Tags
Every lattice of the catalogue, by rank. A tag is permanent: it names the same lattice in every later version.
Rank 1
Rank 2
- 0011 \(\mathrm{I}_{2,0}\) (2, 0)
- 0012 \(A_{2}\) (2, 0)
- 0013 \(U(2)\) (1, 1)
- 0014 \(\langle 2 \rangle \oplus \langle -2 \rangle\) (1, 1)
- 0015 \(\mathrm{I}_{1,1}\) (1, 1)
- 0016 \(U\) (1, 1)
- 0017 \(A_{2}^{*}\) (2, 0)
- 0021 \(\langle 1 \rangle \oplus \langle -2 \rangle\) (1, 1)
- 02BQ \(\mathrm{BGF.2.2112}\) (2, 0)
- 02BR \(\mathrm{BGF.2.213}\) (2, 0)
- 02BS \(\mathrm{BGF.2.214}\) (2, 0)
- 02BT \(\mathrm{BGF.2.216}\) (2, 0)
Rank 3
- 0022 \(\mathrm{I}_{3,0}\) (3, 0)
- 0023 \(A_{3}\) (3, 0)
- 0024 \(U(2) \oplus \langle -2 \rangle\) (1, 2)
- 0025 \(\mathrm{I}_{1,2}\) (1, 2)
- 0026 \(U \oplus A_{1}(-1)\) (1, 2)
- 0027 \(A_{3}^{*}\) (3, 0)
- 0029 \(A_{2} \oplus A_{1}\) (3, 0)
- 0031 \(\widetilde{A}_{2}\) (2, 0)
- 0268 \(\langle -1 \rangle^{2} \oplus \langle 3 \rangle\) (1, 2)
- 02A7 \(\langle 1 \rangle \oplus A_{2}(4)\) (3, 0)
- 02AB \(\begin{pmatrix} 2 & 0 & 1 \\ 0 & 2 & 1 \\ 1 & 1 & 4 \end{pmatrix}\) (3, 0)
- 02AC \(\langle 1 \rangle \oplus A_{2}(3)\) (3, 0)
- 02AE \(\begin{pmatrix} 4 & 1 \\ 1 & 4 \end{pmatrix} \oplus \langle 20 \rangle\) (3, 0)
- 02AF \(\begin{pmatrix} 4 & 2 & 2 \\ 2 & 6 & 1 \\ 2 & 1 & 16 \end{pmatrix}\) (3, 0)
- 02AG \(\begin{pmatrix} 2 & 1 \\ 1 & 4 \end{pmatrix} \oplus \langle 28 \rangle\) (3, 0)
- 02AH \(\begin{pmatrix} 4 & 2 & 2 \\ 2 & 8 & 1 \\ 2 & 1 & 8 \end{pmatrix}\) (3, 0)
- 02AJ \(\langle 1 \rangle \oplus \langle 2 \rangle \oplus \langle 3 \rangle\) (3, 0)
- 02AK \(\langle 1 \rangle \oplus A_{2}\) (3, 0)
- 02AL \(\begin{pmatrix} 4 & 2 & 2 \\ 2 & 4 & 1 \\ 2 & 1 & 4 \end{pmatrix}\) (3, 0)
- 02AM \(\begin{pmatrix} 2 & 1 \\ 1 & 8 \end{pmatrix} \oplus \langle 12 \rangle\) (3, 0)
- 02AN \(\begin{pmatrix} 6 & 0 & 3 \\ 0 & 6 & 3 \\ 3 & 3 & 8 \end{pmatrix}\) (3, 0)
- 02AO \(\langle 1 \rangle \oplus \langle 2 \rangle^{2}\) (3, 0)
- 02AP \(\begin{pmatrix} 2 & 0 & 1 \\ 0 & 2 & 1 \\ 1 & 1 & 6 \end{pmatrix}\) (3, 0)
Rank 4
- 0033 \(\mathrm{I}_{4,0}\) (4, 0)
- 0034 \(A_{4}\) (4, 0)
- 0035 \(D_{4}\) (4, 0)
- 0036 \(U \oplus U(2)\) (2, 2)
- 0038 \(\mathrm{I}_{1,3}\) (1, 3)
- 0039 \(U \oplus A_{2}(-1)\) (1, 3)
- 0040 \(U^{2}\) (2, 2)
- 0041 \(A_{4}^{*}\) (4, 0)
- 0042 \(D_{4}^{*}\) (4, 0)
- 0043 \(A_{2}^{2}\) (4, 0)
