K13n4277
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Polynomial invariants
| Jones polynomial | Data:K13n4277/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+22 t^2-37 t+43-37 t^{-1} +22 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4277/Conway Polynomial |
| Determinant | 177 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+2 z^2 a^{10}-2 z^6 a^8-6 z^4 a^8-5 z^2 a^8-a^8+z^8 a^6+4 z^6 a^6+6 z^4 a^6+4 z^2 a^6-z^6 a^4-z^4 a^4+3 z^2 a^4+2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{14}-2 z^4 a^{14}+z^2 a^{14}+4 z^7 a^{13}-9 z^5 a^{13}+6 z^3 a^{13}-z a^{13}+7 z^8 a^{12}-13 z^6 a^{12}+5 z^4 a^{12}+8 z^9 a^{11}-11 z^7 a^{11}-3 z^5 a^{11}+8 z^3 a^{11}-4 z a^{11}+6 z^{10} a^{10}-4 z^8 a^{10}-6 z^6 a^{10}+3 z^4 a^{10}-z^2 a^{10}+2 z^{11} a^9+9 z^9 a^9-21 z^7 a^9+11 z^5 a^9+2 z^3 a^9-2 z a^9+10 z^{10} a^8-19 z^8 a^8+22 z^6 a^8-18 z^4 a^8+8 z^2 a^8-a^8+2 z^{11} a^7+3 z^9 a^7-4 z^7 a^7+z^5 a^7+z^3 a^7+4 z^{10} a^6-8 z^8 a^6+20 z^6 a^6-21 z^4 a^6+6 z^2 a^6+2 z^9 a^5+2 z^7 a^5-3 z^5 a^5-z a^5+6 z^6 a^4-7 z^4 a^4-2 z^2 a^4+2 a^4+z^5 a^3-z^3 a^3 }[/math] |
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