K12a610
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{14}-4 q^{13}+7 q^{12}-12 q^{11}+16 q^{10}-19 q^9+21 q^8-19 q^7+16 q^6-11 q^5+7 q^4-3 q^3+q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 11 t^2-34 t+47-34 t^{-1} +11 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 11 z^4+10 z^2+1 }[/math] |
| Determinant | 137 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{-4} +3 z^4 a^{-6} +4 z^4 a^{-8} +3 z^4 a^{-10} +z^2 a^{-4} +4 z^2 a^{-6} +5 z^2 a^{-8} +4 z^2 a^{-10} -4 z^2 a^{-12} + a^{-6} + a^{-8} +2 a^{-10} -4 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-11} +2 z^{11} a^{-13} +6 z^{10} a^{-10} +11 z^{10} a^{-12} +5 z^{10} a^{-14} +8 z^9 a^{-9} +7 z^9 a^{-11} +3 z^9 a^{-13} +4 z^9 a^{-15} +9 z^8 a^{-8} -12 z^8 a^{-10} -43 z^8 a^{-12} -21 z^8 a^{-14} +z^8 a^{-16} +8 z^7 a^{-7} -14 z^7 a^{-9} -46 z^7 a^{-11} -43 z^7 a^{-13} -19 z^7 a^{-15} +6 z^6 a^{-6} -15 z^6 a^{-8} +4 z^6 a^{-10} +52 z^6 a^{-12} +23 z^6 a^{-14} -4 z^6 a^{-16} +3 z^5 a^{-5} -10 z^5 a^{-7} +4 z^5 a^{-9} +65 z^5 a^{-11} +75 z^5 a^{-13} +27 z^5 a^{-15} +z^4 a^{-4} -7 z^4 a^{-6} +10 z^4 a^{-8} -5 z^4 a^{-10} -32 z^4 a^{-12} -5 z^4 a^{-14} +4 z^4 a^{-16} -2 z^3 a^{-5} +5 z^3 a^{-7} -z^3 a^{-9} -41 z^3 a^{-11} -45 z^3 a^{-13} -12 z^3 a^{-15} -z^2 a^{-4} +5 z^2 a^{-6} -5 z^2 a^{-8} +4 z^2 a^{-10} +17 z^2 a^{-12} +z^2 a^{-14} -z^2 a^{-16} +10 z a^{-11} +10 z a^{-13} - a^{-6} + a^{-8} -2 a^{-10} -4 a^{-12} - a^{-14} }[/math] |
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