(3)*sqrt(6)*sqrt(
15)+2/3*sqrt(3)*sqrt(15),
-5/8*sqrt(3)+7/24*sqrt(15)*sqrt(6)-5/8*sqrt(15)+5/8*sqrt(3)*sqrt(6
)+1/24*sqrt(-690+44*sqrt(3)*sqrt(6)*sqrt(15)-114*sqrt(3)*sqrt(15)+
300*sqrt(6))],
[sqrt(15)*(-5/8*sqrt(3)+7/24*sqrt(15)*sqrt(6)-5/8*sqrt(15)+5/8*sqr
t(3)*sqrt(6)-1/24*sqrt(-690+44*sqrt(3)*sqrt(6)*sqrt(15)-114*sqrt(3
)*sqrt(15)+300*sqrt(6)))+11-14/3*sqrt(6)-2/3*sqrt(3)*sqrt(6)*sqrt(
15)+2/3*sqrt(3)*sqrt(15),
-5/8*sqrt(3)+7/24*sqrt(15)*sqrt(6)-5/8*sqrt(15)+5/8*sqrt(3)*sqrt(6
)-1/24*sqrt(-690+44*sqrt(3)*sqrt(6)*sqrt(15)-114*sqrt(3)*sqrt(15)+
300*sqrt(6))],
[-31/16-7/48*sqrt(3)*sqrt(15)+17/48*sqrt(6)+7/48*sqrt(3)*sqrt(6)*s
qrt(15),
7/16*sqrt(15)+7/48*sqrt(15)*sqrt(6)-17/48*sqrt(3)*sqrt(6)+17/48*sq
rt(3)], [-1/2+5/6*sqrt(3), 1/15*sqrt(15)*(-5/2+5/2*sqrt(3))],
[-5/32+3/32*sqrt(145), 1/15*sqrt(15)*(-195/32+21/32*sqrt(145))],
[1/8*sqrt(3)*sqrt(15)+15/8, -1/8*sqrt(15)+7/8*sqrt(3)],
[1/7*sqrt(15)*(15/64*sqrt(3)-25/64*sqrt(15)+7/64*sqrt(354+50*sqrt(
3)*sqrt(15)))-1/7*sqrt(3)*sqrt(15)+4/7,
15/64*sqrt(3)-25/64*sqrt(15)+7/64*sqrt(354+50*sqrt(3)*sqrt(15))],
[1/2*sqrt(10)-1, 1/10*sqrt(15)*sqrt(10)], [13/16, 5/16*sqrt(15)],
[19/8, 3/8*sqrt(15)],
[1/3*sqrt(15)*(-5/12*sqrt(3)-7/36*sqrt(15)*sqrt(6)+1/3*sqrt(15)+5/
12*sqrt(3)*sqrt(6)+1/12*sqrt(-537+258*sqrt(6)+108*sqrt(3)*sqrt(15)
-38*sqrt(3)*sqrt(6)*sqrt(15)))-11/3+14/9*sqrt(6)-2/9*sqrt(3)*sqrt(
6)*sqrt(15)+2/9*sqrt(3)*sqrt(15),
-5/12*sqrt(3)-7/36*sqrt(15)*sqrt(6)+1/3*sqrt(15)+5/12*sqrt(3)*sqrt
(6)+1/12*sqrt(-537+258*sqrt(6)+108*sqrt(3)*sqrt(15)-38*sqrt(3)*sqr
t(6)*sqrt(15))],
[1/24*sqrt(3)*sqrt(6)*sqrt(15)-1/24*sqrt(3)*sqrt(15)+13/8-7/24*sqr
t(6)+1/24*sqrt(-10350-660*sqrt(3)*sqrt(6)*sqrt(15)+4500*sqrt(6)+17
10*sqrt(3)*sqrt(15)),
-1/15*sqrt(15)*(1/24*sqrt(3)*sqrt(6)*sqrt(15)-1/24*sqrt(3)*sqrt(15
)+13/8-7/24*sqrt(6)+1/24*sqrt(-10350-660*sqrt(3)*sqrt(6)*sqrt(15)+
4500*sqrt(6)+1710*sqrt(3)*sqrt(15)))+11/15*sqrt(15)-14/45*sqrt(15)
*sqrt(6)+2/3*sqrt(3)*sqrt(6)-2/3*sqrt(3)],
[-1/24*sqrt(3)*sqrt(6)*sqrt(15)-1/24*sqrt(3)*sqrt(15)+13/8+7/24*sq
rt(6)+1/24*sqrt(-10350-4500*sqrt(6)+660*sqrt(3)*sqrt(6)*sqrt(15)+1
710*sqrt(3)*sqrt(15)),
-1/15*sqrt(15)*(-1/24*sqrt(3)*sqrt(6)*sqrt(15)-1/24*sqrt(3)*sqrt(1
5)+13/8+7/24*sqrt(6)+1/24*sqrt(-10350-4500*sqrt(6)+660*sqrt(3)*sqr
t(6)*sqrt(15)+1710*sqrt(3)*sqrt(15)))+11/15*sqrt(15)+14/45*sqrt(15
)*sqrt(6)-2/3*sqrt(3)*sqrt(6)-2/3*sqrt(3)],
[-1/24*sqrt(3)*sqrt(6)*sqrt(15)-1/24*sqrt(3)*sqrt(15)+13/8+7/24*sq
rt(6)-1/24*sqrt(-10350-4500*sqrt(6)+660*sqrt(3)*sqrt(6)*sqrt(15)+1
710*sqrt(3)*sqrt(15)),
-1/15*sqrt(15)*(-1/24*sqrt(3)*sqrt(6)*sqrt(15)-1/24*sqrt(3)*sqrt(1
5)+13/8+7/24*sqrt(6)-1/24*sqrt(-10350-4500*sqrt(6)+660*sqrt(3)*sqr
t(6)*sqrt(15)+1710*sqrt(3)*sqrt(15)))+11/15*sqrt(15)+14/45*sqrt(15
)*sqrt(6)-2/3*sqrt(3)*sqrt(6)-2/3*sqrt(3)],
[-31/16-17/48*sqrt(6)+7/48*sqrt(3)*sqrt(15)+7/48*sqrt(3)*sqrt(6)*s
qrt(15),
-7/16*sqrt(15)+7/48*sqrt(15)*sqrt(6)+17/48*sqrt(3)*sqrt(6)+17/48*s
qrt(3)], [1/3*sqrt(6)+2, 1/3*sqrt(3)*(-1+sqrt(6))],
[2/9*sqrt(6)-1/18+1/18*sqrt(1537-8*sqrt(6)),
1/69*sqrt(3)*(-75/2+26*sqrt(6)-3/2*sqrt(1537-8*sqrt(6))+8*sqrt(6)*
(2/9*sqrt(6)-1/18+1/18*sqrt(1537-8*sqrt(6))))],
[3/4+1/12*sqrt(333+12*sqrt(6)),
1/30*sqrt(3)*(15/2+2*sqrt(6)-1/2*sqrt(333+12*sqrt(6))+2*sqrt(6)*(3
/2+1/6*sqrt(333+12*sqrt(6))))], [5/9+2/9*sqrt(76-9*sqrt(6)),
1/69*sqrt(3)*(16*sqrt(6)-6*sqrt(76-9*sqrt(6))+8*sqrt(6)*(5/9+2/9*s
qrt(76-9*sqrt(6))))], [14/57*sqrt(6)+2/19,
-1/57*sqrt(3)*(-49+6*sqrt(6))], [-1/3*sqrt(6)+2,
1/3*sqrt(3)*(1+sqrt(6))], [7/3-4/9*sqrt(6),
2/9*sqrt(3)*(-1+2*sqrt(6))],
[-5/4+3/4*sqrt(6)+1/12*sqrt(1083-438*sqrt(6)),
-1/15*(-117/4+15/4*sqrt(6)+3/4*sqrt(1083-438*sqrt(6))+4*(-5/4+3/4*
sqrt(6)+1/12*sqrt(1083-438*sqrt(6)))*sqrt(6))*sqrt(3)],
[-5/4+3/4*sqrt(6)-1/12*sqrt(1083-438*sqrt(6)),
-1/15*(-117/4+15/4*sqrt(6)-3/4*sqrt(1083-438*sqrt(6))+4*(-5/4+3/4*
sqrt(6)-1/12*sqrt(1083-438*sqrt(6)))*sqrt(6))*sqrt(3)],
[1/12*sqrt(3)*sqrt(15)-1/12*sqrt(3)*sqrt(6)*sqrt(15)+5/4+1/12*sqrt
(6),
-1/12*sqrt(3)+1/12*sqrt(3)*sqrt(6)+1/4*sqrt(15)+1/12*sqrt(15)*sqrt
(6)],
[19/36+5/36*sqrt(3)*sqrt(15)-1/36*sqrt(6)-5/108*sqrt(3)*sqrt(6)*sq
rt(15)+1/108*sqrt(42858-5238*sqrt(3)*sqrt(15)+4572*sqrt(6)-1092*sq
rt(3)*sqrt(6)*sqrt(15)),
-9/23*sqrt(3)*(19/36+5/36*sqrt(3)*sqrt(15)-1/36*sqrt(6)-5/108*sqrt
(3)*sqrt(6)*sqrt(15)+1/108*sqrt(42858-5238*sqrt(3)*sqrt(15)+4572*s
qrt(6)-1092*sqrt(3)*sqrt(6)*sqrt(15)))+2/23*sqrt(3)+8/69*sqrt(3)*(
19/36+5/36*sqrt(3)*sqrt(15)-1/36*sqrt(6)-5/108*sqrt(3)*sqrt(6)*sqr
t(15)+1/108*sqrt(42858-5238*sqrt(3)*sqrt(15)+4572*sqrt(6)-1092*sqr
t(3)*sqrt(6)*sqrt(15)))*sqrt(6)+11/69*sqrt(3)*sqrt(6)+13/23*sqrt(1
5)-3/23*sqrt(15)*sqrt(6)],
[19/36+5/36*sqrt(3)*sqrt(15)-1/36*sqrt(6)-5/108*sqrt(3)*sqrt(6)*sq
rt(15)-1/108*sqrt(42858-5238*sqrt(3)*sqrt(15)+4572*sqrt(6)-1092*sq
rt(3)*sqrt(6)*sqrt(15)),
-9/23*sqrt(3)*(19/36+5/36*sqrt(3)*sqrt(15)-1/36*sqrt(6)-5/108*sqrt
(3)*sqrt(6)*sqrt(15)-1/108*sqrt(42858-5238*sqrt(3)*sqrt(15)+4572*s
qrt(6)-1092*sqrt(3)*sqrt(6)*sqrt(15)))+2/23*sqrt(3)+8/69*sqrt(3)*(
19/36+5/36*sqrt(3)*sqrt(15)-1/36*sqrt(6)-5/108*sqrt(3)*sqrt(6)*sqr
t(15)-1/108*sqrt(42858-5238*sqrt(3)*sqrt(15)+4572*sqrt(6)-1092*sqr
t(3)*sqrt(6)*sqrt(15)))*sqrt(6)+11/69*sqrt(3)*sqrt(6)+13/23*sqrt(1
5)-3/23*sqrt(15)*sqrt(6)],
[1/12*sqrt(3)*sqrt(15)+1/18*sqrt(3)*sqrt(6)*sqrt(15)-43/12+7/6*sqr
t(6),
7/12*sqrt(3)+7/18*sqrt(3)*sqrt(6)+1/12*sqrt(15)-1/6*sqrt(15)*sqrt(
6)], [-3/4*sqrt(6)-5/4+1/12*sqrt(1083+438*sqrt(6)),
1/15*(15/4*sqrt(6)+117/4-3/4*sqrt(1083+438*sqrt(6))+4*(-3/4*sqrt(6
)-5/4+1/12*sqrt(1083+438*sqrt(6)))*sqrt(6))*sqrt(3)],
[1/3*sqrt(6), 1/3*sqrt(3)*(1+sqrt(6))],
[-7/12*sqrt(6)-7/4+1/12*sqrt(963+318*sqrt(6)),
1/15*(33/4*sqrt(6)+111/4-3/4*sqrt(963+318*sqrt(6))+4*(-7/12*sqrt(6
)-7/4+1/12*sqrt(963+318*sqrt(6)))*sqrt(6))*sqrt(3)],
[19/36+5/36*sqrt(3)*sqrt(15)+5/108*sqrt(3)*sqrt(6)*sqrt(15)+1/36*s
qrt(6)-1/108*sqrt(42858-5238*sqrt(3)*sqrt(15)+1092*sqrt(3)*sqrt(6)
*sqrt(15)-4572*sqrt(6)),
-9/23*sqrt(3)*(19/36+5/36*sqrt(3)*sqrt(15)+5/108*sqrt(3)*sqrt(6)*s
qrt(15)+1/36*sqrt(6)-1/108*sqrt(42858-5238*sqrt(3)*sqrt(15)+1092*s
qrt(3)*sqrt(6)*sqrt(15)-4572*sqrt(6)))+2/23*sqrt(3)-8/69*sqrt(3)*(
19/36+5/36*sqrt(3)*sqrt(15)+5/108*sqrt(3)*sqrt(6)*sqrt(15)+1/36*sq
rt(6)-1/108*sqrt(42858-5238*sqrt(3)*sqrt(15)+1092*sqrt(3)*sqrt(6)*
sqrt(15)-4572*sqrt(6)))*sqrt(6)-11/69*sqrt(3)*sqrt(6)+13/23*sqrt(1
5)+3/23*sqrt(15)*sqrt(6)],
[29/12-1/3*sqrt(6)-1/12*sqrt(-7067+2988*sqrt(6)),
-1/15*(181/4-24*sqrt(6)-1/4*sqrt(-7067+2988*sqrt(6))+2*(29/12-1/3*
sqrt(6)-1/12*sqrt(-7067+2988*sqrt(6)))*sqrt(6))*sqrt(3)],
[-1/2+1/6*sqrt(33), 1/3*sqrt(3)*(-5/2+1/2*sqrt(33))],
[-1/6*sqrt(33)+1/6*sqrt(13+4*sqrt(33)),
1/9*sqrt(3)*(1/2*sqrt(33)+3/2*sqrt(13+4*sqrt(33))-3)],
[-1/2+1/12*sqrt(234-6*sqrt(33)),
1/24*sqrt(3)*(6-sqrt(33)+sqrt(33)*(-1+1/6*sqrt(234-6*sqrt(33)))+1/
2*sqrt(234-6*sqrt(33)))], [11/6+1/6*sqrt(33),
-1/18*sqrt(3)*(-15+sqrt(33))], [1/6+1/6*sqrt(33),
1/18*sqrt(3)*(15+sqrt(33))],
[-19/12+1/12*sqrt(33)+1/12*sqrt(-158+66*sqrt(33)),
1/12*(-47/4+13/4*sqrt(33)+1/4*sqrt(-158+66*sqrt(33))+(-19/12+1/12*
sqrt(33)+1/12*sqrt(-158+66*sqrt(33)))*sqrt(33))*sqrt(3)],
[7/3-1/9*sqrt(33), 1/9*sqrt(3)*(sqrt(33)+4)],
[-1/2+1/12*sqrt(234+6*sqrt(33)),
-1/24*sqrt(3)*(-6-sqrt(33)-1/2*sqrt(234+6*sqrt(33))+sqrt(33)*(-1+1
/6*sqrt(234+6*sqrt(33))))], [11/6-1/6*sqrt(33),
1/18*sqrt(3)*(15+sqrt(33))], [-5/18+1/18*sqrt(33),
-1/54*sqrt(3)*(-39+sqrt(33))], [2/3*sqrt(-15+3*sqrt(33)),
1/24*sqrt(3)*(36-4*sqrt(33)+6*sqrt(-15+3*sqrt(33))+2/3*sqrt(33)*sq
rt(-15+3*sqrt(33)))],
[-27/8+13/24*sqrt(33)+1/24*sqrt(-30+78*sqrt(33)),
-1/6*(-69/2+13/2*sqrt(33)-1/2*sqrt(-30+78*sqrt(33))+2*(-27/8+13/24
*sqrt(33)+1/24*sqrt(-30+78*sqrt(33)))*sqrt(33))*sqrt(3)],
[-5/6+5/18*sqrt(33), 5/18*sqrt(3)*(-5+sqrt(33))],
[-5/8-1/8*sqrt(33)+1/8*sqrt(66+18*sqrt(33)),
1/6*sqrt(3)*(-9/4+3/4*sqrt(33)+1/4*sqrt(66+18*sqrt(33)))],
[5/4+3/4*sqrt(13), 1/6*sqrt(3)*(-3/2+3/2*sqrt(13))],
