K12n77
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{13}-3 q^{12}+4 q^{11}-6 q^{10}+7 q^9-7 q^8+6 q^7-4 q^6+3 q^5-q^4+q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-7 t^2+8 t-7+8 t^{-1} -7 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^6+11 z^4+7 z^2+1 }[/math] |
| Determinant | 43 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +z^6 a^{-8} +z^6 a^{-10} +5 z^4 a^{-6} +3 z^4 a^{-8} +4 z^4 a^{-10} -z^4 a^{-12} +7 z^2 a^{-6} +4 z^2 a^{-10} -4 z^2 a^{-12} +3 a^{-6} -2 a^{-8} +2 a^{-10} -3 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-10} +z^{10} a^{-12} +z^9 a^{-9} +3 z^9 a^{-11} +2 z^9 a^{-13} +z^8 a^{-8} -5 z^8 a^{-10} -5 z^8 a^{-12} +z^8 a^{-14} +z^7 a^{-7} -3 z^7 a^{-9} -16 z^7 a^{-11} -12 z^7 a^{-13} +z^6 a^{-6} -2 z^6 a^{-8} +12 z^6 a^{-10} +12 z^6 a^{-12} -3 z^6 a^{-14} -3 z^5 a^{-7} +3 z^5 a^{-9} +34 z^5 a^{-11} +31 z^5 a^{-13} +3 z^5 a^{-15} -5 z^4 a^{-6} -3 z^4 a^{-8} -14 z^4 a^{-10} -12 z^4 a^{-12} +5 z^4 a^{-14} +z^4 a^{-16} -3 z^3 a^{-9} -26 z^3 a^{-11} -30 z^3 a^{-13} -7 z^3 a^{-15} +7 z^2 a^{-6} +5 z^2 a^{-8} +8 z^2 a^{-10} +10 z^2 a^{-12} -2 z^2 a^{-14} -2 z^2 a^{-16} +2 z a^{-7} +z a^{-9} +6 z a^{-11} +10 z a^{-13} +3 z a^{-15} -3 a^{-6} -2 a^{-8} -2 a^{-10} -3 a^{-12} - a^{-14} }[/math] |
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