K13n4275
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Polynomial invariants
| Jones polynomial | Data:K13n4275/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+16 t^2-26 t+31-26 t^{-1} +16 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4275/Conway Polynomial |
| Determinant | 129 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-2 a^4 z^6+5 a^2 z^6-z^6+a^6 z^4-7 a^4 z^4+9 a^2 z^4-3 z^4+2 a^6 z^2-6 a^4 z^2+6 a^2 z^2-2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+5 a^6 z^{10}+10 a^4 z^{10}+5 a^2 z^{10}+4 a^7 z^9+3 a^5 z^9+4 a^3 z^9+5 a z^9+a^8 z^8-19 a^6 z^8-33 a^4 z^8-10 a^2 z^8+3 z^8-18 a^7 z^7-35 a^5 z^7-25 a^3 z^7-7 a z^7+z^7 a^{-1} -4 a^8 z^6+17 a^6 z^6+26 a^4 z^6+5 a^2 z^6+25 a^7 z^5+46 a^5 z^5+16 a^3 z^5-a z^5+4 z^5 a^{-1} +5 a^8 z^4+2 a^6 z^4-7 a^4 z^4-10 a^2 z^4+4 z^4 a^{-2} -2 z^4-10 a^7 z^3-14 a^5 z^3-a^3 z^3+a z^3-z^3 a^{-1} +z^3 a^{-3} -2 a^8 z^2-3 a^6 z^2+2 a^4 z^2+4 a^2 z^2-z^2 a^{-2} +1 }[/math] |
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