[1/2+1/12*sqrt(234+6*sqrt(33)),
1/24*sqrt(3)*(6+sqrt(33)+sqrt(33)*(1+1/6*sqrt(234+6*sqrt(33)))-1/2
*sqrt(234+6*sqrt(33)))], [-1/6+1/6*sqrt(33),
-1/18*sqrt(3)*(-15+sqrt(33))], [23/9+8/27*sqrt(33),
8/27*sqrt(3)*(sqrt(33)-4)], [1/3*sqrt(33), 8/3*sqrt(3)],
[5/2+1/6*sqrt(33), -1/6*sqrt(3)*(-11+sqrt(33))],
[5/2-1/6*sqrt(33), 1/6*sqrt(3)*(11+sqrt(33))],
[5/222*sqrt(33)+17/74, 1/222*sqrt(3)*(-13+35*sqrt(33))],
[3/2-1/12*sqrt(234-6*sqrt(33)),
-1/24*sqrt(3)*((3-1/6*sqrt(234-6*sqrt(33)))*sqrt(33)+6-1/2*sqrt(23
4-6*sqrt(33))-5*sqrt(33))],
[31/18+1/18*sqrt(33)-1/18*sqrt(274-46*sqrt(33)),
-1/6*sqrt(3)*(-21/2-19/2*sqrt(33)-3/2*sqrt(274-46*sqrt(33))+5*(31/
18+1/18*sqrt(33)-1/18*sqrt(274-46*sqrt(33)))*sqrt(33))],
[7/6+5/18*sqrt(33), 1/18*sqrt(3)*(11+5*sqrt(33))], [1,
1/3*sqrt(3)*(3+sqrt(33))], [-5/9+8/27*sqrt(33),
8/27*sqrt(3)*(sqrt(33)+4)],
[-75/148+3/148*sqrt(33)+1/444*sqrt(138546+3054*sqrt(33)),
1/24*sqrt(3)*(-663/148+287/148*sqrt(33)-1/148*sqrt(138546+3054*sqr
t(33))+5*(-75/148+3/148*sqrt(33)+1/444*sqrt(138546+3054*sqrt(33)))
*sqrt(33))], [1/12*sqrt(33)+19/36+1/36*sqrt(3610+618*sqrt(33)),
1/6*sqrt(3)*(-13/4*sqrt(33)-45/4-3/4*sqrt(3610+618*sqrt(33))+5*(1/
12*sqrt(33)+19/36+1/36*sqrt(3610+618*sqrt(33)))*sqrt(33))],
[31/12+1/12*sqrt(33)-1/12*sqrt(-638+158*sqrt(33)),
-1/24*sqrt(3)*((31/12+1/12*sqrt(33)-1/12*sqrt(-638+158*sqrt(33)))*
sqrt(33)+93/4-29/4*sqrt(33)-3/4*sqrt(-638+158*sqrt(33)))],
[-11/37+25/111*sqrt(33), -5/111*sqrt(3)*(-13+2*sqrt(33))],
[2-2/3*sqrt(-15+3*sqrt(33)),
-1/12*sqrt(3)*((1-1/3*sqrt(-15+3*sqrt(33)))*sqrt(33)+18-3*sqrt(-15
+3*sqrt(33))-3*sqrt(33))], [5/9*sqrt(33), 16/9*sqrt(3)],
[-1/12*sqrt(33)+3/4+1/444*sqrt(12210+12654*sqrt(33)),
1/24*sqrt(3)*(5*(-1/12*sqrt(33)+3/4+1/444*sqrt(12210+12654*sqrt(33
)))*sqrt(33)-23/4*sqrt(33)+63/4-1/148*sqrt(12210+12654*sqrt(33)))]
, [29/74-13/74*sqrt(33)+1/222*sqrt(9810+5646*sqrt(33)),
1/24*sqrt(3)*(2577/74-257/74*sqrt(33)-1/74*sqrt(9810+5646*sqrt(33)
)+5*(29/74-13/74*sqrt(33)+1/222*sqrt(9810+5646*sqrt(33)))*sqrt(33)
)], [13/3+1/9*sqrt(33), 1/9*sqrt(3)*(sqrt(33)-4)], [3+4/3*sqrt(6),
2/3*sqrt(3)], [20/7, 3/7*sqrt(3)], [1/3*sqrt(105), 2/3*sqrt(3)],
[7/6+1/6*sqrt(609), 1/9*sqrt(3)*(33/2+1/2*sqrt(609))],
[2+2*sqrt(6), 1/3*sqrt(3)*(2*sqrt(6)+3)], [2/3*sqrt(6),
1/3*sqrt(3)*(-1+2*sqrt(6))], [4/3*sqrt(6), 1/3*sqrt(3)],
[7/4+1/12*sqrt(285), 1/6*sqrt(3)*(5/2+1/2*sqrt(285))],
[4/3*sqrt(6), 5/3*sqrt(3)], [-3/4+1/4*sqrt(3)*sqrt(15),
3/4*sqrt(15)+5/4*sqrt(3)],
[(7/4*sqrt(3)-3/4*sqrt(15)+1/4*sqrt(-762+114*sqrt(3)*sqrt(15)))*sq
rt(15)+2*(7/4*sqrt(3)-3/4*sqrt(15)+1/4*sqrt(-762+114*sqrt(3)*sqrt(
15)))*sqrt(3)+6-sqrt(3)*sqrt(15),
7/4*sqrt(3)-3/4*sqrt(15)+1/4*sqrt(-762+114*sqrt(3)*sqrt(15))],
[3/16*sqrt(3)*sqrt(15)-17/16+1/16*sqrt(1350+170*sqrt(3)*sqrt(15)),
(3/16*sqrt(3)*sqrt(15)+15/16+1/16*sqrt(1350+170*sqrt(3)*sqrt(15)))
/(2*sqrt(3)+sqrt(15))], [1/6*sqrt(3)*sqrt(15)+1/3*sqrt(6),
5/6*sqrt(3)+1/3*sqrt(15)*sqrt(6)],
[3/19*sqrt(6)-15/19+1/57*sqrt(7983-1038*sqrt(6)),
1/15*(-20/19*sqrt(6)-33/19+2/19*sqrt(7983-1038*sqrt(6))+(3/19*sqrt
(6)-15/19+1/57*sqrt(7983-1038*sqrt(6)))*sqrt(6))*sqrt(3)],
[-17/12+7/12*sqrt(6)+1/12*sqrt(1003-358*sqrt(6)),
1/15*(-51/4+1/4*sqrt(6)+3/4*sqrt(1003-358*sqrt(6))+4*(-17/12+7/12*
sqrt(6)+1/12*sqrt(1003-358*sqrt(6)))*sqrt(6))*sqrt(3)],
[1+2/3*sqrt(6), 2/3*sqrt(3)], [4/9*sqrt(6)+7/3,
-4/9*sqrt(3)*(sqrt(6)-4)],
[-11/57*sqrt(6)-7/19+1/57*sqrt(-2937+3882*sqrt(6)),
1/15*(92/19*sqrt(6)-213/19+2/19*sqrt(-2937+3882*sqrt(6))+(-11/57*s
qrt(6)-7/19+1/57*sqrt(-2937+3882*sqrt(6)))*sqrt(6))*sqrt(3)],
[7/12*sqrt(6)-7/4+1/12*sqrt(963-318*sqrt(6)),
1/15*(33/4*sqrt(6)-111/4+3/4*sqrt(963-318*sqrt(6))+4*(7/12*sqrt(6)
-7/4+1/12*sqrt(963-318*sqrt(6)))*sqrt(6))*sqrt(3)],
[-1/12*sqrt(3)*sqrt(15)+1/12*sqrt(3)*sqrt(6)*sqrt(15)+5/4+1/12*sqr
t(6),
1/12*sqrt(3)-1/12*sqrt(3)*sqrt(6)+1/4*sqrt(15)+1/12*sqrt(15)*sqrt(
6)],
[5/108*sqrt(3)*sqrt(6)*sqrt(15)-1/36*sqrt(6)-5/36*sqrt(3)*sqrt(15)
+19/36+1/108*sqrt(42858+5238*sqrt(3)*sqrt(15)+4572*sqrt(6)+1092*sq
rt(3)*sqrt(6)*sqrt(15)),
9/23*sqrt(3)*(5/108*sqrt(3)*sqrt(6)*sqrt(15)-1/36*sqrt(6)-5/36*sqr
t(3)*sqrt(15)+19/36+1/108*sqrt(42858+5238*sqrt(3)*sqrt(15)+4572*sq
rt(6)+1092*sqrt(3)*sqrt(6)*sqrt(15)))-2/23*sqrt(3)-8/69*sqrt(3)*(5
/108*sqrt(3)*sqrt(6)*sqrt(15)-1/36*sqrt(6)-5/36*sqrt(3)*sqrt(15)+1
9/36+1/108*sqrt(42858+5238*sqrt(3)*sqrt(15)+4572*sqrt(6)+1092*sqrt
(3)*sqrt(6)*sqrt(15)))*sqrt(6)-11/69*sqrt(3)*sqrt(6)+13/23*sqrt(15
)-3/23*sqrt(15)*sqrt(6)], [23/9-10/27*sqrt(6),
10/27*sqrt(3)*(5+sqrt(6))],
[-15/19-3/19*sqrt(6)+1/57*sqrt(7983+1038*sqrt(6)),
-1/15*(33/19-20/19*sqrt(6)-2/19*sqrt(7983+1038*sqrt(6))+(-15/19-3/
19*sqrt(6)+1/57*sqrt(7983+1038*sqrt(6)))*sqrt(6))*sqrt(3)],
[-2/9*sqrt(6)-1/18+1/18*sqrt(1537+8*sqrt(6)),
1/69*sqrt(3)*(75/2+26*sqrt(6)+3/2*sqrt(1537+8*sqrt(6))+8*sqrt(6)*(
-2/9*sqrt(6)-1/18+1/18*sqrt(1537+8*sqrt(6))))],
[-17/12-7/12*sqrt(6)+1/12*sqrt(1003+358*sqrt(6)),
-1/15*(51/4+1/4*sqrt(6)-3/4*sqrt(1003+358*sqrt(6))+4*(-17/12-7/12*
sqrt(6)+1/12*sqrt(1003+358*sqrt(6)))*sqrt(6))*sqrt(3)],
[3/4+1/12*sqrt(333-12*sqrt(6)),
1/30*sqrt(3)*(-15/2+1/2*sqrt(333-12*sqrt(6))+2*sqrt(6)*(3/2+1/6*sq
rt(333-12*sqrt(6)))+2*sqrt(6))], [5/9+2/9*sqrt(76+9*sqrt(6)),
1/69*sqrt(3)*(16*sqrt(6)+6*sqrt(76+9*sqrt(6))+8*sqrt(6)*(5/9+2/9*s
qrt(76+9*sqrt(6))))], [4/9*sqrt(6)+7/3,
2/9*sqrt(3)*(1+2*sqrt(6))], [-5/19+16/57*sqrt(6),
-4/57*sqrt(3)*(sqrt(6)-14)],
[3/4-1/3*sqrt(6)+1/12*sqrt(-147+108*sqrt(6)),
1/15*(81/4-4*sqrt(6)+1/4*sqrt(-147+108*sqrt(6))+2*(3/4-1/3*sqrt(6)
+1/12*sqrt(-147+108*sqrt(6)))*sqrt(6))*sqrt(3)], [7/3-4/9*sqrt(6),
4/9*sqrt(3)*(sqrt(6)+4)],
[1/6*sqrt(3)*(-13/38*sqrt(3)+2/57*sqrt(15)*sqrt(6)+13/38*sqrt(15)2/57*sqrt(3)*sqrt(6)+1/57*sqrt(1377-42*sqrt(3)*sqrt(6)*sqrt(15)+30
3*sqrt(3)*sqrt(15)-534*sqrt(6)))*sqrt(6)+1/4*sqrt(6)-1/12*sqrt(3)*
sqrt(6)*sqrt(15)+sqrt(3)*(-13/38*sqrt(3)+2/57*sqrt(15)*sqrt(6)+13/
38*sqrt(15)-2/57*sqrt(3)*sqrt(6)+1/57*sqrt(1377-42*sqrt(3)*sqrt(6)
*sqrt(15)+303*sqrt(3)*sqrt(15)-534*sqrt(6)))+1/2-1/2*sqrt(3)*sqrt(
15),
-13/38*sqrt(3)+2/57*sqrt(15)*sqrt(6)+13/38*sqrt(15)-2/57*sqrt(3)*s
qrt(6)+1/57*sqrt(1377-42*sqrt(3)*sqrt(6)*sqrt(15)+303*sqrt(3)*sqrt
(15)-534*sqrt(6))],
[19/36+1/36*sqrt(6)-5/36*sqrt(3)*sqrt(15)-5/108*sqrt(3)*sqrt(6)*sq
rt(15)+1/108*sqrt(42858-4572*sqrt(6)+5238*sqrt(3)*sqrt(15)-1092*sq
rt(3)*sqrt(6)*sqrt(15)),
9/23*sqrt(3)*(19/36+1/36*sqrt(6)-5/36*sqrt(3)*sqrt(15)-5/108*sqrt(
3)*sqrt(6)*sqrt(15)+1/108*sqrt(42858-4572*sqrt(6)+5238*sqrt(3)*sqr
t(15)-1092*sqrt(3)*sqrt(6)*sqrt(15)))-2/23*sqrt(3)+8/69*sqrt(3)*(1
9/36+1/36*sqrt(6)-5/36*sqrt(3)*sqrt(15)-5/108*sqrt(3)*sqrt(6)*sqrt
(15)+1/108*sqrt(42858-4572*sqrt(6)+5238*sqrt(3)*sqrt(15)-1092*sqrt
(3)*sqrt(6)*sqrt(15)))*sqrt(6)+11/69*sqrt(3)*sqrt(6)+13/23*sqrt(15
)+3/23*sqrt(15)*sqrt(6)],
[1/12*sqrt(3)*sqrt(15)+1/12*sqrt(3)*sqrt(6)*sqrt(15)+5/4-1/12*sqrt
(6),
1/12*sqrt(3)+1/12*sqrt(3)*sqrt(6)-1/4*sqrt(15)+1/12*sqrt(15)*sqrt(
6)],
[19/36+5/36*sqrt(3)*sqrt(15)+5/108*sqrt(3)*sqrt(6)*sqrt(15)+1/36*s
qrt(6)+1/108*sqrt(42858-5238*sqrt(3)*sqrt(15)+1092*sqrt(3)*sqrt(6)
*sqrt(15)-4572*sqrt(6)),
9/23*sqrt(3)*(19/36+5/36*sqrt(3)*sqrt(15)+5/108*sqrt(3)*sqrt(6)*sq
rt(15)+1/36*sqrt(6)+1/108*sqrt(42858-5238*sqrt(3)*sqrt(15)+1092*sq
rt(3)*sqrt(6)*sqrt(15)-4572*sqrt(6)))-2/23*sqrt(3)+8/69*sqrt(3)*(1
9/36+5/36*sqrt(3)*sqrt(15)+5/108*sqrt(3)*sqrt(6)*sqrt(15)+1/36*sqr
t(6)+1/108*sqrt(42858-5238*sqrt(3)*sqrt(15)+1092*sqrt(3)*sqrt(6)*s
qrt(15)-4572*sqrt(6)))*sqrt(6)+11/69*sqrt(3)*sqrt(6)-13/23*sqrt(15
)-3/23*sqrt(15)*sqrt(6)],
[29/12-1/3*sqrt(6)+1/12*sqrt(-7067+2988*sqrt(6)),
1/15*(181/4-24*sqrt(6)+1/4*sqrt(-7067+2988*sqrt(6))+2*(29/12-1/3*s
qrt(6)+1/12*sqrt(-7067+2988*sqrt(6)))*sqrt(6))*sqrt(3)],
[23/9+10/27*sqrt(6), -10/27*sqrt(3)*(-5+sqrt(6))],
[-7/6+1/6*sqrt(609), -1/9*sqrt(3)*(-33/2+1/2*sqrt(609))],
[-1+2/3*sqrt(6), 2/3*sqrt(3)*(2+sqrt(6))], [5/4+1/4*sqrt(69),
1/6*sqrt(3)*(-3/2+1/2*sqrt(69))], [3/4+1/4*sqrt(3)*sqrt(15),
