CICY7882

rank 1
ℤ₂
finite

Favorable Kähler-favProduct

$h^{1,1}$: 2
$h^{2,1}$: 76
$\chi$: −148
ambient factors: 2
polynomials: 2
iso-flops: 1
Coxeter rank: 1
Coxeter group: ℤ₂

Configuration matrix: 2×2 configuration
$X_{7882} = \left[\begin{array}{c|cc} \mathbb{P}^{1} & 0 & 2 \\ \mathbb{P}^{4} & 2 & 3 \end{array}\right]^{2,76}_{-148}$
Second Chern class: $c_2(X)\cdot D_i = \begin{pmatrix} 24 & 52 \end{pmatrix}^{T}$
Coxeter diagram Gallery →
Coxeter matrix: $\begin{pmatrix} 1 \end{pmatrix}$
Iso-flop reflections Kähler representation: $\hat{M}_1$ : row 1, Type 2
$\hat{M}_1 = \begin{pmatrix} -1 & 0 \\ 3 & 1 \end{pmatrix}$

Database record

Mathematica

<|Num -> 7882, H11 -> 2, H21 -> 76, C2 -> {24, 52}, Conf -> {{0, 2}, {2, 3}}, Favour -> True, KahlerPos -> True, IsProduct -> False, IsoFlopRows -> {{1, "Type 2"}}, KahlerRefGens -> {{{-1, 0}, {3, 1}}}, CoxeterMat -> {{1}}|>

Plain text

Num           : 7882
H11           : 2
H21           : 76
C2            : {24, 52}
Conf          : {{0, 2}, {2, 3}}
Favour        : True
KahlerPos     : True
IsProduct     : False
IsoFlopRows   : {{1, "Type 2"}}
KahlerRefGens : {{{-1, 0}, {3, 1}}}
CoxeterMat    : {{1}}