K13n418
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Polynomial invariants
| Jones polynomial | Data:K13n418/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-15 t^2+41 t-55+41 t^{-1} -15 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n418/Conway Polynomial |
| Determinant | 171 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} -z^4 a^{-2} +z^4 a^{-4} -z^4 a^{-6} -2 z^4+a^2 z^2-5 z^2 a^{-2} +3 z^2 a^{-4} +z^2 a^{-6} -z^2+a^2-4 a^{-2} +3 a^{-4} + a^{-6} - a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +4 z^{10} a^{-2} +7 z^{10} a^{-4} +3 z^{10} a^{-6} +7 z^9 a^{-1} +14 z^9 a^{-3} +10 z^9 a^{-5} +3 z^9 a^{-7} +7 z^8 a^{-2} +z^8 a^{-4} +z^8 a^{-6} +z^8 a^{-8} +6 z^8+3 a z^7-11 z^7 a^{-1} -34 z^7 a^{-3} -22 z^7 a^{-5} -2 z^7 a^{-7} +a^2 z^6-35 z^6 a^{-2} -32 z^6 a^{-4} -6 z^6 a^{-6} +4 z^6 a^{-8} -12 z^6-6 a z^5+7 z^5 a^{-1} +33 z^5 a^{-3} +20 z^5 a^{-5} +3 z^5 a^{-7} +3 z^5 a^{-9} -3 a^2 z^4+44 z^4 a^{-2} +48 z^4 a^{-4} +6 z^4 a^{-6} -10 z^4 a^{-8} +9 z^4+3 a z^3-10 z^3 a^{-1} -21 z^3 a^{-3} -9 z^3 a^{-5} -7 z^3 a^{-7} -6 z^3 a^{-9} +3 a^2 z^2-27 z^2 a^{-2} -25 z^2 a^{-4} -z^2 a^{-6} +5 z^2 a^{-8} -5 z^2+5 z a^{-1} +8 z a^{-3} +4 z a^{-5} +3 z a^{-7} +2 z a^{-9} -a^2+4 a^{-2} +3 a^{-4} - a^{-6} - a^{-8} +1 }[/math] |
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