K13a1119
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Polynomial invariants
| Jones polynomial | Data:K13a1119/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^4+18 t^3-47 t^2+79 t-93+79 t^{-1} -47 t^{-2} +18 t^{-3} -3 t^{-4} }[/math] |
| Conway polynomial | Data:K13a1119/Conway Polynomial |
| Determinant | 387 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -2 z^8 a^{-8} +z^6 a^{-4} -2 z^6 a^{-6} -8 z^6 a^{-8} +3 z^6 a^{-10} +3 z^4 a^{-4} +2 z^4 a^{-6} -12 z^4 a^{-8} +9 z^4 a^{-10} -z^4 a^{-12} +3 z^2 a^{-4} +6 z^2 a^{-6} -10 z^2 a^{-8} +8 z^2 a^{-10} -2 z^2 a^{-12} + a^{-4} +3 a^{-6} -5 a^{-8} +3 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{12} a^{-8} +3 z^{12} a^{-10} +8 z^{11} a^{-7} +22 z^{11} a^{-9} +14 z^{11} a^{-11} +8 z^{10} a^{-6} +23 z^{10} a^{-8} +43 z^{10} a^{-10} +28 z^{10} a^{-12} +4 z^9 a^{-5} -11 z^9 a^{-7} -30 z^9 a^{-9} +18 z^9 a^{-11} +33 z^9 a^{-13} +z^8 a^{-4} -25 z^8 a^{-6} -96 z^8 a^{-8} -130 z^8 a^{-10} -34 z^8 a^{-12} +26 z^8 a^{-14} -14 z^7 a^{-5} -24 z^7 a^{-7} -53 z^7 a^{-9} -110 z^7 a^{-11} -53 z^7 a^{-13} +14 z^7 a^{-15} -4 z^6 a^{-4} +26 z^6 a^{-6} +113 z^6 a^{-8} +110 z^6 a^{-10} -13 z^6 a^{-12} -35 z^6 a^{-14} +5 z^6 a^{-16} +17 z^5 a^{-5} +51 z^5 a^{-7} +100 z^5 a^{-9} +106 z^5 a^{-11} +28 z^5 a^{-13} -11 z^5 a^{-15} +z^5 a^{-17} +6 z^4 a^{-4} -13 z^4 a^{-6} -60 z^4 a^{-8} -41 z^4 a^{-10} +20 z^4 a^{-12} +19 z^4 a^{-14} -z^4 a^{-16} -8 z^3 a^{-5} -32 z^3 a^{-7} -52 z^3 a^{-9} -39 z^3 a^{-11} -7 z^3 a^{-13} +4 z^3 a^{-15} -4 z^2 a^{-4} +7 z^2 a^{-6} +21 z^2 a^{-8} +12 z^2 a^{-10} -3 z^2 a^{-12} -5 z^2 a^{-14} +z a^{-5} +8 z a^{-7} +11 z a^{-9} +6 z a^{-11} +z a^{-13} -z a^{-15} + a^{-4} -3 a^{-6} -5 a^{-8} -3 a^{-10} - a^{-12} }[/math] |
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