K12a330
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{11}-3 q^{10}+5 q^9-8 q^8+11 q^7-13 q^6+14 q^5-13 q^4+11 q^3-8 q^2+5 q-2+ q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -6 t^2+24 t-35+24 t^{-1} -6 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 1-6 z^4 }[/math] |
| Determinant | 95 |
| 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^{-4} -z^2 a^{-6} +z^2 a^{-10} +z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +5 z^{10} a^{-8} +3 z^{10} a^{-10} +3 z^9 a^{-5} +z^9 a^{-7} +z^9 a^{-9} +3 z^9 a^{-11} +4 z^8 a^{-4} -19 z^8 a^{-8} -14 z^8 a^{-10} +z^8 a^{-12} +4 z^7 a^{-3} -z^7 a^{-5} -7 z^7 a^{-7} -18 z^7 a^{-9} -16 z^7 a^{-11} +3 z^6 a^{-2} -5 z^6 a^{-4} -10 z^6 a^{-6} +22 z^6 a^{-8} +19 z^6 a^{-10} -5 z^6 a^{-12} +2 z^5 a^{-1} -5 z^5 a^{-3} -11 z^5 a^{-5} -2 z^5 a^{-7} +28 z^5 a^{-9} +26 z^5 a^{-11} -2 z^4 a^{-2} +2 z^4 a^{-4} +7 z^4 a^{-6} -13 z^4 a^{-8} -8 z^4 a^{-10} +7 z^4 a^{-12} +z^4-2 z^3 a^{-1} +5 z^3 a^{-3} +14 z^3 a^{-5} +7 z^3 a^{-7} -13 z^3 a^{-9} -13 z^3 a^{-11} +z^2 a^{-4} -z^2 a^{-6} +3 z^2 a^{-8} +z^2 a^{-10} -2 z^2 a^{-12} -2 z^2-2 z a^{-3} -5 z a^{-5} -3 z a^{-7} +z a^{-9} +z a^{-11} +1 }[/math] |
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