K12n236
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -1+3 q^{-1} -5 q^{-2} +7 q^{-3} -7 q^{-4} +8 q^{-5} -6 q^{-6} +5 q^{-7} -3 q^{-8} + q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-5 t^2+10 t-13+10 t^{-1} -5 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+7 z^4+8 z^2+1 }[/math] |
| Determinant | 47 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-4 z^2 a^8-4 a^8+z^6 a^6+5 z^4 a^6+9 z^2 a^6+5 a^6+z^6 a^4+4 z^4 a^4+5 z^2 a^4+a^4-z^4 a^2-2 z^2 a^2-a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-6 z^5 a^{11}+11 z^3 a^{11}-6 z a^{11}+z^8 a^{10}-4 z^6 a^{10}+3 z^4 a^{10}+z^2 a^{10}+z^9 a^9-3 z^7 a^9+3 z^3 a^9-z a^9+z^{10} a^8-5 z^8 a^8+14 z^6 a^8-26 z^4 a^8+19 z^2 a^8-4 a^8+3 z^9 a^7-14 z^7 a^7+28 z^5 a^7-30 z^3 a^7+10 z a^7+z^{10} a^6-4 z^8 a^6+11 z^6 a^6-18 z^4 a^6+13 z^2 a^6-5 a^6+2 z^9 a^5-9 z^7 a^5+21 z^5 a^5-20 z^3 a^5+6 z a^5+2 z^8 a^4-7 z^6 a^4+14 z^4 a^4-8 z^2 a^4+a^4+z^7 a^3-z^5 a^3+3 z^3 a^3+3 z^4 a^2-3 z^2 a^2+a^2+z^3 a-z a }[/math] |
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