List of MTCs by rank

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

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  • 1 simple objects: finiteGr-1-1-1, kmE8_1, trivial,
  • 2 simple objects: kmA1_1, kmE7_1, kmF4_1, kmG2_1, lee_yang, lee_yang-, qs2, qs2-,
  • 3 simple objects: 3fieldsx, 3fieldsx-, ising1, ising1-, ising2, ising2-, ising3, ising3-, ising4, ising4-, kmA1_2, kmA2_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, kmE6_1, kmE8_2, min1, qs3, qs3-,
  • 4 simple objects: 4fieldsx, 4fieldsx-, finiteGr-2-4-1, kmA1_3, kmA3_1, kmC3_1, kmD10_1, kmD11_1, kmD12_1, kmD13_1, kmD14_1, kmD15_1, kmD16_1, kmD17_1, kmD18_1, kmD19_1, kmD20_1, kmD21_1, kmD22_1, kmD23_1, kmD24_1, kmD4_1, kmD5_1, kmD6_1, kmD7_1, kmD8_1, kmD9_1, kmG2_2, qn4, qn4-, qs2-^2, qs2^2, qs2-.lee_yang, qs2-.lee_yang-, qs2.lee_yang, qs2.lee_yang-, qs2.qs2-, qs4, qs4-, qu2, qv2,
  • 5 simple objects: 5fieldsx, 5fieldsx-, kmA1_4, kmA4_1, kmC4_1, kmE8_3, kmF4_2, min3fac5, qn5, qs5,
  • 6 simple objects: kmA1_5, kmA2_2, kmA5_1, kmB2_2, kmC5_1, kmE7_2, kmG2_3, lee_yang.3fieldsx-, lee_yang-.ising4, lee_yang-.qu2, min10fac6, min2, N1min1, qs3-.lee_yang, qs3.lee_yang-,
  • 7 simple objects: kmA1_6, kmA6_1, kmB3_2, kmC6_1, qs7, qs7-,
  • 8 simple objects: finiteGr-6-8-1, kmA1_7, kmA7_1, kmB4_2, kmC7_1, qn8, qn8-, qs8, qs8-,
  • 9 simple objects: finiteGr-3-9-1, kmA1_8, kmA8_1, kmB5_2, kmC8_1, kmE6_2, kmF4_3, kmG2_4, qs3.3fieldsx-, qs9, qs9-,
  • 10 simple objects: e6double, e6double-, kmA1_9, kmA2_3, kmA3_2, kmA9_1, kmB2_3, kmB6_2, kmC3_2, kmC9_1, kmE8_4, lee_yang.min3fac5, min3,
  • 11 simple objects: kmA10_1, kmA1_10, kmB7_2, kmC10_1, kmD4_2, qs11, qs11-,
  • 12 simple objects: haagerup12, haagerup12-, kmA1_11, kmA11_1, kmB8_2, kmC11_1, kmD5_2, kmE7_3, kmG2_5,
  • 13 simple objects: kmA1_12, kmA12_1, kmB3_3, kmB9_2, kmC12_1, kmD6_2, qn13, qs13,
  • 14 simple objects: finiteGr-12-14-1, kmA1_13, kmA13_1, kmB10_2, kmC13_1, kmD7_2,
  • 15 simple objects: 3fieldsx-.min3fac5-, kmA1_14, kmA14_1, kmA2_4, kmA4_2, kmB11_2, kmB2_4, kmC14_1, kmC4_2, kmD8_2, kmE8_5, min4,
  • 16 simple objects: finiteGr-10-16-1, finiteGr-4-16-1, finiteGr-4-16-2, kmA1_15, kmA15_1, kmB12_2, kmB4_3, kmC15_1, kmD9_2, kmF4_4, kmG2_6, lee_yang-^2.qs4-, qn16, qn16-, qs16, qs16-, qu4, qv4,
  • 17 simple objects: kmA1_16, kmA16_1, kmB13_2, kmC16_1, kmD10_2, qn17, qs17,
  • 18 simple objects: kmA1_17, kmA17_1, kmB14_2, kmC17_1, kmD11_2, N1min3,
  • 19 simple objects: kmA1_18, kmA18_1, kmB15_2, kmB5_3, kmC18_1, kmD12_2, qs19, qs19-,
  • 20 simple objects: kmA1_19, kmA19_1, kmA3_3, kmB16_2, kmC19_1, kmC3_3, kmD13_2, kmE6_3, kmG2_7,
