K13n2208
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Polynomial invariants
| Jones polynomial | Data:K13n2208/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+15 t^2-45 t+65-45 t^{-1} +15 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2208/Conway Polynomial |
| Determinant | 189 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6-z^6+a^4 z^4-2 a^2 z^4+3 z^4 a^{-2} +z^4+a^4 z^2-6 a^2 z^2+2 z^2 a^{-2} -2 z^2 a^{-4} +2 z^2+2 a^4-3 a^2+ a^{-2} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +7 a^2 z^{10}+5 z^{10} a^{-2} +12 z^{10}+11 a^3 z^9+15 a z^9+8 z^9 a^{-1} +4 z^9 a^{-3} +9 a^4 z^8-4 a^2 z^8-10 z^8 a^{-2} +z^8 a^{-4} -24 z^8+4 a^5 z^7-27 a^3 z^7-50 a z^7-24 z^7 a^{-1} -5 z^7 a^{-3} +a^6 z^6-23 a^4 z^6-22 a^2 z^6+25 z^6 a^{-2} +6 z^6 a^{-4} +21 z^6-8 a^5 z^5+25 a^3 z^5+60 a z^5+32 z^5 a^{-1} +8 z^5 a^{-3} +3 z^5 a^{-5} -2 a^6 z^4+20 a^4 z^4+35 a^2 z^4-35 z^4 a^{-2} -15 z^4 a^{-4} -7 z^4+2 a^5 z^3-12 a^3 z^3-29 a z^3-20 z^3 a^{-1} -10 z^3 a^{-3} -5 z^3 a^{-5} -9 a^4 z^2-17 a^2 z^2+17 z^2 a^{-2} +9 z^2 a^{-4} +3 a^3 z+3 a z+z a^{-1} +2 z a^{-3} +z a^{-5} +2 a^4+3 a^2- a^{-2} +1 }[/math] |
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