K13n4259
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Polynomial invariants
| Jones polynomial | Data:K13n4259/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-27 t^2+53 t-65+53 t^{-1} -27 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4259/Conway Polynomial |
| Determinant | 243 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+a^4 z^6-3 a^2 z^6+2 z^6-2 a^2 z^4-z^4 a^{-2} +4 z^4+a^6 z^2-4 a^4 z^2+4 a^2 z^2-z^2 a^{-2} +z^2+a^6-4 a^4+5 a^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 a^3 z^{11}+4 a z^{11}+11 a^4 z^{10}+22 a^2 z^{10}+11 z^{10}+12 a^5 z^9+19 a^3 z^9+18 a z^9+11 z^9 a^{-1} +6 a^6 z^8-11 a^4 z^8-41 a^2 z^8+5 z^8 a^{-2} -19 z^8+a^7 z^7-19 a^5 z^7-58 a^3 z^7-68 a z^7-29 z^7 a^{-1} +z^7 a^{-3} +7 a^2 z^6-12 z^6 a^{-2} -5 z^6+9 a^7 z^5+26 a^5 z^5+45 a^3 z^5+53 a z^5+23 z^5 a^{-1} -2 z^5 a^{-3} +3 a^8 z^4+3 a^6 z^4-a^4 z^4+2 a^2 z^4+9 z^4 a^{-2} +12 z^4-8 a^7 z^3-18 a^5 z^3-19 a^3 z^3-16 a z^3-6 z^3 a^{-1} +z^3 a^{-3} -2 a^8 z^2-a^6 z^2+7 a^4 z^2+7 a^2 z^2-2 z^2 a^{-2} -z^2+2 a^7 z+6 a^5 z+6 a^3 z+3 a z+z a^{-1} -a^6-4 a^4-5 a^2-1 }[/math] |
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