Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: A14BC8D5_cF1344_209_7j_g_4j_g2j-001

If you are using this page, please cite:
H. Eckert, S. Divilov, M. J. Mehl, D. Hicks, A. C. Zettel, M. Esters. X. Campilongo and S. Curtarolo, The AFLOW Library of Crystallographic Prototypes: Part 4. Submitted to Computational Materials Science.

Links to this page

https://aflow.org/p/5WNB
or https://aflow.org/p/A14BC8D5_cF1344_209_7j_g_4j_g2j-001
or PDF Version

PCN-20 [C$_{14}$CuO(H$_{2}$O)$_{4}$] Structure: A14BC8D5_cF1344_209_7j_g_4j_g2j-001

Picture of Structure; Click for Big Picture
Prototype C$_{14}$CuH$_{8}$O$_{5}$
AFLOW prototype label A14BC8D5_cF1344_209_7j_g_4j_g2j-001
CCDC 685824
Pearson symbol cF1344
Space group number 209
Space group symbol $F432$
AFLOW prototype command aflow --proto=A14BC8D5_cF1344_209_7j_g_4j_g2j-001
--params=$a, \allowbreak y_{1}, \allowbreak y_{2}, \allowbreak x_{3}, \allowbreak y_{3}, \allowbreak z_{3}, \allowbreak x_{4}, \allowbreak y_{4}, \allowbreak z_{4}, \allowbreak x_{5}, \allowbreak y_{5}, \allowbreak z_{5}, \allowbreak x_{6}, \allowbreak y_{6}, \allowbreak z_{6}, \allowbreak x_{7}, \allowbreak y_{7}, \allowbreak z_{7}, \allowbreak x_{8}, \allowbreak y_{8}, \allowbreak z_{8}, \allowbreak x_{9}, \allowbreak y_{9}, \allowbreak z_{9}, \allowbreak x_{10}, \allowbreak y_{10}, \allowbreak z_{10}, \allowbreak x_{11}, \allowbreak y_{11}, \allowbreak z_{11}, \allowbreak x_{12}, \allowbreak y_{12}, \allowbreak z_{12}, \allowbreak x_{13}, \allowbreak y_{13}, \allowbreak z_{13}, \allowbreak x_{14}, \allowbreak y_{14}, \allowbreak z_{14}, \allowbreak x_{15}, \allowbreak y_{15}, \allowbreak z_{15}$

  • PCN is an acronym for porous coordination network.
  • (Wang, 2009) list the atoms we have denoted H II as H3A and H3B, each half filled, but their two sites are identical, so we have combined them into one completely filled site.
  • We shifted the origin by $1/2 c \hat{z}$, moving the copper and O-I atoms from (48h) to (48g) Wyckoff positions.

\[ \begin{array}{ccc} \mathbf{a_{1}}&=&\frac{1}{2}a \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}\\\mathbf{a_{2}}&=&\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{z}}\\\mathbf{a_{3}}&=&\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}} \end{array}\]

