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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	Base change
1.1-a	4.4.16448.2	$4$	$16448$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$6$	✓
2.1-a	4.4.16448.2	$4$	$16448$	$[2, 2, w^3 - 3 w^2 - 3 w + 10]$	$2$	$[2, 2, 2, 2]$	$1$
2.2-a	4.4.16448.2	$4$	$16448$	$[2,2,-w^3 + 6 w + 5]$	$2$	$[2, 2, 2, 2]$	$1$
4.1-a	4.4.16448.2	$4$	$16448$	$[4, 2, -w^2 + 4]$	$4$	$[2, 2, 2, 2]$	$3$
4.2-a	4.4.16448.2	$4$	$16448$	$[4, 2, w^2 - w - 4]$	$4$	$[2, 2, 2, 2]$	$1$	✓
4.2-b	4.4.16448.2	$4$	$16448$	$[4, 2, w^2 - w - 4]$	$4$	$[2, 2, 2, 2]$	$1$	✓
4.2-c	4.4.16448.2	$4$	$16448$	$[4, 2, w^2 - w - 4]$	$4$	$[2, 2, 2, 2]$	$1$
4.2-d	4.4.16448.2	$4$	$16448$	$[4, 2, w^2 - w - 4]$	$4$	$[2, 2, 2, 2]$	$1$	✓
4.2-e	4.4.16448.2	$4$	$16448$	$[4, 2, w^2 - w - 4]$	$4$	$[2, 2, 2, 2]$	$1$
4.2-f	4.4.16448.2	$4$	$16448$	$[4, 2, w^2 - w - 4]$	$4$	$[2, 2, 2, 2]$	$2$	✓
4.3-a	4.4.16448.2	$4$	$16448$	$[4,2,-w^2 + 2 w + 3]$	$4$	$[2, 2, 2, 2]$	$3$
7.1-a	4.4.16448.2	$4$	$16448$	$[7, 7, -w^3 + 3 w^2 + 2 w - 7]$	$7$	$[2, 2, 2, 2]$	$2$
7.1-b	4.4.16448.2	$4$	$16448$	$[7, 7, -w^3 + 3 w^2 + 2 w - 7]$	$7$	$[2, 2, 2, 2]$	$5$
7.1-c	4.4.16448.2	$4$	$16448$	$[7, 7, -w^3 + 3 w^2 + 2 w - 7]$	$7$	$[2, 2, 2, 2]$	$8$
7.2-a	4.4.16448.2	$4$	$16448$	$[7,7,w^3 - 5 w - 3]$	$7$	$[2, 2, 2, 2]$	$2$
7.2-b	4.4.16448.2	$4$	$16448$	$[7,7,w^3 - 5 w - 3]$	$7$	$[2, 2, 2, 2]$	$5$
7.2-c	4.4.16448.2	$4$	$16448$	$[7,7,w^3 - 5 w - 3]$	$7$	$[2, 2, 2, 2]$	$8$
8.1-a	4.4.16448.2	$4$	$16448$	$[8, 2, -w^3 + 3 w^2 + 4 w - 12]$	$8$	$[2, 2, 2, 2]$	$1$
8.1-b	4.4.16448.2	$4$	$16448$	$[8, 2, -w^3 + 3 w^2 + 4 w - 12]$	$8$	$[2, 2, 2, 2]$	$1$
8.2-a	4.4.16448.2	$4$	$16448$	$[8,2,w^3 - 7 w - 6]$	$8$	$[2, 2, 2, 2]$	$1$
8.2-b	4.4.16448.2	$4$	$16448$	$[8,2,w^3 - 7 w - 6]$	$8$	$[2, 2, 2, 2]$	$1$
8.3-a	4.4.16448.2	$4$	$16448$	$[8, 4, w^2 - 2 w - 2]$	$8$	$[2, 2, 2, 2]$	$3$
8.3-b	4.4.16448.2	$4$	$16448$	$[8, 4, w^2 - 2 w - 2]$	$8$	$[2, 2, 2, 2]$	$5$
8.4-a	4.4.16448.2	$4$	$16448$	$[8,4,w^2 - 3]$	$8$	$[2, 2, 2, 2]$	$3$
8.4-b	4.4.16448.2	$4$	$16448$	$[8,4,w^2 - 3]$	$8$	$[2, 2, 2, 2]$	$5$
