List of VOAs by central charge

List of VOAs by central charge

The online database of Vertex Operator Algebras and Modular Categories (Version 0.5)

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Central charge c in [x,x+1) with x= 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127,

Central charge 0-1

c=0 :vacuum,
c=1/2 :coset-kmA1_1-1, coset-kmA1_2-cartan, coset-kmE8_1-1, ising, minimal1,
c=7/10 :coset-kmA1_1-2, coset-kmE7_1-1, minimal2,
c=4/5 :coset-kmA1_1-3, coset-kmA1_3-cartan, coset-kmA2_1-1, coset-kmG2_1-cartan, minimal3,
c=6/7 :coset-kmA1_1-4, coset-kmE6_1-1, minimal4,
c=25/28 :coset-kmA1_1-5, minimal5,
c=11/12 :coset-kmA1_1-6, minimal6,
c=14/15 :coset-kmG2_1-1, minimal7,
c=52/55 :coset-kmF4_1-1, minimal8,
c=21/22 :coset-kmE8_1-2, minimal9, minimal-except9,
c=25/26 :minimal10, minimal-except10,
c=88/91 :minimal11,
c=34/35 :minimal12,
c=39/40 :minimal13,
c=133/136 :minimal14,
c=50/51 :minimal15,
c=56/57 :minimal16,
c=187/190 :minimal17,
c=69/70 :minimal18,
c=76/77 :minimal19,
c=250/253 :minimal20,
c=91/92 :minimal21,
c=99/100 :minimal22,
c=322/325 :minimal23,
c=116/117 :minimal24,
c=125/126 :minimal25,
c=403/406 :minimal26,
c=144/145 :minimal27, minimal-except27,
c=154/155 :minimal28, minimal-except28,

Central charge 1-2

c=1 :coset-kmA1_2-2, coset-kmA1_4-cartan, coset-kmA3_1-1, coset-kmB2_1-1, coset-kmB3_1-1, coset-kmB4_1-1, coset-kmB5_1-1, coset-kmB6_1-1, coset-kmB7_1-1, coset-kmB8_1-1, coset-kmD4_1-1, coset-kmD5_1-1, coset-kmD6_1-1, coset-kmD7_1-1, coset-kmD8_1-1, icosahedral, kacmoodyA1_1, lat-A1, lat-A1*, lat-D1, latorb-A1, latorb-A1*, latorb-D1, latorb-Z, lat-Z, N1minimal2, N2minimal1, octahedral, tetrahedral, U2B, zlat1, zlat10, zlat11, zlat12, zlat13, zlat14, zlat15, zlat16, zlat17, zlat18, zlat19, zlat2, zlat20, zlat21, zlat22, zlat23, zlat24, zlat3, zlat4, zlat5, zlat6, zlat7, zlat8, zlat9, zorb1, zorb10, zorb11, zorb12, zorb13, zorb14, zorb15, zorb16, zorb17, zorb18, zorb19, zorb2, zorb20, zorb21, zorb22, zorb23, zorb24, zorb25, zorb26, zorb3, zorb4, zorb5, zorb6, zorb7, zorb8, zorb9,
c=8/7 :coset-kmA1_5-cartan, coset-kmA4_1-1,
c=81/70 :coset-kmA1_2-3, N1minimal3,
c=6/5 :coset-kmA2_1-2, coset-kmA2_2-cartan, coset-kmC3_1-cartan, coset-kmF4_1-cartan, U2A,
c=5/4 :coset-kmA1_2-4, coset-kmA1_6-cartan, coset-kmA5_1-1, N1minimal4,
c=13/10 :coset-kmE7_1-2,
c=55/42 :coset-kmA1_2-5, N1minimal5,
c=4/3 :coset-kmA1_7-cartan, coset-kmA6_1-1,
c=27/20 :coset-kmA1_2-6, coset-kmA1_3-3, N1minimal6,
c=256/187 :coset-kmE8_1-3,
c=91/66 :N1minimal7,
c=7/5 :coset-kmA1_8-cartan, coset-kmA7_1-1, coset-kmC3_1-1, N1minimal8, UB2C,
c=405/286 :N1minimal9,
c=10/7 :coset-kmA2_1-3, N1minimal10,
c=187/130 :N1minimal11,
c=81/56 :N1minimal12,
c=247/170 :N1minimal13,
c=16/11 :coset-kmA1_9-cartan, coset-kmA8_1-1, U3C,
c=35/24 :N1minimal14,
c=945/646 :N1minimal15,
c=22/15 :coset-kmA1_3-4, coset-kmG2_1-2, N1minimal16,
c=391/266 :N1minimal17,
c=81/55 :N1minimal18,
c=475/322 :N1minimal19,
c=65/44 :N1minimal20,
c=1701/1150 :N1minimal21,
c=77/52 :N1minimal22,
c=667/450 :N1minimal23,
c=135/91 :N1minimal24,
c=775/522 :N1minimal25,
c=3/2 :coset-kmA1_10-cartan, coset-kmB2_1-2, kacmoodyA1_2, N2minimal2, UB2B,
c=54/35 :coset-kmA1_3-5, coset-kmE6_1-2,
c=11/7 :coset-kmA2_1-4, coset-kmA3_1-2,
c=351/220 :coset-kmA1_3-6,
c=8/5 :coset-kmA1_4-4,
c=13/8 :coset-kmB3_1-2,
c=91/55 :coset-kmF4_1-2,
c=58/35 :U3A,
c=5/3 :coset-kmA2_1-5, coset-kmD4_1-2,
c=130/77 :coset-kmA1_4-5,
c=17/10 :coset-kmB4_1-2,
c=12/7 :coset-kmC4_1-1,
c=19/11 :coset-kmD5_1-2,
c=26/15 :coset-kmA2_1-6,
c=208/119 :coset-kmE8_1-4,
c=7/4 :coset-kmA1_4-6, coset-kmB5_1-2, UF2A,
c=23/13 :coset-kmD6_1-2,
c=25/14 :coset-kmB2_1-3, coset-kmB6_1-2,
c=9/5 :coset-kmD7_1-2, coset-kmG2_1-3, kacmoodyA1_3, N2minimal3,
c=29/16 :coset-kmB7_1-2,
c=20/11 :coset-kmE7_1-3,
c=31/17 :coset-kmD8_1-2, coset-kmE8_2-2,
c=64/35 :coset-kmA2_2-2,
c=11/6 :coset-kmB8_1-2,
c=13/7 :coset-kmA4_1-2,
c=19/10 :U4B,
c=27/14 :coset-kmA3_1-3,
c=55/28 :coset-kmB2_1-4, coset-kmC5_1-1,

Central charge 2-3

c=2 :coset-kmA2_3-cartan, coset-kmA3_2-cartan, coset-kmB2_2-cartan, coset-kmC4_1-cartan, kacmoodyA1_4, kacmoodyA2_1, lat-A2, lat-A2*, lat-BGF.2.2112, lat-BGF.2.213, lat-BGF.2.214, lat-BGF.2.216, lat-BGF.2.314, lat-BGF.2.315, lat-BGF.2.318, lat-BGF.2.414, lat-BGF.2.416, lat-C2, lat-D2, lat-D2*, lat-I2, latorb-A2, latorb-A2*, latorb-BGF.2.2112, latorb-BGF.2.213, latorb-BGF.2.214, latorb-BGF.2.216, latorb-BGF.2.314, latorb-BGF.2.315, latorb-BGF.2.318, latorb-BGF.2.414, latorb-BGF.2.416, latorb-C2, latorb-D2, latorb-D2*, latorb-I2, latorb-Z2, lat-Z2, N2minimal4, U4A,
c=91/45 :coset-kmG2_1-4,
c=49/24 :coset-kmB3_1-3,
c=41/20 :UB3A,
c=25/12 :coset-kmA5_1-2, coset-kmB2_1-5,
c=44/21 :coset-kmE8_1-5,
c=21/10 :coset-kmE6_1-3,
c=32/15 :coset-kmD4_1-3,
c=15/7 :kacmoodyA1_5, N2minimal5,
c=13/6 :coset-kmA3_1-4, coset-kmB2_1-6, coset-kmC6_1-1,
c=98/45 :coset-kmG2_1-5,
c=11/5 :coset-kmA2_2-3, coset-kmC3_1-2, coset-kmF4_1-3,
c=243/110 :coset-kmB4_1-3,
c=9/4 :kacmoodyA1_6, N2minimal6,
c=34/15 :coset-kmA6_1-2,
c=574/253 :coset-kmE7_1-4,
c=25/11 :coset-kmD5_1-3,
c=16/7 :coset-kmB2_2-2, U5A,
c=126/55 :coset-kmG2_1-6,
c=121/52 :coset-kmB5_1-3,
c=7/3 :coset-kmA3_1-5, coset-kmA4_1-3, coset-kmB3_1-4, coset-kmC7_1-1, coset-kmG2_2-2, kacmoodyA1_7, N2minimal7,
c=216/91 :coset-kmD6_1-3,
c=12/5 :kacmoodyA1_8, N2minimal8, UF3A,
c=169/70 :coset-kmB6_1-3,
c=268/111 :coset-kmE8_1-6,
c=133/55 :coset-kmA7_1-2, coset-kmE7_2-2,
c=256/105 :coset-kmA2_2-4,
c=49/20 :coset-kmD7_1-3,
c=27/11 :coset-kmA3_1-6, kacmoodyA1_9, N2minimal9,
c=136/55 :coset-kmC8_1-1, coset-kmD4_1-4,
c=675/272 :coset-kmB7_1-3,
c=5/2 :coset-kmA3_2-2, kacmoodyA1_10, kacmoodyB2_1, N2minimal10, UB4B,
c=128/51 :coset-kmD8_1-3,
c=289/114 :coset-kmB8_1-3,
c=33/13 :N2minimal11,
c=28/11 :coset-kmA8_1-2, coset-kmB3_1-5,
c=51/20 :U6A,
c=87/34 :coset-kmE6_1-4,
c=18/7 :coset-kmA2_4-cartan, N2minimal12,
c=57/22 :coset-kmB4_1-4,
c=13/5 :coset-kmA2_2-5, N2minimal13,
c=403/154 :coset-kmE8_2-3,
c=21/8 :N2minimal14,
c=92/35 :coset-kmF4_1-4,
c=45/17 :N2minimal15,
c=245/92 :coset-kmE7_1-5,
c=8/3 :coset-kmA2_3-3, coset-kmA4_1-4, coset-kmA5_1-3, coset-kmB3_2-2, coset-kmG2_2-cartan,
c=35/13 :coset-kmD5_1-4,
c=27/10 :coset-kmC3_1-3,
c=119/44 :coset-kmB3_1-6,
c=448/165 :coset-kmA2_2-6,
c=30/11 :coset-kmD4_1-5,
c=11/4 :coset-kmB2_2-3,
c=253/91 :coset-kmB5_1-4,
c=39/14 :coset-kmC4_1-2, coset-kmE6_2-2,
c=14/5 :coset-kmD4_2-2, kacmoodyG2_1,
c=20/7 :coset-kmA4_2-cartan, coset-kmC5_1-cartan, coset-kmD6_1-4,
c=75/26 :coset-kmB4_1-5,
c=26/9 :coset-kmG2_2-3,
c=32/11 :coset-kmA4_1-5, coset-kmB4_2-2, coset-kmF4_2-2,
c=38/13 :coset-kmD4_1-6,
c=117/40 :coset-kmB6_1-4,
c=50/17 :coset-kmE6_1-5,
c=162/55 :coset-kmA6_1-3,
c=104/35 :coset-kmA2_3-4, coset-kmF4_1-5,
c=203/68 :coset-kmD7_1-4,

