K13n1344
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Polynomial invariants
| Jones polynomial | Data:K13n1344/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+t^3+6 t^2-15 t+19-15 t^{-1} +6 t^{-2} + t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1344/Conway Polynomial |
| Determinant | 57 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{10}-a^{10}+2 z^4 a^8+3 z^2 a^8+4 z^4 a^6+10 z^2 a^6+5 a^6-z^8 a^4-8 z^6 a^4-20 z^4 a^4-20 z^2 a^4-7 a^4+z^6 a^2+6 z^4 a^2+10 z^2 a^2+4 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{13}-2 z^3 a^{13}+z a^{13}+3 z^6 a^{12}-6 z^4 a^{12}+3 z^2 a^{12}+4 z^7 a^{11}-6 z^5 a^{11}+z^3 a^{11}+3 z^8 a^{10}-z^6 a^{10}-4 z^4 a^{10}+a^{10}+z^9 a^9+5 z^7 a^9-10 z^5 a^9+5 z^3 a^9-z a^9+4 z^8 a^8-3 z^6 a^8+6 z^7 a^7-9 z^5 a^7+8 z^3 a^7-3 z a^7+z^{10} a^6-10 z^8 a^6+37 z^6 a^6-47 z^4 a^6+25 z^2 a^6-5 a^6+z^{11} a^5-10 z^9 a^5+32 z^7 a^5-40 z^5 a^5+24 z^3 a^5-6 z a^5+2 z^{10} a^4-20 z^8 a^4+64 z^6 a^4-82 z^4 a^4+42 z^2 a^4-7 a^4+z^{11} a^3-9 z^9 a^3+27 z^7 a^3-34 z^5 a^3+18 z^3 a^3-3 z a^3+z^{10} a^2-9 z^8 a^2+28 z^6 a^2-37 z^4 a^2+20 z^2 a^2-4 a^2 }[/math] |
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