K13n1367
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Polynomial invariants
| Jones polynomial | Data:K13n1367/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+19 t^2-36 t+45-36 t^{-1} +19 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1367/Conway Polynomial |
| Determinant | 169 |
| Signature | 0 |
| 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} -6 z^4-4 a^4 z^2+11 a^2 z^2+z^2 a^{-2} -6 z^2-2 a^4+4 a^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^3 z^{11}+3 a z^{11}+8 a^4 z^{10}+16 a^2 z^{10}+8 z^{10}+8 a^5 z^9+8 a^3 z^9+7 a z^9+7 z^9 a^{-1} +4 a^6 z^8-22 a^4 z^8-54 a^2 z^8+2 z^8 a^{-2} -26 z^8+a^7 z^7-26 a^5 z^7-55 a^3 z^7-51 a z^7-23 z^7 a^{-1} -12 a^6 z^6+15 a^4 z^6+66 a^2 z^6+z^6 a^{-2} +40 z^6-3 a^7 z^5+26 a^5 z^5+77 a^3 z^5+86 a z^5+43 z^5 a^{-1} +5 z^5 a^{-3} +9 a^6 z^4-10 a^4 z^4-42 a^2 z^4+z^4 a^{-4} -24 z^4+2 a^7 z^3-16 a^5 z^3-49 a^3 z^3-54 a z^3-29 z^3 a^{-1} -6 z^3 a^{-3} -2 a^6 z^2+6 a^4 z^2+17 a^2 z^2-z^2 a^{-2} -z^2 a^{-4} +9 z^2+5 a^5 z+12 a^3 z+12 a z+6 z a^{-1} +z a^{-3} -2 a^4-4 a^2-1 }[/math] |
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