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Base field	Base field degree	Base field discriminant	CM	Field bad primes

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Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	CM	Base change
1.1-a	4.4.4352.1	$4$	$4352$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$2$	✓	✓
8.1-a	4.4.4352.1	$4$	$4352$	$[8, 2, w^3 - 2 w^2 - 4 w + 2]$	$8$	$[2, 2, 2, 2]$	$1$
8.1-b	4.4.4352.1	$4$	$4352$	$[8, 2, w^3 - 2 w^2 - 4 w + 2]$	$8$	$[2, 2, 2, 2]$	$1$
16.1-a	4.4.4352.1	$4$	$4352$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$	✓	✓
16.1-b	4.4.4352.1	$4$	$4352$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$2$		✓
17.1-a	4.4.4352.1	$4$	$4352$	$[17, 17, -w^3 + 2 w^2 + 4 w - 3]$	$17$	$[2, 2, 2, 2]$	$1$		✓
17.1-b	4.4.4352.1	$4$	$4352$	$[17, 17, -w^3 + 2 w^2 + 4 w - 3]$	$17$	$[2, 2, 2, 2]$	$1$		✓
17.1-c	4.4.4352.1	$4$	$4352$	$[17, 17, -w^3 + 2 w^2 + 4 w - 3]$	$17$	$[2, 2, 2, 2]$	$4$
23.1-a	4.4.4352.1	$4$	$4352$	$[23, 23, -2 w^3 + 2 w^2 + 9 w + 1]$	$23$	$[2, 2, 2, 2]$	$2$
23.1-b	4.4.4352.1	$4$	$4352$	$[23, 23, -2 w^3 + 2 w^2 + 9 w + 1]$	$23$	$[2, 2, 2, 2]$	$2$
23.2-a	4.4.4352.1	$4$	$4352$	$[23,23,-w^3 + w^2 + 3 w + 1]$	$23$	$[2, 2, 2, 2]$	$2$
23.2-b	4.4.4352.1	$4$	$4352$	$[23,23,-w^3 + w^2 + 3 w + 1]$	$23$	$[2, 2, 2, 2]$	$2$
28.1-a	4.4.4352.1	$4$	$4352$	$[28, 14, w^2 - 4]$	$28$	$[2, 2, 2, 2]$	$1$
28.1-b	4.4.4352.1	$4$	$4352$	$[28, 14, w^2 - 4]$	$28$	$[2, 2, 2, 2]$	$1$
28.2-a	4.4.4352.1	$4$	$4352$	$[28,14,2 w^3 - 3 w^2 - 8 w + 2]$	$28$	$[2, 2, 2, 2]$	$1$
28.2-b	4.4.4352.1	$4$	$4352$	$[28,14,2 w^3 - 3 w^2 - 8 w + 2]$	$28$	$[2, 2, 2, 2]$	$1$
31.1-a	4.4.4352.1	$4$	$4352$	$[31, 31, w^2 - w - 1]$	$31$	$[2, 2, 2, 2]$	$1$
31.1-b	4.4.4352.1	$4$	$4352$	$[31, 31, w^2 - w - 1]$	$31$	$[2, 2, 2, 2]$	$1$
31.1-c	4.4.4352.1	$4$	$4352$	$[31, 31, w^2 - w - 1]$	$31$	$[2, 2, 2, 2]$	$2$
31.1-d	4.4.4352.1	$4$	$4352$	$[31, 31, w^2 - w - 1]$	$31$	$[2, 2, 2, 2]$	$2$
31.2-a	4.4.4352.1	$4$	$4352$	$[31,31,w^3 - 2 w^2 - 3 w + 5]$	$31$	$[2, 2, 2, 2]$	$1$
31.2-b	4.4.4352.1	$4$	$4352$	$[31,31,w^3 - 2 w^2 - 3 w + 5]$	$31$	$[2, 2, 2, 2]$	$1$
31.2-c	4.4.4352.1	$4$	$4352$	$[31,31,w^3 - 2 w^2 - 3 w + 5]$	$31$	$[2, 2, 2, 2]$	$2$
31.2-d	4.4.4352.1	$4$	$4352$	$[31,31,w^3 - 2 w^2 - 3 w + 5]$	$31$	$[2, 2, 2, 2]$	$2$
