K13n3782
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Polynomial invariants
| Jones polynomial | Data:K13n3782/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^2-3 t+5-3 t^{-1} + t^{-2} }[/math] |
| Conway polynomial | Data:K13n3782/Conway Polynomial |
| Determinant | 13 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-z^8-a^4 z^6+8 a^2 z^6+z^6 a^{-2} -8 z^6-5 a^4 z^4+23 a^2 z^4+5 z^4 a^{-2} -22 z^4-8 a^4 z^2+27 a^2 z^2+7 z^2 a^{-2} -25 z^2-4 a^4+11 a^2+3 a^{-2} -9 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+3 a^2 z^{10}+z^{10} a^{-2} +2 z^{10}+2 a^5 z^9-5 a^3 z^9-7 a z^9+2 z^9 a^{-1} +2 z^9 a^{-3} +2 a^6 z^8-11 a^4 z^8-24 a^2 z^8-6 z^8 a^{-2} +z^8 a^{-4} -18 z^8+a^7 z^7-9 a^5 z^7+4 a^3 z^7+11 a z^7-16 z^7 a^{-1} -13 z^7 a^{-3} -10 a^6 z^6+18 a^4 z^6+66 a^2 z^6+9 z^6 a^{-2} -6 z^6 a^{-4} +53 z^6-5 a^7 z^5+7 a^5 z^5+6 a^3 z^5+6 a z^5+37 z^5 a^{-1} +25 z^5 a^{-3} +12 a^6 z^4-17 a^4 z^4-84 a^2 z^4-5 z^4 a^{-2} +10 z^4 a^{-4} -70 z^4+6 a^7 z^3+2 a^5 z^3-11 a^3 z^3-24 a z^3-33 z^3 a^{-1} -16 z^3 a^{-3} -4 a^6 z^2+13 a^4 z^2+48 a^2 z^2+6 z^2 a^{-2} -4 z^2 a^{-4} +41 z^2-2 a^7 z-a^5 z+5 a^3 z+10 a z+10 z a^{-1} +4 z a^{-3} -4 a^4-11 a^2-3 a^{-2} -9 }[/math] |
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