CICY7769

rank 1
ℤ₂
finite

Favorable Kähler-favProduct

$h^{1,1}$: 3
$h^{2,1}$: 53
$\chi$: −100
ambient factors: 3
polynomials: 5
iso-flops: 1
Coxeter rank: 1
Coxeter group: ℤ₂

Configuration matrix: 3×5 configuration
$X_{7769} = \left[\begin{array}{c|ccccc} \mathbb{P}^{1} & 1 & 1 & 0 & 0 & 0 \\ \mathbb{P}^{1} & 0 & 0 & 1 & 1 & 0 \\ \mathbb{P}^{6} & 1 & 1 & 2 & 1 & 2 \end{array}\right]^{3,53}_{-100}$
Second Chern class: $c_2(X)\cdot D_i = \begin{pmatrix} 24 & 24 & 60 \end{pmatrix}^{T}$
Coxeter diagram Gallery →
Coxeter matrix: $\begin{pmatrix} 1 \end{pmatrix}$
Iso-flop reflections Kähler representation: $\hat{M}_1$ : row 1, Type 1a
$\hat{M}_1 = \begin{pmatrix} -1 & 0 & 0 \\ 0 & 1 & 0 \\ 1 & 0 & 1 \end{pmatrix}$

Database record

Mathematica

<|Num -> 7769, H11 -> 3, H21 -> 53, C2 -> {24, 24, 60}, Conf -> {{1, 1, 0, 0, 0}, {0, 0, 1, 1, 0}, {1, 1, 2, 1, 2}}, Favour -> True, KahlerPos -> True, IsProduct -> False, IsoFlopRows -> {{1, "Type 1a"}}, KahlerRefGens -> {{{-1, 0, 0}, {0, 1, 0}, {1, 0, 1}}}, CoxeterMat -> {{1}}|>

Plain text

Num           : 7769
H11           : 3
H21           : 53
C2            : {24, 24, 60}
Conf          : {{1, 1, 0, 0, 0}, {0, 0, 1, 1, 0}, {1, 1, 2, 1, 2}}
Favour        : True
KahlerPos     : True
IsProduct     : False
IsoFlopRows   : {{1, "Type 1a"}}
KahlerRefGens : {{{-1, 0, 0}, {0, 1, 0}, {1, 0, 1}}}
CoxeterMat    : {{1}}