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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
100003.2.a.a	$100003$	$2$	100003.a	1.a	$1$	$4128$	$4128$	$798.528$		None	✓	✓	✓	✓	100003.2.a.a	$1$		\(-148\)	\(-126\)	\(-406\)	\(-86\)	$+$		$\mathrm{SU}(2)$
100003.2.a.b	$100003$	$2$	100003.a	1.a	$1$	$4205$	$4205$	$798.528$		None	✓	✓	✓	✓	100003.2.a.b	$1$		\(146\)	\(124\)	\(406\)	\(82\)	$-$		$\mathrm{SU}(2)$
100019.2.a.a	$100019$	$2$	100019.a	1.a	$1$	$3975$	$3975$	$798.656$		None	✓	✓	✓	✓	100019.2.a.a	$1$		\(-58\)	\(-71\)	\(-159\)	\(-124\)	$+$		$\mathrm{SU}(2)$
100019.2.a.b	$100019$	$2$	100019.a	1.a	$1$	$4360$	$4360$	$798.656$		None	✓	✓	✓	✓	100019.2.a.b	$1$		\(58\)	\(71\)	\(163\)	\(126\)	$-$		$\mathrm{SU}(2)$
100043.2.a.a	$100043$	$2$	100043.a	1.a	$1$	$4086$	$4086$	$798.847$		None	✓	✓	✓	✓	100043.2.a.a	$1$		\(-84\)	\(-66\)	\(-178\)	\(-326\)	$+$		$\mathrm{SU}(2)$
100043.2.a.b	$100043$	$2$	100043.a	1.a	$1$	$4251$	$4251$	$798.847$		None	✓	✓	✓	✓	100043.2.a.b	$1$		\(84\)	\(64\)	\(178\)	\(328\)	$-$		$\mathrm{SU}(2)$
100049.2.a.a	$100049$	$2$	100049.a	1.a	$1$	$4027$	$4027$	$798.895$		None	✓	✓	✓	✓	100049.2.a.a	$1$		\(-49\)	\(-73\)	\(-61\)	\(-386\)	$+$		$\mathrm{SU}(2)$
100049.2.a.b	$100049$	$2$	100049.a	1.a	$1$	$4310$	$4310$	$798.895$		None	✓	✓	✓	✓	100049.2.a.b	$1$		\(48\)	\(71\)	\(57\)	\(392\)	$-$		$\mathrm{SU}(2)$
100057.2.a.a	$100057$	$2$	100057.a	1.a	$1$	$4127$	$4127$	$798.959$		None	✓	✓	✓	✓	100057.2.a.a	$1$		\(-132\)	\(-140\)	\(-117\)	\(-313\)	$+$		$\mathrm{SU}(2)$
100057.2.a.b	$100057$	$2$	100057.a	1.a	$1$	$4210$	$4210$	$798.959$		None	✓	✓	✓	✓	100057.2.a.b	$1$		\(131\)	\(136\)	\(115\)	\(309\)	$-$		$\mathrm{SU}(2)$
100069.2.a.a	$100069$	$2$	100069.a	1.a	$1$	$4128$	$4128$	$799.055$		None	✓	✓	✓	✓	100069.2.a.a	$1$		\(-63\)	\(-196\)	\(-222\)	\(-117\)	$+$		$\mathrm{SU}(2)$
100069.2.a.b	$100069$	$2$	100069.a	1.a	$1$	$4210$	$4210$	$799.055$		None	✓	✓	✓	✓	100069.2.a.b	$1$		\(61\)	\(196\)	\(220\)	\(115\)	$-$		$\mathrm{SU}(2)$
100103.2.a.a	$100103$	$2$	100103.a	1.a	$1$	$4032$	$4032$	$799.326$		None	✓	✓	✓	✓	100103.2.a.a	$1$		\(-79\)	\(-108\)	\(-72\)	\(-264\)	$+$		$\mathrm{SU}(2)$
100103.2.a.b	$100103$	$2$	100103.a	1.a	$1$	$4310$	$4310$	$799.326$		None	✓	✓	✓	✓	100103.2.a.b	$1$		\(80\)	\(108\)	\(70\)	\(268\)	$-$		$\mathrm{SU}(2)$
100109.2.a.a	$100109$	$2$	100109.a	1.a	$1$	$1$	$1$	$799.374$	\(\Q\)	None	✓	✓			100109.2.a.a	$1$		\(0\)	\(-2\)	\(1\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-2q^{4}+q^{5}-q^{7}+q^{9}+4q^{11}+\cdots\)
100109.2.a.b	$100109$	$2$	100109.a	1.a	$1$	$4096$	$4096$	$799.374$		None	✓	✓	✓	✓	100109.2.a.b	$1$		\(-42\)	\(-139\)	\(-72\)	\(-201\)	$+$		$\mathrm{SU}(2)$
