K12a97
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{14}-3 q^{13}+6 q^{12}-11 q^{11}+14 q^{10}-18 q^9+20 q^8-18 q^7+16 q^6-11 q^5+7 q^4-3 q^3+q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 10 t^2-32 t+45-32 t^{-1} +10 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 10 z^4+8 z^2+1 }[/math] |
| Determinant | 129 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{-4} +3 z^4 a^{-6} +4 z^4 a^{-8} +2 z^4 a^{-10} +z^2 a^{-4} +4 z^2 a^{-6} +6 z^2 a^{-8} -3 z^2 a^{-12} + a^{-6} +3 a^{-8} -2 a^{-10} -2 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} +7 z^9 a^{-9} +10 z^9 a^{-11} +6 z^9 a^{-13} +3 z^9 a^{-15} +9 z^8 a^{-8} -20 z^8 a^{-12} -10 z^8 a^{-14} +z^8 a^{-16} +8 z^7 a^{-7} -9 z^7 a^{-9} -42 z^7 a^{-11} -40 z^7 a^{-13} -15 z^7 a^{-15} +6 z^6 a^{-6} -16 z^6 a^{-8} -23 z^6 a^{-10} +7 z^6 a^{-12} +3 z^6 a^{-14} -5 z^6 a^{-16} +3 z^5 a^{-5} -10 z^5 a^{-7} -5 z^5 a^{-9} +48 z^5 a^{-11} +65 z^5 a^{-13} +25 z^5 a^{-15} +z^4 a^{-4} -7 z^4 a^{-6} +14 z^4 a^{-8} +27 z^4 a^{-10} +9 z^4 a^{-12} +12 z^4 a^{-14} +8 z^4 a^{-16} -2 z^3 a^{-5} +5 z^3 a^{-7} +8 z^3 a^{-9} -27 z^3 a^{-11} -45 z^3 a^{-13} -17 z^3 a^{-15} -z^2 a^{-4} +5 z^2 a^{-6} -9 z^2 a^{-8} -15 z^2 a^{-10} -2 z^2 a^{-12} -6 z^2 a^{-14} -4 z^2 a^{-16} -3 z a^{-9} +7 z a^{-11} +15 z a^{-13} +5 z a^{-15} - a^{-6} +3 a^{-8} +2 a^{-10} -2 a^{-12} - a^{-14} }[/math] |
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