Central charge 3-4

c=3 :coset-kmA2_5-cartan, coset-kmB2_3-cartan, coset-kmB3_2-cartan, coset-kmD4_2-cartan, coset-kmD5_2-2, kacmoodyA3_1, lat-A3, lat-A3*, lat-acc, lat-BGF.3.xxx, lat-cubic F (classical holotype), lat-cubic F (even holotype), lat-cubic I (classical holotype), lat-cubic I (even holotype), lat-cubic P (classical holotype), lat-cubic P (even holotype), lat-D3, lat-digonal C (classical holotype), lat-digonal C (even holotype), lat-digonal F (classical holotype), lat-digonal F (even holotype), lat-digonal I (classical holotype), lat-digonal I (even holotype), lat-digonal P (classical holotype), lat-digonal P (even holotype), lat-hexagonal P (classical holotype), lat-hexagonal P (even holotype), lat-I3, lat-monoclinic C (classical holotype), lat-monoclinic C (even holotype), lat-monoclinic P (classical holotype), lat-monoclinic P (even holotype), latorb-A3, latorb-A3*, latorb-acc, latorb-BGF.3.xxx, latorb-cubic F (classical holotype), latorb-cubic F (even holotype), latorb-cubic I (classical holotype), latorb-cubic I (even holotype), latorb-cubic P (classical holotype), latorb-cubic P (even holotype), latorb-D3, latorb-digonal C (classical holotype), latorb-digonal C (even holotype), latorb-digonal F (classical holotype), latorb-digonal F (even holotype), latorb-digonal I (classical holotype), latorb-digonal I (even holotype), latorb-digonal P (classical holotype), latorb-digonal P (even holotype), latorb-hexagonal P (classical holotype), latorb-hexagonal P (even holotype), latorb-I3, latorb-monoclinic C (classical holotype), latorb-monoclinic C (even holotype), latorb-monoclinic P (classical holotype), latorb-monoclinic P (even holotype), latorb-tetragonal I (classical holotype), latorb-tetragonal I (even holotype), latorb-tetragonal P (classical holotype), latorb-tetragonal P (even holotype), latorb-triclinic P (classical holotype), latorb-triclinic P (even holotype), latorb-trigonal R (classical holotype), latorb-trigonal R (even holotype), latorb-zcc, lat-tetragonal I (classical holotype), lat-tetragonal I (even holotype), lat-tetragonal P (classical holotype), lat-tetragonal P (even holotype), lat-triclinic P (classical holotype), lat-triclinic P (even holotype), lat-trigonal R (classical holotype), lat-trigonal R (even holotype), lat-zcc,
c=301/100 :coset-kmE7_1-6,
c=275/91 :coset-kmD5_1-5,
c=91/30 :coset-kmC3_1-4,
c=155/51 :coset-kmB7_1-4,
c=64/21 :coset-kmA4_2-2, coset-kmB2_2-4,
c=40/13 :coset-kmB5_2-2,
c=176/57 :coset-kmD8_1-4,
c=34/11 :coset-kmA4_1-6, coset-kmA5_1-4,
c=65/21 :coset-kmA3_2-3,
c=81/26 :coset-kmB4_1-6,
c=119/38 :coset-kmB8_1-4,
c=22/7 :coset-kmB5_1-5, coset-kmD6_2-2,
c=35/11 :coset-kmA2_3-5, coset-kmA7_1-3,
c=16/5 :coset-kmB6_2-2, kacmoodyA2_2, MC4,
c=13/4 :coset-kmB2_2-5, coset-kmD6_1-5, coset-kmD7_2-2, coset-kmF4_1-6,
c=62/19 :coset-kmE6_1-6,
c=49/15 :coset-kmC3_1-5, coset-kmG2_2-4,
c=275/84 :coset-kmC5_1-2,
c=23/7 :coset-kmD5_1-6,
c=56/17 :coset-kmB7_2-2,
c=256/77 :coset-kmA2_4-4,
c=10/3 :coset-kmA2_3-6, coset-kmA2_6-cartan, coset-kmB2_3-3, coset-kmD8_2-2,
c=341/102 :coset-kmE8_2-4,
c=455/136 :coset-kmB6_1-5,
c=64/19 :coset-kmB8_2-2,
c=27/8 :coset-kmB3_2-3,
c=44/13 :coset-kmA8_1-3,
c=779/230 :coset-kmE7_2-3,
c=112/33 :coset-kmB2_2-6,
c=75/22 :coset-kmA5_1-5,
c=24/7 :coset-kmA3_3-cartan,
c=175/51 :coset-kmD7_1-5,
c=189/55 :coset-kmC3_1-6,
c=55/16 :coset-kmB5_1-6,
c=38/11 :coset-kmA6_1-4,
c=7/2 :coset-kmA3_2-4, coset-kmA5_2-2, coset-kmC3_2-2, coset-kmC4_1-3, kacmoodyB3_1,
c=200/57 :coset-kmB7_1-5,
c=350/99 :coset-kmG2_2-5,
c=25/7 :coset-kmA2_4-5,
c=243/68 :coset-kmD6_1-6,
c=68/19 :coset-kmD8_1-5,
c=18/5 :coset-kmG2_3-3,
c=119/33 :coset-kmD4_2-3,
c=51/14 :coset-kmB8_1-5,
c=95/26 :coset-kmA5_1-6,
c=221/60 :coset-kmC6_1-2,
c=377/102 :coset-kmB6_1-6,
c=26/7 :coset-kmB2_3-4, coset-kmB2_4-cartan,
c=56/15 :coset-kmG2_2-6,
c=15/4 :coset-kmA5_2-cartan, coset-kmC6_1-cartan,
c=1024/273 :coset-kmA2_4-6,
c=124/33 :coset-kmE8_3-3,
c=49/13 :coset-kmA7_1-4,
c=125/33 :coset-kmA3_2-5,
c=19/5 :coset-kmB4_2-3,
c=2262/595 :coset-kmE6_2-3,
c=217/57 :coset-kmD7_1-6,
c=50/13 :coset-kmA6_1-5,
c=27/7 :coset-kmA3_3-3, coset-kmA4_2-3,
c=128/33 :coset-kmA6_2-2, coset-kmB3_2-4,
c=299/77 :coset-kmF4_2-3,
c=297/76 :coset-kmB7_1-6,
c=567/143 :coset-kmD5_2-3,
c=175/44 :coset-kmB2_3-5,

Central charge 4-5

c=4 :coset-kmA3_2-6, coset-kmB4_2-cartan, coset-kmC3_2-cartan, coset-kmC4_1-4, coset-kmD5_2-cartan, coset-kmD8_1-6, coset-kmG2_3-cartan, hamming8, kacmoodyA2_3, kacmoodyA4_1, kacmoodyB2_2, kacmoodyD4_1, lat-A4, lat-A4*, lat-D4, lat-D4*, lat-D4 as a Hurwitzian lattice, lat-E(14), lat-E(15), lat-Elkies_A, lat-Elkies_B, lat-Elkies_C, lat-F4, lat-O(15), latorb-A4, latorb-A4*, latorb-D4, latorb-D4*, latorb-D4 as a Hurwitzian lattice, latorb-E(14), latorb-E(15), latorb-Elkies_A, latorb-Elkies_B, latorb-Elkies_C, latorb-F4, latorb-O(15), latorb-QQF.4.a, latorb-QQF.4.b, latorb-QQF.4.e, latorb-QQF.4.f, latorb-QQF.4.g, latorb-QQF.4.i, latorb-S(7), latorb-Z4, lat-QQF.4.a, lat-QQF.4.b, lat-QQF.4.e, lat-QQF.4.f, lat-QQF.4.g, lat-QQF.4.i, lat-S(7), lat-Z4,
c=2077/518 :coset-kmE8_2-5,
c=133/33 :coset-kmC7_1-2,
c=368/91 :coset-kmA8_1-4,
c=629/154 :coset-kmB8_1-6,
c=45/11 :coset-kmG2_3-4,
c=115/28 :coset-kmB5_2-3,
c=54/13 :coset-kmA6_1-6,
c=320/77 :coset-kmB2_4-4,
c=25/6 :coset-kmB2_3-6,
c=88/21 :coset-kmC5_1-3,
c=21/5 :coset-kmA7_2-2, coset-kmD4_2-4, kacmoodyC3_1,
c=55/13 :coset-kmA7_1-5, coset-kmD6_2-3,
c=931/220 :coset-kmE7_2-4,
c=17/4 :coset-kmB2_5-cartan, coset-kmB3_2-5,
c=189/44 :coset-kmB3_3-3,
c=238/55 :coset-kmC8_1-2,
c=13/3 :coset-kmC3_2-3,
c=243/56 :coset-kmB6_2-3,
c=48/11 :coset-kmC4_1-5,
c=675/154 :coset-kmA3_3-4,
c=1024/231 :coset-kmA4_2-4,
c=377/85 :coset-kmD7_2-3,
c=40/9 :coset-kmG2_3-5,
c=125/28 :coset-kmB2_4-5,
c=640/143 :coset-kmA8_2-2, coset-kmB4_2-4,
c=9/2 :coset-kmA3_4-cartan, kacmoodyB4_1,
c=595/132 :coset-kmA5_2-3,
c=217/48 :coset-kmB7_2-3,
c=648/143 :coset-kmB3_2-6,
c=32/7 :coset-kmA8_1-5, coset-kmC4_2-2, kacmoodyA2_4,
c=1485/323 :coset-kmD8_2-3,
c=23/5 :coset-kmA7_1-6,
c=527/114 :coset-kmE8_2-6,
c=51/11 :coset-kmC4_1-6,
c=65/14 :coset-kmE6_2-4,
c=665/143 :coset-kmD4_2-5,
c=256/55 :coset-kmF4_2-4,
c=14/3 :coset-kmA6_2-cartan, coset-kmB2_6-cartan, coset-kmB8_2-3, coset-kmC7_1-cartan, coset-kmD4_3-3, coset-kmG2_4-4, kacmoodyG2_2,
c=1280/273 :coset-kmB2_4-6,
c=306/65 :coset-kmG2_3-6,
c=33/7 :coset-kmD5_2-4,
c=19/4 :coset-kmE7_3-3,
c=100/21 :coset-kmA3_3-5,
c=1053/220 :coset-kmC6_1-3,
c=33232/6919 :coset-kmE8_3-4,
c=34/7 :coset-kmA4_2-5, coset-kmC5_1-4,
c=39/8 :coset-kmB3_3-cartan,
c=49/10 :coset-kmC3_2-4,
c=54/11 :coset-kmA4_3-3,
c=64/13 :coset-kmB5_2-4,
c=119/24 :coset-kmB3_3-4,
c=5719/1150 :coset-kmE7_2-5,
c=324/65 :coset-kmB4_3-3,

