K13a1834
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Polynomial invariants
| Jones polynomial | Data:K13a1834/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+7 t^4-22 t^3+44 t^2-65 t+75-65 t^{-1} +44 t^{-2} -22 t^{-3} +7 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13a1834/Conway Polynomial |
| Determinant | 353 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10}+2 a^2 z^8+z^8 a^{-2} -6 z^8-a^4 z^6+9 a^2 z^6+4 z^6 a^{-2} -13 z^6-3 a^4 z^4+12 a^2 z^4+4 z^4 a^{-2} -11 z^4-2 a^4 z^2+4 a^2 z^2-2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^2 z^{12}+3 z^{12}+10 a^3 z^{11}+20 a z^{11}+10 z^{11} a^{-1} +14 a^4 z^{10}+24 a^2 z^{10}+15 z^{10} a^{-2} +25 z^{10}+11 a^5 z^9-8 a^3 z^9-35 a z^9-z^9 a^{-1} +15 z^9 a^{-3} +5 a^6 z^8-33 a^4 z^8-86 a^2 z^8-21 z^8 a^{-2} +11 z^8 a^{-4} -80 z^8+a^7 z^7-28 a^5 z^7-30 a^3 z^7-4 a z^7-33 z^7 a^{-1} -25 z^7 a^{-3} +5 z^7 a^{-5} -12 a^6 z^6+20 a^4 z^6+95 a^2 z^6+z^6 a^{-2} -20 z^6 a^{-4} +z^6 a^{-6} +85 z^6-2 a^7 z^5+19 a^5 z^5+41 a^3 z^5+45 a z^5+42 z^5 a^{-1} +9 z^5 a^{-3} -8 z^5 a^{-5} +7 a^6 z^4-7 a^4 z^4-41 a^2 z^4+10 z^4 a^{-2} +9 z^4 a^{-4} -z^4 a^{-6} -27 z^4+a^7 z^3-6 a^5 z^3-19 a^3 z^3-25 a z^3-15 z^3 a^{-1} +2 z^3 a^{-5} -a^6 z^2+2 a^4 z^2+5 a^2 z^2-4 z^2 a^{-2} -z^2 a^{-4} -z^2+a^5 z+3 a^3 z+3 a z+z a^{-1} +1 }[/math] |
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