Basis vectors

Lattice coordinates Cartesian coordinates Wyckoff position Atom type
$\mathbf{B_{1}}$ = $2 y_{1} \, \mathbf{a}_{1}$ = $a y_{1} \,\mathbf{\hat{y}}+a y_{1} \,\mathbf{\hat{z}}$ (48g) Cu I
$\mathbf{B_{2}}$ = $2 y_{1} \, \mathbf{a}_{2}- 2 y_{1} \, \mathbf{a}_{3}$ = $- a y_{1} \,\mathbf{\hat{y}}+a y_{1} \,\mathbf{\hat{z}}$ (48g) Cu I
$\mathbf{B_{3}}$ = $- 2 y_{1} \, \mathbf{a}_{2}+2 y_{1} \, \mathbf{a}_{3}$ = $a y_{1} \,\mathbf{\hat{y}}- a y_{1} \,\mathbf{\hat{z}}$ (48g) Cu I
$\mathbf{B_{4}}$ = $- 2 y_{1} \, \mathbf{a}_{1}$ = $- a y_{1} \,\mathbf{\hat{y}}- a y_{1} \,\mathbf{\hat{z}}$ (48g) Cu I
$\mathbf{B_{5}}$ = $2 y_{1} \, \mathbf{a}_{2}$ = $a y_{1} \,\mathbf{\hat{x}}+a y_{1} \,\mathbf{\hat{z}}$ (48g) Cu I
$\mathbf{B_{6}}$ = $- 2 y_{1} \, \mathbf{a}_{1}+2 y_{1} \, \mathbf{a}_{3}$ = $a y_{1} \,\mathbf{\hat{x}}- a y_{1} \,\mathbf{\hat{z}}$ (48g) Cu I
$\mathbf{B_{7}}$ = $2 y_{1} \, \mathbf{a}_{1}- 2 y_{1} \, \mathbf{a}_{3}$ = $- a y_{1} \,\mathbf{\hat{x}}+a y_{1} \,\mathbf{\hat{z}}$ (48g) Cu I
$\mathbf{B_{8}}$ = $- 2 y_{1} \, \mathbf{a}_{2}$ = $- a y_{1} \,\mathbf{\hat{x}}- a y_{1} \,\mathbf{\hat{z}}$ (48g) Cu I
$\mathbf{B_{9}}$ = $2 y_{1} \, \mathbf{a}_{3}$ = $a y_{1} \,\mathbf{\hat{x}}+a y_{1} \,\mathbf{\hat{y}}$ (48g) Cu I
$\mathbf{B_{10}}$ = $2 y_{1} \, \mathbf{a}_{1}- 2 y_{1} \, \mathbf{a}_{2}$ = $- a y_{1} \,\mathbf{\hat{x}}+a y_{1} \,\mathbf{\hat{y}}$ (48g) Cu I
$\mathbf{B_{11}}$ = $- 2 y_{1} \, \mathbf{a}_{1}+2 y_{1} \, \mathbf{a}_{2}$ = $a y_{1} \,\mathbf{\hat{x}}- a y_{1} \,\mathbf{\hat{y}}$ (48g) Cu I
$\mathbf{B_{12}}$ = $- 2 y_{1} \, \mathbf{a}_{3}$ = $- a y_{1} \,\mathbf{\hat{x}}- a y_{1} \,\mathbf{\hat{y}}$ (48g) Cu I
$\mathbf{B_{13}}$ = $2 y_{2} \, \mathbf{a}_{1}$ = $a y_{2} \,\mathbf{\hat{y}}+a y_{2} \,\mathbf{\hat{z}}$ (48g) O I
$\mathbf{B_{14}}$ = $2 y_{2} \, \mathbf{a}_{2}- 2 y_{2} \, \mathbf{a}_{3}$ = $- a y_{2} \,\mathbf{\hat{y}}+a y_{2} \,\mathbf{\hat{z}}$ (48g) O I
$\mathbf{B_{15}}$ = $- 2 y_{2} \, \mathbf{a}_{2}+2 y_{2} \, \mathbf{a}_{3}$ = $a y_{2} \,\mathbf{\hat{y}}- a y_{2} \,\mathbf{\hat{z}}$ (48g) O I
$\mathbf{B_{16}}$ = $- 2 y_{2} \, \mathbf{a}_{1}$ = $- a y_{2} \,\mathbf{\hat{y}}- a y_{2} \,\mathbf{\hat{z}}$ (48g) O I
$\mathbf{B_{17}}$ = $2 y_{2} \, \mathbf{a}_{2}$ = $a y_{2} \,\mathbf{\hat{x}}+a y_{2} \,\mathbf{\hat{z}}$ (48g) O I
$\mathbf{B_{18}}$ = $- 2 y_{2} \, \mathbf{a}_{1}+2 y_{2} \, \mathbf{a}_{3}$ = $a y_{2} \,\mathbf{\hat{x}}- a y_{2} \,\mathbf{\hat{z}}$ (48g) O I
$\mathbf{B_{19}}$ = $2 y_{2} \, \mathbf{a}_{1}- 2 y_{2} \, \mathbf{a}_{3}$ = $- a y_{2} \,\mathbf{\hat{x}}+a y_{2} \,\mathbf{\hat{z}}$ (48g) O I
$\mathbf{B_{20}}$ = $- 2 y_{2} \, \mathbf{a}_{2}$ = $- a y_{2} \,\mathbf{\hat{x}}- a y_{2} \,\mathbf{\hat{z}}$ (48g) O I
$\mathbf{B_{21}}$ = $2 y_{2} \, \mathbf{a}_{3}$ = $a y_{2} \,\mathbf{\hat{x}}+a y_{2} \,\mathbf{\hat{y}}$ (48g) O I
$\mathbf{B_{22}}$ = $2 y_{2} \, \mathbf{a}_{1}- 2 y_{2} \, \mathbf{a}_{2}$ = $- a y_{2} \,\mathbf{\hat{x}}+a y_{2} \,\mathbf{\hat{y}}$ (48g) O I
$\mathbf{B_{23}}$ = $- 2 y_{2} \, \mathbf{a}_{1}+2 y_{2} \, \mathbf{a}_{2}$ = $a y_{2} \,\mathbf{\hat{x}}- a y_{2} \,\mathbf{\hat{y}}$ (48g) O I
$\mathbf{B_{24}}$ = $- 2 y_{2} \, \mathbf{a}_{3}$ = $- a y_{2} \,\mathbf{\hat{x}}- a y_{2} \,\mathbf{\hat{y}}$ (48g) O I
$\mathbf{B_{25}}$ = $\left(- x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{1}+\left(x_{3} - y_{3} + z_{3}\right) \, \mathbf{a}_{2}+\left(x_{3} + y_{3} - z_{3}\right) \, \mathbf{a}_{3}$ = $a x_{3} \,\mathbf{\hat{x}}+a y_{3} \,\mathbf{\hat{y}}+a z_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{26}}$ = $\left(x_{3} - y_{3} + z_{3}\right) \, \mathbf{a}_{1}+\left(- x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{2}- \left(x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{3}$ = $- a x_{3} \,\mathbf{\hat{x}}- a y_{3} \,\mathbf{\hat{y}}+a z_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{27}}$ = $\left(x_{3} + y_{3} - z_{3}\right) \, \mathbf{a}_{1}- \left(x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{2}+\left(- x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{3}$ = $- a x_{3} \,\mathbf{\hat{x}}+a y_{3} \,\mathbf{\hat{y}}- a z_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{28}}$ = $- \left(x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{1}+\left(x_{3} + y_{3} - z_{3}\right) \, \mathbf{a}_{2}+\left(x_{3} - y_{3} + z_{3}\right) \, \mathbf{a}_{3}$ = $a x_{3} \,\mathbf{\hat{x}}- a y_{3} \,\mathbf{\hat{y}}- a z_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{29}}$ = $\left(x_{3} + y_{3} - z_{3}\right) \, \mathbf{a}_{1}+\left(- x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{2}+\left(x_{3} - y_{3} + z_{3}\right) \, \mathbf{a}_{3}$ = $a z_{3} \,\mathbf{\hat{x}}+a x_{3} \,\mathbf{\hat{y}}+a y_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{30}}$ = $- \left(x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{1}+\left(x_{3} - y_{3} + z_{3}\right) \, \mathbf{a}_{2}+\left(- x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{3}$ = $a z_{3} \,\mathbf{\hat{x}}- a x_{3} \,\mathbf{\hat{y}}- a y_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{31}}$ = $\left(- x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{1}+\left(x_{3} + y_{3} - z_{3}\right) \, \mathbf{a}_{2}- \left(x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{3}$ = $- a z_{3} \,\mathbf{\hat{x}}- a x_{3} \,\mathbf{\hat{y}}+a y_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{32}}$ = $\left(x_{3} - y_{3} + z_{3}\right) \, \mathbf{a}_{1}- \left(x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{2}+\left(x_{3} + y_{3} - z_{3}\right) \, \mathbf{a}_{3}$ = $- a z_{3} \,\mathbf{\hat{x}}+a x_{3} \,\mathbf{\hat{y}}- a y_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{33}}$ = $\left(x_{3} - y_{3} + z_{3}\right) \, \mathbf{a}_{1}+\left(x_{3} + y_{3} - z_{3}\right) \, \mathbf{a}_{2}+\left(- x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{3}$ = $a y_{3} \,\mathbf{\hat{x}}+a z_{3} \,\mathbf{\hat{y}}+a x_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{34}}$ = $\left(- x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{1}- \left(x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{2}+\left(x_{3} - y_{3} + z_{3}\right) \, \mathbf{a}_{3}$ = $- a y_{3} \,\mathbf{\hat{x}}+a z_{3} \,\mathbf{\hat{y}}- a x_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{35}}$ = $- \left(x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{1}+\left(- x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{2}+\left(x_{3} + y_{3} - z_{3}\right) \, \mathbf{a}_{3}$ = $a y_{3} \,\mathbf{\hat{x}}- a z_{3} \,\mathbf{\hat{y}}- a x_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{36}}$ = $\left(x_{3} + y_{3} - z_{3}\right) \, \mathbf{a}_{1}+\left(x_{3} - y_{3} + z_{3}\right) \, \mathbf{a}_{2}- \left(x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{3}$ = $- a y_{3} \,\mathbf{\hat{x}}- a z_{3} \,\mathbf{\hat{y}}+a x_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{37}}$ = $\left(x_{3} - y_{3} - z_{3}\right) \, \mathbf{a}_{1}- \left(x_{3} - y_{3} + z_{3}\right) \, \mathbf{a}_{2}+\left(x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{3}$ = $a y_{3} \,\mathbf{\hat{x}}+a x_{3} \,\mathbf{\hat{y}}- a z_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{38}}$ = $- \left(x_{3} - y_{3} + z_{3}\right) \, \mathbf{a}_{1}+\left(x_{3} - y_{3} - z_{3}\right) \, \mathbf{a}_{2}- \left(x_{3} + y_{3} - z_{3}\right) \, \mathbf{a}_{3}$ = $- a y_{3} \,\mathbf{\hat{x}}- a x_{3} \,\mathbf{\hat{y}}- a z_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{39}}$ = $- \left(x_{3} + y_{3} - z_{3}\right) \, \mathbf{a}_{1}+\left(x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{2}- \left(x_{3} - y_{3} + z_{3}\right) \, \mathbf{a}_{3}$ = $a y_{3} \,\mathbf{\hat{x}}- a x_{3} \,\mathbf{\hat{y}}+a z_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{40}}$ = $\left(x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{1}- \left(x_{3} + y_{3} - z_{3}\right) \, \mathbf{a}_{2}+\left(x_{3} - y_{3} - z_{3}\right) \, \mathbf{a}_{3}$ = $- a y_{3} \,\mathbf{\hat{x}}+a x_{3} \,\mathbf{\hat{y}}+a z_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{41}}$ = $- \left(x_{3} + y_{3} - z_{3}\right) \, \mathbf{a}_{1}+\left(x_{3} - y_{3} - z_{3}\right) \, \mathbf{a}_{2}+\left(x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{3}$ = $a x_{3} \,\mathbf{\hat{x}}+a z_{3} \,\mathbf{\hat{y}}- a y_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{42}}$ = $\left(x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{1}- \left(x_{3} - y_{3} + z_{3}\right) \, \mathbf{a}_{2}- \left(x_{3} + y_{3} - z_{3}\right) \, \mathbf{a}_{3}$ = $- a x_{3} \,\mathbf{\hat{x}}+a z_{3} \,\mathbf{\hat{y}}+a y_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{43}}$ = $\left(x_{3} - y_{3} - z_{3}\right) \, \mathbf{a}_{1}- \left(x_{3} + y_{3} - z_{3}\right) \, \mathbf{a}_{2}- \left(x_{3} - y_{3} + z_{3}\right) \, \mathbf{a}_{3}$ = $- a x_{3} \,\mathbf{\hat{x}}- a z_{3} \,\mathbf{\hat{y}}- a y_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{44}}$ = $- \left(x_{3} - y_{3} + z_{3}\right) \, \mathbf{a}_{1}+\left(x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{2}+\left(x_{3} - y_{3} - z_{3}\right) \, \mathbf{a}_{3}$ = $a x_{3} \,\mathbf{\hat{x}}- a z_{3} \,\mathbf{\hat{y}}+a y_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{45}}$ = $- \left(x_{3} - y_{3} + z_{3}\right) \, \mathbf{a}_{1}- \left(x_{3} + y_{3} - z_{3}\right) \, \mathbf{a}_{2}+\left(x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{3}$ = $a z_{3} \,\mathbf{\hat{x}}+a y_{3} \,\mathbf{\hat{y}}- a x_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{46}}$ = $\left(x_{3} - y_{3} - z_{3}\right) \, \mathbf{a}_{1}+\left(x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{2}- \left(x_{3} + y_{3} - z_{3}\right) \, \mathbf{a}_{3}$ = $a z_{3} \,\mathbf{\hat{x}}- a y_{3} \,\mathbf{\hat{y}}+a x_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{47}}$ = $\left(x_{3} + y_{3} + z_{3}\right) \, \mathbf{a}_{1}+\left(x_{3} - y_{3} - z_{3}\right) \, \mathbf{a}_{2}- \left(x_{3} - y_{3} + z_{3}\right) \, \mathbf{a}_{3}$ = $- a z_{3} \,\mathbf{\hat{x}}+a y_{3} \,\mathbf{\hat{y}}+a x_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{48}}$ = $- \left(x_{3} + y_{3} - z_{3}\right) \, \mathbf{a}_{1}- \left(x_{3} - y_{3} + z_{3}\right) \, \mathbf{a}_{2}+\left(x_{3} - y_{3} - z_{3}\right) \, \mathbf{a}_{3}$ = $- a z_{3} \,\mathbf{\hat{x}}- a y_{3} \,\mathbf{\hat{y}}- a x_{3} \,\mathbf{\hat{z}}$ (96j) C I
$\mathbf{B_{49}}$ = $\left(- x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{1}+\left(x_{4} - y_{4} + z_{4}\right) \, \mathbf{a}_{2}+\left(x_{4} + y_{4} - z_{4}\right) \, \mathbf{a}_{3}$ = $a x_{4} \,\mathbf{\hat{x}}+a y_{4} \,\mathbf{\hat{y}}+a z_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{50}}$ = $\left(x_{4} - y_{4} + z_{4}\right) \, \mathbf{a}_{1}+\left(- x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{2}- \left(x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{3}$ = $- a x_{4} \,\mathbf{\hat{x}}- a y_{4} \,\mathbf{\hat{y}}+a z_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{51}}$ = $\left(x_{4} + y_{4} - z_{4}\right) \, \mathbf{a}_{1}- \left(x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{2}+\left(- x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{3}$ = $- a x_{4} \,\mathbf{\hat{x}}+a y_{4} \,\mathbf{\hat{y}}- a z_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{52}}$ = $- \left(x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{1}+\left(x_{4} + y_{4} - z_{4}\right) \, \mathbf{a}_{2}+\left(x_{4} - y_{4} + z_{4}\right) \, \mathbf{a}_{3}$ = $a x_{4} \,\mathbf{\hat{x}}- a y_{4} \,\mathbf{\hat{y}}- a z_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{53}}$ = $\left(x_{4} + y_{4} - z_{4}\right) \, \mathbf{a}_{1}+\left(- x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{2}+\left(x_{4} - y_{4} + z_{4}\right) \, \mathbf{a}_{3}$ = $a z_{4} \,\mathbf{\hat{x}}+a x_{4} \,\mathbf{\hat{y}}+a y_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{54}}$ = $- \left(x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{1}+\left(x_{4} - y_{4} + z_{4}\right) \, \mathbf{a}_{2}+\left(- x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{3}$ = $a z_{4} \,\mathbf{\hat{x}}- a x_{4} \,\mathbf{\hat{y}}- a y_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{55}}$ = $\left(- x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{1}+\left(x_{4} + y_{4} - z_{4}\right) \, \mathbf{a}_{2}- \left(x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{3}$ = $- a z_{4} \,\mathbf{\hat{x}}- a x_{4} \,\mathbf{\hat{y}}+a y_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{56}}$ = $\left(x_{4} - y_{4} + z_{4}\right) \, \mathbf{a}_{1}- \left(x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{2}+\left(x_{4} + y_{4} - z_{4}\right) \, \mathbf{a}_{3}$ = $- a z_{4} \,\mathbf{\hat{x}}+a x_{4} \,\mathbf{\hat{y}}- a y_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{57}}$ = $\left(x_{4} - y_{4} + z_{4}\right) \, \mathbf{a}_{1}+\left(x_{4} + y_{4} - z_{4}\right) \, \mathbf{a}_{2}+\left(- x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{3}$ = $a y_{4} \,\mathbf{\hat{x}}+a z_{4} \,\mathbf{\hat{y}}+a x_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{58}}$ = $\left(- x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{1}- \left(x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{2}+\left(x_{4} - y_{4} + z_{4}\right) \, \mathbf{a}_{3}$ = $- a y_{4} \,\mathbf{\hat{x}}+a z_{4} \,\mathbf{\hat{y}}- a x_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{59}}$ = $- \left(x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{1}+\left(- x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{2}+\left(x_{4} + y_{4} - z_{4}\right) \, \mathbf{a}_{3}$ = $a y_{4} \,\mathbf{\hat{x}}- a z_{4} \,\mathbf{\hat{y}}- a x_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{60}}$ = $\left(x_{4} + y_{4} - z_{4}\right) \, \mathbf{a}_{1}+\left(x_{4} - y_{4} + z_{4}\right) \, \mathbf{a}_{2}- \left(x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{3}$ = $- a y_{4} \,\mathbf{\hat{x}}- a z_{4} \,\mathbf{\hat{y}}+a x_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{61}}$ = $\left(x_{4} - y_{4} - z_{4}\right) \, \mathbf{a}_{1}- \left(x_{4} - y_{4} + z_{4}\right) \, \mathbf{a}_{2}+\left(x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{3}$ = $a y_{4} \,\mathbf{\hat{x}}+a x_{4} \,\mathbf{\hat{y}}- a z_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{62}}$ = $- \left(x_{4} - y_{4} + z_{4}\right) \, \mathbf{a}_{1}+\left(x_{4} - y_{4} - z_{4}\right) \, \mathbf{a}_{2}- \left(x_{4} + y_{4} - z_{4}\right) \, \mathbf{a}_{3}$ = $- a y_{4} \,\mathbf{\hat{x}}- a x_{4} \,\mathbf{\hat{y}}- a z_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{63}}$ = $- \left(x_{4} + y_{4} - z_{4}\right) \, \mathbf{a}_{1}+\left(x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{2}- \left(x_{4} - y_{4} + z_{4}\right) \, \mathbf{a}_{3}$ = $a y_{4} \,\mathbf{\hat{x}}- a x_{4} \,\mathbf{\hat{y}}+a z_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{64}}$ = $\left(x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{1}- \left(x_{4} + y_{4} - z_{4}\right) \, \mathbf{a}_{2}+\left(x_{4} - y_{4} - z_{4}\right) \, \mathbf{a}_{3}$ = $- a y_{4} \,\mathbf{\hat{x}}+a x_{4} \,\mathbf{\hat{y}}+a z_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{65}}$ = $- \left(x_{4} + y_{4} - z_{4}\right) \, \mathbf{a}_{1}+\left(x_{4} - y_{4} - z_{4}\right) \, \mathbf{a}_{2}+\left(x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{3}$ = $a x_{4} \,\mathbf{\hat{x}}+a z_{4} \,\mathbf{\hat{y}}- a y_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{66}}$ = $\left(x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{1}- \left(x_{4} - y_{4} + z_{4}\right) \, \mathbf{a}_{2}- \left(x_{4} + y_{4} - z_{4}\right) \, \mathbf{a}_{3}$ = $- a x_{4} \,\mathbf{\hat{x}}+a z_{4} \,\mathbf{\hat{y}}+a y_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{67}}$ = $\left(x_{4} - y_{4} - z_{4}\right) \, \mathbf{a}_{1}- \left(x_{4} + y_{4} - z_{4}\right) \, \mathbf{a}_{2}- \left(x_{4} - y_{4} + z_{4}\right) \, \mathbf{a}_{3}$ = $- a x_{4} \,\mathbf{\hat{x}}- a z_{4} \,\mathbf{\hat{y}}- a y_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{68}}$ = $- \left(x_{4} - y_{4} + z_{4}\right) \, \mathbf{a}_{1}+\left(x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{2}+\left(x_{4} - y_{4} - z_{4}\right) \, \mathbf{a}_{3}$ = $a x_{4} \,\mathbf{\hat{x}}- a z_{4} \,\mathbf{\hat{y}}+a y_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{69}}$ = $- \left(x_{4} - y_{4} + z_{4}\right) \, \mathbf{a}_{1}- \left(x_{4} + y_{4} - z_{4}\right) \, \mathbf{a}_{2}+\left(x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{3}$ = $a z_{4} \,\mathbf{\hat{x}}+a y_{4} \,\mathbf{\hat{y}}- a x_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{70}}$ = $\left(x_{4} - y_{4} - z_{4}\right) \, \mathbf{a}_{1}+\left(x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{2}- \left(x_{4} + y_{4} - z_{4}\right) \, \mathbf{a}_{3}$ = $a z_{4} \,\mathbf{\hat{x}}- a y_{4} \,\mathbf{\hat{y}}+a x_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{71}}$ = $\left(x_{4} + y_{4} + z_{4}\right) \, \mathbf{a}_{1}+\left(x_{4} - y_{4} - z_{4}\right) \, \mathbf{a}_{2}- \left(x_{4} - y_{4} + z_{4}\right) \, \mathbf{a}_{3}$ = $- a z_{4} \,\mathbf{\hat{x}}+a y_{4} \,\mathbf{\hat{y}}+a x_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{72}}$ = $- \left(x_{4} + y_{4} - z_{4}\right) \, \mathbf{a}_{1}- \left(x_{4} - y_{4} + z_{4}\right) \, \mathbf{a}_{2}+\left(x_{4} - y_{4} - z_{4}\right) \, \mathbf{a}_{3}$ = $- a z_{4} \,\mathbf{\hat{x}}- a y_{4} \,\mathbf{\hat{y}}- a x_{4} \,\mathbf{\hat{z}}$ (96j) C II
$\mathbf{B_{73}}$ = $\left(- x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{1}+\left(x_{5} - y_{5} + z_{5}\right) \, \mathbf{a}_{2}+\left(x_{5} + y_{5} - z_{5}\right) \, \mathbf{a}_{3}$ = $a x_{5} \,\mathbf{\hat{x}}+a y_{5} \,\mathbf{\hat{y}}+a z_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{74}}$ = $\left(x_{5} - y_{5} + z_{5}\right) \, \mathbf{a}_{1}+\left(- x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{2}- \left(x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{3}$ = $- a x_{5} \,\mathbf{\hat{x}}- a y_{5} \,\mathbf{\hat{y}}+a z_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{75}}$ = $\left(x_{5} + y_{5} - z_{5}\right) \, \mathbf{a}_{1}- \left(x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{2}+\left(- x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{3}$ = $- a x_{5} \,\mathbf{\hat{x}}+a y_{5} \,\mathbf{\hat{y}}- a z_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{76}}$ = $- \left(x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{1}+\left(x_{5} + y_{5} - z_{5}\right) \, \mathbf{a}_{2}+\left(x_{5} - y_{5} + z_{5}\right) \, \mathbf{a}_{3}$ = $a x_{5} \,\mathbf{\hat{x}}- a y_{5} \,\mathbf{\hat{y}}- a z_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{77}}$ = $\left(x_{5} + y_{5} - z_{5}\right) \, \mathbf{a}_{1}+\left(- x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{2}+\left(x_{5} - y_{5} + z_{5}\right) \, \mathbf{a}_{3}$ = $a z_{5} \,\mathbf{\hat{x}}+a x_{5} \,\mathbf{\hat{y}}+a y_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{78}}$ = $- \left(x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{1}+\left(x_{5} - y_{5} + z_{5}\right) \, \mathbf{a}_{2}+\left(- x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{3}$ = $a z_{5} \,\mathbf{\hat{x}}- a x_{5} \,\mathbf{\hat{y}}- a y_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{79}}$ = $\left(- x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{1}+\left(x_{5} + y_{5} - z_{5}\right) \, \mathbf{a}_{2}- \left(x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{3}$ = $- a z_{5} \,\mathbf{\hat{x}}- a x_{5} \,\mathbf{\hat{y}}+a y_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{80}}$ = $\left(x_{5} - y_{5} + z_{5}\right) \, \mathbf{a}_{1}- \left(x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{2}+\left(x_{5} + y_{5} - z_{5}\right) \, \mathbf{a}_{3}$ = $- a z_{5} \,\mathbf{\hat{x}}+a x_{5} \,\mathbf{\hat{y}}- a y_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{81}}$ = $\left(x_{5} - y_{5} + z_{5}\right) \, \mathbf{a}_{1}+\left(x_{5} + y_{5} - z_{5}\right) \, \mathbf{a}_{2}+\left(- x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{3}$ = $a y_{5} \,\mathbf{\hat{x}}+a z_{5} \,\mathbf{\hat{y}}+a x_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{82}}$ = $\left(- x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{1}- \left(x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{2}+\left(x_{5} - y_{5} + z_{5}\right) \, \mathbf{a}_{3}$ = $- a y_{5} \,\mathbf{\hat{x}}+a z_{5} \,\mathbf{\hat{y}}- a x_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{83}}$ = $- \left(x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{1}+\left(- x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{2}+\left(x_{5} + y_{5} - z_{5}\right) \, \mathbf{a}_{3}$ = $a y_{5} \,\mathbf{\hat{x}}- a z_{5} \,\mathbf{\hat{y}}- a x_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{84}}$ = $\left(x_{5} + y_{5} - z_{5}\right) \, \mathbf{a}_{1}+\left(x_{5} - y_{5} + z_{5}\right) \, \mathbf{a}_{2}- \left(x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{3}$ = $- a y_{5} \,\mathbf{\hat{x}}- a z_{5} \,\mathbf{\hat{y}}+a x_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{85}}$ = $\left(x_{5} - y_{5} - z_{5}\right) \, \mathbf{a}_{1}- \left(x_{5} - y_{5} + z_{5}\right) \, \mathbf{a}_{2}+\left(x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{3}$ = $a y_{5} \,\mathbf{\hat{x}}+a x_{5} \,\mathbf{\hat{y}}- a z_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{86}}$ = $- \left(x_{5} - y_{5} + z_{5}\right) \, \mathbf{a}_{1}+\left(x_{5} - y_{5} - z_{5}\right) \, \mathbf{a}_{2}- \left(x_{5} + y_{5} - z_{5}\right) \, \mathbf{a}_{3}$ = $- a y_{5} \,\mathbf{\hat{x}}- a x_{5} \,\mathbf{\hat{y}}- a z_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{87}}$ = $- \left(x_{5} + y_{5} - z_{5}\right) \, \mathbf{a}_{1}+\left(x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{2}- \left(x_{5} - y_{5} + z_{5}\right) \, \mathbf{a}_{3}$ = $a y_{5} \,\mathbf{\hat{x}}- a x_{5} \,\mathbf{\hat{y}}+a z_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{88}}$ = $\left(x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{1}- \left(x_{5} + y_{5} - z_{5}\right) \, \mathbf{a}_{2}+\left(x_{5} - y_{5} - z_{5}\right) \, \mathbf{a}_{3}$ = $- a y_{5} \,\mathbf{\hat{x}}+a x_{5} \,\mathbf{\hat{y}}+a z_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{89}}$ = $- \left(x_{5} + y_{5} - z_{5}\right) \, \mathbf{a}_{1}+\left(x_{5} - y_{5} - z_{5}\right) \, \mathbf{a}_{2}+\left(x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{3}$ = $a x_{5} \,\mathbf{\hat{x}}+a z_{5} \,\mathbf{\hat{y}}- a y_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{90}}$ = $\left(x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{1}- \left(x_{5} - y_{5} + z_{5}\right) \, \mathbf{a}_{2}- \left(x_{5} + y_{5} - z_{5}\right) \, \mathbf{a}_{3}$ = $- a x_{5} \,\mathbf{\hat{x}}+a z_{5} \,\mathbf{\hat{y}}+a y_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{91}}$ = $\left(x_{5} - y_{5} - z_{5}\right) \, \mathbf{a}_{1}- \left(x_{5} + y_{5} - z_{5}\right) \, \mathbf{a}_{2}- \left(x_{5} - y_{5} + z_{5}\right) \, \mathbf{a}_{3}$ = $- a x_{5} \,\mathbf{\hat{x}}- a z_{5} \,\mathbf{\hat{y}}- a y_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{92}}$ = $- \left(x_{5} - y_{5} + z_{5}\right) \, \mathbf{a}_{1}+\left(x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{2}+\left(x_{5} - y_{5} - z_{5}\right) \, \mathbf{a}_{3}$ = $a x_{5} \,\mathbf{\hat{x}}- a z_{5} \,\mathbf{\hat{y}}+a y_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{93}}$ = $- \left(x_{5} - y_{5} + z_{5}\right) \, \mathbf{a}_{1}- \left(x_{5} + y_{5} - z_{5}\right) \, \mathbf{a}_{2}+\left(x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{3}$ = $a z_{5} \,\mathbf{\hat{x}}+a y_{5} \,\mathbf{\hat{y}}- a x_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{94}}$ = $\left(x_{5} - y_{5} - z_{5}\right) \, \mathbf{a}_{1}+\left(x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{2}- \left(x_{5} + y_{5} - z_{5}\right) \, \mathbf{a}_{3}$ = $a z_{5} \,\mathbf{\hat{x}}- a y_{5} \,\mathbf{\hat{y}}+a x_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{95}}$ = $\left(x_{5} + y_{5} + z_{5}\right) \, \mathbf{a}_{1}+\left(x_{5} - y_{5} - z_{5}\right) \, \mathbf{a}_{2}- \left(x_{5} - y_{5} + z_{5}\right) \, \mathbf{a}_{3}$ = $- a z_{5} \,\mathbf{\hat{x}}+a y_{5} \,\mathbf{\hat{y}}+a x_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{96}}$ = $- \left(x_{5} + y_{5} - z_{5}\right) \, \mathbf{a}_{1}- \left(x_{5} - y_{5} + z_{5}\right) \, \mathbf{a}_{2}+\left(x_{5} - y_{5} - z_{5}\right) \, \mathbf{a}_{3}$ = $- a z_{5} \,\mathbf{\hat{x}}- a y_{5} \,\mathbf{\hat{y}}- a x_{5} \,\mathbf{\hat{z}}$ (96j) C III
$\mathbf{B_{97}}$ = $\left(- x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{1}+\left(x_{6} - y_{6} + z_{6}\right) \, \mathbf{a}_{2}+\left(x_{6} + y_{6} - z_{6}\right) \, \mathbf{a}_{3}$ = $a x_{6} \,\mathbf{\hat{x}}+a y_{6} \,\mathbf{\hat{y}}+a z_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{98}}$ = $\left(x_{6} - y_{6} + z_{6}\right) \, \mathbf{a}_{1}+\left(- x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{2}- \left(x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{3}$ = $- a x_{6} \,\mathbf{\hat{x}}- a y_{6} \,\mathbf{\hat{y}}+a z_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{99}}$ = $\left(x_{6} + y_{6} - z_{6}\right) \, \mathbf{a}_{1}- \left(x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{2}+\left(- x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{3}$ = $- a x_{6} \,\mathbf{\hat{x}}+a y_{6} \,\mathbf{\hat{y}}- a z_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{100}}$ = $- \left(x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{1}+\left(x_{6} + y_{6} - z_{6}\right) \, \mathbf{a}_{2}+\left(x_{6} - y_{6} + z_{6}\right) \, \mathbf{a}_{3}$ = $a x_{6} \,\mathbf{\hat{x}}- a y_{6} \,\mathbf{\hat{y}}- a z_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{101}}$ = $\left(x_{6} + y_{6} - z_{6}\right) \, \mathbf{a}_{1}+\left(- x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{2}+\left(x_{6} - y_{6} + z_{6}\right) \, \mathbf{a}_{3}$ = $a z_{6} \,\mathbf{\hat{x}}+a x_{6} \,\mathbf{\hat{y}}+a y_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{102}}$ = $- \left(x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{1}+\left(x_{6} - y_{6} + z_{6}\right) \, \mathbf{a}_{2}+\left(- x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{3}$ = $a z_{6} \,\mathbf{\hat{x}}- a x_{6} \,\mathbf{\hat{y}}- a y_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{103}}$ = $\left(- x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{1}+\left(x_{6} + y_{6} - z_{6}\right) \, \mathbf{a}_{2}- \left(x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{3}$ = $- a z_{6} \,\mathbf{\hat{x}}- a x_{6} \,\mathbf{\hat{y}}+a y_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{104}}$ = $\left(x_{6} - y_{6} + z_{6}\right) \, \mathbf{a}_{1}- \left(x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{2}+\left(x_{6} + y_{6} - z_{6}\right) \, \mathbf{a}_{3}$ = $- a z_{6} \,\mathbf{\hat{x}}+a x_{6} \,\mathbf{\hat{y}}- a y_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{105}}$ = $\left(x_{6} - y_{6} + z_{6}\right) \, \mathbf{a}_{1}+\left(x_{6} + y_{6} - z_{6}\right) \, \mathbf{a}_{2}+\left(- x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{3}$ = $a y_{6} \,\mathbf{\hat{x}}+a z_{6} \,\mathbf{\hat{y}}+a x_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{106}}$ = $\left(- x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{1}- \left(x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{2}+\left(x_{6} - y_{6} + z_{6}\right) \, \mathbf{a}_{3}$ = $- a y_{6} \,\mathbf{\hat{x}}+a z_{6} \,\mathbf{\hat{y}}- a x_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{107}}$ = $- \left(x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{1}+\left(- x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{2}+\left(x_{6} + y_{6} - z_{6}\right) \, \mathbf{a}_{3}$ = $a y_{6} \,\mathbf{\hat{x}}- a z_{6} \,\mathbf{\hat{y}}- a x_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{108}}$ = $\left(x_{6} + y_{6} - z_{6}\right) \, \mathbf{a}_{1}+\left(x_{6} - y_{6} + z_{6}\right) \, \mathbf{a}_{2}- \left(x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{3}$ = $- a y_{6} \,\mathbf{\hat{x}}- a z_{6} \,\mathbf{\hat{y}}+a x_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{109}}$ = $\left(x_{6} - y_{6} - z_{6}\right) \, \mathbf{a}_{1}- \left(x_{6} - y_{6} + z_{6}\right) \, \mathbf{a}_{2}+\left(x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{3}$ = $a y_{6} \,\mathbf{\hat{x}}+a x_{6} \,\mathbf{\hat{y}}- a z_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{110}}$ = $- \left(x_{6} - y_{6} + z_{6}\right) \, \mathbf{a}_{1}+\left(x_{6} - y_{6} - z_{6}\right) \, \mathbf{a}_{2}- \left(x_{6} + y_{6} - z_{6}\right) \, \mathbf{a}_{3}$ = $- a y_{6} \,\mathbf{\hat{x}}- a x_{6} \,\mathbf{\hat{y}}- a z_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{111}}$ = $- \left(x_{6} + y_{6} - z_{6}\right) \, \mathbf{a}_{1}+\left(x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{2}- \left(x_{6} - y_{6} + z_{6}\right) \, \mathbf{a}_{3}$ = $a y_{6} \,\mathbf{\hat{x}}- a x_{6} \,\mathbf{\hat{y}}+a z_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{112}}$ = $\left(x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{1}- \left(x_{6} + y_{6} - z_{6}\right) \, \mathbf{a}_{2}+\left(x_{6} - y_{6} - z_{6}\right) \, \mathbf{a}_{3}$ = $- a y_{6} \,\mathbf{\hat{x}}+a x_{6} \,\mathbf{\hat{y}}+a z_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{113}}$ = $- \left(x_{6} + y_{6} - z_{6}\right) \, \mathbf{a}_{1}+\left(x_{6} - y_{6} - z_{6}\right) \, \mathbf{a}_{2}+\left(x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{3}$ = $a x_{6} \,\mathbf{\hat{x}}+a z_{6} \,\mathbf{\hat{y}}- a y_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{114}}$ = $\left(x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{1}- \left(x_{6} - y_{6} + z_{6}\right) \, \mathbf{a}_{2}- \left(x_{6} + y_{6} - z_{6}\right) \, \mathbf{a}_{3}$ = $- a x_{6} \,\mathbf{\hat{x}}+a z_{6} \,\mathbf{\hat{y}}+a y_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{115}}$ = $\left(x_{6} - y_{6} - z_{6}\right) \, \mathbf{a}_{1}- \left(x_{6} + y_{6} - z_{6}\right) \, \mathbf{a}_{2}- \left(x_{6} - y_{6} + z_{6}\right) \, \mathbf{a}_{3}$ = $- a x_{6} \,\mathbf{\hat{x}}- a z_{6} \,\mathbf{\hat{y}}- a y_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{116}}$ = $- \left(x_{6} - y_{6} + z_{6}\right) \, \mathbf{a}_{1}+\left(x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{2}+\left(x_{6} - y_{6} - z_{6}\right) \, \mathbf{a}_{3}$ = $a x_{6} \,\mathbf{\hat{x}}- a z_{6} \,\mathbf{\hat{y}}+a y_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{117}}$ = $- \left(x_{6} - y_{6} + z_{6}\right) \, \mathbf{a}_{1}- \left(x_{6} + y_{6} - z_{6}\right) \, \mathbf{a}_{2}+\left(x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{3}$ = $a z_{6} \,\mathbf{\hat{x}}+a y_{6} \,\mathbf{\hat{y}}- a x_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{118}}$ = $\left(x_{6} - y_{6} - z_{6}\right) \, \mathbf{a}_{1}+\left(x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{2}- \left(x_{6} + y_{6} - z_{6}\right) \, \mathbf{a}_{3}$ = $a z_{6} \,\mathbf{\hat{x}}- a y_{6} \,\mathbf{\hat{y}}+a x_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{119}}$ = $\left(x_{6} + y_{6} + z_{6}\right) \, \mathbf{a}_{1}+\left(x_{6} - y_{6} - z_{6}\right) \, \mathbf{a}_{2}- \left(x_{6} - y_{6} + z_{6}\right) \, \mathbf{a}_{3}$ = $- a z_{6} \,\mathbf{\hat{x}}+a y_{6} \,\mathbf{\hat{y}}+a x_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{120}}$ = $- \left(x_{6} + y_{6} - z_{6}\right) \, \mathbf{a}_{1}- \left(x_{6} - y_{6} + z_{6}\right) \, \mathbf{a}_{2}+\left(x_{6} - y_{6} - z_{6}\right) \, \mathbf{a}_{3}$ = $- a z_{6} \,\mathbf{\hat{x}}- a y_{6} \,\mathbf{\hat{y}}- a x_{6} \,\mathbf{\hat{z}}$ (96j) C IV
$\mathbf{B_{121}}$ = $\left(- x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{1}+\left(x_{7} - y_{7} + z_{7}\right) \, \mathbf{a}_{2}+\left(x_{7} + y_{7} - z_{7}\right) \, \mathbf{a}_{3}$ = $a x_{7} \,\mathbf{\hat{x}}+a y_{7} \,\mathbf{\hat{y}}+a z_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{122}}$ = $\left(x_{7} - y_{7} + z_{7}\right) \, \mathbf{a}_{1}+\left(- x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{2}- \left(x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{3}$ = $- a x_{7} \,\mathbf{\hat{x}}- a y_{7} \,\mathbf{\hat{y}}+a z_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{123}}$ = $\left(x_{7} + y_{7} - z_{7}\right) \, \mathbf{a}_{1}- \left(x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{2}+\left(- x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{3}$ = $- a x_{7} \,\mathbf{\hat{x}}+a y_{7} \,\mathbf{\hat{y}}- a z_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{124}}$ = $- \left(x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{1}+\left(x_{7} + y_{7} - z_{7}\right) \, \mathbf{a}_{2}+\left(x_{7} - y_{7} + z_{7}\right) \, \mathbf{a}_{3}$ = $a x_{7} \,\mathbf{\hat{x}}- a y_{7} \,\mathbf{\hat{y}}- a z_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{125}}$ = $\left(x_{7} + y_{7} - z_{7}\right) \, \mathbf{a}_{1}+\left(- x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{2}+\left(x_{7} - y_{7} + z_{7}\right) \, \mathbf{a}_{3}$ = $a z_{7} \,\mathbf{\hat{x}}+a x_{7} \,\mathbf{\hat{y}}+a y_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{126}}$ = $- \left(x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{1}+\left(x_{7} - y_{7} + z_{7}\right) \, \mathbf{a}_{2}+\left(- x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{3}$ = $a z_{7} \,\mathbf{\hat{x}}- a x_{7} \,\mathbf{\hat{y}}- a y_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{127}}$ = $\left(- x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{1}+\left(x_{7} + y_{7} - z_{7}\right) \, \mathbf{a}_{2}- \left(x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{3}$ = $- a z_{7} \,\mathbf{\hat{x}}- a x_{7} \,\mathbf{\hat{y}}+a y_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{128}}$ = $\left(x_{7} - y_{7} + z_{7}\right) \, \mathbf{a}_{1}- \left(x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{2}+\left(x_{7} + y_{7} - z_{7}\right) \, \mathbf{a}_{3}$ = $- a z_{7} \,\mathbf{\hat{x}}+a x_{7} \,\mathbf{\hat{y}}- a y_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{129}}$ = $\left(x_{7} - y_{7} + z_{7}\right) \, \mathbf{a}_{1}+\left(x_{7} + y_{7} - z_{7}\right) \, \mathbf{a}_{2}+\left(- x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{3}$ = $a y_{7} \,\mathbf{\hat{x}}+a z_{7} \,\mathbf{\hat{y}}+a x_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{130}}$ = $\left(- x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{1}- \left(x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{2}+\left(x_{7} - y_{7} + z_{7}\right) \, \mathbf{a}_{3}$ = $- a y_{7} \,\mathbf{\hat{x}}+a z_{7} \,\mathbf{\hat{y}}- a x_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{131}}$ = $- \left(x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{1}+\left(- x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{2}+\left(x_{7} + y_{7} - z_{7}\right) \, \mathbf{a}_{3}$ = $a y_{7} \,\mathbf{\hat{x}}- a z_{7} \,\mathbf{\hat{y}}- a x_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{132}}$ = $\left(x_{7} + y_{7} - z_{7}\right) \, \mathbf{a}_{1}+\left(x_{7} - y_{7} + z_{7}\right) \, \mathbf{a}_{2}- \left(x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{3}$ = $- a y_{7} \,\mathbf{\hat{x}}- a z_{7} \,\mathbf{\hat{y}}+a x_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{133}}$ = $\left(x_{7} - y_{7} - z_{7}\right) \, \mathbf{a}_{1}- \left(x_{7} - y_{7} + z_{7}\right) \, \mathbf{a}_{2}+\left(x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{3}$ = $a y_{7} \,\mathbf{\hat{x}}+a x_{7} \,\mathbf{\hat{y}}- a z_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{134}}$ = $- \left(x_{7} - y_{7} + z_{7}\right) \, \mathbf{a}_{1}+\left(x_{7} - y_{7} - z_{7}\right) \, \mathbf{a}_{2}- \left(x_{7} + y_{7} - z_{7}\right) \, \mathbf{a}_{3}$ = $- a y_{7} \,\mathbf{\hat{x}}- a x_{7} \,\mathbf{\hat{y}}- a z_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{135}}$ = $- \left(x_{7} + y_{7} - z_{7}\right) \, \mathbf{a}_{1}+\left(x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{2}- \left(x_{7} - y_{7} + z_{7}\right) \, \mathbf{a}_{3}$ = $a y_{7} \,\mathbf{\hat{x}}- a x_{7} \,\mathbf{\hat{y}}+a z_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{136}}$ = $\left(x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{1}- \left(x_{7} + y_{7} - z_{7}\right) \, \mathbf{a}_{2}+\left(x_{7} - y_{7} - z_{7}\right) \, \mathbf{a}_{3}$ = $- a y_{7} \,\mathbf{\hat{x}}+a x_{7} \,\mathbf{\hat{y}}+a z_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{137}}$ = $- \left(x_{7} + y_{7} - z_{7}\right) \, \mathbf{a}_{1}+\left(x_{7} - y_{7} - z_{7}\right) \, \mathbf{a}_{2}+\left(x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{3}$ = $a x_{7} \,\mathbf{\hat{x}}+a z_{7} \,\mathbf{\hat{y}}- a y_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{138}}$ = $\left(x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{1}- \left(x_{7} - y_{7} + z_{7}\right) \, \mathbf{a}_{2}- \left(x_{7} + y_{7} - z_{7}\right) \, \mathbf{a}_{3}$ = $- a x_{7} \,\mathbf{\hat{x}}+a z_{7} \,\mathbf{\hat{y}}+a y_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{139}}$ = $\left(x_{7} - y_{7} - z_{7}\right) \, \mathbf{a}_{1}- \left(x_{7} + y_{7} - z_{7}\right) \, \mathbf{a}_{2}- \left(x_{7} - y_{7} + z_{7}\right) \, \mathbf{a}_{3}$ = $- a x_{7} \,\mathbf{\hat{x}}- a z_{7} \,\mathbf{\hat{y}}- a y_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{140}}$ = $- \left(x_{7} - y_{7} + z_{7}\right) \, \mathbf{a}_{1}+\left(x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{2}+\left(x_{7} - y_{7} - z_{7}\right) \, \mathbf{a}_{3}$ = $a x_{7} \,\mathbf{\hat{x}}- a z_{7} \,\mathbf{\hat{y}}+a y_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{141}}$ = $- \left(x_{7} - y_{7} + z_{7}\right) \, \mathbf{a}_{1}- \left(x_{7} + y_{7} - z_{7}\right) \, \mathbf{a}_{2}+\left(x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{3}$ = $a z_{7} \,\mathbf{\hat{x}}+a y_{7} \,\mathbf{\hat{y}}- a x_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{142}}$ = $\left(x_{7} - y_{7} - z_{7}\right) \, \mathbf{a}_{1}+\left(x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{2}- \left(x_{7} + y_{7} - z_{7}\right) \, \mathbf{a}_{3}$ = $a z_{7} \,\mathbf{\hat{x}}- a y_{7} \,\mathbf{\hat{y}}+a x_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{143}}$ = $\left(x_{7} + y_{7} + z_{7}\right) \, \mathbf{a}_{1}+\left(x_{7} - y_{7} - z_{7}\right) \, \mathbf{a}_{2}- \left(x_{7} - y_{7} + z_{7}\right) \, \mathbf{a}_{3}$ = $- a z_{7} \,\mathbf{\hat{x}}+a y_{7} \,\mathbf{\hat{y}}+a x_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{144}}$ = $- \left(x_{7} + y_{7} - z_{7}\right) \, \mathbf{a}_{1}- \left(x_{7} - y_{7} + z_{7}\right) \, \mathbf{a}_{2}+\left(x_{7} - y_{7} - z_{7}\right) \, \mathbf{a}_{3}$ = $- a z_{7} \,\mathbf{\hat{x}}- a y_{7} \,\mathbf{\hat{y}}- a x_{7} \,\mathbf{\hat{z}}$ (96j) C V
$\mathbf{B_{145}}$ = $\left(- x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{1}+\left(x_{8} - y_{8} + z_{8}\right) \, \mathbf{a}_{2}+\left(x_{8} + y_{8} - z_{8}\right) \, \mathbf{a}_{3}$ = $a x_{8} \,\mathbf{\hat{x}}+a y_{8} \,\mathbf{\hat{y}}+a z_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{146}}$ = $\left(x_{8} - y_{8} + z_{8}\right) \, \mathbf{a}_{1}+\left(- x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{2}- \left(x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{3}$ = $- a x_{8} \,\mathbf{\hat{x}}- a y_{8} \,\mathbf{\hat{y}}+a z_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{147}}$ = $\left(x_{8} + y_{8} - z_{8}\right) \, \mathbf{a}_{1}- \left(x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{2}+\left(- x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{3}$ = $- a x_{8} \,\mathbf{\hat{x}}+a y_{8} \,\mathbf{\hat{y}}- a z_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{148}}$ = $- \left(x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{1}+\left(x_{8} + y_{8} - z_{8}\right) \, \mathbf{a}_{2}+\left(x_{8} - y_{8} + z_{8}\right) \, \mathbf{a}_{3}$ = $a x_{8} \,\mathbf{\hat{x}}- a y_{8} \,\mathbf{\hat{y}}- a z_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{149}}$ = $\left(x_{8} + y_{8} - z_{8}\right) \, \mathbf{a}_{1}+\left(- x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{2}+\left(x_{8} - y_{8} + z_{8}\right) \, \mathbf{a}_{3}$ = $a z_{8} \,\mathbf{\hat{x}}+a x_{8} \,\mathbf{\hat{y}}+a y_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{150}}$ = $- \left(x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{1}+\left(x_{8} - y_{8} + z_{8}\right) \, \mathbf{a}_{2}+\left(- x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{3}$ = $a z_{8} \,\mathbf{\hat{x}}- a x_{8} \,\mathbf{\hat{y}}- a y_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{151}}$ = $\left(- x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{1}+\left(x_{8} + y_{8} - z_{8}\right) \, \mathbf{a}_{2}- \left(x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{3}$ = $- a z_{8} \,\mathbf{\hat{x}}- a x_{8} \,\mathbf{\hat{y}}+a y_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{152}}$ = $\left(x_{8} - y_{8} + z_{8}\right) \, \mathbf{a}_{1}- \left(x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{2}+\left(x_{8} + y_{8} - z_{8}\right) \, \mathbf{a}_{3}$ = $- a z_{8} \,\mathbf{\hat{x}}+a x_{8} \,\mathbf{\hat{y}}- a y_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{153}}$ = $\left(x_{8} - y_{8} + z_{8}\right) \, \mathbf{a}_{1}+\left(x_{8} + y_{8} - z_{8}\right) \, \mathbf{a}_{2}+\left(- x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{3}$ = $a y_{8} \,\mathbf{\hat{x}}+a z_{8} \,\mathbf{\hat{y}}+a x_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{154}}$ = $\left(- x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{1}- \left(x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{2}+\left(x_{8} - y_{8} + z_{8}\right) \, \mathbf{a}_{3}$ = $- a y_{8} \,\mathbf{\hat{x}}+a z_{8} \,\mathbf{\hat{y}}- a x_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{155}}$ = $- \left(x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{1}+\left(- x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{2}+\left(x_{8} + y_{8} - z_{8}\right) \, \mathbf{a}_{3}$ = $a y_{8} \,\mathbf{\hat{x}}- a z_{8} \,\mathbf{\hat{y}}- a x_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{156}}$ = $\left(x_{8} + y_{8} - z_{8}\right) \, \mathbf{a}_{1}+\left(x_{8} - y_{8} + z_{8}\right) \, \mathbf{a}_{2}- \left(x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{3}$ = $- a y_{8} \,\mathbf{\hat{x}}- a z_{8} \,\mathbf{\hat{y}}+a x_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{157}}$ = $\left(x_{8} - y_{8} - z_{8}\right) \, \mathbf{a}_{1}- \left(x_{8} - y_{8} + z_{8}\right) \, \mathbf{a}_{2}+\left(x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{3}$ = $a y_{8} \,\mathbf{\hat{x}}+a x_{8} \,\mathbf{\hat{y}}- a z_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{158}}$ = $- \left(x_{8} - y_{8} + z_{8}\right) \, \mathbf{a}_{1}+\left(x_{8} - y_{8} - z_{8}\right) \, \mathbf{a}_{2}- \left(x_{8} + y_{8} - z_{8}\right) \, \mathbf{a}_{3}$ = $- a y_{8} \,\mathbf{\hat{x}}- a x_{8} \,\mathbf{\hat{y}}- a z_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{159}}$ = $- \left(x_{8} + y_{8} - z_{8}\right) \, \mathbf{a}_{1}+\left(x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{2}- \left(x_{8} - y_{8} + z_{8}\right) \, \mathbf{a}_{3}$ = $a y_{8} \,\mathbf{\hat{x}}- a x_{8} \,\mathbf{\hat{y}}+a z_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{160}}$ = $\left(x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{1}- \left(x_{8} + y_{8} - z_{8}\right) \, \mathbf{a}_{2}+\left(x_{8} - y_{8} - z_{8}\right) \, \mathbf{a}_{3}$ = $- a y_{8} \,\mathbf{\hat{x}}+a x_{8} \,\mathbf{\hat{y}}+a z_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{161}}$ = $- \left(x_{8} + y_{8} - z_{8}\right) \, \mathbf{a}_{1}+\left(x_{8} - y_{8} - z_{8}\right) \, \mathbf{a}_{2}+\left(x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{3}$ = $a x_{8} \,\mathbf{\hat{x}}+a z_{8} \,\mathbf{\hat{y}}- a y_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{162}}$ = $\left(x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{1}- \left(x_{8} - y_{8} + z_{8}\right) \, \mathbf{a}_{2}- \left(x_{8} + y_{8} - z_{8}\right) \, \mathbf{a}_{3}$ = $- a x_{8} \,\mathbf{\hat{x}}+a z_{8} \,\mathbf{\hat{y}}+a y_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{163}}$ = $\left(x_{8} - y_{8} - z_{8}\right) \, \mathbf{a}_{1}- \left(x_{8} + y_{8} - z_{8}\right) \, \mathbf{a}_{2}- \left(x_{8} - y_{8} + z_{8}\right) \, \mathbf{a}_{3}$ = $- a x_{8} \,\mathbf{\hat{x}}- a z_{8} \,\mathbf{\hat{y}}- a y_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{164}}$ = $- \left(x_{8} - y_{8} + z_{8}\right) \, \mathbf{a}_{1}+\left(x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{2}+\left(x_{8} - y_{8} - z_{8}\right) \, \mathbf{a}_{3}$ = $a x_{8} \,\mathbf{\hat{x}}- a z_{8} \,\mathbf{\hat{y}}+a y_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{165}}$ = $- \left(x_{8} - y_{8} + z_{8}\right) \, \mathbf{a}_{1}- \left(x_{8} + y_{8} - z_{8}\right) \, \mathbf{a}_{2}+\left(x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{3}$ = $a z_{8} \,\mathbf{\hat{x}}+a y_{8} \,\mathbf{\hat{y}}- a x_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{166}}$ = $\left(x_{8} - y_{8} - z_{8}\right) \, \mathbf{a}_{1}+\left(x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{2}- \left(x_{8} + y_{8} - z_{8}\right) \, \mathbf{a}_{3}$ = $a z_{8} \,\mathbf{\hat{x}}- a y_{8} \,\mathbf{\hat{y}}+a x_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{167}}$ = $\left(x_{8} + y_{8} + z_{8}\right) \, \mathbf{a}_{1}+\left(x_{8} - y_{8} - z_{8}\right) \, \mathbf{a}_{2}- \left(x_{8} - y_{8} + z_{8}\right) \, \mathbf{a}_{3}$ = $- a z_{8} \,\mathbf{\hat{x}}+a y_{8} \,\mathbf{\hat{y}}+a x_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{168}}$ = $- \left(x_{8} + y_{8} - z_{8}\right) \, \mathbf{a}_{1}- \left(x_{8} - y_{8} + z_{8}\right) \, \mathbf{a}_{2}+\left(x_{8} - y_{8} - z_{8}\right) \, \mathbf{a}_{3}$ = $- a z_{8} \,\mathbf{\hat{x}}- a y_{8} \,\mathbf{\hat{y}}- a x_{8} \,\mathbf{\hat{z}}$ (96j) C VI
$\mathbf{B_{169}}$ = $\left(- x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{1}+\left(x_{9} - y_{9} + z_{9}\right) \, \mathbf{a}_{2}+\left(x_{9} + y_{9} - z_{9}\right) \, \mathbf{a}_{3}$ = $a x_{9} \,\mathbf{\hat{x}}+a y_{9} \,\mathbf{\hat{y}}+a z_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{170}}$ = $\left(x_{9} - y_{9} + z_{9}\right) \, \mathbf{a}_{1}+\left(- x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{2}- \left(x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{3}$ = $- a x_{9} \,\mathbf{\hat{x}}- a y_{9} \,\mathbf{\hat{y}}+a z_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{171}}$ = $\left(x_{9} + y_{9} - z_{9}\right) \, \mathbf{a}_{1}- \left(x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{2}+\left(- x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{3}$ = $- a x_{9} \,\mathbf{\hat{x}}+a y_{9} \,\mathbf{\hat{y}}- a z_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{172}}$ = $- \left(x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{1}+\left(x_{9} + y_{9} - z_{9}\right) \, \mathbf{a}_{2}+\left(x_{9} - y_{9} + z_{9}\right) \, \mathbf{a}_{3}$ = $a x_{9} \,\mathbf{\hat{x}}- a y_{9} \,\mathbf{\hat{y}}- a z_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{173}}$ = $\left(x_{9} + y_{9} - z_{9}\right) \, \mathbf{a}_{1}+\left(- x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{2}+\left(x_{9} - y_{9} + z_{9}\right) \, \mathbf{a}_{3}$ = $a z_{9} \,\mathbf{\hat{x}}+a x_{9} \,\mathbf{\hat{y}}+a y_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{174}}$ = $- \left(x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{1}+\left(x_{9} - y_{9} + z_{9}\right) \, \mathbf{a}_{2}+\left(- x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{3}$ = $a z_{9} \,\mathbf{\hat{x}}- a x_{9} \,\mathbf{\hat{y}}- a y_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{175}}$ = $\left(- x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{1}+\left(x_{9} + y_{9} - z_{9}\right) \, \mathbf{a}_{2}- \left(x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{3}$ = $- a z_{9} \,\mathbf{\hat{x}}- a x_{9} \,\mathbf{\hat{y}}+a y_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{176}}$ = $\left(x_{9} - y_{9} + z_{9}\right) \, \mathbf{a}_{1}- \left(x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{2}+\left(x_{9} + y_{9} - z_{9}\right) \, \mathbf{a}_{3}$ = $- a z_{9} \,\mathbf{\hat{x}}+a x_{9} \,\mathbf{\hat{y}}- a y_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{177}}$ = $\left(x_{9} - y_{9} + z_{9}\right) \, \mathbf{a}_{1}+\left(x_{9} + y_{9} - z_{9}\right) \, \mathbf{a}_{2}+\left(- x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{3}$ = $a y_{9} \,\mathbf{\hat{x}}+a z_{9} \,\mathbf{\hat{y}}+a x_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{178}}$ = $\left(- x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{1}- \left(x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{2}+\left(x_{9} - y_{9} + z_{9}\right) \, \mathbf{a}_{3}$ = $- a y_{9} \,\mathbf{\hat{x}}+a z_{9} \,\mathbf{\hat{y}}- a x_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{179}}$ = $- \left(x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{1}+\left(- x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{2}+\left(x_{9} + y_{9} - z_{9}\right) \, \mathbf{a}_{3}$ = $a y_{9} \,\mathbf{\hat{x}}- a z_{9} \,\mathbf{\hat{y}}- a x_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{180}}$ = $\left(x_{9} + y_{9} - z_{9}\right) \, \mathbf{a}_{1}+\left(x_{9} - y_{9} + z_{9}\right) \, \mathbf{a}_{2}- \left(x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{3}$ = $- a y_{9} \,\mathbf{\hat{x}}- a z_{9} \,\mathbf{\hat{y}}+a x_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{181}}$ = $\left(x_{9} - y_{9} - z_{9}\right) \, \mathbf{a}_{1}- \left(x_{9} - y_{9} + z_{9}\right) \, \mathbf{a}_{2}+\left(x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{3}$ = $a y_{9} \,\mathbf{\hat{x}}+a x_{9} \,\mathbf{\hat{y}}- a z_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{182}}$ = $- \left(x_{9} - y_{9} + z_{9}\right) \, \mathbf{a}_{1}+\left(x_{9} - y_{9} - z_{9}\right) \, \mathbf{a}_{2}- \left(x_{9} + y_{9} - z_{9}\right) \, \mathbf{a}_{3}$ = $- a y_{9} \,\mathbf{\hat{x}}- a x_{9} \,\mathbf{\hat{y}}- a z_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{183}}$ = $- \left(x_{9} + y_{9} - z_{9}\right) \, \mathbf{a}_{1}+\left(x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{2}- \left(x_{9} - y_{9} + z_{9}\right) \, \mathbf{a}_{3}$ = $a y_{9} \,\mathbf{\hat{x}}- a x_{9} \,\mathbf{\hat{y}}+a z_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{184}}$ = $\left(x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{1}- \left(x_{9} + y_{9} - z_{9}\right) \, \mathbf{a}_{2}+\left(x_{9} - y_{9} - z_{9}\right) \, \mathbf{a}_{3}$ = $- a y_{9} \,\mathbf{\hat{x}}+a x_{9} \,\mathbf{\hat{y}}+a z_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{185}}$ = $- \left(x_{9} + y_{9} - z_{9}\right) \, \mathbf{a}_{1}+\left(x_{9} - y_{9} - z_{9}\right) \, \mathbf{a}_{2}+\left(x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{3}$ = $a x_{9} \,\mathbf{\hat{x}}+a z_{9} \,\mathbf{\hat{y}}- a y_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{186}}$ = $\left(x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{1}- \left(x_{9} - y_{9} + z_{9}\right) \, \mathbf{a}_{2}- \left(x_{9} + y_{9} - z_{9}\right) \, \mathbf{a}_{3}$ = $- a x_{9} \,\mathbf{\hat{x}}+a z_{9} \,\mathbf{\hat{y}}+a y_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{187}}$ = $\left(x_{9} - y_{9} - z_{9}\right) \, \mathbf{a}_{1}- \left(x_{9} + y_{9} - z_{9}\right) \, \mathbf{a}_{2}- \left(x_{9} - y_{9} + z_{9}\right) \, \mathbf{a}_{3}$ = $- a x_{9} \,\mathbf{\hat{x}}- a z_{9} \,\mathbf{\hat{y}}- a y_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{188}}$ = $- \left(x_{9} - y_{9} + z_{9}\right) \, \mathbf{a}_{1}+\left(x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{2}+\left(x_{9} - y_{9} - z_{9}\right) \, \mathbf{a}_{3}$ = $a x_{9} \,\mathbf{\hat{x}}- a z_{9} \,\mathbf{\hat{y}}+a y_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{189}}$ = $- \left(x_{9} - y_{9} + z_{9}\right) \, \mathbf{a}_{1}- \left(x_{9} + y_{9} - z_{9}\right) \, \mathbf{a}_{2}+\left(x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{3}$ = $a z_{9} \,\mathbf{\hat{x}}+a y_{9} \,\mathbf{\hat{y}}- a x_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{190}}$ = $\left(x_{9} - y_{9} - z_{9}\right) \, \mathbf{a}_{1}+\left(x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{2}- \left(x_{9} + y_{9} - z_{9}\right) \, \mathbf{a}_{3}$ = $a z_{9} \,\mathbf{\hat{x}}- a y_{9} \,\mathbf{\hat{y}}+a x_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{191}}$ = $\left(x_{9} + y_{9} + z_{9}\right) \, \mathbf{a}_{1}+\left(x_{9} - y_{9} - z_{9}\right) \, \mathbf{a}_{2}- \left(x_{9} - y_{9} + z_{9}\right) \, \mathbf{a}_{3}$ = $- a z_{9} \,\mathbf{\hat{x}}+a y_{9} \,\mathbf{\hat{y}}+a x_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{192}}$ = $- \left(x_{9} + y_{9} - z_{9}\right) \, \mathbf{a}_{1}- \left(x_{9} - y_{9} + z_{9}\right) \, \mathbf{a}_{2}+\left(x_{9} - y_{9} - z_{9}\right) \, \mathbf{a}_{3}$ = $- a z_{9} \,\mathbf{\hat{x}}- a y_{9} \,\mathbf{\hat{y}}- a x_{9} \,\mathbf{\hat{z}}$ (96j) C VII
