K13n3538
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Polynomial invariants
| Jones polynomial | Data:K13n3538/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+24 t^2-48 t+61-48 t^{-1} +24 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3538/Conway Polynomial |
| Determinant | 221 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-a^2 z^6-2 z^6 a^{-2} +4 z^6-a^2 z^4-5 z^4 a^{-2} +z^4 a^{-4} +7 z^4-a^4 z^2+a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} +4 z^2-a^4+2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +5 a^2 z^{10}+8 z^{10} a^{-2} +13 z^{10}+4 a^3 z^9+13 a z^9+22 z^9 a^{-1} +13 z^9 a^{-3} +a^4 z^8-3 a^2 z^8+5 z^8 a^{-2} +11 z^8 a^{-4} -10 z^8-2 a^3 z^7-27 a z^7-50 z^7 a^{-1} -20 z^7 a^{-3} +5 z^7 a^{-5} +6 a^4 z^6+8 a^2 z^6-38 z^6 a^{-2} -21 z^6 a^{-4} +z^6 a^{-6} -14 z^6+3 a^5 z^5+6 a^3 z^5+23 a z^5+31 z^5 a^{-1} +3 z^5 a^{-3} -8 z^5 a^{-5} -11 a^4 z^4-14 a^2 z^4+30 z^4 a^{-2} +12 z^4 a^{-4} -z^4 a^{-6} +14 z^4-5 a^5 z^3-10 a^3 z^3-13 a z^3-8 z^3 a^{-1} +3 z^3 a^{-3} +3 z^3 a^{-5} +6 a^4 z^2+8 a^2 z^2-7 z^2 a^{-2} -2 z^2 a^{-4} -3 z^2+2 a^5 z+4 a^3 z+3 a z+z a^{-1} -a^4-2 a^2 }[/math] |
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