K13n2748
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Polynomial invariants
| Jones polynomial | Data:K13n2748/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+12 t^2-19 t+23-19 t^{-1} +12 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2748/Conway Polynomial |
| Determinant | 97 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+6 a^2 z^6-2 z^6-4 a^4 z^4+14 a^2 z^4+z^4 a^{-2} -9 z^4-5 a^4 z^2+15 a^2 z^2+3 z^2 a^{-2} -13 z^2-2 a^4+6 a^2+2 a^{-2} -5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+4 a^4 z^{10}+8 a^2 z^{10}+4 z^{10}+4 a^5 z^9-4 a^3 z^9-5 a z^9+3 z^9 a^{-1} +3 a^6 z^8-15 a^4 z^8-39 a^2 z^8+z^8 a^{-2} -20 z^8+a^7 z^7-14 a^5 z^7-5 a^3 z^7-3 a z^7-13 z^7 a^{-1} -12 a^6 z^6+18 a^4 z^6+74 a^2 z^6-z^6 a^{-2} +43 z^6-4 a^7 z^5+10 a^5 z^5+14 a^3 z^5+23 a z^5+26 z^5 a^{-1} +3 z^5 a^{-3} +12 a^6 z^4-16 a^4 z^4-68 a^2 z^4+z^4 a^{-4} -41 z^4+4 a^7 z^3-a^5 z^3-14 a^3 z^3-21 a z^3-18 z^3 a^{-1} -6 z^3 a^{-3} -3 a^6 z^2+8 a^4 z^2+30 a^2 z^2+3 z^2 a^{-2} -2 z^2 a^{-4} +24 z^2-a^7 z+4 a^3 z+6 a z+5 z a^{-1} +2 z a^{-3} -2 a^4-6 a^2-2 a^{-2} -5 }[/math] |
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