K13n1220
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Polynomial invariants
| Jones polynomial | Data:K13n1220/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-19 t^2+32 t-37+32 t^{-1} -19 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1220/Conway Polynomial |
| Determinant | 155 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+a^4 z^6-4 a^2 z^6+2 z^6+2 a^4 z^4-5 a^2 z^4-z^4 a^{-2} +7 z^4-2 a^2 z^2-3 z^2 a^{-2} +8 z^2-a^4-2 a^{-2} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+8 a^2 z^{10}+4 z^{10}+5 a^5 z^9+13 a^3 z^9+13 a z^9+5 z^9 a^{-1} +2 a^6 z^8-a^4 z^8-9 a^2 z^8+3 z^8 a^{-2} -3 z^8-10 a^5 z^7-40 a^3 z^7-45 a z^7-14 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6-10 a^4 z^6-18 a^2 z^6-10 z^6 a^{-2} -17 z^6+5 a^7 z^5+19 a^5 z^5+43 a^3 z^5+43 a z^5+10 z^5 a^{-1} -4 z^5 a^{-3} +a^8 z^4+4 a^6 z^4+17 a^4 z^4+25 a^2 z^4+11 z^4 a^{-2} +22 z^4-4 a^7 z^3-12 a^5 z^3-21 a^3 z^3-19 a z^3-z^3 a^{-1} +5 z^3 a^{-3} -a^8 z^2-4 a^6 z^2-5 a^4 z^2-9 a^2 z^2-6 z^2 a^{-2} -13 z^2+3 a^5 z+5 a^3 z+2 a z-2 z a^{-1} -2 z a^{-3} -a^4+2 a^{-2} +4 }[/math] |
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