List of MTCs by level
The online database of Vertex Operator Algebras and Modular Categories (Version 0.5)
Terry Gannon, Gerald Höhn, Hiroshi Yamauchi, ...
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Level 1: finiteGr-1-1-1, kmE8_1, qu2^5, trivial,
Level 2: finiteGr-2-4-1, finiteGr-4-16-2, finiteGr-8-64-3, kmD12_1, kmD16_1, kmD20_1, kmD24_1, kmD4_1, kmD8_1, qu2, qv2,
Level 3: finiteGr-3-9-1, finiteGr-9-81-2, kmA2_1, kmE6_1, qs3, qs3-,
Level 4: finiteGr-16-88-1, finiteGr-16-88-2, finiteGr-16-88-4, finiteGr-16-88-5, finiteGr-16-88-6, finiteGr-32-100-1, finiteGr-4-16-1, finiteGr-8-22-1, finiteGr-8-22-2, finiteGr-8-64-2, kmA1_1, kmD10_1, kmD14_1, kmD18_1, kmD22_1, kmD6_1, kmE7_1, qs2, qs2-, qs2-^2, qs2^2, qs2.qs2-, qu4, qv4,
Level 5: finiteGr-5-25-1, kmA4_1, kmF4_1, kmG2_1, lee_yang, lee_yang-, qn5, qs5,
Level 6: finiteGr-108-84-1, finiteGr-12-14-1, finiteGr-12-32-2, finiteGr-18-44-2, finiteGr-18-72-1, finiteGr-24-56-1, finiteGr-36-64-1, finiteGr-48-94-2, finiteGr-54-84-1, finiteGr-54-84-3, finiteGr-6-36-1, finiteGr-6-8-1,
Level 7: 3fieldsx, 3fieldsx-, 5fieldsx, 5fieldsx-, finiteGr-7-49-1, kmA6_1, qs7, qs7-,
Level 8: finiteGr-16-46-1, finiteGr-16-46-2, finiteGr-16-46-3, finiteGr-16-88-3, finiteGr-32-100-2, finiteGr-32-100-3, finiteGr-32-100-4, finiteGr-32-100-5, finiteGr-8-64-1, kmA3_1, kmD11_1, kmD13_1, kmD15_1, kmD17_1, kmD19_1, kmD21_1, kmD23_1, kmD5_1, kmD7_1, kmD9_1, qn4, qn4-, qs4, qs4-, qu8, qv8,
Level 9: 4fieldsx, 4fieldsx-, finiteGr-9-81-1, kmA8_1, kmG2_2, qs9, qs9-,
Level 10: finiteGr-10-100-1, finiteGr-10-16-1, finiteGr-20-64-2, finiteGr-80-76-1, lee_yang-.qu2,
Level 11: kmA10_1, kmE8_3, kmF4_2, qs11, qs11-,
Level 12: e6double, e6double-, finiteGr-12-32-1, finiteGr-216-80-1, finiteGr-24-21-1, finiteGr-24-42-1, finiteGr-24-86-1, finiteGr-24-86-2, finiteGr-24-86-3, finiteGr-36-36-1, finiteGr-48-84-1, finiteGr-48-84-2, finiteGr-48-94-1, finiteGr-72-32-1, finiteGr-72-60-1, finiteGr-72-77-2, finiteGr-96-96-1, finiteGr-96-96-2, finiteGr-96-96-3, finiteGr-96-96-4, kmA5_1, N2min4,
Level 13: kmA12_1, min10fac6, qn13, qs13,
Level 14: finiteGr-14-28-1, finiteGr-56-58-1,
Level 15: kmA14_1, kmA2_2, qs3-.lee_yang, qs3.lee_yang-,
Level 16: ising1, ising1-, ising2, ising2-, ising3, ising3-, ising4, ising4-, kmA1_2, kmA7_1, kmB10_1, kmB11_1, kmB12_1, kmB13_1, kmB14_1, kmB15_1, kmB16_1, kmB17_1, kmB18_1, kmB19_1, kmB20_1, kmB2_1, kmB21_1, kmB22_1, kmB23_1, kmB24_1, kmB3_1, kmB4_1, kmB5_1, kmB6_1, kmB7_1, kmB8_1, kmB9_1, kmD4_2, kmE8_2, min1, qn8, qn8-, qs8, qs8-,
Level 17: kmA16_1, kmE8_4, qn17, qs17,
Level 18: finiteGr-18-44-1, finiteGr-54-84-2, kmA2_3, kmB4_2, kmD4_3,
Level 19: kmA18_1, qs19, qs19-,
Level 20: finiteGr-160-94-1, finiteGr-200-100-1, finiteGr-20-22-1, finiteGr-20-64-1, finiteGr-40-88-2, kmA1_3, kmA9_1, kmB2_2, kmB4_3, kmC3_1, kmD4_4, N2min8, qs2-.lee_yang, qs2-.lee_yang-, qs2.lee_yang, qs2.lee_yang-,
Level 21: finiteGr-21-25-1, kmA20_1, kmA2_4, kmE6_2, kmG2_3, qs3.3fieldsx-,
