Current Betti Table Entry:

0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|

0 | (0,0,0) | · | · | · | · | · | · | · | · | · | · | · | · |

1 | · | (6,2,0) | (9,2,1) | (11,4,1) | (13,5,2) | (15,5,4) | (16,8,4) | (17,10,5) | (18,11,7) | (19,11,10) | (19,14,11) | · | · |

2 | · | · | · | · | · | · | · | · | · | · | (18,18,12) | (19,18,15) | (19,19,18) |

- Multiplicity: 1
- Dimension: 3
- Dominant: Yes

- Multiplicity: 1
- Dimension: 1
- Error: 0

- Multiplicity: 1
- Dimension: 1
- Error: 0

- Multiplicity: 1
- Dimension: 1
- Error: 0

Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{12,\lambda}(2,0;4)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{12,2}(2,0;4)\). Here \(\lambda\) is the weight \((\lambda_0,\lambda_1,\lambda_2)\) where \(\lambda_2\) is determined by the fact that \(|\lambda|\) equals \(d(p+q)+b\). The dominant weights are displayed in green. Click on an entry for more info!

18 | 19 | 20 | |
---|---|---|---|

18 | · | · | · |

19 | · | 1 | · |

20 | · | · | · |