100109.2.a.c	$100109$	$2$	100109.a	1.a	$1$	$4245$	$4245$	$799.374$		None	✓	✓	✓		100109.2.a.c	$1$		\(40\)	\(141\)	\(65\)	\(200\)	$-$		$\mathrm{SU}(2)$
100129.2.a.a	$100129$	$2$	100129.a	1.a	$1$	$4114$	$4114$	$799.534$		None	✓	✓	✓	✓	100129.2.a.a	$1$		\(-74\)	\(-139\)	\(-166\)	\(-139\)	$+$		$\mathrm{SU}(2)$
100129.2.a.b	$100129$	$2$	100129.a	1.a	$1$	$4229$	$4229$	$799.534$		None	✓	✓	✓	✓	100129.2.a.b	$1$		\(71\)	\(137\)	\(164\)	\(133\)	$-$		$\mathrm{SU}(2)$
100151.2.a.a	$100151$	$2$	100151.a	1.a	$1$	$3973$	$3973$	$799.710$		None	✓	✓	✓	✓	100151.2.a.a	$1$		\(-38\)	\(-95\)	\(-127\)	\(-144\)	$+$		$\mathrm{SU}(2)$
100151.2.a.b	$100151$	$2$	100151.a	1.a	$1$	$4373$	$4373$	$799.710$		None	✓	✓	✓	✓	100151.2.a.b	$1$		\(37\)	\(97\)	\(131\)	\(148\)	$-$		$\mathrm{SU}(2)$
100153.2.a.a	$100153$	$2$	100153.a	1.a	$1$	$4144$	$4144$	$799.726$		None	✓	✓	✓	✓	100153.2.a.a	$1$		\(-132\)	\(-200\)	\(-170\)	\(-282\)	$+$		$\mathrm{SU}(2)$
100153.2.a.b	$100153$	$2$	100153.a	1.a	$1$	$4201$	$4201$	$799.726$		None	✓	✓	✓	✓	100153.2.a.b	$1$		\(129\)	\(196\)	\(166\)	\(274\)	$-$		$\mathrm{SU}(2)$
100169.2.a.a	$100169$	$2$	100169.a	1.a	$1$	$1$	$1$	$799.853$	\(\Q\)	None	✓	✓			100169.2.a.a	$1$		\(-1\)	\(0\)	\(3\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+3q^{5}-3q^{7}+3q^{8}-3q^{9}+\cdots\)
100169.2.a.b	$100169$	$2$	100169.a	1.a	$1$	$4084$	$4084$	$799.853$		None	✓	✓	✓	✓	100169.2.a.b	$1$		\(-50\)	\(-89\)	\(-54\)	\(-341\)	$+$		$\mathrm{SU}(2)$
100169.2.a.c	$100169$	$2$	100169.a	1.a	$1$	$4262$	$4262$	$799.853$		None	✓	✓	✓		100169.2.a.c	$1$		\(50\)	\(87\)	\(45\)	\(348\)	$-$		$\mathrm{SU}(2)$
100183.2.a.a	$100183$	$2$	100183.a	1.a	$1$	$4091$	$4091$	$799.965$		None	✓	✓	✓	✓	100183.2.a.a	$1$		\(-165\)	\(-81\)	\(-222\)	\(-128\)	$+$		$\mathrm{SU}(2)$
100183.2.a.b	$100183$	$2$	100183.a	1.a	$1$	$4257$	$4257$	$799.965$		None	✓	✓	✓	✓	100183.2.a.b	$1$		\(166\)	\(81\)	\(224\)	\(124\)	$-$		$\mathrm{SU}(2)$
100189.2.a.a	$100189$	$2$	100189.a	1.a	$1$	$4126$	$4126$	$800.013$		None	✓	✓	✓	✓	100189.2.a.a	$1$		\(-102\)	\(-89\)	\(-159\)	\(-134\)	$+$		$\mathrm{SU}(2)$
100189.2.a.b	$100189$	$2$	100189.a	1.a	$1$	$4222$	$4222$	$800.013$		None	✓	✓	✓	✓	100189.2.a.b	$1$		\(102\)	\(87\)	\(155\)	\(134\)	$-$		$\mathrm{SU}(2)$
100193.2.a.a	$100193$	$2$	100193.a	1.a	$1$	$4136$	$4136$	$800.045$		None	✓	✓	✓	✓	100193.2.a.a	$1$		\(-67\)	\(-193\)	\(-88\)	\(-547\)	$+$		$\mathrm{SU}(2)$
100193.2.a.b	$100193$	$2$	100193.a	1.a	$1$	$4213$	$4213$	$800.045$		None	✓	✓	✓	✓	100193.2.a.b	$1$		\(64\)	\(191\)	\(84\)	\(549\)	$-$		$\mathrm{SU}(2)$
100207.2.a.a	$100207$	$2$	100207.a	1.a	$1$	$4109$	$4109$	$800.157$		None	✓	✓	✓	✓	100207.2.a.a	$1$		\(-117\)	\(-165\)	\(-223\)	\(-90\)	$+$		$\mathrm{SU}(2)$
