K13n1090
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Polynomial invariants
| Jones polynomial | Data:K13n1090/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^2-12 t+17-12 t^{-1} +4 t^{-2} }[/math] |
| Conway polynomial | Data:K13n1090/Conway Polynomial |
| Determinant | 49 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6-z^6 a^{-2} -a^4 z^4+6 a^2 z^4-4 z^4 a^{-2} +z^4 a^{-4} +2 z^4-4 a^4 z^2+9 a^2 z^2-7 z^2 a^{-2} +2 z^2 a^{-4} +4 z^2-3 a^4+4 a^2-4 a^{-2} + a^{-4} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^4 z^{10}+2 a^2 z^{10}+3 z^{10} a^{-2} +4 z^{10}+a^5 z^9+2 a^3 z^9-4 a z^9-z^9 a^{-1} +4 z^9 a^{-3} -8 a^4 z^8-16 a^2 z^8-12 z^8 a^{-2} +4 z^8 a^{-4} -24 z^8-8 a^5 z^7-18 a^3 z^7-7 a z^7-14 z^7 a^{-1} -14 z^7 a^{-3} +3 z^7 a^{-5} +20 a^4 z^6+38 a^2 z^6+10 z^6 a^{-2} -13 z^6 a^{-4} +z^6 a^{-6} +42 z^6+21 a^5 z^5+47 a^3 z^5+38 a z^5+30 z^5 a^{-1} +8 z^5 a^{-3} -10 z^5 a^{-5} -21 a^4 z^4-35 a^2 z^4+6 z^4 a^{-2} +7 z^4 a^{-4} -3 z^4 a^{-6} -18 z^4-22 a^5 z^3-48 a^3 z^3-36 a z^3-10 z^3 a^{-1} +6 z^3 a^{-3} +6 z^3 a^{-5} +10 a^4 z^2+14 a^2 z^2-9 z^2 a^{-2} -2 z^2 a^{-4} +z^2 a^{-6} -2 z^2+8 a^5 z+16 a^3 z+10 a z-2 z a^{-1} -6 z a^{-3} -2 z a^{-5} -3 a^4-4 a^2+4 a^{-2} + a^{-4} +3 }[/math] |
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