- 0046 \(\mathrm{I}_{2,2}\) (2, 2)
- 0047 \(\widetilde{A}_{3}\) (3, 0)
- 0269 \(\langle -1 \rangle^{3} \oplus \langle 7 \rangle\) (1, 3)
- 026A \(U \oplus A_{1}(-1)^{2}\) (1, 3)
- 028L \(\langle 2 \rangle \oplus A_{1}(-1)^{3}\) (1, 3)
- 029X \(U(4) \oplus \langle -1 \rangle \oplus \langle -2 \rangle\) (1, 3)
- 029Z \(U(5) \oplus \begin{pmatrix} -4 & -2 \\ -2 & -6 \end{pmatrix}\) (1, 3)
- 02A0 \(U(7) \oplus \begin{pmatrix} -2 & -1 \\ -1 & -4 \end{pmatrix}\) (1, 3)
- 02A3 \(A_{2}(-1) \oplus \langle -6 \rangle \oplus \langle 18 \rangle\) (1, 3)
- 02A4 \(U \oplus A_{2}(-2)\) (1, 3)
- 02A6 \(U \oplus \langle -6 \rangle^{2}\) (1, 3)
- 02A8 \(U \oplus A_{2}(-10)\) (1, 3)
- 02A9 \(\langle -1 \rangle^{3} \oplus \langle 2 \rangle\) (1, 3)
- 02AA \(U(3) \oplus A_{2}(-4)\) (1, 3)
- 02AD \(A_{2}(-1) \oplus \langle -2 \rangle \oplus \langle 4 \rangle\) (1, 3)
- 02AI \(\begin{pmatrix} -2 & 0 & -1 & 0 \\ 0 & -2 & -1 & 0 \\ -1 & -1 & -2 & -2 \\ 0 & 0 & -2 & 0 \end{pmatrix}\) (1, 3)
Rank 5
- 0049 \(\mathrm{I}_{5,0}\) (5, 0)
- 0050 \(A_{5}\) (5, 0)
- 0051 \(D_{5}\) (5, 0)
- 0052 \(\mathrm{I}_{1,4}\) (1, 4)
- 0053 \(U \oplus A_{3}(-1)\) (1, 4)
- 0054 \(A_{5}^{*}\) (5, 0)
- 0055 \(D_{5}^{*}\) (5, 0)
- 0056 \(A_{3} \oplus A_{2}\) (5, 0)
- 0057 \(D_{4} \oplus A_{1}\) (5, 0)
- 0059 \(\mathrm{I}_{2,3}\) (2, 3)
- 0060 \(\widetilde{D}_{4}\) (4, 0)
- 026B \(U \oplus A_{1}(-1)^{3}\) (1, 4)
- 028M \(\langle 2 \rangle \oplus A_{1}(-1)^{4}\) (1, 4)
- 029R \(\begin{pmatrix} -3 & -1 & -1 \\ -1 & -3 & 1 \\ -1 & 1 & -3 \end{pmatrix} \oplus \langle 1 \rangle^{2}\) (2, 3)
- 02A1 \(U \oplus A_{2}(-4) \oplus \langle 12 \rangle\) (2, 3)
- 02A2 \(U \oplus \langle -2 \rangle \oplus \langle 2 \rangle \oplus \langle -4 \rangle\) (2, 3)
- 02A5 \(U \oplus A_{2}(-1) \oplus \langle 4 \rangle\) (2, 3)
Rank 6
- 0061 \(\mathrm{I}_{6,0}\) (6, 0)
- 0062 \(A_{6}\) (6, 0)
- 0063 \(D_{6}\) (6, 0)
- 0064 \(E_{6}\) (6, 0)
- 0065 \(\mathrm{I}_{1,5}\) (1, 5)
- 0066 \(U \oplus D_{4}(-1)\) (1, 5)
- 0067 \(U^{3}\) (3, 3)
- 0068 \(A_{6}^{*}\) (6, 0)
- 0069 \(D_{6}^{*}\) (6, 0)
- 0070 \(E_{6}^{*}\) (6, 0)
- 0071 \(A_{2}^{3}\) (6, 0)
- 0072 \(A_{3}^{2}\) (6, 0)
- 0074 \(\mathrm{I}_{2,4}\) (2, 4)
- 0075 \(\widetilde{D}_{5}\) (5, 0)
- 026C \(U(2) \oplus D_{4}(-1)\) (1, 5)
- 026D \(U \oplus A_{1}(-1)^{4}\) (1, 5)
