K13n2176
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Polynomial invariants
| Jones polynomial | Data:K13n2176/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+6 t^2-12 t+17-12 t^{-1} +6 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2176/Conway Polynomial |
| Determinant | 57 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6-z^6+a^4 z^4-4 a^2 z^4+z^4 a^{-2} -4 z^4+3 a^4 z^2-5 a^2 z^2+2 z^2 a^{-2} -6 z^2+2 a^4-a^2+ a^{-2} + a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+z^{10} a^{-2} +3 z^{10}+3 a^3 z^9-4 a z^9-7 z^9 a^{-1} +3 a^4 z^8-8 a^2 z^8-7 z^8 a^{-2} -18 z^8+2 a^5 z^7-13 a^3 z^7+6 a z^7+22 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6-12 a^4 z^6+9 a^2 z^6+21 z^6 a^{-2} +43 z^6-7 a^5 z^5+19 a^3 z^5-5 a z^5-33 z^5 a^{-1} -2 z^5 a^{-3} -4 a^6 z^4+14 a^4 z^4+2 a^2 z^4-25 z^4 a^{-2} +2 z^4 a^{-4} -43 z^4+4 a^5 z^3-12 a^3 z^3+10 a z^3+27 z^3 a^{-1} +z^3 a^{-3} +3 a^6 z^2-9 a^4 z^2-6 a^2 z^2+10 z^2 a^{-2} -5 z^2 a^{-4} +21 z^2+a^3 z-5 a z-7 z a^{-1} -z a^{-3} +2 a^4+a^2- a^{-2} + a^{-4} -2 }[/math] |
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