در اوایل قرن 19 ثابت شد که هیچ فرمول جبری برای تعیین صفرهای تابع‌های چند جمله‌ای از درجه 5 به بالا وجود ندارد.
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در اوایل قرن 19 ثابت شد که هیچ فرمول جبری برای تعیین صفرهای تابع‌های چند جمله‌ای از درجه 5 به بالا وجود ندارد.
اولاً شما جاي x و y رو بت هم عوض كنيد و همه رو بياريد يك طرف.نقل قول:
حالا براي پيدا كردن معكوس تابعي كه داديد، در معادله بالا y رو بر حسب x پيدا كنيد.
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معادله زير رو در نظر بگيريد:
[ برای مشاهده لینک ، با نام کاربری خود وارد شوید یا ثبت نام کنید ]
جواب اين معادله عبارتست از
[ برای مشاهده لینک ، با نام کاربری خود وارد شوید یا ثبت نام کنید ]
كه در آن
[ برای مشاهده لینک ، با نام کاربری خود وارد شوید یا ثبت نام کنید ]
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حالا در معادله (*) كه قرار بود حل كنيم، [ برای مشاهده لینک ، با نام کاربری خود وارد شوید یا ثبت نام کنید ] بنابراين با حل معادله (*) با فرمول‌هاي بالا معكوس تابع به دست مياد كه چيز گنده‌ايه [ برای مشاهده لینک ، با نام کاربری خود وارد شوید یا ثبت نام کنید ]
اميدوارم يه چيزايي فهميده باشي
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 .
نقل قول:اما:
سلام،
نمي دانم ديره يا نه ولي برات مي نويسم
[ برای مشاهده لینک ، با نام کاربری خود وارد شوید یا ثبت نام کنید ]
[ برای مشاهده لینک ، با نام کاربری خود وارد شوید یا ثبت نام کنید ]
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.
از همه تشکر می کنم...
اما این فرمول ها به سادگی دلتا نیست...
راستی کسی بلده فرمول دلتا رو ثابت کنه؟
ممنونم
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؟
روش حل معادله درجه 4؟؟؟
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...)
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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))^(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 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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))^(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)-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 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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)*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)