K13n3893
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Polynomial invariants
| Jones polynomial | Data:K13n3893/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^3+5 t^2-5 t+5-5 t^{-1} +5 t^{-2} -3 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3893/Conway Polynomial |
| Determinant | 33 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-2 a^4 z^6+7 a^2 z^6+a^6 z^4-10 a^4 z^4+18 a^2 z^4-z^4 a^{-2} -z^4+3 a^6 z^2-16 a^4 z^2+22 a^2 z^2-2 z^2 a^{-2} -3 z^2+2 a^6-9 a^4+11 a^2- a^{-2} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+3 a^6 z^{10}+5 a^4 z^{10}+3 a^2 z^{10}+z^{10}+3 a^7 z^9+2 a^5 z^9+3 a z^9+2 z^9 a^{-1} +a^8 z^8-13 a^6 z^8-26 a^4 z^8-20 a^2 z^8+2 z^8 a^{-2} -6 z^8-16 a^7 z^7-33 a^5 z^7-29 a^3 z^7-24 a z^7-11 z^7 a^{-1} +z^7 a^{-3} -5 a^8 z^6+10 a^6 z^6+35 a^4 z^6+36 a^2 z^6-10 z^6 a^{-2} +6 z^6+26 a^7 z^5+65 a^5 z^5+69 a^3 z^5+48 a z^5+13 z^5 a^{-1} -5 z^5 a^{-3} +7 a^8 z^4+4 a^6 z^4-23 a^4 z^4-34 a^2 z^4+11 z^4 a^{-2} -3 z^4-17 a^7 z^3-51 a^5 z^3-63 a^3 z^3-40 a z^3-5 z^3 a^{-1} +6 z^3 a^{-3} -3 a^8 z^2-2 a^6 z^2+18 a^4 z^2+25 a^2 z^2-4 z^2 a^{-2} +4 z^2+4 a^7 z+17 a^5 z+23 a^3 z+13 a z+z a^{-1} -2 z a^{-3} -2 a^6-9 a^4-11 a^2+ a^{-2} -2 }[/math] |
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