K13n3422
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Polynomial invariants
| Jones polynomial | Data:K13n3422/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+20 t^2-30 t+33-30 t^{-1} +20 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3422/Conway Polynomial |
| Determinant | 149 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+z^4 a^8+4 z^2 a^8+3 a^8-2 z^6 a^6-7 z^4 a^6-8 z^2 a^6-5 a^6+z^8 a^4+4 z^6 a^4+6 z^4 a^4+7 z^2 a^4+4 a^4-z^6 a^2-2 z^4 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^3 a^{11}-z a^{11}+z^6 a^{10}+4 z^4 a^{10}-4 z^2 a^{10}+a^{10}+2 z^9 a^9-6 z^7 a^9+15 z^5 a^9-7 z^3 a^9+z a^9+4 z^{10} a^8-11 z^8 a^8+9 z^6 a^8+15 z^4 a^8-14 z^2 a^8+3 a^8+2 z^{11} a^7+5 z^9 a^7-34 z^7 a^7+52 z^5 a^7-25 z^3 a^7+3 z a^7+11 z^{10} a^6-27 z^8 a^6+2 z^6 a^6+32 z^4 a^6-24 z^2 a^6+5 a^6+2 z^{11} a^5+12 z^9 a^5-55 z^7 a^5+55 z^5 a^5-21 z^3 a^5+2 z a^5+7 z^{10} a^4-11 z^8 a^4-20 z^6 a^4+31 z^4 a^4-16 z^2 a^4+4 a^4+9 z^9 a^3-26 z^7 a^3+16 z^5 a^3-3 z^3 a^3+z a^3+5 z^8 a^2-14 z^6 a^2+10 z^4 a^2-2 z^2 a^2+z^7 a-2 z^5 a+z^3 a }[/math] |
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