K13n400
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Polynomial invariants
| Jones polynomial | Data:K13n400/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+5 t^2-4 t+3-4 t^{-1} +5 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n400/Conway Polynomial |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -5 z^4 a^{-2} -4 z^4 a^{-4} +2 z^4 a^{-6} +a^2 z^2-6 z^2 a^{-2} -4 z^2 a^{-4} +7 z^2 a^{-6} -z^2 a^{-8} +z^2+a^2-2 a^{-2} -2 a^{-4} +5 a^{-6} -2 a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +2 z^{10} a^{-4} +4 z^{10} a^{-6} +2 z^{10} a^{-8} +z^9 a^{-1} +2 z^9 a^{-3} -4 z^9 a^{-5} -4 z^9 a^{-7} +z^9 a^{-9} +2 z^8 a^{-2} -12 z^8 a^{-4} -27 z^8 a^{-6} -14 z^8 a^{-8} +z^8+a z^7-7 z^7 a^{-1} -13 z^7 a^{-3} -z^7 a^{-5} -3 z^7 a^{-7} -7 z^7 a^{-9} +a^2 z^6-15 z^6 a^{-2} +21 z^6 a^{-4} +62 z^6 a^{-6} +33 z^6 a^{-8} -6 z^6-5 a z^5+13 z^5 a^{-1} +22 z^5 a^{-3} +12 z^5 a^{-5} +24 z^5 a^{-7} +16 z^5 a^{-9} -5 a^2 z^4+27 z^4 a^{-2} -19 z^4 a^{-4} -65 z^4 a^{-6} -32 z^4 a^{-8} +8 z^4+4 a z^3-11 z^3 a^{-1} -16 z^3 a^{-3} -11 z^3 a^{-5} -23 z^3 a^{-7} -13 z^3 a^{-9} +5 a^2 z^2-17 z^2 a^{-2} +10 z^2 a^{-4} +32 z^2 a^{-6} +14 z^2 a^{-8} -4 z^2+4 z a^{-1} +5 z a^{-3} +3 z a^{-5} +5 z a^{-7} +3 z a^{-9} -a^2+2 a^{-2} -2 a^{-4} -5 a^{-6} -2 a^{-8} +1 }[/math] |
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