K13n3209
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Polynomial invariants
| Jones polynomial | Data:K13n3209/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+15 t^2-28 t+35-28 t^{-1} +15 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3209/Conway Polynomial |
| Determinant | 133 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+6 a^2 z^6-2 z^6-4 a^4 z^4+15 a^2 z^4+z^4 a^{-2} -7 z^4-6 a^4 z^2+16 a^2 z^2+z^2 a^{-2} -8 z^2-3 a^4+6 a^2-2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+5 a^4 z^{10}+10 a^2 z^{10}+5 z^{10}+5 a^5 z^9+3 a^3 z^9+2 a z^9+4 z^9 a^{-1} +3 a^6 z^8-16 a^4 z^8-37 a^2 z^8+z^8 a^{-2} -17 z^8+a^7 z^7-18 a^5 z^7-31 a^3 z^7-21 a z^7-9 z^7 a^{-1} -11 a^6 z^6+15 a^4 z^6+56 a^2 z^6+6 z^6 a^{-2} +36 z^6-4 a^7 z^5+19 a^5 z^5+50 a^3 z^5+41 a z^5+19 z^5 a^{-1} +5 z^5 a^{-3} +10 a^6 z^4-11 a^4 z^4-47 a^2 z^4-8 z^4 a^{-2} +z^4 a^{-4} -35 z^4+4 a^7 z^3-11 a^5 z^3-34 a^3 z^3-31 a z^3-16 z^3 a^{-1} -4 z^3 a^{-3} -3 a^6 z^2+8 a^4 z^2+24 a^2 z^2+2 z^2 a^{-2} +15 z^2-a^7 z+3 a^5 z+9 a^3 z+8 a z+3 z a^{-1} -3 a^4-6 a^2-2 }[/math] |
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