K13n3541
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Polynomial invariants
| Jones polynomial | Data:K13n3541/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^2+8 t-9+8 t^{-1} -3 t^{-2} }[/math] |
| Conway polynomial | Data:K13n3541/Conway Polynomial |
| Determinant | 31 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} +z^6-2 a^2 z^4-6 z^4 a^{-2} +z^4 a^{-4} +4 z^4+a^4 z^2-4 a^2 z^2-9 z^2 a^{-2} +3 z^2 a^{-4} +5 z^2+a^4-a^2-3 a^{-2} +2 a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+z^{10} a^{-2} +4 z^{10}+3 a^3 z^9-3 z^9 a^{-1} +a^4 z^8-13 a^2 z^8-5 z^8 a^{-2} +z^8 a^{-4} -20 z^8-15 a^3 z^7-20 a z^7-8 z^7 a^{-1} -z^7 a^{-3} +2 z^7 a^{-5} -5 a^4 z^6+9 a^2 z^6-2 z^6 a^{-2} -6 z^6 a^{-4} +z^6 a^{-6} +19 z^6+21 a^3 z^5+32 a z^5+18 z^5 a^{-1} -2 z^5 a^{-3} -9 z^5 a^{-5} +8 a^4 z^4+7 a^2 z^4+16 z^4 a^{-2} +6 z^4 a^{-4} -4 z^4 a^{-6} +5 z^4-10 a^3 z^3-11 a z^3-7 z^3 a^{-1} +z^3 a^{-3} +7 z^3 a^{-5} -5 a^4 z^2-6 a^2 z^2-14 z^2 a^{-2} -5 z^2 a^{-4} +3 z^2 a^{-6} -7 z^2+a^3 z-z a^{-5} +a^4+a^2+3 a^{-2} +2 a^{-4} +2 }[/math] |
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