K13n2112
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Polynomial invariants
| Jones polynomial | Data:K13n2112/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-15 t^2+24 t-27+24 t^{-1} -15 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2112/Conway Polynomial |
| Determinant | 119 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+a^4 z^6-5 a^2 z^6+2 z^6+4 a^4 z^4-9 a^2 z^4-z^4 a^{-2} +7 z^4-a^6 z^2+5 a^4 z^2-7 a^2 z^2-2 z^2 a^{-2} +7 z^2-a^6+2 a^4-2 a^2- a^{-2} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+6 a^2 z^{10}+4 z^{10}+a^5 z^9+4 a^3 z^9+9 a z^9+6 z^9 a^{-1} -4 a^4 z^8-11 a^2 z^8+4 z^8 a^{-2} -3 z^8-2 a^5 z^7-20 a^3 z^7-36 a z^7-17 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6+3 a^4 z^6-10 a^2 z^6-13 z^6 a^{-2} -25 z^6+9 a^5 z^5+31 a^3 z^5+32 a z^5+7 z^5 a^{-1} -3 z^5 a^{-3} +4 a^6 z^4+10 a^4 z^4+27 a^2 z^4+12 z^4 a^{-2} +33 z^4+2 a^7 z^3-6 a^5 z^3-19 a^3 z^3-11 a z^3+3 z^3 a^{-1} +3 z^3 a^{-3} -4 a^6 z^2-10 a^4 z^2-15 a^2 z^2-5 z^2 a^{-2} -14 z^2-a^7 z+a^5 z+4 a^3 z+2 a z-z a^{-1} -z a^{-3} +a^6+2 a^4+2 a^2+ a^{-2} +3 }[/math] |
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