Level 22: finiteGr-22-64-1, kmB4_4, kmD4_5,
Level 23: kmA22_1, qs23, qs23-,
Level 24: finiteGr-144-65-1, finiteGr-48-56-1, finiteGr-48-56-2, finiteGr-72-74-1, kmA1_4, kmA2_5, kmB2_3, kmB4_5, kmC3_2, kmC4_1, kmD4_6, kmF4_3, kmG2_4, min3fac5,
Level 25: kmA24_1, qn25, qs25,
Level 26: finiteGr-26-88-1, kmB4_6, kmD4_7, kmF4_4,
Level 27: kmA2_6, kmG2_5, qs27, qs27-,
Level 28: kmA13_1, kmA1_5, kmB2_4, kmB4_7, kmC3_3, kmC4_2, kmC5_1, kmD4_8, kmF4_5, N2min12,
Level 29: qn29, qs29,
Level 30: finiteGr-120-88-1, finiteGr-60-22-1, kmA2_7, kmB4_8, kmF4_6, kmG2_6,
Level 31: qs31, qs31-,
Level 32: kmA15_1, kmA1_6, kmB2_5, kmB4_9, kmC3_4, kmC4_3, kmC5_2, kmC6_1, kmD8_2, kmF4_7, N2min6, qn16, qn16-, qs16, qs16-,
Level 33: kmA2_8, kmG2_7,
Level 34: kmB4_10, kmB8_2, kmD8_3, kmF4_8,
Level 35: kmA4_2, kmE8_5, lee_yang.3fieldsx-,
Level 36: finiteGr-72-77-1, kmA1_7, kmA17_1, kmA2_9, kmB2_6, kmB8_3, kmC3_5, kmC4_4, kmC5_3, kmC6_2, kmC7_1, kmD8_4, kmF4_9, kmG2_8,
Level 37: qn37, qs37,
Level 38: kmB8_4, kmD8_5, kmF4_10,
Level 39: finiteGr-39-65-1, haagerup12, haagerup12-, kmA2_10, kmG2_9,
Level 40: finiteGr-40-88-1, kmA1_8, kmA19_1, kmA4_3, kmB2_7, kmB8_5, kmC3_6, kmC4_5, kmC5_4, kmC6_3, kmC7_2, kmC8_1, lee_yang-^2.qs4-, N2min3,
Level 41: qn41, qs41,
Level 42: finiteGr-168-54-1, finiteGr-42-100-1, finiteGr-42-44-1, kmG2_10,
Level 43: qs43, qs43-,
Level 44: kmA1_9, kmA21_1, kmB2_8, kmC3_7, kmC4_6, kmC5_5, kmC6_4, kmC7_3, kmC8_2, kmC9_1,
Level 45: kmA4_4, kmE6_3,
Level 46:
Level 47: qs47, qs47-,
Level 48: kmA1_10, kmA23_1, kmA3_2, kmB2_9, kmC10_1, kmC3_8, kmC4_7, kmC7_4, kmC8_3, kmC9_2, kmD12_2, kmD6_2, kmE6_4, N2min10,
Level 49: qs49, qs49-,
Level 50: kmA4_5, kmB12_2, kmD12_3,
Level 51: kmE6_5,
Level 52: finiteGr-52-58-1, kmA1_11, kmA11_1, kmB12_3, kmB2_10, kmB6_2, kmC10_2, kmC11_1, kmC3_9, kmC9_3, kmD6_3,
Level 53: qn53, qs53,
Level 54:
Level 55: finiteGr-55-49-1, kmA4_6,
Level 56: kmA1_12, kmA3_3, kmB3_2, kmB6_3, kmC10_3, kmC11_2, kmC12_1, kmC3_10, kmD6_4, N2min5,
Level 57:
Level 58:
Level 59: qs59, qs59-,
Level 60: finiteGr-120-39-1, finiteGr-120-74-1, finiteGr-300-84-1, finiteGr-360-44-1, finiteGr-60-86-1, kmA1_13, kmA4_7, kmB6_4, kmC11_3, kmC12_2, kmC13_1, kmD6_5,
Level 61: qn61, qs61,
Level 62:
Level 63: kmA6_2,
Level 64: kmA1_14, kmA3_4, kmB3_3, kmB6_5, kmC12_3, kmC13_2, kmC14_1, kmD16_2, qn32, qn32-, qs32, qs32-,
Level 65: kmA4_8,
Level 66: kmB16_2,
Level 67: qs67, qs67-,
Level 68: finiteGr-68-88-1, kmA1_15, kmC14_2, kmC15_1,
Level 69:
Level 70: kmA6_3,
Level 71: qs71, qs71-,
Level 72: kmA1_16, kmA3_5, kmB3_4, kmC15_2, kmC16_1, N2min7,
Level 73: qn73, qs73,
Level 74:
Level 75:
Level 76: kmA1_17, kmC16_2, kmC17_1,
Level 77: kmA6_4,
Level 78: finiteGr-78-64-1,
Level 79: qs79, qs79-,
Level 80: kmA1_18, kmA3_6, kmB3_5, kmC17_2, kmC18_1, kmD10_2, kmD20_2, kmD5_2, kmE7_2, lee_yang-.ising4, min2, N1min1,
Level 81: qs81, qs81-,
Level 82: kmB20_2,
Level 83: qs83, qs83-,
Level 84: finiteGr-168-32-1, kmA1_19, kmA6_5, kmB10_2, kmC18_2, kmC19_1, kmD10_3, kmE7_3,
