K13a2550
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Polynomial invariants
| Jones polynomial | Data:K13a2550/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+5 t^4-11 t^3+18 t^2-24 t+27-24 t^{-1} +18 t^{-2} -11 t^{-3} +5 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13a2550/Conway Polynomial |
| Determinant | 145 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10}+2 a^2 z^8+z^8 a^{-2} -8 z^8-a^4 z^6+14 a^2 z^6+6 z^6 a^{-2} -25 z^6-6 a^4 z^4+35 a^2 z^4+12 z^4 a^{-2} -39 z^4-11 a^4 z^2+37 a^2 z^2+9 z^2 a^{-2} -31 z^2-6 a^4+14 a^2+2 a^{-2} -9 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{12}+z^{12}+3 a^3 z^{11}+6 a z^{11}+3 z^{11} a^{-1} +4 a^4 z^{10}+4 a^2 z^{10}+4 z^{10} a^{-2} +4 z^{10}+3 a^5 z^9-10 a^3 z^9-25 a z^9-8 z^9 a^{-1} +4 z^9 a^{-3} +2 a^6 z^8-18 a^4 z^8-38 a^2 z^8-11 z^8 a^{-2} +4 z^8 a^{-4} -33 z^8+a^7 z^7-11 a^5 z^7+5 a^3 z^7+34 a z^7+7 z^7 a^{-1} -7 z^7 a^{-3} +3 z^7 a^{-5} -8 a^6 z^6+32 a^4 z^6+94 a^2 z^6+16 z^6 a^{-2} -9 z^6 a^{-4} +z^6 a^{-6} +80 z^6-5 a^7 z^5+9 a^5 z^5+17 a^3 z^5+2 a z^5+6 z^5 a^{-1} -2 z^5 a^{-3} -9 z^5 a^{-5} +7 a^6 z^4-37 a^4 z^4-102 a^2 z^4-17 z^4 a^{-2} +2 z^4 a^{-4} -3 z^4 a^{-6} -80 z^4+7 a^7 z^3-3 a^5 z^3-28 a^3 z^3-24 a z^3-7 z^3 a^{-1} +6 z^3 a^{-3} +7 z^3 a^{-5} -a^6 z^2+22 a^4 z^2+55 a^2 z^2+10 z^2 a^{-2} +z^2 a^{-4} +2 z^2 a^{-6} +43 z^2-3 a^7 z+a^5 z+11 a^3 z+11 a z+2 z a^{-1} -4 z a^{-3} -2 z a^{-5} -6 a^4-14 a^2-2 a^{-2} -9 }[/math] |
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