3/4*sqrt(15)+3/4*sqrt(3)],
[17/16+3/16*sqrt(3)*sqrt(15)+1/16*sqrt(1350-170*sqrt(3)*sqrt(15)),
(-15/16+3/16*sqrt(3)*sqrt(15)+1/16*sqrt(1350-170*sqrt(3)*sqrt(15))
)/(-2*sqrt(3)+sqrt(15))],
[2+7/12*sqrt(6)-1/12*sqrt(3)*sqrt(15)-1/12*sqrt(3)*sqrt(6)*sqrt(15
)+1/36*sqrt(-8055-3870*sqrt(6)+570*sqrt(3)*sqrt(6)*sqrt(15)+1620*s
qrt(3)*sqrt(15)),
1/5*sqrt(15)*(2+7/12*sqrt(6)-1/12*sqrt(3)*sqrt(15)-1/12*sqrt(3)*sq
rt(6)*sqrt(15)+1/36*sqrt(-8055-3870*sqrt(6)+570*sqrt(3)*sqrt(6)*sq
rt(15)+1620*sqrt(3)*sqrt(15)))-11/15*sqrt(15)-14/45*sqrt(15)*sqrt(
6)+2/3*sqrt(3)+2/3*sqrt(3)*sqrt(6)],
[1/3*sqrt(15)*(5/12*sqrt(3)-5/12*sqrt(3)*sqrt(6)-1/3*sqrt(15)+7/36
*sqrt(15)*sqrt(6)+1/12*sqrt(-537+258*sqrt(6)+108*sqrt(3)*sqrt(15)38*sqrt(3)*sqrt(6)*sqrt(15)))-14/9*sqrt(6)+11/3+2/9*sqrt(3)*sqrt(6
)*sqrt(15)-2/9*sqrt(3)*sqrt(15),
5/12*sqrt(3)-5/12*sqrt(3)*sqrt(6)-1/3*sqrt(15)+7/36*sqrt(15)*sqrt(
6)+1/12*sqrt(-537+258*sqrt(6)+108*sqrt(3)*sqrt(15)-38*sqrt(3)*sqrt
(6)*sqrt(15))], [11/3+4/3*sqrt(6), 2/9*sqrt(3)*(-3+2*sqrt(6))],
[17/12+7/12*sqrt(6)+1/12*sqrt(1003+358*sqrt(6)),
1/15*(-51/4-1/4*sqrt(6)-3/4*sqrt(1003+358*sqrt(6))+4*(17/12+7/12*s
qrt(6)+1/12*sqrt(1003+358*sqrt(6)))*sqrt(6))*sqrt(3)],
[-1+2/3*sqrt(6), 2/3*sqrt(3)], [54/19+2/57*sqrt(6),
1/57*sqrt(3)*(-7+10*sqrt(6))],
[-3/4+1/3*sqrt(6)+1/12*sqrt(-147+108*sqrt(6)),
-1/15*(-81/4+4*sqrt(6)+1/4*sqrt(-147+108*sqrt(6))+2*(-3/4+1/3*sqrt
(6)+1/12*sqrt(-147+108*sqrt(6)))*sqrt(6))*sqrt(3)],
[-5/4+1/12*sqrt(3)*sqrt(15)+1/12*sqrt(3)*sqrt(6)*sqrt(15)+1/12*sqr
t(6),
1/12*sqrt(3)+1/12*sqrt(3)*sqrt(6)+1/4*sqrt(15)-1/12*sqrt(15)*sqrt(
6)],
[-1/2-1/6*sqrt(3)*(-13/38*sqrt(3)+2/57*sqrt(15)*sqrt(6)+13/38*sqrt
(15)-2/57*sqrt(3)*sqrt(6)-1/57*sqrt(1377-42*sqrt(3)*sqrt(6)*sqrt(1
5)+303*sqrt(3)*sqrt(15)-534*sqrt(6)))*sqrt(6)-1/4*sqrt(6)+1/12*sqr
t(3)*sqrt(6)*sqrt(15)-sqrt(3)*(-13/38*sqrt(3)+2/57*sqrt(15)*sqrt(6
)+13/38*sqrt(15)-2/57*sqrt(3)*sqrt(6)-1/57*sqrt(1377-42*sqrt(3)*sq
rt(6)*sqrt(15)+303*sqrt(3)*sqrt(15)-534*sqrt(6)))+1/2*sqrt(3)*sqrt
(15),
-13/38*sqrt(3)+2/57*sqrt(15)*sqrt(6)+13/38*sqrt(15)-2/57*sqrt(3)*s
qrt(6)-1/57*sqrt(1377-42*sqrt(3)*sqrt(6)*sqrt(15)+303*sqrt(3)*sqrt
(15)-534*sqrt(6))],
[-19/36-1/36*sqrt(6)+5/36*sqrt(3)*sqrt(15)+5/108*sqrt(3)*sqrt(6)*s
qrt(15)+1/108*sqrt(42858-4572*sqrt(6)+5238*sqrt(3)*sqrt(15)-1092*s
qrt(3)*sqrt(6)*sqrt(15)),
-9/23*sqrt(3)*(-19/36-1/36*sqrt(6)+5/36*sqrt(3)*sqrt(15)+5/108*sqr
t(3)*sqrt(6)*sqrt(15)+1/108*sqrt(42858-4572*sqrt(6)+5238*sqrt(3)*s
qrt(15)-1092*sqrt(3)*sqrt(6)*sqrt(15)))-2/23*sqrt(3)-8/69*sqrt(3)*
(-19/36-1/36*sqrt(6)+5/36*sqrt(3)*sqrt(15)+5/108*sqrt(3)*sqrt(6)*s
qrt(15)+1/108*sqrt(42858-4572*sqrt(6)+5238*sqrt(3)*sqrt(15)-1092*s
qrt(3)*sqrt(6)*sqrt(15)))*sqrt(6)+11/69*sqrt(3)*sqrt(6)+13/23*sqrt
(15)+3/23*sqrt(15)*sqrt(6)],
[43/12+1/12*sqrt(3)*sqrt(15)-1/18*sqrt(3)*sqrt(6)*sqrt(15)+7/6*sqr
t(6),
-7/12*sqrt(3)+7/18*sqrt(3)*sqrt(6)+1/12*sqrt(15)+1/6*sqrt(15)*sqrt
(6)], [1/3*sqrt(6), 1/3*sqrt(3)*(-1+sqrt(6))],
[5/19+16/57*sqrt(6), 4/57*sqrt(3)*(sqrt(6)+14)],
[-1/2+1/6*sqrt(3)*(13/38*sqrt(15)-2/57*sqrt(15)*sqrt(6)-13/38*sqrt
(3)+2/57*sqrt(3)*sqrt(6)+1/57*sqrt(1377+534*sqrt(6)+303*sqrt(3)*sq
rt(15)+42*sqrt(3)*sqrt(6)*sqrt(15)))*sqrt(6)+1/4*sqrt(6)-1/12*sqrt
(3)*sqrt(6)*sqrt(15)-sqrt(3)*(13/38*sqrt(15)-2/57*sqrt(15)*sqrt(6)
-13/38*sqrt(3)+2/57*sqrt(3)*sqrt(6)+1/57*sqrt(1377+534*sqrt(6)+303
*sqrt(3)*sqrt(15)+42*sqrt(3)*sqrt(6)*sqrt(15)))+1/2*sqrt(3)*sqrt(1
5),
13/38*sqrt(15)-2/57*sqrt(15)*sqrt(6)-13/38*sqrt(3)+2/57*sqrt(3)*sq
rt(6)+1/57*sqrt(1377+534*sqrt(6)+303*sqrt(3)*sqrt(15)+42*sqrt(3)*s
qrt(6)*sqrt(15))], [1, 2*sqrt(3)], [2/3*sqrt(6),
1/3*sqrt(3)*(1+2*sqrt(6))], [1/2+1/6*sqrt(33),
1/3*sqrt(3)*(5/2+1/2*sqrt(33))], [-1/4+3/4*sqrt(5),
-1/6*sqrt(3)*(-9/2+3/2*sqrt(5))], [1/4+3/4*sqrt(5),
1/6*sqrt(3)*(9/2+3/2*sqrt(5))],
[1/2*sqrt(3)*(-1/2*sqrt(3)+1/2*sqrt(39)),
-1/4*sqrt(3)+1/4*sqrt(39)], [1/4+1/4*sqrt(33),
1/4*sqrt(22+6*sqrt(33))], [-1/2+1/6*sqrt(33),
1/6*sqrt(3)*(7+sqrt(33))], [-1/2+1/2*sqrt(33),
1/2*sqrt(-26+6*sqrt(33))], [1/2+1/6*sqrt(33),
-1/6*sqrt(3)*(sqrt(33)-7)],
[15/8-5/24*sqrt(33)-1/24*sqrt(-6870+1206*sqrt(33)),
-1/6*(117/8-29/8*sqrt(33)-1/8*sqrt(-6870+1206*sqrt(33))+(15/8-5/24
*sqrt(33)-1/24*sqrt(-6870+1206*sqrt(33)))*sqrt(33))*sqrt(3)],
[-1/4*sqrt(33)+11/4+1/12*sqrt(-78+18*sqrt(33)),
1/3*sqrt(3)*(12-3*sqrt(33)+sqrt(33)*(-1/4*sqrt(33)+11/4+1/12*sqrt(
-78+18*sqrt(33))))], [-7/6+5/18*sqrt(33),
5/18*sqrt(3)*sqrt(33)-11/18*sqrt(3)], [5/3,
1/9*sqrt(3)*(9+sqrt(33))], [1/18*sqrt(33)+31/18,
-1/54*sqrt(3)*(-39+sqrt(33))],
[-5/4+1/12*sqrt(3)*(-2/3*sqrt(3)+1/9*sqrt(3)*sqrt(33)+2/3*sqrt(2+s
qrt(33)))*sqrt(33)-1/4*sqrt(3)*(-2/3*sqrt(3)+1/9*sqrt(3)*sqrt(33)+
2/3*sqrt(2+sqrt(33)))+5/12*sqrt(33),
-2/3*sqrt(3)+1/9*sqrt(3)*sqrt(33)+2/3*sqrt(2+sqrt(33))],
[2/9*sqrt(33), 17/9*sqrt(3)], [1/3*sqrt(33), 4/3*sqrt(3)], [13/9,
-1/27*sqrt(3)*(-27+sqrt(33))], [-3/2+1/2*sqrt(33),
1/6*sqrt(3)*(3+sqrt(33))],
[-3/2+1/3*sqrt(33)+1/12*sqrt(-2406+426*sqrt(33)),
-1/24*(-72+9*sqrt(33)+1/2*sqrt(-2406+426*sqrt(33))+2*(-3/2+1/3*sqr
t(33)+1/12*sqrt(-2406+426*sqrt(33)))*sqrt(33))*sqrt(3)],
[11/4-1/4*sqrt(33)+1/12*sqrt(-366+114*sqrt(33)),
1/24*sqrt(3)*(153/4-19/4*sqrt(33)-3/4*sqrt(-366+114*sqrt(33))+sqrt
(33)*(11/4-1/4*sqrt(33)+1/12*sqrt(-366+114*sqrt(33))))],
[-5/4+3/4*sqrt(13), 1/6*sqrt(3)*(3/2+3/2*sqrt(13))],
[-3/8+1/8*sqrt(33)+1/8*sqrt(66+18*sqrt(33)),
-1/6*sqrt(3)*(-3/4*sqrt(33)-15/4+1/4*sqrt(66+18*sqrt(33)))],
[-2+5/9*sqrt(33), 2/9*sqrt(3)], [13/9,
1/27*sqrt(3)*(27+sqrt(33))], [7/3+1/9*sqrt(33),
1/9*sqrt(3)*(sqrt(33)-4)],
[-17/12+1/4*sqrt(33)+1/12*sqrt(274+50*sqrt(33)),
1/3*(-11/2+3/2*sqrt(33)-1/2*sqrt(274+50*sqrt(33))+(-17/12+1/4*sqrt
(33)+1/12*sqrt(274+50*sqrt(33)))*sqrt(33))*sqrt(3)],
[-3/4+1/4*sqrt(33)+1/4*sqrt(-78+18*sqrt(33)),
-1/3*sqrt(3)*(-3/4-3/4*sqrt(33)+1/4*sqrt(-78+18*sqrt(33)))],
[-1/2+1/6*sqrt(33), 1/6*sqrt(3)*(11+sqrt(33))],
[17/12-1/4*sqrt(33)+1/12*sqrt(274+50*sqrt(33)),
-1/3*(11/2-3/2*sqrt(33)-1/2*sqrt(274+50*sqrt(33))+(17/12-1/4*sqrt(
33)+1/12*sqrt(274+50*sqrt(33)))*sqrt(33))*sqrt(3)],
[2/3*sqrt(-15+3*sqrt(33)),
1/24*sqrt(3)*(-36+4*sqrt(33)+6*sqrt(-15+3*sqrt(33))+2/3*sqrt(33)*s
qrt(-15+3*sqrt(33)))],
[27/8-13/24*sqrt(33)+1/24*sqrt(-30+78*sqrt(33)),
-1/6*(69/2-13/2*sqrt(33)-1/2*sqrt(-30+78*sqrt(33))+2*(27/8-13/24*s
qrt(33)+1/24*sqrt(-30+78*sqrt(33)))*sqrt(33))*sqrt(3)],
[2+5/9*sqrt(33), 2/9*sqrt(3)], [1/2+1/12*sqrt(234-6*sqrt(33)),
1/24*sqrt(3)*(-6+sqrt(33)+1/2*sqrt(234-6*sqrt(33))+sqrt(33)*(1+1/6
*sqrt(234-6*sqrt(33))))],
[5/18-1/18*sqrt(33)+1/18*sqrt(274-46*sqrt(33)),
1/6*(21/2-1/2*sqrt(33)+3/2*sqrt(274-46*sqrt(33))+5*(5/18-1/18*sqrt
(33)+1/18*sqrt(274-46*sqrt(33)))*sqrt(33))*sqrt(3)],
[19/12-1/12*sqrt(33)+1/12*sqrt(-158+66*sqrt(33)),
1/12*(47/4-13/4*sqrt(33)+1/4*sqrt(-158+66*sqrt(33))+(19/12-1/12*sq
rt(33)+1/12*sqrt(-158+66*sqrt(33)))*sqrt(33))*sqrt(3)],
[23/9-8/27*sqrt(33), 8/27*sqrt(3)*(sqrt(33)+4)],
[5/6+5/18*sqrt(33), 5/18*sqrt(3)*(sqrt(33)+5)],
[-11/4+1/4*sqrt(33)+1/12*sqrt(-366+114*sqrt(33)),
-1/24*sqrt(3)*(-153/4+19/4*sqrt(33)-3/4*sqrt(-366+114*sqrt(33))+sq
rt(33)*(-11/4+1/4*sqrt(33)+1/12*sqrt(-366+114*sqrt(33))))],
[3/2-1/3*sqrt(33)+1/12*sqrt(-2406+426*sqrt(33)),
1/24*(72-9*sqrt(33)+1/2*sqrt(-2406+426*sqrt(33))+2*(3/2-1/3*sqrt(3
3)+1/12*sqrt(-2406+426*sqrt(33)))*sqrt(33))*sqrt(3)], [5,
2*sqrt(3)], [7/4+3/4*sqrt(5), -1/6*sqrt(3)*(-9/2+3/2*sqrt(5))],
[7/4-3/4*sqrt(5), -1/6*sqrt(3)*(-9/2-3/2*sqrt(5))], [5/7,
8/7*sqrt(3)], [1/2*(1/2*sqrt(3)+1/2*sqrt(39))*sqrt(3),
1/4*sqrt(3)+1/4*sqrt(39)],
[-9/8+1/8*sqrt(33)+1/24*sqrt(522-42*sqrt(33)),
1/6*(-51/8+11/8*sqrt(33)+1/8*sqrt(522-42*sqrt(33))+(-9/8+1/8*sqrt(
33)+1/24*sqrt(522-42*sqrt(33)))*sqrt(33))*sqrt(3)], [5/9*sqrt(33),
2/9*sqrt(3)], [15/8-5/24*sqrt(33)+1/24*sqrt(-6870+1206*sqrt(33)),
1/6*(117/8-29/8*sqrt(33)+1/8*sqrt(-6870+1206*sqrt(33))+(15/8-5/24*
sqrt(33)+1/24*sqrt(-6870+1206*sqrt(33)))*sqrt(33))*sqrt(3)],
[-1/4*sqrt(33)+11/4-1/12*sqrt(-78+18*sqrt(33)),