- 028N \(\langle 2 \rangle \oplus A_{1}(-1)^{5}\) (1, 5)
- 029S \(U \oplus U(5)^{2}\) (3, 3)
- 029T \(U \oplus A_{2}(2) \oplus A_{2}(-4)\) (3, 3)
- 029U \(U \oplus U(6)^{2}\) (3, 3)
- 029W \(U \oplus \langle 2 \rangle^{2} \oplus \langle -2 \rangle^{2}\) (3, 3)
- 029Y \(U(3)^{2} \oplus \begin{pmatrix} 2 & 3 \\ 3 & 0 \end{pmatrix}\) (3, 3)
Rank 7
- 0076 \(\mathrm{I}_{7,0}\) (7, 0)
- 0077 \(A_{7}\) (7, 0)
- 0078 \(D_{7}\) (7, 0)
- 0079 \(E_{7}\) (7, 0)
- 0080 \(K_{7}\) (7, 0)
- 0081 \(\mathrm{I}_{1,6}\) (1, 6)
- 0082 \(U \oplus D_{5}(-1)\) (1, 6)
- 0083 \(A_{7}^{*}\) (7, 0)
- 0084 \(D_{7}^{*}\) (7, 0)
- 0085 \(E_{7}^{*}\) (7, 0)
- 0086 \(D_{4} \oplus A_{3}\) (7, 0)
- 0087 \(E_{6} \oplus A_{1}\) (7, 0)
- 0089 \(\mathrm{I}_{2,5}\) (2, 5)
- 0090 \(\widetilde{E}_{6}\) (6, 0)
- 026E \(U \oplus D_{4}(-1) \oplus A_{1}(-1)\) (1, 6)
- 026F \(U(2) \oplus D_{4}(-1) \oplus A_{1}(-1)\) (1, 6)
- 0283 \(U^{3} \oplus \langle -6 \rangle\) (3, 4)
- 0284 \(U^{3} \oplus \langle -8 \rangle\) (3, 4)
- 0285 \(U^{3} \oplus \langle -10 \rangle\) (3, 4)
- 0286 \(U^{3} \oplus \langle -12 \rangle\) (3, 4)
- 028O \(\langle 2 \rangle \oplus A_{1}(-1)^{6}\) (1, 6)
- 029Q \(U \oplus \langle 4 \rangle^{2} \oplus \langle -4 \rangle^{3}\) (3, 4)
- 029V \(U^{3} \oplus \langle -4 \rangle\) (3, 4)
Rank 8
- 0091 \(\mathrm{I}_{8,0}\) (8, 0)
- 0092 \(A_{8}\) (8, 0)
- 0093 \(D_{8}\) (8, 0)
- 0094 \(E_{8}\) (8, 0)
- 0096 \(K_{8}\) (8, 0)
- 0097 \(\mathrm{I}_{1,7}\) (1, 7)
- 0098 \(U \oplus E_{6}(-1)\) (1, 7)
- 0099 \(U^{4}\) (4, 4)
- 0100 \(A_{8}^{*}\) (8, 0)
- 0101 \(D_{8}^{*}\) (8, 0)
- 0102 \(D_{4}^{2}\) (8, 0)
- 0103 \(E_{7} \oplus A_{1}\) (8, 0)
- 0105 \(\mathrm{I}_{2,6}\) (2, 6)
- 0106 \(\widetilde{E}_{7}\) (7, 0)
- 026G \(U \oplus D_{6}(-1)\) (1, 7)
- 026H \(U(2) \oplus D_{6}(-1)\) (1, 7)
- 026I \(U(2) \oplus D_{4}(-1) \oplus A_{1}(-1)^{2}\) (1, 7)
- 0287 \(U^{3} \oplus \langle -2 \rangle^{2}\) (3, 5)
- 028P \(\langle 2 \rangle \oplus A_{1}(-1)^{7}\) (1, 7)
- 029H \(\mathrm{Nik}(-1)\) (8, 0)
- 029O \(U \oplus U(4)^{2} \oplus \langle -2 \rangle^{2}\) (3, 5)
- 029P \(U(3) \oplus A_{2}(2) \oplus A_{2}(-1)^{2}\) (3, 5)
Rank 9
- 0107 \(\mathrm{I}_{9,0}\) (9, 0)
- 0108 \(A_{9}\) (9, 0)
- 0109 \(D_{9}\) (9, 0)
- 0110 \(\Lambda_{9}\) (9, 0)
- 0111 \(K_{9}\) (9, 0)
- 0112 \(\mathrm{I}_{1,8}\) (1, 8)
- 0113 \(U \oplus E_{7}(-1)\) (1, 8)
