K13n1151
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Polynomial invariants
| Jones polynomial | Data:K13n1151/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+13 t^2-32 t+43-32 t^{-1} +13 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1151/Conway Polynomial |
| Determinant | 137 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+3 a^2 z^4-2 z^4 a^{-2} +z^4 a^{-4} -z^4-2 a^4 z^2+6 a^2 z^2-2 z^2 a^{-2} +z^2 a^{-4} -z^2-2 a^4+4 a^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+4 z^{10} a^{-2} +7 z^{10}+3 a^3 z^9+6 a z^9+10 z^9 a^{-1} +7 z^9 a^{-3} +a^4 z^8-8 a^2 z^8-2 z^8 a^{-2} +7 z^8 a^{-4} -18 z^8-9 a^3 z^7-28 a z^7-40 z^7 a^{-1} -17 z^7 a^{-3} +4 z^7 a^{-5} +2 a^4 z^6+16 a^2 z^6-17 z^6 a^{-2} -19 z^6 a^{-4} +z^6 a^{-6} +17 z^6+3 a^5 z^5+19 a^3 z^5+52 a z^5+57 z^5 a^{-1} +11 z^5 a^{-3} -10 z^5 a^{-5} -10 a^4 z^4-18 a^2 z^4+25 z^4 a^{-2} +13 z^4 a^{-4} -2 z^4 a^{-6} +2 z^4-8 a^5 z^3-24 a^3 z^3-37 a z^3-29 z^3 a^{-1} -4 z^3 a^{-3} +4 z^3 a^{-5} +7 a^4 z^2+11 a^2 z^2-9 z^2 a^{-2} -4 z^2 a^{-4} -z^2+4 a^5 z+9 a^3 z+9 a z+5 z a^{-1} +z a^{-3} -2 a^4-4 a^2-1 }[/math] |
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