K12n620
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^9-5 q^8+11 q^7-17 q^6+22 q^5-24 q^4+23 q^3-19 q^2+13 q-6+2 q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-13 t^2+34 t-45+34 t^{-1} -13 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6-z^4+1 }[/math] |
| Determinant | 143 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-4} -4 z^4 a^{-2} +6 z^4 a^{-4} -3 z^4 a^{-6} -7 z^2 a^{-2} +8 z^2 a^{-4} -4 z^2 a^{-6} +z^2 a^{-8} +2 z^2-3 a^{-2} +3 a^{-4} - a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{10} a^{-4} +3 z^{10} a^{-6} +7 z^9 a^{-3} +16 z^9 a^{-5} +9 z^9 a^{-7} +5 z^8 a^{-2} +9 z^8 a^{-4} +14 z^8 a^{-6} +10 z^8 a^{-8} +z^7 a^{-1} -15 z^7 a^{-3} -34 z^7 a^{-5} -13 z^7 a^{-7} +5 z^7 a^{-9} -9 z^6 a^{-2} -35 z^6 a^{-4} -49 z^6 a^{-6} -22 z^6 a^{-8} +z^6 a^{-10} +5 z^5 a^{-1} +23 z^5 a^{-3} +21 z^5 a^{-5} -6 z^5 a^{-7} -9 z^5 a^{-9} +20 z^4 a^{-2} +44 z^4 a^{-4} +39 z^4 a^{-6} +11 z^4 a^{-8} -z^4 a^{-10} +3 z^4-6 z^3 a^{-1} -11 z^3 a^{-3} -2 z^3 a^{-5} +6 z^3 a^{-7} +3 z^3 a^{-9} -16 z^2 a^{-2} -20 z^2 a^{-4} -11 z^2 a^{-6} -2 z^2 a^{-8} -5 z^2+z a^{-1} +z a^{-3} -z a^{-5} -z a^{-7} +3 a^{-2} +3 a^{-4} + a^{-6} +2 }[/math] |
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