續(xù)《31邊形（一）》

三．求解sin(2*k*pi/31)

1.提取不含5次根號(hào)的實(shí)數(shù)項(xiàng)Bx1和5次根式Bxy（y不等于1）

B11=2*(sin(2*pi/31)+sin(4*pi/31)+sin(8*pi/31)+sin(16*pi/31)+sin(32*pi/31))是實(shí)數(shù);

B12=2*(sin(2*pi/31)+f1*sin(4*pi/31)+f2*sin(8*pi/31)+f3*sin(16*pi/31)+f4*sin(32*pi/31));

B13=2*(sin(2*pi/31)+f2*sin(4*pi/31)+f4*sin(8*pi/31)+f1*sin(16*pi/31)+f3*sin(32*pi/31));

B14=2*(sin(2*pi/31)+f3*sin(4*pi/31)+f1*sin(8*pi/31)+f4*sin(16*pi/31)+f2*sin(32*pi/31));

B15=2*(sin(2*pi/31)+f4*sin(4*pi/31)+f3*sin(8*pi/31)+f2*sin(16*pi/31)+f1*sin(32*pi/31));

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B21=2*(sin(10*pi/31)+sin(20*pi/31)+sin(40*pi/31)+sin(18*pi/31)+sin(36*pi/31))是實(shí)數(shù);

B22=2*(sin(10*pi/31)+f1*sin(20*pi/31)+f2*sin(40*pi/31)+f3*sin(18*pi/31)+f4*sin(36*pi/31));

B23=2*(sin(10*pi/31)+f2*sin(20*pi/31)+f4*sin(40*pi/31)+f1*sin(18*pi/31)+f3*sin(36*pi/31));

B24=2*(sin(10*pi/31)+f3*sin(20*pi/31)+f1*sin(40*pi/31)+f4*sin(18*pi/31)+f2*sin(36*pi/31));

B25=2*(sin(10*pi/31)+f4*sin(20*pi/31)+f3*sin(40*pi/31)+f2*sin(18*pi/31)+f1*sin(36*pi/31));

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B31=2*(sin(50*pi/31)+sin(38*pi/31)+sin(14*pi/31)+sin(28*pi/31)+sin(56*pi/31))是實(shí)數(shù);

B32=2*(sin(50*pi/31)+f1*sin(38*pi/31)+f2*sin(14*pi/31)+f3*sin(28*pi/31)+f4*sin(56*pi/31));

B33=2*(sin(50*pi/31)+f2*sin(38*pi/31)+f4*sin(14*pi/31)+f1*sin(28*pi/31)+f3*sin(56*pi/31));

B34=2*(sin(50*pi/31)+f3*sin(38*pi/31)+f1*sin(14*pi/31)+f4*sin(28*pi/31)+f2*sin(56*pi/31));

B35=2*(sin(50*pi/31)+f4*sin(38*pi/31)+f3*sin(14*pi/31)+f2*sin(28*pi/31)+f1*sin(56*pi/31));

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很容易得到

B11=(sqrt(31)+(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-23*sqrt(31)+12*sqrt(-93))^(1/3))/3;

B21=(sqrt(31)+w1*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+w2*(-23*sqrt(31)+12*sqrt(-93))^(1/3))/3;

B31=(sqrt(31)+w2*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+w1*(-23*sqrt(31)+12*sqrt(-93))^(1/3))/3;

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再設(shè)定中間變量H。

H11=B11^5; H12=B12^5; H13=H13^5; H14=B14^5; H15=B15^5;

H21=B21^5; H22=B22^5; H23=H23^5; H24=B24^5; H25=B25^5;

H31=B31^5; H32=B32^5; H33=H33^5; H34=B34^5; H35=B35^5;

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2.設(shè)五次根式內(nèi)Hxy=Kx1+Kx2*fy-1+Kx3*(fy-1)^2+Kx4*(fy-1)^3+Kx5*(fy-1)^4。sqrt(31)*K全部滿足整系數(shù)的一元三次方程！求解對(duì)應(yīng)的5個(gè)三次方程。

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2-1第一項(xiàng)

K11=(H11+H12+H13+H14+H15)/5;

K21=(H21+H22+H23+H24+H25)/5;

K31=(H31+H32+H33+H34+H35)/5;

K11=(156*sqrt(31)+(237-122*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(237+122*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))/3;

