K12n247
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{11}-2 q^{10}+4 q^9-7 q^8+7 q^7-8 q^6+8 q^5-6 q^4+5 q^3-2 q^2+q }[/math] |
| Alexander polynomial | [math]\displaystyle{ -3 t^2+13 t-19+13 t^{-1} -3 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -3 z^4+z^2+1 }[/math] |
| Determinant | 51 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^4 a^{-6} -z^4 a^{-8} +z^2 a^{-2} +4 z^2 a^{-4} -4 z^2 a^{-6} -z^2 a^{-8} +z^2 a^{-10} +4 a^{-4} -3 a^{-6} - a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +3 z^9 a^{-7} +5 z^9 a^{-9} +2 z^9 a^{-11} +4 z^8 a^{-6} +2 z^8 a^{-8} -z^8 a^{-10} +z^8 a^{-12} +2 z^7 a^{-5} -9 z^7 a^{-7} -22 z^7 a^{-9} -11 z^7 a^{-11} -15 z^6 a^{-6} -21 z^6 a^{-8} -12 z^6 a^{-10} -6 z^6 a^{-12} -4 z^5 a^{-5} +3 z^5 a^{-7} +27 z^5 a^{-9} +20 z^5 a^{-11} +5 z^4 a^{-4} +19 z^4 a^{-6} +25 z^4 a^{-8} +23 z^4 a^{-10} +12 z^4 a^{-12} +2 z^3 a^{-3} +3 z^3 a^{-5} +z^3 a^{-7} -15 z^3 a^{-9} -15 z^3 a^{-11} +z^2 a^{-2} -8 z^2 a^{-4} -14 z^2 a^{-6} -6 z^2 a^{-8} -9 z^2 a^{-10} -8 z^2 a^{-12} -3 z a^{-5} +8 z a^{-9} +5 z a^{-11} +4 a^{-4} +3 a^{-6} - a^{-8} - a^{-10} }[/math] |
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