K12n729
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^{10}-6 q^9+9 q^8-12 q^7+13 q^6-12 q^5+10 q^4-6 q^3+3 q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+9 t^2-16 t+19-16 t^{-1} +9 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-3 z^4+2 z^2+1 }[/math] |
| Determinant | 73 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-6} +3 z^4 a^{-4} -8 z^4 a^{-6} +2 z^4 a^{-8} +8 z^2 a^{-4} -10 z^2 a^{-6} +4 z^2 a^{-8} +4 a^{-4} -4 a^{-6} + a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^9 a^{-7} +2 z^9 a^{-9} +5 z^8 a^{-6} +8 z^8 a^{-8} +3 z^8 a^{-10} +3 z^7 a^{-5} +2 z^7 a^{-7} +z^7 a^{-11} -13 z^6 a^{-6} -16 z^6 a^{-8} -3 z^6 a^{-10} -3 z^5 a^{-5} -6 z^5 a^{-7} +2 z^5 a^{-9} +5 z^5 a^{-11} +6 z^4 a^{-4} +21 z^4 a^{-6} +15 z^4 a^{-8} +3 z^4 a^{-10} +3 z^4 a^{-12} +z^3 a^{-5} +3 z^3 a^{-7} -7 z^3 a^{-9} -9 z^3 a^{-11} -11 z^2 a^{-4} -17 z^2 a^{-6} -6 z^2 a^{-8} -3 z^2 a^{-10} -3 z^2 a^{-12} -2 z a^{-5} +4 z a^{-9} +2 z a^{-11} +4 a^{-4} +4 a^{-6} + a^{-8} }[/math] |
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