K13n3299
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Polynomial invariants
| Jones polynomial | Data:K13n3299/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-12 t^2+20 t-23+20 t^{-1} -12 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3299/Conway Polynomial |
| Determinant | 99 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-6 a^4 z^6+2 a^2 z^6+4 a^6 z^4-13 a^4 z^4+8 a^2 z^4-z^4+4 a^6 z^2-10 a^4 z^2+9 a^2 z^2-2 z^2-a^4+2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+4 a^6 z^{10}+7 a^4 z^{10}+3 a^2 z^{10}+4 a^7 z^9-6 a^5 z^9-9 a^3 z^9+a z^9+4 a^8 z^8-16 a^6 z^8-36 a^4 z^8-16 a^2 z^8+3 a^9 z^7-11 a^7 z^7+6 a^5 z^7+20 a^3 z^7+a^{10} z^6-12 a^8 z^6+27 a^6 z^6+78 a^4 z^6+42 a^2 z^6+4 z^6-10 a^9 z^5+5 a^7 z^5+4 a^5 z^5-15 a^3 z^5-3 a z^5+z^5 a^{-1} -3 a^{10} z^4+7 a^8 z^4-19 a^6 z^4-66 a^4 z^4-47 a^2 z^4-10 z^4+7 a^9 z^3+5 a^7 z^3-a^5 z^3+4 a^3 z^3+a z^3-2 z^3 a^{-1} +a^{10} z^2+5 a^6 z^2+20 a^4 z^2+19 a^2 z^2+5 z^2-a^9 z-3 a^7 z-2 a^5 z-a^4-2 a^2 }[/math] |
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