K13n341
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Polynomial invariants
| Jones polynomial | Data:K13n341/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+14 t^2-25 t+31-25 t^{-1} +14 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n341/Conway Polynomial |
| Determinant | 121 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+5 a^2 z^6-z^6-3 a^4 z^4+9 a^2 z^4-2 z^4-3 a^4 z^2+6 a^2 z^2-z^2 a^{-2} -a^4+a^2- a^{-2} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+6 a^4 z^{10}+10 a^2 z^{10}+4 z^{10}+7 a^5 z^9+5 a^3 z^9+2 z^9 a^{-1} +4 a^6 z^8-17 a^4 z^8-38 a^2 z^8-17 z^8+a^7 z^7-24 a^5 z^7-39 a^3 z^7-22 a z^7-8 z^7 a^{-1} -13 a^6 z^6+8 a^4 z^6+49 a^2 z^6+z^6 a^{-2} +29 z^6-3 a^7 z^5+22 a^5 z^5+53 a^3 z^5+45 a z^5+17 z^5 a^{-1} +10 a^6 z^4-3 a^4 z^4-28 a^2 z^4+2 z^4 a^{-2} -13 z^4+2 a^7 z^3-11 a^5 z^3-30 a^3 z^3-26 a z^3-8 z^3 a^{-1} +z^3 a^{-3} -2 a^6 z^2+3 a^4 z^2+8 a^2 z^2-3 z^2 a^{-2} +3 a^5 z+6 a^3 z+4 a z-z a^{-3} -a^4-a^2+ a^{-2} +2 }[/math] |
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