735.sagews

var('a,b,g');
dv = [b, 12*b^2+9*b*a^2-12*b-4*b^3+4, 4+9*b*a^2-12*b-12*g^2*b^2+12*b^2-4*b^3-8*b^3*g^3+12*b^3*g^2,9*b*a^2-108*b^3*g^3-4*b^3-108*b^3*g^2-36*b^3*g+72*g*b^2+12*b^2+108*g^2*b^2-36*g*b-12*b+4];
surfaces = sum(map(lambda p:implicit_plot3d(p,(g,-1,1),(a,-5,5),(b,-5,5),opacity=0.7, color='automatic'), dv));

surfaces.show();
surfaces.show(viewer='tachyon');

dv2 =\
[b, 4+9*a^2*b-12*b-36*b*g+108*b^2*g^2+12*b^2+72*b^2*g-4*b^3-108*b^3*g^3-108*b^\
3*g^2-36*b^3*g, 64-576*b-1728*b*g-248832*b^7*g^5-995328*b^6*g^6+18432*b^2*g^2+\
2304*b^2+13824*b^2*g+1175040*b^8*g^4-96768*b^9*g^3-2239488*b^9*g^9-746496*b^9*\
g^8+1492992*b^9*g^7+746496*b^8*g^8+995328*b^9*g^6-2985984*b^8*g^7-41472*b^9*g^\
5-2985984*b^8*g^6+1492992*b^7*g^7-235008*b^9*g^4+165888*b^8*g^5+2985984*b^7*g^\
6-64*b^9+1213056*a^2*b^7*g^5+668736*a^2*b^7*g^4-1213056*a^2*b^6*g^5-69984*a^4*\
b^5*g^3+248832*a^2*b^7*g^3-1337472*a^2*b^6*g^4-40824*a^4*b^5*g^2+59616*a^2*b^7\
*g^2-746496*a^2*b^6*g^3+668736*a^2*b^5*g^4-8748*a^4*b^5*g+7776*a^2*b^7*g+40824\
*a^4*b^4*g^2-238464*a^2*b^6*g^2+746496*a^2*b^5*g^3+729*a^6*b^3-972*a^4*b^5+432\
*a^2*b^7+17496*a^4*b^4*g-38880*a^2*b^6*g+357696*a^2*b^5*g^2-248832*a^2*b^4*g^3\
+2916*a^4*b^4-2592*a^2*b^6-8748*a^4*b^3*g+77760*a^2*b^5*g-238464*a^2*b^4*g^2-\
2916*a^4*b^3+6480*a^2*b^5-77760*a^2*b^4*g+59616*a^2*b^3*g^2+972*a^4*b^2-8640*a\
^2*b^4+38880*a^2*b^3*g+6480*a^2*b^3-7776*a^2*b^2*g-2592*a^2*b^2+432*a^2*b+\
1088640*a^2*b^7*g^6+576*b^8-2304*b^7+5376*b^6-8064*b^5+8064*b^4-5376*b^3-18432\
*b^9*g^2+580608*b^8*g^3-2350080*b^7*g^4+165888*b^6*g^5-1728*b^9*g+129024*b^8*g\
^2-1451520*b^7*g^3+2350080*b^6*g^4-41472*b^5*g^5+13824*b^8*g-387072*b^7*g^2+\
1935360*b^6*g^3-1175040*b^5*g^4-48384*b^7*g+645120*b^6*g^2-1451520*b^5*g^3+\
235008*b^4*g^4+96768*b^6*g-645120*b^5*g^2+580608*b^4*g^3-120960*b^5*g+387072*b\
^4*g^2-96768*b^3*g^3+96768*b^4*g-129024*b^3*g^2-48384*b^3*g];
surfaces2 = sum(map(lambda p:implicit_plot3d(p,(g,-1,1),(a,-5,5),(b,-5,5),opacity=0.7, color='automatic',plot_points=60), dv2));

surfaces2.show();
surfaces2.show(viewer='tachyon');