K12n267
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^9-4 q^8+7 q^7-10 q^6+12 q^5-11 q^4+10 q^3-7 q^2+3 q- q^{-1} + q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -4 t^2+16 t-23+16 t^{-1} -4 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 1-4 z^4 }[/math] |
| Determinant | 63 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} +z^6 a^{-4} -7 z^4 a^{-2} +4 z^4 a^{-4} -2 z^4 a^{-6} +z^4-11 z^2 a^{-2} +9 z^2 a^{-4} -3 z^2 a^{-6} +z^2 a^{-8} +4 z^2-6 a^{-2} +6 a^{-4} -2 a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-1} +2 z^9 a^{-3} +5 z^9 a^{-5} +4 z^9 a^{-7} +z^8 a^{-2} -z^8 a^{-4} +5 z^8 a^{-6} +6 z^8 a^{-8} +z^8-8 z^7 a^{-1} -15 z^7 a^{-3} -19 z^7 a^{-5} -8 z^7 a^{-7} +4 z^7 a^{-9} -13 z^6 a^{-2} -14 z^6 a^{-4} -27 z^6 a^{-6} -18 z^6 a^{-8} +z^6 a^{-10} -7 z^6+17 z^5 a^{-1} +35 z^5 a^{-3} +25 z^5 a^{-5} -4 z^5 a^{-7} -11 z^5 a^{-9} +36 z^4 a^{-2} +43 z^4 a^{-4} +35 z^4 a^{-6} +12 z^4 a^{-8} -2 z^4 a^{-10} +14 z^4-13 z^3 a^{-1} -23 z^3 a^{-3} -9 z^3 a^{-5} +6 z^3 a^{-7} +5 z^3 a^{-9} -29 z^2 a^{-2} -31 z^2 a^{-4} -17 z^2 a^{-6} -4 z^2 a^{-8} -11 z^2+3 z a^{-1} +5 z a^{-3} +z a^{-5} -z a^{-7} +6 a^{-2} +6 a^{-4} +2 a^{-6} +3 }[/math] |
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