K13n3866
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Polynomial invariants
| Jones polynomial | Data:K13n3866/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-8 t^3+19 t^2-29 t+33-29 t^{-1} +19 t^{-2} -8 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3866/Conway Polynomial |
| Determinant | 149 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^8 a^{-6} -2 z^6 a^{-4} +13 z^6 a^{-6} -3 z^6 a^{-8} -8 z^4 a^{-4} +32 z^4 a^{-6} -14 z^4 a^{-8} +z^4 a^{-10} -9 z^2 a^{-4} +34 z^2 a^{-6} -21 z^2 a^{-8} +3 z^2 a^{-10} -3 a^{-4} +12 a^{-6} -10 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +6 z^{10} a^{-6} +11 z^{10} a^{-8} +5 z^{10} a^{-10} +5 z^9 a^{-5} +4 z^9 a^{-7} +5 z^9 a^{-9} +6 z^9 a^{-11} +z^8 a^{-4} -26 z^8 a^{-6} -42 z^8 a^{-8} -9 z^8 a^{-10} +6 z^8 a^{-12} -19 z^7 a^{-5} -36 z^7 a^{-7} -30 z^7 a^{-9} -9 z^7 a^{-11} +4 z^7 a^{-13} +4 z^6 a^{-4} +58 z^6 a^{-6} +76 z^6 a^{-8} +9 z^6 a^{-10} -12 z^6 a^{-12} +z^6 a^{-14} +3 z^5 a^{-3} +36 z^5 a^{-5} +81 z^5 a^{-7} +56 z^5 a^{-9} -2 z^5 a^{-11} -10 z^5 a^{-13} -17 z^4 a^{-4} -67 z^4 a^{-6} -66 z^4 a^{-8} -12 z^4 a^{-10} +2 z^4 a^{-12} -2 z^4 a^{-14} -8 z^3 a^{-3} -35 z^3 a^{-5} -65 z^3 a^{-7} -43 z^3 a^{-9} +z^3 a^{-11} +6 z^3 a^{-13} +12 z^2 a^{-4} +44 z^2 a^{-6} +37 z^2 a^{-8} +6 z^2 a^{-10} +2 z^2 a^{-12} +z^2 a^{-14} +3 z a^{-3} +11 z a^{-5} +20 z a^{-7} +12 z a^{-9} -3 a^{-4} -12 a^{-6} -10 a^{-8} -2 a^{-10} }[/math] |
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