K13n4225
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Polynomial invariants
| Jones polynomial | Data:K13n4225/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-9 t^3+19 t^2-29 t+35-29 t^{-1} +19 t^{-2} -9 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n4225/Conway Polynomial |
| Determinant | 153 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +z^8-a^2 z^6+5 z^6 a^{-2} -z^6 a^{-4} +4 z^6-3 a^2 z^4+9 z^4 a^{-2} -5 z^4 a^{-4} +4 z^4-2 a^2 z^2+7 z^2 a^{-2} -8 z^2 a^{-4} +z^2 a^{-6} +2 a^{-2} -4 a^{-4} +2 a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +9 z^{10} a^{-2} +3 z^{10} a^{-4} +6 z^{10}+10 a z^9+5 z^9 a^{-1} -4 z^9 a^{-3} +z^9 a^{-5} +11 a^2 z^8-30 z^8 a^{-2} -12 z^8 a^{-4} -7 z^8+8 a^3 z^7-20 a z^7-20 z^7 a^{-1} +9 z^7 a^{-3} +z^7 a^{-5} +4 a^4 z^6-22 a^2 z^6+52 z^6 a^{-2} +31 z^6 a^{-4} +3 z^6 a^{-6} -2 z^6+a^5 z^5-12 a^3 z^5+18 a z^5+24 z^5 a^{-1} -17 z^5 a^{-3} -10 z^5 a^{-5} -5 a^4 z^4+18 a^2 z^4-52 z^4 a^{-2} -49 z^4 a^{-4} -11 z^4 a^{-6} +9 z^4-a^5 z^3+3 a^3 z^3-6 a z^3-9 z^3 a^{-1} +12 z^3 a^{-3} +11 z^3 a^{-5} -6 a^2 z^2+23 z^2 a^{-2} +29 z^2 a^{-4} +11 z^2 a^{-6} -z^2+a z-z a^{-1} -7 z a^{-3} -5 z a^{-5} -2 a^{-2} -4 a^{-4} -2 a^{-6} +1 }[/math] |
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