K12n863
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{12}-4 q^{11}+9 q^{10}-16 q^9+21 q^8-24 q^7+24 q^6-20 q^5+15 q^4-8 q^3+3 q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+16 t^2-33 t+41-33 t^{-1} +16 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -3 z^6-2 z^4+4 z^2+1 }[/math] |
| Determinant | 145 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-6} -z^6 a^{-8} +3 z^4 a^{-4} -5 z^4 a^{-6} -z^4 a^{-8} +z^4 a^{-10} +6 z^2 a^{-4} -3 z^2 a^{-6} +z^2 a^{-10} +2 a^{-4} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{10} a^{-8} +3 z^{10} a^{-10} +8 z^9 a^{-7} +15 z^9 a^{-9} +7 z^9 a^{-11} +8 z^8 a^{-6} +10 z^8 a^{-8} +9 z^8 a^{-10} +7 z^8 a^{-12} +3 z^7 a^{-5} -12 z^7 a^{-7} -28 z^7 a^{-9} -9 z^7 a^{-11} +4 z^7 a^{-13} -13 z^6 a^{-6} -27 z^6 a^{-8} -29 z^6 a^{-10} -14 z^6 a^{-12} +z^6 a^{-14} +3 z^5 a^{-5} +13 z^5 a^{-7} +15 z^5 a^{-9} -4 z^5 a^{-11} -9 z^5 a^{-13} +6 z^4 a^{-4} +15 z^4 a^{-6} +18 z^4 a^{-8} +18 z^4 a^{-10} +7 z^4 a^{-12} -2 z^4 a^{-14} -5 z^3 a^{-5} -9 z^3 a^{-7} -4 z^3 a^{-9} +6 z^3 a^{-11} +6 z^3 a^{-13} -8 z^2 a^{-4} -7 z^2 a^{-6} -z^2 a^{-8} -4 z^2 a^{-10} -z^2 a^{-12} +z^2 a^{-14} +3 z a^{-7} +z a^{-9} -3 z a^{-11} -z a^{-13} +2 a^{-4} - a^{-8} }[/math] |
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