K13n4267
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Polynomial invariants
| Jones polynomial | Data:K13n4267/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+11 t^2-31 t+45-31 t^{-1} +11 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4267/Conway Polynomial |
| Determinant | 133 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6+2 z^4 a^4+3 z^2 a^4+2 a^4-z^6 a^2-2 z^4 a^2-4 z^2 a^2-2 a^2-z^6-2 z^4-3 z^2+z^4 a^{-2} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+6 a^2 z^{10}+2 z^{10}+6 a^5 z^9+9 a^3 z^9+5 a z^9+2 z^9 a^{-1} +4 a^6 z^8-6 a^4 z^8-9 a^2 z^8+2 z^8 a^{-2} +3 z^8+a^7 z^7-22 a^5 z^7-40 a^3 z^7-12 a z^7+6 z^7 a^{-1} +z^7 a^{-3} -15 a^6 z^6-18 a^4 z^6-11 a^2 z^6+3 z^6 a^{-2} -5 z^6-3 a^7 z^5+22 a^5 z^5+50 a^3 z^5+9 a z^5-13 z^5 a^{-1} +3 z^5 a^{-3} +14 a^6 z^4+36 a^4 z^4+27 a^2 z^4-4 z^4 a^{-2} +3 z^4 a^{-4} -2 z^4+a^7 z^3-7 a^5 z^3-26 a^3 z^3-6 a z^3+9 z^3 a^{-1} -3 z^3 a^{-3} -3 a^6 z^2-18 a^4 z^2-17 a^2 z^2+z^2 a^{-2} -4 z^2 a^{-4} +3 z^2+a^5 z+5 a^3 z+2 a z-2 z a^{-1} +2 a^4+2 a^2+ a^{-4} }[/math] |
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