K13n3577
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Polynomial invariants
| Jones polynomial | Data:K13n3577/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 5 t^2-20 t+31-20 t^{-1} +5 t^{-2} }[/math] |
| Conway polynomial | Data:K13n3577/Conway Polynomial |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6+2 z^4 a^4+2 z^2 a^4+a^4-z^6 a^2-3 z^4 a^2-6 z^2 a^2-3 a^2+z^6+7 z^4+9 z^2+4-z^4 a^{-2} -4 z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+5 a^2 z^{10}+z^{10}+6 a^5 z^9+5 a^3 z^9-a z^9+4 a^6 z^8-9 a^4 z^8-18 a^2 z^8+z^8 a^{-2} -4 z^8+a^7 z^7-21 a^5 z^7-31 a^3 z^7-12 a z^7-2 z^7 a^{-1} +z^7 a^{-3} -14 a^6 z^6-8 a^4 z^6+12 a^2 z^6-9 z^6 a^{-2} -3 z^6-3 a^7 z^5+17 a^5 z^5+38 a^3 z^5+28 a z^5+4 z^5 a^{-1} -6 z^5 a^{-3} +12 a^6 z^4+15 a^4 z^4+11 a^2 z^4+18 z^4 a^{-2} +26 z^4+2 a^7 z^3-6 a^5 z^3-19 a^3 z^3-17 a z^3+z^3 a^{-1} +7 z^3 a^{-3} -3 a^6 z^2-6 a^4 z^2-13 a^2 z^2-11 z^2 a^{-2} -21 z^2+a^5 z+4 a^3 z+4 a z-z a^{-3} +a^4+3 a^2+ a^{-2} +4 }[/math] |
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