K12n381
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{10}+3 q^9-6 q^8+8 q^7-9 q^6+10 q^5-9 q^4+7 q^3-4 q^2+2 q }[/math] |
| Alexander polynomial | [math]\displaystyle{ -3 t^2+15 t-23+15 t^{-1} -3 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -3 z^4+3 z^2+1 }[/math] |
| Determinant | 59 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{-4} -2 z^4 a^{-6} +2 z^2 a^{-2} +z^2 a^{-4} -3 z^2 a^{-6} +3 z^2 a^{-8} + a^{-2} + a^{-4} -2 a^{-6} +2 a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +2 z^9 a^{-5} +5 z^9 a^{-7} +3 z^9 a^{-9} +z^8 a^{-4} +z^8 a^{-6} +3 z^8 a^{-8} +3 z^8 a^{-10} -7 z^7 a^{-5} -17 z^7 a^{-7} -9 z^7 a^{-9} +z^7 a^{-11} -3 z^6 a^{-4} -14 z^6 a^{-6} -23 z^6 a^{-8} -12 z^6 a^{-10} +z^5 a^{-3} +10 z^5 a^{-5} +14 z^5 a^{-7} +z^5 a^{-9} -4 z^5 a^{-11} +7 z^4 a^{-4} +21 z^4 a^{-6} +27 z^4 a^{-8} +13 z^4 a^{-10} +z^3 a^{-3} -5 z^3 a^{-5} -5 z^3 a^{-7} +6 z^3 a^{-9} +5 z^3 a^{-11} +2 z^2 a^{-2} -4 z^2 a^{-4} -12 z^2 a^{-6} -11 z^2 a^{-8} -5 z^2 a^{-10} +z a^{-7} -z a^{-9} -2 z a^{-11} - a^{-2} + a^{-4} +2 a^{-6} +2 a^{-8} + a^{-10} }[/math] |
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