MTC Kac Moody C12 level 3
The online database of Vertex Operator Algebras and Modular Categories (Version 0.5)
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mtc
- id
- name
- conjugate
- central_charge
- discriminant
- Root[-6428336363 - 10670303300*#1 - 22626756705*#1^2 + 3*#1^3 & , 1, 0]
- simple
- number
- weights
- 0, 0, 5/8, 5/8, 37/64, 5/64, 35/64, 3/64, 57/64, 25/64, 1/2, 1/2, 13/16, 13/16, 49/64, 17/64, 1/2, 1/2, 7/16, 7/16, 3/4, 3/4, 25/64, 57/64, 43/64, 11/64, 5/8, 5/8, 5/16, 5/16, 9/16, 9/16, 33/64, 1/64, 7/16, 7/16, 25/64, 57/64, 19/64, 51/64, 37/64, 5/64, 1/4, 1/4, 1/2, 1/2, 29/64, 61/64, 11/64, 43/64, 25/64, 57/64, 11/32, 11/32, 17/64, 49/64, 1/16, 1/16, 1/4, 1/4, 13/64, 45/64, 1/8, 1/8, 1/64, 33/64, 1/4, 1/4, 1/8, 1/8, 3/8, 3/8, 5/64, 37/64, 19/64, 51/64, 1/4, 1/4, 0, 0, 3/16, 3/16, 9/64, 41/64, 1/16, 1/16, 57/64, 25/64, 3/64, 35/64, 0, 0, 59/64, 27/64, 13/16, 13/16, 3/4, 3/4, 7/8, 7/8, 53/64, 21/64, 3/4, 3/4, 41/64, 9/64, 1/2, 1/2, 5/64, 37/64, 59/64, 27/64, 9/64, 41/64, 7/8, 7/8, 1/16, 1/16, 1/64, 33/64, 51/64, 19/64, 61/64, 29/64, 29/32, 29/32, 53/64, 21/64, 11/16, 11/16, 13/16, 13/16, 49/64, 17/64, 11/16, 11/16, 37/64, 5/64, 35/64, 3/64, 41/64, 9/64, 19/32, 19/32, 33/64, 1/64, 13/32, 13/32, 17/64, 49/64, 3/8, 3/8, 7/16, 7/16, 25/64, 57/64, 5/16, 5/16, 13/64, 45/64, 1/16, 1/16, 57/64, 25/64, 7/8, 7/8, 11/16, 41/64, 9/64, 51/64, 19/64, 3/4, 3/4, 9/16, 9/16, 11/16, 11/16, 41/64, 9/64, 9/16, 9/16, 29/64, 61/64, 35/64, 3/64, 1/2, 1/2, 27/64, 59/64, 5/16, 5/16, 5/16, 5/16, 3/8, 3/8, 21/64, 53/64, 1/4, 1/4, 9/64, 41/64, 0, 0, 9/64, 41/64, 11/64, 43/64, 1/8, 1/8, 3/64, 35/64, 15/16, 15/16, 51/64, 19/64, 5/8, 5/8, 15/16, 15/16, 57/64, 25/64, 13/16, 13/16, 45/64, 13/64, 9/16, 9/16, 25/64, 57/64, 3/16, 3/8, 3/8, 1/2, 1/2, 29/64, 61/64, 19/64, 51/64, 25/64, 57/64, 11/32, 11/32, 17/64, 49/64, 3/16, 3/16, 1/4, 1/4, 13/64, 45/64, 1/8, 1/8, 1/64, 33/64, 3/64, 35/64, 5/64, 37/64, 1/32, 1/32, 61/64, 29/64, 27/32, 27/32, 45/64, 13/64, 7/8, 7/8, 53/64, 21/64, 3/4, 3/4, 41/64, 9/64, 1/2, 1/2, 21/64, 53/64, 19/32, 19/32, 33/64, 1/64, 13/32, 13/32, 17/64, 49/64, 3/32, 21/64, 53/64, 1/4, 1/4, 9/64, 41/64, 0, 0, 5/64, 37/64, 11/64, 43/64, 1/8, 1/8, 0, 0, 1/16, 1/16, 1/64, 33/64, 15/16, 15/16, 57/64, 25/64, 59/64, 27/64, 7/8, 7/8, 51/64, 19/64, 11/16, 11/16, 3/4, 3/4, 45/64, 13/64, 5/8, 5/8, 33/64, 1/64, 3/8, 3/8, 1/2, 1/2, 27/64, 59/64, 5/16, 5/16, 11/64, 43/64, 17/64, 49/64, 3/16, 3/16, 5/64, 37/64, 15/16, 0, 0, 59/64, 27/64, 13/16, 13/16, 45/64, 13/64, 5/8, 5/8, 33/64, 1/64, 3/4, 3/4, 13/16, 13/16, 49/64, 17/64, 43/64, 11/64, 45/64, 13/64, 21/32, 21/32, 37/64, 5/64, 9/16, 9/16, 33/64, 1/64, 7/16, 7/16, 21/64, 53/64, 11/32, 11/32, 17/64, 49/64, 5/32, 5/32, 9/64, 41/64, 1/16, 1/16, 61/64, 29/64, 29/32, 29/32, 53/64, 21/64, 23/32, 41/64, 9/64, 9/16, 9/16, 11/32, 11/32, 17/64, 49/64, 1/64, 33/64, 15/16, 15/16, 25/64, 57/64, 27/64, 59/64, 3/8, 3/8, 5/16, 5/16, 17/64, 49/64, 3/16, 3/16, 1/8, 1/8, 3/64, 35/64, 61/64, 29/64, 7/8, 7/8, 3/4, 3/4, 43/64, 11/64, 33/64, 1/64, 7/16, 1/4, 1/4, 61/64, 29/64, 5/8, 5/8, 17/64, 49/64, 0, 0, 61/64, 29/64, 27/32, 27/32, 45/64, 13/64, 17/32, 17/32, 21/64, 53/64, 3/32
