K13n3618
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Polynomial invariants
| Jones polynomial | Data:K13n3618/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+15 t^2-30 t+39-30 t^{-1} +15 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3618/Conway Polynomial |
| Determinant | 141 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+5 a^2 z^6-z^6-3 a^4 z^4+9 a^2 z^4-z^4-3 a^4 z^2+4 a^2 z^2-2 z^2 a^{-2} +2 z^2-a^2- a^{-2} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+6 a^4 z^{10}+9 a^2 z^{10}+3 z^{10}+7 a^5 z^9+5 a^3 z^9-a z^9+z^9 a^{-1} +4 a^6 z^8-15 a^4 z^8-24 a^2 z^8-5 z^8+a^7 z^7-23 a^5 z^7-26 a^3 z^7+3 a z^7+5 z^7 a^{-1} -13 a^6 z^6+6 a^4 z^6+24 a^2 z^6+3 z^6 a^{-2} +8 z^6-3 a^7 z^5+21 a^5 z^5+21 a^3 z^5-11 a z^5-8 z^5 a^{-1} +11 a^6 z^4-a^4 z^4-17 a^2 z^4+6 z^4 a^{-2} +z^4+2 a^7 z^3-7 a^5 z^3-7 a^3 z^3+8 a z^3+11 z^3 a^{-1} +5 z^3 a^{-3} -2 a^6 z^2+2 a^4 z^2+3 a^2 z^2-7 z^2 a^{-2} -8 z^2+a^5 z+a^3 z-2 a z-4 z a^{-1} -2 z a^{-3} +a^2+ a^{-2} +3 }[/math] |
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