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Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension
7.1-a	5.5.70601.1	$5$	$70601$	$[7, 7, w^4 - 6 w^2 - 2 w + 4]$	$7$	$[2, 2, 2, 2, 2]$	$1$
7.1-b	5.5.70601.1	$5$	$70601$	$[7, 7, w^4 - 6 w^2 - 2 w + 4]$	$7$	$[2, 2, 2, 2, 2]$	$2$
9.1-a	5.5.70601.1	$5$	$70601$	$[9, 3, -w^4 + w^3 + 5 w^2 - w - 4]$	$9$	$[2, 2, 2, 2, 2]$	$1$
9.1-b	5.5.70601.1	$5$	$70601$	$[9, 3, -w^4 + w^3 + 5 w^2 - w - 4]$	$9$	$[2, 2, 2, 2, 2]$	$1$
9.1-c	5.5.70601.1	$5$	$70601$	$[9, 3, -w^4 + w^3 + 5 w^2 - w - 4]$	$9$	$[2, 2, 2, 2, 2]$	$1$
11.1-a	5.5.70601.1	$5$	$70601$	$[11, 11, -2 w^4 + w^3 + 10 w^2 + w - 3]$	$11$	$[2, 2, 2, 2, 2]$	$2$
11.1-b	5.5.70601.1	$5$	$70601$	$[11, 11, -2 w^4 + w^3 + 10 w^2 + w - 3]$	$11$	$[2, 2, 2, 2, 2]$	$4$
11.2-a	5.5.70601.1	$5$	$70601$	$[11, 11, w^4 - 6 w^2 - 3 w + 3]$	$11$	$[2, 2, 2, 2, 2]$	$1$
11.2-b	5.5.70601.1	$5$	$70601$	$[11, 11, w^4 - 6 w^2 - 3 w + 3]$	$11$	$[2, 2, 2, 2, 2]$	$1$
11.2-c	5.5.70601.1	$5$	$70601$	$[11, 11, w^4 - 6 w^2 - 3 w + 3]$	$11$	$[2, 2, 2, 2, 2]$	$2$
11.2-d	5.5.70601.1	$5$	$70601$	$[11, 11, w^4 - 6 w^2 - 3 w + 3]$	$11$	$[2, 2, 2, 2, 2]$	$2$
17.1-a	5.5.70601.1	$5$	$70601$	$[17, 17, w^2 - 2]$	$17$	$[2, 2, 2, 2, 2]$	$1$
17.1-b	5.5.70601.1	$5$	$70601$	$[17, 17, w^2 - 2]$	$17$	$[2, 2, 2, 2, 2]$	$6$
23.1-a	5.5.70601.1	$5$	$70601$	$[23, 23, -w^3 + w^2 + 3 w]$	$23$	$[2, 2, 2, 2, 2]$	$1$
23.1-b	5.5.70601.1	$5$	$70601$	$[23, 23, -w^3 + w^2 + 3 w]$	$23$	$[2, 2, 2, 2, 2]$	$3$
23.1-c	5.5.70601.1	$5$	$70601$	$[23, 23, -w^3 + w^2 + 3 w]$	$23$	$[2, 2, 2, 2, 2]$	$7$
27.1-a	5.5.70601.1	$5$	$70601$	$[27, 3, w^4 - w^3 - 4 w^2 + 2 w - 1]$	$27$	$[2, 2, 2, 2, 2]$	$2$
27.1-b	5.5.70601.1	$5$	$70601$	$[27, 3, w^4 - w^3 - 4 w^2 + 2 w - 1]$	$27$	$[2, 2, 2, 2, 2]$	$4$
27.1-c	5.5.70601.1	$5$	$70601$	$[27, 3, w^4 - w^3 - 4 w^2 + 2 w - 1]$	$27$	$[2, 2, 2, 2, 2]$	$6$
29.1-a	5.5.70601.1	$5$	$70601$	$[29, 29, 2 w^4 - 2 w^3 - 9 w^2 + 2 w + 3]$	$29$	$[2, 2, 2, 2, 2]$	$1$
29.1-b	5.5.70601.1	$5$	$70601$	$[29, 29, 2 w^4 - 2 w^3 - 9 w^2 + 2 w + 3]$	$29$	$[2, 2, 2, 2, 2]$	$2$
29.1-c	5.5.70601.1	$5$	$70601$	$[29, 29, 2 w^4 - 2 w^3 - 9 w^2 + 2 w + 3]$	$29$	$[2, 2, 2, 2, 2]$	$4$
29.1-d	5.5.70601.1	$5$	$70601$	$[29, 29, 2 w^4 - 2 w^3 - 9 w^2 + 2 w + 3]$	$29$	$[2, 2, 2, 2, 2]$	$5$
32.1-a	5.5.70601.1	$5$	$70601$	$[32, 2, -2]$	$32$	$[2, 2, 2, 2, 2]$	$1$
32.1-b	5.5.70601.1	$5$	$70601$	$[32, 2, -2]$	$32$	$[2, 2, 2, 2, 2]$	$1$
