K12n373
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{12}-4 q^{11}+7 q^{10}-10 q^9+12 q^8-13 q^7+12 q^6-9 q^5+6 q^4-2 q^3+q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+8 t^2-18 t+23-18 t^{-1} +8 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+2 z^4+5 z^2+1 }[/math] |
| Determinant | 77 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-8} +z^4 a^{-4} +3 z^4 a^{-6} -3 z^4 a^{-8} +z^4 a^{-10} +2 z^2 a^{-4} +6 z^2 a^{-6} -4 z^2 a^{-8} +z^2 a^{-10} + a^{-4} +2 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +z^9 a^{-7} +5 z^9 a^{-9} +4 z^9 a^{-11} -z^8 a^{-8} +5 z^8 a^{-10} +6 z^8 a^{-12} -2 z^7 a^{-7} -14 z^7 a^{-9} -8 z^7 a^{-11} +4 z^7 a^{-13} +4 z^6 a^{-6} +2 z^6 a^{-8} -21 z^6 a^{-10} -18 z^6 a^{-12} +z^6 a^{-14} +2 z^5 a^{-5} +9 z^5 a^{-7} +16 z^5 a^{-9} -2 z^5 a^{-11} -11 z^5 a^{-13} +z^4 a^{-4} -6 z^4 a^{-6} +21 z^4 a^{-10} +12 z^4 a^{-12} -2 z^4 a^{-14} -2 z^3 a^{-5} -9 z^3 a^{-7} -6 z^3 a^{-9} +6 z^3 a^{-11} +5 z^3 a^{-13} -2 z^2 a^{-4} +5 z^2 a^{-6} +3 z^2 a^{-8} -6 z^2 a^{-10} -2 z^2 a^{-12} +3 z a^{-7} +z a^{-9} -2 z a^{-11} + a^{-4} -2 a^{-6} -2 a^{-8} }[/math] |
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