K13n3363
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Polynomial invariants
| Jones polynomial | Data:K13n3363/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+10 t^2-8 t+5-8 t^{-1} +10 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3363/Conway Polynomial |
| Determinant | 53 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -3 z^4 a^{-2} +8 z^4 a^{-4} -5 z^4 a^{-6} -z^2 a^{-2} +8 z^2 a^{-4} -7 z^2 a^{-6} +3 z^2 a^{-8} +4 a^{-4} -5 a^{-6} +3 a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +4 z^{10} a^{-4} +5 z^{10} a^{-6} +z^{10} a^{-8} +6 z^9 a^{-3} +3 z^9 a^{-5} -2 z^9 a^{-7} +z^9 a^{-9} +4 z^8 a^{-2} -13 z^8 a^{-4} -24 z^8 a^{-6} -5 z^8 a^{-8} +2 z^8 a^{-10} +z^7 a^{-1} -24 z^7 a^{-3} -32 z^7 a^{-5} -15 z^7 a^{-7} -7 z^7 a^{-9} +z^7 a^{-11} -15 z^6 a^{-2} -2 z^6 a^{-4} +21 z^6 a^{-6} -4 z^6 a^{-8} -12 z^6 a^{-10} -3 z^5 a^{-1} +21 z^5 a^{-3} +47 z^5 a^{-5} +34 z^5 a^{-7} +6 z^5 a^{-9} -5 z^5 a^{-11} +12 z^4 a^{-2} +20 z^4 a^{-4} +16 z^4 a^{-6} +23 z^4 a^{-8} +15 z^4 a^{-10} +z^3 a^{-1} -6 z^3 a^{-3} -20 z^3 a^{-5} -15 z^3 a^{-7} +3 z^3 a^{-9} +5 z^3 a^{-11} -3 z^2 a^{-2} -15 z^2 a^{-4} -21 z^2 a^{-6} -15 z^2 a^{-8} -6 z^2 a^{-10} +z a^{-3} +z a^{-5} -2 z a^{-9} -2 z a^{-11} +4 a^{-4} +5 a^{-6} +3 a^{-8} + a^{-10} }[/math] |
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