32.1-a	4.4.4352.1	$4$	$4352$	$[32, 4, -2 w]$	$32$	$[2, 2, 2, 2]$	$1$
32.1-b	4.4.4352.1	$4$	$4352$	$[32, 4, -2 w]$	$32$	$[2, 2, 2, 2]$	$1$
32.1-c	4.4.4352.1	$4$	$4352$	$[32, 4, -2 w]$	$32$	$[2, 2, 2, 2]$	$1$
32.1-d	4.4.4352.1	$4$	$4352$	$[32, 4, -2 w]$	$32$	$[2, 2, 2, 2]$	$1$
34.1-a	4.4.4352.1	$4$	$4352$	$[34, 34, w^2 - w - 6]$	$34$	$[2, 2, 2, 2]$	$1$
34.1-b	4.4.4352.1	$4$	$4352$	$[34, 34, w^2 - w - 6]$	$34$	$[2, 2, 2, 2]$	$1$		✓
34.1-c	4.4.4352.1	$4$	$4352$	$[34, 34, w^2 - w - 6]$	$34$	$[2, 2, 2, 2]$	$1$
34.1-d	4.4.4352.1	$4$	$4352$	$[34, 34, w^2 - w - 6]$	$34$	$[2, 2, 2, 2]$	$1$
34.1-e	4.4.4352.1	$4$	$4352$	$[34, 34, w^2 - w - 6]$	$34$	$[2, 2, 2, 2]$	$1$		✓
34.1-f	4.4.4352.1	$4$	$4352$	$[34, 34, w^2 - w - 6]$	$34$	$[2, 2, 2, 2]$	$1$
41.1-a	4.4.4352.1	$4$	$4352$	$[41, 41, w^3 - 3 w^2 - 2 w + 7]$	$41$	$[2, 2, 2, 2]$	$1$
41.1-b	4.4.4352.1	$4$	$4352$	$[41, 41, w^3 - 3 w^2 - 2 w + 7]$	$41$	$[2, 2, 2, 2]$	$1$
41.1-c	4.4.4352.1	$4$	$4352$	$[41, 41, w^3 - 3 w^2 - 2 w + 7]$	$41$	$[2, 2, 2, 2]$	$1$
41.1-d	4.4.4352.1	$4$	$4352$	$[41, 41, w^3 - 3 w^2 - 2 w + 7]$	$41$	$[2, 2, 2, 2]$	$1$
41.1-e	4.4.4352.1	$4$	$4352$	$[41, 41, w^3 - 3 w^2 - 2 w + 7]$	$41$	$[2, 2, 2, 2]$	$8$
41.2-a	4.4.4352.1	$4$	$4352$	$[41,41,-w^3 + 3 w^2 + 2 w - 5]$	$41$	$[2, 2, 2, 2]$	$1$
41.2-b	4.4.4352.1	$4$	$4352$	$[41,41,-w^3 + 3 w^2 + 2 w - 5]$	$41$	$[2, 2, 2, 2]$	$1$
41.2-c	4.4.4352.1	$4$	$4352$	$[41,41,-w^3 + 3 w^2 + 2 w - 5]$	$41$	$[2, 2, 2, 2]$	$1$
41.2-d	4.4.4352.1	$4$	$4352$	$[41,41,-w^3 + 3 w^2 + 2 w - 5]$	$41$	$[2, 2, 2, 2]$	$1$
41.2-e	4.4.4352.1	$4$	$4352$	$[41,41,-w^3 + 3 w^2 + 2 w - 5]$	$41$	$[2, 2, 2, 2]$	$8$
46.1-a	4.4.4352.1	$4$	$4352$	$[46, 46, -2 w^3 + 3 w^2 + 7 w - 4]$	$46$	$[2, 2, 2, 2]$	$1$
46.1-b	4.4.4352.1	$4$	$4352$	$[46, 46, -2 w^3 + 3 w^2 + 7 w - 4]$	$46$	$[2, 2, 2, 2]$	$1$
46.1-c	4.4.4352.1	$4$	$4352$	$[46, 46, -2 w^3 + 3 w^2 + 7 w - 4]$	$46$	$[2, 2, 2, 2]$	$1$
46.1-d	4.4.4352.1	$4$	$4352$	$[46, 46, -2 w^3 + 3 w^2 + 7 w - 4]$	$46$	$[2, 2, 2, 2]$	$1$
46.1-e	4.4.4352.1	$4$	$4352$	$[46, 46, -2 w^3 + 3 w^2 + 7 w - 4]$	$46$	$[2, 2, 2, 2]$	$2$
46.1-f	4.4.4352.1	$4$	$4352$	$[46, 46, -2 w^3 + 3 w^2 + 7 w - 4]$	$46$	$[2, 2, 2, 2]$	$2$

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