K13n3170
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Polynomial invariants
| Jones polynomial | Data:K13n3170/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+20 t^2-34 t+41-34 t^{-1} +20 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3170/Conway Polynomial |
| Determinant | 165 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-a^2 z^6-2 z^6 a^{-2} +4 z^6-2 a^2 z^4-6 z^4 a^{-2} +z^4 a^{-4} +5 z^4-4 z^2 a^{-2} +2 z^2 a^{-4} +z^2+a^2+ a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+5 z^{10} a^{-2} +8 z^{10}+2 a^3 z^9+9 a z^9+16 z^9 a^{-1} +9 z^9 a^{-3} -5 a^2 z^8+2 z^8 a^{-2} +8 z^8 a^{-4} -11 z^8-2 a^3 z^7-27 a z^7-49 z^7 a^{-1} -20 z^7 a^{-3} +4 z^7 a^{-5} +5 a^4 z^6+14 a^2 z^6-28 z^6 a^{-2} -20 z^6 a^{-4} +z^6 a^{-6} +2 z^6+a^5 z^5+9 a^3 z^5+42 a z^5+58 z^5 a^{-1} +15 z^5 a^{-3} -9 z^5 a^{-5} -7 a^4 z^4-15 a^2 z^4+32 z^4 a^{-2} +16 z^4 a^{-4} -2 z^4 a^{-6} +6 z^4-2 a^5 z^3-14 a^3 z^3-31 a z^3-30 z^3 a^{-1} -7 z^3 a^{-3} +4 z^3 a^{-5} +a^4 z^2+4 a^2 z^2-10 z^2 a^{-2} -6 z^2 a^{-4} -z^2+a^5 z+5 a^3 z+8 a z+6 z a^{-1} +2 z a^{-3} -a^2- a^{-2} -1 }[/math] |
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