K12n330
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^8+4 q^7-8 q^6+11 q^5-14 q^4+15 q^3-13 q^2+11 q-6+3 q^{-1} - q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-9 t^2+20 t-25+20 t^{-1} -9 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+3 z^4+2 z^2+1 }[/math] |
| Determinant | 87 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +3 z^4 a^{-2} +2 z^4 a^{-4} -z^4 a^{-6} -z^4+5 z^2 a^{-2} -z^2 a^{-6} -2 z^2+4 a^{-2} -2 a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +z^9 a^{-1} +5 z^9 a^{-3} +4 z^9 a^{-5} -2 z^8 a^{-2} +5 z^8 a^{-4} +7 z^8 a^{-6} -3 z^7 a^{-1} -15 z^7 a^{-3} -5 z^7 a^{-5} +7 z^7 a^{-7} +7 z^6 a^{-2} -14 z^6 a^{-4} -14 z^6 a^{-6} +4 z^6 a^{-8} +3 z^6+a z^5+11 z^5 a^{-1} +28 z^5 a^{-3} +4 z^5 a^{-5} -13 z^5 a^{-7} +z^5 a^{-9} -8 z^4 a^{-2} +15 z^4 a^{-4} +10 z^4 a^{-6} -6 z^4 a^{-8} -7 z^4-3 a z^3-16 z^3 a^{-1} -23 z^3 a^{-3} -5 z^3 a^{-5} +4 z^3 a^{-7} -z^3 a^{-9} +6 z^2 a^{-2} -2 z^2 a^{-4} -4 z^2 a^{-6} +4 z^2+2 a z+6 z a^{-1} +8 z a^{-3} +4 z a^{-5} -4 a^{-2} -2 a^{-4} -1 }[/math] |
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