K13n3261
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Polynomial invariants
| Jones polynomial | Data:K13n3261/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-10 t^3+23 t^2-31 t+33-31 t^{-1} +23 t^{-2} -10 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3261/Conway Polynomial |
| Determinant | 165 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +4 z^6 a^{-4} +4 z^6 a^{-6} -z^6 a^{-8} -3 z^4 a^{-2} +6 z^4 a^{-4} +4 z^4 a^{-6} -4 z^4 a^{-8} -2 z^2 a^{-2} +7 z^2 a^{-4} -3 z^2 a^{-8} +z^2 a^{-10} +3 a^{-4} -2 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +5 z^{10} a^{-4} +10 z^{10} a^{-6} +5 z^{10} a^{-8} +6 z^9 a^{-3} +7 z^9 a^{-5} +5 z^9 a^{-7} +4 z^9 a^{-9} +4 z^8 a^{-2} -4 z^8 a^{-4} -19 z^8 a^{-6} -10 z^8 a^{-8} +z^8 a^{-10} +z^7 a^{-1} -14 z^7 a^{-3} -22 z^7 a^{-5} -11 z^7 a^{-7} -4 z^7 a^{-9} -13 z^6 a^{-2} -20 z^6 a^{-4} +8 z^6 a^{-6} +22 z^6 a^{-8} +7 z^6 a^{-10} -3 z^5 a^{-1} +2 z^5 a^{-3} -z^5 a^{-5} -z^5 a^{-7} +10 z^5 a^{-9} +5 z^5 a^{-11} +14 z^4 a^{-2} +24 z^4 a^{-4} -6 z^4 a^{-6} -23 z^4 a^{-8} -6 z^4 a^{-10} +z^4 a^{-12} +3 z^3 a^{-1} +9 z^3 a^{-3} +15 z^3 a^{-5} +6 z^3 a^{-7} -6 z^3 a^{-9} -3 z^3 a^{-11} -5 z^2 a^{-2} -11 z^2 a^{-4} +8 z^2 a^{-8} +2 z^2 a^{-10} -z a^{-1} -3 z a^{-3} -5 z a^{-5} -2 z a^{-7} +z a^{-9} +3 a^{-4} +2 a^{-6} }[/math] |
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