Central charge 5-6

c=5 :coset-kmA3_4-4, coset-kmA4_3-cartan, coset-kmA8_1-6, coset-kmB4_2-5, coset-kmB5_2-cartan, coset-kmD4_2-6, coset-kmD6_2-cartan, coset-kmG2_4-cartan, kacmoodyA2_5, kacmoodyA3_2, kacmoodyA5_1, kacmoodyB2_3, kacmoodyD5_1, lat-A5, lat-A5*, lat-A5^{+2}, lat-A5^{+3}, lat-D5, latorb-A5, latorb-A5*, latorb-A5^{+2}, latorb-A5^{+3}, latorb-D5,
c=459/91 :coset-kmA3_3-6,
c=76/15 :coset-kmA6_2-3,
c=595/117 :coset-kmG2_4-5,
c=143/28 :coset-kmD6_2-4,
c=36/7 :coset-kmE6_2-cartan,
c=5184/1001 :coset-kmA4_2-6,
c=26/5 :coset-kmE6_3-3, coset-kmF4_3-3, kacmoodyF4_1,
c=21/4 :coset-kmA5_2-4,
c=405/77 :coset-kmD5_3-3,
c=448/85 :coset-kmB6_2-4,
c=1625/308 :coset-kmF4_2-5,
c=175/33 :coset-kmC3_2-5, coset-kmC7_1-3,
c=69/13 :coset-kmD5_2-5,
c=16/3 :coset-kmA3_5-cartan, coset-kmD4_3-cartan, kacmoodyA2_6,
c=12090/2261 :coset-kmE6_2-5,
c=75/14 :coset-kmC5_1-5,
c=27/5 :coset-kmC3_3-3, coset-kmG2_4-6,
c=352/65 :coset-kmB4_2-6,
c=65/12 :coset-kmD7_2-4,
c=425/78 :coset-kmA3_4-5,
c=567/104 :coset-kmB3_3-5,
c=60/11 :coset-kmF4_2-cartan,
c=1064/195 :coset-kmD4_3-4,
c=11/2 :coset-kmB5_3-3, coset-kmC5_2-2, kacmoodyB5_1,
c=1792/323 :coset-kmB7_2-4,
c=3969/715 :coset-kmA7_2-3,
c=625/112 :coset-kmB5_2-5,
c=28/5 :coset-kmA7_2-cartan, coset-kmC3_2-6, coset-kmC8_1-cartan, kacmoodyA2_7,
c=247/44 :coset-kmC6_1-4,
c=1463/260 :coset-kmE7_2-6,
c=17/3 :coset-kmA4_3-4, coset-kmD8_2-4,
c=297/52 :coset-kmD6_3-3,
c=40/7 :kacmoodyB2_4,
c=1045/182 :coset-kmC5_1-6,
c=224/39 :coset-kmB3_4-4,
c=374/65 :coset-kmC8_1-3,
c=8432/1463 :coset-kmE8_3-5,
c=768/133 :coset-kmB8_2-4,
c=52/9 :coset-kmG2_5-cartan,
c=5408/935 :coset-kmF4_2-6,
c=81/14 :coset-kmA3_4-6, coset-kmC4_2-3, coset-kmD5_2-6,
c=3325/572 :coset-kmA5_2-5,
c=64/11 :kacmoodyA2_8,
c=99/17 :coset-kmD6_2-5,
c=513/88 :coset-kmB3_3-6,
c=35/6 :coset-kmA5_3-3,
c=324/55 :coset-kmB4_3-4,
c=702/119 :coset-kmB6_3-3,
c=1634/275 :coset-kmE7_3-4,
c=208/35 :coset-kmE6_2-6,
c=2560/429 :coset-kmA6_2-4,
c=460/77 :coset-kmA8_2-3,

Central charge 6-7

c=6 :coset-kmA3_6-cartan, coset-kmB6_2-cartan, coset-kmC3_3-cartan, coset-kmD7_2-cartan, kacmoodyA2_9, kacmoodyA6_1, kacmoodyB3_2, kacmoodyC4_1, kacmoodyD6_1, kacmoodyE6_1, kacmoodyG2_3, lat-6QF.6.a, lat-6QF.6.b, lat-6QF.6.c, lat-6QF.6.d, lat-6QF.6.e, lat-6QF.6.f, lat-(A3.sqrt(3)A3)+, lat-A6, lat-A6*, lat-A6,1, lat-A6^(2), lat-A6,2, lat-D6, lat-D6*, lat-E6, lat-E6*, lat-M6,2, lat-O(7), latorb-6QF.6.a, latorb-6QF.6.b, latorb-6QF.6.c, latorb-6QF.6.d, latorb-6QF.6.e, latorb-6QF.6.f, latorb-(A3.sqrt(3)A3)+, latorb-A6, latorb-A6*, latorb-A6,1, latorb-A6^(2), latorb-A6,2, latorb-D6, latorb-D6*, latorb-E6, latorb-E6*, latorb-M6,2, latorb-O(7),
c=145/24 :coset-kmB6_2-5,
c=200/33 :coset-kmD4_3-5,
c=91/15 :coset-kmD7_3-3,
c=104/17 :coset-kmB5_2-6,
c=135/22 :coset-kmC3_3-4,
c=1984/323 :coset-kmE8_4-4,
c=80/13 :kacmoodyA2_10,
c=945/152 :coset-kmB7_3-3,
c=81/13 :coset-kmA4_3-5,
c=2015/323 :coset-kmD7_2-5,
c=25/4 :coset-kmA5_2-6, coset-kmC6_1-5, coset-kmF4_3-4, kacmoodyB2_5,
c=69/11 :coset-kmD5_3-4,
c=245/39 :coset-kmC7_1-4,
c=44/7 :coset-kmC4_2-cartan,
c=63/10 :coset-kmE7_2-cartan,
c=208/33 :coset-kmC6_2-2,
c=19/3 :coset-kmB3_4-5, coset-kmB3_4-cartan,
c=108/17 :coset-kmD8_3-3,
c=1209/190 :coset-kmE6_3-4,
c=32/5 :coset-kmD4_4-4, coset-kmG2_6-cartan,
c=77/12 :coset-kmB7_2-5, coset-kmD6_2-6,
c=45/7 :kacmoodyA3_3,
c=136/21 :coset-kmB8_3-3,
c=13/2 :kacmoodyB6_1,
c=98/15 :coset-kmD4_3-6,
c=72/11 :coset-kmA8_2-cartan,
c=256/39 :coset-kmA4_4-4,
c=125/19 :coset-kmD8_2-5,
c=33/5 :coset-kmA7_2-4, coset-kmB4_3-5,
c=1375/208 :coset-kmB5_3-4,
c=432/65 :coset-kmA6_3-3,
c=2852/429 :coset-kmE8_3-6,
c=512/77 :coset-kmC4_2-4,
c=513/77 :coset-kmA4_3-6,
c=20/3 :coset-kmA4_4-cartan, coset-kmA5_3-cartan, coset-kmA6_2-5, coset-kmC3_3-5, kacmoodyB2_6,
c=2160/323 :coset-kmB6_2-6,
c=74/11 :coset-kmB8_2-5,
c=27/4 :coset-kmC6_1-6,
c=224/33 :coset-kmB3_4-6,
c=34/5 :coset-kmB4_3-cartan,
c=266/39 :coset-kmA5_3-4,
c=48/7 :kacmoodyA4_2,
c=3128/455 :coset-kmC8_1-4,
c=10692/1547 :coset-kmD6_3-4,
c=104/15 :coset-kmD7_2-6,
c=384/55 :coset-kmB4_4-4,
c=2090/299 :coset-kmE7_3-5,

Central charge 7-8

c=7 :coset-kmB7_2-cartan, coset-kmC3_4-4, coset-kmC7_2-2, coset-kmD8_2-cartan, kacmoodyA7_1, kacmoodyB2_7, kacmoodyC3_2, kacmoodyD4_2, kacmoodyD7_1, kacmoodyE7_1, kacmoodyG2_4, lat-A7, lat-A7*, lat-D7, lat-E7, lat-E7a, lat-KAPPA7, lat-KAPPA7*, latorb-A7, latorb-A7*, latorb-D7, latorb-E7, latorb-E7a, latorb-KAPPA7, latorb-KAPPA7*, latorb-P7.1, latorb-P7.10, latorb-P7.11, latorb-P7.12, latorb-P7.13, latorb-P7.14, latorb-P7.15, latorb-P7.16, latorb-P7.17, latorb-P7.18, latorb-P7.19, latorb-P7.2, latorb-P7.20, latorb-P7.21, latorb-P7.22, latorb-P7.23, latorb-P7.24, latorb-P7.25, latorb-P7.26, latorb-P7.27, latorb-P7.28, latorb-P7.29, latorb-P7.3, latorb-P7.30, latorb-P7.31, latorb-P7.32, latorb-P7.33, latorb-P7.4, latorb-P7.5, latorb-P7.6, latorb-P7.7, latorb-P7.8, latorb-P7.9, lat-P7.1, lat-P7.10, lat-P7.11, lat-P7.12, lat-P7.13, lat-P7.14, lat-P7.15, lat-P7.16, lat-P7.17, lat-P7.18, lat-P7.19, lat-P7.2, lat-P7.20, lat-P7.21, lat-P7.22, lat-P7.23, lat-P7.24, lat-P7.25, lat-P7.26, lat-P7.27, lat-P7.28, lat-P7.29, lat-P7.3, lat-P7.30, lat-P7.31, lat-P7.32, lat-P7.33, lat-P7.4, lat-P7.5, lat-P7.6, lat-P7.7, lat-P7.8, lat-P7.9,
c=275/39 :coset-kmC7_1-5,
c=459/65 :coset-kmC3_3-6,
c=2025/286 :coset-kmD5_3-5,
c=85/12 :coset-kmC5_2-3,
c=845/119 :coset-kmF4_3-5,
c=392/55 :coset-kmD4_4-5,
c=136/19 :coset-kmB7_2-6,
c=1024/143 :coset-kmA8_2-4,
c=1863/260 :coset-kmB4_3-6,
c=754/105 :coset-kmB6_3-4,
c=36/5 :coset-kmD4_4-cartan,
c=1408/195 :coset-kmA6_2-6,
c=152/21 :coset-kmA4_4-5,
c=80/11 :coset-kmD5_3-cartan, kacmoodyB2_8,
c=51/7 :coset-kmC4_2-5,
c=624/85 :coset-kmE6_3-5,
c=81/11 :coset-kmA7_3-3, coset-kmC4_3-3, coset-kmD8_2-6,
c=11408/1547 :coset-kmE8_4-5,
c=2821/380 :coset-kmD7_3-4,
c=483/65 :coset-kmA7_2-5,
c=1064/143 :coset-kmE7_4-4,
c=15/2 :coset-kmB3_5-cartan, coset-kmC3_4-cartan, coset-kmD5_4-4, coset-kmE8_2-cartan, kacmoodyA3_4, kacmoodyB2_9, kacmoodyB7_1,
c=3575/476 :coset-kmB5_3-5,
c=128/17 :coset-kmF4_4-4,
c=1216/161 :coset-kmB8_2-6,
c=250/33 :coset-kmA5_3-5,
c=1088/143 :coset-kmC8_2-2,
c=595/78 :coset-kmC3_4-5,
c=2079/272 :coset-kmB7_3-4,
c=23/3 :coset-kmC7_1-6,
c=100/13 :kacmoodyB2_10,
c=77/10 :coset-kmD4_4-6,
c=10125/1309 :coset-kmD5_3-6,
c=256/33 :coset-kmA4_4-6,
c=7776/1001 :coset-kmC4_2-6,
c=272/35 :coset-kmC8_1-5,
c=70/9 :kacmoodyG2_5,
c=39/5 :coset-kmE6_4-4, coset-kmF4_3-6,
c=345/44 :coset-kmB4_4-5,
c=400/51 :coset-kmD8_3-4,
c=432/55 :coset-kmA6_3-4,
c=55/7 :kacmoodyC5_1,
c=63/8 :kacmoodyB3_3,
c=308/39 :coset-kmD6_3-5,
c=95/12 :coset-kmE7_3-6,
c=1760/221 :coset-kmB5_4-4,

