CICY7867

rank 1
ℤ₂
finite

Favorable Kähler-favProduct

$h^{1,1}$: 2
$h^{2,1}$: 68
$\chi$: −132
ambient factors: 2
polynomials: 4
iso-flops: 1
Coxeter rank: 1
Coxeter group: ℤ₂

Configuration matrix: 2×4 configuration
$X_{7867} = \left[\begin{array}{c|cccc} \mathbb{P}^{1} & 0 & 0 & 1 & 1 \\ \mathbb{P}^{6} & 3 & 2 & 1 & 1 \end{array}\right]^{2,68}_{-132}$
Second Chern class: $c_2(X)\cdot D_i = \begin{pmatrix} 24 & 60 \end{pmatrix}^{T}$
Coxeter diagram Gallery →
Coxeter matrix: $\begin{pmatrix} 1 \end{pmatrix}$
Iso-flop reflections Kähler representation: $\hat{M}_1$ : row 1, Type 1a
$\hat{M}_1 = \begin{pmatrix} -1 & 0 \\ 1 & 1 \end{pmatrix}$

Database record

Mathematica

<|Num -> 7867, H11 -> 2, H21 -> 68, C2 -> {24, 60}, Conf -> {{0, 0, 1, 1}, {3, 2, 1, 1}}, Favour -> True, KahlerPos -> True, IsProduct -> False, IsoFlopRows -> {{1, "Type 1a"}}, KahlerRefGens -> {{{-1, 0}, {1, 1}}}, CoxeterMat -> {{1}}|>

Plain text

Num           : 7867
H11           : 2
H21           : 68
C2            : {24, 60}
Conf          : {{0, 0, 1, 1}, {3, 2, 1, 1}}
Favour        : True
KahlerPos     : True
IsProduct     : False
IsoFlopRows   : {{1, "Type 1a"}}
KahlerRefGens : {{{-1, 0}, {1, 1}}}
CoxeterMat    : {{1}}