K13n2427
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Polynomial invariants
| Jones polynomial | Data:K13n2427/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-13 t^2+34 t-45+34 t^{-1} -13 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2427/Conway Polynomial |
| Determinant | 143 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +2 z^4 a^{-2} -2 z^4 a^{-6} -z^4+4 z^2 a^{-2} -3 z^2 a^{-4} -z^2 a^{-6} +z^2 a^{-8} -z^2+3 a^{-2} -3 a^{-4} + a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +7 z^{10} a^{-4} +5 z^{10} a^{-6} +z^9 a^{-1} +4 z^9 a^{-3} +12 z^9 a^{-5} +9 z^9 a^{-7} -5 z^8 a^{-2} -17 z^8 a^{-4} -4 z^8 a^{-6} +8 z^8 a^{-8} -16 z^7 a^{-3} -44 z^7 a^{-5} -24 z^7 a^{-7} +4 z^7 a^{-9} +18 z^6 a^{-2} +22 z^6 a^{-4} -14 z^6 a^{-6} -21 z^6 a^{-8} +z^6 a^{-10} +4 z^6+a z^5+5 z^5 a^{-1} +35 z^5 a^{-3} +62 z^5 a^{-5} +22 z^5 a^{-7} -9 z^5 a^{-9} -24 z^4 a^{-2} -13 z^4 a^{-4} +20 z^4 a^{-6} +15 z^4 a^{-8} -2 z^4 a^{-10} -8 z^4-2 a z^3-11 z^3 a^{-1} -30 z^3 a^{-3} -36 z^3 a^{-5} -12 z^3 a^{-7} +3 z^3 a^{-9} +12 z^2 a^{-2} +8 z^2 a^{-4} -5 z^2 a^{-6} -5 z^2 a^{-8} +4 z^2+a z+4 z a^{-1} +8 z a^{-3} +8 z a^{-5} +3 z a^{-7} -3 a^{-2} -3 a^{-4} - a^{-6} }[/math] |
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