Level 85:
Level 86:
Level 87:
Level 88: kmA1_20, kmA3_7, kmB10_3, kmB3_6, kmB5_2, kmC19_2, kmC20_1, kmD5_3, kmE7_4, N2min9,
Level 89: qn89, qs89,
Level 90:
Level 91:
Level 92: kmA1_21, kmC20_2, kmC21_1, kmE7_5,
Level 93:
Level 94:
Level 95:
Level 96: kmA1_22, kmA3_8, kmA5_2, kmB3_7, kmB5_3, kmC21_2, kmC22_1, kmD24_2, kmD5_4, N1min4,
Level 97: qn97, qs97,
Level 98: kmB24_2,
Level 99: kmA8_2,
Level 100: kmA1_23, kmC22_2, kmC23_1,
Level 101:
Level 102:
Level 103:
Level 104: kmA1_24, kmA3_9, kmB3_8, kmB5_4, kmC23_2, kmC24_1, kmD5_5, N2min11,
Level 105:
Level 106:
Level 107:
Level 108: kmA1_25, kmA5_3, kmA8_3, kmC24_2,
Level 109:
Level 110:
Level 111:
Level 112: kmA1_26, kmA3_10, kmB3_9, kmB5_5, kmD14_2, kmD7_2,
Level 113:
Level 114: finiteGr-114-96-1,
Level 115:
Level 116: kmA1_27, kmB14_2, kmD14_3,
Level 117: kmA8_4,
Level 118:
Level 119:
Level 120: kmA1_28, kmA5_4, kmB14_3, kmB3_10, kmB7_2, kmD7_3, lee_yang.min3fac5, min3,
Level 121:
Level 122:
Level 123:
Level 124: kmA1_29,
Level 125:
Level 126: kmA2_3.3fieldsx,
Level 127:
Level 128: kmA1_30, kmB7_3, kmD7_4, qn64, qn64-, qs64, qs64-,
Level 129:
Level 130:
Level 131:
Level 132: kmA5_5,
Level 133:
Level 134:
Level 135:
Level 136: finiteGr-136-100-1, kmB7_4, kmD7_5,
Level 137:
Level 138:
Level 139:
Level 140:
Level 141:
Level 142:
Level 143: kmA10_2,
Level 144: kmB7_5, kmD18_2, kmD9_2,
Level 145:
Level 146:
Level 147:
Level 148: kmB18_2,
Level 149:
Level 150:
Level 151:
Level 152: kmB9_2, kmD9_3,
Level 153:
Level 154: kmA10_3,
Level 155:
Level 156:
Level 157:
Level 158:
Level 159:
Level 160: kmA7_2, kmB9_3, kmD9_4, N1min6,
Level 161:
Level 162:
Level 163:
Level 164:
Level 165:
Level 166:
Level 167:
Level 168: 3fieldsx-.min3fac5-, finiteGr-336-65-1, kmB9_4, kmD9_5, min4,
Level 169:
Level 170:
Level 171:
Level 172:
Level 173:
Level 174:
Level 175:
Level 176: kmA7_3, kmB9_5, kmD11_2, kmD22_2,
Level 177:
Level 178:
Level 179:
Level 180: kmB22_2,
Level 181:
Level 182:
Level 183:
Level 184: kmB11_2, kmD11_3,
Level 185:
Level 186:
Level 187:
Level 188:
Level 189:
Level 190:
Level 191:
Level 192: kmA7_4, kmB11_3,
Level 193:
Level 194:
Level 195: kmA12_2,
Level 196:
Level 197:
Level 198:
Level 199:
Level 200:
Level 201:
Level 202:
Level 203:
Level 204:
Level 205:
Level 206:
Level 207:
Level 208: kmA7_5, kmD13_2,
Level 209:
Level 210:
Level 211:
Level 212:
Level 213:
Level 214:
Level 215:
Level 216: kmB13_2, kmD13_3,
Level 217:
Level 218:
Level 219:
Level 220:
Level 221:
Level 222:
Level 223:
Level 224: kmB13_3, min5,
Level 225:
Level 226:
Level 227:
Level 228:
Level 229:
Level 230:
Level 231:
Level 232:
Level 233:
Level 234:
Level 235:
Level 236:
Level 237:
Level 238:
Level 239:
Level 240: kmA9_2, kmD15_2, N1min8,
Level 241:
Level 242:
Level 243:
Level 244:
Level 245:
Level 246:
Level 247:
Level 248: kmB15_2,
Level 249:
Level 250:
Level 251:
Level 252:
Level 253:
Level 254:
Level 255: kmA14_2,
Level 256:
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