K13a1802
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Polynomial invariants
| Jones polynomial | Data:K13a1802/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+22 t^2-54 t+73-54 t^{-1} +22 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13a1802/Conway Polynomial |
| Determinant | 233 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+2 z^2 a^6+a^6-z^6 a^4-2 z^4 a^4-3 z^2 a^4-a^4-2 z^6 a^2-4 z^4 a^2-4 z^2 a^2-a^2-z^6+z^4+3 z^2+2+2 z^4 a^{-2} +z^2 a^{-2} -z^2 a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{12}+a^2 z^{12}+3 a^5 z^{11}+7 a^3 z^{11}+4 a z^{11}+4 a^6 z^{10}+8 a^4 z^{10}+12 a^2 z^{10}+8 z^{10}+3 a^7 z^9-3 a^5 z^9-8 a^3 z^9+9 a z^9+11 z^9 a^{-1} +a^8 z^8-14 a^6 z^8-30 a^4 z^8-25 a^2 z^8+11 z^8 a^{-2} +z^8-14 a^7 z^7-16 a^5 z^7-14 a^3 z^7-29 a z^7-9 z^7 a^{-1} +8 z^7 a^{-3} -5 a^8 z^6+13 a^6 z^6+27 a^4 z^6-13 z^6 a^{-2} +4 z^6 a^{-4} -26 z^6+22 a^7 z^5+27 a^5 z^5+13 a^3 z^5+12 a z^5-7 z^5 a^{-1} -10 z^5 a^{-3} +z^5 a^{-5} +8 a^8 z^4-2 a^6 z^4-12 a^4 z^4+15 a^2 z^4+5 z^4 a^{-2} -5 z^4 a^{-4} +27 z^4-13 a^7 z^3-13 a^5 z^3+5 a z^3+11 z^3 a^{-1} +5 z^3 a^{-3} -z^3 a^{-5} -4 a^8 z^2+a^6 z^2+6 a^4 z^2-8 a^2 z^2+2 z^2 a^{-4} -11 z^2+2 a^7 z+2 a^5 z-a^3 z-3 a z-3 z a^{-1} -z a^{-3} -a^6-a^4+a^2+2 }[/math] |
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