K13n130
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Polynomial invariants
| Jones polynomial | Data:K13n130/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-16 t^2+27 t-31+27 t^{-1} -16 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n130/Conway Polynomial |
| Determinant | 131 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +2 z^6 a^{-2} -5 z^6 a^{-4} +z^6 a^{-6} +7 z^4 a^{-2} -9 z^4 a^{-4} +3 z^4 a^{-6} -z^4+7 z^2 a^{-2} -6 z^2 a^{-4} +2 z^2 a^{-6} -2 z^2+2 a^{-2} - a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +6 z^{10} a^{-4} +4 z^{10} a^{-6} +z^9 a^{-1} +2 z^9 a^{-3} +8 z^9 a^{-5} +7 z^9 a^{-7} -6 z^8 a^{-2} -16 z^8 a^{-4} -3 z^8 a^{-6} +7 z^8 a^{-8} -9 z^7 a^{-3} -30 z^7 a^{-5} -17 z^7 a^{-7} +4 z^7 a^{-9} +20 z^6 a^{-2} +24 z^6 a^{-4} -12 z^6 a^{-6} -19 z^6 a^{-8} +z^6 a^{-10} +4 z^6+a z^5+4 z^5 a^{-1} +25 z^5 a^{-3} +43 z^5 a^{-5} +11 z^5 a^{-7} -10 z^5 a^{-9} -25 z^4 a^{-2} -14 z^4 a^{-4} +18 z^4 a^{-6} +13 z^4 a^{-8} -2 z^4 a^{-10} -8 z^4-2 a z^3-10 z^3 a^{-1} -25 z^3 a^{-3} -24 z^3 a^{-5} -3 z^3 a^{-7} +4 z^3 a^{-9} +10 z^2 a^{-2} +4 z^2 a^{-4} -5 z^2 a^{-6} -3 z^2 a^{-8} +4 z^2+a z+4 z a^{-1} +7 z a^{-3} +5 z a^{-5} +z a^{-7} -2 a^{-2} - a^{-4} }[/math] |
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