K13n3984
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Polynomial invariants
| Jones polynomial | Data:K13n3984/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-17 t^2+30 t-35+30 t^{-1} -17 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3984/Conway Polynomial |
| Determinant | 143 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-5 a^4 z^6+2 a^2 z^6+3 a^6 z^4-10 a^4 z^4+7 a^2 z^4-z^4+3 a^6 z^2-9 a^4 z^2+8 a^2 z^2-2 z^2+a^6-3 a^4+3 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+6 a^6 z^{10}+9 a^4 z^{10}+3 a^2 z^{10}+9 a^7 z^9+4 a^5 z^9-4 a^3 z^9+a z^9+8 a^8 z^8-12 a^6 z^8-32 a^4 z^8-12 a^2 z^8+4 a^9 z^7-24 a^7 z^7-22 a^5 z^7+7 a^3 z^7+a z^7+a^{10} z^6-21 a^8 z^6+7 a^6 z^6+58 a^4 z^6+33 a^2 z^6+4 z^6-9 a^9 z^5+21 a^7 z^5+35 a^5 z^5+2 a^3 z^5-2 a z^5+z^5 a^{-1} -2 a^{10} z^4+14 a^8 z^4-2 a^6 z^4-46 a^4 z^4-37 a^2 z^4-9 z^4+3 a^9 z^3-10 a^7 z^3-21 a^5 z^3-6 a^3 z^3-2 z^3 a^{-1} -3 a^8 z^2+2 a^6 z^2+17 a^4 z^2+17 a^2 z^2+5 z^2+2 a^7 z+4 a^5 z+2 a^3 z-a^6-3 a^4-3 a^2 }[/math] |
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