K12a152
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{14}-3 q^{13}+5 q^{12}-9 q^{11}+12 q^{10}-15 q^9+17 q^8-16 q^7+14 q^6-10 q^5+7 q^4-3 q^3+q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 9 t^2-28 t+39-28 t^{-1} +9 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 9 z^4+8 z^2+1 }[/math] |
| Determinant | 113 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{-4} +3 z^4 a^{-6} +3 z^4 a^{-8} +2 z^4 a^{-10} +z^2 a^{-4} +5 z^2 a^{-6} +3 z^2 a^{-8} +2 z^2 a^{-10} -3 z^2 a^{-12} +2 a^{-6} + a^{-10} -3 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-11} +z^{11} a^{-13} +4 z^{10} a^{-10} +7 z^{10} a^{-12} +3 z^{10} a^{-14} +6 z^9 a^{-9} +8 z^9 a^{-11} +5 z^9 a^{-13} +3 z^9 a^{-15} +7 z^8 a^{-8} -7 z^8 a^{-10} -27 z^8 a^{-12} -12 z^8 a^{-14} +z^8 a^{-16} +7 z^7 a^{-7} -11 z^7 a^{-9} -44 z^7 a^{-11} -42 z^7 a^{-13} -16 z^7 a^{-15} +6 z^6 a^{-6} -10 z^6 a^{-8} -z^6 a^{-10} +29 z^6 a^{-12} +9 z^6 a^{-14} -5 z^6 a^{-16} +3 z^5 a^{-5} -8 z^5 a^{-7} +6 z^5 a^{-9} +67 z^5 a^{-11} +77 z^5 a^{-13} +27 z^5 a^{-15} +z^4 a^{-4} -8 z^4 a^{-6} +4 z^4 a^{-8} +2 z^4 a^{-10} -13 z^4 a^{-12} +5 z^4 a^{-14} +7 z^4 a^{-16} -2 z^3 a^{-5} +2 z^3 a^{-7} -4 z^3 a^{-9} -45 z^3 a^{-11} -55 z^3 a^{-13} -18 z^3 a^{-15} -z^2 a^{-4} +6 z^2 a^{-6} -z^2 a^{-8} +8 z^2 a^{-12} -3 z^2 a^{-14} -3 z^2 a^{-16} +z a^{-7} +z a^{-9} +11 z a^{-11} +15 z a^{-13} +4 z a^{-15} -2 a^{-6} - a^{-10} -3 a^{-12} - a^{-14} }[/math] |
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