K13n2201
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Polynomial invariants
| Jones polynomial | Data:K13n2201/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^2+5 t-7+5 t^{-1} - t^{-2} }[/math] |
| Conway polynomial | Data:K13n2201/Conway Polynomial |
| Determinant | 19 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} +z^6-a^2 z^4-z^4 a^{-2} -4 z^4 a^{-4} +z^4 a^{-6} +4 z^4-2 a^2 z^2-2 z^2 a^{-2} -3 z^2 a^{-4} +2 z^2 a^{-6} +6 z^2-a^2- a^{-2} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +4 z^{10} a^{-4} +3 z^{10} a^{-6} +z^{10}+3 a z^9+4 z^9 a^{-1} -4 z^9 a^{-3} -2 z^9 a^{-5} +3 z^9 a^{-7} +3 a^2 z^8-12 z^8 a^{-2} -28 z^8 a^{-4} -17 z^8 a^{-6} +z^8 a^{-8} +z^8+a^3 z^7-11 a z^7-20 z^7 a^{-1} -10 z^7 a^{-3} -19 z^7 a^{-5} -17 z^7 a^{-7} -13 a^2 z^6+15 z^6 a^{-2} +50 z^6 a^{-4} +23 z^6 a^{-6} -5 z^6 a^{-8} -20 z^6-4 a^3 z^5+6 a z^5+25 z^5 a^{-1} +37 z^5 a^{-3} +48 z^5 a^{-5} +26 z^5 a^{-7} +15 a^2 z^4-3 z^4 a^{-2} -29 z^4 a^{-4} -8 z^4 a^{-6} +6 z^4 a^{-8} +27 z^4+4 a^3 z^3+2 a z^3-15 z^3 a^{-1} -31 z^3 a^{-3} -32 z^3 a^{-5} -14 z^3 a^{-7} -6 a^2 z^2-5 z^2 a^{-2} +6 z^2 a^{-4} +z^2 a^{-6} -2 z^2 a^{-8} -14 z^2-a^3 z-a z+3 z a^{-1} +8 z a^{-3} +7 z a^{-5} +2 z a^{-7} +a^2+ a^{-2} +3 }[/math] |
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