K12n208
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -2+6 q^{-1} -10 q^{-2} +15 q^{-3} -16 q^{-4} +17 q^{-5} -15 q^{-6} +11 q^{-7} -7 q^{-8} +3 q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-11 t^2+23 t-29+23 t^{-1} -11 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^6+7 z^4+6 z^2+1 }[/math] |
| Determinant | 103 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-2 z^2 a^8-a^8+z^6 a^6+2 z^4 a^6-2 a^6+2 z^6 a^4+8 z^4 a^4+12 z^2 a^4+6 a^4-2 z^4 a^2-4 z^2 a^2-2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+5 z^3 a^{11}-2 z a^{11}+3 z^8 a^{10}-11 z^6 a^{10}+12 z^4 a^{10}-4 z^2 a^{10}+4 z^9 a^9-12 z^7 a^9+8 z^5 a^9-z^3 a^9+z a^9+2 z^{10} a^8+2 z^8 a^8-21 z^6 a^8+19 z^4 a^8-3 z^2 a^8-a^8+10 z^9 a^7-28 z^7 a^7+20 z^5 a^7-7 z^3 a^7+z a^7+2 z^{10} a^6+7 z^8 a^6-31 z^6 a^6+29 z^4 a^6-12 z^2 a^6+2 a^6+6 z^9 a^5-10 z^7 a^5+z^5 a^5+7 z^3 a^5-5 z a^5+8 z^8 a^4-20 z^6 a^4+28 z^4 a^4-19 z^2 a^4+6 a^4+5 z^7 a^3-7 z^5 a^3+11 z^3 a^3-5 z a^3+z^6 a^2+6 z^4 a^2-6 z^2 a^2+2 a^2+3 z^3 a-2 z a }[/math] |
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