K13n389
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Polynomial invariants
| Jones polynomial | Data:K13n389/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-13 t^2+22 t-25+22 t^{-1} -13 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n389/Conway Polynomial |
| Determinant | 107 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6+2 z^6 a^{-2} -6 z^6+4 a^2 z^4+8 z^4 a^{-2} -z^4 a^{-4} -14 z^4+5 a^2 z^2+10 z^2 a^{-2} -2 z^2 a^{-4} -14 z^2+2 a^2+4 a^{-2} - a^{-4} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+3 z^{10} a^{-2} +6 z^{10}+3 a^3 z^9+4 a z^9+5 z^9 a^{-1} +4 z^9 a^{-3} +a^4 z^8-11 a^2 z^8-4 z^8 a^{-2} +3 z^8 a^{-4} -19 z^8-15 a^3 z^7-29 a z^7-22 z^7 a^{-1} -7 z^7 a^{-3} +z^7 a^{-5} -5 a^4 z^6+8 a^2 z^6+2 z^6 a^{-2} -2 z^6 a^{-4} +17 z^6+24 a^3 z^5+41 a z^5+20 z^5 a^{-1} +7 z^5 a^{-3} +4 z^5 a^{-5} +8 a^4 z^4+3 a^2 z^4-15 z^4 a^{-2} +z^4 a^{-4} +4 z^4 a^{-6} -17 z^4-13 a^3 z^3-20 a z^3-13 z^3 a^{-1} -9 z^3 a^{-3} -2 z^3 a^{-5} +z^3 a^{-7} -4 a^4 z^2+a^2 z^2+13 z^2 a^{-2} +z^2 a^{-4} -z^2 a^{-6} +16 z^2+2 a^3 z+4 a z+4 z a^{-1} +3 z a^{-3} +z a^{-5} -2 a^2-4 a^{-2} - a^{-4} -4 }[/math] |
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