K21=(156*sqrt(31)+(237-122*sqrt(-3))*w1*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(237+122*sqrt(-3))*w2*(-23*sqrt(31)+12*sqrt(-93))^(1/3))/3;

K31=(156*sqrt(31)+(237-122*sqrt(-3))*w2*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(237+122*sqrt(-3))*w1*(-23*sqrt(31)+12*sqrt(-93))^(1/3))/3;

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2-2第二項(xiàng)

K12=(H11+H12/f1+H13/f2+H14/f3+H15/f4)/5;

K22=(H21+H22/f1+H23/f2+H24/f3+H25/f4)/5;

K32=(H31+H32/f1+H33/f2+H34/f3+H35/f4)/5;

K12=(20*sqrt(31)+(-47.5+97.5*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-47.5-97.5*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))/3;

K22=(20*sqrt(31)+(-47.5+97.5*sqrt(-3))*w1*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-47.5-97.5*sqrt(-3))*w2*(-23*sqrt(31)+12*sqrt(-93))^(1/3))/3;

K32=(20*sqrt(31)+(-47.5+97.5*sqrt(-3))*w2*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-47.5-97.5*sqrt(-3))*w1*(-23*sqrt(31)+12*sqrt(-93))^(1/3))/3;

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2-3第三項(xiàng)

K13=(H11+H12/f2+H13/f4+H14/f1+H15/f3)/5;

K23=(H21+H22/f2+H23/f4+H24/f1+H25/f3)/5;

K33=(H31+H32/f2+H33/f4+H34/f1+H35/f3)/5;

K13=(215*sqrt(31)+(-130+65*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-130-65*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))/3;

K23=(215*sqrt(31)+(-130+65*sqrt(-3))*w1*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-130-65*sqrt(-3))*w2*(-23*sqrt(31)+12*sqrt(-93))^(1/3))/3;

K33=(215*sqrt(31)+(-130+65*sqrt(-3))*w2*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-130-65*sqrt(-3))*w1*(-23*sqrt(31)+12*sqrt(-93))^(1/3))/3;

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2-4第四項(xiàng)

K14=(H11+H12/f3+H13/f1+H14/f4+H15/f2)/5;

K24=(H21+H22/f3+H23/f1+H24/f4+H25/f2)/5;

K34=(H31+H32/f3+H33/f1+H34/f4+H35/f2)/5;

K14=(280*sqrt(31)+(47.5-67.5*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(47.5+67.5*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))/3;

K24=(280*sqrt(31)+(47.5-67.5*sqrt(-3))*w1*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(47.5+67.5*sqrt(-3))*w2*(-23*sqrt(31)+12*sqrt(-93))^(1/3))/3;

K34=(280*sqrt(31)+(47.5-67.5*sqrt(-3))*w2*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(47.5+67.5*sqrt(-3))*w1*(-23*sqrt(31)+12*sqrt(-93))^(1/3))/3;

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2-5第五項(xiàng)

K15=(H11+H12/f4+H13/f3+H14/f2+H15/f1)/5;

K25=(H21+H22/f4+H23/f3+H24/f2+H25/f1)/5;

K35=(H31+H32/f4+H33/f3+H34/f2+H35/f1)/5;

K15=(-330*sqrt(31)+(120+135*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(120-135*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))/3;

K25=(-330*sqrt(31)+(120+135*sqrt(-3))*w1*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(120-135*sqrt(-3))*w2*(-23*sqrt(31)+12*sqrt(-93))^(1/3))/3;

K35=(-330*sqrt(31)+(120+135*sqrt(-3))*w2*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(120-135*sqrt(-3))*w1*(-23*sqrt(31)+12*sqrt(-93))^(1/3))/3;

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2-6整理得到H值

代入中間變量K以及根據(jù)1+f1+f2+f3+f4=0：

H12=(486*sqrt(31)+(117-257*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(117+257*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3)+(350*sqrt(31)+(-167.5-37.5*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-167.5+37.5*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f1+(545*sqrt(31)+(-250-70*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-250+70*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f2+(610*sqrt(31)+(-72.5-202.5*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-72.5+202.5*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f3)/3;

H13=(486*sqrt(31)+(117-257*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(117+257*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3)+(350*sqrt(31)+(-167.5-37.5*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-167.5+37.5*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f2+(545*sqrt(31)+(-250-70*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-250+70*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f4+(610*sqrt(31)+(-72.5-202.5*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-72.5+202.5*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f1)/3;

