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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	4.4.10512.1	$4$	$10512$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$4$	✓	✓
4.1-a	4.4.10512.1	$4$	$10512$	$[4, 2, w^3 - w^2 - 5 w - 2]$	$4$	$[2, 2, 2, 2]$	$1$
4.1-b	4.4.10512.1	$4$	$10512$	$[4, 2, w^3 - w^2 - 5 w - 2]$	$4$	$[2, 2, 2, 2]$	$1$
4.1-c	4.4.10512.1	$4$	$10512$	$[4, 2, w^3 - w^2 - 5 w - 2]$	$4$	$[2, 2, 2, 2]$	$1$		✓
4.1-d	4.4.10512.1	$4$	$10512$	$[4, 2, w^3 - w^2 - 5 w - 2]$	$4$	$[2, 2, 2, 2]$	$1$		✓
9.1-a	4.4.10512.1	$4$	$10512$	$[9, 3, w^3 - w^2 - 5 w - 1]$	$9$	$[2, 2, 2, 2]$	$4$		✓
9.1-b	4.4.10512.1	$4$	$10512$	$[9, 3, w^3 - w^2 - 5 w - 1]$	$9$	$[2, 2, 2, 2]$	$4$
11.1-a	4.4.10512.1	$4$	$10512$	$[11, 11, -w^3 + w^2 + 6 w + 2]$	$11$	$[2, 2, 2, 2]$	$2$
11.1-b	4.4.10512.1	$4$	$10512$	$[11, 11, -w^3 + w^2 + 6 w + 2]$	$11$	$[2, 2, 2, 2]$	$2$
11.2-a	4.4.10512.1	$4$	$10512$	$[11,11,-w + 1]$	$11$	$[2, 2, 2, 2]$	$2$
11.2-b	4.4.10512.1	$4$	$10512$	$[11,11,-w + 1]$	$11$	$[2, 2, 2, 2]$	$2$
13.1-a	4.4.10512.1	$4$	$10512$	$[13, 13, w^3 - 2 w^2 - 4 w + 2]$	$13$	$[2, 2, 2, 2]$	$6$
13.1-b	4.4.10512.1	$4$	$10512$	$[13, 13, w^3 - 2 w^2 - 4 w + 2]$	$13$	$[2, 2, 2, 2]$	$6$
13.2-a	4.4.10512.1	$4$	$10512$	$[13,13,w^2 - w - 4]$	$13$	$[2, 2, 2, 2]$	$6$
13.2-b	4.4.10512.1	$4$	$10512$	$[13,13,w^2 - w - 4]$	$13$	$[2, 2, 2, 2]$	$6$
16.1-a	4.4.10512.1	$4$	$10512$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$2$	✓
16.1-b	4.4.10512.1	$4$	$10512$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$4$		✓
16.1-c	4.4.10512.1	$4$	$10512$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$4$
23.1-a	4.4.10512.1	$4$	$10512$	$[23, 23, w^2 - 2 w - 2]$	$23$	$[2, 2, 2, 2]$	$2$
23.1-b	4.4.10512.1	$4$	$10512$	$[23, 23, w^2 - 2 w - 2]$	$23$	$[2, 2, 2, 2]$	$2$
23.1-c	4.4.10512.1	$4$	$10512$	$[23, 23, w^2 - 2 w - 2]$	$23$	$[2, 2, 2, 2]$	$6$
23.1-d	4.4.10512.1	$4$	$10512$	$[23, 23, w^2 - 2 w - 2]$	$23$	$[2, 2, 2, 2]$	$6$
23.2-a	4.4.10512.1	$4$	$10512$	$[23, 23, w^3 - w^2 - 6 w - 3]$	$23$	$[2, 2, 2, 2]$	$2$
23.2-b	4.4.10512.1	$4$	$10512$	$[23, 23, w^3 - w^2 - 6 w - 3]$	$23$	$[2, 2, 2, 2]$	$2$
23.2-c	4.4.10512.1	$4$	$10512$	$[23, 23, w^3 - w^2 - 6 w - 3]$	$23$	$[2, 2, 2, 2]$	$4$