$\mathbf{B_{193}}$ = $\left(- x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{3}$ = $a x_{10} \,\mathbf{\hat{x}}+a y_{10} \,\mathbf{\hat{y}}+a z_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{194}}$ = $\left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{1}+\left(- x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{2}- \left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ = $- a x_{10} \,\mathbf{\hat{x}}- a y_{10} \,\mathbf{\hat{y}}+a z_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{195}}$ = $\left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{1}- \left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{2}+\left(- x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ = $- a x_{10} \,\mathbf{\hat{x}}+a y_{10} \,\mathbf{\hat{y}}- a z_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{196}}$ = $- \left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ = $a x_{10} \,\mathbf{\hat{x}}- a y_{10} \,\mathbf{\hat{y}}- a z_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{197}}$ = $\left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{1}+\left(- x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ = $a z_{10} \,\mathbf{\hat{x}}+a x_{10} \,\mathbf{\hat{y}}+a y_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{198}}$ = $- \left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{2}+\left(- x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ = $a z_{10} \,\mathbf{\hat{x}}- a x_{10} \,\mathbf{\hat{y}}- a y_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{199}}$ = $\left(- x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{2}- \left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ = $- a z_{10} \,\mathbf{\hat{x}}- a x_{10} \,\mathbf{\hat{y}}+a y_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{200}}$ = $\left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{1}- \left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{3}$ = $- a z_{10} \,\mathbf{\hat{x}}+a x_{10} \,\mathbf{\hat{y}}- a y_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{201}}$ = $\left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{2}+\left(- x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ = $a y_{10} \,\mathbf{\hat{x}}+a z_{10} \,\mathbf{\hat{y}}+a x_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{202}}$ = $\left(- x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{1}- \left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ = $- a y_{10} \,\mathbf{\hat{x}}+a z_{10} \,\mathbf{\hat{y}}- a x_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{203}}$ = $- \left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{1}+\left(- x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{3}$ = $a y_{10} \,\mathbf{\hat{x}}- a z_{10} \,\mathbf{\hat{y}}- a x_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{204}}$ = $\left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{2}- \left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ = $- a y_{10} \,\mathbf{\hat{x}}- a z_{10} \,\mathbf{\hat{y}}+a x_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{205}}$ = $\left(x_{10} - y_{10} - z_{10}\right) \, \mathbf{a}_{1}- \left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ = $a y_{10} \,\mathbf{\hat{x}}+a x_{10} \,\mathbf{\hat{y}}- a z_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{206}}$ = $- \left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} - y_{10} - z_{10}\right) \, \mathbf{a}_{2}- \left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{3}$ = $- a y_{10} \,\mathbf{\hat{x}}- a x_{10} \,\mathbf{\hat{y}}- a z_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{207}}$ = $- \left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{2}- \left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ = $a y_{10} \,\mathbf{\hat{x}}- a x_{10} \,\mathbf{\hat{y}}+a z_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{208}}$ = $\left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{1}- \left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} - y_{10} - z_{10}\right) \, \mathbf{a}_{3}$ = $- a y_{10} \,\mathbf{\hat{x}}+a x_{10} \,\mathbf{\hat{y}}+a z_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{209}}$ = $- \left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} - y_{10} - z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ = $a x_{10} \,\mathbf{\hat{x}}+a z_{10} \,\mathbf{\hat{y}}- a y_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{210}}$ = $\left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{1}- \left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{2}- \left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{3}$ = $- a x_{10} \,\mathbf{\hat{x}}+a z_{10} \,\mathbf{\hat{y}}+a y_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{211}}$ = $\left(x_{10} - y_{10} - z_{10}\right) \, \mathbf{a}_{1}- \left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{2}- \left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ = $- a x_{10} \,\mathbf{\hat{x}}- a z_{10} \,\mathbf{\hat{y}}- a y_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{212}}$ = $- \left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} - y_{10} - z_{10}\right) \, \mathbf{a}_{3}$ = $a x_{10} \,\mathbf{\hat{x}}- a z_{10} \,\mathbf{\hat{y}}+a y_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{213}}$ = $- \left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{1}- \left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ = $a z_{10} \,\mathbf{\hat{x}}+a y_{10} \,\mathbf{\hat{y}}- a x_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{214}}$ = $\left(x_{10} - y_{10} - z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{2}- \left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{3}$ = $a z_{10} \,\mathbf{\hat{x}}- a y_{10} \,\mathbf{\hat{y}}+a x_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{215}}$ = $\left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} - y_{10} - z_{10}\right) \, \mathbf{a}_{2}- \left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ = $- a z_{10} \,\mathbf{\hat{x}}+a y_{10} \,\mathbf{\hat{y}}+a x_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{216}}$ = $- \left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{1}- \left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} - y_{10} - z_{10}\right) \, \mathbf{a}_{3}$ = $- a z_{10} \,\mathbf{\hat{x}}- a y_{10} \,\mathbf{\hat{y}}- a x_{10} \,\mathbf{\hat{z}}$ (96j) H I
$\mathbf{B_{217}}$ = $\left(- x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{3}$ = $a x_{11} \,\mathbf{\hat{x}}+a y_{11} \,\mathbf{\hat{y}}+a z_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{218}}$ = $\left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{1}+\left(- x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{2}- \left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ = $- a x_{11} \,\mathbf{\hat{x}}- a y_{11} \,\mathbf{\hat{y}}+a z_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{219}}$ = $\left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{1}- \left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{2}+\left(- x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ = $- a x_{11} \,\mathbf{\hat{x}}+a y_{11} \,\mathbf{\hat{y}}- a z_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{220}}$ = $- \left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ = $a x_{11} \,\mathbf{\hat{x}}- a y_{11} \,\mathbf{\hat{y}}- a z_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{221}}$ = $\left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{1}+\left(- x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ = $a z_{11} \,\mathbf{\hat{x}}+a x_{11} \,\mathbf{\hat{y}}+a y_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{222}}$ = $- \left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{2}+\left(- x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ = $a z_{11} \,\mathbf{\hat{x}}- a x_{11} \,\mathbf{\hat{y}}- a y_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{223}}$ = $\left(- x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{2}- \left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ = $- a z_{11} \,\mathbf{\hat{x}}- a x_{11} \,\mathbf{\hat{y}}+a y_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{224}}$ = $\left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{1}- \left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{3}$ = $- a z_{11} \,\mathbf{\hat{x}}+a x_{11} \,\mathbf{\hat{y}}- a y_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{225}}$ = $\left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{2}+\left(- x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ = $a y_{11} \,\mathbf{\hat{x}}+a z_{11} \,\mathbf{\hat{y}}+a x_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{226}}$ = $\left(- x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{1}- \left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ = $- a y_{11} \,\mathbf{\hat{x}}+a z_{11} \,\mathbf{\hat{y}}- a x_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{227}}$ = $- \left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{1}+\left(- x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{3}$ = $a y_{11} \,\mathbf{\hat{x}}- a z_{11} \,\mathbf{\hat{y}}- a x_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{228}}$ = $\left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{2}- \left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ = $- a y_{11} \,\mathbf{\hat{x}}- a z_{11} \,\mathbf{\hat{y}}+a x_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{229}}$ = $\left(x_{11} - y_{11} - z_{11}\right) \, \mathbf{a}_{1}- \left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ = $a y_{11} \,\mathbf{\hat{x}}+a x_{11} \,\mathbf{\hat{y}}- a z_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{230}}$ = $- \left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} - y_{11} - z_{11}\right) \, \mathbf{a}_{2}- \left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{3}$ = $- a y_{11} \,\mathbf{\hat{x}}- a x_{11} \,\mathbf{\hat{y}}- a z_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{231}}$ = $- \left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{2}- \left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ = $a y_{11} \,\mathbf{\hat{x}}- a x_{11} \,\mathbf{\hat{y}}+a z_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{232}}$ = $\left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{1}- \left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} - y_{11} - z_{11}\right) \, \mathbf{a}_{3}$ = $- a y_{11} \,\mathbf{\hat{x}}+a x_{11} \,\mathbf{\hat{y}}+a z_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{233}}$ = $- \left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} - y_{11} - z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ = $a x_{11} \,\mathbf{\hat{x}}+a z_{11} \,\mathbf{\hat{y}}- a y_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{234}}$ = $\left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{1}- \left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{2}- \left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{3}$ = $- a x_{11} \,\mathbf{\hat{x}}+a z_{11} \,\mathbf{\hat{y}}+a y_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{235}}$ = $\left(x_{11} - y_{11} - z_{11}\right) \, \mathbf{a}_{1}- \left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{2}- \left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ = $- a x_{11} \,\mathbf{\hat{x}}- a z_{11} \,\mathbf{\hat{y}}- a y_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{236}}$ = $- \left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} - y_{11} - z_{11}\right) \, \mathbf{a}_{3}$ = $a x_{11} \,\mathbf{\hat{x}}- a z_{11} \,\mathbf{\hat{y}}+a y_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{237}}$ = $- \left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{1}- \left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ = $a z_{11} \,\mathbf{\hat{x}}+a y_{11} \,\mathbf{\hat{y}}- a x_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{238}}$ = $\left(x_{11} - y_{11} - z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{2}- \left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{3}$ = $a z_{11} \,\mathbf{\hat{x}}- a y_{11} \,\mathbf{\hat{y}}+a x_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{239}}$ = $\left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} - y_{11} - z_{11}\right) \, \mathbf{a}_{2}- \left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ = $- a z_{11} \,\mathbf{\hat{x}}+a y_{11} \,\mathbf{\hat{y}}+a x_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{240}}$ = $- \left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{1}- \left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} - y_{11} - z_{11}\right) \, \mathbf{a}_{3}$ = $- a z_{11} \,\mathbf{\hat{x}}- a y_{11} \,\mathbf{\hat{y}}- a x_{11} \,\mathbf{\hat{z}}$ (96j) H II
$\mathbf{B_{241}}$ = $\left(- x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{1}+\left(x_{12} - y_{12} + z_{12}\right) \, \mathbf{a}_{2}+\left(x_{12} + y_{12} - z_{12}\right) \, \mathbf{a}_{3}$ = $a x_{12} \,\mathbf{\hat{x}}+a y_{12} \,\mathbf{\hat{y}}+a z_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{242}}$ = $\left(x_{12} - y_{12} + z_{12}\right) \, \mathbf{a}_{1}+\left(- x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{2}- \left(x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{3}$ = $- a x_{12} \,\mathbf{\hat{x}}- a y_{12} \,\mathbf{\hat{y}}+a z_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{243}}$ = $\left(x_{12} + y_{12} - z_{12}\right) \, \mathbf{a}_{1}- \left(x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{2}+\left(- x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{3}$ = $- a x_{12} \,\mathbf{\hat{x}}+a y_{12} \,\mathbf{\hat{y}}- a z_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{244}}$ = $- \left(x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{1}+\left(x_{12} + y_{12} - z_{12}\right) \, \mathbf{a}_{2}+\left(x_{12} - y_{12} + z_{12}\right) \, \mathbf{a}_{3}$ = $a x_{12} \,\mathbf{\hat{x}}- a y_{12} \,\mathbf{\hat{y}}- a z_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{245}}$ = $\left(x_{12} + y_{12} - z_{12}\right) \, \mathbf{a}_{1}+\left(- x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{2}+\left(x_{12} - y_{12} + z_{12}\right) \, \mathbf{a}_{3}$ = $a z_{12} \,\mathbf{\hat{x}}+a x_{12} \,\mathbf{\hat{y}}+a y_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{246}}$ = $- \left(x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{1}+\left(x_{12} - y_{12} + z_{12}\right) \, \mathbf{a}_{2}+\left(- x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{3}$ = $a z_{12} \,\mathbf{\hat{x}}- a x_{12} \,\mathbf{\hat{y}}- a y_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{247}}$ = $\left(- x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{1}+\left(x_{12} + y_{12} - z_{12}\right) \, \mathbf{a}_{2}- \left(x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{3}$ = $- a z_{12} \,\mathbf{\hat{x}}- a x_{12} \,\mathbf{\hat{y}}+a y_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{248}}$ = $\left(x_{12} - y_{12} + z_{12}\right) \, \mathbf{a}_{1}- \left(x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{2}+\left(x_{12} + y_{12} - z_{12}\right) \, \mathbf{a}_{3}$ = $- a z_{12} \,\mathbf{\hat{x}}+a x_{12} \,\mathbf{\hat{y}}- a y_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{249}}$ = $\left(x_{12} - y_{12} + z_{12}\right) \, \mathbf{a}_{1}+\left(x_{12} + y_{12} - z_{12}\right) \, \mathbf{a}_{2}+\left(- x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{3}$ = $a y_{12} \,\mathbf{\hat{x}}+a z_{12} \,\mathbf{\hat{y}}+a x_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{250}}$ = $\left(- x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{1}- \left(x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{2}+\left(x_{12} - y_{12} + z_{12}\right) \, \mathbf{a}_{3}$ = $- a y_{12} \,\mathbf{\hat{x}}+a z_{12} \,\mathbf{\hat{y}}- a x_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{251}}$ = $- \left(x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{1}+\left(- x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{2}+\left(x_{12} + y_{12} - z_{12}\right) \, \mathbf{a}_{3}$ = $a y_{12} \,\mathbf{\hat{x}}- a z_{12} \,\mathbf{\hat{y}}- a x_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{252}}$ = $\left(x_{12} + y_{12} - z_{12}\right) \, \mathbf{a}_{1}+\left(x_{12} - y_{12} + z_{12}\right) \, \mathbf{a}_{2}- \left(x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{3}$ = $- a y_{12} \,\mathbf{\hat{x}}- a z_{12} \,\mathbf{\hat{y}}+a x_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{253}}$ = $\left(x_{12} - y_{12} - z_{12}\right) \, \mathbf{a}_{1}- \left(x_{12} - y_{12} + z_{12}\right) \, \mathbf{a}_{2}+\left(x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{3}$ = $a y_{12} \,\mathbf{\hat{x}}+a x_{12} \,\mathbf{\hat{y}}- a z_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{254}}$ = $- \left(x_{12} - y_{12} + z_{12}\right) \, \mathbf{a}_{1}+\left(x_{12} - y_{12} - z_{12}\right) \, \mathbf{a}_{2}- \left(x_{12} + y_{12} - z_{12}\right) \, \mathbf{a}_{3}$ = $- a y_{12} \,\mathbf{\hat{x}}- a x_{12} \,\mathbf{\hat{y}}- a z_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{255}}$ = $- \left(x_{12} + y_{12} - z_{12}\right) \, \mathbf{a}_{1}+\left(x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{2}- \left(x_{12} - y_{12} + z_{12}\right) \, \mathbf{a}_{3}$ = $a y_{12} \,\mathbf{\hat{x}}- a x_{12} \,\mathbf{\hat{y}}+a z_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{256}}$ = $\left(x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{1}- \left(x_{12} + y_{12} - z_{12}\right) \, \mathbf{a}_{2}+\left(x_{12} - y_{12} - z_{12}\right) \, \mathbf{a}_{3}$ = $- a y_{12} \,\mathbf{\hat{x}}+a x_{12} \,\mathbf{\hat{y}}+a z_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{257}}$ = $- \left(x_{12} + y_{12} - z_{12}\right) \, \mathbf{a}_{1}+\left(x_{12} - y_{12} - z_{12}\right) \, \mathbf{a}_{2}+\left(x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{3}$ = $a x_{12} \,\mathbf{\hat{x}}+a z_{12} \,\mathbf{\hat{y}}- a y_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{258}}$ = $\left(x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{1}- \left(x_{12} - y_{12} + z_{12}\right) \, \mathbf{a}_{2}- \left(x_{12} + y_{12} - z_{12}\right) \, \mathbf{a}_{3}$ = $- a x_{12} \,\mathbf{\hat{x}}+a z_{12} \,\mathbf{\hat{y}}+a y_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{259}}$ = $\left(x_{12} - y_{12} - z_{12}\right) \, \mathbf{a}_{1}- \left(x_{12} + y_{12} - z_{12}\right) \, \mathbf{a}_{2}- \left(x_{12} - y_{12} + z_{12}\right) \, \mathbf{a}_{3}$ = $- a x_{12} \,\mathbf{\hat{x}}- a z_{12} \,\mathbf{\hat{y}}- a y_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{260}}$ = $- \left(x_{12} - y_{12} + z_{12}\right) \, \mathbf{a}_{1}+\left(x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{2}+\left(x_{12} - y_{12} - z_{12}\right) \, \mathbf{a}_{3}$ = $a x_{12} \,\mathbf{\hat{x}}- a z_{12} \,\mathbf{\hat{y}}+a y_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{261}}$ = $- \left(x_{12} - y_{12} + z_{12}\right) \, \mathbf{a}_{1}- \left(x_{12} + y_{12} - z_{12}\right) \, \mathbf{a}_{2}+\left(x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{3}$ = $a z_{12} \,\mathbf{\hat{x}}+a y_{12} \,\mathbf{\hat{y}}- a x_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{262}}$ = $\left(x_{12} - y_{12} - z_{12}\right) \, \mathbf{a}_{1}+\left(x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{2}- \left(x_{12} + y_{12} - z_{12}\right) \, \mathbf{a}_{3}$ = $a z_{12} \,\mathbf{\hat{x}}- a y_{12} \,\mathbf{\hat{y}}+a x_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{263}}$ = $\left(x_{12} + y_{12} + z_{12}\right) \, \mathbf{a}_{1}+\left(x_{12} - y_{12} - z_{12}\right) \, \mathbf{a}_{2}- \left(x_{12} - y_{12} + z_{12}\right) \, \mathbf{a}_{3}$ = $- a z_{12} \,\mathbf{\hat{x}}+a y_{12} \,\mathbf{\hat{y}}+a x_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{264}}$ = $- \left(x_{12} + y_{12} - z_{12}\right) \, \mathbf{a}_{1}- \left(x_{12} - y_{12} + z_{12}\right) \, \mathbf{a}_{2}+\left(x_{12} - y_{12} - z_{12}\right) \, \mathbf{a}_{3}$ = $- a z_{12} \,\mathbf{\hat{x}}- a y_{12} \,\mathbf{\hat{y}}- a x_{12} \,\mathbf{\hat{z}}$ (96j) H III
$\mathbf{B_{265}}$ = $\left(- x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{1}+\left(x_{13} - y_{13} + z_{13}\right) \, \mathbf{a}_{2}+\left(x_{13} + y_{13} - z_{13}\right) \, \mathbf{a}_{3}$ = $a x_{13} \,\mathbf{\hat{x}}+a y_{13} \,\mathbf{\hat{y}}+a z_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{266}}$ = $\left(x_{13} - y_{13} + z_{13}\right) \, \mathbf{a}_{1}+\left(- x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{2}- \left(x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{3}$ = $- a x_{13} \,\mathbf{\hat{x}}- a y_{13} \,\mathbf{\hat{y}}+a z_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{267}}$ = $\left(x_{13} + y_{13} - z_{13}\right) \, \mathbf{a}_{1}- \left(x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{2}+\left(- x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{3}$ = $- a x_{13} \,\mathbf{\hat{x}}+a y_{13} \,\mathbf{\hat{y}}- a z_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{268}}$ = $- \left(x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{1}+\left(x_{13} + y_{13} - z_{13}\right) \, \mathbf{a}_{2}+\left(x_{13} - y_{13} + z_{13}\right) \, \mathbf{a}_{3}$ = $a x_{13} \,\mathbf{\hat{x}}- a y_{13} \,\mathbf{\hat{y}}- a z_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{269}}$ = $\left(x_{13} + y_{13} - z_{13}\right) \, \mathbf{a}_{1}+\left(- x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{2}+\left(x_{13} - y_{13} + z_{13}\right) \, \mathbf{a}_{3}$ = $a z_{13} \,\mathbf{\hat{x}}+a x_{13} \,\mathbf{\hat{y}}+a y_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{270}}$ = $- \left(x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{1}+\left(x_{13} - y_{13} + z_{13}\right) \, \mathbf{a}_{2}+\left(- x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{3}$ = $a z_{13} \,\mathbf{\hat{x}}- a x_{13} \,\mathbf{\hat{y}}- a y_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{271}}$ = $\left(- x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{1}+\left(x_{13} + y_{13} - z_{13}\right) \, \mathbf{a}_{2}- \left(x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{3}$ = $- a z_{13} \,\mathbf{\hat{x}}- a x_{13} \,\mathbf{\hat{y}}+a y_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{272}}$ = $\left(x_{13} - y_{13} + z_{13}\right) \, \mathbf{a}_{1}- \left(x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{2}+\left(x_{13} + y_{13} - z_{13}\right) \, \mathbf{a}_{3}$ = $- a z_{13} \,\mathbf{\hat{x}}+a x_{13} \,\mathbf{\hat{y}}- a y_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{273}}$ = $\left(x_{13} - y_{13} + z_{13}\right) \, \mathbf{a}_{1}+\left(x_{13} + y_{13} - z_{13}\right) \, \mathbf{a}_{2}+\left(- x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{3}$ = $a y_{13} \,\mathbf{\hat{x}}+a z_{13} \,\mathbf{\hat{y}}+a x_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{274}}$ = $\left(- x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{1}- \left(x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{2}+\left(x_{13} - y_{13} + z_{13}\right) \, \mathbf{a}_{3}$ = $- a y_{13} \,\mathbf{\hat{x}}+a z_{13} \,\mathbf{\hat{y}}- a x_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{275}}$ = $- \left(x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{1}+\left(- x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{2}+\left(x_{13} + y_{13} - z_{13}\right) \, \mathbf{a}_{3}$ = $a y_{13} \,\mathbf{\hat{x}}- a z_{13} \,\mathbf{\hat{y}}- a x_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{276}}$ = $\left(x_{13} + y_{13} - z_{13}\right) \, \mathbf{a}_{1}+\left(x_{13} - y_{13} + z_{13}\right) \, \mathbf{a}_{2}- \left(x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{3}$ = $- a y_{13} \,\mathbf{\hat{x}}- a z_{13} \,\mathbf{\hat{y}}+a x_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{277}}$ = $\left(x_{13} - y_{13} - z_{13}\right) \, \mathbf{a}_{1}- \left(x_{13} - y_{13} + z_{13}\right) \, \mathbf{a}_{2}+\left(x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{3}$ = $a y_{13} \,\mathbf{\hat{x}}+a x_{13} \,\mathbf{\hat{y}}- a z_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{278}}$ = $- \left(x_{13} - y_{13} + z_{13}\right) \, \mathbf{a}_{1}+\left(x_{13} - y_{13} - z_{13}\right) \, \mathbf{a}_{2}- \left(x_{13} + y_{13} - z_{13}\right) \, \mathbf{a}_{3}$ = $- a y_{13} \,\mathbf{\hat{x}}- a x_{13} \,\mathbf{\hat{y}}- a z_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{279}}$ = $- \left(x_{13} + y_{13} - z_{13}\right) \, \mathbf{a}_{1}+\left(x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{2}- \left(x_{13} - y_{13} + z_{13}\right) \, \mathbf{a}_{3}$ = $a y_{13} \,\mathbf{\hat{x}}- a x_{13} \,\mathbf{\hat{y}}+a z_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{280}}$ = $\left(x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{1}- \left(x_{13} + y_{13} - z_{13}\right) \, \mathbf{a}_{2}+\left(x_{13} - y_{13} - z_{13}\right) \, \mathbf{a}_{3}$ = $- a y_{13} \,\mathbf{\hat{x}}+a x_{13} \,\mathbf{\hat{y}}+a z_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{281}}$ = $- \left(x_{13} + y_{13} - z_{13}\right) \, \mathbf{a}_{1}+\left(x_{13} - y_{13} - z_{13}\right) \, \mathbf{a}_{2}+\left(x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{3}$ = $a x_{13} \,\mathbf{\hat{x}}+a z_{13} \,\mathbf{\hat{y}}- a y_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{282}}$ = $\left(x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{1}- \left(x_{13} - y_{13} + z_{13}\right) \, \mathbf{a}_{2}- \left(x_{13} + y_{13} - z_{13}\right) \, \mathbf{a}_{3}$ = $- a x_{13} \,\mathbf{\hat{x}}+a z_{13} \,\mathbf{\hat{y}}+a y_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{283}}$ = $\left(x_{13} - y_{13} - z_{13}\right) \, \mathbf{a}_{1}- \left(x_{13} + y_{13} - z_{13}\right) \, \mathbf{a}_{2}- \left(x_{13} - y_{13} + z_{13}\right) \, \mathbf{a}_{3}$ = $- a x_{13} \,\mathbf{\hat{x}}- a z_{13} \,\mathbf{\hat{y}}- a y_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{284}}$ = $- \left(x_{13} - y_{13} + z_{13}\right) \, \mathbf{a}_{1}+\left(x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{2}+\left(x_{13} - y_{13} - z_{13}\right) \, \mathbf{a}_{3}$ = $a x_{13} \,\mathbf{\hat{x}}- a z_{13} \,\mathbf{\hat{y}}+a y_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{285}}$ = $- \left(x_{13} - y_{13} + z_{13}\right) \, \mathbf{a}_{1}- \left(x_{13} + y_{13} - z_{13}\right) \, \mathbf{a}_{2}+\left(x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{3}$ = $a z_{13} \,\mathbf{\hat{x}}+a y_{13} \,\mathbf{\hat{y}}- a x_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{286}}$ = $\left(x_{13} - y_{13} - z_{13}\right) \, \mathbf{a}_{1}+\left(x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{2}- \left(x_{13} + y_{13} - z_{13}\right) \, \mathbf{a}_{3}$ = $a z_{13} \,\mathbf{\hat{x}}- a y_{13} \,\mathbf{\hat{y}}+a x_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{287}}$ = $\left(x_{13} + y_{13} + z_{13}\right) \, \mathbf{a}_{1}+\left(x_{13} - y_{13} - z_{13}\right) \, \mathbf{a}_{2}- \left(x_{13} - y_{13} + z_{13}\right) \, \mathbf{a}_{3}$ = $- a z_{13} \,\mathbf{\hat{x}}+a y_{13} \,\mathbf{\hat{y}}+a x_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{288}}$ = $- \left(x_{13} + y_{13} - z_{13}\right) \, \mathbf{a}_{1}- \left(x_{13} - y_{13} + z_{13}\right) \, \mathbf{a}_{2}+\left(x_{13} - y_{13} - z_{13}\right) \, \mathbf{a}_{3}$ = $- a z_{13} \,\mathbf{\hat{x}}- a y_{13} \,\mathbf{\hat{y}}- a x_{13} \,\mathbf{\hat{z}}$ (96j) H IV
