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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	4.4.8957.1	$4$	$8957$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$2$	✓
9.1-a	4.4.8957.1	$4$	$8957$	$[9, 3, w^3 - w^2 - 4 w + 1]$	$9$	$[2, 2, 2, 2]$	$1$
9.1-b	4.4.8957.1	$4$	$8957$	$[9, 3, w^3 - w^2 - 4 w + 1]$	$9$	$[2, 2, 2, 2]$	$1$
9.1-c	4.4.8957.1	$4$	$8957$	$[9, 3, w^3 - w^2 - 4 w + 1]$	$9$	$[2, 2, 2, 2]$	$2$	✓
9.1-d	4.4.8957.1	$4$	$8957$	$[9, 3, w^3 - w^2 - 4 w + 1]$	$9$	$[2, 2, 2, 2]$	$3$	✓
9.2-a	4.4.8957.1	$4$	$8957$	$[9, 3, w^3 - w^2 - 4 w]$	$9$	$[2, 2, 2, 2]$	$2$
9.2-b	4.4.8957.1	$4$	$8957$	$[9, 3, w^3 - w^2 - 4 w]$	$9$	$[2, 2, 2, 2]$	$5$	✓
9.3-a	4.4.8957.1	$4$	$8957$	$[9, 9, w^3 - w^2 - 5 w - 1]$	$9$	$[2, 2, 2, 2]$	$2$
9.3-b	4.4.8957.1	$4$	$8957$	$[9, 9, w^3 - w^2 - 5 w - 1]$	$9$	$[2, 2, 2, 2]$	$2$
9.4-a	4.4.8957.1	$4$	$8957$	$[9,9,w - 2]$	$9$	$[2, 2, 2, 2]$	$2$
9.4-b	4.4.8957.1	$4$	$8957$	$[9,9,w - 2]$	$9$	$[2, 2, 2, 2]$	$2$
13.1-a	4.4.8957.1	$4$	$8957$	$[13, 13, -2 w^3 + w^2 + 11 w + 3]$	$13$	$[2, 2, 2, 2]$	$5$
13.1-b	4.4.8957.1	$4$	$8957$	$[13, 13, -2 w^3 + w^2 + 11 w + 3]$	$13$	$[2, 2, 2, 2]$	$7$
13.2-a	4.4.8957.1	$4$	$8957$	$[13,13,w^2 - 3 w]$	$13$	$[2, 2, 2, 2]$	$5$
13.2-b	4.4.8957.1	$4$	$8957$	$[13,13,w^2 - 3 w]$	$13$	$[2, 2, 2, 2]$	$7$
16.1-a	4.4.8957.1	$4$	$8957$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$	✓
16.1-b	4.4.8957.1	$4$	$8957$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$	✓
16.1-c	4.4.8957.1	$4$	$8957$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$2$
16.1-d	4.4.8957.1	$4$	$8957$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$4$
16.1-e	4.4.8957.1	$4$	$8957$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$6$	✓
23.1-a	4.4.8957.1	$4$	$8957$	$[23, 23, -w^2 + 2]$	$23$	$[2, 2, 2, 2]$	$6$
23.1-b	4.4.8957.1	$4$	$8957$	$[23, 23, -w^2 + 2]$	$23$	$[2, 2, 2, 2]$	$11$
23.2-a	4.4.8957.1	$4$	$8957$	$[23,23,-w^3 + 2 w^2 + 4 w - 4]$	$23$	$[2, 2, 2, 2]$	$6$
23.2-b	4.4.8957.1	$4$	$8957$	$[23,23,-w^3 + 2 w^2 + 4 w - 4]$	$23$	$[2, 2, 2, 2]$	$11$
27.1-a	4.4.8957.1	$4$	$8957$	$[27, 3, -w^3 + 2 w^2 + 3 w - 1]$	$27$	$[2, 2, 2, 2]$	$1$
