K12n63
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^2-q+1+ q^{-1} -4 q^{-2} +6 q^{-3} -7 q^{-4} +8 q^{-5} -7 q^{-6} +5 q^{-7} -3 q^{-8} + q^{-9} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -3 t^2+10 t-13+10 t^{-1} -3 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -3 z^4-2 z^2+1 }[/math] |
| Determinant | 39 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-2 z^4 a^6-5 z^2 a^6-4 a^6+z^6 a^4+5 z^4 a^4+11 z^2 a^4+8 a^4-z^6 a^2-7 z^4 a^2-13 z^2 a^2-8 a^2+z^4+4 z^2+4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{10}-3 z^4 a^{10}+2 z^2 a^{10}+3 z^7 a^9-10 z^5 a^9+8 z^3 a^9-2 z a^9+3 z^8 a^8-8 z^6 a^8+3 z^4 a^8-2 z^2 a^8+a^8+z^9 a^7+3 z^7 a^7-18 z^5 a^7+16 z^3 a^7-5 z a^7+5 z^8 a^6-18 z^6 a^6+23 z^4 a^6-16 z^2 a^6+4 a^6+z^9 a^5-z^7 a^5-6 z^5 a^5+13 z^3 a^5-5 z a^5+3 z^8 a^4-20 z^6 a^4+45 z^4 a^4-33 z^2 a^4+8 a^4+z^9 a^3-8 z^7 a^3+15 z^5 a^3-3 z^3 a^3-z a^3+2 z^8 a^2-18 z^6 a^2+43 z^4 a^2-34 z^2 a^2+8 a^2+z^9 a-7 z^7 a+13 z^5 a-8 z^3 a+z a+z^8-7 z^6+15 z^4-13 z^2+4 }[/math] |
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