K13n3707
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Polynomial invariants
| Jones polynomial | Data:K13n3707/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 7 t^3-25 t^2+47 t-57+47 t^{-1} -25 t^{-2} +7 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3707/Conway Polynomial |
| Determinant | 215 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +4 z^6 a^{-8} +2 z^6 a^{-10} +2 z^4 a^{-6} +14 z^4 a^{-8} +3 z^4 a^{-10} -2 z^4 a^{-12} +z^2 a^{-6} +15 z^2 a^{-8} -3 z^2 a^{-10} -3 z^2 a^{-12} +5 a^{-8} -4 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-11} +2 z^{11} a^{-13} +8 z^{10} a^{-10} +13 z^{10} a^{-12} +5 z^{10} a^{-14} +12 z^9 a^{-9} +21 z^9 a^{-11} +13 z^9 a^{-13} +4 z^9 a^{-15} +10 z^8 a^{-8} +z^8 a^{-10} -13 z^8 a^{-12} -3 z^8 a^{-14} +z^8 a^{-16} +4 z^7 a^{-7} -19 z^7 a^{-9} -52 z^7 a^{-11} -31 z^7 a^{-13} -2 z^7 a^{-15} +z^6 a^{-6} -22 z^6 a^{-8} -29 z^6 a^{-10} -8 z^6 a^{-12} +4 z^6 a^{-14} +6 z^6 a^{-16} -6 z^5 a^{-7} +3 z^5 a^{-9} +39 z^5 a^{-11} +31 z^5 a^{-13} +4 z^5 a^{-15} +3 z^5 a^{-17} -2 z^4 a^{-6} +23 z^4 a^{-8} +28 z^4 a^{-10} +9 z^4 a^{-12} -5 z^4 a^{-14} -11 z^4 a^{-16} +2 z^3 a^{-7} +6 z^3 a^{-9} -11 z^3 a^{-11} -17 z^3 a^{-13} -7 z^3 a^{-15} -5 z^3 a^{-17} +z^2 a^{-6} -17 z^2 a^{-8} -14 z^2 a^{-10} +z^2 a^{-12} +z^2 a^{-14} +4 z^2 a^{-16} -4 z a^{-9} +4 z a^{-13} +2 z a^{-15} +2 z a^{-17} +5 a^{-8} +4 a^{-10} }[/math] |
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