K13n2305
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Polynomial invariants
| Jones polynomial | Data:K13n2305/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^3+4 t^2-3 t+3-3 t^{-1} +4 t^{-2} -3 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2305/Conway Polynomial |
| Determinant | 25 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+7 a^2 z^6-z^6-6 a^4 z^4+17 a^2 z^4-5 z^4+a^6 z^2-10 a^4 z^2+18 a^2 z^2-7 z^2+a^6-5 a^4+7 a^2-2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+4 a^2 z^{10}+2 z^{10}+2 a^5 z^9-3 a^3 z^9-4 a z^9+z^9 a^{-1} +a^6 z^8-11 a^4 z^8-26 a^2 z^8-14 z^8-12 a^5 z^7-8 a^3 z^7-3 a z^7-7 z^7 a^{-1} -6 a^6 z^6+15 a^4 z^6+54 a^2 z^6+33 z^6+18 a^5 z^5+24 a^3 z^5+22 a z^5+16 z^5 a^{-1} +7 a^6 z^4-11 a^4 z^4-51 a^2 z^4-33 z^4-2 a^7 z^3-10 a^5 z^3-15 a^3 z^3-20 a z^3-13 z^3 a^{-1} -a^8 z^2-3 a^6 z^2+12 a^4 z^2+28 a^2 z^2+14 z^2+2 a^5 z+4 a^3 z+4 a z+2 z a^{-1} -a^6-5 a^4-7 a^2-2 }[/math] |
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