K13n3155
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Polynomial invariants
| Jones polynomial | Data:K13n3155/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+7 t^2-22 t+33-22 t^{-1} +7 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3155/Conway Polynomial |
| Determinant | 93 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6+2 z^4 a^4+3 z^2 a^4+2 a^4-z^6 a^2-3 z^4 a^2-6 z^2 a^2-3 a^2+2 z^4+2 z^2+1-z^2 a^{-2} + a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+5 a^2 z^{10}+z^{10}+6 a^5 z^9+6 a^3 z^9+4 a^6 z^8-9 a^4 z^8-14 a^2 z^8-z^8+a^7 z^7-23 a^5 z^7-36 a^3 z^7-10 a z^7+2 z^7 a^{-1} -15 a^6 z^6-12 a^4 z^6-a^2 z^6-4 z^6-3 a^7 z^5+22 a^5 z^5+49 a^3 z^5+24 a z^5+13 a^6 z^4+30 a^4 z^4+29 a^2 z^4+4 z^4 a^{-2} +16 z^4+a^7 z^3-7 a^5 z^3-27 a^3 z^3-22 a z^3-2 z^3 a^{-1} +z^3 a^{-3} -3 a^6 z^2-16 a^4 z^2-23 a^2 z^2-2 z^2 a^{-2} -12 z^2+a^5 z+7 a^3 z+8 a z+2 z a^{-1} +2 a^4+3 a^2- a^{-2} +1 }[/math] |
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