H14=(486*sqrt(31)+(117-257*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(117+257*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3)+(350*sqrt(31)+(-167.5-37.5*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-167.5+37.5*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f3+(545*sqrt(31)+(-250-70*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-250+70*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f1+(610*sqrt(31)+(-72.5-202.5*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-72.5+202.5*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f4)/3;

H12=(486*sqrt(31)+(117-257*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(117+257*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3)+(350*sqrt(31)+(-167.5-37.5*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-167.5+37.5*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f4+(545*sqrt(31)+(-250-70*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-250+70*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f3+(610*sqrt(31)+(-72.5-202.5*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-72.5+202.5*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f2)/3;

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H22=(486*sqrt(31)+(327+187*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(327-187*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3)+(350*sqrt(31)+(140-65*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(140+65*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f1+(545*sqrt(31)+(230-90*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(230+90*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f2+(610*sqrt(31)+(340+65*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(340-65*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f3)/3;

H23=(486*sqrt(31)+(327+187*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(327-187*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3)+(350*sqrt(31)+(140-65*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(140+65*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f2+(545*sqrt(31)+(230-90*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(230+90*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f4+(610*sqrt(31)+(340+65*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(340-65*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f1)/3;

H24=(486*sqrt(31)+(327+187*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(327-187*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3)+(350*sqrt(31)+(140-65*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(140+65*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f3+(545*sqrt(31)+(230-90*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(230+90*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f1+(610*sqrt(31)+(340+65*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(340-65*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f4)/3;

H25=(486*sqrt(31)+(327+187*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(327-187*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3)+(350*sqrt(31)+(140-65*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(140+65*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f4+(545*sqrt(31)+(230-90*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(230+90*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f3+(610*sqrt(31)+(340+65*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(340-65*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f2)/3;

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H32=(486*sqrt(31)+(-444+70*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-444-70*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3)+(350*sqrt(31)+(27.5+102.5*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(27.5-102.5*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f1+(545*sqrt(31)+(20+160*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(20-160*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f2+(610*sqrt(31)+(-267.5+137.5*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-267.5-137.5*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f3)/3;

H33=(486*sqrt(31)+(-444+70*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-444-70*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3)+(350*sqrt(31)+(27.5+102.5*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(27.5-102.5*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f2+(545*sqrt(31)+(20+160*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(20-160*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f4+(610*sqrt(31)+(-267.5+137.5*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-267.5-137.5*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f1)/3;

H34=(486*sqrt(31)+(-444+70*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-444-70*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3)+(350*sqrt(31)+(27.5+102.5*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(27.5-102.5*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f3+(545*sqrt(31)+(20+160*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(20-160*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f1+(610*sqrt(31)+(-267.5+137.5*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-267.5-137.5*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f4)/3;

H35=(486*sqrt(31)+(-444+70*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-444-70*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3)+(350*sqrt(31)+(27.5+102.5*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(27.5-102.5*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f4+(545*sqrt(31)+(20+160*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(20-160*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f3+(610*sqrt(31)+(-267.5+137.5*sqrt(-3))*(-23*sqrt(31)-12*sqrt(-93))^(1/3)+(-267.5-137.5*sqrt(-3))*(-23*sqrt(31)+12*sqrt(-93))^(1/3))*f2)/3;

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三．對(duì)比五次根式H^(1/5)與Bxy（y不等于1）輻角，用Bx1、H^(1/5)線性表示sin(2*k*pi/31)。上述參數(shù)都有加粗的具體表達(dá)式。

3-1 k=1為開頭，2為底數(shù)

sin(2*pi/31)=(B11+f2*H12^0.2+f3*H15^0.2+f1*H13^0.2+f4*H14^0.2)/10;

sin(4*pi/31)=(B11+f1*H12^0.2+f4*H15^0.2+f4*H13^0.2+f1*H14^0.2)/10;

sin(8*pi/31)=(B11+H12^0.2+H15^0.2+f2*H13^0.2+f3*H14^0.2)/10;

sin(16*pi/31)=(B11+f4*H12^0.2+f1*H15^0.2+H13^0.2+H14^0.2)/10;

sin(32*pi/31)=(B11+f3*H12^0.2+f2*H15^0.2+f3*H13^0.2+f2*H14^0.2)/10;

