K13n3067
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Polynomial invariants
| Jones polynomial | Data:K13n3067/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+t^2-t+3- t^{-1} + t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3067/Conway Polynomial |
| Determinant | 9 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -a^2 z^4-5 z^4 a^{-2} +z^4 a^{-4} +a^4 z^2-3 a^2 z^2-7 z^2 a^{-2} +3 z^2 a^{-4} +2 a^4-2 a^2-2 a^{-2} +2 a^{-4} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^9+z^9 a^{-3} +a^4 z^8+2 a^2 z^8+z^8 a^{-2} +2 z^8 a^{-4} -6 a^3 z^7+a z^7-5 z^7 a^{-3} +2 z^7 a^{-5} -7 a^4 z^6-13 a^2 z^6-6 z^6 a^{-2} -9 z^6 a^{-4} +z^6 a^{-6} -2 z^6+10 a^3 z^5-9 a z^5-3 z^5 a^{-1} +8 z^5 a^{-3} -8 z^5 a^{-5} +16 a^4 z^4+23 a^2 z^4+11 z^4 a^{-2} +11 z^4 a^{-4} -4 z^4 a^{-6} +3 z^4-5 a^3 z^3+14 a z^3+6 z^3 a^{-1} -7 z^3 a^{-3} +6 z^3 a^{-5} -13 a^4 z^2-13 a^2 z^2-10 z^2 a^{-2} -7 z^2 a^{-4} +3 z^2 a^{-6} +a^3 z-3 a z-3 z a^{-1} +z a^{-3} +2 a^4+2 a^2+2 a^{-2} +2 a^{-4} +1 }[/math] |
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