K13n3413
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Polynomial invariants
| Jones polynomial | Data:K13n3413/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-8 t^2+19 t-23+19 t^{-1} -8 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n3413/Conway Polynomial |
| Determinant | 79 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-2 a^2 z^4-2 z^4 a^{-2} +2 z^4+a^4 z^2-3 a^2 z^2-3 z^2 a^{-2} +z^2 a^{-4} +a^4+ a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +4 a^2 z^{10}+5 z^{10} a^{-2} +9 z^{10}+3 a^3 z^9-2 a z^9-z^9 a^{-1} +4 z^9 a^{-3} +a^4 z^8-17 a^2 z^8-24 z^8 a^{-2} +z^8 a^{-4} -43 z^8-14 a^3 z^7-23 a z^7-30 z^7 a^{-1} -21 z^7 a^{-3} -5 a^4 z^6+17 a^2 z^6+32 z^6 a^{-2} -5 z^6 a^{-4} +59 z^6+19 a^3 z^5+41 a z^5+56 z^5 a^{-1} +34 z^5 a^{-3} +8 a^4 z^4-4 a^2 z^4-15 z^4 a^{-2} +7 z^4 a^{-4} -34 z^4-10 a^3 z^3-21 a z^3-32 z^3 a^{-1} -22 z^3 a^{-3} -z^3 a^{-5} -5 a^4 z^2+2 z^2 a^{-2} -4 z^2 a^{-4} +11 z^2+2 a^3 z+3 a z+5 z a^{-1} +5 z a^{-3} +z a^{-5} +a^4+ a^{-4} -1 }[/math] |
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