23.2-d	4.4.10512.1	$4$	$10512$	$[23, 23, w^3 - w^2 - 6 w - 3]$	$23$	$[2, 2, 2, 2]$	$4$
23.3-a	4.4.10512.1	$4$	$10512$	$[23,23,-w^2 + 2 w + 5]$	$23$	$[2, 2, 2, 2]$	$2$
23.3-b	4.4.10512.1	$4$	$10512$	$[23,23,-w^2 + 2 w + 5]$	$23$	$[2, 2, 2, 2]$	$2$
23.3-c	4.4.10512.1	$4$	$10512$	$[23,23,-w^2 + 2 w + 5]$	$23$	$[2, 2, 2, 2]$	$6$
23.3-d	4.4.10512.1	$4$	$10512$	$[23,23,-w^2 + 2 w + 5]$	$23$	$[2, 2, 2, 2]$	$6$
23.4-a	4.4.10512.1	$4$	$10512$	$[23,23,w - 2]$	$23$	$[2, 2, 2, 2]$	$2$
23.4-b	4.4.10512.1	$4$	$10512$	$[23,23,w - 2]$	$23$	$[2, 2, 2, 2]$	$2$
23.4-c	4.4.10512.1	$4$	$10512$	$[23,23,w - 2]$	$23$	$[2, 2, 2, 2]$	$4$
23.4-d	4.4.10512.1	$4$	$10512$	$[23,23,w - 2]$	$23$	$[2, 2, 2, 2]$	$4$
36.1-a	4.4.10512.1	$4$	$10512$	$[36, 6, -w^3 + w^2 + 5 w + 4]$	$36$	$[2, 2, 2, 2]$	$1$
36.1-b	4.4.10512.1	$4$	$10512$	$[36, 6, -w^3 + w^2 + 5 w + 4]$	$36$	$[2, 2, 2, 2]$	$1$
36.1-c	4.4.10512.1	$4$	$10512$	$[36, 6, -w^3 + w^2 + 5 w + 4]$	$36$	$[2, 2, 2, 2]$	$1$		✓
36.1-d	4.4.10512.1	$4$	$10512$	$[36, 6, -w^3 + w^2 + 5 w + 4]$	$36$	$[2, 2, 2, 2]$	$1$		✓
36.1-e	4.4.10512.1	$4$	$10512$	$[36, 6, -w^3 + w^2 + 5 w + 4]$	$36$	$[2, 2, 2, 2]$	$1$		✓
36.1-f	4.4.10512.1	$4$	$10512$	$[36, 6, -w^3 + w^2 + 5 w + 4]$	$36$	$[2, 2, 2, 2]$	$1$		✓
36.1-g	4.4.10512.1	$4$	$10512$	$[36, 6, -w^3 + w^2 + 5 w + 4]$	$36$	$[2, 2, 2, 2]$	$1$
36.1-h	4.4.10512.1	$4$	$10512$	$[36, 6, -w^3 + w^2 + 5 w + 4]$	$36$	$[2, 2, 2, 2]$	$1$
36.1-i	4.4.10512.1	$4$	$10512$	$[36, 6, -w^3 + w^2 + 5 w + 4]$	$36$	$[2, 2, 2, 2]$	$2$
36.1-j	4.4.10512.1	$4$	$10512$	$[36, 6, -w^3 + w^2 + 5 w + 4]$	$36$	$[2, 2, 2, 2]$	$2$
36.1-k	4.4.10512.1	$4$	$10512$	$[36, 6, -w^3 + w^2 + 5 w + 4]$	$36$	$[2, 2, 2, 2]$	$2$
36.1-l	4.4.10512.1	$4$	$10512$	$[36, 6, -w^3 + w^2 + 5 w + 4]$	$36$	$[2, 2, 2, 2]$	$2$
36.1-m	4.4.10512.1	$4$	$10512$	$[36, 6, -w^3 + w^2 + 5 w + 4]$	$36$	$[2, 2, 2, 2]$	$2$		✓
36.1-n	4.4.10512.1	$4$	$10512$	$[36, 6, -w^3 + w^2 + 5 w + 4]$	$36$	$[2, 2, 2, 2]$	$2$		✓
36.1-o	4.4.10512.1	$4$	$10512$	$[36, 6, -w^3 + w^2 + 5 w + 4]$	$36$	$[2, 2, 2, 2]$	$2$
36.1-p	4.4.10512.1	$4$	$10512$	$[36, 6, -w^3 + w^2 + 5 w + 4]$	$36$	$[2, 2, 2, 2]$	$2$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.