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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Generating vectors
15.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	$15$	$0$	$C_2$	$2$	$29$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓	$(1,2),\ldots$
15.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3.1	$15$	$0$	$C_3$	$3$	$14$	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$		$(1,2,3),\ldots$
15.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3.2	$15$	$0$	$C_3$	$3$	$14$	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$		$(1,2,3),\ldots$
15.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3.3	$15$	$0$	$C_3$	$3$	$14$	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$		$(1,2,3),\ldots$
15.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3.4	$15$	$0$	$C_3$	$3$	$14$	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$		$(1,2,3),\ldots$
15.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3.5	$15$	$0$	$C_3$	$3$	$14$	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$		$(1,2,3),\ldots$
15.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3.6	$15$	$0$	$C_3$	$3$	$14$	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$		$(1,2,3),\ldots$
15.4-1.0.4-4-4-4-4-4-4-4-4-4-4-4.5	$15$	$0$	$C_4$	$4$	$9$	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$		$(1,3,2,4),\ldots$
15.4-1.0.4-4-4-4-4-4-4-4-4-4-4-4.1	$15$	$0$	$C_4$	$4$	$9$	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$		$(1,3,2,4),\ldots$
15.4-1.0.4-4-4-4-4-4-4-4-4-4-4-4.2	$15$	$0$	$C_4$	$4$	$9$	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$		$(1,3,2,4),\ldots$
15.4-1.0.4-4-4-4-4-4-4-4-4-4-4-4.3	$15$	$0$	$C_4$	$4$	$9$	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$		$(1,3,2,4),\ldots$
15.4-1.0.4-4-4-4-4-4-4-4-4-4-4-4.4	$15$	$0$	$C_4$	$4$	$9$	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$		$(1,3,2,4),\ldots$
15.4-1.0.4-4-4-4-4-4-4-4-4-4-4-4.6	$15$	$0$	$C_4$	$4$	$9$	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$		$(1,3,2,4),\ldots$
15.4-1.0.4-4-4-4-4-4-4-4-4-4-4-4.7	$15$	$0$	$C_4$	$4$	$9$	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$		$(1,4,2,3),\ldots$
15.4-1.0.2-2-2-4-4-4-4-4-4-4-4-4-4.6	$15$	$0$	$C_4$	$4$	$10$	$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
15.4-1.0.2-2-2-4-4-4-4-4-4-4-4-4-4.1	$15$	$0$	$C_4$	$4$	$10$	$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
15.4-1.0.2-2-2-4-4-4-4-4-4-4-4-4-4.2	$15$	$0$	$C_4$	$4$	$10$	$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
15.4-1.0.2-2-2-4-4-4-4-4-4-4-4-4-4.3	$15$	$0$	$C_4$	$4$	$10$	$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
15.4-1.0.2-2-2-4-4-4-4-4-4-4-4-4-4.4	$15$	$0$	$C_4$	$4$	$10$	$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
15.4-1.0.2-2-2-4-4-4-4-4-4-4-4-4-4.5	$15$	$0$	$C_4$	$4$	$10$	$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
15.4-1.0.2-2-2-2-2-2-4-4-4-4-4-4-4-4.2	$15$	$0$	$C_4$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
15.4-1.0.2-2-2-2-2-2-4-4-4-4-4-4-4-4.1	$15$	$0$	$C_4$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
15.4-1.0.2-2-2-2-2-2-4-4-4-4-4-4-4-4.4	$15$	$0$	$C_4$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
15.4-1.0.2-2-2-2-2-2-4-4-4-4-4-4-4-4.3	$15$	$0$	$C_4$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
15.4-1.0.2-2-2-2-2-2-4-4-4-4-4-4-4-4.5	$15$	$0$	$C_4$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
15.4-1.0.2-2-2-2-2-2-2-2-2-4-4-4-4-4-4.3	$15$	$0$	$C_4$	$4$	$12$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
15.4-1.0.2-2-2-2-2-2-2-2-2-4-4-4-4-4-4.1	$15$	$0$	$C_4$	$4$	$12$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
15.4-1.0.2-2-2-2-2-2-2-2-2-4-4-4-4-4-4.2	$15$	$0$	$C_4$	$4$	$12$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
15.4-1.0.2-2-2-2-2-2-2-2-2-4-4-4-4-4-4.4	$15$	$0$	$C_4$	$4$	$12$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
15.4-1.0.2-2-2-2-2-2-2-2-2-2-2-2-4-4-4-4.1	$15$	$0$	$C_4$	$4$	$13$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
15.4-1.0.2-2-2-2-2-2-2-2-2-2-2-2-4-4-4-4.3	$15$	$0$	$C_4$	$4$	$13$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
15.4-1.0.2-2-2-2-2-2-2-2-2-2-2-2-4-4-4-4.2	$15$	$0$	$C_4$	$4$	$13$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
15.4-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-4.1	$15$	$0$	$C_4$	$4$	$14$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$	✓	$(1,2)(3,4),\ldots$
15.4-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-4.2	$15$	$0$	$C_4$	$4$	$14$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$	✓	$(1,2)(3,4),\ldots$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	$15$	$0$	$C_2^2$	$4$	$15$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓	$(1,2)(3,4),\ldots$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.2	$15$	$0$	$C_2^2$	$4$	$15$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓	$(1,2)(3,4),\ldots$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.3	$15$	$0$	$C_2^2$	$4$	$15$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.4	$15$	$0$	$C_2^2$	$4$	$15$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.5	$15$	$0$	$C_2^2$	$4$	$15$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.6	$15$	$0$	$C_2^2$	$4$	$15$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.7	$15$	$0$	$C_2^2$	$4$	$15$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.8	$15$	$0$	$C_2^2$	$4$	$15$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.9	$15$	$0$	$C_2^2$	$4$	$15$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.10	$15$	$0$	$C_2^2$	$4$	$15$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.11	$15$	$0$	$C_2^2$	$4$	$15$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.12	$15$	$0$	$C_2^2$	$4$	$15$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.13	$15$	$0$	$C_2^2$	$4$	$15$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.14	$15$	$0$	$C_2^2$	$4$	$15$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.15	$15$	$0$	$C_2^2$	$4$	$15$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.16	$15$	$0$	$C_2^2$	$4$	$15$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$

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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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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.