K13n4122
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Polynomial invariants
| Jones polynomial | Data:K13n4122/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+20 t^2-35 t+43-35 t^{-1} +20 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4122/Conway Polynomial |
| Determinant | 169 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-z^6 a^{-2} +4 z^6+a^4 z^4-6 a^2 z^4-2 z^4 a^{-2} +5 z^4+2 a^4 z^2-5 a^2 z^2+z^2+a^4-a^2+ a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +7 a^2 z^{10}+3 z^{10} a^{-2} +10 z^{10}+10 a^3 z^9+10 a z^9+z^9 a^{-1} +z^9 a^{-3} +8 a^4 z^8-10 a^2 z^8-5 z^8 a^{-2} -23 z^8+4 a^5 z^7-23 a^3 z^7-35 a z^7-3 z^7 a^{-1} +5 z^7 a^{-3} +a^6 z^6-17 a^4 z^6-a^2 z^6+14 z^6 a^{-2} +5 z^6 a^{-4} +26 z^6-8 a^5 z^5+19 a^3 z^5+43 a z^5+8 z^5 a^{-1} -7 z^5 a^{-3} +z^5 a^{-5} -2 a^6 z^4+9 a^4 z^4+8 a^2 z^4-16 z^4 a^{-2} -7 z^4 a^{-4} -12 z^4+3 a^5 z^3-12 a^3 z^3-23 a z^3-8 z^3 a^{-1} -z^3 a^{-3} -z^3 a^{-5} +a^6 z^2-4 a^4 z^2-6 a^2 z^2+6 z^2 a^{-2} +z^2 a^{-4} +4 z^2+3 a^3 z+5 a z+3 z a^{-1} +z a^{-3} +a^4+a^2- a^{-2} }[/math] |
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