K12a802
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{11}-2 q^{10}+3 q^9-4 q^8+5 q^7-6 q^6+6 q^5-6 q^4+5 q^3-4 q^2+3 q-1+ q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -4 t^2+12 t-15+12 t^{-1} -4 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -4 z^4-4 z^2+1 }[/math] |
| Determinant | 47 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{-2} -z^4 a^{-4} -z^4 a^{-6} -z^4 a^{-8} -2 z^2 a^{-2} -z^2 a^{-4} -z^2 a^{-6} -2 z^2 a^{-8} +z^2 a^{-10} +z^2- a^{-2} - a^{-8} + a^{-10} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +3 z^{10} a^{-8} +2 z^{10} a^{-10} +z^9 a^{-5} -6 z^9 a^{-7} -5 z^9 a^{-9} +2 z^9 a^{-11} +z^8 a^{-4} -4 z^8 a^{-6} -18 z^8 a^{-8} -12 z^8 a^{-10} +z^8 a^{-12} +z^7 a^{-3} -3 z^7 a^{-5} +16 z^7 a^{-7} +8 z^7 a^{-9} -12 z^7 a^{-11} +z^6 a^{-2} -2 z^6 a^{-4} +6 z^6 a^{-6} +38 z^6 a^{-8} +23 z^6 a^{-10} -6 z^6 a^{-12} +z^5 a^{-1} -z^5 a^{-3} +4 z^5 a^{-5} -24 z^5 a^{-7} -9 z^5 a^{-9} +21 z^5 a^{-11} +3 z^4 a^{-4} -4 z^4 a^{-6} -37 z^4 a^{-8} -19 z^4 a^{-10} +10 z^4 a^{-12} +z^4-z^3 a^{-1} +2 z^3 a^{-3} -z^3 a^{-5} +15 z^3 a^{-7} +8 z^3 a^{-9} -11 z^3 a^{-11} -2 z^2 a^{-2} +13 z^2 a^{-8} +8 z^2 a^{-10} -4 z^2 a^{-12} -3 z^2-z a^{-1} -z a^{-3} -4 z a^{-7} -3 z a^{-9} +z a^{-11} + a^{-2} - a^{-8} - a^{-10} +2 }[/math] |
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