  • 21 simple objects: finiteGr-24-21-1, kmA1_20, kmA20_1, kmA2_5, kmA5_2, kmB17_2, kmB2_5, kmC20_1, kmC5_2, kmD14_2, min5,
  • 22 simple objects: finiteGr-20-22-1, finiteGr-60-22-1, finiteGr-8-22-1, finiteGr-8-22-2, kmA1_21, kmA21_1, kmB18_2, kmB3_4, kmB6_3, kmC21_1, kmD15_2,
  • 23 simple objects: kmA1_22, kmA22_1, kmB19_2, kmC22_1, kmD16_2, qs23, qs23-,
  • 24 simple objects: kmA1_23, kmA23_1, kmB20_2, kmC23_1, kmD17_2, kmD4_3,
  • 25 simple objects: finiteGr-21-25-1, finiteGr-5-25-1, kmA1_24, kmA24_1, kmB21_2, kmB7_3, kmC24_1, kmD18_2, kmE7_4, kmF4_5, kmG2_8, qn25, qs25,
  • 26 simple objects: kmA1_25, kmB22_2, kmD19_2,
  • 27 simple objects: kmA1_26, kmB23_2, kmD20_2, qs27, qs27-,
  • 28 simple objects: finiteGr-14-28-1, kmA1_27, kmA2_6, kmA6_2, kmB24_2, kmB2_6, kmB8_3, kmC6_2, kmD21_2, kmD5_3, min6, N1min4,
  • 29 simple objects: kmA1_28, kmD22_2, qn29, qs29,
  • 30 simple objects: kmA1_29, kmA2_3.3fieldsx, kmB4_4, kmD23_2, kmG2_9,
  • 31 simple objects: kmA1_30, kmB9_3, kmD24_2, qs31, qs31-,
  • 32 simple objects: finiteGr-12-32-1, finiteGr-12-32-2, finiteGr-168-32-1, finiteGr-72-32-1, kmD6_3, qn32, qn32-, qs32, qs32-,
  • 33 simple objects:
  • 34 simple objects: kmB10_3, kmB3_5,
  • 35 simple objects: kmA3_4, kmA4_3, kmC3_4, kmC4_3,
  • 36 simple objects: finiteGr-36-36-1, finiteGr-6-36-1, kmA2_7, kmA7_2, kmB2_7, kmC7_2, kmD7_3, kmG2_10, min7, N1min5,
  • 37 simple objects: kmB11_3, qn37, qs37,
  • 38 simple objects:
  • 39 simple objects: finiteGr-120-39-1, kmB5_4, kmF4_6,
  • 40 simple objects: kmB12_3, kmD8_3, N2min3,
  • 41 simple objects: qn41, qs41,
  • 42 simple objects: finiteGr-24-42-1, kmE6_4,
  • 43 simple objects: kmB13_3, qs43, qs43-,
  • 44 simple objects: finiteGr-18-44-1, finiteGr-18-44-2, finiteGr-360-44-1, finiteGr-42-44-1, kmD9_3, kmE7_5,
  • 45 simple objects: kmA2_8, kmA8_2, kmB2_8, kmC8_2, min8,
  • 46 simple objects: finiteGr-16-46-1, finiteGr-16-46-2, finiteGr-16-46-3, kmB14_3, kmD4_4,
  • 47 simple objects: qs47, qs47-,
  • 48 simple objects: kmD10_3,
  • 49 simple objects: finiteGr-55-49-1, finiteGr-7-49-1, kmB6_4, N1min6, qs49, qs49-,
  • 50 simple objects: kmB3_6, kmB4_5,
  • 51 simple objects:
  • 52 simple objects: kmD11_3,
  • 53 simple objects: qn53, qs53,
  • 54 simple objects: finiteGr-168-54-1,
  • 55 simple objects: kmA2_9, kmA9_2, kmB2_9, kmC9_2, min9,
  • 56 simple objects: finiteGr-24-56-1, finiteGr-48-56-1, finiteGr-48-56-2, kmA3_5, kmA5_3, kmC3_5, kmC5_3, kmD12_3, kmF4_7,
  • 57 simple objects:
  • 58 simple objects: finiteGr-52-58-1, finiteGr-56-58-1, kmD5_4,
