K13n3820
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Polynomial invariants
| Jones polynomial | Data:K13n3820/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-8 t^2+16 t-19+16 t^{-1} -8 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3820/Conway Polynomial |
| Determinant | 71 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} -z^8 a^{-4} +8 z^6 a^{-2} -6 z^6 a^{-4} +z^6 a^{-6} -z^6+20 z^4 a^{-2} -14 z^4 a^{-4} +3 z^4 a^{-6} -5 z^4+20 z^2 a^{-2} -14 z^2 a^{-4} +3 z^2 a^{-6} -7 z^2+7 a^{-2} -5 a^{-4} + a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +3 z^{10} a^{-2} +2 z^{10} a^{-4} +z^{10} a^{-6} +2 z^{10}+a z^9-6 z^9 a^{-1} -7 z^9 a^{-3} +4 z^9 a^{-5} +4 z^9 a^{-7} -28 z^8 a^{-2} -13 z^8 a^{-4} +6 z^8 a^{-6} +6 z^8 a^{-8} -15 z^8-7 a z^7+2 z^7 a^{-1} +8 z^7 a^{-3} -8 z^7 a^{-5} -3 z^7 a^{-7} +4 z^7 a^{-9} +76 z^6 a^{-2} +38 z^6 a^{-4} -18 z^6 a^{-6} -14 z^6 a^{-8} +z^6 a^{-10} +35 z^6+15 a z^5+24 z^5 a^{-1} +21 z^5 a^{-3} +8 z^5 a^{-5} -14 z^5 a^{-7} -10 z^5 a^{-9} -76 z^4 a^{-2} -41 z^4 a^{-4} +8 z^4 a^{-6} +5 z^4 a^{-8} -2 z^4 a^{-10} -34 z^4-12 a z^3-28 z^3 a^{-1} -28 z^3 a^{-3} -7 z^3 a^{-5} +11 z^3 a^{-7} +6 z^3 a^{-9} +35 z^2 a^{-2} +22 z^2 a^{-4} +z^2 a^{-6} +z^2 a^{-10} +15 z^2+3 a z+8 z a^{-1} +9 z a^{-3} +3 z a^{-5} -2 z a^{-7} -z a^{-9} -7 a^{-2} -5 a^{-4} - a^{-6} -2 }[/math] |
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