K13n4215
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Polynomial invariants
| Jones polynomial | Data:K13n4215/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+22 t^2-40 t+49-40 t^{-1} +22 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4215/Conway Polynomial |
| Determinant | 189 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+4 a^2 z^6-2 z^6-2 a^4 z^4+6 a^2 z^4+z^4 a^{-2} -5 z^4-a^4 z^2+4 a^2 z^2+z^2 a^{-2} -3 z^2-a^4+2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^3 z^{11}+3 a z^{11}+9 a^4 z^{10}+15 a^2 z^{10}+6 z^{10}+10 a^5 z^9+11 a^3 z^9+5 a z^9+4 z^9 a^{-1} +5 a^6 z^8-19 a^4 z^8-35 a^2 z^8+z^8 a^{-2} -10 z^8+a^7 z^7-29 a^5 z^7-48 a^3 z^7-18 a z^7-13 a^6 z^6+22 a^2 z^6+8 z^6 a^{-2} +17 z^6-2 a^7 z^5+21 a^5 z^5+37 a^3 z^5+11 a z^5+2 z^5 a^{-1} +5 z^5 a^{-3} +8 a^6 z^4+8 a^4 z^4-9 a^2 z^4-6 z^4 a^{-2} +z^4 a^{-4} -16 z^4+a^7 z^3-3 a^5 z^3-7 a^3 z^3-3 a z^3-2 z^3 a^{-1} -2 z^3 a^{-3} -a^6 z^2+4 a^2 z^2+2 z^2 a^{-2} +5 z^2+a^5 z+a^3 z-a^4-2 a^2 }[/math] |
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