K13n413
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Polynomial invariants
| Jones polynomial | Data:K13n413/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^3+5 t^2-6 t+7-6 t^{-1} +5 t^{-2} -3 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n413/Conway Polynomial |
| Determinant | 37 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +7 z^6 a^{-2} -z^6 a^{-4} -z^6+17 z^4 a^{-2} -5 z^4 a^{-4} -5 z^4+17 z^2 a^{-2} -7 z^2 a^{-4} -7 z^2+6 a^{-2} -3 a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +4 z^{10} a^{-2} +2 z^{10} a^{-4} +2 z^{10}+a z^9-4 z^9 a^{-1} -3 z^9 a^{-3} +2 z^9 a^{-5} -26 z^8 a^{-2} -10 z^8 a^{-4} +2 z^8 a^{-6} -14 z^8-7 a z^7-3 z^7 a^{-1} -6 z^7 a^{-3} -9 z^7 a^{-5} +z^7 a^{-7} +57 z^6 a^{-2} +14 z^6 a^{-4} -10 z^6 a^{-6} +33 z^6+16 a z^5+25 z^5 a^{-1} +22 z^5 a^{-3} +8 z^5 a^{-5} -5 z^5 a^{-7} -56 z^4 a^{-2} -12 z^4 a^{-4} +12 z^4 a^{-6} -32 z^4-13 a z^3-26 z^3 a^{-1} -20 z^3 a^{-3} -z^3 a^{-5} +6 z^3 a^{-7} +27 z^2 a^{-2} +9 z^2 a^{-4} -4 z^2 a^{-6} +14 z^2+3 a z+7 z a^{-1} +6 z a^{-3} -2 z a^{-7} -6 a^{-2} -3 a^{-4} -2 }[/math] |
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