-1/3*sqrt(3)*(12-3*sqrt(33)+sqrt(33)*(-1/4*sqrt(33)+11/4-1/12*sqrt
(-78+18*sqrt(33))))], [1/2+1/2*sqrt(33),
1/6*sqrt(3)*(3+sqrt(33))], [16/27*sqrt(33), 37/27*sqrt(3)],
[-5/4+1/4*sqrt(3)*(2/3*sqrt(3)-1/9*sqrt(3)*sqrt(33)+2/3*sqrt(2+sqr
t(33)))-1/12*sqrt(3)*(2/3*sqrt(3)-1/9*sqrt(3)*sqrt(33)+2/3*sqrt(2+
sqrt(33)))*sqrt(33)+5/12*sqrt(33),
2/3*sqrt(3)-1/9*sqrt(3)*sqrt(33)+2/3*sqrt(2+sqrt(33))],
[-1/2+1/6*sqrt(105), 1/3*sqrt(3)*(7/2+1/2*sqrt(105))],
[165/74-5/222*sqrt(33), 1/222*sqrt(3)*(13+35*sqrt(33))],
[61/444*sqrt(33)+251/444-1/444*sqrt(120082+8718*sqrt(33)),
-1/24*(-357/148*sqrt(33)-4099/148+1/148*sqrt(120082+8718*sqrt(33))
+5*(61/444*sqrt(33)+251/444-1/444*sqrt(120082+8718*sqrt(33)))*sqrt
(33))*sqrt(3)], [11/37+25/111*sqrt(33),
5/111*sqrt(3)*(13+2*sqrt(33))], [-7/6+5/18*sqrt(33),
5/18*sqrt(3)*(sqrt(33)+5)],
[-5/12-1/12*sqrt(33)+1/12*sqrt(-158+66*sqrt(33)),
1/12*(47/4-5/4*sqrt(33)+1/4*sqrt(-158+66*sqrt(33))+(-5/12-1/12*sqr
t(33)+1/12*sqrt(-158+66*sqrt(33)))*sqrt(33))*sqrt(3)],
[251/444-61/444*sqrt(33)+1/444*sqrt(120082-8718*sqrt(33)),
1/24*(4099/148-357/148*sqrt(33)+1/148*sqrt(120082-8718*sqrt(33))+5
*(251/444-61/444*sqrt(33)+1/444*sqrt(120082-8718*sqrt(33)))*sqrt(3
3))*sqrt(3)]];
⎡
⎢
⎢
⎡1 1
⎤
fivecircles := ⎢⎢ [ 1, 0 ], [ 0, 3 ], [ 2, 3 ], [ 3, 0 ], [ 3, 2 3 ], ⎢⎢ ,
15 ⎥⎥, [ 0, 3 3 ],
⎣2 2
⎦
⎣
⎡
2
1
⎤ ⎡ 1 1
1
⎛ 1 1
⎞ ⎤ ⎡ 18 5
⎤
⎢⎢ 1 +
6,
3 ( 2 + 2 6 ) ⎥⎥, ⎢⎢ − +
33 ,
3 ⎜⎜ − +
33 ⎟⎟ ⎥⎥, ⎢⎢ ,
3 ⎥⎥,
⎣
3
3
⎦ ⎣ 2 6
3
⎝ 2 2
⎠⎦ ⎣ 7 7
⎦
1
⎡
⎤ ⎡6 3
⎤ ⎡ 5 1
⎢⎢ −2 + 2 6 ,
3 ( −3 + 2 6 ) ⎥⎥, ⎢⎢ ,
3 ⎥⎥, ⎢⎢ − +
3
3
⎣
⎦ ⎣7 7
⎦ ⎣ 4 4
4
4
1
⎡
⎤ ⎡ 5
⎢⎢ 3 +
6,
3 ⎥⎥, ⎢⎢ − + 6 +
3
3
2
⎣
⎦ ⎣ 2
⎡5
1
⎢⎢ − 6 +
⎣2
2
−87 + 36 6 ,
−87 + 36 6 ,
15 ,
1
1
⎤
15 +
3 ⎥⎥,
4
4
⎦
1
1
⎛ 9
3 ⎜⎜ − + 3 6 −
3
2
⎝ 2
1
⎛ 9
1
3 ⎜⎜ − + 3 6 +
3
⎝ 2
2
⎞⎤
−87 + 36 6 ⎟⎟ ⎥⎥,
⎠⎦
⎞⎤
−87 + 36 6 ⎟⎟ ⎥⎥,
⎠⎦
⎡
2
2
⎤ ⎡ 3 3
1
⎛ 5 1
⎞⎤ ⎡3 1
⎤ ⎡
⎢⎢ −1 +
6,
3 ( −1 + 6 ) ⎥⎥, ⎢⎢ − +
5, −
15 ⎜⎜ − +
5 ⎟⎟ ⎥⎥, ⎢⎢ ,
15 ⎥⎥, ⎢⎢
⎣
3
3
⎦ ⎣ 4 4
10
⎝ 2 2
⎠⎦ ⎣2 2
⎦ ⎣
−
15 1
+
3
4 2
+
1 ⎛ 15 1
⎜⎜ −
3
+
3⎝ 4 2
15 +
1
4
−27 + 12 3
15 +
1
4
15 , −
2 ⎛ 15 1
⎜⎜ −
+
3
3⎝ 4 2
15 +
1
4
−27 + 12 3
⎤ ⎡7 7
⎤
⎞
15 ⎟⎟ 15 − 6 3 + 3 15 ⎥⎥, ⎢⎢ ,
15 ⎥⎥,
⎦ ⎣8 8
⎦
⎠
−27 + 12 3
⎡1 5
1
⎛5 5
⎞ ⎤ ⎡ 23 3
⎢⎢ +
3,
15 ⎜⎜ +
3 ⎟⎟ ⎥⎥, ⎢⎢ −
+
3
⎣2 6
15
⎝2 2
⎠⎦ ⎣ 8 8
15 +
1
8
54 + 38 3
15 ,
−
2 ⎛ 23 3
⎜⎜ −
3
+
3⎝ 8 8
15 +
1
8
54 + 38 3
⎞
15 ⎟⎟ 3
⎠
+
1 ⎛ 23 3
⎜⎜ −
3
+
3⎝ 8 8
15 +
1
8
54 + 38 3
⎤
⎞
14
7
15 ⎟⎟ 15 −
3+
15 ⎥⎥,
⎦
⎠
3
3
3
1
⎡5
⎛ 195 21
⎞⎤ ⎡5 1
⎢⎢ +
145 ,
15 ⎜⎜
+
145 ⎟⎟ ⎥⎥, ⎢⎢ +
3
15
⎣ 32 32
⎝ 32 32
⎠⎦ ⎣4 4
29
13
1
⎡
⎢
3
−
15
+
−762 + 114 3
⎢
4
4
⎢ −3 4
⎢
2 3 − 15
⎣
17 7
3
+
64 64
15 +
1
64
5310 + 750 3
7
⎛ 17 7
15 ⎜⎜ +
3
15
⎝ 64 64
15 +
⎡
1
1
⎢⎢ 1 +
10 ,
15
⎣
2
10
⎤ ⎡3 1
10 ⎥⎥, ⎢⎢ +
3
⎦ ⎣4 4
1
64
⎞
15 ⎟⎟ 3
⎠
15
,−
15 ,
1
1
⎤
15 −
3 ⎥⎥,
4
4
⎦
7
3
1
3+
15 +
4
4
4
−762 + 114 3
15 ,
5310 + 750 3
15 , −
⎞ 4
⎤
15 ⎟⎟ +
15 − 3 ⎥⎥,
⎠ 15
⎦
⎤
5
3
3+
15 ⎥⎥, [ 2, 15 ],
⎦
4
4
⎤
⎥
⎥ ⎡
15 ⎥⎥, ⎢⎢
⎦ ⎣
⎛ 25 1
⎞ ⎤ ⎡ 17 3
⎡ 13 1
1
⎢⎢ +
1065 ,
15 ⎜⎜ −
+
1065 ⎟⎟ ⎥⎥, ⎢⎢ −
3
⎝ 4 4
⎠ ⎦ ⎣ 16 16
⎣ 8 24
30
15 +
1
16
1350 + 170 3
15 ,
−
2 ⎛ 17 3
⎜⎜ −
3
3 ⎝ 16 16
15 +
1
16
1350 + 170 3
⎞
15 ⎟⎟ 3
⎠
+
1 ⎛ 17 3
⎜⎜ −
3
3 ⎝ 16 16
15 +
1
16
1350 + 170 3
⎞
4
2
⎤ ⎡ 89 33
⎤
15 ⎟⎟ 15 +
3−
15 ⎥⎥, ⎢⎢ ,
15 ⎥⎥,
⎠
3
3
⎦ ⎣ 32 32
⎦
⎡ 31 17
7
⎢⎢ +
6+
3
⎣ 16 48
48
15 +
7
3
48
6
15 ,
7
7
15 −
15
16
48
6+
⎤
6 ⎥⎥,
⎦
17
17
3+
3
48
48
⎡3 1
⎤ ⎡ 13 1
1
⎛ 25 1
⎞⎤ ⎡
⎢⎢ ,
15 ⎥⎥, ⎢⎢ −
1065 , −
15 ⎜⎜ −
1065 ⎟⎟ ⎥⎥, ⎢⎢
−
⎣4 4
⎦ ⎣ 8 24
30
⎝ 4 4
⎠⎦ ⎣
17 3
+
3
16 16
15 −
1
16
1350 − 170 3
15 ,
−
1 ⎛ 17 3
⎜⎜ +
3
3 ⎝ 16 16
15 −
1
16
1350 − 170 3
⎞
15 ⎟⎟ 15
⎠
−
2 ⎛ 17 3
⎜⎜ +
3
3 ⎝ 16 16
15 −
1
16
1350 − 170 3
⎞
2
4
⎤ ⎡ 1
⎛ 5
15 ⎟⎟ 3 +
15 +
3 ⎥⎥, ⎢⎢ −
15 ⎜⎜ −
3
⎠
3
3
⎦ ⎣ 3
⎝ 12
+
1
5
15 −
3
3
12
6+
+
11 14
2
+
6−
3
3
9
9
+
1
12
7
15
36
6
−537 + 108 3
⎡1
⎢⎢
3
⎣6
15 −
15 −
6+
2
3
9
1
24
+
1
3
24
+
11
14
15 −
15
15
45
−10350 − 660 3
15 +
6
7
1
6+
24
24
1
⎛ 15
1
3 ⎜⎜ − 2 6 +
30
⎝2
2
−537 + 108 3
15 , −
6+
15 − 258 6 + 38 3
5
1
5
3+
15 −
3
12
3
12
15 − 258 6 + 38 3
1
5
1
6, −
3+
15
3
6
3
+
1
12
6+
7
15
36
6
15 −
13 1
+
3
8 24
15 + 4500 6 + 1710 3
15 ,
1
⎛ 1
15 ⎜⎜ −
3
15
⎝ 24
2
3
3
6−
6
⎤
15 ⎥⎥,
⎦
6
⎤ ⎡ 1
6 ⎥⎥, ⎢⎢ −
3
⎦ ⎣ 24
−10350 − 660 3
⎞
15 ⎟⎟
⎠
6
6
15 + 4500 6 + 1710 3
2
⎤ ⎡ 3 1
3 ⎥⎥, ⎢⎢ − +
3
⎦ ⎣ 4 12
⎛ 3 1
333 − 12 6 + 2 6 ⎜⎜ − +
⎝ 2 6
15 +
7
6
24
6
15 −
⎞
15 ⎟⎟
⎠
333 − 12 6 ,
⎞⎞⎤
333 − 12 6 ⎟⎟ ⎟⎟ ⎥⎥,
⎠⎠⎦
4
⎡ 33 16
⎤
⎢⎢ +
6, −
3 ( 6 − 14 ) ⎥⎥,
57
⎣ 19 57
⎦
⎡ 5 2
⎢⎢ − +
⎣ 9 9
76 + 9 6 ,
⎛
1
3 ⎜⎜ −16 6 + 6
⎝
69
⎛ 5 2
76 + 9 6 + 8 6 ⎜⎜ − +
⎝ 9 9
⎞⎞⎤ ⎡
76 + 9 6 ⎟⎟ ⎟⎟ ⎥⎥, ⎢⎢
⎠⎠⎦ ⎣
13
8
15 3
1
+
6+
19 19
57
−
7983 + 1038 6 ,
1 ⎛ 33 20
2
⎜⎜ −
6−
+
15 ⎝ 19 19
19
⎡1 2
1
⎢⎢ +
6+
⎣ 18 9
18
⎛ 15 3
1
6+
7983 + 1038 6 + ⎜⎜ +
⎝ 19 19
57
1537 + 8 6 ,
⎛ 75
1
3
3 ⎜⎜ −
− 26 6 +
⎝ 2
69
2
⎛1 2
1
1537 + 8 6 + 8 6 ⎜⎜ +
6+
⎝ 18 9
18
⎡ 2 14
⎤ ⎡5 3
1
1
⎢⎢ −
6,
3 ( 49 + 6 6 ) ⎥⎥, ⎢⎢ +
6+
+
⎣ 19 57
⎦ ⎣4 4
57
12
−
1 ⎛ 117 15
3
⎜⎜ −
6−
−
15 ⎝ 4
4
4
7 7
1
+
6+
4 12
12
−
⎞
⎤ ⎡
⎞
1083 + 438 6 ⎟⎟ 6 ⎟⎟ 3 ⎥⎥, ⎢⎢
⎠
⎦ ⎣
⎠
963 + 318 6 ,
15 +
1
3
18
⎛7 7
1
963 + 318 6 + 4 ⎜⎜ +
6+
⎝ 4 12
12
6
15 +
7
7
7
6,
3−
3
6
12
18
⎡ 19 2
2
⎤ ⎡ 3 1
⎢⎢ +
6, −
3 ( −5 + 6 ) ⎥⎥, ⎢⎢ − +
⎣3 9
9
⎦ ⎣ 4 12
−
⎞⎞⎤
1537 + 8 6 ⎟⎟ ⎟⎟ ⎥⎥,
⎠⎠⎦
1083 + 438 6 ,
⎛5 3
1
1083 + 438 6 + 4 ⎜⎜ +
6+
⎝4 4
12
1
⎛ 111 33
3
3 ⎜⎜ −
6−
−
15
⎝ 4
4
4
⎡ 43 1
⎢⎢ −
3
⎣ 12 12
⎞
⎞
⎤
7983 + 1038 6 ⎟⎟ 6 ⎟⎟ 3 ⎥⎥,
⎠
⎠
⎦
⎛ 15
1
1
3 ⎜⎜ −
−2 6 −
⎝ 2
30
2
6+
⎞
⎞⎤
963 + 318 6 ⎟⎟ 6 ⎟⎟ ⎥⎥,
⎠
⎠⎦
1
1
15 +
15
12
6
⎤
6 ⎥⎥,
⎦
333 + 12 6 ,
⎛ 3 1
333 + 12 6 + 2 6 ⎜⎜ − +
⎝ 2 6
⎞⎞⎤
333 + 12 6 ⎟⎟ ⎟⎟ ⎥⎥,
⎠⎠⎦
⎡ 33 16
4
⎤
⎢⎢ −
6,
3 ( 6 + 14 ) ⎥⎥,
⎣ 19 57
57
⎦
⎡ 5 2
⎢⎢ − +
⎣ 9 9
76 − 9 6 , −
1
⎛
3 ⎜⎜ −16 6 − 6
69
⎝
⎛ 5 2
76 − 9 6 + 8 6 ⎜⎜ − +
⎝ 9 9
⎡ 11 4
2
⎤ ⎡ 15 3
1
⎢⎢ −
6,
3 ( 2 6 + 3 ) ⎥⎥, ⎢⎢ −
6+
⎣3 3
9
⎦ ⎣ 19 19
57
1 ⎛ 33 20
2
⎜⎜ +
6+
15 ⎝ 19 19
19
1 2
1
−
6+
18 9
18
−
7983 − 1038 6 ,
1
⎛ 15 3
7983 − 1038 6 + ⎜⎜ −
6+
57
⎝ 19 19
⎞
⎞
⎤ ⎡
7983 − 1038 6 ⎟⎟ 6 ⎟⎟ 3 ⎥⎥, ⎢⎢
⎠
⎠
⎦ ⎣
1537 − 8 6 ,
1
⎛ 75
3
3 ⎜⎜ − 26 6 −
69
⎝2
2
17 7
1
−
6+
12 12
12
⎞⎞⎤
76 − 9 6 ⎟⎟ ⎟⎟ ⎥⎥,
⎠⎠⎦
⎛1 2
1
1537 − 8 6 + 8 6 ⎜⎜ −
6+
⎝ 18 9
18
1003 − 358 6 ,
⎞⎞⎤ ⎡
1537 − 8 6 ⎟⎟ ⎟⎟ ⎥⎥, ⎢⎢
⎠⎠⎦ ⎣
⎛ 17 7
1
1003 − 358 6 + 4 ⎜⎜ −
6+
⎝ 12 12
12
1 ⎛ 51 1
3
⎜⎜ −
6+
15 ⎝ 4 4
4
⎡ 54 2
⎤ ⎡ 7 11
1
1
⎢⎢ −
6,
3 ( 7 + 10 6 ) ⎥⎥, ⎢⎢ +
6+
⎣ 19 57
⎦ ⎣ 19 57
57
57
1 ⎛ 213 92
2
⎜⎜
−
6+
15 ⎝ 19 19
19
1
⎛ 111 33
3
3 ⎜⎜
6+
−
15
⎝ 4
4
4
+
1
57
6−
6−
13
2
15 −
3
38
57
15 + 42 3
+
1
57
−
13
2
15 −
3
38
57
6+
−
5
3
108
1
5
6+
3
36
36
+
1
108
−
5
3
108
+
1
108
−
5
3
108
+
1
108
+
3
15
23
15 +
6
1
57
42858 + 5238 3
15 +
6
42858 + 5238 3
15 +
6
⎡ 43 1
⎢⎢ +
3
⎣ 12 12
1
1
⎞
15 ⎟⎟ 6 +
6−
3
4
12
⎠
6
⎞ 1 1
15 ⎟⎟ − +
3
⎠ 2 2
1377 + 534 6 + 303 3
6
⎛
15 + 3 ⎜⎜
⎝
15 + 42 3
15 ,
6
13
2
3+
15
38
57
⎤ ⎡ 19
15 ⎥⎥, ⎢⎢ −
⎦ ⎣ 36
15
15 + 4572 6 + 1092 3
9
⎛ 19
3 ⎜⎜ −
23
⎝ 36
6
15 ,
6
⎞ 2
8
⎛ 19
15 ⎟⎟ +
3−
3 ⎜⎜ −
⎠ 23
69
⎝ 36
6
⎞
11
15 ⎟⎟ 6 +
3
⎠
69
15
15 + 4572 6 + 1092 3
1
5
6+
3
36
36
42858 + 5238 3
6
6
15 + 42 3
1
5
6+
3
36
36
⎞
⎞⎤ ⎡ 1
3
963 − 318 6 ⎟⎟ 6 ⎟⎟ ⎥⎥, ⎢⎢ −
⎠
⎠⎦ ⎣ 6
6
13
2
15 −
3
38
57
1377 + 534 6 + 303 3
⎞
⎞
⎤
−2937 + 3882 6 ⎟⎟ 6 ⎟⎟ 3 ⎥⎥,
⎠
⎠
⎦
963 − 318 6 ,
⎛7 7
1
6+
963 − 318 6 + 4 ⎜⎜ −
⎝ 4 12
12
1377 + 534 6 + 303 3
13
2
3+
15
38
57
−2937 + 3882 6 ,
⎛ 7 11
1
−2937 + 3882 6 + ⎜⎜ +
6+
⎝ 19 57
57
⎡8
5
⎤ ⎡7 7
1
⎢⎢
6,
3 ⎥⎥, ⎢⎢ −
6+
⎣9
9
⎦ ⎣ 4 12
12
⎛ 13
2
⎜⎜
3+
15
⎝ 38
57
⎞
⎤
⎞
1003 − 358 6 ⎟⎟ 6 ⎟⎟ 3 ⎥⎥,
⎠
⎦
⎠
15
15 + 4572 6 + 1092 3
6−
13
15
23
⎤
6 ⎥⎥,
⎦
15 +
1
3
18
6
15 −
7
7
7
6,
3+
3
6
12
18
6−
1
1
15 +
15
12
6
⎤
6 ⎥⎥,
⎦
6
⎛ 3 1
⎞⎤ ⎡5 1
⎤
⎡ 19 2
2
⎤ ⎡ 1 1
1
1
1
⎢⎢ −
6,
3 ( 5 + 6 ) ⎥⎥, ⎢⎢ − +
33 ,
3 ⎜⎜ − +
33 ⎟⎟ ⎥⎥, ⎢⎢ +
33 ,
11 +
3 ⎥⎥,
⎝ 2 2
⎠⎦ ⎣2 6
⎦
⎣3 9
9
⎦ ⎣ 2 2
3
2
6
⎡
1
1
⎢⎢ 3 −
33 ,
⎣
3
3
⎤ ⎡
1
1
⎤
33 ,
3 ⎥⎥,
−33 + 12 33 ⎥⎥, ⎢⎢ 3 +
⎦ ⎣
3
3
⎦
⎡ 7 1
1
⎢⎢ − +
33 +
⎣ 4 4
4
⎡7 1
1
⎢⎢ −
33 +
⎣4 4
4
−78 + 18 33 ,
−78 + 18 33 ,
1
⎛ 9 3
1
3 ⎜⎜ − +
33 −
3
⎝ 4 4
4
⎛ 9 3
1
1
3 ⎜⎜ − +
33 +
⎝ 4 4
3
4
⎡1 1
1
⎛ 7 1
⎞ ⎤ ⎡ 11 1
1
⎢⎢ +
105 ,
3 ⎜⎜ − +
105 ⎟⎟ ⎥⎥, ⎢⎢ −
33 ,
⎣2 6
3
⎝ 2 2
⎠⎦ ⎣ 4 4
4
⎞⎤
−78 + 18 33 ⎟⎟ ⎥⎥,
⎠⎦
⎞⎤ ⎡
⎤
1
1
−78 + 18 33 ⎟⎟ ⎥⎥, ⎢⎢ 3 −
33 ,
3 ⎥⎥,
⎠⎦ ⎣
⎦