- 0114 \(A_{9}^{*}\) (9, 0)
- 0115 \(D_{9}^{*}\) (9, 0)
- 0116 \(E_{8} \oplus A_{1}\) (9, 0)
- 0118 \(\mathrm{I}_{2,7}\) (2, 7)
- 0119 \(\widetilde{E}_{8}\) (8, 0)
- 026J \(U(2) \oplus E_{7}(-1)\) (1, 8)
- 026K \(U(2) \oplus D_{6}(-1) \oplus A_{1}(-1)\) (1, 8)
- 026L \(U \oplus A_{1}(-1)^{7}\) (1, 8)
- 028Q \(\langle 2 \rangle \oplus A_{1}(-1)^{8}\) (1, 8)
Rank 10
- 0120 \(\mathrm{I}_{10,0}\) (10, 0)
- 0121 \(A_{10}\) (10, 0)
- 0122 \(D_{10}\) (10, 0)
- 0123 \(\Lambda_{10}\) (10, 0)
- 0124 \(U \oplus E_{8}(-2)\) (1, 9)
- 0125 \(U(2) \oplus E_{8}(-2)\) (1, 9)
- 0126 \(\mathrm{I}_{1,9}\) (1, 9)
- 0127 \(U \oplus D_{8}(-1)\) (1, 9)
- 0128 \(U \oplus E_{8}(-1)\) (1, 9)
- 0129 \(A_{10}^{*}\) (10, 0)
- 0130 \(D_{10}^{*}\) (10, 0)
- 0131 \(E_{8} \oplus A_{2}\) (10, 0)
- 0133 \(\mathrm{I}_{2,8}\) (2, 8)
- 026M \(U \oplus E_{7}(-1) \oplus A_{1}(-1)\) (1, 9)
- 026N \(U(2) \oplus D_{8}(-1)\) (1, 9)
- 026O \(U \oplus D_{6}(-1) \oplus A_{1}(-1)^{2}\) (1, 9)
- 026P \(U(2) \oplus D_{4}(-1)^{2}\) (1, 9)
- 026Q \(U(2) \oplus D_{6}(-1) \oplus A_{1}(-1)^{2}\) (1, 9)
- 026R \(U \oplus A_{1}(-1)^{8}\) (1, 9)
- 028R \(\langle 2 \rangle \oplus A_{1}(-1)^{9}\) (1, 9)
- 029M \(U \oplus U(3)^{2} \oplus A_{2}(-1)^{2}\) (3, 7)
- 029N \(U \oplus U(2)^{2} \oplus D_{4}(-2)\) (3, 7)
Rank 11
- 0134 \(\mathrm{I}_{11,0}\) (11, 0)
- 0135 \(A_{11}\) (11, 0)
- 0136 \(D_{11}\) (11, 0)
- 0137 \(\Lambda_{11}\) (11, 0)
- 0138 \(\langle 2 \rangle \oplus A_{1}(-1)^{10}\) (1, 10)
- 0139 \(\mathrm{I}_{1,10}\) (1, 10)
- 0140 \(U \oplus D_{9}(-1)\) (1, 10)
- 0141 \(A_{11}^{*}\) (11, 0)
- 0142 \(D_{11}^{*}\) (11, 0)
- 0143 \(E_{8} \oplus A_{3}\) (11, 0)
- 0145 \(\mathrm{I}_{2,9}\) (2, 9)
- 026S \(U \oplus E_{8}(-1) \oplus A_{1}(-1)\) (1, 10)
- 026T \(U \oplus D_{8}(-1) \oplus A_{1}(-1)\) (1, 10)
- 026U \(U \oplus D_{6}(-1) \oplus A_{1}(-1)^{3}\) (1, 10)
- 026V \(U(2) \oplus D_{6}(-1) \oplus A_{1}(-1)^{3}\) (1, 10)
- 026W \(U \oplus E_{8}(-2) \oplus A_{1}(-1)\) (1, 10)
Rank 12
- 0146 \(\mathrm{I}_{12,0}\) (12, 0)
- 0147 \(A_{12}\) (12, 0)
- 0148 \(D_{12}\) (12, 0)
- 0149 \(\Lambda_{12}\) (12, 0)
- 0150 \(K_{12}\) (12, 0)
- 0151 \(D_{12}^{+}\) (12, 0)
- 0152 \(U \oplus A_{1}(-1)^{10}\) (1, 11)
- 0153 \(U^{2} \oplus E_{8}(-2)\) (2, 10)
- 0154 \(\mathrm{I}_{1,11}\) (1, 11)
- 0155 \(U \oplus D_{10}(-1)\) (1, 11)
