K12a255
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{11}-3 q^{10}+5 q^9-9 q^8+12 q^7-14 q^6+16 q^5-15 q^4+13 q^3-9 q^2+6 q-3+ q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -6 t^2+27 t-41+27 t^{-1} -6 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -6 z^4+3 z^2+1 }[/math] |
| Determinant | 107 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{-2} -2 z^4 a^{-4} -2 z^4 a^{-6} -z^4 a^{-8} +z^2 a^{-2} +z^2 a^{-10} +z^2+ a^{-2} + a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +6 z^{10} a^{-8} +3 z^{10} a^{-10} +5 z^9 a^{-5} +5 z^9 a^{-7} +3 z^9 a^{-9} +3 z^9 a^{-11} +6 z^8 a^{-4} -2 z^8 a^{-6} -22 z^8 a^{-8} -13 z^8 a^{-10} +z^8 a^{-12} +6 z^7 a^{-3} -8 z^7 a^{-5} -27 z^7 a^{-7} -29 z^7 a^{-9} -16 z^7 a^{-11} +5 z^6 a^{-2} -9 z^6 a^{-4} -12 z^6 a^{-6} +22 z^6 a^{-8} +15 z^6 a^{-10} -5 z^6 a^{-12} +3 z^5 a^{-1} -8 z^5 a^{-3} +34 z^5 a^{-7} +50 z^5 a^{-9} +27 z^5 a^{-11} -6 z^4 a^{-2} +4 z^4 a^{-4} +13 z^4 a^{-6} -9 z^4 a^{-8} -4 z^4 a^{-10} +7 z^4 a^{-12} +z^4-3 z^3 a^{-1} +5 z^3 a^{-3} +4 z^3 a^{-5} -21 z^3 a^{-7} -33 z^3 a^{-9} -16 z^3 a^{-11} +3 z^2 a^{-2} -3 z^2 a^{-6} +3 z^2 a^{-8} -2 z^2 a^{-12} -z^2-z a^{-3} -z a^{-5} +6 z a^{-7} +8 z a^{-9} +2 z a^{-11} - a^{-2} - a^{-6} - a^{-8} }[/math] |
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