3
3
⎤
−18 + 14 33 ⎥⎥, [ 4, 3 ],
⎦
⎡3 1
⎤ ⎡1 1
⎤ ⎡1
⎤
1
1
2
⎢⎢ +
33 ,
3 ( −1 + 33 ) ⎥⎥, ⎢⎢ +
33 ,
3 ( 1 + 33 ) ⎥⎥, ⎢⎢
33 ,
3 ⎥⎥,
⎣2 6
⎦ ⎣2 6
⎦ ⎣3
⎦
6
6
3
⎡7 1
1
⎤ ⎡2 1
⎢⎢ −
33 ,
3 ( 1 + 33 ) ⎥⎥, ⎢⎢ ,
3
⎣2 6
6
⎦ ⎣3 9
1
⎛ ⎛ 75
3
1
3 ⎜⎜ 5 ⎜⎜ −
33 +
−
24
⎝ ⎝ 148 148
444
+
1
148
138546 − 3054 33 ,
⎞
663 287
138546 − 3054 33 ⎟⎟ 33 +
33
+
⎠
148 148
⎞⎤ ⎡3 1
1
⎤ ⎡
138546 − 3054 33 ⎟⎟ ⎥⎥, ⎢⎢ −
33 ,
3 ( 1 + 33 ) ⎥⎥, ⎢⎢
⎠⎦ ⎣2 6
6
⎦ ⎣
19 1
1
−
33 +
36 12
36
3610 − 618 33 ,
⎛ ⎛ 19 1
1
1
3 ⎜⎜ 5 ⎜⎜ −
33 +
⎝ ⎝ 36 12
6
36
⎡3 1
⎢⎢ +
⎣ 2 12
3
1
⎤ ⎡ 75
33 ⎥⎥, ⎢⎢ −
−
33 +
444
⎦ ⎣ 148 148
234 − 6 33 ,
⎡ 31 1
1
⎢⎢ +
33 +
⎣ 18 18
18
⎞
45 13
3
3610 − 618 33 ⎟⎟ 33 +
33 +
−
⎠
4
4
4
1
⎛⎛
1
3 ⎜⎜ ⎜⎜ 3 +
24
⎝⎝
6
⎞
1
234 − 6 33 ⎟⎟ 33 + 6 +
⎠
2
⎞⎤
3610 − 618 33 ⎟⎟ ⎥⎥,
⎠⎦
⎞⎤
234 − 6 33 − 5 33 ⎟⎟ ⎥⎥,
⎠⎦
274 − 46 33 ,
⎛ 21 19
1
3
3 ⎜⎜ −
33 +
−
⎝ 2
6
2
2
⎛ 31 1
1
274 − 46 33 + 5 ⎜⎜ +
33 +
⎝ 18 18
18
⎞
⎞⎤
274 − 46 33 ⎟⎟ 33 ⎟⎟ ⎥⎥,
⎠
⎠⎦
⎡1
23
1
⎤ ⎡ 35 55
1
⎤ ⎡
⎢⎢
33 + , −
3 ( −15 + 33 ) ⎥⎥, ⎢⎢ −
+
33 , −
3 ( 15 33 − 143 ) ⎥⎥, ⎢⎢
⎣6
6
18
⎦ ⎣ 74 222
222
⎦ ⎣
−
9
71
1
+
33 +
148
148 444
32130 + 8034 33 ,
71
1
⎛ 9
33 +
5 ⎜⎜ −
+
148 444
⎝ 148
+
1
148
1
⎛
3 ⎜⎜
24
⎝
619
1989
⎞
32130 + 8034 33 ⎟⎟ 33 −
33 +
148
148
⎠
⎞ ⎤ ⎡ 61
251
1
32130 + 8034 33 ⎟⎟ ⎥⎥, ⎢⎢
33 −
+
⎠ ⎦ ⎣ 444
444 444
120082 − 8718 33 ,
⎛
1
3 ⎜⎜
⎝
24
⎛ 61
251
1
5 ⎜⎜
33 −
+
⎝ 444
444 444
+
1
148
⎞
357
4099
120082 − 8718 33 ⎟⎟ 33 +
33 −
⎠
148
148
⎞⎤ ⎡ 5
1
1
33 +
120082 − 8718 33 ⎟⎟ ⎥⎥, ⎢⎢ +
⎠ ⎦ ⎣ 12 12
12
1
⎛ 47 5
1
3 ⎜⎜ −
+
33 +
12
⎝ 4 4
4
⎛5
1
1
−158 + 66 33 + ⎜⎜ +
33 +
⎝ 12 12
12
⎡ 13 1
1
⎤ ⎡ 31 1
1
⎢⎢ −
33 ,
3 ( 33 + 4 ) ⎥⎥, ⎢⎢ +
33 +
⎣3 9
9
⎦ ⎣ 12 12
12
1
⎛ ⎛ 31 1
1
3 ⎜⎜ ⎜⎜ +
33 +
24
⎝ ⎝ 12 12
12
−158 + 66 33 ,
⎞
⎞⎤
−158 + 66 33 ⎟⎟ 33 ⎟⎟ ⎥⎥,
⎠
⎠⎦
−638 + 158 33 ,
⎞
93 29
3
33 +
−
−638 + 158 33 ⎟⎟ 33 +
⎠
4
4
4
⎞⎤
−638 + 158 33 ⎟⎟ ⎥⎥,
⎠⎦
⎡ 5
⎤ ⎡
17 1
⎢⎢ −
33 + ,
3 ( 13 + 35 33 ) ⎥⎥, ⎢⎢
⎣ 222
⎦ ⎣
74 222
3 1
+
2 12
234 + 6 33 , −
1
1
⎛
3 ⎜⎜ −6 −
24
2
⎝
1
⎛
234 + 6 33 + ⎜⎜ 3 +
6
⎝
⎞
⎞
234 + 6 33 ⎟⎟ 33 − 5 33 ⎟⎟
⎠
⎠
234 + 6 33 , −
1
⎛
1
3 ⎜⎜ −6 +
24
⎝
2
⎛
1
234 + 6 33 + ⎜⎜ 3 −
⎝
6
⎞
⎞
234 + 6 33 ⎟⎟ 33 − 5 33 ⎟⎟
⎠
⎠
⎤ ⎡
⎥⎥, ⎢⎢
⎦ ⎣
3 1
−
2 12
⎤ ⎡ 31 1
1
⎥⎥, ⎢⎢ −
33 +
⎦ ⎣ 18 18
18
−
⎛ 21 19
1
3
3 ⎜⎜ −
33 −
⎝2
6
2
2
31 1
1
−
33 −
18 18
18
−
274 + 46 33 ,
⎛ 31 1
1
274 + 46 33 + 5 ⎜⎜ −
33 +
⎝ 18 18
18
⎞
⎞⎤ ⎡
274 + 46 33 ⎟⎟ 33 ⎟⎟ ⎥⎥, ⎢⎢
⎠
⎠⎦ ⎣
274 + 46 33 ,
1
⎛ 21 19
3
3 ⎜⎜ −
33 +
6
⎝2
2
2
⎛ 31 1
1
274 + 46 33 + 5 ⎜⎜ −
33 −
⎝ 18 18
18
⎞
⎞⎤
274 + 46 33 ⎟⎟ 33 ⎟⎟ ⎥⎥,
⎠
⎠⎦
⎤ ⎡7 5
⎤
⎡ 1
23 1
⎤ ⎡
1
1
5
⎢⎢ −
33 + ,
3 ( 15 + 33 ) ⎥⎥, ⎢⎢ 1 +
33 ,
3 ⎥⎥, ⎢⎢ +
33 ,
3 ( −5 + 33 ) ⎥⎥,
⎦ ⎣ 6 18
⎦
⎣ 6
6 18
⎦ ⎣
3
3
18
⎡
2
⎢⎢ 2 +
⎣
3
−15 + 3 33 ,
⎡ 14 1
⎢⎢ ,
3
⎣3 9
1
1
⎛⎛
3 ⎜⎜ ⎜⎜ 1 +
12
3
⎝⎝
⎞
−15 + 3 33 ⎟⎟ 33 + 18 + 3
⎠
⎤
⎡3
1
⎤ ⎡9 8
⎤ ⎡
2
1
⎤
33 ⎥⎥, [ 6, 3 3 ], ⎢⎢ , − 3 +
15 ⎥⎥, ⎢⎢ ,
3 ⎥⎥, ⎢⎢ 1 +
6,
3 ( −4 + 2 6 ) ⎥⎥,
⎦
⎣2
2
⎦ ⎣7 7
⎦ ⎣
3
3
⎦
1
3
1
⎡5 1
⎤ ⎡ 75
33 ,
3 ( −1 + 33 ) ⎥⎥, ⎢⎢
33 +
[ 5, 0 ], ⎢⎢ −
−
6
444
⎣2 6
⎦ ⎣ 148 148
−
⎞⎤
−15 + 3 33 − 3 33 ⎟⎟ ⎥⎥,
⎠⎦
287
1
33 −
148
148
138546 + 3054 33
138546 + 3054 33 ,
1 ⎛ 663
⎜⎜
24 ⎝ 148
⎛ 75
3
1
+ 5 ⎜⎜
−
33 +
⎝ 148 148
444
−
19 1
1
33 +
−
36 12
36
1 ⎛ 45 13
3
⎜⎜ +
33 −
6⎝ 4
4
4
3610 + 618 33 ,
⎛ 19 1
1
3610 + 618 33 + 5 ⎜⎜ −
−
33 +
⎝ 36 12
36
⎡ 61
251
1
33 +
, ⎢⎢
+
⎣ 444
444 444
−
1
148
⎞
⎞
⎤ ⎡
138546 + 3054 33 ⎟⎟ 33 ⎟⎟ 3 ⎥⎥, ⎢⎢
⎠
⎠
⎦ ⎣
120082 + 8718 33 ,
⎞
⎞
⎤
3610 + 618 33 ⎟⎟ 33 ⎟⎟ 3 ⎥⎥
⎠
⎠
⎦
1 ⎛ 357
4099
⎜⎜ −
33 −
24 ⎝ 148
148
⎛ 61
251
1
33 +
120082 + 8718 33 + 5 ⎜⎜
+
⎝ 444
444 444
⎞
⎞
⎤
120082 + 8718 33 ⎟⎟ 33 ⎟⎟ 3 ⎥⎥,
⎠
⎠
⎦
⎡5 8
⎤ ⎡
⎤
8
1
1
⎢⎢ +
33 ,
3 ( 33 − 4 ) ⎥⎥, ⎢⎢ −1 +
33 ,
3 ⎥⎥,
⎣ 9 27
⎦ ⎣
⎦
27
3
3
⎡ 165
5
1
⎤ ⎡ 5 1
1
⎛3 1
⎞⎤
⎢⎢
+
33 ,
3 ( −13 + 35 33 ) ⎥⎥, ⎢⎢ − +
69 ,
3 ⎜⎜ +
69 ⎟⎟ ⎥⎥,
⎣ 74 222
222
⎦ ⎣ 4 4
6
⎝2 2
⎠⎦
⎡
2
1
⎢⎢ 2 −
6,
⎣
3
3
⎤ ⎡
4
4
3 + 12 6 ⎥⎥, ⎢⎢ −3 +
6,
⎦ ⎣
3
3
⎤ ⎡
4
4
⎤ ⎡1 1
⎤
6,
3 ⎥⎥, ⎢⎢ ,
39 ⎥⎥,
−6 + 3 6 ⎥⎥, ⎢⎢ −3 +
⎦ ⎣
3
3
⎦ ⎣4 4
⎦
1
⎛5 1
⎞⎤
⎡7 1
⎢⎢ −
285 , −
3 ⎜⎜ −
285 ⎟⎟ ⎥⎥, [ 6 − 2,
6
⎝2 2
⎠⎦
⎣ 4 12
−3 + 2 6 ], [ −4 + 2 6 ,
−45 + 20 6 ],
⎡ 11 1
⎤
⎢⎢ ,
15 ⎥⎥,
⎣4 4
⎦
⎡
⎢
⎢ 23 3
⎢ −
3
⎢
⎣8 8
15 +
1
8
−
54 + 38 3
15 , −
33 3
3
−
8 8
15 +
1
8
54 + 38 3
2 3 + 15
⎤
15 ⎥⎥
⎥,
⎥
⎦
⎛5 1
⎞⎤
⎡3 3
1
⎢⎢ +
5,
15 ⎜⎜ +
5 ⎟⎟ ⎥⎥,
⎝2 2
⎠⎦
⎣4 4
10
⎡
⎢
⎢ 15 1
⎢ −
3
⎢
⎣4 2
⎡ 1
⎢⎢ −
3
⎣ 8
−
15 +
15 +
1
4
−27 + 12 3
15 , −
21 1
−
3
4 2
⎤ ⎡ 3 1
15 1
7
,
15 +
3 ⎥⎥, ⎢⎢ − +
3
⎦ ⎣ 4 4
8 8
8
1
⎛ 25
15
7
15 ⎜⎜
15 +
3+
7
⎝ 64
64
64
25
15
7
15 +
3+
64
64
64
−
−
354 − 50 3
354 − 50 3
⎛ 25
1
15
7
15 ⎜⎜
15 +
3−
⎝ 64
7
64
64
15 +
1
4
−27 + 12 3
2 3 + 15
15 ,
⎤ ⎡
3
3
15 −
3 ⎥⎥, ⎢⎢
⎦ ⎣
4
4
⎞ 4 1
15 ⎟⎟ + +
3
⎠ 7 7
15 ,
⎞ 4 1
15 ⎟⎟ + +
3
⎠ 7 7
15 ,
⎤ ⎡
15 ⎥⎥, ⎢⎢
⎦ ⎣
354 − 50 3
⎤
15 ⎥⎥
⎥,
⎥
⎦
25
15
7
15 +
3−
64
64
64
+
1
24
+
2
3
3
+
1
24
−
5
5
15 +
3
8
8
6−
−
2
3
3
2
3
3
−
1
24
−690 + 44 3
15 , −
6
15 +
−690 + 44 3
⎡ 31 7
⎢⎢ −
3
−
⎣ 16 48
15 +
6
1
24
6
6−
−690 + 44 3
15
⎤ ⎡
⎛ 5
7
15 + 300 6 ⎥⎥, ⎢⎢ 15 ⎜⎜ −
3+
15
⎦ ⎣
⎝ 8
24
6
6
6
⎞
14
15 + 300 6 ⎟⎟ + 11 −
6
⎠
3
15 − 114 3
6
5
7
3+
15
8
24
6−
5
5
15 +
3
8
8
6
⎤
15 + 300 6 ⎥⎥,
⎦
15 − 114 3
17
7
6+
3
48
48
5
5
15 +
3
8
8
6
5
5
15 +
3
8
8
15 − 114 3
15 , −
6−
⎞
14
2
15 + 300 6 ⎟⎟ + 11 −
6−
3
⎠
3
3
15 − 114 3
5
7
3+
15
8
24
−690 + 44 3
6
⎤ ⎡
⎛ 5
7
15 ⎥⎥, ⎢⎢ 15 ⎜⎜ −
3+
15
⎦ ⎣
⎝ 8
24
354 − 50 3
6
7
7
15 +
15
16
48
15 ,
6−
17
3
48
6+
17
⎤
3 ⎥⎥,
48
⎦
1
⎛ 5 5
⎞⎤ ⎡ 5
3
1
⎛ 195 21
⎞⎤
⎡ 1 5
⎢⎢ − +
3,
15 ⎜⎜ − +
3 ⎟⎟ ⎥⎥, ⎢⎢ −
+
145 ,
15 ⎜⎜ −
+
145 ⎟⎟ ⎥⎥,
15
⎝ 2 2
⎠ ⎦ ⎣ 32 32
15
⎝ 32 32
⎠⎦
⎣ 2 6
⎡1
⎢⎢
3
⎣8
15 +
15 1
7
⎤ ⎡
,−
15 +
3 ⎥⎥, ⎢⎢
8
8
8
⎦ ⎣
⎛ 15
1
25
7
15 ⎜⎜
3−
15 +
⎝ 64
7
64
64
15
25
7
3−
15 +
64
64
64
354 + 50 3
1
12
+
2
3
9
+
1
12
−
7
1
6+
24
24
1
3
24
−537 + 258 6 + 108 3
15 , −
5
7
3−
15
12
36
−537 + 258 6 + 108 3
6
−10350 − 660 3
15 −
1
3
24
15 +
4
15 + ,
7
⎤ ⎡1
1
15 ⎥⎥, ⎢⎢
10 − 1,
15
⎦ ⎣2
10
354 + 50 3
⎛ 5
7
⎡ 19 3
⎤ ⎡1
⎢⎢ ,
15 ⎥⎥, ⎢⎢
15 ⎜⎜ −
3−
15
⎝ 12
36
⎣8 8
⎦ ⎣3
+
⎞ 1
15 ⎟⎟ −
3
⎠ 7
6+
15 − 38 3
6+
6
6
6
15
6
⎤ ⎡1
15 ⎥⎥, ⎢⎢
3
⎦ ⎣ 24
15 + 4500 6 + 1710 3
13 7
−
6
8 24
6
⎞ 11 14
2
15 ⎟⎟ −
6−
3
+
⎠ 3
9
9
1
5
15 +
3
3
12
15 − 38 3
6
1
5
15 +
3
3
12
⎤ ⎡ 13 5
⎤
10 ⎥⎥, ⎢⎢ ,
15 ⎥⎥,
⎦ ⎣ 16 16
⎦
6
15 −
15 , −
1
3
24
1
⎛
15 ⎜⎜
15
⎝
15 +
13
8
+
1
24
+
2
3
3
+
1
24
−
1
3
24
+
11
14
15 +
15
15
45
−
1
24
−
1
3
24
+
11
14
15 +
15
15
45
−10350 − 660 3
6−
6
2
⎤ ⎡ 1
3 ⎥⎥, ⎢⎢ −
3
3
⎦ ⎣ 24
15 −
6
−10350 − 4500 6 + 660 3
15 +
13 7
1
+
6+
8 24
24
6−
2
3
3
6
6−
13 7
1
+
6−
8 24
24
6−
7
⎡ 31 17
⎢⎢ −
6+
3
−
48
⎣ 16 48
2
3
3
15 +
1
3
24
2
⎤ ⎡ 1
3 ⎥⎥, ⎢⎢ −
3
3
⎦ ⎣ 24
6
15 + 1710 3
⎡3 1
⎢⎢ +
⎣ 4 12
⎡5 2
⎢⎢ +
⎣9 9
333 + 12 6 ,
76 − 9 6 ,
15 , −
1
⎛ 1
15 ⎜⎜ −
3
15
⎝ 24
6
15 −
15 , −
6
1
3
24
15 +
13 7
6
+
8 24
⎛ 1
1
15 ⎜⎜ −
3
⎝ 24
15
6
15 + 1710 3
6
15
⎞
15 ⎟⎟
⎠
15 + 1710 3
6
−10350 − 4500 6 + 660 3
6−
6
13 7
6
+
8 24
15 + 1710 3
15
⎞
15 ⎟⎟
⎠
2
⎤
3 ⎥⎥,
3
⎦
7
3
48
6
15 , −
⎡1
1
⎤ ⎡2
1
1
⎢⎢
6 + 2,
3 ( −1 + 6 ) ⎥⎥, ⎢⎢
6−
+
⎣3
3
⎦ ⎣9
18 18
⎛ 75
1
3
3 ⎜⎜ −
+ 26 6 −
⎝ 2
69
2
15 +
−10350 − 4500 6 + 660 3
−10350 − 4500 6 + 660 3
15 +
⎞ 11
14
15 ⎟⎟ +
15 −
15
⎠ 15
45
15 + 4500 6 + 1710 3
7
7
15 +
15
16
48
1
⎛
3 ⎜⎜ 16 6 − 6
69
⎝
17
3
48
6+
17
⎤
3 ⎥⎥,
48
⎦
1537 − 8 6 ,
⎛2
1
1
1537 − 8 6 + 8 6 ⎜⎜
6−
+
⎝9
18 18
1
⎛ 15
1
3 ⎜⎜ + 2 6 −
30
⎝2
2
6+
⎞⎞⎤
1537 − 8 6 ⎟⎟ ⎟⎟ ⎥⎥,
⎠⎠⎦
⎛3 1
333 + 12 6 + 2 6 ⎜⎜ +
⎝2 6
⎛5 2
76 − 9 6 + 8 6 ⎜⎜ +
⎝9 9
⎞⎞⎤
333 + 12 6 ⎟⎟ ⎟⎟ ⎥⎥,
⎠⎠⎦
⎞⎞⎤
76 − 9 6 ⎟⎟ ⎟⎟ ⎥⎥,
⎠⎠⎦
⎤
⎡ 14
2
1
⎤ ⎡ 1
1
⎢⎢
6 + ,−
3 ( −49 + 6 6 ) ⎥⎥, ⎢⎢ −
6 + 2,
3 ( 1 + 6 ) ⎥⎥,
⎦
⎣ 57
19 57
⎦ ⎣ 3
3
⎡7 4
2
⎤ ⎡ 5 3
1
⎢⎢ −
6,
3 ( −1 + 2 6 ) ⎥⎥, ⎢⎢ − +
6+
⎣3 9
9
⎦ ⎣ 4 4
12
−
1 ⎛ 117 15
3
⎜⎜ −
+
6+
15 ⎝ 4
4
4
−
5 3
1
6−
+
4 4
12
−
1 ⎛ 117 15
3
⎜⎜ −
6−
+
15 ⎝ 4
4
4
1083 − 438 6 ,
⎛ 5 3
1
1083 − 438 6 + 4 ⎜⎜ − +
6+
⎝ 4 4
12
⎞
⎞
⎤ ⎡
1083 − 438 6 ⎟⎟ 6 ⎟⎟ 3 ⎥⎥, ⎢⎢
⎠
⎠
⎦ ⎣
1083 − 438 6 ,
⎛ 5 3
1
1083 − 438 6 + 4 ⎜⎜ − +
6−
⎝ 4 4
12
⎞
⎤
⎞
1083 − 438 6 ⎟⎟ 6 ⎟⎟ 3 ⎥⎥,
⎠
⎦
⎠
⎡1
⎢⎢
3
⎣ 12
15 −
1
3
12
15 +
6
+
5
3
36
+
1
108
−
1
5
6−
3
36
108
+
2
8
⎛ 19 5
3+
3 ⎜⎜ +
3
23
69
⎝ 36 36
+
1
108
−
3
15
23
−
1
108
−
1
5
6−
3
36
108
+
2
8
⎛ 19 5
3+
3 ⎜⎜ +
3
23
69
⎝ 36 36
−
1
108
−
3
15
23
⎡1
⎢⎢
3
⎣ 12
−
15 −
5 1
1
1
6, −
3+
3
+
4 12
12
12
