K13n2669
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Polynomial invariants
| Jones polynomial | Data:K13n2669/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+10 t^3-27 t^2+50 t-61+50 t^{-1} -27 t^{-2} +10 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n2669/Conway Polynomial |
| Determinant | 239 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -z^8 a^{-4} -4 z^6 a^{-2} -4 z^6 a^{-4} +z^6 a^{-6} +z^6-7 z^4 a^{-2} -7 z^4 a^{-4} +4 z^4 a^{-6} +3 z^4-5 z^2 a^{-2} -6 z^2 a^{-4} +8 z^2 a^{-6} -z^2 a^{-8} +4 z^2- a^{-2} -3 a^{-4} +5 a^{-6} -2 a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-3} +3 z^{11} a^{-5} +9 z^{10} a^{-2} +18 z^{10} a^{-4} +9 z^{10} a^{-6} +12 z^9 a^{-1} +20 z^9 a^{-3} +17 z^9 a^{-5} +9 z^9 a^{-7} -3 z^8 a^{-2} -28 z^8 a^{-4} -13 z^8 a^{-6} +3 z^8 a^{-8} +9 z^8+4 a z^7-22 z^7 a^{-1} -54 z^7 a^{-3} -43 z^7 a^{-5} -15 z^7 a^{-7} +a^2 z^6-21 z^6 a^{-2} +14 z^6 a^{-4} +22 z^6 a^{-6} +6 z^6 a^{-8} -18 z^6-7 a z^5+17 z^5 a^{-1} +46 z^5 a^{-3} +35 z^5 a^{-5} +19 z^5 a^{-7} +6 z^5 a^{-9} -2 a^2 z^4+25 z^4 a^{-2} -13 z^4 a^{-4} -38 z^4 a^{-6} -17 z^4 a^{-8} +15 z^4+3 a z^3-9 z^3 a^{-1} -17 z^3 a^{-3} -15 z^3 a^{-5} -19 z^3 a^{-7} -9 z^3 a^{-9} +a^2 z^2-11 z^2 a^{-2} +13 z^2 a^{-4} +25 z^2 a^{-6} +10 z^2 a^{-8} -8 z^2+2 z a^{-1} +3 z a^{-3} +3 z a^{-5} +5 z a^{-7} +3 z a^{-9} + a^{-2} -3 a^{-4} -5 a^{-6} -2 a^{-8} +2 }[/math] |
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