K13a3844
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Polynomial invariants
| Jones polynomial | Data:K13a3844/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-14 t^3+47 t^2-93 t+117-93 t^{-1} +47 t^{-2} -14 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a3844/Conway Polynomial |
| Determinant | 429 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8+z^8-2 a^4 z^6+2 a^2 z^6-z^6 a^{-2} +3 z^6+a^6 z^4-3 a^4 z^4+2 a^2 z^4-2 z^4 a^{-2} +5 z^4-2 z^2 a^{-2} +3 z^2-a^6+2 a^4-a^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 6 a^4 z^{12}+6 a^2 z^{12}+15 a^5 z^{11}+35 a^3 z^{11}+20 a z^{11}+14 a^6 z^{10}+20 a^4 z^{10}+39 a^2 z^{10}+33 z^{10}+6 a^7 z^9-40 a^5 z^9-87 a^3 z^9-5 a z^9+36 z^9 a^{-1} +a^8 z^8-48 a^6 z^8-114 a^4 z^8-141 a^2 z^8+27 z^8 a^{-2} -49 z^8-18 a^7 z^7+19 a^5 z^7+42 a^3 z^7-69 a z^7-60 z^7 a^{-1} +14 z^7 a^{-3} -2 a^8 z^6+50 a^6 z^6+137 a^4 z^6+132 a^2 z^6-36 z^6 a^{-2} +5 z^6 a^{-4} +6 z^6+13 a^7 z^5+13 a^5 z^5+18 a^3 z^5+64 a z^5+35 z^5 a^{-1} -10 z^5 a^{-3} +z^5 a^{-5} -13 a^6 z^4-51 a^4 z^4-51 a^2 z^4+20 z^4 a^{-2} -z^4 a^{-4} +8 z^4+a^7 z^3-2 a^5 z^3-13 a^3 z^3-22 a z^3-9 z^3 a^{-1} +3 z^3 a^{-3} -3 a^6 z^2+a^4 z^2+5 a^2 z^2-4 z^2 a^{-2} -3 z^2-2 a^7 z-2 a^5 z+2 a^3 z+3 a z+z a^{-1} +a^6+2 a^4+a^2+1 }[/math] |
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