K13n3763
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Polynomial invariants
| Jones polynomial | Data:K13n3763/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+3 t^4-3 t^3+5 t-7+5 t^{-1} -3 t^{-3} +3 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n3763/Conway Polynomial |
| Determinant | 3 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-8} +z^8 a^{-6} -9 z^8 a^{-8} +z^8 a^{-10} +8 z^6 a^{-6} -31 z^6 a^{-8} +9 z^6 a^{-10} +23 z^4 a^{-6} -55 z^4 a^{-8} +26 z^4 a^{-10} -2 z^4 a^{-12} +28 z^2 a^{-6} -53 z^2 a^{-8} +31 z^2 a^{-10} -5 z^2 a^{-12} +12 a^{-6} -22 a^{-8} +14 a^{-10} -3 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +5 z^{10} a^{-8} +4 z^{10} a^{-10} -6 z^9 a^{-7} -z^9 a^{-9} +5 z^9 a^{-11} -9 z^8 a^{-6} -39 z^8 a^{-8} -30 z^8 a^{-10} +z^8 a^{-12} +z^8 a^{-14} +7 z^7 a^{-7} -32 z^7 a^{-9} -42 z^7 a^{-11} +3 z^7 a^{-15} +31 z^6 a^{-6} +106 z^6 a^{-8} +66 z^6 a^{-10} -13 z^6 a^{-12} -z^6 a^{-14} +3 z^6 a^{-16} +15 z^5 a^{-7} +106 z^5 a^{-9} +100 z^5 a^{-11} -8 z^5 a^{-15} +z^5 a^{-17} -51 z^4 a^{-6} -131 z^4 a^{-8} -58 z^4 a^{-10} +26 z^4 a^{-12} -4 z^4 a^{-14} -8 z^4 a^{-16} -35 z^3 a^{-7} -114 z^3 a^{-9} -87 z^3 a^{-11} -3 z^3 a^{-13} +3 z^3 a^{-15} -2 z^3 a^{-17} +40 z^2 a^{-6} +80 z^2 a^{-8} +33 z^2 a^{-10} -8 z^2 a^{-12} +2 z^2 a^{-14} +3 z^2 a^{-16} +18 z a^{-7} +41 z a^{-9} +28 z a^{-11} +4 z a^{-13} -z a^{-15} -12 a^{-6} -22 a^{-8} -14 a^{-10} -3 a^{-12} }[/math] |
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