K13n2603
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Polynomial invariants
| Jones polynomial | Data:K13n2603/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+23 t^2-44 t+55-44 t^{-1} +23 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2603/Conway Polynomial |
| Determinant | 205 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-z^6 a^{-2} +4 z^6+a^4 z^4-6 a^2 z^4-z^4 a^{-2} +7 z^4+2 a^4 z^2-7 a^2 z^2+z^2 a^{-2} -z^2 a^{-4} +6 z^2+a^4-3 a^2+ a^{-2} - a^{-4} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +7 a^2 z^{10}+5 z^{10} a^{-2} +12 z^{10}+10 a^3 z^9+17 a z^9+11 z^9 a^{-1} +4 z^9 a^{-3} +8 a^4 z^8-4 z^8 a^{-2} +z^8 a^{-4} -13 z^8+4 a^5 z^7-16 a^3 z^7-43 a z^7-25 z^7 a^{-1} -2 z^7 a^{-3} +a^6 z^6-15 a^4 z^6-22 a^2 z^6+7 z^6 a^{-2} +6 z^6 a^{-4} -5 z^6-8 a^5 z^5+6 a^3 z^5+37 a z^5+24 z^5 a^{-1} +4 z^5 a^{-3} +3 z^5 a^{-5} -2 a^6 z^4+9 a^4 z^4+23 a^2 z^4-11 z^4 a^{-2} -11 z^4 a^{-4} +12 z^4+5 a^5 z^3-16 a z^3-15 z^3 a^{-1} -9 z^3 a^{-3} -5 z^3 a^{-5} +a^6 z^2-3 a^4 z^2-12 a^2 z^2+5 z^2 a^{-2} +5 z^2 a^{-4} -8 z^2-a^5 z-a^3 z+2 a z+4 z a^{-1} +4 z a^{-3} +2 z a^{-5} +a^4+3 a^2- a^{-2} - a^{-4} +3 }[/math] |
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