K13n164
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Polynomial invariants
| Jones polynomial | Data:K13n164/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^2-6 t+11-6 t^{-1} + t^{-2} }[/math] |
| Conway polynomial | Data:K13n164/Conway Polynomial |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} +z^6-2 a^2 z^4-5 z^4 a^{-2} +2 z^4 a^{-4} +6 z^4+a^4 z^2-7 a^2 z^2-10 z^2 a^{-2} +5 z^2 a^{-4} -z^2 a^{-6} +10 z^2+2 a^4-5 a^2-6 a^{-2} +4 a^{-4} - a^{-6} +7 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10} a^{-2} +z^{10} a^{-4} +z^{10}+2 a^3 z^9+4 a z^9+4 z^9 a^{-1} +5 z^9 a^{-3} +3 z^9 a^{-5} +a^4 z^8-3 a^2 z^8-z^8 a^{-2} +2 z^8 a^{-4} +3 z^8 a^{-6} -4 z^8-12 a^3 z^7-28 a z^7-29 z^7 a^{-1} -25 z^7 a^{-3} -11 z^7 a^{-5} +z^7 a^{-7} -6 a^4 z^6-10 a^2 z^6-22 z^6 a^{-2} -26 z^6 a^{-4} -13 z^6 a^{-6} -13 z^6+21 a^3 z^5+52 a z^5+53 z^5 a^{-1} +32 z^5 a^{-3} +6 z^5 a^{-5} -4 z^5 a^{-7} +11 a^4 z^4+30 a^2 z^4+47 z^4 a^{-2} +38 z^4 a^{-4} +15 z^4 a^{-6} +43 z^4-15 a^3 z^3-35 a z^3-33 z^3 a^{-1} -16 z^3 a^{-3} +z^3 a^{-5} +4 z^3 a^{-7} -8 a^4 z^2-23 a^2 z^2-30 z^2 a^{-2} -21 z^2 a^{-4} -7 z^2 a^{-6} -31 z^2+4 a^3 z+8 a z+7 z a^{-1} +3 z a^{-3} -z a^{-5} -z a^{-7} +2 a^4+5 a^2+6 a^{-2} +4 a^{-4} + a^{-6} +7 }[/math] |
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