Central charge 8-9

c=8 :babygriess, coset-kmA4_5-cartan, coset-kmA5_4-4, coset-kmA8_3-3, coset-kmB8_2-cartan, e8-1, kacmoodyA8_1, kacmoodyB4_2, kacmoodyD8_1, kacmoodyE8_1, lat-8QF.8.a, lat-8QF.8.d, lat-8QF.8.e, lat-A2xA4#, lat-A2 x D4, lat-A8, lat-A8*, lat-D8, lat-D8*, lat-E8, lat-E8 (as a Hurwitzian lattice), lat-E8 (coding theory version), lat-KAPPA8, lat-KAPPA8*, lat-KAPPA8.2, lat-M8,3, lat-O(5), lat-O(6), latorb-8QF.8.a, latorb-8QF.8.d, latorb-8QF.8.e, latorb-A2xA4#, latorb-A2 x D4, latorb-A8, latorb-A8*, latorb-D8, latorb-D8*, latorb-E8, latorb-E8 (as a Hurwitzian lattice), latorb-E8 (coding theory version), latorb-KAPPA8, latorb-KAPPA8*, latorb-KAPPA8.2, latorb-M8,3, latorb-O(5), latorb-O(6), latorb-Q8(1), latorb-st15moddim8a, latorb-st15moddim8b, lat-Q8(1), lat-st15moddim8a, lat-st15moddim8b,
c=5032/627 :coset-kmB8_3-4,
c=81/10 :coset-kmA7_2-6, coset-kmC3_4-6,
c=625/77 :coset-kmA8_2-5,
c=49/6 :coset-kmA5_3-6,
c=286/35 :coset-kmE6_3-6,
c=247/30 :coset-kmC6_2-3,
c=8775/1064 :coset-kmB6_3-5,
c=33/4 :coset-kmB5_3-6, coset-kmC5_2-4,
c=25/3 :kacmoodyA3_5,
c=176/21 :coset-kmD6_4-4,
c=42/5 :coset-kmA6_3-cartan, kacmoodyG2_6,
c=93/11 :coset-kmB3_6-cartan,
c=1875/221 :coset-kmD5_4-5,
c=17/2 :coset-kmC4_3-4, coset-kmC8_1-6, kacmoodyB8_1,
c=434/51 :coset-kmE8_4-6,
c=20736/2431 :coset-kmB4_4-6,
c=728/85 :coset-kmD7_3-5,
c=60/7 :coset-kmF4_4-5,
c=26/3 :coset-kmC3_5-cartan,
c=8613/988 :coset-kmD6_3-6,
c=96/11 :coset-kmD4_5-cartan,
c=35/4 :coset-kmB5_3-cartan, coset-kmC5_2-cartan, kacmoodyA5_2,
c=832/95 :coset-kmB6_4-4,
c=6650/759 :coset-kmE7_4-5,
c=483/55 :coset-kmA7_3-4,
c=44/5 :coset-kmA6_3-5,
c=425/48 :coset-kmB7_3-5,
c=1664/187 :coset-kmA8_2-6,
c=98/11 :coset-kmA5_4-5, kacmoodyG2_7,

Central charge 9-10

c=9 :coset-kmA5_4-cartan, coset-kmF4_3-cartan, kacmoodyA3_6, kacmoodyA4_3, kacmoodyA9_1, kacmoodyC3_3, kacmoodyD5_2, kacmoodyD9_1, lat-A9, lat-A9*, lat-D9, lat-KAPPA9, lat-KAPPA9*, lat-KAPPA9.2, lat-LAMBDA9, latorb-A9, latorb-A9*, latorb-D9, latorb-KAPPA9, latorb-KAPPA9*, latorb-KAPPA9.2, latorb-LAMBDA9,
c=2145/238 :coset-kmE6_4-5,
c=825/91 :coset-kmB5_4-5,
c=100/11 :coset-kmA4_6-cartan, coset-kmB4_4-cartan,
c=91/10 :coset-kmD7_4-4,
c=32400/3553 :coset-kmD8_3-5,
c=475/52 :coset-kmC5_2-5,
c=10881/1190 :coset-kmB6_3-6,
c=55/6 :coset-kmC5_3-3,
c=120/13 :coset-kmD6_3-cartan,
c=1323/143 :coset-kmC7_2-3,
c=65/7 :coset-kmD5_4-6,
c=512/55 :coset-kmA6_4-4,
c=28/3 :kacmoodyB3_4, kacmoodyD4_3, kacmoodyG2_8,
c=243/26 :coset-kmC4_3-5,
c=646/69 :coset-kmB8_3-5,
c=160/17 :coset-kmB7_4-4,
c=896/95 :coset-kmF4_4-6,
c=104/11 :kacmoodyF4_2,
c=19/2 :coset-kmC4_3-cartan, kacmoodyB9_1,
c=143/15 :coset-kmD7_3-6,
c=105/11 :kacmoodyA3_7,
c=621/65 :coset-kmA6_3-6,
c=1276/133 :coset-kmD6_4-5,
c=48/5 :coset-kmC3_6-cartan, coset-kmE6_3-cartan,
c=125/13 :coset-kmA8_3-4,
c=77/8 :coset-kmA5_4-6,
c=126/13 :kacmoodyG2_9,
c=320/33 :coset-kmC6_2-4, coset-kmD8_4-4,
c=39/4 :kacmoodyC6_1,
c=275/28 :coset-kmC5_2-6,
c=128/13 :coset-kmC4_4-4,
c=33075/3344 :coset-kmB7_3-6,
c=2835/286 :coset-kmA7_3-5,
c=437/44 :coset-kmE7_4-6,
c=4352/437 :coset-kmB8_4-4,
c=2464/247 :coset-kmB5_4-6,
c=1539/154 :coset-kmC4_3-6,

Central charge 10-11

c=10 :coset-kmD4_6-cartan, coset-kmD5_4-cartan, kacmoodyA10_1, kacmoodyA3_8, kacmoodyB5_2, kacmoodyD10_1, kacmoodyG2_10, lat-10QF.10.c, lat-10QF.10.d, lat-10QF.6.a, lat-A10, lat-A10*, lat-A10^(2), lat-A10^(3), lat-C2 x S6, lat-(C6 x SU(4,2)):C2, lat-D10, lat-D10*, lat-KAPPA10, lat-KAPPA10*, lat-LAMBDA10, lat-O_10, latorb-10QF.10.c, latorb-10QF.10.d, latorb-10QF.6.a, latorb-A10, latorb-A10*, latorb-A10^(2), latorb-A10^(3), latorb-C2 x S6, latorb-(C6 x SU(4,2)):C2, latorb-D10, latorb-D10*, latorb-KAPPA10, latorb-KAPPA10*, latorb-LAMBDA10, latorb-O_10, latorb-Q10, lat-Q10,
c=221/22 :coset-kmE6_4-6,
c=403/40 :coset-kmB6_4-5,
c=782/77 :coset-kmC8_2-3,
c=112/11 :coset-kmA7_3-cartan,
c=3996/391 :coset-kmD8_3-6,
c=72/7 :kacmoodyC4_2,
c=135/13 :kacmoodyA3_9,
c=115/11 :coset-kmA6_4-5,
c=21/2 :coset-kmA7_4-4, kacmoodyB10_1, kacmoodyB3_5, kacmoodyC3_4,
c=715/68 :coset-kmD7_4-5,
c=221/21 :coset-kmB8_3-6,
c=297/28 :coset-kmD6_4-6,
c=32/3 :kacmoodyA4_4, kacmoodyA6_2,
c=75/7 :coset-kmB6_3-cartan, kacmoodyA3_10,
c=418/39 :coset-kmC5_3-4,
c=54/5 :coset-kmC6_3-3, kacmoodyB4_3,
c=2025/187 :coset-kmA7_3-6,
c=65/6 :coset-kmC6_2-5,
c=76/7 :coset-kmC4_4-5,
c=120/11 :coset-kmA5_5-cartan,
c=6125/561 :coset-kmB7_4-5,
c=1300/119 :coset-kmA8_3-5,

Central charge 11-12

c=11 :coset-kmB4_5-cartan, coset-kmC7_2-4, kacmoodyA11_1, kacmoodyD11_1, kacmoodyD6_2, lat-A11, lat-A11*, lat-D11, lat-KAPPA11, lat-KAPPA11*, lat-LAMBDA11, lat-LAMBDA11_MIN, latorb-A11, latorb-A11*, latorb-D11, latorb-KAPPA11, latorb-KAPPA11*, latorb-LAMBDA11, latorb-LAMBDA11_MIN,
c=78/7 :kacmoodyE6_2,
c=6656/595 :coset-kmB6_4-6,
c=56/5 :coset-kmD7_3-cartan, kacmoodyD4_4,
c=14800/1311 :coset-kmD8_4-5,
c=34/3 :coset-kmC6_2-cartan,
c=27648/2431 :coset-kmA6_4-6,
c=126/11 :coset-kmA6_4-cartan, kacmoodyB3_6,
c=23/2 :kacmoodyB11_1,
c=2560/221 :coset-kmA8_4-4,
c=221/19 :coset-kmB8_4-5,
c=128/11 :coset-kmC4_4-6,
c=35/3 :kacmoodyA5_3, kacmoodyC3_5, kacmoodyC7_1,
c=1547/132 :coset-kmD7_4-6,
c=176/15 :coset-kmC6_2-6,
c=2625/221 :coset-kmA7_4-5,
c=250/21 :coset-kmC5_3-5,
c=155/13 :coset-kmB5_4-cartan,

