K13n3603
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Polynomial invariants
| Jones polynomial | Data:K13n3603/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+7 t^3-5 t^2+3-5 t^{-2} +7 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n3603/Conway Polynomial |
| Determinant | 31 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-6} -z^8 a^{-4} +8 z^8 a^{-6} -z^8 a^{-8} -6 z^6 a^{-4} +23 z^6 a^{-6} -7 z^6 a^{-8} -10 z^4 a^{-4} +31 z^4 a^{-6} -15 z^4 a^{-8} +z^4 a^{-10} -4 z^2 a^{-4} +19 z^2 a^{-6} -13 z^2 a^{-8} +2 z^2 a^{-10} + a^{-4} +3 a^{-6} -4 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +3 z^{10} a^{-4} +7 z^{10} a^{-6} +4 z^{10} a^{-8} +z^9 a^{-3} -10 z^9 a^{-5} -9 z^9 a^{-7} +2 z^9 a^{-9} -20 z^8 a^{-4} -47 z^8 a^{-6} -27 z^8 a^{-8} -6 z^7 a^{-3} +7 z^7 a^{-5} -13 z^7 a^{-9} +43 z^6 a^{-4} +100 z^6 a^{-6} +57 z^6 a^{-8} +11 z^5 a^{-3} +17 z^5 a^{-5} +29 z^5 a^{-7} +23 z^5 a^{-9} -36 z^4 a^{-4} -85 z^4 a^{-6} -53 z^4 a^{-8} -4 z^4 a^{-10} -7 z^3 a^{-3} -17 z^3 a^{-5} -27 z^3 a^{-7} -19 z^3 a^{-9} -2 z^3 a^{-11} +10 z^2 a^{-4} +30 z^2 a^{-6} +23 z^2 a^{-8} +3 z^2 a^{-10} +z a^{-3} +2 z a^{-5} +6 z a^{-7} +6 z a^{-9} +z a^{-11} + a^{-4} -3 a^{-6} -4 a^{-8} - a^{-10} }[/math] |
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