K13n2341
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Polynomial invariants
| Jones polynomial | Data:K13n2341/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-10 t^2+33 t-47+33 t^{-1} -10 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n2341/Conway Polynomial |
| Determinant | 135 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+3 z^2 a^8+2 a^8-3 z^4 a^6-3 z^2 a^6-a^6+z^6 a^4+z^4 a^4+z^2 a^4-a^4-2 z^4 a^2+2 a^2+z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+4 z^3 a^{11}-z a^{11}+3 z^8 a^{10}-11 z^6 a^{10}+11 z^4 a^{10}-5 z^2 a^{10}+a^{10}+5 z^9 a^9-17 z^7 a^9+16 z^5 a^9-8 z^3 a^9+2 z a^9+5 z^{10} a^8-14 z^8 a^8+6 z^6 a^8+6 z^4 a^8-9 z^2 a^8+2 a^8+2 z^{11} a^7+4 z^9 a^7-33 z^7 a^7+48 z^5 a^7-30 z^3 a^7+6 z a^7+10 z^{10} a^6-33 z^8 a^6+36 z^6 a^6-12 z^4 a^6-3 z^2 a^6+a^6+2 z^{11} a^5+3 z^9 a^5-24 z^7 a^5+38 z^5 a^5-20 z^3 a^5+4 z a^5+5 z^{10} a^4-15 z^8 a^4+23 z^6 a^4-13 z^4 a^4+5 z^2 a^4-a^4+4 z^9 a^3-9 z^7 a^3+14 z^5 a^3-6 z^3 a^3+z a^3+z^8 a^2+4 z^6 a^2-5 z^4 a^2+3 z^2 a^2-2 a^2+4 z^5 a-4 z^3 a+z^4-z^2 }[/math] |
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