K13n4171
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Polynomial invariants
| Jones polynomial | Data:K13n4171/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-15 t^2+29 t-35+29 t^{-1} -15 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4171/Conway Polynomial |
| Determinant | 135 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-5 a^4 z^6+a^2 z^6+3 a^6 z^4-10 a^4 z^4+2 a^2 z^4+4 a^6 z^2-9 a^4 z^2+2 a^2 z^2+z^2+2 a^6-4 a^4+2 a^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+5 a^6 z^{10}+6 a^4 z^{10}+a^2 z^{10}+9 a^7 z^9+9 a^5 z^9+8 a^8 z^8-5 a^6 z^8-16 a^4 z^8-3 a^2 z^8+4 a^9 z^7-21 a^7 z^7-27 a^5 z^7-a^3 z^7+a z^7+a^{10} z^6-18 a^8 z^6-4 a^6 z^6+28 a^4 z^6+13 a^2 z^6-8 a^9 z^5+16 a^7 z^5+31 a^5 z^5+11 a^3 z^5+4 a z^5-2 a^{10} z^4+10 a^8 z^4-25 a^4 z^4-11 a^2 z^4+2 z^4+3 a^9 z^3-12 a^7 z^3-18 a^5 z^3-8 a^3 z^3-5 a z^3+a^{10} z^2-4 a^8 z^2+3 a^6 z^2+15 a^4 z^2+4 a^2 z^2-3 z^2+4 a^7 z+6 a^5 z+2 a^3 z-2 a^6-4 a^4-2 a^2+1 }[/math] |
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