K13n4167
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Polynomial invariants
| Jones polynomial | Data:K13n4167/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+21 t^2-47 t+61-47 t^{-1} +21 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4167/Conway Polynomial |
| Determinant | 205 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -3 z^6+5 a^2 z^4+z^4 a^{-4} -9 z^4-2 a^4 z^2+10 a^2 z^2+2 z^2 a^{-2} +z^2 a^{-4} -10 z^2-2 a^4+5 a^2+ a^{-2} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a z^{11}+3 z^{11} a^{-1} +6 a^2 z^{10}+10 z^{10} a^{-2} +16 z^{10}+4 a^3 z^9+5 a z^9+14 z^9 a^{-1} +13 z^9 a^{-3} +a^4 z^8-12 a^2 z^8-19 z^8 a^{-2} +9 z^8 a^{-4} -41 z^8-2 a^3 z^7-16 a z^7-53 z^7 a^{-1} -35 z^7 a^{-3} +4 z^7 a^{-5} +6 a^4 z^6+29 a^2 z^6+12 z^6 a^{-2} -21 z^6 a^{-4} +z^6 a^{-6} +57 z^6+3 a^5 z^5+3 a^3 z^5+21 a z^5+67 z^5 a^{-1} +38 z^5 a^{-3} -8 z^5 a^{-5} -12 a^4 z^4-41 a^2 z^4-2 z^4 a^{-2} +15 z^4 a^{-4} -2 z^4 a^{-6} -48 z^4-5 a^5 z^3-9 a^3 z^3-18 a z^3-34 z^3 a^{-1} -18 z^3 a^{-3} +2 z^3 a^{-5} +7 a^4 z^2+22 a^2 z^2+2 z^2 a^{-2} -4 z^2 a^{-4} +21 z^2+2 a^5 z+4 a^3 z+5 a z+5 z a^{-1} +2 z a^{-3} -2 a^4-5 a^2- a^{-2} -3 }[/math] |
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