K13n2984
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Polynomial invariants
| Jones polynomial | Data:K13n2984/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^3+6 t^2-11 t+15-11 t^{-1} +6 t^{-2} -3 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2984/Conway Polynomial |
| Determinant | 57 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+6 a^2 z^6-4 a^4 z^4+12 a^2 z^4-z^4 a^{-2} +z^4-5 a^4 z^2+8 a^2 z^2-3 z^2 a^{-2} +2 z^2-a^4+a^2- a^{-2} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+4 a^2 z^{10}+z^{10}+4 a^5 z^9-4 a z^9+3 a^6 z^8-10 a^4 z^8-20 a^2 z^8+z^8 a^{-2} -6 z^8+a^7 z^7-15 a^5 z^7-13 a^3 z^7+a z^7-z^7 a^{-1} +z^7 a^{-3} -12 a^6 z^6+5 a^4 z^6+32 a^2 z^6-8 z^6 a^{-2} +7 z^6-4 a^7 z^5+12 a^5 z^5+18 a^3 z^5+7 a z^5-z^5 a^{-1} -6 z^5 a^{-3} +12 a^6 z^4-2 a^4 z^4-23 a^2 z^4+15 z^4 a^{-2} +6 z^4+4 a^7 z^3-3 a^5 z^3-9 a^3 z^3-3 a z^3+7 z^3 a^{-1} +8 z^3 a^{-3} -4 a^6 z^2+3 a^4 z^2+8 a^2 z^2-9 z^2 a^{-2} -8 z^2-a^7 z+2 a^3 z-3 z a^{-1} -2 z a^{-3} -a^4-a^2+ a^{-2} +2 }[/math] |
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