- 0156 \(U^{2} \oplus E_{8}(-1)\) (2, 10)
- 0157 \(A_{12}^{*}\) (12, 0)
- 0158 \(D_{12}^{*}\) (12, 0)
- 0159 \(E_{8} \oplus D_{4}\) (12, 0)
- 0160 \(E_{6}^{2}\) (12, 0)
- 0162 \(\mathrm{I}_{2,10}\) (2, 10)
- 026X \(U \oplus D_{8}(-1) \oplus A_{1}(-1)^{2}\) (1, 11)
- 026Y \(U(2) \oplus D_{6}(-1) \oplus D_{4}(-1)\) (1, 11)
- 026Z \(U(2) \oplus D_{6}(-1) \oplus A_{1}(-1)^{4}\) (1, 11)
- 029J \(U \oplus U(2) \oplus E_{8}(-2)\) (2, 10)
Rank 13
- 0163 \(\mathrm{I}_{13,0}\) (13, 0)
- 0164 \(A_{13}\) (13, 0)
- 0165 \(D_{13}\) (13, 0)
- 0166 \(\Lambda_{13}\) (13, 0)
- 0167 \(U \oplus D_{4}(-1) \oplus A_{1}(-1)^{7}\) (1, 12)
- 0168 \(\mathrm{I}_{1,12}\) (1, 12)
- 0169 \(U \oplus D_{11}(-1)\) (1, 12)
- 0170 \(A_{13}^{*}\) (13, 0)
- 0171 \(D_{13}^{*}\) (13, 0)
- 0172 \(E_{8} \oplus D_{5}\) (13, 0)
- 0174 \(\mathrm{I}_{2,11}\) (2, 11)
- 0270 \(U \oplus E_{7}(-1) \oplus D_{4}(-1)\) (1, 12)
- 0271 \(U(2) \oplus E_{7}(-1) \oplus D_{4}(-1)\) (1, 12)
- 0272 \(U \oplus D_{6}(-1) \oplus A_{1}(-1)^{5}\) (1, 12)
Rank 14
- 0175 \(\mathrm{I}_{14,0}\) (14, 0)
- 0176 \(A_{14}\) (14, 0)
- 0177 \(D_{14}\) (14, 0)
- 0178 \(\Lambda_{14}\) (14, 0)
- 0179 \(U(2) \oplus D_{4}(-1)^{3}\) (1, 13)
- 0180 \(U \oplus D_{4}(-1)^{2} \oplus A_{1}(-1)^{4}\) (1, 13)
- 0181 \(\mathrm{I}_{1,13}\) (1, 13)
- 0182 \(U \oplus D_{12}(-1)\) (1, 13)
- 0183 \(U^{3} \oplus E_{8}(-1)\) (3, 11)
- 0184 \(A_{14}^{*}\) (14, 0)
- 0185 \(D_{14}^{*}\) (14, 0)
- 0186 \(E_{8} \oplus E_{6}\) (14, 0)
- 0187 \(E_{7}^{2}\) (14, 0)
- 0189 \(\mathrm{I}_{2,12}\) (2, 12)
- 0273 \(U \oplus D_{8}(-1) \oplus D_{4}(-1)\) (1, 13)
- 0274 \(U \oplus D_{6}(-1)^{2}\) (1, 13)
- 0275 \(U(2) \oplus D_{8}(-1) \oplus D_{4}(-1)\) (1, 13)
- 0276 \(U(2) \oplus D_{6}(-1)^{2}\) (1, 13)
- 029L \(U^{3} \oplus E_{8}(-2)\) (3, 11)
- 02BN \(\Lambda_{\mathfrak{G}_{9}}(-1)\) (14, 0)
- 02BO \(\Lambda_{\mathfrak{G}_{6}}(-1)\) (14, 0)
- 02BP \(\Lambda_{\mathfrak{G}_{4}}(-1)\) (14, 0)
Rank 15
- 0190 \(\mathrm{I}_{15,0}\) (15, 0)
- 0191 \(A_{15}\) (15, 0)
- 0192 \(D_{15}\) (15, 0)
- 0193 \(\Lambda_{15}\) (15, 0)
- 0194 \(U \oplus E_{7}(-1) \oplus A_{1}(-1)^{6}\) (1, 14)
- 0195 \(\mathrm{I}_{1,14}\) (1, 14)
- 0196 \(U \oplus D_{13}(-1)\) (1, 14)
- 0197 \(A_{15}^{*}\) (15, 0)
- 0198 \(D_{15}^{*}\) (15, 0)
- 0199 \(E_{8} \oplus E_{7}\) (15, 0)
- 0201 \(\mathrm{I}_{2,13}\) (2, 13)
