K13n3894
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Polynomial invariants
| Jones polynomial | Data:K13n3894/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t+9-4 t^{-1} }[/math] |
| Conway polynomial | Data:K13n3894/Conway Polynomial |
| Determinant | 17 |
| 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} +5 z^4+a^4 z^2-6 a^2 z^2-9 z^2 a^{-2} +5 z^2 a^{-4} -z^2 a^{-6} +6 z^2+2 a^4-3 a^2-4 a^{-2} +4 a^{-4} - a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+2 z^{10} a^{-2} +z^{10} a^{-4} +3 z^{10}+2 a^3 z^9-4 a z^9-5 z^9 a^{-1} +4 z^9 a^{-3} +3 z^9 a^{-5} +a^4 z^8-10 a^2 z^8-11 z^8 a^{-2} +z^8 a^{-4} +3 z^8 a^{-6} -20 z^8-11 a^3 z^7-3 a z^7-20 z^7 a^{-3} -11 z^7 a^{-5} +z^7 a^{-7} -6 a^4 z^6+8 a^2 z^6+8 z^6 a^{-2} -22 z^6 a^{-4} -13 z^6 a^{-6} +31 z^6+16 a^3 z^5+10 a z^5+5 z^5 a^{-1} +20 z^5 a^{-3} +5 z^5 a^{-5} -4 z^5 a^{-7} +11 a^4 z^4+7 a^2 z^4+9 z^4 a^{-2} +32 z^4 a^{-4} +15 z^4 a^{-6} -12 z^4-8 a^3 z^3+a z^3+8 z^3 a^{-1} -2 z^3 a^{-3} +3 z^3 a^{-5} +4 z^3 a^{-7} -8 a^4 z^2-10 a^2 z^2-11 z^2 a^{-2} -18 z^2 a^{-4} -7 z^2 a^{-6} -2 z^2+a^3 z-4 a z-7 z a^{-1} -3 z a^{-3} -2 z a^{-5} -z a^{-7} +2 a^4+3 a^2+4 a^{-2} +4 a^{-4} + a^{-6} +3 }[/math] |
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