K13n3561
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Polynomial invariants
| Jones polynomial | Data:K13n3561/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+25 t^2-58 t+75-58 t^{-1} +25 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3561/Conway Polynomial |
| Determinant | 249 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -3 z^6 a^{-6} +z^4 a^{-2} +z^4 a^{-4} -7 z^4 a^{-6} +6 z^4 a^{-8} +z^2 a^{-2} +4 z^2 a^{-4} -6 z^2 a^{-6} +10 z^2 a^{-8} -3 z^2 a^{-10} +2 a^{-4} -2 a^{-6} +3 a^{-8} -2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-7} +3 z^{11} a^{-9} +10 z^{10} a^{-6} +19 z^{10} a^{-8} +9 z^{10} a^{-10} +13 z^9 a^{-5} +25 z^9 a^{-7} +21 z^9 a^{-9} +9 z^9 a^{-11} +9 z^8 a^{-4} -4 z^8 a^{-6} -23 z^8 a^{-8} -7 z^8 a^{-10} +3 z^8 a^{-12} +4 z^7 a^{-3} -25 z^7 a^{-5} -70 z^7 a^{-7} -53 z^7 a^{-9} -12 z^7 a^{-11} +z^6 a^{-2} -17 z^6 a^{-4} -24 z^6 a^{-6} -13 z^6 a^{-8} -z^6 a^{-10} +6 z^6 a^{-12} -7 z^5 a^{-3} +22 z^5 a^{-5} +64 z^5 a^{-7} +40 z^5 a^{-9} +11 z^5 a^{-11} +6 z^5 a^{-13} -2 z^4 a^{-2} +14 z^4 a^{-4} +32 z^4 a^{-6} +29 z^4 a^{-8} -z^4 a^{-10} -14 z^4 a^{-12} +3 z^3 a^{-3} -11 z^3 a^{-5} -25 z^3 a^{-7} -12 z^3 a^{-9} -10 z^3 a^{-11} -9 z^3 a^{-13} +z^2 a^{-2} -8 z^2 a^{-4} -16 z^2 a^{-6} -15 z^2 a^{-8} -3 z^2 a^{-10} +5 z^2 a^{-12} +z a^{-5} +4 z a^{-7} +2 z a^{-9} +2 z a^{-11} +3 z a^{-13} +2 a^{-4} +2 a^{-6} +3 a^{-8} +2 a^{-10} }[/math] |
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