K13n4069
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Polynomial invariants
| Jones polynomial | Data:K13n4069/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+18 t^2-33 t+41-33 t^{-1} +18 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4069/Conway Polynomial |
| Determinant | 157 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +6 z^6 a^{-2} -z^6 a^{-4} -3 z^6+2 a^2 z^4+16 z^4 a^{-2} -4 z^4 a^{-4} -12 z^4+4 a^2 z^2+19 z^2 a^{-2} -6 z^2 a^{-4} -16 z^2+2 a^2+8 a^{-2} -3 a^{-4} -6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +10 z^{10} a^{-2} +5 z^{10} a^{-4} +5 z^{10}+6 a z^9+4 z^9 a^{-1} +3 z^9 a^{-3} +5 z^9 a^{-5} +4 a^2 z^8-30 z^8 a^{-2} -16 z^8 a^{-4} +3 z^8 a^{-6} -7 z^8+a^3 z^7-7 a z^7-10 z^7 a^{-1} -21 z^7 a^{-3} -18 z^7 a^{-5} +z^7 a^{-7} +a^2 z^6+49 z^6 a^{-2} +23 z^6 a^{-4} -11 z^6 a^{-6} +16 z^6+7 a^3 z^5+8 a z^5+5 z^5 a^{-1} +31 z^5 a^{-3} +23 z^5 a^{-5} -4 z^5 a^{-7} +3 a^4 z^4-4 a^2 z^4-58 z^4 a^{-2} -24 z^4 a^{-4} +11 z^4 a^{-6} -30 z^4-8 a^3 z^3-6 a z^3-5 z^3 a^{-1} -26 z^3 a^{-3} -15 z^3 a^{-5} +4 z^3 a^{-7} -2 a^4 z^2+3 a^2 z^2+34 z^2 a^{-2} +12 z^2 a^{-4} -2 z^2 a^{-6} +25 z^2+a^3 z+2 a z+4 z a^{-1} +7 z a^{-3} +4 z a^{-5} -2 a^2-8 a^{-2} -3 a^{-4} -6 }[/math] |
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