K12a95
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{10}+4 q^9-9 q^8+16 q^7-23 q^6+28 q^5-31 q^4+29 q^3-23 q^2+17 q-9+4 q^{-1} - q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-18 t^2+46 t-61+46 t^{-1} -18 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^6+z^2+1 }[/math] |
| Determinant | 195 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +2 z^6 a^{-4} +z^4 a^{-2} +5 z^4 a^{-4} -5 z^4 a^{-6} -z^4+z^2 a^{-2} +7 z^2 a^{-4} -10 z^2 a^{-6} +4 z^2 a^{-8} -z^2+ a^{-2} +3 a^{-4} -6 a^{-6} +4 a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +5 z^{10} a^{-4} +9 z^{10} a^{-6} +4 z^{10} a^{-8} +10 z^9 a^{-3} +21 z^9 a^{-5} +17 z^9 a^{-7} +6 z^9 a^{-9} +11 z^8 a^{-2} +13 z^8 a^{-4} +2 z^8 a^{-6} +4 z^8 a^{-8} +4 z^8 a^{-10} +8 z^7 a^{-1} -9 z^7 a^{-3} -52 z^7 a^{-5} -51 z^7 a^{-7} -15 z^7 a^{-9} +z^7 a^{-11} -15 z^6 a^{-2} -48 z^6 a^{-4} -57 z^6 a^{-6} -41 z^6 a^{-8} -13 z^6 a^{-10} +4 z^6+a z^5-10 z^5 a^{-1} +43 z^5 a^{-5} +42 z^5 a^{-7} +7 z^5 a^{-9} -3 z^5 a^{-11} +9 z^4 a^{-2} +50 z^4 a^{-4} +74 z^4 a^{-6} +52 z^4 a^{-8} +14 z^4 a^{-10} -5 z^4-a z^3+4 z^3 a^{-1} -z^3 a^{-3} -20 z^3 a^{-5} -14 z^3 a^{-7} +3 z^3 a^{-9} +3 z^3 a^{-11} -2 z^2 a^{-2} -23 z^2 a^{-4} -37 z^2 a^{-6} -24 z^2 a^{-8} -6 z^2 a^{-10} +2 z^2+3 z a^{-3} +6 z a^{-5} +3 z a^{-7} -z a^{-9} -z a^{-11} - a^{-2} +3 a^{-4} +6 a^{-6} +4 a^{-8} + a^{-10} }[/math] |
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