K13n3342
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Polynomial invariants
| Jones polynomial | Data:K13n3342/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-28 t^2+58 t-73+58 t^{-1} -28 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3342/Conway Polynomial |
| Determinant | 263 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -4 z^6 a^{-2} +3 z^6 a^{-4} +z^6-8 z^4 a^{-2} +8 z^4 a^{-4} -2 z^4 a^{-6} +2 z^4-6 z^2 a^{-2} +7 z^2 a^{-4} -z^2 a^{-6} +2 z^2- a^{-2} + a^{-4} + a^{-6} - a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-3} +3 z^{11} a^{-5} +11 z^{10} a^{-2} +20 z^{10} a^{-4} +9 z^{10} a^{-6} +16 z^9 a^{-1} +31 z^9 a^{-3} +24 z^9 a^{-5} +9 z^9 a^{-7} +2 z^8 a^{-2} -18 z^8 a^{-4} -5 z^8 a^{-6} +3 z^8 a^{-8} +12 z^8+5 a z^7-28 z^7 a^{-1} -82 z^7 a^{-3} -61 z^7 a^{-5} -12 z^7 a^{-7} +a^2 z^6-44 z^6 a^{-2} -32 z^6 a^{-4} -5 z^6 a^{-6} +6 z^6 a^{-8} -22 z^6-7 a z^5+16 z^5 a^{-1} +65 z^5 a^{-3} +50 z^5 a^{-5} +14 z^5 a^{-7} +6 z^5 a^{-9} -a^2 z^4+44 z^4 a^{-2} +44 z^4 a^{-4} +z^4 a^{-6} -14 z^4 a^{-8} +14 z^4+2 a z^3-6 z^3 a^{-1} -19 z^3 a^{-3} -17 z^3 a^{-5} -15 z^3 a^{-7} -9 z^3 a^{-9} -15 z^2 a^{-2} -14 z^2 a^{-4} +2 z^2 a^{-6} +6 z^2 a^{-8} -5 z^2+z a^{-1} +2 z a^{-3} +2 z a^{-5} +4 z a^{-7} +3 z a^{-9} + a^{-2} + a^{-4} - a^{-6} - a^{-8} +1 }[/math] |
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