100207.2.a.b	$100207$	$2$	100207.a	1.a	$1$	$4241$	$4241$	$800.157$		None	✓	✓	✓	✓	100207.2.a.b	$1$		\(116\)	\(165\)	\(223\)	\(82\)	$-$		$\mathrm{SU}(2)$
100213.2.a.a	$100213$	$2$	100213.a	1.a	$1$	$4148$	$4148$	$800.205$		None	✓	✓	✓	✓	100213.2.a.a	$1$		\(-145\)	\(-223\)	\(-153\)	\(-162\)	$+$		$\mathrm{SU}(2)$
100213.2.a.b	$100213$	$2$	100213.a	1.a	$1$	$4202$	$4202$	$800.205$		None	✓	✓	✓	✓	100213.2.a.b	$1$		\(143\)	\(221\)	\(149\)	\(158\)	$-$		$\mathrm{SU}(2)$
100237.2.a.a	$100237$	$2$	100237.a	1.a	$1$	$4152$	$4152$	$800.396$		None	✓	✓	✓	✓	100237.2.a.a	$1$		\(-101\)	\(-249\)	\(-244\)	\(-237\)	$+$		$\mathrm{SU}(2)$
100237.2.a.b	$100237$	$2$	100237.a	1.a	$1$	$4200$	$4200$	$800.396$		None	✓	✓	✓	✓	100237.2.a.b	$1$		\(99\)	\(247\)	\(242\)	\(235\)	$-$		$\mathrm{SU}(2)$
100267.2.a.a	$100267$	$2$	100267.a	1.a	$1$	$4125$	$4125$	$800.636$		None	✓	✓	✓	✓	100267.2.a.a	$1$		\(-189\)	\(-92\)	\(-250\)	\(-108\)	$+$		$\mathrm{SU}(2)$
100267.2.a.b	$100267$	$2$	100267.a	1.a	$1$	$4230$	$4230$	$800.636$		None	✓	✓	✓	✓	100267.2.a.b	$1$		\(189\)	\(90\)	\(250\)	\(106\)	$-$		$\mathrm{SU}(2)$
100271.2.a.a	$100271$	$2$	100271.a	1.a	$1$	$3951$	$3951$	$800.668$		None	✓	✓	✓	✓	100271.2.a.a	$1$		\(-48\)	\(-79\)	\(-135\)	\(-193\)	$+$		$\mathrm{SU}(2)$
100271.2.a.b	$100271$	$2$	100271.a	1.a	$1$	$4405$	$4405$	$800.668$		None	✓	✓	✓	✓	100271.2.a.b	$1$		\(49\)	\(81\)	\(139\)	\(199\)	$-$		$\mathrm{SU}(2)$
100279.2.a.a	$100279$	$2$	100279.a	1.a	$1$	$4096$	$4096$	$800.732$		None	✓	✓	✓	✓	100279.2.a.a	$1$		\(-78\)	\(-106\)	\(-173\)	\(-70\)	$+$		$\mathrm{SU}(2)$
100279.2.a.b	$100279$	$2$	100279.a	1.a	$1$	$4260$	$4260$	$800.732$		None	✓	✓	✓	✓	100279.2.a.b	$1$		\(77\)	\(104\)	\(173\)	\(62\)	$-$		$\mathrm{SU}(2)$
100291.2.a.a	$100291$	$2$	100291.a	1.a	$1$	$4118$	$4118$	$800.828$		None	✓	✓	✓	✓	100291.2.a.a	$1$		\(-99\)	\(-87\)	\(-307\)	\(-92\)	$+$		$\mathrm{SU}(2)$
100291.2.a.b	$100291$	$2$	100291.a	1.a	$1$	$4239$	$4239$	$800.828$		None	✓	✓	✓	✓	100291.2.a.b	$1$		\(97\)	\(83\)	\(307\)	\(88\)	$-$		$\mathrm{SU}(2)$
100297.2.a.a	$100297$	$2$	100297.a	1.a	$1$	$4149$	$4149$	$800.876$		None	✓	✓	✓	✓	100297.2.a.a	$1$		\(-113\)	\(-211\)	\(-252\)	\(-295\)	$+$		$\mathrm{SU}(2)$
100297.2.a.b	$100297$	$2$	100297.a	1.a	$1$	$4208$	$4208$	$800.876$		None	✓	✓	✓	✓	100297.2.a.b	$1$		\(110\)	\(209\)	\(252\)	\(289\)	$-$		$\mathrm{SU}(2)$
100313.2.a.a	$100313$	$2$	100313.a	1.a	$1$	$4105$	$4105$	$801.003$		None	✓	✓	✓	✓	100313.2.a.a	$1$		\(-97\)	\(-101\)	\(-65\)	\(-562\)	$+$		$\mathrm{SU}(2)$
100313.2.a.b	$100313$	$2$	100313.a	1.a	$1$	$4254$	$4254$	$801.003$		None	✓	✓	✓	✓	100313.2.a.b	$1$		\(96\)	\(99\)	\(63\)	\(568\)	$-$		$\mathrm{SU}(2)$

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