K13n4136
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Polynomial invariants
| Jones polynomial | Data:K13n4136/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-14 t^2+26 t-31+26 t^{-1} -14 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4136/Conway Polynomial |
| Determinant | 123 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+a^4 z^6-5 a^2 z^6+z^6+3 a^4 z^4-9 a^2 z^4+2 z^4+3 a^4 z^2-5 a^2 z^2+z^2 a^{-2} +a^2+ a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+7 a^3 z^9+8 a z^9+z^9 a^{-1} +14 a^4 z^8+20 a^2 z^8+6 z^8+14 a^5 z^7+3 a^3 z^7-8 a z^7+3 z^7 a^{-1} +9 a^6 z^6-23 a^4 z^6-55 a^2 z^6+3 z^6 a^{-2} -20 z^6+4 a^7 z^5-20 a^5 z^5-33 a^3 z^5-23 a z^5-14 z^5 a^{-1} +a^8 z^4-7 a^6 z^4+12 a^4 z^4+39 a^2 z^4-7 z^4 a^{-2} +12 z^4-a^7 z^3+11 a^5 z^3+27 a^3 z^3+28 a z^3+13 z^3 a^{-1} +2 a^6 z^2-3 a^4 z^2-8 a^2 z^2+4 z^2 a^{-2} +z^2-2 a^5 z-6 a^3 z-7 a z-3 z a^{-1} -a^2- a^{-2} -1 }[/math] |
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