K13n269
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Polynomial invariants
| Jones polynomial | Data:K13n269/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^3+4 t^2-2 t+1-2 t^{-1} +4 t^{-2} -3 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n269/Conway Polynomial |
| Determinant | 21 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +7 z^6 a^{-2} -z^6 a^{-4} -z^6+17 z^4 a^{-2} -6 z^4 a^{-4} -5 z^4+19 z^2 a^{-2} -10 z^2 a^{-4} +z^2 a^{-6} -7 z^2+9 a^{-2} -6 a^{-4} + a^{-6} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +4 z^{10} a^{-2} +2 z^{10} a^{-4} +2 z^{10}+a z^9-4 z^9 a^{-1} -4 z^9 a^{-3} +z^9 a^{-5} -28 z^8 a^{-2} -14 z^8 a^{-4} -14 z^8-7 a z^7-5 z^7 a^{-1} -5 z^7 a^{-3} -7 z^7 a^{-5} +64 z^6 a^{-2} +32 z^6 a^{-4} +32 z^6+16 a z^5+32 z^5 a^{-1} +31 z^5 a^{-3} +15 z^5 a^{-5} -63 z^4 a^{-2} -35 z^4 a^{-4} -2 z^4 a^{-6} -30 z^4-14 a z^3-34 z^3 a^{-1} -36 z^3 a^{-3} -17 z^3 a^{-5} -z^3 a^{-7} +32 z^2 a^{-2} +20 z^2 a^{-4} +2 z^2 a^{-6} +14 z^2+4 a z+11 z a^{-1} +14 z a^{-3} +8 z a^{-5} +z a^{-7} -9 a^{-2} -6 a^{-4} - a^{-6} -3 }[/math] |
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