K12n738
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{12}-4 q^{11}+9 q^{10}-15 q^9+19 q^8-22 q^7+21 q^6-17 q^5+13 q^4-6 q^3+2 q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+13 t^2-30 t+39-30 t^{-1} +13 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6+z^4+4 z^2+1 }[/math] |
| Determinant | 129 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-4} -2 z^4 a^{-8} +z^4 a^{-10} +3 z^2 a^{-4} +4 z^2 a^{-6} -4 z^2 a^{-8} +z^2 a^{-10} + a^{-4} +3 a^{-6} -4 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-8} +2 z^{10} a^{-10} +4 z^9 a^{-7} +10 z^9 a^{-9} +6 z^9 a^{-11} +3 z^8 a^{-6} +6 z^8 a^{-8} +10 z^8 a^{-10} +7 z^8 a^{-12} +z^7 a^{-5} -11 z^7 a^{-9} -6 z^7 a^{-11} +4 z^7 a^{-13} +4 z^6 a^{-6} -4 z^6 a^{-8} -24 z^6 a^{-10} -15 z^6 a^{-12} +z^6 a^{-14} +5 z^5 a^{-5} +2 z^5 a^{-7} -2 z^5 a^{-9} -8 z^5 a^{-11} -9 z^5 a^{-13} +3 z^4 a^{-4} -7 z^4 a^{-6} -13 z^4 a^{-8} +7 z^4 a^{-10} +8 z^4 a^{-12} -2 z^4 a^{-14} -3 z^3 a^{-5} -8 z^3 a^{-7} -4 z^3 a^{-9} +7 z^3 a^{-11} +6 z^3 a^{-13} -3 z^2 a^{-4} +6 z^2 a^{-6} +12 z^2 a^{-8} +2 z^2 a^{-10} +z^2 a^{-14} +5 z a^{-7} +5 z a^{-9} -z a^{-11} -z a^{-13} + a^{-4} -3 a^{-6} -4 a^{-8} - a^{-10} }[/math] |
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