K12n201
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^{10}-6 q^9+10 q^8-15 q^7+17 q^6-17 q^5+16 q^4-11 q^3+7 q^2-3 q+1 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+13 t^2-23 t+27-23 t^{-1} +13 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -3 z^6-5 z^4+2 z^2+1 }[/math] |
| Determinant | 105 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -2 z^6 a^{-6} +z^4 a^{-2} -z^4 a^{-4} -7 z^4 a^{-6} +2 z^4 a^{-8} +2 z^2 a^{-2} +4 z^2 a^{-4} -8 z^2 a^{-6} +4 z^2 a^{-8} +4 a^{-4} -4 a^{-6} + a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-6} +2 z^{10} a^{-8} +5 z^9 a^{-5} +10 z^9 a^{-7} +5 z^9 a^{-9} +5 z^8 a^{-4} +5 z^8 a^{-6} +4 z^8 a^{-8} +4 z^8 a^{-10} +3 z^7 a^{-3} -12 z^7 a^{-5} -29 z^7 a^{-7} -13 z^7 a^{-9} +z^7 a^{-11} +z^6 a^{-2} -14 z^6 a^{-4} -30 z^6 a^{-6} -22 z^6 a^{-8} -7 z^6 a^{-10} -8 z^5 a^{-3} +9 z^5 a^{-5} +34 z^5 a^{-7} +22 z^5 a^{-9} +5 z^5 a^{-11} -3 z^4 a^{-2} +14 z^4 a^{-4} +45 z^4 a^{-6} +35 z^4 a^{-8} +10 z^4 a^{-10} +3 z^4 a^{-12} +4 z^3 a^{-3} -4 z^3 a^{-5} -15 z^3 a^{-7} -17 z^3 a^{-9} -10 z^3 a^{-11} +2 z^2 a^{-2} -12 z^2 a^{-4} -27 z^2 a^{-6} -16 z^2 a^{-8} -7 z^2 a^{-10} -4 z^2 a^{-12} -z a^{-5} +3 z a^{-7} +7 z a^{-9} +3 z a^{-11} +4 a^{-4} +4 a^{-6} + a^{-8} }[/math] |
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