K12n176
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{10}+3 q^9-5 q^8+8 q^7-10 q^6+10 q^5-10 q^4+8 q^3-5 q^2+3 q }[/math] |
| Alexander polynomial | [math]\displaystyle{ -4 t^2+16 t-23+16 t^{-1} -4 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 1-4 z^4 }[/math] |
| Determinant | 63 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^4 a^{-4} -2 z^4 a^{-6} +3 z^2 a^{-2} -3 z^2 a^{-4} -3 z^2 a^{-6} +3 z^2 a^{-8} +3 a^{-2} -2 a^{-4} -2 a^{-6} +3 a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +3 z^9 a^{-5} +6 z^9 a^{-7} +3 z^9 a^{-9} +2 z^8 a^{-4} +3 z^8 a^{-6} +4 z^8 a^{-8} +3 z^8 a^{-10} -12 z^7 a^{-5} -23 z^7 a^{-7} -10 z^7 a^{-9} +z^7 a^{-11} -6 z^6 a^{-4} -23 z^6 a^{-6} -30 z^6 a^{-8} -13 z^6 a^{-10} +3 z^5 a^{-3} +22 z^5 a^{-5} +28 z^5 a^{-7} +5 z^5 a^{-9} -4 z^5 a^{-11} +9 z^4 a^{-4} +36 z^4 a^{-6} +43 z^4 a^{-8} +16 z^4 a^{-10} -3 z^3 a^{-3} -20 z^3 a^{-5} -19 z^3 a^{-7} +2 z^3 a^{-9} +4 z^3 a^{-11} +4 z^2 a^{-2} -z^2 a^{-4} -21 z^2 a^{-6} -23 z^2 a^{-8} -7 z^2 a^{-10} +3 z a^{-3} +8 z a^{-5} +6 z a^{-7} -z a^{-11} -3 a^{-2} -2 a^{-4} +2 a^{-6} +3 a^{-8} + a^{-10} }[/math] |
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