K13n3106
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Polynomial invariants
| Jones polynomial | Data:K13n3106/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+4 t^4-7 t^3+7 t^2-2 t-1-2 t^{-1} +7 t^{-2} -7 t^{-3} +4 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n3106/Conway Polynomial |
| Determinant | 41 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-4} +z^8 a^{-2} -8 z^8 a^{-4} +z^8 a^{-6} +6 z^6 a^{-2} -23 z^6 a^{-4} +7 z^6 a^{-6} +11 z^4 a^{-2} -30 z^4 a^{-4} +15 z^4 a^{-6} -z^4 a^{-8} +8 z^2 a^{-2} -16 z^2 a^{-4} +12 z^2 a^{-6} -2 z^2 a^{-8} +2 a^{-2} -2 a^{-4} +2 a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +4 z^{10} a^{-2} +7 z^{10} a^{-4} +3 z^{10} a^{-6} +3 z^9 a^{-1} -8 z^9 a^{-3} -10 z^9 a^{-5} +z^9 a^{-7} -23 z^8 a^{-2} -44 z^8 a^{-4} -20 z^8 a^{-6} +z^8-16 z^7 a^{-1} +10 z^7 a^{-5} -6 z^7 a^{-7} +40 z^6 a^{-2} +88 z^6 a^{-4} +43 z^6 a^{-6} -5 z^6+23 z^5 a^{-1} +17 z^5 a^{-3} +2 z^5 a^{-5} +8 z^5 a^{-7} -30 z^4 a^{-2} -76 z^4 a^{-4} -43 z^4 a^{-6} -3 z^4 a^{-8} +6 z^4-10 z^3 a^{-1} -12 z^3 a^{-3} -5 z^3 a^{-5} -4 z^3 a^{-7} -z^3 a^{-9} +12 z^2 a^{-2} +27 z^2 a^{-4} +18 z^2 a^{-6} +4 z^2 a^{-8} -z^2+z a^{-1} +2 z a^{-3} +z a^{-9} -2 a^{-2} -2 a^{-4} -2 a^{-6} - a^{-8} }[/math] |
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