K13n1237
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Polynomial invariants
| Jones polynomial | Data:K13n1237/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+2 t^3-2 t^2+3 t-3+3 t^{-1} -2 t^{-2} +2 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1237/Conway Polynomial |
| Determinant | 19 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -8 z^6 a^{-4} +z^6 a^{-6} +6 z^4 a^{-2} -22 z^4 a^{-4} +6 z^4 a^{-6} +11 z^2 a^{-2} -24 z^2 a^{-4} +10 z^2 a^{-6} +6 a^{-2} -9 a^{-4} +4 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +3 z^{10} a^{-4} +2 z^{10} a^{-6} -8 z^9 a^{-3} -6 z^9 a^{-5} +2 z^9 a^{-7} -9 z^8 a^{-2} -25 z^8 a^{-4} -14 z^8 a^{-6} +2 z^8 a^{-8} +21 z^7 a^{-3} +7 z^7 a^{-5} -12 z^7 a^{-7} +2 z^7 a^{-9} +29 z^6 a^{-2} +73 z^6 a^{-4} +32 z^6 a^{-6} -11 z^6 a^{-8} +z^6 a^{-10} -19 z^5 a^{-3} +12 z^5 a^{-5} +20 z^5 a^{-7} -11 z^5 a^{-9} -41 z^4 a^{-2} -91 z^4 a^{-4} -31 z^4 a^{-6} +14 z^4 a^{-8} -5 z^4 a^{-10} +z^3 a^{-3} -24 z^3 a^{-5} -11 z^3 a^{-7} +14 z^3 a^{-9} +26 z^2 a^{-2} +48 z^2 a^{-4} +15 z^2 a^{-6} -3 z^2 a^{-8} +4 z^2 a^{-10} +4 z a^{-3} +9 z a^{-5} +2 z a^{-7} -4 z a^{-9} -z a^{-11} -6 a^{-2} -9 a^{-4} -4 a^{-6} }[/math] |
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