K13n2008
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Polynomial invariants
| Jones polynomial | Data:K13n2008/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -8 t^2+34 t-51+34 t^{-1} -8 t^{-2} }[/math] |
| Conway polynomial | Data:K13n2008/Conway Polynomial |
| Determinant | 135 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}-a^{10}-z^4 a^8+3 z^2 a^8+2 a^8-4 z^4 a^6-4 z^2 a^6-a^6-3 z^4 a^4-2 z^2 a^4-a^4+4 z^2 a^2+2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{12}-4 z^6 a^{12}+5 z^4 a^{12}-2 z^2 a^{12}+4 z^9 a^{11}-18 z^7 a^{11}+26 z^5 a^{11}-13 z^3 a^{11}+z a^{11}+5 z^{10} a^{10}-18 z^8 a^{10}+14 z^6 a^{10}+3 z^4 a^{10}-3 z^2 a^{10}+a^{10}+2 z^{11} a^9+6 z^9 a^9-51 z^7 a^9+76 z^5 a^9-40 z^3 a^9+8 z a^9+12 z^{10} a^8-41 z^8 a^8+32 z^6 a^8-3 z^4 a^8-3 z^2 a^8+2 a^8+2 z^{11} a^7+11 z^9 a^7-65 z^7 a^7+92 z^5 a^7-58 z^3 a^7+12 z a^7+7 z^{10} a^6-18 z^8 a^6+8 z^6 a^6+2 z^4 a^6-4 z^2 a^6+a^6+9 z^9 a^5-32 z^7 a^5+48 z^5 a^5-34 z^3 a^5+6 z a^5+4 z^8 a^4-6 z^6 a^4+3 z^4 a^4+4 z^2 a^4-a^4+6 z^5 a^3-3 z^3 a^3+z a^3+6 z^2 a^2-2 a^2 }[/math] |
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