K13n4202
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Polynomial invariants
| Jones polynomial | Data:K13n4202/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+8 t^3-14 t^2+18 t-19+18 t^{-1} -14 t^{-2} +8 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n4202/Conway Polynomial |
| Determinant | 103 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -4 z^6 a^{-6} -6 z^6 a^{-8} +z^6 a^{-10} +4 z^4 a^{-4} -2 z^4 a^{-6} -14 z^4 a^{-8} +6 z^4 a^{-10} +5 z^2 a^{-4} +5 z^2 a^{-6} -17 z^2 a^{-8} +10 z^2 a^{-10} -z^2 a^{-12} +2 a^{-4} +3 a^{-6} -8 a^{-8} +5 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +4 z^{10} a^{-6} +10 z^{10} a^{-8} +6 z^{10} a^{-10} +3 z^9 a^{-5} +3 z^9 a^{-9} +6 z^9 a^{-11} +z^8 a^{-4} -15 z^8 a^{-6} -43 z^8 a^{-8} -25 z^8 a^{-10} +2 z^8 a^{-12} -13 z^7 a^{-5} -27 z^7 a^{-7} -41 z^7 a^{-9} -27 z^7 a^{-11} -5 z^6 a^{-4} +12 z^6 a^{-6} +59 z^6 a^{-8} +36 z^6 a^{-10} -6 z^6 a^{-12} +16 z^5 a^{-5} +43 z^5 a^{-7} +71 z^5 a^{-9} +45 z^5 a^{-11} +z^5 a^{-13} +9 z^4 a^{-4} -2 z^4 a^{-6} -48 z^4 a^{-8} -29 z^4 a^{-10} +8 z^4 a^{-12} -5 z^3 a^{-5} -24 z^3 a^{-7} -52 z^3 a^{-9} -32 z^3 a^{-11} +z^3 a^{-13} -7 z^2 a^{-4} +6 z^2 a^{-6} +29 z^2 a^{-8} +14 z^2 a^{-10} -z^2 a^{-12} +z^2 a^{-14} -z a^{-5} +6 z a^{-7} +14 z a^{-9} +8 z a^{-11} +z a^{-13} +2 a^{-4} -3 a^{-6} -8 a^{-8} -5 a^{-10} - a^{-12} }[/math] |
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