14.1-a	4.4.16448.2	$4$	$16448$	$[14, 14, w]$	$14$	$[2, 2, 2, 2]$	$1$
14.1-b	4.4.16448.2	$4$	$16448$	$[14, 14, w]$	$14$	$[2, 2, 2, 2]$	$1$
14.1-c	4.4.16448.2	$4$	$16448$	$[14, 14, w]$	$14$	$[2, 2, 2, 2]$	$2$
14.1-d	4.4.16448.2	$4$	$16448$	$[14, 14, w]$	$14$	$[2, 2, 2, 2]$	$2$
14.1-e	4.4.16448.2	$4$	$16448$	$[14, 14, w]$	$14$	$[2, 2, 2, 2]$	$3$
14.1-f	4.4.16448.2	$4$	$16448$	$[14, 14, w]$	$14$	$[2, 2, 2, 2]$	$5$
14.1-g	4.4.16448.2	$4$	$16448$	$[14, 14, w]$	$14$	$[2, 2, 2, 2]$	$7$
14.2-a	4.4.16448.2	$4$	$16448$	$[14, 14, -w^3 + w^2 + 5 w + 2]$	$14$	$[2, 2, 2, 2]$	$1$
14.2-b	4.4.16448.2	$4$	$16448$	$[14, 14, -w^3 + w^2 + 5 w + 2]$	$14$	$[2, 2, 2, 2]$	$2$
14.2-c	4.4.16448.2	$4$	$16448$	$[14, 14, -w^3 + w^2 + 5 w + 2]$	$14$	$[2, 2, 2, 2]$	$2$
14.2-d	4.4.16448.2	$4$	$16448$	$[14, 14, -w^3 + w^2 + 5 w + 2]$	$14$	$[2, 2, 2, 2]$	$3$
14.2-e	4.4.16448.2	$4$	$16448$	$[14, 14, -w^3 + w^2 + 5 w + 2]$	$14$	$[2, 2, 2, 2]$	$5$
14.2-f	4.4.16448.2	$4$	$16448$	$[14, 14, -w^3 + w^2 + 5 w + 2]$	$14$	$[2, 2, 2, 2]$	$8$
14.3-a	4.4.16448.2	$4$	$16448$	$[14,14,w^3 - 2 w^2 - 4 w + 7]$	$14$	$[2, 2, 2, 2]$	$1$
14.3-b	4.4.16448.2	$4$	$16448$	$[14,14,w^3 - 2 w^2 - 4 w + 7]$	$14$	$[2, 2, 2, 2]$	$2$
14.3-c	4.4.16448.2	$4$	$16448$	$[14,14,w^3 - 2 w^2 - 4 w + 7]$	$14$	$[2, 2, 2, 2]$	$2$
14.3-d	4.4.16448.2	$4$	$16448$	$[14,14,w^3 - 2 w^2 - 4 w + 7]$	$14$	$[2, 2, 2, 2]$	$3$
14.3-e	4.4.16448.2	$4$	$16448$	$[14,14,w^3 - 2 w^2 - 4 w + 7]$	$14$	$[2, 2, 2, 2]$	$5$
14.3-f	4.4.16448.2	$4$	$16448$	$[14,14,w^3 - 2 w^2 - 4 w + 7]$	$14$	$[2, 2, 2, 2]$	$8$
14.4-a	4.4.16448.2	$4$	$16448$	$[14,14,-w + 1]$	$14$	$[2, 2, 2, 2]$	$1$
14.4-b	4.4.16448.2	$4$	$16448$	$[14,14,-w + 1]$	$14$	$[2, 2, 2, 2]$	$1$
14.4-c	4.4.16448.2	$4$	$16448$	$[14,14,-w + 1]$	$14$	$[2, 2, 2, 2]$	$2$
14.4-d	4.4.16448.2	$4$	$16448$	$[14,14,-w + 1]$	$14$	$[2, 2, 2, 2]$	$2$
14.4-e	4.4.16448.2	$4$	$16448$	$[14,14,-w + 1]$	$14$	$[2, 2, 2, 2]$	$3$
14.4-f	4.4.16448.2	$4$	$16448$	$[14,14,-w + 1]$	$14$	$[2, 2, 2, 2]$	$5$

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