K13n3345
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Polynomial invariants
| Jones polynomial | Data:K13n3345/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+15 t^2-35 t+47-35 t^{-1} +15 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3345/Conway Polynomial |
| Determinant | 153 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6-2 z^6+a^4 z^4-a^2 z^4+3 z^4 a^{-2} -6 z^4+a^4 z^2+a^2 z^2+5 z^2 a^{-2} -z^2 a^{-4} -8 z^2+2 a^2+2 a^{-2} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +6 a^2 z^{10}+3 z^{10} a^{-2} +9 z^{10}+9 a^3 z^9+5 a z^9-3 z^9 a^{-1} +z^9 a^{-3} +8 a^4 z^8-10 a^2 z^8-9 z^8 a^{-2} -27 z^8+4 a^5 z^7-23 a^3 z^7-20 a z^7+11 z^7 a^{-1} +4 z^7 a^{-3} +a^6 z^6-21 a^4 z^6+2 a^2 z^6+28 z^6 a^{-2} +5 z^6 a^{-4} +47 z^6-9 a^5 z^5+19 a^3 z^5+24 a z^5-12 z^5 a^{-1} -7 z^5 a^{-3} +z^5 a^{-5} -2 a^6 z^4+15 a^4 z^4+3 a^2 z^4-35 z^4 a^{-2} -8 z^4 a^{-4} -41 z^4+3 a^5 z^3-7 a^3 z^3-9 a z^3+3 z^3 a^{-1} +z^3 a^{-3} -z^3 a^{-5} -4 a^4 z^2+2 a^2 z^2+14 z^2 a^{-2} +2 z^2 a^{-4} +18 z^2+a^3 z+a z+z a^{-1} +z a^{-3} -2 a^2-2 a^{-2} -3 }[/math] |
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