K13n3883
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Polynomial invariants
| Jones polynomial | Data:K13n3883/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-9 t^3+17 t^2-23 t+27-23 t^{-1} +17 t^{-2} -9 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3883/Conway Polynomial |
| Determinant | 129 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8+z^8-a^4 z^6+4 a^2 z^6-z^6 a^{-2} +5 z^6-3 a^4 z^4+3 a^2 z^4-5 z^4 a^{-2} +8 z^4-a^4 z^2-2 a^2 z^2-7 z^2 a^{-2} +z^2 a^{-4} +5 z^2+a^4-a^2-3 a^{-2} +2 a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+5 a^4 z^{10}+9 a^2 z^{10}+4 z^{10}+6 a^5 z^9+a^3 z^9-a z^9+4 z^9 a^{-1} +4 a^6 z^8-14 a^4 z^8-32 a^2 z^8+3 z^8 a^{-2} -11 z^8+a^7 z^7-20 a^5 z^7-16 a^3 z^7-6 a z^7-10 z^7 a^{-1} +z^7 a^{-3} -14 a^6 z^6+9 a^4 z^6+44 a^2 z^6-8 z^6 a^{-2} +13 z^6-3 a^7 z^5+16 a^5 z^5+15 a^3 z^5+5 a z^5+10 z^5 a^{-1} +z^5 a^{-3} +12 a^6 z^4-5 a^4 z^4-29 a^2 z^4+15 z^4 a^{-2} +3 z^4 a^{-4} +2 a^7 z^3-3 a^5 z^3-6 a^3 z^3+8 a z^3+5 z^3 a^{-1} -4 z^3 a^{-3} -a^6 z^2+4 a^2 z^2-12 z^2 a^{-2} -7 z^2 a^{-4} -2 z^2-a^3 z-5 a z-3 z a^{-1} +z a^{-3} +a^4+a^2+3 a^{-2} +2 a^{-4} +2 }[/math] |
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