K13n1942
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Polynomial invariants
| Jones polynomial | Data:K13n1942/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+13 t^2-32 t+43-32 t^{-1} +13 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1942/Conway Polynomial |
| Determinant | 137 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+a^2 z^4+2 z^4 a^{-4} -2 z^4+a^2 z^2+4 z^2 a^{-2} +2 z^2 a^{-4} -z^2 a^{-6} -4 z^2+a^2+4 a^{-2} - a^{-6} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +7 z^{10} a^{-2} +4 z^{10} a^{-4} +3 z^{10}+3 a z^9+8 z^9 a^{-1} +10 z^9 a^{-3} +5 z^9 a^{-5} +a^2 z^8-13 z^8 a^{-2} -6 z^8 a^{-4} +3 z^8 a^{-6} -3 z^8-5 a z^7-27 z^7 a^{-1} -38 z^7 a^{-3} -15 z^7 a^{-5} +z^7 a^{-7} +3 a^2 z^6+3 z^6 a^{-2} -7 z^6 a^{-4} -10 z^6 a^{-6} +3 z^6+4 a^3 z^5+13 a z^5+33 z^5 a^{-1} +40 z^5 a^{-3} +12 z^5 a^{-5} -4 z^5 a^{-7} +a^4 z^4-a^2 z^4-5 z^4 a^{-2} +6 z^4 a^{-4} +10 z^4 a^{-6} -3 z^4-4 a^3 z^3-10 a z^3-19 z^3 a^{-1} -22 z^3 a^{-3} -4 z^3 a^{-5} +5 z^3 a^{-7} -a^4 z^2+10 z^2 a^{-2} -4 z^2 a^{-6} +7 z^2+a^3 z+3 a z+5 z a^{-1} +5 z a^{-3} -2 z a^{-7} -a^2-4 a^{-2} + a^{-6} -3 }[/math] |
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