32.1-c	5.5.70601.1	$5$	$70601$	$[32, 2, -2]$	$32$	$[2, 2, 2, 2, 2]$	$1$
32.1-d	5.5.70601.1	$5$	$70601$	$[32, 2, -2]$	$32$	$[2, 2, 2, 2, 2]$	$1$
32.1-e	5.5.70601.1	$5$	$70601$	$[32, 2, -2]$	$32$	$[2, 2, 2, 2, 2]$	$10$
47.1-a	5.5.70601.1	$5$	$70601$	$[47, 47, w^4 - 2 w^3 - 3 w^2 + 5 w]$	$47$	$[2, 2, 2, 2, 2]$	$1$
47.1-b	5.5.70601.1	$5$	$70601$	$[47, 47, w^4 - 2 w^3 - 3 w^2 + 5 w]$	$47$	$[2, 2, 2, 2, 2]$	$1$
47.1-c	5.5.70601.1	$5$	$70601$	$[47, 47, w^4 - 2 w^3 - 3 w^2 + 5 w]$	$47$	$[2, 2, 2, 2, 2]$	$2$
47.1-d	5.5.70601.1	$5$	$70601$	$[47, 47, w^4 - 2 w^3 - 3 w^2 + 5 w]$	$47$	$[2, 2, 2, 2, 2]$	$6$
47.1-e	5.5.70601.1	$5$	$70601$	$[47, 47, w^4 - 2 w^3 - 3 w^2 + 5 w]$	$47$	$[2, 2, 2, 2, 2]$	$11$
47.2-a	5.5.70601.1	$5$	$70601$	$[47, 47, w^3 - w^2 - 4 w - 1]$	$47$	$[2, 2, 2, 2, 2]$	$1$
47.2-b	5.5.70601.1	$5$	$70601$	$[47, 47, w^3 - w^2 - 4 w - 1]$	$47$	$[2, 2, 2, 2, 2]$	$1$
47.2-c	5.5.70601.1	$5$	$70601$	$[47, 47, w^3 - w^2 - 4 w - 1]$	$47$	$[2, 2, 2, 2, 2]$	$1$
47.2-d	5.5.70601.1	$5$	$70601$	$[47, 47, w^3 - w^2 - 4 w - 1]$	$47$	$[2, 2, 2, 2, 2]$	$2$
47.2-e	5.5.70601.1	$5$	$70601$	$[47, 47, w^3 - w^2 - 4 w - 1]$	$47$	$[2, 2, 2, 2, 2]$	$3$
47.2-f	5.5.70601.1	$5$	$70601$	$[47, 47, w^3 - w^2 - 4 w - 1]$	$47$	$[2, 2, 2, 2, 2]$	$4$
47.2-g	5.5.70601.1	$5$	$70601$	$[47, 47, w^3 - w^2 - 4 w - 1]$	$47$	$[2, 2, 2, 2, 2]$	$9$
49.1-a	5.5.70601.1	$5$	$70601$	$[49, 49, w^4 - w^3 - 5 w^2 + 3 w + 2]$	$49$	$[2, 2, 2, 2, 2]$	$1$
49.1-b	5.5.70601.1	$5$	$70601$	$[49, 49, w^4 - w^3 - 5 w^2 + 3 w + 2]$	$49$	$[2, 2, 2, 2, 2]$	$1$
49.1-c	5.5.70601.1	$5$	$70601$	$[49, 49, w^4 - w^3 - 5 w^2 + 3 w + 2]$	$49$	$[2, 2, 2, 2, 2]$	$1$
49.1-d	5.5.70601.1	$5$	$70601$	$[49, 49, w^4 - w^3 - 5 w^2 + 3 w + 2]$	$49$	$[2, 2, 2, 2, 2]$	$2$
49.1-e	5.5.70601.1	$5$	$70601$	$[49, 49, w^4 - w^3 - 5 w^2 + 3 w + 2]$	$49$	$[2, 2, 2, 2, 2]$	$2$
49.1-f	5.5.70601.1	$5$	$70601$	$[49, 49, w^4 - w^3 - 5 w^2 + 3 w + 2]$	$49$	$[2, 2, 2, 2, 2]$	$3$
49.1-g	5.5.70601.1	$5$	$70601$	$[49, 49, w^4 - w^3 - 5 w^2 + 3 w + 2]$	$49$	$[2, 2, 2, 2, 2]$	$3$
49.1-h	5.5.70601.1	$5$	$70601$	$[49, 49, w^4 - w^3 - 5 w^2 + 3 w + 2]$	$49$	$[2, 2, 2, 2, 2]$	$4$
53.1-a	5.5.70601.1	$5$	$70601$	$[53, 53, -w^4 + 7 w^2 - 3]$	$53$	$[2, 2, 2, 2, 2]$	$1$
53.1-b	5.5.70601.1	$5$	$70601$	$[53, 53, -w^4 + 7 w^2 - 3]$	$53$	$[2, 2, 2, 2, 2]$	$7$

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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.