K13a2399
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Polynomial invariants
| Jones polynomial | Data:K13a2399/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -8 t^3+41 t^2-90 t+115-90 t^{-1} +41 t^{-2} -8 t^{-3} }[/math] |
| Conway polynomial | Data:K13a2399/Conway Polynomial |
| Determinant | 393 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -4 z^6 a^{-6} -3 z^6 a^{-8} +z^4 a^{-2} +2 z^4 a^{-4} -8 z^4 a^{-6} -6 z^4 a^{-8} +4 z^4 a^{-10} +z^2 a^{-2} +6 z^2 a^{-4} -4 z^2 a^{-6} -7 z^2 a^{-8} +7 z^2 a^{-10} -z^2 a^{-12} +3 a^{-4} -5 a^{-8} +4 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{12} a^{-8} +3 z^{12} a^{-10} +11 z^{11} a^{-7} +21 z^{11} a^{-9} +10 z^{11} a^{-11} +17 z^{10} a^{-6} +33 z^{10} a^{-8} +30 z^{10} a^{-10} +14 z^{10} a^{-12} +16 z^9 a^{-5} +7 z^9 a^{-7} -17 z^9 a^{-9} +3 z^9 a^{-11} +11 z^9 a^{-13} +10 z^8 a^{-4} -21 z^8 a^{-6} -85 z^8 a^{-8} -84 z^8 a^{-10} -25 z^8 a^{-12} +5 z^8 a^{-14} +4 z^7 a^{-3} -28 z^7 a^{-5} -49 z^7 a^{-7} -45 z^7 a^{-9} -55 z^7 a^{-11} -26 z^7 a^{-13} +z^7 a^{-15} +z^6 a^{-2} -18 z^6 a^{-4} +77 z^6 a^{-8} +73 z^6 a^{-10} +3 z^6 a^{-12} -12 z^6 a^{-14} -6 z^5 a^{-3} +23 z^5 a^{-5} +52 z^5 a^{-7} +69 z^5 a^{-9} +68 z^5 a^{-11} +20 z^5 a^{-13} -2 z^5 a^{-15} -2 z^4 a^{-2} +17 z^4 a^{-4} +17 z^4 a^{-6} -40 z^4 a^{-8} -35 z^4 a^{-10} +12 z^4 a^{-12} +9 z^4 a^{-14} +2 z^3 a^{-3} -7 z^3 a^{-5} -22 z^3 a^{-7} -43 z^3 a^{-9} -38 z^3 a^{-11} -7 z^3 a^{-13} +z^3 a^{-15} +z^2 a^{-2} -11 z^2 a^{-4} -9 z^2 a^{-6} +17 z^2 a^{-8} +12 z^2 a^{-10} -4 z^2 a^{-12} -2 z^2 a^{-14} -z a^{-5} +5 z a^{-7} +13 z a^{-9} +9 z a^{-11} +2 z a^{-13} +3 a^{-4} -5 a^{-8} -4 a^{-10} - a^{-12} }[/math] |
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