K13n4292
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Polynomial invariants
| Jones polynomial | Data:K13n4292/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-11 t^2+16 t-17+16 t^{-1} -11 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4292/Conway Polynomial |
| Determinant | 83 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6+2 z^6 a^{-2} -6 z^6+4 a^2 z^4+9 z^4 a^{-2} -z^4 a^{-4} -13 z^4+4 a^2 z^2+12 z^2 a^{-2} -3 z^2 a^{-4} -12 z^2+a^2+5 a^{-2} -2 a^{-4} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +9 z^{10} a^{-2} +3 z^{10} a^{-4} +6 z^{10}+7 a z^9-6 z^9 a^{-3} +z^9 a^{-5} +5 a^2 z^8-49 z^8 a^{-2} -18 z^8 a^{-4} -26 z^8+3 a^3 z^7-28 a z^7-36 z^7 a^{-1} -11 z^7 a^{-3} -6 z^7 a^{-5} +a^4 z^6-14 a^2 z^6+85 z^6 a^{-2} +36 z^6 a^{-4} +34 z^6-6 a^3 z^5+32 a z^5+72 z^5 a^{-1} +47 z^5 a^{-3} +13 z^5 a^{-5} +a^4 z^4+5 a^2 z^4-59 z^4 a^{-2} -28 z^4 a^{-4} -27 z^4+3 a^5 z^3+2 a^3 z^3-19 a z^3-46 z^3 a^{-1} -40 z^3 a^{-3} -12 z^3 a^{-5} +a^6 z^2-a^4 z^2+a^2 z^2+22 z^2 a^{-2} +9 z^2 a^{-4} +16 z^2-a^5 z-a^3 z+4 a z+10 z a^{-1} +10 z a^{-3} +4 z a^{-5} -a^2-5 a^{-2} -2 a^{-4} -3 }[/math] |
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