K13n382
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Polynomial invariants
| Jones polynomial | Data:K13n382/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+20 t^2-40 t+51-40 t^{-1} +20 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n382/Conway Polynomial |
| Determinant | 185 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-a^2 z^6-2 z^6 a^{-2} +5 z^6-2 a^2 z^4-6 z^4 a^{-2} +z^4 a^{-4} +11 z^4-a^4 z^2-a^2 z^2-6 z^2 a^{-2} +z^2 a^{-4} +9 z^2-a^4+a^2- a^{-2} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+5 z^{10} a^{-2} +8 z^{10}+3 a^3 z^9+11 a z^9+18 z^9 a^{-1} +10 z^9 a^{-3} +a^4 z^8+10 z^8 a^{-2} +10 z^8 a^{-4} -z^8-3 a^3 z^7-25 a z^7-41 z^7 a^{-1} -14 z^7 a^{-3} +5 z^7 a^{-5} +4 a^4 z^6+2 a^2 z^6-45 z^6 a^{-2} -21 z^6 a^{-4} +z^6 a^{-6} -25 z^6+3 a^5 z^5+9 a^3 z^5+29 a z^5+27 z^5 a^{-1} -5 z^5 a^{-3} -9 z^5 a^{-5} -10 a^4 z^4-6 a^2 z^4+40 z^4 a^{-2} +11 z^4 a^{-4} -z^4 a^{-6} +32 z^4-6 a^5 z^3-15 a^3 z^3-18 a z^3-4 z^3 a^{-1} +8 z^3 a^{-3} +3 z^3 a^{-5} +6 a^4 z^2+3 a^2 z^2-12 z^2 a^{-2} -2 z^2 a^{-4} -13 z^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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