K13n3706
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Polynomial invariants
| Jones polynomial | Data:K13n3706/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+3 t^2-5 t+7-5 t^{-1} +3 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3706/Conway Polynomial |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -a^2 z^4-4 z^4 a^{-2} +z^4 a^{-4} +z^4+a^4 z^2-3 a^2 z^2-5 z^2 a^{-2} +2 z^2 a^{-4} +3 z^2+a^4-2 a^2-2 a^{-2} + a^{-4} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10} a^{-2} +2 z^{10}+2 a^3 z^9+4 a z^9+5 z^9 a^{-1} +3 z^9 a^{-3} +a^4 z^8-5 a^2 z^8-z^8 a^{-2} +4 z^8 a^{-4} -11 z^8-13 a^3 z^7-29 a z^7-31 z^7 a^{-1} -12 z^7 a^{-3} +3 z^7 a^{-5} -6 a^4 z^6-15 z^6 a^{-2} -15 z^6 a^{-4} +z^6 a^{-6} +7 z^6+24 a^3 z^5+56 a z^5+52 z^5 a^{-1} +10 z^5 a^{-3} -10 z^5 a^{-5} +10 a^4 z^4+14 a^2 z^4+29 z^4 a^{-2} +12 z^4 a^{-4} -3 z^4 a^{-6} +18 z^4-17 a^3 z^3-35 a z^3-26 z^3 a^{-1} -3 z^3 a^{-3} +5 z^3 a^{-5} -6 a^4 z^2-12 a^2 z^2-15 z^2 a^{-2} -6 z^2 a^{-4} +z^2 a^{-6} -14 z^2+3 a^3 z+6 a z+4 z a^{-1} -z a^{-5} +a^4+2 a^2+2 a^{-2} + a^{-4} +3 }[/math] |
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