K13n3450
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Polynomial invariants
| Jones polynomial | Data:K13n3450/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+7 t^2-23 t+35-23 t^{-1} +7 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3450/Conway Polynomial |
| Determinant | 97 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^8-3 z^2 a^6-2 a^6+3 z^4 a^4+5 z^2 a^4+3 a^4-z^6 a^2-3 z^4 a^2-6 z^2 a^2-3 a^2+z^4+1+ a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+4 a^6 z^{10}+9 a^4 z^{10}+5 a^2 z^{10}+3 a^7 z^9-a^5 z^9+a^3 z^9+5 a z^9+a^8 z^8-16 a^6 z^8-36 a^4 z^8-17 a^2 z^8+2 z^8-14 a^7 z^7-23 a^5 z^7-29 a^3 z^7-20 a z^7-5 a^8 z^6+14 a^6 z^6+34 a^4 z^6+8 a^2 z^6-7 z^6+20 a^7 z^5+35 a^5 z^5+38 a^3 z^5+24 a z^5+z^5 a^{-1} +8 a^8 z^4+2 a^6 z^4-3 a^4 z^4+13 a^2 z^4+10 z^4-11 a^7 z^3-14 a^5 z^3-11 a^3 z^3-8 a z^3-5 a^8 z^2-6 a^6 z^2-8 a^4 z^2-12 a^2 z^2+z^2 a^{-2} -4 z^2+2 a^7 z-2 a^3 z+a^8+2 a^6+3 a^4+3 a^2- a^{-2} +1 }[/math] |
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