K13n1250
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Polynomial invariants
| Jones polynomial | Data:K13n1250/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+25 t^2-50 t+63-50 t^{-1} +25 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1250/Conway Polynomial |
| Determinant | 229 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-a^2 z^6-2 z^6 a^{-2} +4 z^6-6 z^4 a^{-2} +z^4 a^{-4} +8 z^4-2 a^4 z^2+3 a^2 z^2-8 z^2 a^{-2} +2 z^2 a^{-4} +8 z^2-2 a^4+2 a^2-4 a^{-2} + a^{-4} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +7 a^2 z^{10}+7 z^{10} a^{-2} +14 z^{10}+8 a^3 z^9+20 a z^9+22 z^9 a^{-1} +10 z^9 a^{-3} +3 a^4 z^8-3 a^2 z^8+6 z^8 a^{-2} +8 z^8 a^{-4} -8 z^8-14 a^3 z^7-47 a z^7-49 z^7 a^{-1} -12 z^7 a^{-3} +4 z^7 a^{-5} +3 a^4 z^6-4 a^2 z^6-35 z^6 a^{-2} -14 z^6 a^{-4} +z^6 a^{-6} -27 z^6+6 a^5 z^5+22 a^3 z^5+39 a z^5+28 z^5 a^{-1} -3 z^5 a^{-3} -8 z^5 a^{-5} -10 a^4 z^4-a^2 z^4+33 z^4 a^{-2} +9 z^4 a^{-4} -2 z^4 a^{-6} +31 z^4-11 a^5 z^3-24 a^3 z^3-18 a z^3+11 z^3 a^{-3} +6 z^3 a^{-5} +6 a^4 z^2+3 a^2 z^2-15 z^2 a^{-2} -3 z^2 a^{-4} +z^2 a^{-6} -14 z^2+5 a^5 z+9 a^3 z+4 a z-4 z a^{-1} -6 z a^{-3} -2 z a^{-5} -2 a^4-2 a^2+4 a^{-2} + a^{-4} +4 }[/math] |
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