K13n4118
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Polynomial invariants
| Jones polynomial | Data:K13n4118/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+10 t^3-27 t^2+50 t-61+50 t^{-1} -27 t^{-2} +10 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n4118/Conway Polynomial |
| Determinant | 239 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-2 z^2 a^8-2 a^8+3 z^6 a^6+11 z^4 a^6+15 z^2 a^6+7 a^6-2 z^8 a^4-11 z^6 a^4-24 z^4 a^4-23 z^2 a^4-9 a^4+2 z^6 a^2+7 z^4 a^2+10 z^2 a^2+5 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-2 z^5 a^{11}+z^3 a^{11}+5 z^8 a^{10}-12 z^6 a^{10}+9 z^4 a^{10}-2 z^2 a^{10}+11 z^9 a^9-29 z^7 a^9+23 z^5 a^9-7 z^3 a^9+3 z a^9+11 z^{10} a^8-19 z^8 a^8-6 z^6 a^8+13 z^4 a^8+z^2 a^8-2 a^8+4 z^{11} a^7+18 z^9 a^7-72 z^7 a^7+68 z^5 a^7-33 z^3 a^7+8 z a^7+22 z^{10} a^6-46 z^8 a^6+29 z^6 a^6-31 z^4 a^6+25 z^2 a^6-7 a^6+4 z^{11} a^5+17 z^9 a^5-54 z^7 a^5+50 z^5 a^5-31 z^3 a^5+8 z a^5+11 z^{10} a^4-18 z^8 a^4+32 z^6 a^4-52 z^4 a^4+38 z^2 a^4-9 a^4+10 z^9 a^3-11 z^7 a^3+14 z^5 a^3-10 z^3 a^3+4 z a^3+4 z^8 a^2+9 z^6 a^2-14 z^4 a^2+14 z^2 a^2-5 a^2+z^7 a+7 z^5 a-4 z^3 a+z a+3 z^4-2 z^2 }[/math] |
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