K13n2247
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Polynomial invariants
| Jones polynomial | Data:K13n2247/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+9 t^2-23 t+31-23 t^{-1} +9 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2247/Conway Polynomial |
| Determinant | 97 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+3 z^2 a^4+a^4-z^6 a^2-2 z^4 a^2-2 z^2 a^2-a^2+3 z^4+6 z^2+4-2 z^2 a^{-2} -2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+5 a^2 z^{10}+2 z^{10}+4 a^5 z^9+4 a^3 z^9+a z^9+z^9 a^{-1} +3 a^6 z^8-5 a^4 z^8-14 a^2 z^8-6 z^8+a^7 z^7-12 a^5 z^7-22 a^3 z^7-11 a z^7-2 z^7 a^{-1} -11 a^6 z^6-9 a^4 z^6+6 a^2 z^6+z^6 a^{-2} +5 z^6-4 a^7 z^5+6 a^5 z^5+24 a^3 z^5+16 a z^5+2 z^5 a^{-1} +11 a^6 z^4+13 a^4 z^4+10 a^2 z^4+2 z^4 a^{-2} +10 z^4+5 a^7 z^3-13 a^3 z^3-3 a z^3+7 z^3 a^{-1} +2 z^3 a^{-3} -4 a^6 z^2-7 a^4 z^2-9 a^2 z^2-4 z^2 a^{-2} -10 z^2-2 a^7 z+3 a^3 z-a z-5 z a^{-1} -3 z a^{-3} +a^6+a^4+a^2+2 a^{-2} +4 }[/math] |
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