K12n651
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^9-5 q^8+10 q^7-15 q^6+19 q^5-20 q^4+19 q^3-15 q^2+10 q-4+ q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-11 t^2+28 t-37+28 t^{-1} -11 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+z^4+2 z^2+1 }[/math] |
| Determinant | 119 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-4} -3 z^4 a^{-2} +7 z^4 a^{-4} -3 z^4 a^{-6} -5 z^2 a^{-2} +10 z^2 a^{-4} -5 z^2 a^{-6} +z^2 a^{-8} +z^2-2 a^{-2} +4 a^{-4} -2 a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-4} +2 z^{10} a^{-6} +4 z^9 a^{-3} +11 z^9 a^{-5} +7 z^9 a^{-7} +2 z^8 a^{-2} +5 z^8 a^{-4} +12 z^8 a^{-6} +9 z^8 a^{-8} -10 z^7 a^{-3} -24 z^7 a^{-5} -9 z^7 a^{-7} +5 z^7 a^{-9} -3 z^6 a^{-2} -22 z^6 a^{-4} -41 z^6 a^{-6} -21 z^6 a^{-8} +z^6 a^{-10} +4 z^5 a^{-1} +21 z^5 a^{-3} +18 z^5 a^{-5} -9 z^5 a^{-7} -10 z^5 a^{-9} +13 z^4 a^{-2} +36 z^4 a^{-4} +35 z^4 a^{-6} +10 z^4 a^{-8} -z^4 a^{-10} +z^4-4 z^3 a^{-1} -12 z^3 a^{-3} -5 z^3 a^{-5} +6 z^3 a^{-7} +3 z^3 a^{-9} -11 z^2 a^{-2} -21 z^2 a^{-4} -13 z^2 a^{-6} -z^2 a^{-8} -2 z^2+z a^{-1} +2 z a^{-3} +z a^{-9} +2 a^{-2} +4 a^{-4} +2 a^{-6} +1 }[/math] |
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