CICY Coxeter DB | 7808

CICY7808

  • rank 1
  • ℤ₂
  • finite
Favorable Kähler-favProduct
h1,1h^{1,1}
2
h2,1h^{2,1}
56
χ\chi
−108
ambient factors
2
polynomials
4
iso-flops
1
Coxeter rank
1
Coxeter group
ℤ₂
Configuration matrix
2×4 configuration
X7808=[P20111P53111]−1082,56X_{7808} = \left[\begin{array}{c|cccc} \mathbb{P}^{2} & 0 & 1 & 1 & 1 \\ \mathbb{P}^{5} & 3 & 1 & 1 & 1 \end{array}\right]^{2,56}_{-108}
Second Chern class
c2(X)⋅Di=(3654)Tc_2(X)\cdot D_i = \begin{pmatrix} 36 & 54 \end{pmatrix}^{T}
Coxeter diagram Gallery →
Coxeter matrix
(1)\begin{pmatrix} 1 \end{pmatrix}
Iso-flop reflections Kähler representation
M^1\hat{M}_1: row 1, Type 1a
M^1=(−1021)\hat{M}_1 = \begin{pmatrix} -1 & 0 \\ 2 & 1 \end{pmatrix}

Database record

Mathematica 
<|Num -> 7808, H11 -> 2, H21 -> 56, C2 -> {36, 54}, Conf -> {{0, 1, 1, 1}, {3, 1, 1, 1}}, Favour -> True, KahlerPos -> True, IsProduct -> False, IsoFlopRows -> {{1, "Type 1a"}}, KahlerRefGens -> {{{-1, 0}, {2, 1}}}, CoxeterMat -> {{1}}|>
Plain text 
Num           : 7808
H11           : 2
H21           : 56
C2            : {36, 54}
Conf          : {{0, 1, 1, 1}, {3, 1, 1, 1}}
Favour        : True
KahlerPos     : True
IsProduct     : False
IsoFlopRows   : {{1, "Type 1a"}}
KahlerRefGens : {{{-1, 0}, {2, 1}}}
CoxeterMat    : {{1}}