K12n701
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^{-1} -4 q^{-2} +6 q^{-3} -8 q^{-4} +10 q^{-5} -9 q^{-6} +9 q^{-7} -7 q^{-8} +4 q^{-9} -3 q^{-10} + q^{-11} }[/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{ z^2 a^{10}-z^4 a^8-z^2 a^8-2 a^8-z^4 a^6+2 z^2 a^6+3 a^6-z^4 a^4-a^4+2 z^2 a^2+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{12}-5 z^6 a^{12}+7 z^4 a^{12}-2 z^2 a^{12}+3 z^9 a^{11}-17 z^7 a^{11}+30 z^5 a^{11}-16 z^3 a^{11}+2 z^{10} a^{10}-8 z^8 a^{10}+6 z^6 a^{10}+3 z^4 a^{10}+7 z^9 a^9-34 z^7 a^9+52 z^5 a^9-30 z^3 a^9+5 z a^9+2 z^{10} a^8-5 z^8 a^8+2 z^6 a^8-9 z^4 a^8+12 z^2 a^8-2 a^8+4 z^9 a^7-13 z^7 a^7+15 z^5 a^7-16 z^3 a^7+5 z a^7+4 z^8 a^6-6 z^6 a^6-8 z^4 a^6+10 z^2 a^6-3 a^6+4 z^7 a^5-6 z^5 a^5+z^3 a^5-z a^5+3 z^6 a^4-3 z^4 a^4+3 z^2 a^4-a^4+z^5 a^3+3 z^3 a^3-z a^3+3 z^2 a^2-a^2 }[/math] |
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