- 0277 \(U \oplus E_{7}(-1) \oplus D_{6}(-1)\) (1, 14)
- 0278 \(U(2) \oplus E_{7}(-1) \oplus D_{6}(-1)\) (1, 14)
- 02BM \(\Lambda_{\mathfrak{G}_{10}}(-1)\) (15, 0)
Rank 16
- 0202 \(\mathrm{I}_{16,0}\) (16, 0)
- 0203 \(A_{16}\) (16, 0)
- 0204 \(D_{16}\) (16, 0)
- 0205 \(\Lambda_{16}\) (16, 0)
- 0206 \(D_{16}^{+}\) (16, 0)
- 0207 \(U \oplus E_{8}(-1) \oplus A_{1}(-1)^{6}\) (1, 15)
- 0208 \(\mathrm{I}_{1,15}\) (1, 15)
- 0209 \(U \oplus D_{14}(-1)\) (1, 15)
- 0210 \(U^{4} \oplus E_{8}(-1)\) (4, 12)
- 0211 \(A_{16}^{*}\) (16, 0)
- 0212 \(D_{16}^{*}\) (16, 0)
- 0213 \(E_{8}^{2}\) (16, 0)
- 0215 \(\mathrm{I}_{2,14}\) (2, 14)
- 0279 \(U \oplus D_{8}(-1) \oplus D_{6}(-1)\) (1, 15)
- 029G \(\mathrm{Kum}(-1)\) (16, 0)
- 02BH \(\Lambda_{\mathfrak{G}_{30}}(-1)\) (16, 0)
- 02BI \(\Lambda_{\mathfrak{G}_{22}}(-1)\) (16, 0)
- 02BJ \(\Lambda_{\mathfrak{G}_{18}}(-1)\) (16, 0)
- 02BK \(\Lambda_{\mathfrak{G}_{17}}(-1)\) (16, 0)
- 02BL \(\Lambda_{\mathfrak{G}_{16}}(-1)\) (16, 0)
Rank 17
- 0216 \(\mathrm{I}_{17,0}\) (17, 0)
- 0217 \(A_{17}\) (17, 0)
- 0218 \(D_{17}\) (17, 0)
- 0219 \(\Lambda_{17}\) (17, 0)
- 0220 \(U \oplus E_{8}(-1) \oplus D_{4}(-1) \oplus A_{1}(-1)^{3}\) (1, 16)
- 0221 \(\mathrm{I}_{1,16}\) (1, 16)
- 0222 \(U \oplus D_{15}(-1)\) (1, 16)
- 0223 \(A_{17}^{*}\) (17, 0)
- 0224 \(D_{17}^{*}\) (17, 0)
- 0225 \(E_{8}^{2} \oplus A_{1}\) (17, 0)
- 0227 \(\mathrm{I}_{2,15}\) (2, 15)
- 027A \(U \oplus E_{8}(-1) \oplus E_{7}(-1)\) (1, 16)
- 027B \(U \oplus E_{7}(-1) \oplus D_{8}(-1)\) (1, 16)
- 02BC \(\Lambda_{\mathfrak{G}_{49}}(-1)\) (17, 0)
- 02BD \(\Lambda_{\mathfrak{G}_{39}}(-1)\) (17, 0)
- 02BE \(\Lambda_{\mathfrak{G}_{40}}(-1)\) (17, 0)
- 02BF \(\Lambda_{\mathfrak{G}_{34}}(-1)\) (17, 0)
- 02BG \(\Lambda_{\mathfrak{G}_{12}}(-1)\) (17, 0)
Rank 18
- 0228 \(\mathrm{I}_{18,0}\) (18, 0)
- 0229 \(A_{18}\) (18, 0)
- 0230 \(D_{18}\) (18, 0)
- 0231 \(\Lambda_{18}\) (18, 0)
- 0232 \(U \oplus E_{8}(-1) \oplus D_{4}(-1)^{2}\) (1, 17)
- 0233 \(U \oplus E_{8}(-1) \oplus D_{6}(-1) \oplus A_{1}(-1)^{2}\) (1, 17)
- 0234 \(\mathrm{I}_{1,17}\) (1, 17)
- 0235 \(U \oplus D_{16}(-1)\) (1, 17)
- 0236 \(U \oplus E_{8}(-1)^{2}\) (1, 17)
- 0237 \(A_{18}^{*}\) (18, 0)
- 0238 \(D_{18}^{*}\) (18, 0)
- 0239 \(E_{8}^{2} \oplus A_{2}\) (18, 0)
- 0241 \(\mathrm{I}_{2,16}\) (2, 16)
