K13n2441
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Polynomial invariants
| Jones polynomial | Data:K13n2441/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-14 t^2+20 t-21+20 t^{-1} -14 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2441/Conway Polynomial |
| Determinant | 103 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+2 a^2 z^6+z^6 a^{-2} -5 z^6-a^4 z^4+9 a^2 z^4+3 z^4 a^{-2} -9 z^4-4 a^4 z^2+13 a^2 z^2+2 z^2 a^{-2} -9 z^2-3 a^4+7 a^2+ a^{-2} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +5 a^2 z^{10}+5 z^{10} a^{-2} +10 z^{10}+4 a^3 z^9+2 a z^9+2 z^9 a^{-1} +4 z^9 a^{-3} +a^4 z^8-20 a^2 z^8-20 z^8 a^{-2} +z^8 a^{-4} -42 z^8-15 a^3 z^7-36 a z^7-39 z^7 a^{-1} -18 z^7 a^{-3} +2 a^4 z^6+30 a^2 z^6+18 z^6 a^{-2} -4 z^6 a^{-4} +50 z^6+4 a^5 z^5+24 a^3 z^5+60 a z^5+64 z^5 a^{-1} +24 z^5 a^{-3} +2 a^6 z^4-9 a^4 z^4-33 a^2 z^4+5 z^4 a^{-4} -27 z^4+a^7 z^3-5 a^5 z^3-22 a^3 z^3-40 a z^3-35 z^3 a^{-1} -11 z^3 a^{-3} -a^6 z^2+10 a^4 z^2+23 a^2 z^2-z^2 a^{-2} -2 z^2 a^{-4} +13 z^2-a^7 z+2 a^5 z+8 a^3 z+10 a z+7 z a^{-1} +2 z a^{-3} -3 a^4-7 a^2- a^{-2} -4 }[/math] |
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