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3-2 k=5為開頭，2為底數(shù)

sin(10*pi/31)=(B21+H22^0.2+H25^0.2+f1*H23^0.2+f4*H24^0.2)/10;

sin(20*pi/31)=(B21+f4*H22^0.2+f1*H25^0.2+f4*H23^0.2+f1*H24^0.2)/10;

sin(40*pi/31)=(B21+f3*H22^0.2+f2*H25^0.2+f2*H23^0.2+f3*H24^0.2)/10;

sin(18*pi/31)=(B21+f2*H22^0.2+f3*H25^0.2+H23^0.2+H24^0.2)/10;

sin(36*pi/31)=(B21+f1*H22^0.2+f4*H25^0.2+f3*H23^0.2+f2*H24^0.2)/10;

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3-3 k=25為開頭，2為底數(shù)

sin(50*pi/31)=(B31+f2*H32^0.2+f3*H35^0.2+f4*H33^0.2+f1*H34^0.2)/10;

sin(38*pi/31)=(B31+f1*H32^0.2+f4*H35^0.2+f2*H33^0.2+f3*H34^0.2)/10;

sin(14*pi/31)=(B31+H32^0.2+H35^0.2+H33^0.2+H34^0.2)/10;

sin(28*pi/31)=(B31+f4*H32^0.2+f1*H35^0.2+f3*H33^0.2+f2*H34^0.2)/10;

sin(56*pi/31)=(B31+f3*H32^0.2+f2*H35^0.2+f1*H33^0.2+f4*H34^0.2)/10;

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四．x^31=1的30個(gè)復(fù)數(shù)解xk=cos(2*k*pi/31)+j*sin(2*k*pi/31)，這不同于up主x_4597在求解x^31=1視頻中的表達(dá)式，但數(shù)值相同。

x1=(A11+f1*G12^0.2+f4*G15^0.2+G13^0.2+G14^0.2+j*(B11+f2*H12^0.2+f3*H15^0.2+f1*H13^0.2+f4*H14^0.2))/10;

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x2=(A11+G12^0.2+G15^0.2+f3*G13^0.2+f2*G14^0.2+j*(B11+f1*H12^0.2+f4*H15^0.2+f4*H13^0.2+f1*H14^0.2))/10;

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x3=(A31+G32^0.2+G35^0.2+f1*G33^0.2+f4*G34^0.2-j*(B31+f3*H32^0.2+f2*H35^0.2+f1*H33^0.2+f4*H34^0.2))/10;

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x4=(A11+f4*G12^0.2+f1*G15^0.2+f1*G13^0.2+f4*G14^0.2+j*(B11+H12^0.2+H15^0.2+f2*H13^0.2+f3*H14^0.2))/10;

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x5=(A21+G22^0.2+G25^0.2+G23^0.2+G24^0.2+j*(B21+H22^0.2+H25^0.2+f1*H23^0.2+f4*H24^0.2))/10;

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x6=(A31+f4*G32^0.2+f1*G35^0.2+f4*G33^0.2+f1*G34^0.2-j*(B31+f2*H32^0.2+f3*H35^0.2+f4*H33^0.2+f1*H34^0.2))/10;

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x7=(A31+f2*G32^0.2+f3*G35^0.2+G33^0.2+G34^0.2+j*(B31+H32^0.2+H35^0.2+H33^0.2+H34^0.2))/10;

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x8=(A11+f3*G12^0.2+f2*G15^0.2+f4*G13^0.2+f1*G14^0.2+j*(B11+f4*H12^0.2+f1*H15^0.2+H13^0.2+H14^0.2))/10;

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x9=(A21+f2*G22^0.2+f3*G25^0.2+f4*G23^0.2+f1*G24^0.2+j*(B21+f2*H22^0.2+f3*H25^0.2+H23^0.2+H24^0.2))/10;

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x10=(A21+f4*G22^0.2+f1*G25^0.2+f3*G23^0.2+f2*G24^0.2+j*(B21+f4*H22^0.2+f1*H25^0.2+f4*H23^0.2+f1*H24^0.2))/10;

?

x11=(A21+f3*G22^0.2+f2*G25^0.2+f1*G23^0.2+f4*G24^0.2-j*(B21+f3*H22^0.2+f2*H25^0.2+f2*H23^0.2+f3*H24^0.2))/10;

?

x12=(A31+f3*G32^0.2+f2*G35^0.2+f2*G33^0.2+f3*G34^0.2-j*(B31+f1*H32^0.2+f4*H35^0.2+f2*H33^0.2+f3*H34^0.2))/10;