- 027C \(U \oplus E_{8}(-1) \oplus E_{7}(-1) \oplus A_{1}(-1)\) (1, 17)
- 02B1 \(\Lambda_{\mathfrak{G}_{75}}(-1)\) (18, 0)
- 02B2 \(\Lambda_{\mathfrak{G}_{65}}(-1)\) (18, 0)
- 02B3 \(\Lambda_{\mathfrak{G}_{61}}(-1)\) (18, 0)
- 02B4 \(\Lambda_{\mathfrak{G}_{56}}(-1)\) (18, 0)
- 02B5 \(\Lambda_{\mathfrak{G}_{55}}(-1)\) (18, 0)
- 02B6 \(\Lambda_{\mathfrak{G}_{51}}(-1)\) (18, 0)
- 02B7 \(\Lambda_{\mathfrak{G}_{46}}(-1)\) (18, 0)
- 02B8 \(\Lambda_{\mathfrak{G}_{48}}(-1)\) (18, 0)
- 02B9 \(\Lambda_{\mathfrak{G}_{33}}(-1)\) (18, 0)
- 02BA \(\Lambda_{\mathfrak{G}_{32}}(-1)\) (18, 0)
- 02BB \(\Lambda_{\mathfrak{G}_{26}}(-1)\) (18, 0)
Rank 19
- 0242 \(\mathrm{I}_{19,0}\) (19, 0)
- 0243 \(A_{19}\) (19, 0)
- 0244 \(D_{19}\) (19, 0)
- 0245 \(\Lambda_{19}\) (19, 0)
- 0246 \(U \oplus E_{8}(-1) \oplus E_{7}(-1) \oplus A_{1}(-1)^{2}\) (1, 18)
- 0247 \(\mathrm{I}_{1,18}\) (1, 18)
- 0248 \(U \oplus D_{17}(-1)\) (1, 18)
- 0249 \(A_{19}^{*}\) (19, 0)
- 0250 \(D_{19}^{*}\) (19, 0)
- 0251 \(E_{8}^{2} \oplus A_{3}\) (19, 0)
- 0253 \(\mathrm{I}_{2,17}\) (2, 17)
- 027D \(U \oplus E_{8}(-1)^{2} \oplus A_{1}(-1)\) (1, 18)
- 02AQ \(\Lambda_{\mathfrak{G}_{81}}(-1)\) (19, 0)
- 02AR \(\Lambda_{\mathfrak{G}_{80}}(-1)\) (19, 0)
- 02AS \(\Lambda_{\mathfrak{G}_{79}}(-1)\) (19, 0)
- 02AT \(\Lambda_{\mathfrak{G}_{78}}(-1)\) (19, 0)
- 02AU \(\Lambda_{\mathfrak{G}_{76}}(-1)\) (19, 0)
- 02AV \(\Lambda_{\mathfrak{G}_{77}}(-1)\) (19, 0)
- 02AW \(\Lambda_{\mathfrak{G}_{74}}(-1)\) (19, 0)
- 02AX \(\Lambda_{\mathfrak{G}_{70}}(-1)\) (19, 0)
- 02AY \(\Lambda_{\mathfrak{G}_{63}}(-1)\) (19, 0)
- 02AZ \(\Lambda_{\mathfrak{G}_{62}}(-1)\) (19, 0)
- 02B0 \(\Lambda_{\mathfrak{G}_{54}}(-1)\) (19, 0)
Rank 20
- 0254 \(\mathrm{I}_{20,0}\) (20, 0)
- 0255 \(A_{20}\) (20, 0)
- 0256 \(D_{20}\) (20, 0)
- 0257 \(\Lambda_{20}\) (20, 0)
- 0258 \(D_{20}^{+}\) (20, 0)
- 0259 \(U \oplus E_{8}(-1)^{2} \oplus A_{1}(-1)^{2}\) (1, 19)
- 0260 \(\mathrm{I}_{1,19}\) (1, 19)
- 0261 \(U^{2} \oplus E_{8}(-1)^{2}\) (2, 18)
- 0262 \(A_{20}^{*}\) (20, 0)
- 0263 \(D_{20}^{*}\) (20, 0)
- 0264 \(E_{8}^{2} \oplus D_{4}\) (20, 0)
- 0266 \(\mathrm{I}_{2,18}\) (2, 18)
Rank 21
- 027H \(\mathrm{I}_{1,20}\) (1, 20)
- 027N \(\mathrm{I}_{2,19}\) (2, 19)
- 027T \(\mathrm{I}_{21,0}\) (21, 0)
- 0289 \(U^{2} \oplus E_{8}(-1)^{2} \oplus \langle -2 \rangle\) (2, 19)