Central charge 12-13

c=12 :coset-kmA8_3-6, coset-kmA8_3-cartan, coset-kmC4_4-cartan, coset-kmE7_3-cartan, coset-kmF4_4-cartan, kacmoodyA12_1, kacmoodyA4_5, kacmoodyB6_2, kacmoodyD12_1, lat-((3+^(1+2):SL(2,3)) x SL(2,3)).C2, lat-A12, lat-A12*, lat-A1^6.sqrt(3)A1^6, lat-A2^3.sqrt(3)A2^3, lat-A2xA6, lat-A2 x A6^(2), lat-A2xM6,2, lat-A3^2.sqrt(3)A3^2, lat-A6.sqrt(3)A6, lat-(C2 x D10 x Alt5):C2, lat-C6.PSU(4,3).(C2 x C2), lat-D12, lat-D12*, lat-D12+, lat-D6.sqrt(D6), lat-E6.sqrt(3)E6, lat-G2^2.D4.sqrt(3)D4, lat-G2^6, lat-G2.A5.sqrt(3)A5, lat-GZ9.12, lat-K12, lat-K12 (The Coxeter-Todd Lattice), lat-LAMBDA12, lat-LAMBDA12_MID, lat-LAMBDA12_MIN, lat-O_12, latorb-((3+^(1+2):SL(2,3)) x SL(2,3)).C2, latorb-A12, latorb-A12*, latorb-A1^6.sqrt(3)A1^6, latorb-A2^3.sqrt(3)A2^3, latorb-A2xA6, latorb-A2 x A6^(2), latorb-A2xM6,2, latorb-A3^2.sqrt(3)A3^2, latorb-A6.sqrt(3)A6, latorb-(C2 x D10 x Alt5):C2, latorb-C6.PSU(4,3).(C2 x C2), latorb-D12, latorb-D12*, latorb-D12+, latorb-D6.sqrt(D6), latorb-E6.sqrt(3)E6, latorb-G2^2.D4.sqrt(3)D4, latorb-G2^6, latorb-G2.A5.sqrt(3)A5, latorb-GZ9.12, latorb-K12, latorb-K12 (The Coxeter-Todd Lattice), latorb-LAMBDA12, latorb-LAMBDA12_MID, latorb-LAMBDA12_MIN, latorb-O_12, latorb-(PSL(2,7) x D8):C2, latorb-(SL(2,5) Y SL(2,3)).C2, lat-(PSL(2,7) x D8):C2, lat-(SL(2,5) Y SL(2,3)).C2,
c=8704/715 :coset-kmC8_2-4,
c=90720/7429 :coset-kmB7_4-6,
c=49/4 :kacmoodyB3_7,
c=135/11 :coset-kmC7_3-3, kacmoodyD5_3,
c=160/13 :coset-kmD5_5-cartan,
c=161/13 :coset-kmC7_2-5,
c=25/2 :coset-kmA5_6-cartan, kacmoodyB12_1,
c=88/7 :coset-kmC5_4-4,
c=63/5 :kacmoodyA7_2, kacmoodyC3_6,
c=164/13 :coset-kmB4_6-cartan,
c=38/3 :coset-kmD8_4-6,
c=203/16 :coset-kmB7_3-cartan,
c=140/11 :kacmoodyD4_5,
c=702/55 :coset-kmC6_3-4,
c=77/6 :coset-kmC5_3-6,
c=90/7 :coset-kmD6_4-cartan,
c=168/13 :kacmoodyB3_8,

Central charge 13-14

c=13 :coset-kmA7_4-6, kacmoodyA13_1, kacmoodyD13_1, kacmoodyD7_2, kacmoodyF4_3, lat-A13, lat-A13*, lat-C2 x L(3,3):C2, lat-C2 x PSL(2,25):C2, lat-D13, lat-KAPPA13, lat-KAPPA13*, lat-LAMBDA13, lat-LAMBDA13_MID, lat-LAMBDA13_MIN, latorb-A13, latorb-A13*, latorb-C2 x L(3,3):C2, latorb-C2 x PSL(2,25):C2, latorb-D13, latorb-KAPPA13, latorb-KAPPA13*, latorb-LAMBDA13, latorb-LAMBDA13_MID, latorb-LAMBDA13_MIN,
c=8704/665 :coset-kmB8_4-6,
c=144/11 :kacmoodyA4_6, kacmoodyB4_4,
c=224/17 :coset-kmD8_3-cartan,
c=1200/91 :coset-kmA8_4-5,
c=133/10 :kacmoodyE7_2,
c=40/3 :coset-kmC5_3-cartan,
c=147/11 :kacmoodyC3_7,
c=27/2 :coset-kmC7_2-6, coset-kmE6_4-cartan, kacmoodyB13_1, kacmoodyB3_9, kacmoodyC4_3,
c=68/5 :coset-kmC8_3-3, kacmoodyC8_1,
c=55/4 :kacmoodyB5_3, kacmoodyC5_2,
c=2125/154 :coset-kmC8_2-5,

Central charge 14-15

c=14 :coset-kmA6_5-cartan, coset-kmA7_4-cartan, coset-kmC4_5-cartan, coset-kmC5_4-5, coset-kmC7_2-cartan, kacmoodyA14_1, kacmoodyA4_7, kacmoodyA5_4, kacmoodyB3_10, kacmoodyB7_2, kacmoodyC3_8, kacmoodyD14_1, kacmoodyD4_6, lat-A14, lat-A14*, lat-A2 x E7, lat-C2 x G(2,3), lat-D14, lat-D14*, lat-E7^2+, lat-KAPPA14.1, lat-KAPPA14.2, lat-LAMBDA14, lat-LAMBDA14.2, lat-LAMBDA14.3, lat-LAMBDA14.4, lat-M14,2, lat-M14,3, lat-M14,6, latorb-A14, latorb-A14*, latorb-A2 x E7, latorb-C2 x G(2,3), latorb-D14, latorb-D14*, latorb-E7^2+, latorb-KAPPA14.1, latorb-KAPPA14.2, latorb-LAMBDA14, latorb-LAMBDA14.2, latorb-LAMBDA14.3, latorb-LAMBDA14.4, latorb-M14,2, latorb-M14,3, latorb-M14,6, latorb-(SU(3,3) x C4).C2, lat-(SU(3,3) x C4).C2,
c=100/7 :coset-kmD5_6-cartan,
c=143/10 :coset-kmC6_3-5,
c=72/5 :kacmoodyA6_3,
c=29/2 :kacmoodyB14_1,
c=3584/247 :coset-kmA8_4-6,
c=189/13 :kacmoodyC3_9,
c=160/11 :coset-kmE8_3-cartan, kacmoodyA8_2,
c=102/7 :coset-kmF4_5-cartan,
c=161/11 :coset-kmC7_3-4,
c=205/14 :coset-kmB5_5-cartan,
c=44/3 :coset-kmB8_3-cartan,
c=192/13 :kacmoodyA4_8,
c=74/5 :coset-kmB6_4-cartan,

Central charge 15-16

c=15 :kacmoodyA15_1, kacmoodyB4_5, kacmoodyC3_10, kacmoodyD15_1, kacmoodyD5_4, kacmoodyD8_2, lat-A15, lat-A15*, lat-A15+, lat-D15, lat-KAPPA15.1, lat-KAPPA15.2, lat-LAMBDA15, lat-LAMBDA15.2, lat-LAMBDA15.3, lat-LAMBDA15.4, lat-Lambda2(A6), lat-Lambda2(E6), latorb-A15, latorb-A15*, latorb-A15+, latorb-D15, latorb-KAPPA15.1, latorb-KAPPA15.2, latorb-LAMBDA15, latorb-LAMBDA15.2, latorb-LAMBDA15.3, latorb-LAMBDA15.4, latorb-Lambda2(A6), latorb-Lambda2(E6),
c=196/13 :kacmoodyD4_7,
c=121/8 :coset-kmC5_4-6,
c=832/55 :coset-kmC6_4-4, coset-kmC8_2-6,
c=198/13 :kacmoodyD6_3,
c=108/7 :kacmoodyA4_9,
c=31/2 :kacmoodyB15_1, kacmoodyE8_2,
c=621/40 :coset-kmC6_3-6,
c=171/11 :kacmoodyC9_1,
c=78/5 :kacmoodyE6_3,
c=172/11 :coset-kmC4_6-cartan,
c=63/4 :coset-kmD7_4-cartan,
c=175/11 :kacmoodyA5_5,

Central charge 16-17

c=16 :coset-kmD6_5-cartan, kacmoodyA16_1, kacmoodyA4_10, kacmoodyB8_2, kacmoodyC4_4, kacmoodyD16_1, kacmoodyD4_8, kacmoodyF4_4, lat-A16, lat-A16*, lat-A16^(3), lat-A2xH4, lat-A4 x F4, lat-BW16 as a Hurwitzian lattice, lat-BW16 (The Barnes-Wall Lattice), lat-C2.Alt10, lat-(C2.Alt7 Y C2.S3).C2, lat-(C2 x Alt6).(C2 x C2), lat-C2 x S3 x PGL(2,7), lat-C2 x (S5 x S5):C2, lat-D120.C2, lat-D120.C2.b, lat-D120.(C4 x C2), lat-D16, lat-D16*, lat-E8 x A2, lat-KAPPA16.1, lat-KAPPA16.2, lat-KAPPA16.3, lat-LAMBDA16, lat-LAMBDA16.2, lat-LAMBDA16.3, lat-LAMBDA16.4, lat-OBW16, lat-Odd Barnes-Wall, latorb-A16, latorb-A16*, latorb-A16^(3), latorb-A2xH4, latorb-A4 x F4, latorb-BW16 as a Hurwitzian lattice, latorb-BW16 (The Barnes-Wall Lattice), latorb-C2.Alt10, latorb-(C2.Alt7 Y C2.S3).C2, latorb-(C2 x Alt6).(C2 x C2), latorb-C2 x S3 x PGL(2,7), latorb-C2 x (S5 x S5):C2, latorb-D120.C2, latorb-D120.C2.b, latorb-D120.(C4 x C2), latorb-D16, latorb-D16*, latorb-E8 x A2, latorb-KAPPA16.1, latorb-KAPPA16.2, latorb-KAPPA16.3, latorb-LAMBDA16, latorb-LAMBDA16.2, latorb-LAMBDA16.3, latorb-LAMBDA16.4, latorb-OBW16, latorb-Odd Barnes-Wall, latorb-(SL(2,5) Y ((SL(2,3) x C3).C2)).C2, latorb-(((SL(2,5) Y SL(2,5)):C2) x D10):C2, latorb-(SL(2,5) Y SL(2,9)):C2, latorb-(SL(2,7) Y C2.S3).C2, latorb-(SL(2,9) Y SL(2,9)).(C2 x C2), latorb-((Sp(4,3) x C3) Y SL(2,3)).C2, lat-(SL(2,5) Y ((SL(2,3) x C3).C2)).C2, lat-(((SL(2,5) Y SL(2,5)):C2) x D10):C2, lat-(SL(2,5) Y SL(2,9)):C2, lat-(SL(2,7) Y C2.S3).C2, lat-(SL(2,9) Y SL(2,9)).(C2 x C2), lat-((Sp(4,3) x C3) Y SL(2,3)).C2,
c=210/13 :coset-kmA6_6-cartan,
c=425/26 :coset-kmC8_3-4,
c=33/2 :kacmoodyA9_2, kacmoodyB16_1,
c=4725/286 :coset-kmC7_3-5,
c=216/13 :coset-kmA8_4-cartan, kacmoodyB4_6,
c=117/7 :kacmoodyB6_3,
c=184/11 :coset-kmC8_2-cartan,
c=84/5 :coset-kmF4_6-cartan, kacmoodyD4_9,
c=220/13 :kacmoodyB5_4,
c=288/17 :coset-kmE6_5-cartan,
c=1495/88 :coset-kmC6_4-5,

