K13n2153
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Polynomial invariants
| Jones polynomial | Data:K13n2153/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^3+8 t^2-16 t+21-16 t^{-1} +8 t^{-2} -3 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2153/Conway Polynomial |
| Determinant | 77 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+7 a^2 z^6-z^6-5 a^4 z^4+19 a^2 z^4-4 z^4-9 a^4 z^2+22 a^2 z^2-z^2 a^{-2} -7 z^2-5 a^4+10 a^2-4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+5 a^2 z^{10}+2 z^{10}+3 a^5 z^9+a^3 z^9-a z^9+z^9 a^{-1} +2 a^6 z^8-13 a^4 z^8-25 a^2 z^8-10 z^8+a^7 z^7-12 a^5 z^7-19 a^3 z^7-10 a z^7-4 z^7 a^{-1} -8 a^6 z^6+22 a^4 z^6+53 a^2 z^6+z^6 a^{-2} +24 z^6-5 a^7 z^5+13 a^5 z^5+41 a^3 z^5+35 a z^5+12 z^5 a^{-1} +7 a^6 z^4-28 a^4 z^4-60 a^2 z^4+2 z^4 a^{-2} -23 z^4+7 a^7 z^3-7 a^5 z^3-39 a^3 z^3-37 a z^3-10 z^3 a^{-1} +2 z^3 a^{-3} -a^6 z^2+20 a^4 z^2+36 a^2 z^2-2 z^2 a^{-2} +13 z^2-3 a^7 z+2 a^5 z+13 a^3 z+12 a z+3 z a^{-1} -z a^{-3} -5 a^4-10 a^2-4 }[/math] |
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