K12n29
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^9-4 q^8+9 q^7-14 q^6+18 q^5-20 q^4+19 q^3-16 q^2+11 q-5+2 q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-12 t^2+28 t-35+28 t^{-1} -12 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6-2 z^2+1 }[/math] |
| Determinant | 119 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-4} -4 z^4 a^{-2} +7 z^4 a^{-4} -3 z^4 a^{-6} -9 z^2 a^{-2} +10 z^2 a^{-4} -6 z^2 a^{-6} +z^2 a^{-8} +2 z^2-5 a^{-2} +5 a^{-4} -3 a^{-6} + a^{-8} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-4} +2 z^{10} a^{-6} +5 z^9 a^{-3} +11 z^9 a^{-5} +6 z^9 a^{-7} +4 z^8 a^{-2} +7 z^8 a^{-4} +10 z^8 a^{-6} +7 z^8 a^{-8} +z^7 a^{-1} -11 z^7 a^{-3} -24 z^7 a^{-5} -8 z^7 a^{-7} +4 z^7 a^{-9} -9 z^6 a^{-2} -28 z^6 a^{-4} -36 z^6 a^{-6} -16 z^6 a^{-8} +z^6 a^{-10} +3 z^5 a^{-1} +17 z^5 a^{-3} +17 z^5 a^{-5} -6 z^5 a^{-7} -9 z^5 a^{-9} +21 z^4 a^{-2} +41 z^4 a^{-4} +34 z^4 a^{-6} +9 z^4 a^{-8} -2 z^4 a^{-10} +3 z^4-4 z^3 a^{-1} -6 z^3 a^{-3} -2 z^3 a^{-5} +5 z^3 a^{-7} +5 z^3 a^{-9} -19 z^2 a^{-2} -23 z^2 a^{-4} -15 z^2 a^{-6} -4 z^2 a^{-8} +z^2 a^{-10} -6 z^2-z a^{-3} -z a^{-5} -z a^{-7} -z a^{-9} +5 a^{-2} +5 a^{-4} +3 a^{-6} + a^{-8} +3 }[/math] |
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