K12n270
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 3 q^{-1} -6 q^{-2} +8 q^{-3} -10 q^{-4} +11 q^{-5} -9 q^{-6} +8 q^{-7} -5 q^{-8} +2 q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -3 t^2+16 t-25+16 t^{-1} -3 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -3 z^4+4 z^2+1 }[/math] |
| Determinant | 63 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+2 z^2 a^8-z^4 a^6+2 z^2 a^6+3 a^6-2 z^4 a^4-3 z^2 a^4-3 a^4+3 z^2 a^2+2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-5 z^5 a^{11}+8 z^3 a^{11}-4 z a^{11}+2 z^8 a^{10}-8 z^6 a^{10}+9 z^4 a^{10}-3 z^2 a^{10}+a^{10}+2 z^9 a^9-5 z^7 a^9-2 z^5 a^9+8 z^3 a^9-3 z a^9+z^{10} a^8-5 z^6 a^8-3 z^4 a^8+6 z^2 a^8+4 z^9 a^7-11 z^7 a^7+9 z^5 a^7-8 z^3 a^7+z a^7+z^{10} a^6-z^8 a^6+5 z^6 a^6-19 z^4 a^6+15 z^2 a^6-3 a^6+2 z^9 a^5-5 z^7 a^5+9 z^5 a^5-7 z^3 a^5-z a^5+z^8 a^4+2 z^6 a^4-7 z^4 a^4+11 z^2 a^4-3 a^4+3 z^5 a^3+z^3 a^3-z a^3+5 z^2 a^2-2 a^2 }[/math] |
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