  • 59 simple objects: qs59, qs59-,
  • 60 simple objects: finiteGr-72-60-1, kmB7_4, kmD13_3, N1min7, N2min4,
  • 61 simple objects: qn61, qs61,
  • 62 simple objects:
  • 63 simple objects:
  • 64 simple objects: finiteGr-20-64-1, finiteGr-20-64-2, finiteGr-22-64-1, finiteGr-36-64-1, finiteGr-78-64-1, finiteGr-8-64-1, finiteGr-8-64-2, finiteGr-8-64-3, kmD14_3, qn64, qn64-, qs64, qs64-, qu8, qv8,
  • 65 simple objects: finiteGr-144-65-1, finiteGr-336-65-1, finiteGr-39-65-1,
  • 66 simple objects: kmA10_2, kmA2_10, kmB2_10, kmC10_2, min10,
  • 67 simple objects: qs67, qs67-,
  • 68 simple objects:
  • 69 simple objects: kmB5_5,
  • 70 simple objects: kmA4_4, kmB3_7, kmC4_4,
  • 71 simple objects: kmD6_4, qs71, qs71-,
  • 72 simple objects: finiteGr-18-72-1, kmB8_4,
  • 73 simple objects: qn73, qs73,
  • 74 simple objects: finiteGr-120-74-1, finiteGr-72-74-1,
  • 75 simple objects:
  • 76 simple objects: finiteGr-80-76-1, N1min8,
  • 77 simple objects: finiteGr-72-77-1, finiteGr-72-77-2,
  • 78 simple objects: kmA11_2, kmC11_2, kmE6_5, min11,
  • 79 simple objects: qs79, qs79-,
  • 80 simple objects: finiteGr-216-80-1, kmB4_6, kmD4_5, kmF4_8,
  • 81 simple objects: finiteGr-9-81-1, finiteGr-9-81-2, qs81, qs81-,
  • 82 simple objects:
  • 83 simple objects: qs83, qs83-,
  • 84 simple objects: finiteGr-108-84-1, finiteGr-300-84-1, finiteGr-48-84-1, finiteGr-48-84-2, finiteGr-54-84-1, finiteGr-54-84-2, finiteGr-54-84-3, kmA3_6, kmA6_3, kmC3_6, kmC6_3, N2min5,
  • 85 simple objects: kmB9_4, kmD7_4,
  • 86 simple objects: finiteGr-24-86-1, finiteGr-24-86-2, finiteGr-24-86-3, finiteGr-60-86-1,
  • 87 simple objects:
  • 88 simple objects: finiteGr-120-88-1, finiteGr-16-88-1, finiteGr-16-88-2, finiteGr-16-88-3, finiteGr-16-88-4, finiteGr-16-88-5, finiteGr-16-88-6, finiteGr-26-88-1, finiteGr-40-88-1, finiteGr-40-88-2, finiteGr-68-88-1,
  • 89 simple objects: qn89, qs89,
  • 90 simple objects: N1min9,
  • 91 simple objects: kmA12_2, kmB6_5, kmC12_2, min12,
  • 92 simple objects:
  • 93 simple objects:
  • 94 simple objects: finiteGr-160-94-1, finiteGr-48-94-1, finiteGr-48-94-2,
  • 95 simple objects: kmB3_8,
  • 96 simple objects: finiteGr-114-96-1, finiteGr-96-96-1, finiteGr-96-96-2, finiteGr-96-96-3, finiteGr-96-96-4,
  • 97 simple objects: qn97, qs97,
  • 98 simple objects:
  • 99 simple objects:
  • 100 simple objects: finiteGr-10-100-1, finiteGr-136-100-1, finiteGr-200-100-1, finiteGr-32-100-1, finiteGr-32-100-2, finiteGr-32-100-3, finiteGr-32-100-4, finiteGr-32-100-5, finiteGr-42-100-1, kmD8_4,
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