K13n4233
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Polynomial invariants
| Jones polynomial | Data:K13n4233/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-12 t^2+22 t-27+22 t^{-1} -12 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4233/Conway Polynomial |
| Determinant | 107 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-3 z^2 a^8-3 a^8+2 z^6 a^6+9 z^4 a^6+14 z^2 a^6+7 a^6-z^8 a^4-6 z^6 a^4-14 z^4 a^4-14 z^2 a^4-6 a^4+z^6 a^2+4 z^4 a^2+6 z^2 a^2+3 a^2 }[/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}-11 z^6 a^{10}+10 z^4 a^{10}-2 z^2 a^{10}+4 z^9 a^9-12 z^7 a^9+5 z^5 a^9+z^3 a^9+z a^9+4 z^{10} a^8-13 z^8 a^8+14 z^6 a^8-18 z^4 a^8+13 z^2 a^8-3 a^8+2 z^{11} a^7-2 z^9 a^7-12 z^7 a^7+24 z^5 a^7-23 z^3 a^7+7 z a^7+9 z^{10} a^6-42 z^8 a^6+78 z^6 a^6-73 z^4 a^6+34 z^2 a^6-7 a^6+2 z^{11} a^5-2 z^9 a^5-17 z^7 a^5+47 z^5 a^5-36 z^3 a^5+8 z a^5+5 z^{10} a^4-25 z^8 a^4+53 z^6 a^4-49 z^4 a^4+27 z^2 a^4-6 a^4+4 z^9 a^3-18 z^7 a^3+35 z^5 a^3-23 z^3 a^3+6 z a^3+z^8 a^2-3 z^4 a^2+6 z^2 a^2-3 a^2+3 z^5 a-6 z^3 a+2 z a+z^4-2 z^2 }[/math] |
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