- 028A \(U^{2} \oplus E_{8}(-1)^{2} \oplus \langle -4 \rangle\) (2, 19)
- 028B \(U^{2} \oplus E_{8}(-1)^{2} \oplus \langle -6 \rangle\) (2, 19)
- 028C \(U^{2} \oplus E_{8}(-1)^{2} \oplus \langle -8 \rangle\) (2, 19)
- 028D \(U^{2} \oplus E_{8}(-1)^{2} \oplus \langle -10 \rangle\) (2, 19)
- 028E \(U^{2} \oplus E_{8}(-1)^{2} \oplus \langle -12 \rangle\) (2, 19)
- 028F \(U^{2} \oplus E_{8}(-1)^{2} \oplus \langle -14 \rangle\) (2, 19)
- 028G \(U^{2} \oplus E_{8}(-1)^{2} \oplus \langle -16 \rangle\) (2, 19)
- 028H \(U^{2} \oplus E_{8}(-1)^{2} \oplus \langle -18 \rangle\) (2, 19)
- 028I \(U^{2} \oplus E_{8}(-1)^{2} \oplus \langle -20 \rangle\) (2, 19)
- 028J \(U^{2} \oplus E_{8}(-1)^{2} \oplus \langle -22 \rangle\) (2, 19)
- 028K \(U^{2} \oplus E_{8}(-1)^{2} \oplus \langle -24 \rangle\) (2, 19)
Rank 22
Rank 23
- 027J \(\mathrm{I}_{1,22}\) (1, 22)
- 027P \(\mathrm{I}_{2,21}\) (2, 21)
- 027V \(\mathrm{I}_{23,0}\) (23, 0)
- 027Z \(U^{3} \oplus E_{8}(-1)^{2} \oplus \langle -2 \rangle\) (3, 20)
- 0280 \(U^{3} \oplus E_{8}(-1)^{2} \oplus \langle -4 \rangle\) (3, 20)
- 0281 \(U^{3} \oplus E_{8}(-1)^{2} \oplus \langle -6 \rangle\) (3, 20)
- 0282 \(U^{3} \oplus E_{8}(-1)^{2} \oplus \langle -8 \rangle\) (3, 20)
Rank 24
- 027F \(U^{4} \oplus E_{8}(-1)^{2}\) (4, 20)
- 027K \(\mathrm{I}_{1,23}\) (1, 23)
- 027Q \(\mathrm{I}_{2,22}\) (2, 22)
- 027W \(\mathrm{I}_{24,0}\) (24, 0)
- 0288 \(U^{3} \oplus E_{8}(-1)^{2} \oplus A_{2}(-1)\) (3, 21)
- 028S \(\Lambda_{24}\) (24, 0)
- 028T \(N(A_{1}^{24})\) (24, 0)
- 028U \(N(A_{2}^{12})\) (24, 0)
- 028V \(N(A_{3}^{8})\) (24, 0)
- 028W \(N(A_{4}^{6})\) (24, 0)
- 028X \(N(D_{4}^{6})\) (24, 0)
- 028Y \(N(A_{5}^{4} D_{4})\) (24, 0)
- 028Z \(N(A_{6}^{4})\) (24, 0)
- 0290 \(N(D_{6}^{4})\) (24, 0)
- 0291 \(N(E_{6}^{4})\) (24, 0)
- 0292 \(N(A_{8}^{3})\) (24, 0)
- 0293 \(N(D_{8}^{3})\) (24, 0)
- 0294 \(E_{8}^{3}\) (24, 0)
- 0295 \(N(A_{7}^{2} D_{5}^{2})\) (24, 0)
- 0296 \(N(A_{9}^{2} D_{6})\) (24, 0)
- 0297 \(N(A_{12}^{2})\) (24, 0)
- 0298 \(N(D_{12}^{2})\) (24, 0)
- 0299 \(N(A_{11} D_{7} E_{6})\) (24, 0)
- 029A \(N(A_{15} D_{9})\) (24, 0)
- 029B \(N(A_{17} E_{7})\) (24, 0)
- 029C \(N(A_{24})\) (24, 0)
- 029D \(N(D_{10} E_{7}^{2})\) (24, 0)
- 029E \(D_{16}^{+} \oplus E_{8}\) (24, 0)
- 029F \(D_{24}^{+}\) (24, 0)
Rank 25
Rank 26
Rank 28
- 029K \(U^{2} \oplus E_{8}(-1)^{3}\) (2, 26)