K13n4097
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Polynomial invariants
| Jones polynomial | Data:K13n4097/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-25 t^2+46 t-55+46 t^{-1} -25 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4097/Conway Polynomial |
| Determinant | 215 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +3 z^6 a^{-2} -4 z^6 a^{-4} +z^6 a^{-6} +10 z^4 a^{-2} -7 z^4 a^{-4} +2 z^4 a^{-6} -2 z^4+11 z^2 a^{-2} -6 z^2 a^{-4} +z^2 a^{-6} -4 z^2+4 a^{-2} -2 a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-3} +3 z^{11} a^{-5} +6 z^{10} a^{-2} +15 z^{10} a^{-4} +9 z^{10} a^{-6} +4 z^9 a^{-1} +4 z^9 a^{-3} +13 z^9 a^{-5} +13 z^9 a^{-7} -13 z^8 a^{-2} -30 z^8 a^{-4} -5 z^8 a^{-6} +11 z^8 a^{-8} +z^8-3 z^7 a^{-1} -7 z^7 a^{-3} -30 z^7 a^{-5} -21 z^7 a^{-7} +5 z^7 a^{-9} +32 z^6 a^{-2} +35 z^6 a^{-4} -13 z^6 a^{-6} -21 z^6 a^{-8} +z^6 a^{-10} +6 z^6+3 a z^5+4 z^5 a^{-1} +4 z^5 a^{-3} +14 z^5 a^{-5} +3 z^5 a^{-7} -8 z^5 a^{-9} -39 z^4 a^{-2} -31 z^4 a^{-4} +5 z^4 a^{-6} +10 z^4 a^{-8} -z^4 a^{-10} -14 z^4-5 a z^3-5 z^3 a^{-1} -3 z^3 a^{-3} -2 z^3 a^{-5} +4 z^3 a^{-7} +3 z^3 a^{-9} +21 z^2 a^{-2} +13 z^2 a^{-4} +z^2 a^{-6} +9 z^2+a z+2 z a^{-1} +2 z a^{-3} -z a^{-7} -4 a^{-2} -2 a^{-4} -1 }[/math] |
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