27.1-b	4.4.8957.1	$4$	$8957$	$[27, 3, -w^3 + 2 w^2 + 3 w - 1]$	$27$	$[2, 2, 2, 2]$	$1$
27.1-c	4.4.8957.1	$4$	$8957$	$[27, 3, -w^3 + 2 w^2 + 3 w - 1]$	$27$	$[2, 2, 2, 2]$	$1$
27.1-d	4.4.8957.1	$4$	$8957$	$[27, 3, -w^3 + 2 w^2 + 3 w - 1]$	$27$	$[2, 2, 2, 2]$	$2$
27.1-e	4.4.8957.1	$4$	$8957$	$[27, 3, -w^3 + 2 w^2 + 3 w - 1]$	$27$	$[2, 2, 2, 2]$	$3$
27.1-f	4.4.8957.1	$4$	$8957$	$[27, 3, -w^3 + 2 w^2 + 3 w - 1]$	$27$	$[2, 2, 2, 2]$	$3$
27.1-g	4.4.8957.1	$4$	$8957$	$[27, 3, -w^3 + 2 w^2 + 3 w - 1]$	$27$	$[2, 2, 2, 2]$	$4$
27.2-a	4.4.8957.1	$4$	$8957$	$[27,3,-w^3 + 5 w + 4]$	$27$	$[2, 2, 2, 2]$	$1$
27.2-b	4.4.8957.1	$4$	$8957$	$[27,3,-w^3 + 5 w + 4]$	$27$	$[2, 2, 2, 2]$	$1$
27.2-c	4.4.8957.1	$4$	$8957$	$[27,3,-w^3 + 5 w + 4]$	$27$	$[2, 2, 2, 2]$	$1$
27.2-d	4.4.8957.1	$4$	$8957$	$[27,3,-w^3 + 5 w + 4]$	$27$	$[2, 2, 2, 2]$	$2$
27.2-e	4.4.8957.1	$4$	$8957$	$[27,3,-w^3 + 5 w + 4]$	$27$	$[2, 2, 2, 2]$	$3$
27.2-f	4.4.8957.1	$4$	$8957$	$[27,3,-w^3 + 5 w + 4]$	$27$	$[2, 2, 2, 2]$	$3$
27.2-g	4.4.8957.1	$4$	$8957$	$[27,3,-w^3 + 5 w + 4]$	$27$	$[2, 2, 2, 2]$	$4$
27.3-a	4.4.8957.1	$4$	$8957$	$[27, 9, w^2 - 4]$	$27$	$[2, 2, 2, 2]$	$1$
27.3-b	4.4.8957.1	$4$	$8957$	$[27, 9, w^2 - 4]$	$27$	$[2, 2, 2, 2]$	$1$
27.3-c	4.4.8957.1	$4$	$8957$	$[27, 9, w^2 - 4]$	$27$	$[2, 2, 2, 2]$	$1$
27.3-d	4.4.8957.1	$4$	$8957$	$[27, 9, w^2 - 4]$	$27$	$[2, 2, 2, 2]$	$1$
27.3-e	4.4.8957.1	$4$	$8957$	$[27, 9, w^2 - 4]$	$27$	$[2, 2, 2, 2]$	$2$
27.3-f	4.4.8957.1	$4$	$8957$	$[27, 9, w^2 - 4]$	$27$	$[2, 2, 2, 2]$	$3$
27.4-a	4.4.8957.1	$4$	$8957$	$[27,9,w^3 - 2 w^2 - 4 w + 2]$	$27$	$[2, 2, 2, 2]$	$1$
27.4-b	4.4.8957.1	$4$	$8957$	$[27,9,w^3 - 2 w^2 - 4 w + 2]$	$27$	$[2, 2, 2, 2]$	$1$
27.4-c	4.4.8957.1	$4$	$8957$	$[27,9,w^3 - 2 w^2 - 4 w + 2]$	$27$	$[2, 2, 2, 2]$	$1$
27.4-d	4.4.8957.1	$4$	$8957$	$[27,9,w^3 - 2 w^2 - 4 w + 2]$	$27$	$[2, 2, 2, 2]$	$1$
27.4-e	4.4.8957.1	$4$	$8957$	$[27,9,w^3 - 2 w^2 - 4 w + 2]$	$27$	$[2, 2, 2, 2]$	$2$
27.4-f	4.4.8957.1	$4$	$8957$	$[27,9,w^3 - 2 w^2 - 4 w + 2]$	$27$	$[2, 2, 2, 2]$	$3$

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