K13n3277
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Polynomial invariants
| Jones polynomial | Data:K13n3277/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+18 t^2-42 t+55-42 t^{-1} +18 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3277/Conway Polynomial |
| Determinant | 181 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -2 z^6+4 a^2 z^4-z^4 a^{-2} +z^4 a^{-4} -4 z^4-2 a^4 z^2+7 a^2 z^2-z^2 a^{-2} +z^2 a^{-4} -2 z^2-2 a^4+3 a^2- a^{-2} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +4 a^2 z^{10}+7 z^{10} a^{-2} +11 z^{10}+3 a^3 z^9+4 a z^9+11 z^9 a^{-1} +10 z^9 a^{-3} +a^4 z^8-6 a^2 z^8-10 z^8 a^{-2} +8 z^8 a^{-4} -25 z^8-a^3 z^7-6 a z^7-33 z^7 a^{-1} -24 z^7 a^{-3} +4 z^7 a^{-5} +4 a^4 z^6+18 a^2 z^6+4 z^6 a^{-2} -19 z^6 a^{-4} +z^6 a^{-6} +38 z^6+3 a^5 z^5+2 a^3 z^5+4 a z^5+35 z^5 a^{-1} +21 z^5 a^{-3} -9 z^5 a^{-5} -9 a^4 z^4-28 a^2 z^4-2 z^4 a^{-2} +13 z^4 a^{-4} -2 z^4 a^{-6} -36 z^4-6 a^5 z^3-7 a^3 z^3-5 a z^3-14 z^3 a^{-1} -6 z^3 a^{-3} +4 z^3 a^{-5} +6 a^4 z^2+15 a^2 z^2+z^2 a^{-2} -2 z^2 a^{-4} +12 z^2+3 a^5 z+4 a^3 z+a z-z a^{-1} -z a^{-3} -2 a^4-3 a^2+ a^{-2} +1 }[/math] |
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