K13n3806
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Polynomial invariants
| Jones polynomial | Data:K13n3806/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-14 t^2+24 t-29+24 t^{-1} -14 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3806/Conway Polynomial |
| Determinant | 119 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-4 z^2 a^8-4 a^8+2 z^6 a^6+9 z^4 a^6+14 z^2 a^6+7 a^6-z^8 a^4-5 z^6 a^4-9 z^4 a^4-7 z^2 a^4-3 a^4+z^6 a^2+3 z^4 a^2+3 z^2 a^2+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-5 z^5 a^{11}+8 z^3 a^{11}-4 z a^{11}+2 z^8 a^{10}-7 z^6 a^{10}+6 z^4 a^{10}+3 z^9 a^9-9 z^7 a^9+7 z^5 a^9-2 z^3 a^9+z a^9+3 z^{10} a^8-9 z^8 a^8+16 z^6 a^8-28 z^4 a^8+20 z^2 a^8-4 a^8+z^{11} a^7+4 z^9 a^7-19 z^7 a^7+29 z^5 a^7-30 z^3 a^7+10 z a^7+6 z^{10} a^6-19 z^8 a^6+37 z^6 a^6-50 z^4 a^6+29 z^2 a^6-7 a^6+z^{11} a^5+4 z^9 a^5-15 z^7 a^5+27 z^5 a^5-26 z^3 a^5+8 z a^5+3 z^{10} a^4-7 z^8 a^4+17 z^6 a^4-19 z^4 a^4+12 z^2 a^4-3 a^4+3 z^9 a^3-6 z^7 a^3+14 z^5 a^3-10 z^3 a^3+4 z a^3+z^8 a^2+3 z^6 a^2-2 z^4 a^2+2 z^2 a^2-a^2+4 z^5 a-4 z^3 a+z a+z^4-z^2 }[/math] |
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