Central charge 17-18

c=17 :coset-kmB5_6-cartan, coset-kmC5_4-cartan, kacmoodyA17_1, kacmoodyD17_1, kacmoodyD9_2, lat-A17, lat-A17*, lat-D17, lat-KAPPA17.1, lat-KAPPA17.2, lat-LAMBDA17, lat-LAMBDA17.2, lat-LAMBDA17.3, lat-LAMBDA17.4, latorb-A17, latorb-A17*, latorb-D17, latorb-KAPPA17.1, latorb-KAPPA17.2, latorb-LAMBDA17, latorb-LAMBDA17.2, latorb-LAMBDA17.3, latorb-LAMBDA17.4, latorb-Q1761, latorb-Q1762, latorb-Q1763, latorb-Q1766, latorb-Qp1761, latorb-Qp1762, latorb-Qp1763, latorb-Qp1766, lat-Q1761, lat-Q1762, lat-Q1763, lat-Q1766, lat-Qp1761, lat-Qp1762, lat-Qp1763, lat-Qp1766,
c=189/11 :coset-kmE7_4-cartan, kacmoodyA7_3,
c=224/13 :coset-kmA7_5-cartan,
c=225/13 :kacmoodyD5_5,
c=52/3 :kacmoodyC6_2,
c=87/5 :coset-kmC6_3-cartan,
c=192/11 :kacmoodyA6_4,
c=35/2 :coset-kmC7_4-4, kacmoodyA5_6, kacmoodyB17_1, kacmoodyC10_1, kacmoodyD4_10,
c=301/17 :coset-kmB7_4-cartan,

Central charge 18-19

c=18 :kacmoodyA18_1, kacmoodyB4_7, kacmoodyB9_2, kacmoodyC4_5, kacmoodyD18_1, lat-A18, lat-A18*, lat-A18^(5), lat-A2xA9, lat-(C2 x 3^(1+4):Sp(4,3)).C2, lat-(C2 x Alt5 x Alt5).(C2 x C2), lat-(C2 x C3.Alt6).(C2 x C2), lat-(C2 x PSL(2,7) x PSL(2,7)).(C2 x C2), lat-(C2 x Sp(4,4)).C2, lat-D18, lat-D18*, lat-KAPPA18, lat-LAMBDA18, lat-LAMBDA18.2, lat-LAMBDA18.3, lat-M18,2, lat-M18,4, latorb-A18, latorb-A18*, latorb-A18^(5), latorb-A2xA9, latorb-(C2 x 3^(1+4):Sp(4,3)).C2, latorb-(C2 x Alt5 x Alt5).(C2 x C2), latorb-(C2 x C3.Alt6).(C2 x C2), latorb-(C2 x PSL(2,7) x PSL(2,7)).(C2 x C2), latorb-(C2 x Sp(4,4)).C2, latorb-D18, latorb-D18*, latorb-KAPPA18, latorb-LAMBDA18, latorb-LAMBDA18.2, latorb-LAMBDA18.3, latorb-M18,2, latorb-M18,4,
c=3375/187 :coset-kmC7_3-6,
c=91/5 :kacmoodyD7_3,
c=55/3 :kacmoodyC5_3,
c=147/8 :coset-kmB6_5-cartan,
c=240/13 :kacmoodyA10_2,
c=3456/187 :coset-kmC6_4-6,
c=37/2 :kacmoodyB18_1,
c=130/7 :coset-kmC8_3-5, kacmoodyF4_5,
c=56/3 :coset-kmD8_4-cartan,
c=75/4 :coset-kmD6_6-cartan,
c=245/13 :kacmoodyA5_7,
c=132/7 :kacmoodyD6_4,

Central charge 19-20

c=19 :kacmoodyA19_1, kacmoodyD10_2, kacmoodyD19_1, kacmoodyE7_3, lat-A19, lat-A19*, lat-D19, lat-KAPPA19, lat-LAMBDA19, latorb-A19, latorb-A19*, latorb-D19, latorb-KAPPA19, latorb-LAMBDA19,
c=96/5 :kacmoodyB4_8,
c=135/7 :kacmoodyD5_6,
c=253/13 :kacmoodyC11_1,
c=39/2 :kacmoodyB19_1, kacmoodyE6_4,
c=216/11 :kacmoodyC4_6,
c=275/14 :kacmoodyB5_5,
c=315/16 :kacmoodyB7_3,
c=256/13 :coset-kmC8_4-4,
c=336/17 :coset-kmD7_5-cartan,
c=4375/221 :coset-kmC7_4-5,

Central charge 20-21

c=20 :coset-kmA7_6-cartan, coset-kmC5_5-cartan, coset-kmE6_6-cartan, kacmoodyA20_1, kacmoodyA5_8, kacmoodyA6_5, kacmoodyA8_3, kacmoodyB10_2, kacmoodyD20_1, lat-A_11.otimes(3).A_2, lat-A20, lat-A20*, lat-A2 x A10, lat-A4 x A5, lat-C2.M12.C2, lat-C2.M22.C2, lat-(C2.PSL(3,4)).(C2 x C2), lat-C2 x 5^(1+2):GL(2,5), lat-(C2 x PSL(3,4)).(C2 x S3), lat-C2 x S3 x PGL(2,11), lat-C2 x S3 x PGL(2,11)(b), lat-C2 x S8, lat-(C2 x SU(4,2)).C2, lat-D20, lat-D20*, lat-(D8 x S6).C2, lat-F4 x A5, lat-KAPPA20, lat-L20, lat-L_20,4, lat-L5(P^5), lat-LAMBDA20, lat-M20,3, latorb-A_11.otimes(3).A_2, latorb-A20, latorb-A20*, latorb-A2 x A10, latorb-A4 x A5, latorb-C2.M12.C2, latorb-C2.M22.C2, latorb-(C2.PSL(3,4)).(C2 x C2), latorb-C2 x 5^(1+2):GL(2,5), latorb-(C2 x PSL(3,4)).(C2 x S3), latorb-C2 x S3 x PGL(2,11), latorb-C2 x S3 x PGL(2,11)(b), latorb-C2 x S8, latorb-(C2 x SU(4,2)).C2, latorb-D20, latorb-D20*, latorb-(D8 x S6).C2, latorb-F4 x A5, latorb-KAPPA20, latorb-L20, latorb-L_20,4, latorb-L5(P^5), latorb-LAMBDA20, latorb-M20,3, latorb-(PSL(2,11) x D12).C2, latorb-R20, latorb-(SU(4,2) x C6).C2, latorb-(SU(5,2) x SL(2,3)).C2, lat-(PSL(2,11) x D12).C2, lat-R20, lat-(SU(4,2) x C6).C2, lat-(SU(5,2) x SL(2,3)).C2,
c=81/4 :kacmoodyB4_9,
c=102/5 :coset-kmC8_3-6,
c=143/7 :kacmoodyA11_2,
c=41/2 :kacmoodyB20_1,
c=144/7 :coset-kmA8_5-cartan,
c=392/19 :coset-kmB8_4-cartan,
c=104/5 :kacmoodyB6_4, kacmoodyF4_6,

Central charge 21-22

c=21 :kacmoodyA21_1, kacmoodyA5_9, kacmoodyA7_4, kacmoodyC4_7, kacmoodyC7_2, kacmoodyD11_2, kacmoodyD21_1, kacmoodyD5_7, lat-A21, lat-C2 x S7, lat-C2 x Sp(6,2), lat-D21, lat-KAPPA21, lat-LAMBDA21, latorb-A21, latorb-C2 x S7, latorb-C2 x Sp(6,2), latorb-D21, latorb-KAPPA21, latorb-LAMBDA21,
c=360/17 :coset-kmE8_4-cartan, kacmoodyB4_10, kacmoodyD8_3,
c=150/7 :kacmoodyC12_1,
c=43/2 :kacmoodyB21_1,
c=366/17 :coset-kmB6_6-cartan,
c=238/11 :coset-kmC7_3-cartan,
c=65/3 :coset-kmC7_4-6,
c=175/8 :kacmoodyA5_10,
c=504/23 :coset-kmE7_5-cartan,

Central charge 22-23

c=22 :kacmoodyA22_1, kacmoodyB11_2, kacmoodyB5_6, kacmoodyC5_4, kacmoodyD22_1, kacmoodyD6_5, lat-A22, lat-A22*, lat-A22^(4), lat-A22^(6), lat-A2 x A11, lat-(C2 x Mc).C2, lat-(C2 x PSU(6,2)).S3, lat-D22, lat-hA22^(2), lat-hA22^(3), lat-LAMBDA 22, latorb-A22, latorb-A22*, latorb-A22^(4), latorb-A22^(6), latorb-A2 x A11, latorb-(C2 x Mc).C2, latorb-(C2 x PSU(6,2)).S3, latorb-D22, latorb-hA22^(2), latorb-hA22^(3), latorb-LAMBDA 22, latorb-overlattice(A2xA11), lat-overlattice(A2xA11),
c=288/13 :kacmoodyA6_6, kacmoodyC4_8,
c=133/6 :coset-kmB7_5-cartan,
c=246/11 :coset-kmC6_4-cartan,
c=112/5 :kacmoodyA12_2,
c=2040/91 :coset-kmC8_4-5,
c=45/2 :coset-kmC5_6-cartan, kacmoodyB22_1, kacmoodyD5_8,
c=248/11 :kacmoodyE8_3,
c=68/3 :kacmoodyB8_3,
c=91/4 :kacmoodyD7_4, kacmoodyF4_7,
c=297/13 :kacmoodyA9_3,
c=390/17 :kacmoodyE6_5,

Central charge 23-24

c=23 :kacmoodyA23_1, kacmoodyD12_2, kacmoodyD23_1, lat-A23, lat-D23, lat-LAMBDA 23, latorb-A23, latorb-D23, latorb-LAMBDA 23,
c=162/7 :kacmoodyC4_9,
c=116/5 :vfnatural,
c=70/3 :coset-kmD7_6-cartan,
c=117/5 :kacmoodyC13_1, kacmoodyC6_3,
c=47/2 :kacmoodyB23_1, vbnatural,
c=448/19 :coset-kmD8_5-cartan,
c=405/17 :kacmoodyD5_9,

