K12a960
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-5 q^5+13 q^4-23 q^3+34 q^2-42 q+45-42 q^{-1} +34 q^{-2} -23 q^{-3} +13 q^{-4} -5 q^{-5} + q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+25 t^2-66 t+91-66 t^{-1} +25 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -4 z^6+z^4-2 z^2+1 }[/math] |
| Determinant | 281 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6-z^6 a^{-2} -2 z^6+a^4 z^4+z^4 a^{-4} -z^4-2 a^2 z^2-2 z^2 a^{-2} +2 z^2+a^4-2 a^2-2 a^{-2} + a^{-4} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 5 a z^{11}+5 z^{11} a^{-1} +14 a^2 z^{10}+14 z^{10} a^{-2} +28 z^{10}+17 a^3 z^9+23 a z^9+23 z^9 a^{-1} +17 z^9 a^{-3} +12 a^4 z^8-17 a^2 z^8-17 z^8 a^{-2} +12 z^8 a^{-4} -58 z^8+5 a^5 z^7-34 a^3 z^7-79 a z^7-79 z^7 a^{-1} -34 z^7 a^{-3} +5 z^7 a^{-5} +a^6 z^6-22 a^4 z^6-6 a^2 z^6-6 z^6 a^{-2} -22 z^6 a^{-4} +z^6 a^{-6} +34 z^6-7 a^5 z^5+24 a^3 z^5+82 a z^5+82 z^5 a^{-1} +24 z^5 a^{-3} -7 z^5 a^{-5} -a^6 z^4+11 a^4 z^4+16 a^2 z^4+16 z^4 a^{-2} +11 z^4 a^{-4} -z^4 a^{-6} +8 z^4+a^5 z^3-10 a^3 z^3-33 a z^3-33 z^3 a^{-1} -10 z^3 a^{-3} +z^3 a^{-5} -3 a^4 z^2-9 a^2 z^2-9 z^2 a^{-2} -3 z^2 a^{-4} -12 z^2+2 a^3 z+4 a z+4 z a^{-1} +2 z a^{-3} +a^4+2 a^2+2 a^{-2} + a^{-4} +3 }[/math] |
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