K13n1123
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Polynomial invariants
| Jones polynomial | Data:K13n1123/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^2+10 t-15+10 t^{-1} -2 t^{-2} }[/math] |
| Conway polynomial | Data:K13n1123/Conway Polynomial |
| Determinant | 39 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+3 z^2 a^8+3 a^8-3 z^4 a^6-7 z^2 a^6-5 a^6+z^6 a^4+5 z^4 a^4+10 z^2 a^4+5 a^4-z^6 a^2-5 z^4 a^2-6 z^2 a^2-2 a^2+z^4+2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+5 z^3 a^{11}-2 z a^{11}+3 z^8 a^{10}-12 z^6 a^{10}+14 z^4 a^{10}-6 z^2 a^{10}+a^{10}+3 z^9 a^9-8 z^7 a^9-2 z^5 a^9+8 z^3 a^9-2 z a^9+z^{10} a^8+4 z^8 a^8-27 z^6 a^8+29 z^4 a^8-14 z^2 a^8+3 a^8+5 z^9 a^7-18 z^7 a^7+13 z^5 a^7-7 z^3 a^7+2 z a^7+2 z^{10} a^6-8 z^8 a^6+z^6 a^6+15 z^4 a^6-18 z^2 a^6+5 a^6+z^{11} a^5-3 z^9 a^5-14 z^7 a^5+42 z^5 a^5-30 z^3 a^5+6 z a^5+4 z^{10} a^4-27 z^8 a^4+39 z^6 a^4+z^4 a^4-17 z^2 a^4+5 a^4+z^{11} a^3-2 z^9 a^3-22 z^7 a^3+55 z^5 a^3-32 z^3 a^3+6 z a^3+3 z^{10} a^2-17 z^8 a^2+18 z^6 a^2+7 z^4 a^2-11 z^2 a^2+2 a^2+3 z^9 a-17 z^7 a+24 z^5 a-12 z^3 a+2 z a+z^8-5 z^6+6 z^4-4 z^2+1 }[/math] |
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