1
5
6−
3
36
108
42858 − 5238 3
42858 − 5238 3
1
108
42858 − 5238 3
15 −
15 −
1
5
6−
3
36
108
42858 − 5238 3
1
108
42858 − 5238 3
15 −
1
5
6−
3
36
108
15 + 4572 6 − 1092 3
15 +
1
3
18
3
5 1
6− +
4
4 12
15 −
6
15 + 4572 6 − 1092 3
6
⎞
11
15 ⎟⎟ 6 +
3
⎠
69
6
6
6
15
⎞
15 ⎟⎟
⎠
15
6+
13
15
23
15
6
15 , −
9
⎛ 19 5
3 ⎜⎜ +
3
23
⎝ 36 36
15 + 4572 6 − 1092 3
6
6
6
15
⎞
15 ⎟⎟
⎠
15
⎞
11
15 ⎟⎟ 6 +
3
⎠
69
43 7
7
7
6,
3+
3
+
12 6
12
18
6+
13
15
23
1 ⎛ 33
111 3
⎜⎜
6+
−
15 ⎝ 4
4
4
15 +
6+
1
1
15 −
15
12
6
⎤ ⎡
6 ⎥⎥, ⎢⎢
⎦ ⎣
1083 + 438 6 ,
5 1
⎛ 3
1083 + 438 6 + 4 ⎜⎜ −
6− +
4 12
⎝ 4
⎡1
⎤ ⎡ 7
1
7 1
⎢⎢
6,
3 ( 1 + 6 ) ⎥⎥, ⎢⎢ −
6− +
⎣3
⎦ ⎣ 12
3
4 12
5
3
36
9
⎛ 19 5
3 ⎜⎜ +
3
23
⎝ 36 36
⎤
6 ⎥⎥,
⎦
1 ⎛ 15
117 3
⎜⎜
6+
−
15 ⎝ 4
4
4
+
15 , −
6
1
5
6−
3
36
108
15 + 4572 6 − 1092 3
15 −
6
42858 − 5238 3
15 + 4572 6 − 1092 3
⎤ ⎡ 19 5
6 ⎥⎥, ⎢⎢ +
3
⎦ ⎣ 36 36
⎤ ⎡ 19
6 ⎥⎥, ⎢⎢
⎦ ⎣ 36
1
1
15 +
15
4
12
15
15 + 4572 6 − 1092 3
15 +
6
6
6+
963 + 318 6 ,
⎛ 7
7 1
963 + 318 6 + 4 ⎜⎜ −
6− +
⎝ 12
4 12
5
3
108
6
15 +
1
6
36
⎞
⎞
⎤
1083 + 438 6 ⎟⎟ 6 ⎟⎟ 3 ⎥⎥,
⎠
⎠
⎦
⎞
⎞
⎤ ⎡ 19
963 + 318 6 ⎟⎟ 6 ⎟⎟ 3 ⎥⎥, ⎢⎢
⎠
⎠
⎦ ⎣ 36
−
1
108
+
5
3
108
+
2
8
⎛ 19 5
3−
3 ⎜⎜ +
3
23
69
⎝ 36 36
−
1
108
+
3
15
23
−
1 ⎛ 181
1
⎜⎜
− 24 6 −
15 ⎝ 4
4
42858 − 5238 3
6
15 +
15 + 1092 3
1
1
6−
36
108
42858 − 5238 3
15 − 4572 6 , −
42858 − 5238 3
15 +
5
3
108
15 + 1092 3
⎤ ⎡ 29 1
1
6 ⎥⎥, ⎢⎢ −
6−
⎦ ⎣ 12 3
12
6
6
6
⎛ 19 5
9
3 ⎜⎜ +
3
⎝ 36 36
23
15 + 1092 3
15 +
6
15
⎞
15 − 4572 6 ⎟⎟
⎠
1
6
36
⎞
11
15 − 4572 6 ⎟⎟ 6 −
3
⎠
69
6+
13
15
23
−7067 + 2988 6 ,
⎛ 29 1
1
−7067 + 2988 6 + 2 ⎜⎜ −
6−
⎝ 12 3
12
⎞
⎤
⎞
−7067 + 2988 6 ⎟⎟ 6 ⎟⎟ 3 ⎥⎥
⎠
⎦
⎠
⎡ 1 1
1
⎛ 5 1
⎞⎤
, ⎢⎢ − +
33 ,
3 ⎜⎜ − +
33 ⎟⎟ ⎥⎥,
⎣ 2 6
3
⎝ 2 2
⎠⎦
⎡ 1
1
⎢⎢ −
33 +
⎣ 6
6
−
1 1
+
2 12
13 + 4 33 ,
234 − 6 33 ,
1
⎛1
3
3 ⎜⎜
33 +
9
⎝2
2
⎞⎤ ⎡
13 + 4 33 − 3 ⎟⎟ ⎥⎥, ⎢⎢
⎠⎦ ⎣
1
⎛
⎛
1
3 ⎜⎜ 6 − 33 + 33 ⎜⎜ −1 +
24
⎝
⎝
6
⎞ 1
234 − 6 33 ⎟⎟ +
⎠ 2
⎞⎤
234 − 6 33 ⎟⎟ ⎥⎥,
⎠⎦
⎡ 11 1
1
⎤ ⎡1 1
1
⎤ ⎡
⎢⎢ +
33 , −
3 ( −15 + 33 ) ⎥⎥, ⎢⎢ +
33 ,
3 ( 15 + 33 ) ⎥⎥, ⎢⎢
⎣6 6
18
⎦ ⎣6 6
18
⎦ ⎣
−
19 1
1
33 +
+
12 12
12
−158 + 66 33 ,
1 ⎛ 47 13
1
⎜⎜ −
+
33 +
12 ⎝ 4
4
4
⎛ 19 1
1
−158 + 66 33 + ⎜⎜ −
+
33 +
⎝ 12 12
12
1
⎡7 1
⎤ ⎡ 1 1
⎢⎢ −
33 ,
3 ( 33 + 4 ) ⎥⎥, ⎢⎢ − +
9
⎣3 9
⎦ ⎣ 2 12
−
⎛
1
1
3 ⎜⎜ −6 − 33 −
⎝
24
2
⎞
⎞
⎤
−158 + 66 33 ⎟⎟ 33 ⎟⎟ 3 ⎥⎥,
⎠
⎠
⎦
234 + 6 33 ,
⎛
1
234 + 6 33 + 33 ⎜⎜ −1 +
⎝
6
⎞⎞⎤
234 + 6 33 ⎟⎟ ⎟⎟ ⎥⎥,
⎠⎠⎦
⎡ 11 1
1
⎤ ⎡ 5
1
1
⎤
⎢⎢ −
33 ,
3 ( 15 + 33 ) ⎥⎥, ⎢⎢ −
+
33 , −
3 ( −39 + 33 ) ⎥⎥,
⎣6 6
18
⎦ ⎣ 18 18
54
⎦
⎡2
⎢⎢
⎣3
−15 + 3 33 ,
1
⎛
3 ⎜⎜ 36 − 4 33 + 6
24
⎝
−
27 13
1
33 +
+
8 24
24
−
1 ⎛ 69 13
1
⎜⎜ −
33 −
+
6⎝ 2
2
2
−15 + 3 33 +
2
33
3
⎞⎤ ⎡
−15 + 3 33 ⎟⎟ ⎥⎥, ⎢⎢
⎠⎦ ⎣
−30 + 78 33 ,
⎛ 27 13
1
−30 + 78 33 + 2 ⎜⎜ −
+
33 +
⎝ 8 24
24
⎞
⎤
⎞
−30 + 78 33 ⎟⎟ 33 ⎟⎟ 3 ⎥⎥,
⎠
⎦
⎠
⎡ 5 5
5
⎤
⎢⎢ − +
33 ,
3 ( −5 + 33 ) ⎥⎥,
⎣ 6 18
18
⎦
⎡ 5 1
1
⎢⎢ − −
33 +
⎣ 8 8
8
66 + 18 33 ,
⎞⎤
66 + 18 33 ⎟⎟ ⎥⎥,
⎠⎦
1
⎛ 9 3
1
3 ⎜⎜ − +
33 +
6
⎝ 4 4
4
⎡5 3
1
⎛ 3 3
⎞⎤
⎢⎢ +
13 ,
3 ⎜⎜ − +
13 ⎟⎟ ⎥⎥,
⎣4 4
6
⎝ 2 2
⎠⎦
⎡1 1
⎢⎢ +
⎣ 2 12
234 + 6 33 ,
⎛
⎛
1
1
3 ⎜⎜ 6 + 33 + 33 ⎜⎜ 1 +
⎝
⎝
24
6
⎞ 1
234 + 6 33 ⎟⎟ −
⎠ 2
⎞⎤
234 + 6 33 ⎟⎟ ⎥⎥,
⎠⎦
⎡ 1 1
⎤ ⎡ 23 8
1
8
⎤ ⎡1
8
⎤
⎢⎢ − +
33 , −
3 ( −15 + 33 ) ⎥⎥, ⎢⎢ +
33 ,
3 ( 33 − 4 ) ⎥⎥, ⎢⎢
33 ,
3 ⎥⎥,
⎣ 6 6
⎦ ⎣ 9 27
18
27
⎦ ⎣3
3
⎦
⎡5 1
⎤ ⎡5 1
⎤
1
1
⎢⎢ +
33 , −
3 ( −11 + 33 ) ⎥⎥, ⎢⎢ −
33 ,
3 ( 11 + 33 ) ⎥⎥,
⎣2 6
⎦ ⎣2 6
⎦
6
6
⎡ 5
17 1
⎤ ⎡
⎢⎢
33 + ,
3 ( −13 + 35 33 ) ⎥⎥, ⎢⎢
⎣ 222
74 222
⎦ ⎣
3 1
−
2 12
234 − 6 33 , −
⎡ 31 1
1
, ⎢⎢ +
33 −
⎣ 18 18
18
−
1
⎛⎛
1
3 ⎜⎜ ⎜⎜ 3 −
24
⎝⎝
6
⎞
1
234 − 6 33 ⎟⎟ 33 + 6 −
⎠
2
⎞⎤
234 − 6 33 − 5 33 ⎟⎟ ⎥⎥
⎠⎦
274 − 46 33 ,
1
⎛ 21 19
3
3 ⎜⎜ −
−
33 −
6
⎝ 2
2
2
⎛ 31 1
1
274 − 46 33 + 5 ⎜⎜ +
33 −
⎝ 18 18
18
⎞
⎞⎤
274 − 46 33 ⎟⎟ 33 ⎟⎟ ⎥⎥,
⎠
⎠⎦
⎡7 5
⎤ ⎡ 1
⎤ ⎡ 5 8
⎤ ⎡
1
8
⎢⎢ +
33 ,
3 ( 11 + 5 33 ) ⎥⎥, ⎢⎢ 1,
3 ( 3 + 33 ) ⎥⎥, ⎢⎢ − +
33 ,
3 ( 33 + 4 ) ⎥⎥, ⎢⎢
⎣ 6 18
⎦ ⎣ 3
⎦ ⎣ 9 27
⎦ ⎣
18
27
−
75
3
1
+
33 +
148 148
444
−
1
148
1
⎛ 663 287
3 ⎜⎜ −
+
33
24
⎝ 148 148
⎛ 75
3
1
138546 + 3054 33 + 5 ⎜⎜ −
+
33 +
⎝ 148 148
444
1
19 1
33 +
+
12
36 36
⎡ 31 1
1
, ⎢⎢ +
33 −
⎣ 12 12
12
⎞
⎞⎤ ⎡
138546 + 3054 33 ⎟⎟ 33 ⎟⎟ ⎥⎥, ⎢⎢
⎠
⎠⎦ ⎣
3610 + 618 33 ,
1
45 3
⎛ 13
3 ⎜⎜ −
33 −
−
6
4 4
⎝ 4
−
138546 + 3054 33 ,
19 1
⎛1
3610 + 618 33 + 5 ⎜⎜
33 +
+
36 36
⎝ 12
⎞
⎞⎤
3610 + 618 33 ⎟⎟ 33 ⎟⎟ ⎥⎥
⎠
⎠⎦
−638 + 158 33 ,
1
⎛ ⎛ 31 1
1
3 ⎜⎜ ⎜⎜ +
33 −
24
⎝ ⎝ 12 12
12
⎞
93 29
3
33 −
−638 + 158 33 ⎟⎟ 33 +
−
⎠
4
4
4
⎡ 11 25
⎤ ⎡
5
⎢⎢ −
+
33 , −
3 ( −13 + 2 33 ) ⎥⎥, ⎢⎢
⎣ 37 111
⎦ ⎣
111
⎞⎤
−638 + 158 33 ⎟⎟ ⎥⎥,
⎠⎦
2−
2
3
−15 + 3 33 , −
⎛⎛
1
1
3 ⎜⎜ ⎜⎜ 1 −
⎝⎝
12
3
⎞
−15 + 3 33 ⎟⎟ 33 + 18 − 3
⎠
⎡5
⎤ ⎡ 1
16
3
1
, ⎢⎢
33 ,
3 ⎥⎥, ⎢⎢ −
33 + +
⎣9
⎦ ⎣ 12
9
4 444
⎛ 1
3
1
5 ⎜⎜ −
33 + +
⎝ 12
4 444
12210 + 12654 33 ,
⎞⎤
−15 + 3 33 − 3 33 ⎟⎟ ⎥⎥
⎠⎦
1
⎛
3 ⎜⎜
24
⎝
⎞
23
63
1
12210 + 12654 33 ⎟⎟ 33 −
33 +
−
⎠
4
4 148
⎞ ⎤ ⎡ 29 13
1
⎟⎟ ⎥⎥, ⎢⎢ −
33 +
⎠ ⎦ ⎣ 74 74
222
⎛ 2577 257
1
⎜⎜
33 −
−
⎝ 74
74
74
9810 + 5646 33 ,
12210 + 12654 33
1
3
24
⎛ 29 13
1
33 +
9810 + 5646 33 + 5 ⎜⎜ −
⎝ 74 74
222
⎞
⎞
9810 + 5646 33 ⎟⎟ 33 ⎟⎟
⎠
⎠
⎤ ⎡ 13 1
⎤ ⎡
⎤ ⎡ 20 3
⎤ ⎡1
⎤
1
4
2
2
⎥⎥, ⎢⎢ +
33 ,
3 ( 33 − 4 ) ⎥⎥, ⎢⎢ 3 +
6,
3 ⎥⎥, ⎢⎢ ,
3 ⎥⎥, ⎢⎢
105 ,
3 ⎥⎥,
⎦ ⎣3 9
⎦ ⎣
⎦ ⎣7 7
⎦ ⎣3
⎦
9
3
3
3
⎡7 1
1
1
1
⎛ 33 1
⎞⎤ ⎡
⎤ ⎡2
⎤
⎢⎢ +
609 ,
3 ⎜⎜ +
609 ⎟⎟ ⎥⎥, ⎢⎢ 2 + 2 6 ,
3 ( 2 6 + 3 ) ⎥⎥, ⎢⎢
6,
3 ( −1 + 2 6 ) ⎥⎥,
⎣6 6
9
3
3
⎝2 2
⎠⎦ ⎣
⎦ ⎣3
⎦
⎡4
1
⎤ ⎡7 1
1
⎛5 1
⎞⎤ ⎡4
5
⎤
⎢⎢
6,
3 ⎥⎥, ⎢⎢ +
285 ,
3 ⎜⎜ +
285 ⎟⎟ ⎥⎥, ⎢⎢
6,
3 ⎥⎥,
⎣3
3
⎦ ⎣ 4 12
6
⎝2 2
⎠⎦ ⎣3
3
⎦
⎡ 3 1
⎢⎢ − +
3
⎣ 4 4
15 ,
3
5
3
1
⎤ ⎡⎛7
15 +
3 ⎥⎥, ⎢⎢ ⎜⎜
3−
15 +
4
4
4
4
⎦ ⎣⎝4
⎛7
3
1
+ 2 ⎜⎜
3−
15 +
⎝4
4
4
7
3
1
3−
15 +
4
4
4
⎡
⎢
⎢3
⎢
3
⎢
⎣ 16
⎡1
⎢⎢
3
⎣6
15 −
15 +
17 1
+
16 16
−
17 7
1
6+
+
12 12
12
1 ⎛ 51 1
3
⎜⎜ −
+
6+
15 ⎝ 4 4
4
⎞
15 ⎟⎟ 15
⎠
15 ,
⎤
15 ⎥⎥,
⎦
1350 + 170 3
1
5
1
6,
3+
15
3
6
3
1 ⎛ 20
33 2
⎜⎜ −
6−
+
15 ⎝ 19
19 19
⎞
15 ⎟⎟ 3 + 6 − 3
⎠
−762 + 114 3
−762 + 114 3
−762 + 114 3
15 ,
3
3
16
15 +
⎤ ⎡3
15 1
6 ⎥⎥, ⎢⎢
6−
+
⎦ ⎣ 19
19 57
15 1
+
16 16
1350 + 170 3
2 3 + 15
⎤
15 ⎥⎥
⎥,
⎥
⎦
7983 − 1038 6 ,
⎛3
15 1
7983 − 1038 6 + ⎜⎜
6−
+
⎝ 19
19 57
⎞
⎞
⎤ ⎡
7983 − 1038 6 ⎟⎟ 6 ⎟⎟ 3 ⎥⎥, ⎢⎢
⎠
⎠
⎦ ⎣
1003 − 358 6 ,
⎛ 17 7
1
1003 − 358 6 + 4 ⎜⎜ −
+
6+
⎝ 12 12
12
⎞
⎞
⎤
1003 − 358 6 ⎟⎟ 6 ⎟⎟ 3 ⎥⎥,
⎠
⎠
⎦
⎡
2
2
⎤ ⎡4
7 4
7
1
⎤ ⎡ 11
⎢⎢ 1 +
6,
3 ⎥⎥, ⎢⎢
6 + ,−
3 ( 6 − 4 ) ⎥⎥, ⎢⎢ −
6−
+
⎣
3
3
⎦ ⎣9
3 9
19 57
⎦ ⎣ 57
−2937 + 3882 6 ,
⎛ 11
7
1
−2937 + 3882 6 + ⎜⎜ −
6−
+
⎝ 57
19 57
1 ⎛ 92
213 2
⎜⎜
6−
+
15 ⎝ 19
19 19
⎤ ⎡7
7 1
⎥⎥, ⎢⎢
6− +
⎦ ⎣ 12
4 12
963 − 318 6 ,
1 ⎛ 33
111 3
⎜⎜
6−
+
15 ⎝ 4
4
4
⎡ 1
⎢⎢ −
3
⎣ 12
5
3
108
15 +
6
⎛7
7 1
963 − 318 6 + 4 ⎜⎜
6− +
⎝ 12
4 12
1
3
12
15 −
6
1
108
−
1
5
6−
3
36
36
−
2
8
⎛ 5
3−
3 ⎜⎜
3
23
69
⎝ 108
+
1
108
−
3
15
23
−
1 ⎛ 33 20
2
⎜⎜ −
6−
15 ⎝ 19 19
19
42858 + 5238 3
15 +
6
⎞
⎞
⎤
963 − 318 6 ⎟⎟ 6 ⎟⎟ 3 ⎥⎥,
⎠
⎠
⎦
5 1
1
1
6,
3−
3
+
4 12
12
12
15 +
42858 + 5238 3
15 −
6+
1
1
15 +
15
4
12
1
5
6−
3
36
36
15 + 4572 6 + 1092 3
6
15 ,
⎛ 5
9
3 ⎜⎜
3
⎝ 108
23
15 +
6
−
1 ⎛ 51 1
3
⎜⎜ +
6−
15 ⎝ 4 4
4
15
6
⎞
15 ⎟⎟
⎠
19
36
⎞
11
15 ⎟⎟ 6 −
3
⎠
69
⎛ 15 3
1
7983 + 1038 6 + ⎜⎜ −
6+
−
⎝ 19 19
57
6+
13
15
23
7983 + 1038 6 ,
⎞
⎤
⎞
7983 + 1038 6 ⎟⎟ 6 ⎟⎟ 3 ⎥⎥,
⎠
⎦
⎠
1537 + 8 6 ,
1
⎛ 75
3
3 ⎜⎜ + 26 6 +
69
⎝2
2
17 7
1
6+
−
12 12
12
6
15 + 4572 6 + 1092 3
⎤ ⎡ 23 10
10
⎤ ⎡ 15 3
1
6 ⎥⎥, ⎢⎢ −
6,
3 ( 5 + 6 ) ⎥⎥, ⎢⎢ −
−
6+
⎦ ⎣ 9 27
27
⎦ ⎣ 19 19
57
−
⎤ ⎡
6 ⎥⎥, ⎢⎢
⎦ ⎣
19
36
15 + 4572 6 + 1092 3
19
1
+
36 108
42858 + 5238 3
⎡ 2
1
1
⎢⎢ −
6−
+
⎣ 9
18 18
⎤ ⎡5 2
⎥⎥, ⎢⎢ +
⎦ ⎣9 9
15 +
1
5
6−
3
36
36
+
3 1
+
4 12
⎞
⎞
−2937 + 3882 6 ⎟⎟ 6 ⎟⎟ 3
⎠
⎠
⎛ 2
1
1
1537 + 8 6 + 8 6 ⎜⎜ −
6−
+
⎝ 9
18 18
⎞⎞⎤ ⎡
1537 + 8 6 ⎟⎟ ⎟⎟ ⎥⎥, ⎢⎢
⎠⎠⎦ ⎣
1003 + 358 6 ,
333 − 12 6 ,
76 + 9 6 ,
1
⎛ 17 7
1003 + 358 6 + 4 ⎜⎜ −
−
6+
12
⎝ 12 12
⎞
⎞
⎤ ⎡
1003 + 358 6 ⎟⎟ 6 ⎟⎟ 3 ⎥⎥, ⎢⎢
⎠
⎠
⎦ ⎣
1
⎛ 15 1
3 ⎜⎜ −
+
30
⎝ 2 2
⎛3 1
333 − 12 6 + 2 6 ⎜⎜ +
⎝2 6
1
⎛
3 ⎜⎜ 16 6 + 6
69
⎝
⎛5 2
76 + 9 6 + 8 6 ⎜⎜ +
⎝9 9
⎡4
⎤ ⎡ 5 16
⎤ ⎡
7 2
4
⎢⎢
6+ ,
3 ( 1 + 2 6 ) ⎥⎥, ⎢⎢ −
+
6, −
3 ( 6 − 14 ) ⎥⎥, ⎢⎢
⎣9
⎦ ⎣ 19 57
⎦ ⎣
3 9
57
⎞
⎞
333 − 12 6 ⎟⎟ + 2 6 ⎟⎟
⎠
⎠
⎞⎞⎤
76 + 9 6 ⎟⎟ ⎟⎟ ⎥⎥,
⎠⎠⎦
3 1
1
−
6+
4 3
12
−147 + 108 6 ,
1 ⎛ 81
1
⎜⎜ − 4 6 +
15 ⎝ 4
4
⎛3 1
1
6+
−147 + 108 6 + 2 ⎜⎜ −
⎝4 3
12
⎞
⎞
⎤
−147 + 108 6 ⎟⎟ 6 ⎟⎟ 3 ⎥⎥,
⎠
⎠
⎦
⎡7 4
4
⎤ ⎡1
⎛ 13
2
