K13n2552
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Polynomial invariants
| Jones polynomial | Data:K13n2552/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+23 t^2-50 t+65-50 t^{-1} +23 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2552/Conway Polynomial |
| Determinant | 225 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-a^2 z^6-2 z^6 a^{-2} +5 z^6-2 a^2 z^4-5 z^4 a^{-2} +z^4 a^{-4} +13 z^4-a^4 z^2-3 a^2 z^2-6 z^2 a^{-2} +14 z^2-a^4-a^2-3 a^{-2} +6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +4 a^2 z^{10}+9 z^{10} a^{-2} +13 z^{10}+3 a^3 z^9+11 a z^9+24 z^9 a^{-1} +16 z^9 a^{-3} +a^4 z^8+a^2 z^8+6 z^8 a^{-2} +14 z^8 a^{-4} -8 z^8+a^3 z^7-19 a z^7-51 z^7 a^{-1} -25 z^7 a^{-3} +6 z^7 a^{-5} +4 a^4 z^6-4 a^2 z^6-44 z^6 a^{-2} -25 z^6 a^{-4} +z^6 a^{-6} -26 z^6+3 a^5 z^5+6 a z^5+16 z^5 a^{-1} -7 z^5 a^{-5} -7 a^4 z^4+8 a^2 z^4+31 z^4 a^{-2} +8 z^4 a^{-4} +38 z^4-6 a^5 z^3-4 a^3 z^3+10 a z^3+15 z^3 a^{-1} +7 z^3 a^{-3} +3 a^4 z^2-7 a^2 z^2-10 z^2 a^{-2} +z^2 a^{-4} -21 z^2+3 a^5 z+2 a^3 z-5 a z-7 z a^{-1} -2 z a^{-3} +z a^{-5} -a^4+a^2+3 a^{-2} +6 }[/math] |
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