K13n410
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Polynomial invariants
| Jones polynomial | Data:K13n410/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+14 t^2-22 t+27-22 t^{-1} +14 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n410/Conway Polynomial |
| Determinant | 113 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-z^6 a^{-2} +5 z^6+a^4 z^4-8 a^2 z^4-3 z^4 a^{-2} +8 z^4+3 a^4 z^2-9 a^2 z^2-z^2 a^{-2} +3 z^2+2 a^4-2 a^2+2 a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+2 z^{10} a^{-2} +5 z^{10}+5 a^3 z^9+4 a z^9+z^9 a^{-3} +5 a^4 z^8-3 a^2 z^8-7 z^8 a^{-2} -15 z^8+3 a^5 z^7-13 a^3 z^7-18 a z^7-2 z^7 a^{-1} +a^6 z^6-14 a^4 z^6-8 a^2 z^6+19 z^6 a^{-2} +4 z^6 a^{-4} +22 z^6-8 a^5 z^5+13 a^3 z^5+27 a z^5+4 z^5 a^{-1} -z^5 a^{-3} +z^5 a^{-5} -3 a^6 z^4+12 a^4 z^4+18 a^2 z^4-24 z^4 a^{-2} -9 z^4 a^{-4} -12 z^4+4 a^5 z^3-11 a^3 z^3-12 a z^3+4 z^3 a^{-1} -z^3 a^{-3} -2 z^3 a^{-5} +2 a^6 z^2-8 a^4 z^2-13 a^2 z^2+13 z^2 a^{-2} +3 z^2 a^{-4} +7 z^2+3 a^3 z+a z-3 z a^{-1} -z a^{-3} +2 a^4+2 a^2-2 a^{-2} -1 }[/math] |
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