K13n1755
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Polynomial invariants
| Jones polynomial | Data:K13n1755/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+12 t^2-26 t+33-26 t^{-1} +12 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1755/Conway Polynomial |
| Determinant | 113 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-8} +z^4 a^{-4} +4 z^4 a^{-6} -8 z^4 a^{-8} +3 z^4 a^{-10} +2 z^2 a^{-4} +9 z^2 a^{-6} -13 z^2 a^{-8} +7 z^2 a^{-10} -z^2 a^{-12} + a^{-4} +4 a^{-6} -7 a^{-8} +4 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-9} +2 z^{11} a^{-11} +4 z^{10} a^{-8} +10 z^{10} a^{-10} +6 z^{10} a^{-12} +2 z^9 a^{-7} -z^9 a^{-9} +4 z^9 a^{-11} +7 z^9 a^{-13} -19 z^8 a^{-8} -43 z^8 a^{-10} -20 z^8 a^{-12} +4 z^8 a^{-14} -7 z^7 a^{-7} -22 z^7 a^{-9} -43 z^7 a^{-11} -27 z^7 a^{-13} +z^7 a^{-15} +5 z^6 a^{-6} +43 z^6 a^{-8} +64 z^6 a^{-10} +12 z^6 a^{-12} -14 z^6 a^{-14} +2 z^5 a^{-5} +19 z^5 a^{-7} +57 z^5 a^{-9} +70 z^5 a^{-11} +27 z^5 a^{-13} -3 z^5 a^{-15} +z^4 a^{-4} -11 z^4 a^{-6} -45 z^4 a^{-8} -41 z^4 a^{-10} +2 z^4 a^{-12} +10 z^4 a^{-14} -2 z^3 a^{-5} -20 z^3 a^{-7} -48 z^3 a^{-9} -42 z^3 a^{-11} -11 z^3 a^{-13} +z^3 a^{-15} -2 z^2 a^{-4} +12 z^2 a^{-6} +26 z^2 a^{-8} +14 z^2 a^{-10} -2 z^2 a^{-14} +7 z a^{-7} +13 z a^{-9} +9 z a^{-11} +3 z a^{-13} + a^{-4} -4 a^{-6} -7 a^{-8} -4 a^{-10} - a^{-12} }[/math] |
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