- qdims
- 1.000000000000000, 1.000000000000000, 95.08133559778435, 95.08133559778435, 175.6873997652644, 175.6873997652644, 344.6232312841862, 344.6232312841862, 5.472268850423586, 5.472268850423586, 406.2340496939948, 406.2340496939948, 11.95919343963279, 11.95919343963279, 11.49960834254381, 11.49960834254381, 230.5466499287271, 230.5466499287271, 748.7748887779010, 748.7748887779010, 16.98653293174736, 16.98653293174736, 1129.623816064107, 1129.623816064107, 48.47204454306667, 48.47204454306667, 50.96975508547392, 50.96975508547392, 895.1993965484820, 895.1993965484820, 62.10682626999106, 62.10682626999106, 83.58172725525176, 83.58172725525176, 52.14763283035479, 52.14763283035479, 253.9317723365415, 253.9317723365415, 1245.167132948079, 1245.167132948079, 39.01056164580358, 39.01056164580358, 2054.235674512494, 2054.235674512494, 123.2297517430423, 123.2297517430423, 135.3668229276075, 135.3668229276075, 2125.633256366281, 2125.633256366281, 207.8114789982709, 207.8114789982709, 292.1574683385345, 292.1574683385345, 201.7841395061533, 201.7841395061533, 1383.969204060513, 1383.969204060513, 202.3245544090631, 202.3245544090631, 311.0542226928319, 311.0542226928319, 280.5164050141572, 280.5164050141572, 141.7566995776865, 141.7566995776865, 246.5331828605013, 246.5331828605013, 1727.096427484528, 1727.096427484528, 73.25999665754415, 73.25999665754415, 2976.560118641573, 2976.560118641573, 243.6854237954507, 243.6854237954507, 274.4066733218405, 274.4066733218405, 3409.569167393485, 3409.569167393485, 457.3816825242963, 457.3816825242963, 659.1658220305135, 659.1658220305135, 479.3955549481643, 479.3955549481643, 2921.753390444260, 2921.753390444260, 588.3086550796123, 588.3086550796123, 927.1739058762438, 927.1739058762438, 880.4661234181313, 880.4661234181313, 495.2143664252424, 495.2143664252424, 1666.486206977207, 1666.486206977207, 478.4940463515689, 478.4940463515689, 787.7854504237144, 787.7854504237144, 828.1446171278902, 828.1446171278902, 613.0455286923056, 613.0455286923056, 270.4587201712574, 270.4587201712574, 214.6979614110962, 214.6979614110962, 2077.161211823204, 2077.161211823204, 118.2024122508614, 118.2024122508614, 3669.752126404224, 3669.752126404224, 405.2340496940033, 405.2340496940033, 463.4090220166139, 463.4090220166139, 4426.402113739262, 4426.402113739262, 803.9441541331632, 803.9441541331632, 1176.617310159340, 1176.617310159340, 881.9652774247966, 881.9652774247966, 4221.727251589607, 4221.727251589607, 1154.008938471903, 1154.008938471903, 1846.964610417158, 1846.964610417158, 1807.702491652007, 1807.702491652007, 1074.677799988345, 1074.677799988345, 3181.234980791186, 3181.234980791186, 1242.353959464622, 1242.353959464622, 2077.161211823255, 2077.161211823255, 2250.532889429544, 2250.532889429544, 1760.932246836437, 1760.932246836437, 