روش حل معادلات از درجه سوم یا چهارم چیست؟

[SuB]

در اوایل قرن 19 ثابت شد که هیچ فرمول جبری برای تعیین صفرهای تابع‌های چند جمله‌ای از درجه 5 به بالا وجود ندارد.

[mir@]

خسته نباشید

لطفا تابع معکوس y=x^3+x

را بدست آورید

اولاً شما جاي x و y رو بت هم عوض كنيد و همه رو بياريد يك طرف.

(*)

حالا براي پيدا كردن معكوس تابعي كه داديد، در معادله بالا y رو بر حسب x پيدا كنيد.

=-=-=-=-=-=-=-=-=-=-=-=-=-=-=

معادله زير رو در نظر بگيريد:

جواب اين معادله عبارتست از

كه در آن

=-=-=-=-=-=-=-=-=-=-=-=-=-=-=

حالا در معادله (*) كه قرار بود حل كنيم، بنابراين با حل معادله (*) با فرمول‌هاي بالا معكوس تابع به دست مياد كه چيز گنده‌ايه

اميدوارم يه چيزايي فهميده باشي

[masoodnodet]

باید با y مثل یک عدد ثابت برخورد کرد و جوابهای x را به دست آورد که عبارتی بر حسب y می شود . حال در این عبارت اگر به جای x قرار دهیم y و به جای y قرار دهیم x مساله حل می شود. حال می ماند اینکه چگونه x را بر حسب y به دست آوریم که برای این باید روش حل معادلات درجه 3 را بدانیم که یک بحث طولانی است ولی ارزش یاد گرفتن را دارد .

[sherlockholmz]

سلام همگي خسته نباشيد من يه سوال دارم نمي تونم حلش كنم اينه:

اگرpعددي اول باشد جوابهاي صحيح معادله زير را بدست آوريد.
p(x+y)=xy
اگر تونستيد برام به اين ادرس ميل كنيد
[ برای مشاهده لینک ، با نام کاربری خود وارد شوید یا ثبت نام کنید ]
يه راهنمايي اينه گفتن از لم اقليدس استفاده شود.

سلام،
نمي دانم ديره يا نه ولي برات مي نويسم

اما:

[nadernader172]

بدست آوردن ریشه های گویای معادلات درجه n
1- ضریب جمله با بزرگترین درجه را یافته و تمام اعداد صحیح(مثبت و منفی) که آنرا عاد میکنند پیدا کرده و آنرا sبنامید.
2- تمام اعدادصحح (مثبت و منفی) را که عدد ثابت معادله را عاد میکنند را یافته و آنرا r بنامید.
3- تمام r و s هایی را که در r,s)=1)صدق میکنند پیدا کرده و تمام r/s های ممکن را حساب میکنیم.
4- هرکدام که در معادله صدق کند ریشه گویای معادله است.
توجه داشته باشید که اگر معادله عدد ثابت نداشته باشد یکی از ریشه های آن صفر است و معادله به یک معادله با یک درجه کمتر تبدیل و راحت تر حل میشود.

[pp8khat]

از همه تشکر می کنم...
اما این فرمول ها به سادگی دلتا نیست...
راستی کسی بلده فرمول دلتا رو ثابت کنه؟
ممنونم

[khatarat]

اگه دو تا معادله داشته باشیم که دو مجهولی باشه و یکی از مجهول ها هم درجه دو باشه بصورتی که در یک معادله یک مجهول دو تا است و دیگری یکی و در معادله دیگر برعکس چطور می شه حلش کرد؟

[maary]

روش حل معادله درجه 4؟؟؟

[lebesgue]

سلام
چطوری میشه فهمید که یک معادله درجه 3 چند ریشه دارد و این ریشه ها
چگونه هستند(مضاعف یا ساده، مثبت یا منفی و...)

[sanih]

-1/4*b/a+1/12*3^(1/2)/a*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)+1/12/a*(-(-18*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)+48*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)+6*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-72*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)*d*b*a+288*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)*e*a^2+24*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)*a*c^2+144*3^(1/2)*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*d*a^2+18*3^(1/2)*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*b^3-72*3^(1/2)*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*b*c*a)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)/((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2))^(1/2)






-1/4*b/a+1/12*3^(1/2)/a*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)-1/12/a*(-(-18*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)+48*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)+6*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-72*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)*d*b*a+288*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)*e*a^2+24*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)*a*c^2+144*3^(1/2)*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*d*a^2+18*3^(1/2)*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*b^3-72*3^(1/2)*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*b*c*a)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)/((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2))^(1/2)





-1/4*b/a-1/12*3^(1/2)/a*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)+1/12/a*(-(-18*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)+48*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)+6*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c 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^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2))^(1/2)






-1/4*b/a-1/12*3^(1/2)/a*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)-1/12/a*(-(-18*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)+48*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)+6*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-72*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)*d*b*a+288*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)*e*a^2+24*((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2)*a*c^2-144*3^(1/2)*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*d*a^2-18*3^(1/2)*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*b^3+72*3^(1/2)*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*b*c*a)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)/((3*b^2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)-8*c*a*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(2/3)*a-24*d*b*a+96*e*a^2+8*a*c^2)/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(12*e*b^2*c ^3+12*d^2*a*c^3-48*e*a*c^4+384*e^2*a^2*c^2-3*d^2*b^2*c^2+18*d^2*b^2*e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3))^(1/2))^(1/2)