K13n3995
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Polynomial invariants
| Jones polynomial | Data:K13n3995/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+10 t^2-11 t+11-11 t^{-1} +10 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3995/Conway Polynomial |
| Determinant | 65 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-2 a^4 z^6+6 a^2 z^6-z^6+a^6 z^4-10 a^4 z^4+13 a^2 z^4-4 z^4+4 a^6 z^2-14 a^4 z^2+14 a^2 z^2-4 z^2+2 a^6-6 a^4+6 a^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+5 a^4 z^{10}+8 a^2 z^{10}+3 z^{10}+5 a^5 z^9-4 a^3 z^9-8 a z^9+z^9 a^{-1} +2 a^6 z^8-26 a^4 z^8-47 a^2 z^8-19 z^8-25 a^5 z^7-20 a^3 z^7-a z^7-6 z^7 a^{-1} -4 a^6 z^6+45 a^4 z^6+89 a^2 z^6+40 z^6+6 a^7 z^5+43 a^5 z^5+54 a^3 z^5+29 a z^5+12 z^5 a^{-1} +3 a^8 z^4-4 a^6 z^4-44 a^4 z^4-70 a^2 z^4-33 z^4+2 a^9 z^3-14 a^7 z^3-40 a^5 z^3-42 a^3 z^3-27 a z^3-9 z^3 a^{-1} +a^{10} z^2-2 a^8 z^2+4 a^6 z^2+26 a^4 z^2+29 a^2 z^2+10 z^2+5 a^7 z+13 a^5 z+13 a^3 z+7 a z+2 z a^{-1} -2 a^6-6 a^4-6 a^2-1 }[/math] |
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