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Lowest zero	Conductor	Analytic conductor	Central character	Analytic rank

Degree	Bad \(p\)	Root analytic conductor	Motivic weight	Spectral label

Root number	Primitive	Origin	Exclude origin

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Columns to display		Euler factor constraints
	e.g. 3,7,19		e.g. F3=1-T,F5=1+T+5T^2

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		$L(s) = \prod_p F_p(p^{-s})^{-1}$
Label	Origin	\(F_{ 2 }(T)\)	\(F_{ 3 }(T)\)	\(F_{ 5 }(T)\)	\(F_{ 7 }(T)\)
6-8450e3-1.1-c1e3-0-1	Modular form 8450.2.a.br	$( 1 + T )^{3}$	$1 + 2 T^{3} + 27 T^{6}$	$1$	$1 + 3 T + 15 T^{2} + 36 T^{3} + 105 T^{4} + 147 T^{5} + 343 T^{6}$
6-8450e3-1.1-c1e3-0-19	Modular form 8450.2.a.cd	$( 1 - T )^{3}$	$1 + 2 T^{3} + 27 T^{6}$	$1$	$1 - 3 T + 15 T^{2} - 36 T^{3} + 105 T^{4} - 147 T^{5} + 343 T^{6}$