K13n4282
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Polynomial invariants
| Jones polynomial | Data:K13n4282/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+9 t^3-21 t^2+33 t-37+33 t^{-1} -21 t^{-2} +9 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n4282/Conway Polynomial |
| Determinant | 167 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -z^8 a^{-4} -4 z^6 a^{-2} -5 z^6 a^{-4} +z^6 a^{-6} +z^6-5 z^4 a^{-2} -10 z^4 a^{-4} +5 z^4 a^{-6} +3 z^4-2 z^2 a^{-2} -10 z^2 a^{-4} +8 z^2 a^{-6} -z^2 a^{-8} +3 z^2-4 a^{-4} +4 a^{-6} - a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +6 z^{10} a^{-2} +10 z^{10} a^{-4} +4 z^{10} a^{-6} +9 z^9 a^{-1} +8 z^9 a^{-3} +z^9 a^{-5} +2 z^9 a^{-7} -5 z^8 a^{-2} -26 z^8 a^{-4} -13 z^8 a^{-6} +8 z^8+4 a z^7-18 z^7 a^{-1} -24 z^7 a^{-3} -4 z^7 a^{-5} -2 z^7 a^{-7} +a^2 z^6-8 z^6 a^{-2} +42 z^6 a^{-4} +36 z^6 a^{-6} +5 z^6 a^{-8} -18 z^6-8 a z^5+10 z^5 a^{-1} +21 z^5 a^{-3} +10 z^5 a^{-5} +8 z^5 a^{-7} +z^5 a^{-9} -2 a^2 z^4+8 z^4 a^{-2} -41 z^4 a^{-4} -43 z^4 a^{-6} -8 z^4 a^{-8} +12 z^4+3 a z^3-4 z^3 a^{-1} -4 z^3 a^{-3} -7 z^3 a^{-5} -12 z^3 a^{-7} -2 z^3 a^{-9} +a^2 z^2-2 z^2 a^{-2} +23 z^2 a^{-4} +21 z^2 a^{-6} +3 z^2 a^{-8} -6 z^2-z a^{-3} +z a^{-5} +3 z a^{-7} +z a^{-9} -4 a^{-4} -4 a^{-6} - a^{-8} +2 }[/math] |
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