K13n3835
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Polynomial invariants
| Jones polynomial | Data:K13n3835/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+3 t^2-5 t+7-5 t^{-1} +3 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3835/Conway Polynomial |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+3 z^2 a^6+2 a^6-z^6 a^4-4 z^4 a^4-5 z^2 a^4-2 a^4-z^6 a^2-5 z^4 a^2-8 z^2 a^2-4 a^2+z^6+6 z^4+11 z^2+7-z^4 a^{-2} -3 z^2 a^{-2} -2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+2 a^6 z^{10}+3 a^4 z^{10}+a^2 z^{10}+2 a^7 z^9-4 a^5 z^9-7 a^3 z^9+z^9 a^{-1} +a^8 z^8-10 a^6 z^8-18 a^4 z^8-7 a^2 z^8+2 z^8 a^{-2} +2 z^8-11 a^7 z^7+4 a^5 z^7+20 a^3 z^7-4 z^7 a^{-1} +z^7 a^{-3} -6 a^8 z^6+14 a^6 z^6+37 a^4 z^6+12 a^2 z^6-11 z^6 a^{-2} -16 z^6+18 a^7 z^5-8 a^5 z^5-39 a^3 z^5-11 a z^5-3 z^5 a^{-1} -5 z^5 a^{-3} +11 a^8 z^4-9 a^6 z^4-42 a^4 z^4-8 a^2 z^4+16 z^4 a^{-2} +30 z^4-10 a^7 z^3+11 a^5 z^3+37 a^3 z^3+23 a z^3+13 z^3 a^{-1} +6 z^3 a^{-3} -6 a^8 z^2+6 a^6 z^2+21 a^4 z^2-3 a^2 z^2-9 z^2 a^{-2} -21 z^2+2 a^7 z-4 a^5 z-14 a^3 z-12 a z-6 z a^{-1} -2 z a^{-3} -2 a^6-2 a^4+4 a^2+2 a^{-2} +7 }[/math] |
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