K13a368
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Polynomial invariants
| Jones polynomial | Data:K13a368/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 8 t^3-33 t^2+68 t-85+68 t^{-1} -33 t^{-2} +8 t^{-3} }[/math] |
| Conway polynomial | Data:K13a368/Conway Polynomial |
| Determinant | 303 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +3 z^6 a^{-8} +4 z^6 a^{-10} +3 z^4 a^{-6} +8 z^4 a^{-8} +12 z^4 a^{-10} -8 z^4 a^{-12} +3 z^2 a^{-6} +6 z^2 a^{-8} +13 z^2 a^{-10} -19 z^2 a^{-12} +5 z^2 a^{-14} + a^{-6} + a^{-8} +5 a^{-10} -11 a^{-12} +6 a^{-14} - a^{-16} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-12} +z^{12} a^{-14} +5 z^{11} a^{-11} +10 z^{11} a^{-13} +5 z^{11} a^{-15} +9 z^{10} a^{-10} +24 z^{10} a^{-12} +25 z^{10} a^{-14} +10 z^{10} a^{-16} +8 z^9 a^{-9} +11 z^9 a^{-11} +11 z^9 a^{-13} +18 z^9 a^{-15} +10 z^9 a^{-17} +6 z^8 a^{-8} -14 z^8 a^{-10} -67 z^8 a^{-12} -65 z^8 a^{-14} -13 z^8 a^{-16} +5 z^8 a^{-18} +3 z^7 a^{-7} -10 z^7 a^{-9} -50 z^7 a^{-11} -99 z^7 a^{-13} -89 z^7 a^{-15} -26 z^7 a^{-17} +z^7 a^{-19} +z^6 a^{-6} -11 z^6 a^{-8} +20 z^6 a^{-10} +83 z^6 a^{-12} +43 z^6 a^{-14} -21 z^6 a^{-16} -13 z^6 a^{-18} -6 z^5 a^{-7} +z^5 a^{-9} +77 z^5 a^{-11} +159 z^5 a^{-13} +111 z^5 a^{-15} +20 z^5 a^{-17} -2 z^5 a^{-19} -3 z^4 a^{-6} +8 z^4 a^{-8} -26 z^4 a^{-10} -62 z^4 a^{-12} -3 z^4 a^{-14} +32 z^4 a^{-16} +10 z^4 a^{-18} +3 z^3 a^{-7} +4 z^3 a^{-9} -55 z^3 a^{-11} -110 z^3 a^{-13} -64 z^3 a^{-15} -9 z^3 a^{-17} +z^3 a^{-19} +3 z^2 a^{-6} -4 z^2 a^{-8} +17 z^2 a^{-10} +35 z^2 a^{-12} +4 z^2 a^{-14} -10 z^2 a^{-16} -3 z^2 a^{-18} -2 z a^{-9} +15 z a^{-11} +31 z a^{-13} +17 z a^{-15} +3 z a^{-17} - a^{-6} + a^{-8} -5 a^{-10} -11 a^{-12} -6 a^{-14} - a^{-16} }[/math] |
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