866.9773010289932, 866.9773010289932, 1632.502984823481, 1632.502984823481, 883.2402031087659, 883.2402031087659, 1513.812679635691, 1513.812679635691, 1727.096427484389, 1727.096427484389, 1504.073722810395, 1504.073722810395, 978.3215387065624, 978.3215387065624, 389.6611324220127, 389.6611324220127, 168.3413322553402, 168.3413322553402, 2205.102580899340, 3956.295870910551, 3956.295870910551, 588.3086550797080, 588.3086550797080, 679.6407230157557, 679.6407230157557, 4918.354507537099, 4918.354507537099, 1206.156571302309, 1206.156571302309, 1783.317369244192, 1783.317369244192, 1362.635758057110, 1362.635758057110, 4958.266577779641, 4958.266577779641, 1833.475788027874, 1833.475788027874, 2964.423047457164, 2964.423047457164, 2957.627335241616, 2957.627335241616, 1817.076744215938, 1817.076744215938, 4169.579618759197, 4169.579618759197, 2205.590473836164, 2205.590473836164, 3725.335007419480, 3725.335007419480, 4114.484032778420, 4114.484032778420, 3326.987440138288, 3326.987440138288, 1734.620372739394, 1734.620372739394, 2832.144323696876, 2832.144323696876, 2077.161211823340, 2077.161211823340, 3596.492129746869, 3596.492129746869, 4182.716689944059, 4182.716689944059, 3764.345569065469, 3764.345569065469, 2592.926325711688, 2592.926325711688, 1154.008938471885, 1154.008938471885, 1321.862377790531, 1321.862377790531, 2324.280779023859, 2324.280779023859, 2786.024030358669, 2786.024030358669, 2650.248700835866, 2650.248700835866, 2037.249141580846, 2037.249141580846, 1200.129231810207, 1200.129231810207, 438.6221746817337, 3764.833462001986, 3764.833462001986, 760.0104513657779, 760.0104513657779, 884.1417117056414, 884.1417117056414, 4771.025345023428, 4771.025345023428, 1591.367067398864, 1591.367067398864, 2369.318680161841, 2369.318680161841, 1833.799231392800, 1833.799231392800, 4970.502140367476, 4970.502140367476, 2503.093411782031, 2503.093411782031, 4075.399791758265, 4075.399791758265, 4118.609863673735, 4118.609863673735, 2584.239890852476, 2584.239890852476, 4426.402113739247, 4426.402113739247, 3191.258080052469, 3191.258080052469, 5427.883822892104, 5427.883822892104, 6072.363446008727, 6072.363446008727, 5014.710768819105, 5014.710768819105, 2705.417966190974, 2705.417966190974, 3359.599412307990, 3359.599412307990, 5857.665484597869, 5857.665484597869, 6900.508063136741, 6900.508063136741, 6342.558120425429, 6342.558120425429, 4520.644403097825, 4520.644403097825, 2132.330477178494, 2132.330477178494, 5014.710768818860, 5014.710768818860, 6088.626348088923, 6088.626348088923, 5915.254670482689, 5915.254670482689, 4705.070759688458, 4705.070759688458, 2937.549556995621, 2920.115927602224, 2920.115927602224, 3614.168647486647, 3614.168647486647, 3628.616208979619, 3628.616208979619, 3056.482750529869, 3056.482750529869, 3152.247518406833, 3152.247518406833, 880.4661234181883, 880.4661234181883, 1029.291293792105, 1029.291293792105, 4046.349867016199, 4046.349867016199, 1869.809317922021, 1869.809317922021, 