K13n3664
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Polynomial invariants
| Jones polynomial | Data:K13n3664/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-11 t^2+22 t-27+22 t^{-1} -11 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3664/Conway Polynomial |
| Determinant | 99 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 3 z^6 a^{-6} -3 z^4 a^{-4} +14 z^4 a^{-6} -4 z^4 a^{-8} +z^2 a^{-2} -7 z^2 a^{-4} +22 z^2 a^{-6} -12 z^2 a^{-8} +z^2 a^{-10} + a^{-2} -4 a^{-4} +11 a^{-6} -9 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +6 z^{10} a^{-6} +11 z^{10} a^{-8} +5 z^{10} a^{-10} +4 z^9 a^{-5} +4 z^9 a^{-7} +4 z^9 a^{-9} +4 z^9 a^{-11} -29 z^8 a^{-6} -49 z^8 a^{-8} -19 z^8 a^{-10} +z^8 a^{-12} -19 z^7 a^{-5} -53 z^7 a^{-7} -52 z^7 a^{-9} -18 z^7 a^{-11} +3 z^6 a^{-4} +51 z^6 a^{-6} +66 z^6 a^{-8} +14 z^6 a^{-10} -4 z^6 a^{-12} +33 z^5 a^{-5} +101 z^5 a^{-7} +93 z^5 a^{-9} +25 z^5 a^{-11} -10 z^4 a^{-4} -54 z^4 a^{-6} -46 z^4 a^{-8} +3 z^4 a^{-10} +5 z^4 a^{-12} -28 z^3 a^{-5} -79 z^3 a^{-7} -65 z^3 a^{-9} -14 z^3 a^{-11} +z^2 a^{-2} +12 z^2 a^{-4} +35 z^2 a^{-6} +26 z^2 a^{-8} -2 z^2 a^{-12} +2 z a^{-3} +10 z a^{-5} +23 z a^{-7} +19 z a^{-9} +4 z a^{-11} - a^{-2} -4 a^{-4} -11 a^{-6} -9 a^{-8} -2 a^{-10} }[/math] |
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