K13n179
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Polynomial invariants
| Jones polynomial | Data:K13n179/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+13 t^2-34 t+47-34 t^{-1} +13 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n179/Conway Polynomial |
| Determinant | 145 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-2} -7 z^4 a^{-2} +3 z^4 a^{-4} +5 z^4-4 a^2 z^2-12 z^2 a^{-2} +6 z^2 a^{-4} -z^2 a^{-6} +11 z^2+a^4-4 a^2-7 a^{-2} +4 a^{-4} - a^{-6} +8 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +8 z^{10} a^{-2} +4 z^{10} a^{-4} +4 z^{10}+5 a z^9+13 z^9 a^{-1} +14 z^9 a^{-3} +6 z^9 a^{-5} +2 a^2 z^8-10 z^8 a^{-2} +z^8 a^{-4} +4 z^8 a^{-6} -5 z^8-18 a z^7-54 z^7 a^{-1} -53 z^7 a^{-3} -16 z^7 a^{-5} +z^7 a^{-7} -4 a^2 z^6-32 z^6 a^{-2} -37 z^6 a^{-4} -13 z^6 a^{-6} -12 z^6+4 a^3 z^5+38 a z^5+76 z^5 a^{-1} +52 z^5 a^{-3} +7 z^5 a^{-5} -3 z^5 a^{-7} +a^4 z^4+13 a^2 z^4+64 z^4 a^{-2} +46 z^4 a^{-4} +13 z^4 a^{-6} +43 z^4-6 a^3 z^3-28 a z^3-40 z^3 a^{-1} -20 z^3 a^{-3} +z^3 a^{-5} +3 z^3 a^{-7} -2 a^4 z^2-14 a^2 z^2-37 z^2 a^{-2} -22 z^2 a^{-4} -6 z^2 a^{-6} -33 z^2+2 a^3 z+6 a z+7 z a^{-1} +3 z a^{-3} -z a^{-5} -z a^{-7} +a^4+4 a^2+7 a^{-2} +4 a^{-4} + a^{-6} +8 }[/math] |
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