K13n4247
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Polynomial invariants
| Jones polynomial | Data:K13n4247/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-9 t^2+15 t-17+15 t^{-1} -9 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4247/Conway Polynomial |
| Determinant | 75 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+a^4 z^6-6 a^2 z^6+z^6+5 a^4 z^4-13 a^2 z^4+3 z^4-a^6 z^2+8 a^4 z^2-11 a^2 z^2+z^2 a^{-2} +2 z^2-a^6+3 a^4-2 a^2+ a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+4 a^3 z^9+5 a z^9+z^9 a^{-1} +5 a^4 z^8+6 a^2 z^8+z^8+2 a^5 z^7-9 a^3 z^7-10 a z^7+z^7 a^{-1} -16 a^4 z^6-27 a^2 z^6+3 z^6 a^{-2} -8 z^6-2 a^5 z^5+3 a^3 z^5-7 a z^5-12 z^5 a^{-1} +4 a^6 z^4+26 a^4 z^4+32 a^2 z^4-9 z^4 a^{-2} +z^4+a^7 z^3+6 a^5 z^3+9 a^3 z^3+16 a z^3+12 z^3 a^{-1} -3 a^6 z^2-15 a^4 z^2-16 a^2 z^2+6 z^2 a^{-2} +2 z^2-a^7 z-3 a^5 z-5 a^3 z-6 a z-3 z a^{-1} +a^6+3 a^4+2 a^2- a^{-2} }[/math] |
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