K12n383
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{10}+3 q^9-5 q^8+7 q^7-8 q^6+8 q^5-8 q^4+6 q^3-3 q^2+2 q }[/math] |
| Alexander polynomial | [math]\displaystyle{ -3 t^2+13 t-19+13 t^{-1} -3 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -3 z^4+z^2+1 }[/math] |
| Determinant | 51 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{-4} -2 z^4 a^{-6} +2 z^2 a^{-2} -4 z^2 a^{-6} +3 z^2 a^{-8} +2 a^{-2} -3 a^{-6} +3 a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +2 z^9 a^{-5} +5 z^9 a^{-7} +3 z^9 a^{-9} +z^8 a^{-4} +2 z^8 a^{-8} +3 z^8 a^{-10} -9 z^7 a^{-5} -21 z^7 a^{-7} -11 z^7 a^{-9} +z^7 a^{-11} -4 z^6 a^{-4} -14 z^6 a^{-6} -23 z^6 a^{-8} -13 z^6 a^{-10} +z^5 a^{-3} +16 z^5 a^{-5} +26 z^5 a^{-7} +7 z^5 a^{-9} -4 z^5 a^{-11} +8 z^4 a^{-4} +27 z^4 a^{-6} +34 z^4 a^{-8} +15 z^4 a^{-10} -z^3 a^{-3} -13 z^3 a^{-5} -15 z^3 a^{-7} +z^3 a^{-9} +4 z^3 a^{-11} +2 z^2 a^{-2} -4 z^2 a^{-4} -18 z^2 a^{-6} -18 z^2 a^{-8} -6 z^2 a^{-10} +2 z a^{-3} +5 z a^{-5} +4 z a^{-7} -z a^{-11} -2 a^{-2} +3 a^{-6} +3 a^{-8} + a^{-10} }[/math] |
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