⎢⎢ −
6,
3 ( 6 + 4 ) ⎥⎥, ⎢⎢
3 ⎜⎜ −
3+
15
⎣3 9
9
⎦ ⎣6
⎝ 38
57
+
1
57
−
13
2
3+
15
38
57
+
1
57
+
2
15
57
1377 − 42 3
6+
1377 − 42 3
6+
6
1
108
−
5
3
36
+
1
108
−
5
3
36
+
1
108
+
3
15
23
13
2
15 −
3
38
57
6
15 + 303 3
13
2
15 −
3
38
57
⎡ 19 1
5
⎢⎢ +
6−
3
⎣ 36 36
36
+
15 + 303 3
15 −
6+
5
3
108
6
42858 − 4572 6 + 5238 3
15 −
5
3
108
6
5
3
108
6
5
3
36
+
1
108
+
5
3
108
6
⎛
15 + 3 ⎜⎜
⎝
6
⎞ 1 1
15 − 534 6 ⎟⎟ + −
3
⎠ 2 2
1377 − 42 3
15 , −
13
3
38
⎤
15 − 534 6 ⎥⎥,
⎦
6
15 + 303 3
9
⎛ 19 1
3 ⎜⎜ +
6
23
⎝ 36 36
15
15 − 1092 3
6
15 ,
15 − 1092 3
6
⎞ 2
⎛ 19 1
8
15 ⎟⎟ −
3+
3 ⎜⎜ +
6
⎠ 23
⎝ 36 36
69
15 − 1092 3
6
⎞
11
15 ⎟⎟ 6 +
3
⎠
69
6+
13
15
23
⎤
6 ⎥⎥,
⎦
15 +
+
⎞
1
1
15 − 534 6 ⎟⎟ 6 +
6−
3
⎠
4
12
15
42858 − 4572 6 + 5238 3
⎡1
⎢⎢
3
⎣ 12
6
15
42858 − 4572 6 + 5238 3
15 −
1
57
13
2
15 −
3
38
57
6+
1
3
12
15 +
5
3
108
42858 − 5238 3
6
15 +
15 +
6
6
5 1
1
1
−
6,
3+
3
4 12
12
12
15 +
1
1
15 +
15
4
12
⎤ ⎡ 19
6 ⎥⎥, ⎢⎢
⎦ ⎣ 36
1
6
36
15 + 1092 3
1
1
6+
36
108
6−
6
15 − 4572 6 ,
42858 − 5238 3
9
⎛ 19 5
3 ⎜⎜ +
3
23
⎝ 36 36
15 + 1092 3
6
15
⎞
15 − 4572 6 ⎟⎟
⎠
−
⎛ 19 5
2
8
3+
3 ⎜⎜ +
3
⎝ 36 36
23
69
+
1
108
−
3
15
23
42858 − 5238 3
15 +
5
3
108
15 + 1092 3
⎤ ⎡ 29 1
1
6 ⎥⎥, ⎢⎢ −
6+
⎦ ⎣ 12 3
12
6
15 +
1
6
36
⎞
11
15 − 4572 6 ⎟⎟ 6 +
3
⎠
69
6
13
15
23
−7067 + 2988 6 ,
⎛ 29 1
1
−7067 + 2988 6 + 2 ⎜⎜ −
6+
⎝ 12 3
12
1 ⎛ 181
1
⎜⎜
− 24 6 +
15 ⎝ 4
4
6−
⎞
⎤
⎞
−7067 + 2988 6 ⎟⎟ 6 ⎟⎟ 3 ⎥⎥,
⎠
⎦
⎠
⎡ 23 10
⎤ ⎡ 7 1
10
1
⎛ 33 1
⎞⎤
⎢⎢ +
6, −
3 ( −5 + 6 ) ⎥⎥, ⎢⎢ − +
609 , −
3 ⎜⎜ −
609 ⎟⎟ ⎥⎥,
+
⎣ 9 27
⎦ ⎣ 6 6
27
9
⎝ 2 2
⎠⎦
⎡
⎤ ⎡5 1
⎛ 3 1
⎞⎤
2
2
1
⎢⎢ −1 +
6,
3 ( 2 + 6 ) ⎥⎥, ⎢⎢ +
69 ,
3 ⎜⎜ − +
69 ⎟⎟ ⎥⎥,
⎣
⎦ ⎣4 4
⎝ 2 2
⎠⎦
3
3
6
⎡3 1
⎢⎢ +
3
⎣4 4
15 ,
⎡
⎢
⎢ 17 3
⎢ +
3
⎢
⎣ 16 16
3
3
⎤
15 +
3 ⎥⎥,
4
4
⎦
15 +
⎡
7
1
⎢⎢ 2 +
6−
3
⎣
12
12
+
1
36
−
1
3
12
−
14
15
45
+
1
12
−
2
3
9
+
1
12
−
1
16
1350 − 170 3
15 −
1
3
12
−8055 − 3870 6 + 570 3
15 +
6
6+
1
36
2
2
3+
3
3
3
5
5
3−
3
12
12
6−
1
16
1350 − 170 3
15 + 1620 3
15 ,
6
15 − 38 3
6
1
7
15 +
15
3
36
15 − 38 3
6
1
⎛
7
1
15 ⎜⎜ 2 +
6−
3
5
⎝
12
12
15 + 1620 3
6−
15
⎞ 11
15 ⎟⎟ −
15
⎠ 15
1
7
15 +
15
3
36
⎞ 14
11 2
15 ⎟⎟ −
6+
+
3
⎠ 9
3 9
6
6
15
6
2
⎤ ⎡ 11 4
⎤ ⎡
15 ⎥⎥, ⎢⎢ +
6,
3 ( −3 + 2 6 ) ⎥⎥, ⎢⎢
9
⎦ ⎣3 3
⎦ ⎣
1003 + 358 6 ,
1 ⎛ 51 1
3
⎜⎜ −
−
6−
15 ⎝ 4 4
4
⎤
15 ⎥⎥
⎥,
⎥
⎦
15
⎤ ⎡1
⎛5
5
6 ⎥⎥, ⎢⎢
15 ⎜⎜
3−
3
⎦ ⎣3
⎝ 12
12
−537 + 258 6 + 108 3
17 7
1
6+
+
12 12
12
6
15 +
−2 3 + 15
−8055 − 3870 6 + 570 3
−537 + 258 6 + 108 3
15 ,
6
15 ,
15 3
3
+
16 16
1
⎛ 17 7
1003 + 358 6 + 4 ⎜⎜ +
6+
12
⎝ 12 12
⎞
⎞
⎤
1003 + 358 6 ⎟⎟ 6 ⎟⎟ 3 ⎥⎥,
⎠
⎠
⎦
⎤ ⎡ 3 1
⎡
2
2
⎤ ⎡ 54 2
1
1
⎢⎢ −1 +
6,
3 ⎥⎥, ⎢⎢ +
6,
3 ( −7 + 10 6 ) ⎥⎥, ⎢⎢ − +
6+
⎦ ⎣ 4 3
⎣
3
3
⎦ ⎣ 19 57
57
12
−
1 ⎛ 81
1
⎜⎜ −
+4 6 +
15 ⎝ 4
4
⎡ 5 1
⎢⎢ − +
3
⎣ 4 12
15 +
⎛ 3 1
1
6+
−147 + 108 6 + 2 ⎜⎜ − +
⎝ 4 3
12
1
3
12
−
⎛ 13
1
2
3 ⎜⎜ −
3+
15
⎝ 38
6
57
−
1
57
−
13
2
3+
15
38
57
−
1
57
+
13
2
15 −
3
38
57
+
5
3
36
+
1
108
+
5
3
36
+
1
108
−
1
5
6+
3
36
36
+
1
108
+
3
15
23
1377 − 42 3
15 +
15 +
6+
13
2
15 −
3
38
57
13
2
15 −
3
38
57
6+
15 + 303 3
6
6−
1
57
5
3
108
6
5
3
108
1
1
15 −
15
4
12
⎤ ⎡ 1
6 ⎥⎥, ⎢⎢ −
⎦ ⎣ 2
6
6
⎛
15 − 3 ⎜⎜
⎝
6
⎞ 1
15 − 534 6 ⎟⎟ +
3
⎠ 2
6
15 + 303 3
15 , −
13
2
3+
15
38
57
⎤ ⎡ 19 1
15 − 534 6 ⎥⎥, ⎢⎢ −
6
−
⎦ ⎣ 36 36
9
⎛ 19 1
3 ⎜⎜ −
−
6
23
⎝ 36 36
15 − 1092 3
6
15 , −
15 − 1092 3
6
⎞ 2
8
⎛ 19
15 ⎟⎟ −
3−
3 ⎜⎜ −
⎠ 23
69
⎝ 36
5
3
108
6
42858 − 4572 6 + 5238 3
6
⎞
11
15 ⎟⎟ 6 +
3
⎠
69
15
15 − 1092 3
6+
13
15
23
⎤
6 ⎥⎥,
⎦
15 −
1
3
18
6
15 +
7
7
7
6, −
3+
3
6
12
18
6+
1
1
15 +
15
12
6
⎤
6 ⎥⎥,
⎦
1
4
⎤ ⎡ 1 1
⎛ 13
2
⎡1
⎤ ⎡ 5 16
⎢⎢
6,
3 ( −1 + 6 ) ⎥⎥, ⎢⎢ +
6,
3 ( 6 + 14 ) ⎥⎥, ⎢⎢ − +
3 ⎜⎜
15 −
15
3
57
⎦ ⎣ 2 6
⎝ 38
57
⎣3
⎦ ⎣ 19 57
−
6
15
42858 − 4572 6 + 5238 3
⎡ 43 1
⎢⎢ +
3
⎣ 12 12
6+
15
6
15 +
⎞
⎞
⎤
−147 + 108 6 ⎟⎟ 6 ⎟⎟ 3 ⎥⎥,
⎠
⎠
⎦
⎞
1
1
15 − 534 6 ⎟⎟ 6 −
6+
3
⎠
4
12
1377 − 42 3
42858 − 4572 6 + 5238 3
15 +
1
1
1
6,
3+
3
12
12
12
15 + 303 3
6
1377 − 42 3
6
−147 + 108 6 ,
13
2
3+
3
38
57
6+
1
57
1377 + 534 6 + 303 3
15 + 42 3
6
⎞
1
15 ⎟⎟ 6 +
6
⎠
4
6
⎛ 13
2
15 − 3 ⎜⎜
15 −
15
⎝ 38
57
−
1
3
12
+
1
57
−
13
2
3+
3
38
57
6
1377 + 534 6 + 303 3
6+
1
57
6−
15 + 42 3
13
2
3+
3
38
57
6
⎞ 1
15 ⎟⎟ +
3
⎠ 2
1377 + 534 6 + 303 3
6
15 ,
15 + 42 3
13
2
15 −
15
38
57
6
6
⎤
15 ⎥⎥, [ 1, 2 3 ],
⎦
⎛5 1
⎞⎤ ⎡ 1 3
⎛ 9 3
⎞⎤
⎡2
1
⎤ ⎡1 1
1
1
⎢⎢
6,
3 ( 1 + 2 6 ) ⎥⎥, ⎢⎢ +
33 ,
3 ⎜⎜ +
33 ⎟⎟ ⎥⎥, ⎢⎢ − +
5, −
3 ⎜⎜ − +
5 ⎟⎟ ⎥⎥,
⎝2 2
⎠⎦ ⎣ 4 4
⎝ 2 2
⎠⎦
⎣3
3
⎦ ⎣2 6
3
6
⎡1 3
1
⎛9 3
⎞⎤ ⎡1
⎛ 1
1
⎞ 1
1
⎤
⎢⎢ +
5,
3 ⎜⎜ +
5 ⎟⎟ ⎥⎥, ⎢⎢
3 ⎜⎜ −
3+
39 ⎟⎟, −
3+
39 ⎥⎥,
⎣4 4
6
⎝2 2
⎠⎦ ⎣2
⎝ 2
2
⎠ 4
4
⎦
⎡1 1
1
⎢⎢ +
33 ,
⎣4 4
4
⎤ ⎡ 1 1
⎤
1
22 + 6 33 ⎥⎥, ⎢⎢ − +
33 ,
3 ( 7 + 33 ) ⎥⎥,
⎦ ⎣ 2 6
⎦
6
⎡ 1 1
1
⎢⎢ − +
33 ,
⎣ 2 2
2
⎤ ⎡1 1
1
⎤ ⎡
−26 + 6 33 ⎥⎥, ⎢⎢ +
33 , −
3 ( 33 − 7 ) ⎥⎥, ⎢⎢
⎦ ⎣2 6
6
⎦ ⎣
15 5
1
33 −
−
8 24
24
1
⎛ 117 29
⎜⎜
33 −
−
8
8
⎝ 8
−6870 + 1206 33 , −
1
6
⎛ 15 5
1
−6870 + 1206 33 + ⎜⎜ −
33 −
⎝ 8 24
24
⎤ ⎡ 1
11 1
⎥⎥, ⎢⎢ −
33 +
+
⎦ ⎣ 4
4 12
−78 + 18 33 ,
⎛
⎛ 1
1
11 1
3 ⎜⎜ 12 − 3 33 + 33 ⎜⎜ −
33 +
+
⎝
⎝ 4
3
4 12
⎡ 7 5
5
⎢⎢ − +
33 ,
3
⎣ 6 18
18
⎞
⎞
−6870 + 1206 33 ⎟⎟ 33 ⎟⎟ 3
⎠
⎠
33 −
⎞⎞⎤
−78 + 18 33 ⎟⎟ ⎟⎟ ⎥⎥,
⎠⎠⎦
11
⎤ ⎡5 1
⎤
3 ⎥⎥, ⎢⎢ ,
3 ( 9 + 33 ) ⎥⎥,
18
⎦ ⎣3 9
⎦
31
1
⎛ 2
1
⎡1
⎤ ⎡ 5 1
⎢⎢
33 + , −
3 ( −39 + 33 ) ⎥⎥, ⎢⎢ − +
3 ⎜⎜ −
3+
3
18 54
⎝ 3
9
⎣ 18
⎦ ⎣ 4 12
−
⎛ 2
1
1
3 ⎜⎜ −
3+
3
⎝ 3
4
9
33 +
2
3
⎞ 5
2
1
2 + 33 ⎟⎟ +
33 , −
3+
3
⎠ 12
3
9
33 +
⎞
2 + 33 ⎟⎟ 33
⎠
2
3
33 +
2
3
⎤
2 + 33 ⎥⎥,
⎦
⎡2
17
⎤ ⎡1
4
⎤ ⎡ 13
1
⎤ ⎡ 3 1
1
⎤
⎢⎢
33 ,
3 ⎥⎥, ⎢⎢
33 ,
3 ⎥⎥, ⎢⎢ , −
3 ( −27 + 33 ) ⎥⎥, ⎢⎢ − +
33 ,
3 ( 3 + 33 ) ⎥⎥,
⎣9
9
⎦ ⎣3
3
⎦ ⎣9
27
⎦ ⎣ 2 2
6
⎦
⎡ 3 1
1
⎢⎢ − +
33 +
⎣ 2 3
12
−2406 + 426 33 , −
1
⎛
⎜⎜ −72 + 9 33 +
2
⎝
⎛ 3 1
1
33 +
−2406 + 426 33 + 2 ⎜⎜ − +
⎝ 2 3
12
⎡ 11 1
1
⎢⎢ −
33 +
⎣4 4
12
−366 + 114 33 ,
1
24
⎞
⎤
⎞
−2406 + 426 33 ⎟⎟ 33 ⎟⎟ 3 ⎥⎥,
⎠
⎦
⎠
⎛ 153 19
1
3
3 ⎜⎜
−
33 −
⎝ 4
24
4
4
⎛ 11 1
1
−366 + 114 33 + 33 ⎜⎜ −
33 +
⎝4 4
12
⎞⎞⎤
−366 + 114 33 ⎟⎟ ⎟⎟ ⎥⎥,
⎠⎠⎦
⎡ 5 3
1
⎛3 3
⎞⎤
⎢⎢ − +
13 ,
3 ⎜⎜ +
13 ⎟⎟ ⎥⎥,
⎣ 4 4
6
⎝2 2
⎠⎦
⎡ 3 1
1
⎢⎢ − +
33 +
⎣ 8 8
8
66 + 18 33 , −
1
⎛ 3
15 1
3 ⎜⎜ −
33 −
+
6
⎝ 4
4 4
⎞⎤
66 + 18 33 ⎟⎟ ⎥⎥,
⎠⎦
⎤ ⎡7 1
⎤ ⎡
⎡
5
2
⎤ ⎡ 13 1
1
⎢⎢ −2 +
33 ,
3 ⎥⎥, ⎢⎢ ,
3 ( 27 + 33 ) ⎥⎥, ⎢⎢ +
33 ,
3 ( 33 − 4 ) ⎥⎥, ⎢⎢
⎦ ⎣3 9
⎦ ⎣
⎣
9
9
⎦ ⎣ 9 27
9
−
17 1
1
33 +
+
12 4
12
274 + 50 33 ,
⎛ 17 1
1
274 + 50 33 + ⎜⎜ −
+
33 +
⎝ 12 4
12
1 ⎛ 11 3
1
⎜⎜ −
33 −
+
3⎝ 2 2
2
⎡ 3 1
1
⎢⎢ − +
33 +
⎣ 4 4
4
−78 + 18 33 , −
1 ⎛ 11 3
1
⎜⎜ −
33 −
3⎝ 2 2
2
⎡2
⎢⎢
⎣3
−15 + 3 33 ,
−
274 + 50 33 ,
⎛ 17 1
1
274 + 50 33 + ⎜⎜ −
33 +
⎝ 12 4
12
1
⎛
3 ⎜⎜ −36 + 4 33 + 6
24
⎝
27 13
1
33 +
−
8 24
24
⎞⎤
−78 + 18 33 ⎟⎟ ⎥⎥,
⎠⎦
1
1
⎛ 3 3
3 ⎜⎜ − −
33 +
3
4
⎝ 4 4
⎡ 1 1
1
⎤ ⎡ 17 1
1
⎢⎢ − +
33 ,
3 ( 11 + 33 ) ⎥⎥, ⎢⎢ −
33 +
⎣ 2 6
6
⎦ ⎣ 12 4
12
−
⎞
⎤
⎞
274 + 50 33 ⎟⎟ 33 ⎟⎟ 3 ⎥⎥,
⎠
⎦
⎠
⎞
⎞
⎤
274 + 50 33 ⎟⎟ 33 ⎟⎟ 3 ⎥⎥,
⎠
⎠
⎦
−15 + 3 33 +
2
33
3
⎞⎤ ⎡
−15 + 3 33 ⎟⎟ ⎥⎥, ⎢⎢
⎠⎦ ⎣
−30 + 78 33 ,
1 ⎛ 69 13
1
⎜⎜ −
33 −
6⎝ 2
2
2
⎛ 27 13
1
−30 + 78 33 + 2 ⎜⎜ −
33 +
⎝ 8 24
24
⎞
⎞
⎤
−30 + 78 33 ⎟⎟ 33 ⎟⎟ 3 ⎥⎥,
⎠
⎠
⎦
5
2
⎡
⎤
⎢⎢ 2 +
33 ,
3 ⎥⎥,
9
9
⎣
⎦
⎡1 1
⎢⎢ +
⎣ 2 12
234 − 6 33 ,
⎛
1
1
3 ⎜⎜ −6 + 33 +
⎝
24
2
⎛
1
234 − 6 33 + 33 ⎜⎜ 1 +
⎝
6
1
1
⎡5
⎢⎢ −
33 +
18
⎣ 18 18
274 − 46 33 ,
1 ⎛ 21 1
3
⎜⎜ −
33 +
6⎝ 2 2
2
⎛5
1
1
274 − 46 33 + 5 ⎜⎜ −
33 +
⎝ 18 18
18
19 1
1
33 +
−
12 12
12
−158 + 66 33 ,
1 ⎛ 47 13
1
⎜⎜ −
33 +
12 ⎝ 4
4
4
⎛ 19 1
1
−158 + 66 33 + ⎜⎜ −
33 +
⎝ 12 12
12
⎞⎞⎤
234 − 6 33 ⎟⎟ ⎟⎟ ⎥⎥,
⎠⎠⎦
⎞
⎞
⎤ ⎡
274 − 46 33 ⎟⎟ 33 ⎟⎟ 3 ⎥⎥, ⎢⎢
⎠
⎠
⎦ ⎣
⎞
⎤
⎞
−158 + 66 33 ⎟⎟ 33 ⎟⎟ 3 ⎥⎥,
⎠
⎦
⎠
⎤ ⎡
⎡ 23 8
8
⎤ ⎡5 5
5
⎢⎢ −
33 ,
3 ( 33 + 4 ) ⎥⎥, ⎢⎢ +
33 ,
3 ( 33 + 5 ) ⎥⎥, ⎢⎢
⎦ ⎣
⎣ 9 27
27
⎦ ⎣ 6 18
18
11 1
1
33 +
+
4 4
12
−
−366 + 114 33 , −
⎛ 153 19
3
3 ⎜⎜ −
+
33 −
⎝ 4
4
4
⎡3 1
1
⎢⎢ −
33 +
⎣2 3
12
1
24
⎛ 11 1
1
−366 + 114 33 + 33 ⎜⎜ −
+
33 +
⎝ 4 4
12
⎞⎞⎤
−366 + 114 33 ⎟⎟ ⎟⎟ ⎥⎥,
⎠⎠⎦
−2406 + 426 33 ,
1 ⎛
1
⎜⎜ 72 − 9 33 +
24 ⎝
2
⎛3 1
1
33 +
−2406 + 426 33 + 2 ⎜⎜ −
⎝2 3
12
⎞
⎞
⎤
−2406 + 426 33 ⎟⎟ 33 ⎟⎟ 3 ⎥⎥,
⎠
⎠
⎦
⎡7 3
⎛ 9 3
⎞⎤ ⎡7 3
⎛ 9 3
⎞⎤ ⎡5 8
⎤
1
1
[ 5, 2 3 ], ⎢⎢ +
5, −
3 ⎜⎜ − +
5 ⎟⎟ ⎥⎥, ⎢⎢ −
5, −
3 ⎜⎜ − −
5 ⎟⎟ ⎥⎥, ⎢⎢ ,
3 ⎥⎥,
⎣4 4
⎝ 2 2
⎠⎦ ⎣4 4
⎝ 2 2
⎠⎦ ⎣7 7
⎦
6
6
⎡1 ⎛1
1
⎞
1
1
⎤ ⎡ 9 1
1
⎢⎢ ⎜⎜
3+
39 ⎟⎟ 3 ,
3+
39 ⎥⎥, ⎢⎢ − +
33 +
⎣2 ⎝2
2
⎠
4
4
⎦ ⎣ 8 8
24