Central charge 24-25

Central charge 25-26

c=25 :kacmoodyC5_5, kacmoodyD13_2, kacmoodyD5_10, lat-A5 tilde(otimes) A5, lat-D25, lat-D25+, lat-L2(49):2, lat-LAMBDA25, latorb-A5 tilde(otimes) A5, latorb-D25, latorb-D25+, latorb-L2(49):2, latorb-LAMBDA25,
c=203/8 :kacmoodyC14_1,
c=128/5 :kacmoodyA6_8,
c=513/20 :kacmoodyB9_3,
c=180/7 :kacmoodyA10_3,
c=440/17 :kacmoodyB5_8,

Central charge 26-27

c=26 :coset-kmB8_5-cartan, coset-kmC8_3-cartan, kacmoodyB13_2, kacmoodyE6_6, kacmoodyF4_9, lat-Beis13, lat-L2(25):2, lat-L2(25):2^2, lat-L4(3):2, lat-LAMBDA26, latorb-Beis13, latorb-L2(25):2, latorb-L2(25):2^2, latorb-L4(3):2, latorb-LAMBDA26, latorb-S6(3)C3.2, latorb-T26, lat-S6(3)C3.2, lat-T26,
c=497/19 :coset-kmB7_6-cartan,
c=105/4 :coset-kmE7_6-cartan,
c=448/17 :kacmoodyA14_2,
c=53/2 :coset-kmC6_5-cartan,
c=80/3 :kacmoodyD8_4,
c=455/17 :kacmoodyD7_5,

Central charge 27-28

c=27 :kacmoodyA6_9, kacmoodyA7_6, kacmoodyD14_2, lat-L3(3):2, lat-LAMBDA27, latorb-L3(3):2, latorb-LAMBDA27, latorb-S9, lat-S9,
c=190/7 :kacmoodyD10_3,
c=462/17 :kacmoodyD6_7,
c=465/17 :kacmoodyC15_1,
c=520/19 :kacmoodyF4_10,
c=192/7 :coset-kmE8_5-cartan,
c=55/2 :kacmoodyB5_9, kacmoodyC5_6,
c=468/17 :kacmoodyB6_6,

Central charge 28-29

c=28 :coset-kmC7_4-cartan, coset-kmD8_6-cartan, kacmoodyB14_2, lat-2.J2SL2(3).2, lat-Beis14, lat-G2(3)S3.2, lat-J2.2, lat-J2:2, lat-J2dim14, lat-L2(13)S3.2, lat-L7(P), lat-L7(P^3), lat-L7(P^7), lat-LAMBDA28, lat-LL28, lat-O8+(2):S3, latorb-2.J2SL2(3).2, latorb-Beis14, latorb-G2(3)S3.2, latorb-J2.2, latorb-J2:2, latorb-J2dim14, latorb-L2(13)S3.2, latorb-L7(P), latorb-L7(P^3), latorb-L7(P^7), latorb-LAMBDA28, latorb-LL28, latorb-O8+(2):S3, latorb-overlattice(E7xD4), latorb-R28, latorb-R28', latorb-R28'', latorb-S8, latorb-SL2(13)SL2(3).2, latorb-Sp6(3)C3.2, latorb-Sz(8):3C4, latorb-U3(3)(Q8C4).S3.2, latorb-U3(5):2, lat-overlattice(E7xD4), lat-R28, lat-R28', lat-R28'', lat-S8, lat-SL2(13)SL2(3).2, lat-Sp6(3)C3.2, lat-Sz(8):3C4, lat-U3(3)(Q8C4).S3.2, lat-U3(5):2,
c=480/17 :kacmoodyA6_10,
c=198/7 :kacmoodyA9_4,
c=85/3 :kacmoodyA15_2,
c=312/11 :kacmoodyC6_4,
c=57/2 :kacmoodyC9_2,
c=200/7 :kacmoodyA8_5,
c=143/5 :kacmoodyA11_3,
c=544/19 :kacmoodyB8_4,
c=315/11 :kacmoodyB10_3, kacmoodyC7_3,
c=546/19 :kacmoodyE6_7,
c=665/23 :kacmoodyE7_5,
c=550/19 :kacmoodyB5_10,

Central charge 29-30

c=29 :kacmoodyD15_2, lat-LAMBDA29, latorb-LAMBDA29,
c=175/6 :kacmoodyB7_5,
c=496/17 :kacmoodyE8_4,
c=88/3 :kacmoodyC16_1, kacmoodyD6_8,
c=147/5 :kacmoodyA7_7,
c=385/13 :kacmoodyC5_7,

Central charge 30-31

c=30 :coset-kmC6_6-cartan, kacmoodyB15_2, lat-3.Alt6.2^2, lat-3.L3(4).2^2, lat-3.S7, lat-3.U4(3).2^2, lat-hat(A)30^(4), lat-hat(A)30^(8), lat-LAMBDA30, latorb-3.Alt6.2^2, latorb-3.L3(4).2^2, latorb-3.S7, latorb-3.U4(3).2^2, latorb-hat(A)30^(4), latorb-hat(A)30^(8), latorb-LAMBDA30, latorb-Q30, latorb-U4(2)3^1+2:SL2(3).2, lat-Q30, lat-U4(2)3^1+2:SL2(3).2,
c=693/23 :kacmoodyD11_3,
c=576/19 :kacmoodyA16_2,
c=91/3 :kacmoodyB6_7, kacmoodyD7_6,
c=153/5 :kacmoodyD9_4,
c=216/7 :coset-kmB8_6-cartan,

Central charge 31-32

c=31 :kacmoodyD16_2, lat-L2(32):5, lat-LAMBDA31, lat-LAMBDA31B, lat-LAMBDA31Bnc, lat-LAMBDA31nc, latorb-L2(32):5, latorb-LAMBDA31, latorb-LAMBDA31B, latorb-LAMBDA31Bnc, latorb-LAMBDA31nc, latorb-Q31, lat-Q31,
c=156/5 :kacmoodyE6_8,
c=594/19 :kacmoodyD6_9,
c=595/19 :kacmoodyC17_1,
c=220/7 :kacmoodyC5_8,
c=63/2 :kacmoodyA12_3, kacmoodyA7_8,
c=600/19 :kacmoodyD8_5,
c=253/8 :kacmoodyB11_3,

Central charge 32-33

Central charge 33-34

c=33 :kacmoodyA9_5, kacmoodyC5_9, kacmoodyD17_2, kacmoodyD6_10,
c=828/25 :kacmoodyD12_3,
c=630/19 :kacmoodyB7_6,
c=133/4 :kacmoodyE7_6,
c=333/10 :kacmoodyC18_1,
c=100/3 :coset-kmE8_6-cartan,
c=567/17 :kacmoodyA7_9,
c=434/13 :coset-kmC7_5-cartan,
c=234/7 :kacmoodyE6_9,
c=637/19 :kacmoodyD7_7,
c=440/13 :coset-kmC8_4-cartan,

Central charge 34-35

c=34 :kacmoodyB17_2, kacmoodyB8_5, kacmoodyC8_3, lat-Beis17, latorb-Beis17,
c=240/7 :kacmoodyA18_2,
c=275/8 :kacmoodyC5_10,
c=585/17 :kacmoodyA13_3,
c=380/11 :kacmoodyD10_4,
c=450/13 :kacmoodyB12_3,

Central charge 35-36

c=35 :kacmoodyA7_10, kacmoodyA8_7, kacmoodyC7_4, kacmoodyD18_2,
c=351/10 :kacmoodyB6_9,
c=247/7 :kacmoodyC19_1,
c=248/7 :kacmoodyE8_5,
c=390/11 :kacmoodyE6_10,
c=143/4 :kacmoodyA11_4,

Central charge 36-37

c=36 :kacmoodyB18_2, kacmoodyC6_6, kacmoodyD8_6, lat-Bhurw9, lat-KP36, lat-L_36,4, lat-L_36,4sup1, lat-L_36,4sup2, latorb-Bhurw9, latorb-KP36, latorb-L_36,4, latorb-L_36,4sup1, latorb-L_36,4sup2, latorb-RAOR36, latorb-SL2(19):2,2mod, latorb-Sl2(19)C3,2mod, latorb-SL2(19)SL2(3).2, latorb-Sp4(4)xC_3, latorb-U3(3)U3(3):2.2, lat-RAOR36, lat-SL2(19):2,2mod, lat-Sl2(19)C3,2mod, lat-SL2(19)SL2(3).2, lat-Sp4(4)xC_3, lat-U3(3)U3(3):2.2,
c=325/9 :kacmoodyD13_3,
c=253/7 :kacmoodyC11_2,
c=399/11 :kacmoodyA19_2,
c=182/5 :kacmoodyD7_8,
c=255/7 :kacmoodyD9_5,
c=840/23 :kacmoodyB10_4,
c=147/4 :kacmoodyB7_7,

Central charge 37-38

c=37 :kacmoodyD19_2,
c=260/7 :kacmoodyB6_10,
c=931/25 :kacmoodyE7_7,
c=410/11 :kacmoodyC20_1,
c=112/3 :kacmoodyA14_3,
c=75/2 :kacmoodyA10_5,
c=1053/28 :kacmoodyB13_3,
c=640/17 :kacmoodyA8_8,

Central charge 38-39

c=38 :coset-kmC7_6-cartan, kacmoodyB19_2,
c=880/23 :kacmoodyA20_2,
c=77/2 :kacmoodyD11_4,
c=272/7 :kacmoodyB8_6,
c=855/22 :kacmoodyB9_5,

Central charge 39-40

c=39 :kacmoodyC6_7, kacmoodyD20_2, kacmoodyD7_9,
c=1134/29 :kacmoodyD14_3,
c=903/23 :kacmoodyC21_1,
c=513/13 :kacmoodyC9_3,
c=672/17 :kacmoodyA12_4,

Central charge 40-41

c=40 :kacmoodyA8_9, kacmoodyB20_2, kacmoodyB7_8, kacmoodyC12_2, kacmoodyD8_7, lat-2.Alt7SS3, lat-2.Alt7SS3.2, lat-2.M12.2GL2(3), lat-2.U4(2)SL2(3).2, lat-2.U4(3).4SS3.2, lat-5^1+2.SL2(5).2SL2(5).2, lat-Bhurw10, lat-F4S6.2, lat-L2(11)SL2(3)S3.2, lat-L40, latorb-2.Alt7SS3, latorb-2.Alt7SS3.2, latorb-2.M12.2GL2(3), latorb-2.U4(2)SL2(3).2, latorb-2.U4(3).4SS3.2, latorb-5^1+2.SL2(5).2SL2(5).2, latorb-Bhurw10, latorb-F4S6.2, latorb-L2(11)SL2(3)S3.2, latorb-L40, latorb-SL2(11)C12.2.2, latorb-SL2(11)Q8D8.Alt5.2, latorb-SL2(11)SL2(3).2, latorb-SL2(19)SS3.2, latorb-U3(5).3C3.2, latorb-(U5(2) x 2^(1+4)_-.Alt_5).2, lat-SL2(11)C12.2.2, lat-SL2(11)Q8D8.Alt5.2, lat-SL2(11)SL2(3).2, lat-SL2(19)SS3.2, lat-U3(5).3C3.2, lat-(U5(2) x 2^(1+4)_-.Alt_5).2,
c=161/4 :kacmoodyA21_2,
c=765/19 :kacmoodyA15_3,
c=525/13 :kacmoodyC7_5,
c=1012/25 :kacmoodyB11_4,
c=284/7 :coset-kmC8_5-cartan,
c=203/5 :kacmoodyB14_3,
c=532/13 :kacmoodyE7_8,

