K13n3717
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Polynomial invariants
| Jones polynomial | Data:K13n3717/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+10 t^3-20 t^2+24 t-23+24 t^{-1} -20 t^{-2} +10 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3717/Conway Polynomial |
| Determinant | 135 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -z^8+a^2 z^6-4 z^6 a^{-2} +z^6 a^{-4} -4 z^6+3 a^2 z^4-3 z^4 a^{-2} +4 z^4 a^{-4} -4 z^4+a^2 z^2+z^2 a^{-2} +2 z^2 a^{-4} -z^2 a^{-6} -z^2-a^2+ a^{-2} - a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a z^{11}+3 z^{11} a^{-1} +6 a^2 z^{10}+8 z^{10} a^{-2} +14 z^{10}+4 a^3 z^9-2 a z^9+3 z^9 a^{-1} +9 z^9 a^{-3} +a^4 z^8-26 a^2 z^8-25 z^8 a^{-2} +5 z^8 a^{-4} -57 z^8-18 a^3 z^7-30 a z^7-43 z^7 a^{-1} -30 z^7 a^{-3} +z^7 a^{-5} -4 a^4 z^6+35 a^2 z^6+23 z^6 a^{-2} -10 z^6 a^{-4} +72 z^6+25 a^3 z^5+52 a z^5+60 z^5 a^{-1} +38 z^5 a^{-3} +5 z^5 a^{-5} +4 a^4 z^4-20 a^2 z^4-14 z^4 a^{-2} +9 z^4 a^{-4} +4 z^4 a^{-6} -43 z^4-11 a^3 z^3-27 a z^3-31 z^3 a^{-1} -22 z^3 a^{-3} -6 z^3 a^{-5} +z^3 a^{-7} +5 a^2 z^2+8 z^2 a^{-2} -z^2 a^{-4} -2 z^2 a^{-6} +12 z^2+2 a z+4 z a^{-1} +4 z a^{-3} +2 z a^{-5} +a^2- a^{-2} - a^{-4} +2 }[/math] |
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