K13n1340
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Polynomial invariants
| Jones polynomial | Data:K13n1340/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+4 t^2-4 t+3-4 t^{-1} +4 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n1340/Conway Polynomial |
| Determinant | 21 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+2 z^2 a^8+2 a^8-z^4 a^6-3 z^2 a^6-3 a^6+2 z^4 a^4+7 z^2 a^4+4 a^4-z^6 a^2-4 z^4 a^2-5 z^2 a^2-2 a^2+z^4+2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-5 z^5 a^{11}+7 z^3 a^{11}-3 z a^{11}+2 z^8 a^{10}-10 z^6 a^{10}+13 z^4 a^{10}-6 z^2 a^{10}+a^{10}+z^9 a^9-3 z^7 a^9-5 z^5 a^9+10 z^3 a^9-3 z a^9+2 z^8 a^8-13 z^6 a^8+16 z^4 a^8-8 z^2 a^8+2 a^8+z^9 a^7-8 z^7 a^7+9 z^5 a^7-4 z^3 a^7+z a^7+2 z^{10} a^6-13 z^8 a^6+17 z^6 a^6-3 z^4 a^6-7 z^2 a^6+3 a^6+z^{11} a^5-2 z^9 a^5-17 z^7 a^5+39 z^5 a^5-24 z^3 a^5+4 z a^5+5 z^{10} a^4-28 z^8 a^4+37 z^6 a^4-7 z^4 a^4-10 z^2 a^4+4 a^4+z^{11} a^3+z^9 a^3-29 z^7 a^3+54 z^5 a^3-30 z^3 a^3+5 z a^3+3 z^{10} a^2-14 z^8 a^2+12 z^6 a^2+6 z^4 a^2-9 z^2 a^2+2 a^2+3 z^9 a-16 z^7 a+24 z^5 a-13 z^3 a+2 z a+z^8-5 z^6+7 z^4-4 z^2+1 }[/math] |
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