CICY7844

rank 1
ℤ₂
finite

Favorable Kähler-favProduct

$h^{1,1}$: 2
$h^{2,1}$: 62
$\chi$: −120
ambient factors: 2
polynomials: 2
iso-flops: 1
Coxeter rank: 1
Coxeter group: ℤ₂

Configuration matrix: 2×2 configuration
$X_{7844} = \left[\begin{array}{c|cc} \mathbb{P}^{2} & 2 & 1 \\ \mathbb{P}^{3} & 2 & 2 \end{array}\right]^{2,62}_{-120}$
Second Chern class: $c_2(X)\cdot D_i = \begin{pmatrix} 36 & 44 \end{pmatrix}^{T}$
Coxeter diagram Gallery →
Coxeter matrix: $\begin{pmatrix} 1 \end{pmatrix}$
Iso-flop reflections Kähler representation: $\hat{M}_1$ : row 1, Type 2
$\hat{M}_1 = \begin{pmatrix} -1 & 0 \\ 6 & 1 \end{pmatrix}$

Database record

Mathematica

<|Num -> 7844, H11 -> 2, H21 -> 62, C2 -> {36, 44}, Conf -> {{2, 1}, {2, 2}}, Favour -> True, KahlerPos -> True, IsProduct -> False, IsoFlopRows -> {{1, "Type 2"}}, KahlerRefGens -> {{{-1, 0}, {6, 1}}}, CoxeterMat -> {{1}}|>

Plain text

Num           : 7844
H11           : 2
H21           : 62
C2            : {36, 44}
Conf          : {{2, 1}, {2, 2}}
Favour        : True
KahlerPos     : True
IsProduct     : False
IsoFlopRows   : {{1, "Type 2"}}
KahlerRefGens : {{{-1, 0}, {6, 1}}}
CoxeterMat    : {{1}}