K13n236
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Polynomial invariants
| Jones polynomial | Data:K13n236/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-18 t^2+35 t-43+35 t^{-1} -18 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n236/Conway Polynomial |
| Determinant | 163 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+a^4 z^6-5 a^2 z^6+2 z^6+3 a^4 z^4-11 a^2 z^4-z^4 a^{-2} +7 z^4+5 a^4 z^2-11 a^2 z^2-2 z^2 a^{-2} +9 z^2-a^6+3 a^4-4 a^2- a^{-2} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+8 a^2 z^{10}+4 z^{10}+5 a^5 z^9+14 a^3 z^9+15 a z^9+6 z^9 a^{-1} +2 a^6 z^8-3 a^2 z^8+4 z^8 a^{-2} +3 z^8-10 a^5 z^7-41 a^3 z^7-47 a z^7-15 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6-13 a^4 z^6-40 a^2 z^6-13 z^6 a^{-2} -39 z^6+5 a^7 z^5+20 a^5 z^5+41 a^3 z^5+35 a z^5+6 z^5 a^{-1} -3 z^5 a^{-3} +a^8 z^4+4 a^6 z^4+24 a^4 z^4+54 a^2 z^4+14 z^4 a^{-2} +47 z^4-4 a^7 z^3-12 a^5 z^3-18 a^3 z^3-9 a z^3+4 z^3 a^{-1} +3 z^3 a^{-3} -a^8 z^2-4 a^6 z^2-14 a^4 z^2-27 a^2 z^2-6 z^2 a^{-2} -22 z^2+2 a^5 z+3 a^3 z-2 z a^{-1} -z a^{-3} +a^6+3 a^4+4 a^2+ a^{-2} +4 }[/math] |
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