K12n75
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+2 q^3-5 q^2+9 q-11+14 q^{-1} -13 q^{-2} +12 q^{-3} -9 q^{-4} +5 q^{-5} -2 q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-10 t^2+18 t-21+18 t^{-1} -10 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^6+8 z^4+5 z^2+1 }[/math] |
| Determinant | 83 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 a^2 z^6+z^6-2 a^4 z^4+8 a^2 z^4-z^4 a^{-2} +3 z^4-5 a^4 z^2+10 a^2 z^2-3 z^2 a^{-2} +3 z^2-3 a^4+4 a^2-2 a^{-2} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+3 a^3 z^9+5 a z^9+2 z^9 a^{-1} +4 a^4 z^8+4 a^2 z^8+2 z^8 a^{-2} +2 z^8+3 a^5 z^7-2 a^3 z^7-10 a z^7-4 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6-3 a^4 z^6-8 a^2 z^6-8 z^6 a^{-2} -12 z^6+a^3 z^5+a z^5-5 z^5 a^{-1} -5 z^5 a^{-3} +4 a^6 z^4-2 a^4 z^4-7 a^2 z^4+10 z^4 a^{-2} +9 z^4+3 a^7 z^3-8 a^3 z^3+13 z^3 a^{-1} +8 z^3 a^{-3} -2 a^6 z^2+6 a^4 z^2+10 a^2 z^2-5 z^2 a^{-2} -3 z^2-2 a^7 z+a^5 z+5 a^3 z-6 z a^{-1} -4 z a^{-3} -3 a^4-4 a^2+2 a^{-2} +2 }[/math] |
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