K13n4071
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Polynomial invariants
| Jones polynomial | Data:K13n4071/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+18 t^2-30 t+35-30 t^{-1} +18 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4071/Conway Polynomial |
| Determinant | 145 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^8+z^2 a^8-a^8-2 z^6 a^6-6 z^4 a^6-4 z^2 a^6+z^8 a^4+5 z^6 a^4+10 z^4 a^4+9 z^2 a^4+2 a^4-z^6 a^2-3 z^4 a^2-2 z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^4 a^{12}+5 z^5 a^{11}-2 z^3 a^{11}-z a^{11}+z^8 a^{10}+6 z^6 a^{10}-4 z^4 a^{10}+z^2 a^{10}+2 z^9 a^9+5 z^7 a^9-5 z^5 a^9+z^3 a^9+z a^9+2 z^{10} a^8+4 z^8 a^8-2 z^6 a^8-9 z^4 a^8+7 z^2 a^8-a^8+z^{11} a^7+5 z^9 a^7-2 z^7 a^7-13 z^5 a^7+5 z^3 a^7+z a^7+6 z^{10} a^6-5 z^8 a^6-9 z^6 a^6+3 z^4 a^6+z^{11} a^5+9 z^9 a^5-27 z^7 a^5+16 z^5 a^5-2 z^3 a^5-z a^5+4 z^{10} a^4-4 z^8 a^4-15 z^6 a^4+21 z^4 a^4-9 z^2 a^4+2 a^4+6 z^9 a^3-19 z^7 a^3+16 z^5 a^3-2 z^3 a^3+4 z^8 a^2-14 z^6 a^2+14 z^4 a^2-3 z^2 a^2+z^7 a-3 z^5 a+2 z^3 a }[/math] |
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