K13n2178
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Polynomial invariants
| Jones polynomial | Data:K13n2178/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+18 t^2-35 t+43-35 t^{-1} +18 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2178/Conway Polynomial |
| Determinant | 157 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{10}-a^{10}+3 z^4 a^8+6 z^2 a^8+2 a^8-2 z^6 a^6-5 z^4 a^6-3 z^2 a^6-2 z^6 a^4-6 z^4 a^4-6 z^2 a^4-3 a^4+2 z^4 a^2+5 z^2 a^2+3 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{13}-z^3 a^{13}+4 z^6 a^{12}-5 z^4 a^{12}+z^2 a^{12}+8 z^7 a^{11}-12 z^5 a^{11}+6 z^3 a^{11}-2 z a^{11}+10 z^8 a^{10}-15 z^6 a^{10}+9 z^4 a^{10}-4 z^2 a^{10}+a^{10}+8 z^9 a^9-5 z^7 a^9-11 z^5 a^9+14 z^3 a^9-3 z a^9+4 z^{10} a^8+8 z^8 a^8-33 z^6 a^8+36 z^4 a^8-14 z^2 a^8+2 a^8+z^{11} a^7+11 z^9 a^7-24 z^7 a^7+13 z^5 a^7+z^3 a^7-z a^7+6 z^{10} a^6-5 z^8 a^6-11 z^6 a^6+14 z^4 a^6-5 z^2 a^6+z^{11} a^5+4 z^9 a^5-10 z^7 a^5+4 z^5 a^5-2 z^3 a^5+2 z^{10} a^4-3 z^8 a^4+6 z^6 a^4-18 z^4 a^4+14 z^2 a^4-3 a^4+z^9 a^3+z^7 a^3-7 z^5 a^3+4 z^3 a^3+3 z^6 a^2-10 z^4 a^2+10 z^2 a^2-3 a^2 }[/math] |
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