K13n371
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Polynomial invariants
| Jones polynomial | Data:K13n371/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-21 t^2+50 t-65+50 t^{-1} -21 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n371/Conway Polynomial |
| Determinant | 215 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +2 z^6 a^{-4} +5 z^4 a^{-2} +3 z^4 a^{-4} -3 z^4 a^{-6} -2 z^4+7 z^2 a^{-2} -3 z^2 a^{-6} +z^2 a^{-8} -3 z^2+4 a^{-2} -2 a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +6 z^{10} a^{-2} +14 z^{10} a^{-4} +8 z^{10} a^{-6} +5 z^9 a^{-1} +15 z^9 a^{-3} +23 z^9 a^{-5} +13 z^9 a^{-7} -12 z^8 a^{-2} -20 z^8 a^{-4} +4 z^8 a^{-6} +11 z^8 a^{-8} +z^8-11 z^7 a^{-1} -50 z^7 a^{-3} -65 z^7 a^{-5} -21 z^7 a^{-7} +5 z^7 a^{-9} +26 z^6 a^{-2} +2 z^6 a^{-4} -40 z^6 a^{-6} -21 z^6 a^{-8} +z^6 a^{-10} +6 z^6+3 a z^5+26 z^5 a^{-1} +76 z^5 a^{-3} +65 z^5 a^{-5} +4 z^5 a^{-7} -8 z^5 a^{-9} -29 z^4 a^{-2} +8 z^4 a^{-4} +35 z^4 a^{-6} +11 z^4 a^{-8} -z^4 a^{-10} -14 z^4-6 a z^3-30 z^3 a^{-1} -54 z^3 a^{-3} -33 z^3 a^{-5} +3 z^3 a^{-9} +15 z^2 a^{-2} +z^2 a^{-4} -9 z^2 a^{-6} -3 z^2 a^{-8} +8 z^2+3 a z+10 z a^{-1} +14 z a^{-3} +8 z a^{-5} +z a^{-7} -4 a^{-2} -2 a^{-4} -1 }[/math] |
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