K13n2161
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Polynomial invariants
| Jones polynomial | Data:K13n2161/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-9 t^2+15 t-17+15 t^{-1} -9 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2161/Conway Polynomial |
| Determinant | 75 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6+z^6 a^{-2} -6 z^6+4 a^2 z^4+4 z^4 a^{-2} -13 z^4+5 a^2 z^2+6 z^2 a^{-2} -12 z^2+2 a^2+4 a^{-2} - a^{-4} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +4 a^2 z^{10}+4 z^{10} a^{-2} +8 z^{10}+3 a^3 z^9-4 a z^9-5 z^9 a^{-1} +2 z^9 a^{-3} +a^4 z^8-19 a^2 z^8-21 z^8 a^{-2} -41 z^8-15 a^3 z^7-15 a z^7-8 z^7 a^{-1} -8 z^7 a^{-3} -5 a^4 z^6+25 a^2 z^6+41 z^6 a^{-2} +2 z^6 a^{-4} +69 z^6+22 a^3 z^5+36 a z^5+26 z^5 a^{-1} +12 z^5 a^{-3} +7 a^4 z^4-13 a^2 z^4-41 z^4 a^{-2} -4 z^4 a^{-4} -57 z^4-12 a^3 z^3-25 a z^3-25 z^3 a^{-1} -10 z^3 a^{-3} +2 z^3 a^{-5} -3 a^4 z^2+7 a^2 z^2+17 z^2 a^{-2} +4 z^2 a^{-4} +z^2 a^{-6} +24 z^2+3 a^3 z+7 a z+7 z a^{-1} +4 z a^{-3} +z a^{-5} -2 a^2-4 a^{-2} - a^{-4} -4 }[/math] |
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