K13n3445
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Polynomial invariants
| Jones polynomial | Data:K13n3445/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-20 t^2+53 t-71+53 t^{-1} -20 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3445/Conway Polynomial |
| Determinant | 223 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-4} +z^6 a^{-6} -4 z^4 a^{-2} +3 z^4 a^{-4} -z^4 a^{-8} -4 z^2 a^{-2} +2 z^2 a^{-4} +2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-5} +3 z^{11} a^{-7} +10 z^{10} a^{-4} +19 z^{10} a^{-6} +9 z^{10} a^{-8} +12 z^9 a^{-3} +22 z^9 a^{-5} +20 z^9 a^{-7} +10 z^9 a^{-9} +6 z^8 a^{-2} -13 z^8 a^{-4} -36 z^8 a^{-6} -12 z^8 a^{-8} +5 z^8 a^{-10} +z^7 a^{-1} -29 z^7 a^{-3} -79 z^7 a^{-5} -77 z^7 a^{-7} -27 z^7 a^{-9} +z^7 a^{-11} -6 z^6 a^{-2} -z^6 a^{-4} -18 z^6 a^{-8} -13 z^6 a^{-10} +7 z^5 a^{-1} +46 z^5 a^{-3} +91 z^5 a^{-5} +75 z^5 a^{-7} +21 z^5 a^{-9} -2 z^5 a^{-11} +12 z^4 a^{-2} +14 z^4 a^{-4} +19 z^4 a^{-6} +24 z^4 a^{-8} +10 z^4 a^{-10} +3 z^4-8 z^3 a^{-1} -29 z^3 a^{-3} -47 z^3 a^{-5} -33 z^3 a^{-7} -6 z^3 a^{-9} +z^3 a^{-11} -7 z^2 a^{-2} -5 z^2 a^{-4} -7 z^2 a^{-6} -7 z^2 a^{-8} -2 z^2 a^{-10} -4 z^2+2 z a^{-1} +7 z a^{-3} +9 z a^{-5} +5 z a^{-7} +z a^{-9} +1 }[/math] |
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