Central charge 41-42

c=41 :kacmoodyD21_2,
c=165/4 :kacmoodyC22_1,
c=950/23 :kacmoodyD10_5,
c=124/3 :kacmoodyE8_6,
c=455/11 :kacmoodyD7_10,
c=208/5 :kacmoodyC6_8,
c=544/13 :kacmoodyC8_4,

Central charge 42-43

c=42 :kacmoodyB21_2,
c=715/17 :kacmoodyA11_5,
c=1305/31 :kacmoodyD15_3,
c=800/19 :kacmoodyA8_10,
c=1056/25 :kacmoodyA22_2,
c=552/13 :kacmoodyD12_4,
c=945/22 :kacmoodyB7_9,

Central charge 43-44

c=43 :kacmoodyD22_2,
c=216/5 :kacmoodyA16_3,
c=1081/25 :kacmoodyC23_1,
c=476/11 :kacmoodyB8_7,
c=130/3 :kacmoodyA13_4,
c=1395/32 :kacmoodyB15_3,
c=480/11 :kacmoodyD8_8,
c=175/4 :kacmoodyB10_5,
c=351/8 :kacmoodyC13_2, kacmoodyC6_9,

Central charge 44-45

c=44 :kacmoodyB22_2, lat-Bhurw11, lat-hat(A)_22^(2).otimes(3).A_2, lat-MW44, latorb-Bhurw11, latorb-hat(A)_22^(2).otimes(3).A_2, latorb-MW44,
c=575/13 :kacmoodyA23_2,
c=133/3 :kacmoodyE7_9,
c=400/9 :kacmoodyB12_4,

Central charge 45-46

c=45 :kacmoodyC10_3, kacmoodyC7_6, kacmoodyD23_2,
c=496/11 :kacmoodyD16_3,
c=588/13 :kacmoodyC24_1,
c=1050/23 :kacmoodyB7_10,
c=780/17 :kacmoodyC6_10,

Central charge 46-47

c=46 :kacmoodyB23_2,
c=323/7 :kacmoodyA17_3,
c=231/5 :kacmoodyD11_5,
c=416/9 :kacmoodyA24_2,
c=232/5 :coset-kmC8_6-cartan,
c=325/7 :kacmoodyD13_4,
c=792/17 :kacmoodyB16_3,
c=140/3 :kacmoodyA12_5,
c=1736/37 :kacmoodyE8_7,
c=1080/23 :kacmoodyD8_9,

Central charge 47-48

c=47 :kacmoodyD24_2,
c=896/19 :kacmoodyA14_4,
c=1088/23 :kacmoodyB8_8,
c=95/2 :kacmoodyE7_10,
c=812/17 :kacmoodyC14_2,

Central charge 48-49

c=48 :kacmoodyB24_2, lat-Bhurw12, lat-OLeech^2, latorb-Bhurw12, latorb-OLeech^2, latorb-P_48n, latorb-P_48p, latorb-P_48q, lat-P_48n, lat-P_48p, lat-P_48q,
c=1683/35 :kacmoodyD17_3,
c=1404/29 :kacmoodyB13_4,
c=340/7 :kacmoodyC8_5,
c=1265/26 :kacmoodyB11_5,
c=342/7 :kacmoodyC9_4,

Central charge 49-50

c=49 :kacmoodyC7_7,
c=540/11 :kacmoodyA18_3,
c=595/12 :kacmoodyB17_3,

Central charge 50-51

c=50 :kacmoodyD8_10,
c=252/5 :kacmoodyD14_4,
c=253/5 :kacmoodyC11_3,

Central charge 51-52

c=51 :kacmoodyA15_4, kacmoodyB8_9,
c=1890/37 :kacmoodyD18_3,
c=460/9 :kacmoodyD12_5,
c=975/19 :kacmoodyA13_5,
c=155/3 :kacmoodyC15_2,

Central charge 52-53

c=1197/23 :kacmoodyA19_3,
c=992/19 :kacmoodyE8_8,
c=1624/31 :kacmoodyB14_4,
c=105/2 :kacmoodyC7_8,
c=999/19 :kacmoodyB18_3,

Central charge 53-54

c=375/7 :kacmoodyB12_5,

Central charge 54-55

c=703/13 :kacmoodyD19_3,
c=435/8 :kacmoodyD15_4,
c=272/5 :kacmoodyB8_10, kacmoodyC8_6,
c=384/7 :kacmoodyA16_4,

Central charge 55-56

c=55 :kacmoodyA20_3,
c=2223/40 :kacmoodyB19_3,
c=1056/19 :kacmoodyC16_2,
c=945/17 :kacmoodyC7_9,

Central charge 56-57

c=56 :kacmoodyA14_5, kacmoodyC10_4, lat-L_56,2^(7)(M), lat-L_56,2(M), lat-L_56,2(tilde(M)), latorb-L_56,2^(7)(M), latorb-L_56,2(M), latorb-L_56,2(tilde(M)),
c=1625/29 :kacmoodyD13_5,
c=225/4 :kacmoodyC12_3,
c=620/11 :kacmoodyB15_4,

Central charge 57-58

c=57 :kacmoodyC9_5,
c=2340/41 :kacmoodyD20_3,
c=744/13 :kacmoodyE8_9,
c=1449/25 :kacmoodyA21_3,

Central charge 58-59

c=175/3 :kacmoodyC7_10,
c=992/17 :kacmoodyD16_4,
c=117/2 :kacmoodyB13_5,
c=410/7 :kacmoodyB20_3,
c=646/11 :kacmoodyA17_4,

Central charge 59-60

c=119/2 :kacmoodyC17_2, kacmoodyC8_7,

Central charge 60-61

c=2583/43 :kacmoodyD21_3,
c=2112/35 :kacmoodyB16_4,
c=425/7 :kacmoodyA15_5,
c=792/13 :kacmoodyA22_3,
c=1890/31 :kacmoodyD14_5,

Central charge 61-62

c=2709/44 :kacmoodyB21_3,
c=1053/17 :kacmoodyC13_3,

Central charge 62-63

c=62 :kacmoodyE8_10,
c=187/3 :kacmoodyD17_4,

Central charge 63-64

c=946/15 :kacmoodyD22_3,
c=253/4 :kacmoodyC11_4,
c=444/7 :kacmoodyC18_2,
c=1015/16 :kacmoodyB14_5,
c=575/9 :kacmoodyA23_3,

Central charge 64-65

c=64 :kacmoodyC8_8, lat-L8,2.otimes.L_32,2, lat-MW64, lat-Ne_64, latorb-L8,2.otimes.L_32,2, latorb-MW64, latorb-Ne_64,
c=2380/37 :kacmoodyB17_4,
c=1485/23 :kacmoodyB22_3,

Central charge 65-66

c=720/11 :kacmoodyA16_5,
c=525/8 :kacmoodyC10_5,
c=725/11 :kacmoodyD15_5,

Central charge 66-67

c=3105/47 :kacmoodyD23_3,
c=468/7 :kacmoodyA24_3,

Central charge 67-68

c=741/11 :kacmoodyC19_2,
c=1081/16 :kacmoodyB23_3,
c=203/3 :kacmoodyC14_3,

Central charge 68-69

c=68 :kacmoodyC8_9,
c=2325/34 :kacmoodyB15_5,

Central charge 69-70

c=3384/49 :kacmoodyD24_3,

Central charge 70-71

c=1615/23 :kacmoodyA17_5,
c=1764/25 :kacmoodyB24_3,
c=1200/17 :kacmoodyC12_4,
c=496/7 :kacmoodyD16_5,

Central charge 71-72

c=1640/23 :kacmoodyC20_2,
c=1360/19 :kacmoodyC8_10,

Central charge 72-73

c=72 :lat-L24,2.otimes.L_24,2, latorb-L24,2.otimes.L_24,2,

Central charge 73-74

c=220/3 :kacmoodyB16_5,
c=1395/19 :kacmoodyC15_3,

Central charge 74-75

c=1265/17 :kacmoodyC11_5,

Central charge 75-76

c=301/4 :kacmoodyC21_2,
c=2805/37 :kacmoodyD17_5,

Central charge 76-77

Central charge 77-78

Central charge 78-79

c=78 :kacmoodyC13_4, lat-Fi_{22}-invariant lattice I, lat-Fi_22 invariant lattice II,
c=2975/38 :kacmoodyB17_5,

Central charge 79-80

c=396/5 :kacmoodyC16_3, kacmoodyC22_2,

Central charge 80-81

c=80 :lat-L80, lat-M80,

Central charge 81-82

Central charge 82-83

Central charge 83-84

c=1081/13 :kacmoodyC23_2,
c=250/3 :kacmoodyC12_5,

Central charge 84-85

Central charge 85-86

c=85 :kacmoodyC17_3,
c=1624/19 :kacmoodyC14_4,

Central charge 86-87

Central charge 87-88

c=784/9 :kacmoodyC24_2,

Central charge 88-89

Central charge 89-90

Central charge 90-91

c=999/11 :kacmoodyC18_3,

Central charge 91-92

Central charge 92-93

c=1755/19 :kacmoodyC13_5,

Central charge 93-94

c=93 :kacmoodyC15_4,

Central charge 94-95

Central charge 95-96

Central charge 96-97

c=2223/23 :kacmoodyC19_3,

Central charge 97-98

Central charge 98-99

Central charge 99-100

Central charge 100-101

c=704/7 :kacmoodyC16_4,

Central charge 101-102

c=203/2 :kacmoodyC14_5,

Central charge 102-103

c=205/2 :kacmoodyC20_3,

Central charge 103-104

Central charge 104-105

Central charge 105-106

c=105 :lat-A9_105,

Central charge 106-107

Central charge 107-108

Central charge 108-109

c=1190/11 :kacmoodyC17_4,
c=2709/25 :kacmoodyC21_3,

Central charge 109-110

Central charge 110-111

c=775/7 :kacmoodyC15_5,

Central charge 111-112

Central charge 112-113

Central charge 113-114

Central charge 114-115

c=1485/13 :kacmoodyC22_3,

Central charge 115-116

Central charge 116-117

Central charge 117-118

Central charge 118-119

Central charge 119-120

Central charge 120-121

c=120 :kacmoodyC16_5,
c=1081/9 :kacmoodyC23_3,

Central charge 121-122

Central charge 122-123

Central charge 123-124

Central charge 124-125

Central charge 125-126

Central charge 126-127

c=126 :kacmoodyC24_3,

Central charge 127-128

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