K13n1192
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Polynomial invariants
| Jones polynomial | Data:K13n1192/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-2 t^3+4 t^2-6 t+7-6 t^{-1} +4 t^{-2} -2 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1192/Conway Polynomial |
| Determinant | 33 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}+2 a^{10}-z^6 a^8-7 z^4 a^8-16 z^2 a^8-11 a^8+z^8 a^6+8 z^6 a^6+24 z^4 a^6+31 z^2 a^6+14 a^6-z^6 a^4-5 z^4 a^4-8 z^2 a^4-4 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^3 a^{11}-2 z a^{11}+z^6 a^{10}-z^4 a^{10}+3 z^2 a^{10}-2 a^{10}+z^9 a^9-7 z^7 a^9+22 z^5 a^9-24 z^3 a^9+10 z a^9+z^{10} a^8-8 z^8 a^8+28 z^6 a^8-41 z^4 a^8+32 z^2 a^8-11 a^8+2 z^9 a^7-14 z^7 a^7+44 z^5 a^7-54 z^3 a^7+22 z a^7+z^{10} a^6-8 z^8 a^6+29 z^6 a^6-47 z^4 a^6+37 z^2 a^6-14 a^6+z^9 a^5-7 z^7 a^5+23 z^5 a^5-32 z^3 a^5+14 z a^5+2 z^6 a^4-7 z^4 a^4+8 z^2 a^4-4 a^4+z^5 a^3-4 z^3 a^3+4 z a^3 }[/math] |
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