2797.523638701233, 2797.523638701233, 2184.478110008966, 2184.478110008966, 4305.308978844891, 4305.308978844891, 3006.099379784503, 3006.099379784503, 4918.354507537671, 4918.354507537671, 5014.710768818995, 5014.710768818995, 3191.258080053281, 3191.258080053281, 3967.255064350153, 3967.255064350153, 6780.817757949288, 6780.817757949288, 7653.408782810428, 7653.408782810428, 6410.278670527803, 6410.278670527803, 3534.798919136081, 3534.798919136081, 7755.526170726292, 7755.526170726292, 9217.505237008678, 9217.505237008678, 8592.719759871282, 8592.719759871282, 6259.877901767186, 6259.877901767186, 7419.012671134014, 7419.012671134014, 9087.934126296313, 9087.934126296313, 8954.743737649047, 8954.743737649047, 7280.231634644363, 5718.277029145301, 5718.277029145301, 7140.344025185148, 7140.344025185148, 7270.857382080464, 7270.857382080464, 3016.472188883830, 3016.472188883830, 3815.315324150584, 3815.315324150584, 3967.795479252938, 3967.795479252938, 2283.782324441204, 2283.782324441204, 912.5030951036483, 912.5030951036483, 1070.427211216666, 1070.427211216666, 2957.627335241377, 2957.627335241377, 1956.643077413458, 1956.643077413458, 2937.549556995738, 2937.549556995738, 2308.017876944226, 2308.017876944226, 3191.671695712497, 3191.671695712497, 5240.006829975971, 5240.006829975971, 5375.736190062179, 5375.736190062179, 3454.192854968734, 3454.192854968734, 7384.029448980762, 7384.029448980762, 8385.834601498637, 8385.834601498637, 7091.871980642218, 7091.871980642218, 8738.921018361680, 8738.921018361680, 10450.56988435185, 10450.56988435185, 9836.709015074091, 9836.709015074091, 8852.804227478785, 8852.804227478785, 10911.38681506294, 10911.38681506294, 10855.76764578405, 7614.769471148412, 7614.769471148412, 9567.329681244358, 9567.329681244358, 5306.868237157577, 5306.868237157577, 6753.819509611953, 6753.819509611953, 2526.064918529986, 2526.064918529986, 3243.405712883007, 3243.405712883007, 1378.083319550216, 1378.083319550216, 831.9940788750985, 831.9940788750985, 978.3215387066591, 978.3215387066591, 1795.743298212372, 1795.743298212372, 2702.442303103359, 2702.442303103359, 2132.330477178413, 2132.330477178413, 4867.384752451564, 4867.384752451564, 5014.710768818783, 5014.710768818783, 6956.505157714472, 6956.505157714472, 7933.925187824330, 7933.925187824330, 8408.293403280326, 8408.293403280326, 10097.97136042632, 10097.97136042632, 8802.568259534916, 8802.568259534916, 10895.63661794795, 8003.059353586516, 8003.059353586516, 6207.730268936520, 6207.730268936520, 3889.063213745009, 3889.063213745009, 1643.514700229281, 1643.514700229281, 635.7806996227254, 635.7806996227254, 748.7748887778722, 748.7748887778722, 2077.161211823188, 2077.161211823188, 3764.345569065239, 3764.345569065239, 5427.883822891828, 5427.883822891828, 6645.450935021622, 6645.450935021622, 7091.871980642173
- properties
- source
- created by script "make-kacmoody-mtc.m" using Schelleken's program "Kac"
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