?

x13=(A21+f1*G22^0.2+f4*G25^0.2+f2*G23^0.2+f3*G24^0.2-j*(B21+f1*H22^0.2+f4*H25^0.2+f3*H23^0.2+f2*H24^0.2))/10;

?

x14=(A31+f1*G32^0.2+f4*G35^0.2+f3*G33^0.2+f2*G34^0.2+j*(B31+f4*H32^0.2+f1*H35^0.2+f3*H33^0.2+f2*H34^0.2))/10;

?

x15=(A11+f2*G12^0.2+f3*G15^0.2+f2*G13^0.2+f3*G14^0.2-j*(B11+f3*H12^0.2+f2*H15^0.2+f3*H13^0.2+f2*H14^0.2))/10;

?

x16=(A11+f2*G12^0.2+f3*G15^0.2+f2*G13^0.2+f3*G14^0.2+j*(B11+f3*H12^0.2+f2*H15^0.2+f3*H13^0.2+f2*H14^0.2))/10;

?

x17=(A31+f1*G32^0.2+f4*G35^0.2+f3*G33^0.2+f2*G34^0.2-j*(B31+f4*H32^0.2+f1*H35^0.2+f3*H33^0.2+f2*H34^0.2))/10;

?

x18=(A21+f1*G22^0.2+f4*G25^0.2+f2*G23^0.2+f3*G24^0.2+j*(B21+f1*H22^0.2+f4*H25^0.2+f3*H23^0.2+f2*H24^0.2))/10;

?

x19=(A31+f3*G32^0.2+f2*G35^0.2+f2*G33^0.2+f3*G34^0.2+j*(B31+f1*H32^0.2+f4*H35^0.2+f2*H33^0.2+f3*H34^0.2))/10;

?

x20=(A21+f3*G22^0.2+f2*G25^0.2+f1*G23^0.2+f4*G24^0.2+j*(B21+f3*H22^0.2+f2*H25^0.2+f2*H23^0.2+f3*H24^0.2))/10;

?

x21=(A21+f4*G22^0.2+f1*G25^0.2+f3*G23^0.2+f2*G24^0.2-j*(B21+f4*H22^0.2+f1*H25^0.2+f4*H23^0.2+f1*H24^0.2))/10;

?

x22=(A21+f2*G22^0.2+f3*G25^0.2+f4*G23^0.2+f1*G24^0.2-j*(B21+f2*H22^0.2+f3*H25^0.2+H23^0.2+H24^0.2))/10;

?

x23=(A11+f3*G12^0.2+f2*G15^0.2+f4*G13^0.2+f1*G14^0.2-j*(B11+f4*H12^0.2+f1*H15^0.2+H13^0.2+H14^0.2))/10;

?

x24=(A31+f2*G32^0.2+f3*G35^0.2+G33^0.2+G34^0.2-j*(B31+H32^0.2+H35^0.2+H33^0.2+H34^0.2))/10;

?

x25=(A31+f4*G32^0.2+f1*G35^0.2+f4*G33^0.2+f1*G34^0.2+j*(B31+f2*H32^0.2+f3*H35^0.2+f4*H33^0.2+f1*H34^0.2))/10;

?

x26=(A21+G22^0.2+G25^0.2+G23^0.2+G24^0.2-j*(B21+H22^0.2+H25^0.2+f1*H23^0.2+f4*H24^0.2))/10;

?

x27=(A11+f4*G12^0.2+f1*G15^0.2+f1*G13^0.2+f4*G14^0.2-j*(B11+H12^0.2+H15^0.2+f2*H13^0.2+f3*H14^0.2))/10;

?

x28=(A31+G32^0.2+G35^0.2+f1*G33^0.2+f4*G34^0.2+j*(B31+f3*H32^0.2+f2*H35^0.2+f1*H33^0.2+f4*H34^0.2))/10;

?

x29=(A11+G12^0.2+G15^0.2+f3*G13^0.2+f2*G14^0.2-j*(B11+f1*H12^0.2+f4*H15^0.2+f4*H13^0.2+f1*H14^0.2))/10;

?

x30=(A11+f1*G12^0.2+f4*G15^0.2+G13^0.2+G14^0.2-j*(B11+f2*H12^0.2+f3*H15^0.2+f1*H13^0.2+f4*H14^0.2))/10.