K13n1301
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Polynomial invariants
| Jones polynomial | Data:K13n1301/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-2 t^3-8 t^2+27 t-37+27 t^{-1} -8 t^{-2} -2 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1301/Conway Polynomial |
| Determinant | 99 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-8} +z^8 a^{-10} +7 z^6 a^{-8} +8 z^6 a^{-10} -z^6 a^{-12} +14 z^4 a^{-8} +17 z^4 a^{-10} -11 z^4 a^{-12} +11 z^2 a^{-8} +14 z^2 a^{-10} -21 z^2 a^{-12} +5 z^2 a^{-14} +3 a^{-8} +4 a^{-10} -11 a^{-12} +6 a^{-14} - a^{-16} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-13} +z^{11} a^{-15} +z^{10} a^{-10} +3 z^{10} a^{-12} +6 z^{10} a^{-14} +4 z^{10} a^{-16} +z^9 a^{-9} +2 z^9 a^{-11} +3 z^9 a^{-13} +8 z^9 a^{-15} +6 z^9 a^{-17} +z^8 a^{-8} -9 z^8 a^{-10} -19 z^8 a^{-12} -19 z^8 a^{-14} -6 z^8 a^{-16} +4 z^8 a^{-18} -7 z^7 a^{-9} -19 z^7 a^{-11} -31 z^7 a^{-13} -40 z^7 a^{-15} -20 z^7 a^{-17} +z^7 a^{-19} -7 z^6 a^{-8} +21 z^6 a^{-10} +47 z^6 a^{-12} +18 z^6 a^{-14} -15 z^6 a^{-16} -14 z^6 a^{-18} +10 z^5 a^{-9} +52 z^5 a^{-11} +77 z^5 a^{-13} +55 z^5 a^{-15} +17 z^5 a^{-17} -3 z^5 a^{-19} +14 z^4 a^{-8} -18 z^4 a^{-10} -49 z^4 a^{-12} -9 z^4 a^{-14} +21 z^4 a^{-16} +13 z^4 a^{-18} -z^3 a^{-9} -44 z^3 a^{-11} -77 z^3 a^{-13} -43 z^3 a^{-15} -7 z^3 a^{-17} +2 z^3 a^{-19} -11 z^2 a^{-8} +12 z^2 a^{-10} +33 z^2 a^{-12} +6 z^2 a^{-14} -7 z^2 a^{-16} -3 z^2 a^{-18} -2 z a^{-9} +14 z a^{-11} +28 z a^{-13} +15 z a^{-15} +3 z a^{-17} +3 a^{-8} -4 a^{-10} -11 a^{-12} -6 a^{-14} - a^{-16} }[/math] |
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