@testset "Minima and Kissing numbers" begin
  D = lattice_database()
  _minima = fmpq[ minimum(lattice(D, i)) for i in 1:300]
  @test _minima == fmpq[2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 3, 2, 3, 1, 2, 2, 3,
                        6, 1, 2, 1, 2, 3, 4, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2,
                        2, 1, 2, 3, 4, 2, 2, 4, 2, 4, 2, 2, 2, 4, 4, 2, 2, 4,
                        2, 3, 2, 4, 4, 6, 2, 2, 3, 1, 2, 5, 3, 4, 2, 4, 2, 2,
                        4, 4, 4, 7, 4, 2, 6, 4, 4, 4, 2, 4, 2, 4, 2, 3, 3, 2,
                        7, 2, 4, 2, 3, 2, 2, 4, 12, 2, 4, 6, 6, 8, 6, 8, 6, 6,
                        8, 6, 3, 6, 6, 4, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2,
                        2, 4, 6, 4, 4, 10, 6, 4, 6, 4, 8, 2, 8, 2, 4, 2, 2, 2,
                        2, 4, 8, 4, 8, 3, 3, 4, 6, 6, 2, 9, 2, 4, 4, 16, 4, 4,
                        4, 3, 3, 2, 2, 10, 4, 6, 3, 2, 4, 4, 16, 4, 3, 4, 2,
                        11, 60, 2, 4, 4, 12, 4, 4, 4, 8, 4, 4, 8, 4, 2, 12, 2,
                        8, 2, 4, 6, 2, 2, 4, 2, 4, 2, 2, 2, 2, 2, 2, 15, 12, 4,
                        4, 4, 4, 4, 3, 4, 2, 13, 3, 5, 2, 4, 4, 9, 4, 4, 4, 3,
                        2, 14, 4, 4, 4, 4, 2, 4, 2, 4, 4, 4, 4, 4, 4, 7, 6, 6,
                        2, 15, 2, 3, 2, 4, 4, 4, 4, 4, 4, 4, 3, 3, 8, 6, 8, 12,
                        12, 8, 10, 6, 10, 4, 2, 16, 6, 8, 4, 4, 4, 4, 8, 6, 8,
                        4, 6, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2 ]

  _kissing = Int[Hecke.kissing_number(lattice(D, i)) for i in 1:300]
  @test _kissing == [2, 2, 2, 2, 6, 6, 2, 4, 4, 4, 12, 8, 12, 8, 6, 4, 12, 8,
                     8, 6, 6, 2, 4, 4, 6, 2, 2, 2, 2, 2, 8, 2, 2, 2, 2, 4, 4,
                     4, 4, 4, 4, 6, 6, 10, 20, 10, 24, 24, 24, 8, 6, 2, 2, 4,
                     24, 4, 6, 12, 4, 12, 6, 4, 8, 8, 30, 12, 20, 30, 40, 10,
                     12, 40, 12, 6, 30, 24, 6, 42, 14, 42, 44, 42, 60, 12, 72,
                     54, 72, 20, 8, 56, 16, 84, 14, 126, 56, 126, 126, 92, 2,
                     126, 64, 60, 56, 56, 58, 56, 60, 56, 56, 56, 56, 56, 56,
                     60, 56, 56, 56, 60, 60, 60, 58, 72, 56, 56, 56, 56, 84,
                     72, 64, 68, 64, 56, 120, 16, 48, 72, 30, 72, 18, 112, 16,
                     240, 240, 240, 240, 132, 12, 150, 42, 16, 16, 120, 48,
                     48, 90, 20, 144, 18, 180, 6, 198, 272, 270, 20, 20, 30,
                     110, 22, 220, 110, 40, 180, 20, 276, 54, 336, 80, 260,
                     132, 24, 24, 220, 22, 432, 82, 438, 432, 216, 270, 420,
                     336, 336, 360, 156, 26, 12, 126, 18, 126, 60, 24, 42,
                     756, 264, 24, 264, 60, 72, 36, 36, 36, 12, 2, 756, 756,
                     648, 632, 624, 64, 84, 182, 28, 52, 52, 312, 26, 918, 2,
                     906, 890, 888, 112, 210, 30, 378, 756, 210, 1260, 364,
                     28, 252, 1242, 1248, 1422, 1228, 1212, 1210, 156, 182,
                     546, 240, 32, 240, 240, 420, 30, 1746, 1644, 2340, 1872,
                     1630, 1596, 70, 240, 600, 960, 180, 1680, 480, 1200,
                     1440, 336, 336, 720, 272, 34, 1088, 360, 240, 4320, 4320,
                     440, 420, 2400, 360, 480, 360, 480, 32, 720, 2772, 2436,
                     2448, 4320, 2982, 2402, 2364, 512, 256, 306 ]
end
