K13n3766
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Polynomial invariants
| Jones polynomial | Data:K13n3766/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+7 t^2-11 t+13-11 t^{-1} +7 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3766/Conway Polynomial |
| Determinant | 53 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^8 a^{-6} +z^6 a^{-2} -9 z^6 a^{-4} +7 z^6 a^{-6} -z^6 a^{-8} +6 z^4 a^{-2} -26 z^4 a^{-4} +19 z^4 a^{-6} -4 z^4 a^{-8} +11 z^2 a^{-2} -29 z^2 a^{-4} +22 z^2 a^{-6} -5 z^2 a^{-8} +6 a^{-2} -11 a^{-4} +8 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +2 z^{10} a^{-4} +2 z^{10} a^{-6} +z^{10} a^{-8} -9 z^9 a^{-3} -9 z^9 a^{-5} +3 z^9 a^{-7} +3 z^9 a^{-9} -9 z^8 a^{-2} -21 z^8 a^{-4} -17 z^8 a^{-6} -z^8 a^{-8} +4 z^8 a^{-10} +26 z^7 a^{-3} +24 z^7 a^{-5} -15 z^7 a^{-7} -9 z^7 a^{-9} +4 z^7 a^{-11} +28 z^6 a^{-2} +72 z^6 a^{-4} +54 z^6 a^{-6} -3 z^6 a^{-8} -10 z^6 a^{-10} +3 z^6 a^{-12} -28 z^5 a^{-3} -15 z^5 a^{-5} +34 z^5 a^{-7} +11 z^5 a^{-9} -9 z^5 a^{-11} +z^5 a^{-13} -38 z^4 a^{-2} -101 z^4 a^{-4} -68 z^4 a^{-6} +10 z^4 a^{-8} +8 z^4 a^{-10} -7 z^4 a^{-12} +8 z^3 a^{-3} -11 z^3 a^{-5} -26 z^3 a^{-7} -z^3 a^{-9} +4 z^3 a^{-11} -2 z^3 a^{-13} +24 z^2 a^{-2} +57 z^2 a^{-4} +36 z^2 a^{-6} -z^2 a^{-10} +2 z^2 a^{-12} +2 z a^{-3} +7 z a^{-5} +6 z a^{-7} -z a^{-11} -6 a^{-2} -11 a^{-4} -8 a^{-6} -2 a^{-8} }[/math] |
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