522 − 42 33 ,
1 ⎛ 51 11
1
⎜⎜ −
33 +
+
6⎝ 8
8
8
⎞
⎞
⎤
522 − 42 33 ⎟⎟ 33 ⎟⎟ 3 ⎥⎥,
⎠
⎠
⎦
⎛ 9 1
1
522 − 42 33 + ⎜⎜ − +
33 +
⎝ 8 8
24
2
1
⎡5
⎤ ⎡ 15 5
⎢⎢
33 ,
3 ⎥⎥, ⎢⎢ −
33 +
9
24
⎣9
⎦ ⎣ 8 24
⎛ 117 29
1
⎜⎜
−
33 +
⎝ 8
8
8
1
6
⎛ 15 5
1
−6870 + 1206 33 + ⎜⎜ −
33 +
⎝ 8 24
24
⎤ ⎡ 1
11 1
⎥⎥, ⎢⎢ −
33 +
−
⎦ ⎣ 4
4 12
−
−6870 + 1206 33 ,
⎞
⎞
−6870 + 1206 33 ⎟⎟ 33 ⎟⎟ 3
⎠
⎠
−78 + 18 33 ,
1
⎛
⎛ 1
11 1
3 ⎜⎜ 12 − 3 33 + 33 ⎜⎜ −
33 +
−
3
⎝
⎝ 4
4 12
⎞⎞⎤
−78 + 18 33 ⎟⎟ ⎟⎟ ⎥⎥,
⎠⎠⎦
1
37
⎤ ⎡ 5
⎡1 1
⎤ ⎡ 16
⎢⎢ +
33 ,
3 ( 3 + 33 ) ⎥⎥, ⎢⎢
33 ,
3 ⎥⎥, ⎢⎢ −
6
27
⎦ ⎣ 4
⎣2 2
⎦ ⎣ 27
+
⎛2
1
1
3 ⎜⎜
3−
3
⎝3
4
9
+
5
2
1
33 ,
3−
3
12
3
9
33 +
⎞ 1
⎛2
1
2 + 33 ⎟⎟ −
3 ⎜⎜
3−
3
⎠ 12
⎝3
9
2
3
33 +
2
3
357
4099
1
33 −
+
148
148 148
⎛ 61
251
1
+ 5 ⎜⎜
33 +
−
⎝ 444
444 444
2
3
⎞
2 + 33 ⎟⎟ 33
⎠
1
⎞⎤
⎤ ⎡ 1 1
⎛7 1
2 + 33 ⎥⎥, ⎢⎢ − +
105 ,
3 ⎜⎜ +
105 ⎟⎟ ⎥⎥,
3
⎠⎦
⎦ ⎣ 2 6
⎝2 2
⎡ 165
⎤ ⎡ 61
5
1
251
1
⎢⎢
−
33 ,
3 ( 13 + 35 33 ) ⎥⎥, ⎢⎢
33 +
−
⎣ 74 222
⎦ ⎣ 444
222
444 444
−
33 +
120082 + 8718 33
⎞
⎞
⎤
120082 + 8718 33 ⎟⎟ 33 ⎟⎟ 3 ⎥⎥,
⎠
⎠
⎦
120082 + 8718 33 , −
1 ⎛
⎜⎜
24 ⎝
⎤ ⎡
⎡ 11 25
5
⎤ ⎡ 7 5
5
⎢⎢ +
33 ,
3 ( 13 + 2 33 ) ⎥⎥, ⎢⎢ − +
33 ,
3 ( 33 + 5 ) ⎥⎥, ⎢⎢
⎦ ⎣
⎣ 37 111
111
⎦ ⎣ 6 18
18
−
5
1
1
33 +
−
12 12
12
1 ⎛ 47 5
1
⎜⎜ −
33 +
12 ⎝ 4 4
4
251 61
1
33 +
−
444 444
444
−158 + 66 33 ,
⎛ 5
1
1
−158 + 66 33 + ⎜⎜ −
−
33 +
⎝ 12 12
12
120082 − 8718 33 ,
⎛ 251 61
1
33 +
+ 5 ⎜⎜
−
⎝ 444 444
444
> evalf(%); nops(%);
⎞
⎞
⎤ ⎡
−158 + 66 33 ⎟⎟ 33 ⎟⎟ 3 ⎥⎥, ⎢⎢
⎠
⎠
⎦ ⎣
1 ⎛ 4099 357
1
⎜⎜
−
33 +
24 ⎝ 148 148
148
⎞
⎞
120082 − 8718 33 ⎟⎟ 33 ⎟⎟
⎠
⎠
120082 − 8718 33
⎤
⎥
⎤ ⎥⎥
3 ⎥⎥ ⎥
⎦⎦
[ [ 1., 0 ], [ 0, 1.732050808 ], [ 2., 1.732050808 ], [ 3., 0 ], [ 3., 3.464101616 ],
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[ 6.656912985, 1.620798388 ], [ 6.794925303, 1.264334589 ], [ 6.877664387, 0.9816918557 ],
[ 0.8363871360, 0.7922640266 ], [ 1.049266037, 1.999393123 ], [ 1.076750883, 1.560456981 ],
[ 0.400680344, 3.040318622 ], [ 1.696734395, 1.874716295 ], [ 1.675328458, 1.299990511 ],
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[ 1.085145785, 0.5773502693 ], [ 2.207825129, 0.9373139506 ], [ 1.313859338, 1.975219562 ],
[ 4., 1.732050808 ], [ 2.457427108, 1.369637261 ], [ 1.457427108, 1.946987530 ],
[ 1.914854215, 1.154700539 ], [ 2.542572892, 1.946987530 ], [ 0.6666666667, 1.105541597 ],
[ 0.1602533906, 1.629052507 ], [ 0.5425728920, 1.946987530 ], [ 0.2639793019, 1.721977979 ],
[ 2.677133477, 1.089597771 ], [ 2.214837809, 0.9314982209 ], [ 4.790760441, 0.8906048751 ],
[ 0.9502294840, 0.4434015763 ], [ 0.7605533482, 0.9489214451 ],
[ 0.8198089161, 0.8296357684 ], [ 2.134614793, 1.647012227 ], [ 3.695048595, 1.875341956 ],
[ 4.430442384, 1.397796332 ], [ 0.1003476881, 1.670100286 ], [ 2.865414507, 0.7212688242 ],
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[ 2.875906225, 1.996146472 ], [ 2.914854215, 0.5773502693 ], [ 2.762378514, 0.3582278706 ],
[ 2.996368504, 1.999996703 ], [ 4.666666667, 1.105541597 ], [ 6., 5.196152424 ],
[ 1.500000000, 0.204440865 ], [ 1.285714286, 1.979486638 ], [ 2.632993162, 0.5190260483 ],
[ 5., 0 ], [ 1.542572892, 1.369637261 ], [ 1.280137550, 1.980283555 ],
[ 1.343997801, 1.460701909 ], [ 2.283618516, 1.533728631 ], [ 2.257648192, 0.8953099680 ],
[ 0.914854215, 0.5773502693 ], [ 2.359111772, 1.467247489 ], [ 0.826655966, 1.631970584 ],
[ 0.367006838, 1.897187301 ], [ 0.265986323, 1.548314770 ], [ 0.265986323, 2.309401077 ],
[ 0.2500000000, 1.561249500 ], [ 0.343171415, 1.715010750 ], [ 0.449489743, 1.378034646 ],
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[ 2.427050984, 1.401258538 ], [ 2.224463851, 0.9234643164 ], [ 1.036474508, 1.999667375 ],
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[ 0.789799266, 1.988923240 ], [ 0.221042346, 1.842070836 ], [ 0.348034066, 2.188759440 ],
[ 0.9433756730, 0.4725367647 ], [ 0.9726494920, 0.4669646836 ], [ 2.713525492, 1.031421539 ],
[ 0.5895942504, 1.764883315 ], [ 0.581138830, 1.224744871 ], [ 0.8125000000, 1.210307296 ],
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[ 0.746292625, 1.401888577 ], [ 0.782167463, 1.302002028 ], [ 0.8164965809, 1.991563832 ],
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[ 0.7623785137, 0.3582278706 ], [ 0.283861827, 1.533524963 ], [ 3.954163456, 1.128236798 ],
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[ 1.914854215, 4.618802155 ], [ 3.457427108, 1.517114086 ], [ 1.542572892, 4.833738879 ],
[ 0.3591117713, 1.467247489 ], [ 0.322866523, 1.881884763 ], [ 1.867891373, 4.649409511 ],
[ 2.762378514, 3.822329488 ], [ 1., 5.048675599 ], [ 1.146537080, 5.000911885 ],
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[ 3.265986323, 0.5773502693 ], [ 3.156828585, 3.158386424 ], [ 3.265986323, 2.886751347 ],
[ 0.9270509840, 5.069801020 ], [ 3.252472447, 0.5398160715 ], [ 3.314279129, 0.7243038832 ],
[ 1.934530570, 4.605653333 ], [ 0.8913101031, 0.6503430577 ], [ 0.9479235216, 0.6433504992 ],
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[ 1.648337133, 4.778849900 ], [ 0.623663063, 1.167783479 ], [ 1.591986651, 4.808668838 ],
[ 0.767632101, 1.343483661 ], [ 2.202024743, 1.598479440 ], [ 2.755952913, 3.830794134 ],
[ 3.421995441, 2.270518264 ], [ 0.4244181735, 1.403934781 ], [ 0.8369877707, 1.993345685 ],
[ 1.244671225, 4.964819520 ], [ 0.231944305, 1.575535852 ], [ 0.949948448, 5.063356549 ],
[ 2.974199244, 0.3202145366 ], [ 3.401846371, 1.078260878 ], [ 2.923243507, 0.5487571593 ],
[ 3.462773979, 1.636153093 ], [ 2.946320894, 0.8007920057 ], [ 0.632993162, 5.137828204 ],
[ 3.326655966, 0.7659451795 ], [ 2.427050984, 4.203775616 ], [ 3.225147799, 2.996337838 ],
[ 2.943606076, 0.471588190 ], [ 2.883928557, 0.671426231 ], [ 6.932652990, 0.7309175450 ],
[ 6.458703469, 2.009320861 ], [ 0.632993162, 1.154700539 ], [ 2.928052272, 0.5316149339 ],
[ 0.9699809325, 0.3452175044 ], [ 0.8824475337, 0.6755673799 ], [ 2.983376722, 0.2573262204 ],
[ 3.143151660, 0.275823609 ], [ 6.087217433, 2.543440295 ], [ 0.8164965809, 0.8368632936 ],
[ 0.9507339629, 1.999393123 ], [ 0.212760536, 1.838546715 ], [ 1., 3.464101616 ],
[ 1.632993162, 3.405777396 ], [ 1.457427108, 3.101688069 ], [ 1.427050984, 0.3307922691 ],
[ 1.927050984, 2.267283944 ], [ 1.954163457, 1.128236798 ], [ 1.686140662, 1.878619438 ],
[ 0.4574271080, 3.679038341 ], [ 2.372281324, 1.454937789 ], [ 1.457427108, 0.3624135471 ],
[ 0.3610494264, 1.465450262 ], [ 1.733863700, 2.728904190 ], [ 0.429045180, 1.705378499 ],
[ 1.666666667, 2.837592405 ], [ 2.041364591, 1.066668651 ], [ 1.859047033, 1.806111347 ],
[ 1.276569477, 3.271651526 ], [ 1.914854215, 2.309401077 ], [ 1.444444444, 1.363536942 ],
[ 1.372281324, 2.524337801 ], [ 0.9496418676, 0.4459782471 ], [ 2.730232204, 1.003143320 ],
[ 1.454163456, 1.994262202 ], [ 1.970002489, 1.386956333 ], [ 1.191423693, 0.3849001795 ],
[ 1.444444444, 2.100564674 ], [ 2.971618072, 0.3357412380 ], [ 1.993661824, 1.572951682 ],
[ 1.946153747, 2.193012401 ], [ 0.4574271080, 4.833738879 ], [ 1.954713834, 2.155245593 ],
[ 0.9963685040, 0.1204690713 ], [ 1.115316236, 0.07190934268 ], [ 5.191423693, 0.3849001795 ],
[ 1.677133477, 1.881884762 ], [ 0.1321086266, 4.649409508 ], [ 2.343854351, 1.481234446 ],
[ 0.853462920, 5.000911885 ], [ 2.429045180, 5.169480117 ], [ 0.102513528, 1.668671305 ],
[ 0.1199334376, 1.795962934 ], [ 5., 3.464101616 ], [ 3.427050984, 0.3307922691 ],
[ 0.072949016, 2.267283944 ], [ 0.7142857143, 1.979486638 ], [ 3.454163458, 1.994262202 ],
[ 0.2911932718, 1.527357175 ], [ 3.191423693, 0.3849001795 ], [ 0.9953828036, 0.1358214601 ],
[ 0.8938549763, 0.05708956723 ], [ 3.372281324, 2.524337801 ], [ 3.404185272, 2.373551107 ],
[ 0.389140517, 1.904429231 ], [ 1.207825129, 4.978765836 ], [ 2.100347688, 1.670100286 ],
[ 0.4254730223, 1.915703201 ], [ 1.591117713, 1.910649066 ], [ 0.429045180, 5.169480117 ],
[ 0.3438543514, 1.481234446 ], [ 0.3719786391, 1.898838901 ] ]
315
>