$\mathbf{B_{289}}$ = $\left(- x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{1}+\left(x_{14} - y_{14} + z_{14}\right) \, \mathbf{a}_{2}+\left(x_{14} + y_{14} - z_{14}\right) \, \mathbf{a}_{3}$ = $a x_{14} \,\mathbf{\hat{x}}+a y_{14} \,\mathbf{\hat{y}}+a z_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{290}}$ = $\left(x_{14} - y_{14} + z_{14}\right) \, \mathbf{a}_{1}+\left(- x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{2}- \left(x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{3}$ = $- a x_{14} \,\mathbf{\hat{x}}- a y_{14} \,\mathbf{\hat{y}}+a z_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{291}}$ = $\left(x_{14} + y_{14} - z_{14}\right) \, \mathbf{a}_{1}- \left(x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{2}+\left(- x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{3}$ = $- a x_{14} \,\mathbf{\hat{x}}+a y_{14} \,\mathbf{\hat{y}}- a z_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{292}}$ = $- \left(x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{1}+\left(x_{14} + y_{14} - z_{14}\right) \, \mathbf{a}_{2}+\left(x_{14} - y_{14} + z_{14}\right) \, \mathbf{a}_{3}$ = $a x_{14} \,\mathbf{\hat{x}}- a y_{14} \,\mathbf{\hat{y}}- a z_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{293}}$ = $\left(x_{14} + y_{14} - z_{14}\right) \, \mathbf{a}_{1}+\left(- x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{2}+\left(x_{14} - y_{14} + z_{14}\right) \, \mathbf{a}_{3}$ = $a z_{14} \,\mathbf{\hat{x}}+a x_{14} \,\mathbf{\hat{y}}+a y_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{294}}$ = $- \left(x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{1}+\left(x_{14} - y_{14} + z_{14}\right) \, \mathbf{a}_{2}+\left(- x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{3}$ = $a z_{14} \,\mathbf{\hat{x}}- a x_{14} \,\mathbf{\hat{y}}- a y_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{295}}$ = $\left(- x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{1}+\left(x_{14} + y_{14} - z_{14}\right) \, \mathbf{a}_{2}- \left(x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{3}$ = $- a z_{14} \,\mathbf{\hat{x}}- a x_{14} \,\mathbf{\hat{y}}+a y_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{296}}$ = $\left(x_{14} - y_{14} + z_{14}\right) \, \mathbf{a}_{1}- \left(x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{2}+\left(x_{14} + y_{14} - z_{14}\right) \, \mathbf{a}_{3}$ = $- a z_{14} \,\mathbf{\hat{x}}+a x_{14} \,\mathbf{\hat{y}}- a y_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{297}}$ = $\left(x_{14} - y_{14} + z_{14}\right) \, \mathbf{a}_{1}+\left(x_{14} + y_{14} - z_{14}\right) \, \mathbf{a}_{2}+\left(- x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{3}$ = $a y_{14} \,\mathbf{\hat{x}}+a z_{14} \,\mathbf{\hat{y}}+a x_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{298}}$ = $\left(- x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{1}- \left(x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{2}+\left(x_{14} - y_{14} + z_{14}\right) \, \mathbf{a}_{3}$ = $- a y_{14} \,\mathbf{\hat{x}}+a z_{14} \,\mathbf{\hat{y}}- a x_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{299}}$ = $- \left(x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{1}+\left(- x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{2}+\left(x_{14} + y_{14} - z_{14}\right) \, \mathbf{a}_{3}$ = $a y_{14} \,\mathbf{\hat{x}}- a z_{14} \,\mathbf{\hat{y}}- a x_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{300}}$ = $\left(x_{14} + y_{14} - z_{14}\right) \, \mathbf{a}_{1}+\left(x_{14} - y_{14} + z_{14}\right) \, \mathbf{a}_{2}- \left(x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{3}$ = $- a y_{14} \,\mathbf{\hat{x}}- a z_{14} \,\mathbf{\hat{y}}+a x_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{301}}$ = $\left(x_{14} - y_{14} - z_{14}\right) \, \mathbf{a}_{1}- \left(x_{14} - y_{14} + z_{14}\right) \, \mathbf{a}_{2}+\left(x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{3}$ = $a y_{14} \,\mathbf{\hat{x}}+a x_{14} \,\mathbf{\hat{y}}- a z_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{302}}$ = $- \left(x_{14} - y_{14} + z_{14}\right) \, \mathbf{a}_{1}+\left(x_{14} - y_{14} - z_{14}\right) \, \mathbf{a}_{2}- \left(x_{14} + y_{14} - z_{14}\right) \, \mathbf{a}_{3}$ = $- a y_{14} \,\mathbf{\hat{x}}- a x_{14} \,\mathbf{\hat{y}}- a z_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{303}}$ = $- \left(x_{14} + y_{14} - z_{14}\right) \, \mathbf{a}_{1}+\left(x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{2}- \left(x_{14} - y_{14} + z_{14}\right) \, \mathbf{a}_{3}$ = $a y_{14} \,\mathbf{\hat{x}}- a x_{14} \,\mathbf{\hat{y}}+a z_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{304}}$ = $\left(x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{1}- \left(x_{14} + y_{14} - z_{14}\right) \, \mathbf{a}_{2}+\left(x_{14} - y_{14} - z_{14}\right) \, \mathbf{a}_{3}$ = $- a y_{14} \,\mathbf{\hat{x}}+a x_{14} \,\mathbf{\hat{y}}+a z_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{305}}$ = $- \left(x_{14} + y_{14} - z_{14}\right) \, \mathbf{a}_{1}+\left(x_{14} - y_{14} - z_{14}\right) \, \mathbf{a}_{2}+\left(x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{3}$ = $a x_{14} \,\mathbf{\hat{x}}+a z_{14} \,\mathbf{\hat{y}}- a y_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{306}}$ = $\left(x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{1}- \left(x_{14} - y_{14} + z_{14}\right) \, \mathbf{a}_{2}- \left(x_{14} + y_{14} - z_{14}\right) \, \mathbf{a}_{3}$ = $- a x_{14} \,\mathbf{\hat{x}}+a z_{14} \,\mathbf{\hat{y}}+a y_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{307}}$ = $\left(x_{14} - y_{14} - z_{14}\right) \, \mathbf{a}_{1}- \left(x_{14} + y_{14} - z_{14}\right) \, \mathbf{a}_{2}- \left(x_{14} - y_{14} + z_{14}\right) \, \mathbf{a}_{3}$ = $- a x_{14} \,\mathbf{\hat{x}}- a z_{14} \,\mathbf{\hat{y}}- a y_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{308}}$ = $- \left(x_{14} - y_{14} + z_{14}\right) \, \mathbf{a}_{1}+\left(x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{2}+\left(x_{14} - y_{14} - z_{14}\right) \, \mathbf{a}_{3}$ = $a x_{14} \,\mathbf{\hat{x}}- a z_{14} \,\mathbf{\hat{y}}+a y_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{309}}$ = $- \left(x_{14} - y_{14} + z_{14}\right) \, \mathbf{a}_{1}- \left(x_{14} + y_{14} - z_{14}\right) \, \mathbf{a}_{2}+\left(x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{3}$ = $a z_{14} \,\mathbf{\hat{x}}+a y_{14} \,\mathbf{\hat{y}}- a x_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{310}}$ = $\left(x_{14} - y_{14} - z_{14}\right) \, \mathbf{a}_{1}+\left(x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{2}- \left(x_{14} + y_{14} - z_{14}\right) \, \mathbf{a}_{3}$ = $a z_{14} \,\mathbf{\hat{x}}- a y_{14} \,\mathbf{\hat{y}}+a x_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{311}}$ = $\left(x_{14} + y_{14} + z_{14}\right) \, \mathbf{a}_{1}+\left(x_{14} - y_{14} - z_{14}\right) \, \mathbf{a}_{2}- \left(x_{14} - y_{14} + z_{14}\right) \, \mathbf{a}_{3}$ = $- a z_{14} \,\mathbf{\hat{x}}+a y_{14} \,\mathbf{\hat{y}}+a x_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{312}}$ = $- \left(x_{14} + y_{14} - z_{14}\right) \, \mathbf{a}_{1}- \left(x_{14} - y_{14} + z_{14}\right) \, \mathbf{a}_{2}+\left(x_{14} - y_{14} - z_{14}\right) \, \mathbf{a}_{3}$ = $- a z_{14} \,\mathbf{\hat{x}}- a y_{14} \,\mathbf{\hat{y}}- a x_{14} \,\mathbf{\hat{z}}$ (96j) O II
$\mathbf{B_{313}}$ = $\left(- x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{1}+\left(x_{15} - y_{15} + z_{15}\right) \, \mathbf{a}_{2}+\left(x_{15} + y_{15} - z_{15}\right) \, \mathbf{a}_{3}$ = $a x_{15} \,\mathbf{\hat{x}}+a y_{15} \,\mathbf{\hat{y}}+a z_{15} \,\mathbf{\hat{z}}$ (96j) O III
$\mathbf{B_{314}}$ = $\left(x_{15} - y_{15} + z_{15}\right) \, \mathbf{a}_{1}+\left(- x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{2}- \left(x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{3}$ = $- a x_{15} \,\mathbf{\hat{x}}- a y_{15} \,\mathbf{\hat{y}}+a z_{15} \,\mathbf{\hat{z}}$ (96j) O III
$\mathbf{B_{315}}$ = $\left(x_{15} + y_{15} - z_{15}\right) \, \mathbf{a}_{1}- \left(x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{2}+\left(- x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{3}$ = $- a x_{15} \,\mathbf{\hat{x}}+a y_{15} \,\mathbf{\hat{y}}- a z_{15} \,\mathbf{\hat{z}}$ (96j) O III
$\mathbf{B_{316}}$ = $- \left(x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{1}+\left(x_{15} + y_{15} - z_{15}\right) \, \mathbf{a}_{2}+\left(x_{15} - y_{15} + z_{15}\right) \, \mathbf{a}_{3}$ = $a x_{15} \,\mathbf{\hat{x}}- a y_{15} \,\mathbf{\hat{y}}- a z_{15} \,\mathbf{\hat{z}}$ (96j) O III
$\mathbf{B_{317}}$ = $\left(x_{15} + y_{15} - z_{15}\right) \, \mathbf{a}_{1}+\left(- x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{2}+\left(x_{15} - y_{15} + z_{15}\right) \, \mathbf{a}_{3}$ = $a z_{15} \,\mathbf{\hat{x}}+a x_{15} \,\mathbf{\hat{y}}+a y_{15} \,\mathbf{\hat{z}}$ (96j) O III
$\mathbf{B_{318}}$ = $- \left(x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{1}+\left(x_{15} - y_{15} + z_{15}\right) \, \mathbf{a}_{2}+\left(- x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{3}$ = $a z_{15} \,\mathbf{\hat{x}}- a x_{15} \,\mathbf{\hat{y}}- a y_{15} \,\mathbf{\hat{z}}$ (96j) O III
$\mathbf{B_{319}}$ = $\left(- x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{1}+\left(x_{15} + y_{15} - z_{15}\right) \, \mathbf{a}_{2}- \left(x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{3}$ = $- a z_{15} \,\mathbf{\hat{x}}- a x_{15} \,\mathbf{\hat{y}}+a y_{15} \,\mathbf{\hat{z}}$ (96j) O III
$\mathbf{B_{320}}$ = $\left(x_{15} - y_{15} + z_{15}\right) \, \mathbf{a}_{1}- \left(x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{2}+\left(x_{15} + y_{15} - z_{15}\right) \, \mathbf{a}_{3}$ = $- a z_{15} \,\mathbf{\hat{x}}+a x_{15} \,\mathbf{\hat{y}}- a y_{15} \,\mathbf{\hat{z}}$ (96j) O III
$\mathbf{B_{321}}$ = $\left(x_{15} - y_{15} + z_{15}\right) \, \mathbf{a}_{1}+\left(x_{15} + y_{15} - z_{15}\right) \, \mathbf{a}_{2}+\left(- x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{3}$ = $a y_{15} \,\mathbf{\hat{x}}+a z_{15} \,\mathbf{\hat{y}}+a x_{15} \,\mathbf{\hat{z}}$ (96j) O III
$\mathbf{B_{322}}$ = $\left(- x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{1}- \left(x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{2}+\left(x_{15} - y_{15} + z_{15}\right) \, \mathbf{a}_{3}$ = $- a y_{15} \,\mathbf{\hat{x}}+a z_{15} \,\mathbf{\hat{y}}- a x_{15} \,\mathbf{\hat{z}}$ (96j) O III
$\mathbf{B_{323}}$ = $- \left(x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{1}+\left(- x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{2}+\left(x_{15} + y_{15} - z_{15}\right) \, \mathbf{a}_{3}$ = $a y_{15} \,\mathbf{\hat{x}}- a z_{15} \,\mathbf{\hat{y}}- a x_{15} \,\mathbf{\hat{z}}$ (96j) O III
$\mathbf{B_{324}}$ = $\left(x_{15} + y_{15} - z_{15}\right) \, \mathbf{a}_{1}+\left(x_{15} - y_{15} + z_{15}\right) \, \mathbf{a}_{2}- \left(x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{3}$ = $- a y_{15} \,\mathbf{\hat{x}}- a z_{15} \,\mathbf{\hat{y}}+a x_{15} \,\mathbf{\hat{z}}$ (96j) O III
$\mathbf{B_{325}}$ = $\left(x_{15} - y_{15} - z_{15}\right) \, \mathbf{a}_{1}- \left(x_{15} - y_{15} + z_{15}\right) \, \mathbf{a}_{2}+\left(x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{3}$ = $a y_{15} \,\mathbf{\hat{x}}+a x_{15} \,\mathbf{\hat{y}}- a z_{15} \,\mathbf{\hat{z}}$ (96j) O III
$\mathbf{B_{326}}$ = $- \left(x_{15} - y_{15} + z_{15}\right) \, \mathbf{a}_{1}+\left(x_{15} - y_{15} - z_{15}\right) \, \mathbf{a}_{2}- \left(x_{15} + y_{15} - z_{15}\right) \, \mathbf{a}_{3}$ = $- a y_{15} \,\mathbf{\hat{x}}- a x_{15} \,\mathbf{\hat{y}}- a z_{15} \,\mathbf{\hat{z}}$ (96j) O III
$\mathbf{B_{327}}$ = $- \left(x_{15} + y_{15} - z_{15}\right) \, \mathbf{a}_{1}+\left(x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{2}- \left(x_{15} - y_{15} + z_{15}\right) \, \mathbf{a}_{3}$ = $a y_{15} \,\mathbf{\hat{x}}- a x_{15} \,\mathbf{\hat{y}}+a z_{15} \,\mathbf{\hat{z}}$ (96j) O III
$\mathbf{B_{328}}$ = $\left(x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{1}- \left(x_{15} + y_{15} - z_{15}\right) \, \mathbf{a}_{2}+\left(x_{15} - y_{15} - z_{15}\right) \, \mathbf{a}_{3}$ = $- a y_{15} \,\mathbf{\hat{x}}+a x_{15} \,\mathbf{\hat{y}}+a z_{15} \,\mathbf{\hat{z}}$ (96j) O III
$\mathbf{B_{329}}$ = $- \left(x_{15} + y_{15} - z_{15}\right) \, \mathbf{a}_{1}+\left(x_{15} - y_{15} - z_{15}\right) \, \mathbf{a}_{2}+\left(x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{3}$ = $a x_{15} \,\mathbf{\hat{x}}+a z_{15} \,\mathbf{\hat{y}}- a y_{15} \,\mathbf{\hat{z}}$ (96j) O III
$\mathbf{B_{330}}$ = $\left(x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{1}- \left(x_{15} - y_{15} + z_{15}\right) \, \mathbf{a}_{2}- \left(x_{15} + y_{15} - z_{15}\right) \, \mathbf{a}_{3}$ = $- a x_{15} \,\mathbf{\hat{x}}+a z_{15} \,\mathbf{\hat{y}}+a y_{15} \,\mathbf{\hat{z}}$ (96j) O III
$\mathbf{B_{331}}$ = $\left(x_{15} - y_{15} - z_{15}\right) \, \mathbf{a}_{1}- \left(x_{15} + y_{15} - z_{15}\right) \, \mathbf{a}_{2}- \left(x_{15} - y_{15} + z_{15}\right) \, \mathbf{a}_{3}$ = $- a x_{15} \,\mathbf{\hat{x}}- a z_{15} \,\mathbf{\hat{y}}- a y_{15} \,\mathbf{\hat{z}}$ (96j) O III
$\mathbf{B_{332}}$ = $- \left(x_{15} - y_{15} + z_{15}\right) \, \mathbf{a}_{1}+\left(x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{2}+\left(x_{15} - y_{15} - z_{15}\right) \, \mathbf{a}_{3}$ = $a x_{15} \,\mathbf{\hat{x}}- a z_{15} \,\mathbf{\hat{y}}+a y_{15} \,\mathbf{\hat{z}}$ (96j) O III
$\mathbf{B_{333}}$ = $- \left(x_{15} - y_{15} + z_{15}\right) \, \mathbf{a}_{1}- \left(x_{15} + y_{15} - z_{15}\right) \, \mathbf{a}_{2}+\left(x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{3}$ = $a z_{15} \,\mathbf{\hat{x}}+a y_{15} \,\mathbf{\hat{y}}- a x_{15} \,\mathbf{\hat{z}}$ (96j) O III
$\mathbf{B_{334}}$ = $\left(x_{15} - y_{15} - z_{15}\right) \, \mathbf{a}_{1}+\left(x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{2}- \left(x_{15} + y_{15} - z_{15}\right) \, \mathbf{a}_{3}$ = $a z_{15} \,\mathbf{\hat{x}}- a y_{15} \,\mathbf{\hat{y}}+a x_{15} \,\mathbf{\hat{z}}$ (96j) O III
$\mathbf{B_{335}}$ = $\left(x_{15} + y_{15} + z_{15}\right) \, \mathbf{a}_{1}+\left(x_{15} - y_{15} - z_{15}\right) \, \mathbf{a}_{2}- \left(x_{15} - y_{15} + z_{15}\right) \, \mathbf{a}_{3}$ = $- a z_{15} \,\mathbf{\hat{x}}+a y_{15} \,\mathbf{\hat{y}}+a x_{15} \,\mathbf{\hat{z}}$ (96j) O III
$\mathbf{B_{336}}$ = $- \left(x_{15} + y_{15} - z_{15}\right) \, \mathbf{a}_{1}- \left(x_{15} - y_{15} + z_{15}\right) \, \mathbf{a}_{2}+\left(x_{15} - y_{15} - z_{15}\right) \, \mathbf{a}_{3}$ = $- a z_{15} \,\mathbf{\hat{x}}- a y_{15} \,\mathbf{\hat{y}}- a x_{15} \,\mathbf{\hat{z}}$ (96j) O III

References

  • X.-S. Wang, S. Ma, D. Yuan, J. W. Yoon, Y. K. Hwang, J.-S. Chang, X. Wang, M. R. Jørgensen, Y.-S. Chen, and H.-C. Zhou, A Large-Surface-Area Boracite-Network-Topology Porous MOF Constructed from a Conjugated Ligand Exhibiting a High Hydrogen Uptake Capacity, Inorg. Chem. 48, 7519–7521 (2009), doi:10.1021/ic901073w.

Found in

  • F. Hoffmann, The Fascination of Crystals and Symmetry (2015). 230 – The Space Group List Project.

Prototype Generator

aflow --proto=A14BC8D5_cF1344_209_7j_g_4j_g2j --params=$a,y_{1},y_{2},x_{3},y_{3},z_{3},x_{4},y_{4},z_{4},x_{5},y_{5},z_{5},x_{6},y_{6},z_{6},x_{7},y_{7},z_{7},x_{8},y_{8},z_{8},x_{9},y_{9},z_{9},x_{10},y_{10},z_{10},x_{11},y_{11},z_{11},x_{12},y_{12},z_{12},x_{13},y_{13},z_{13},x_{14},y_{14},z_{14},x_{15},y_{15},z_{15}$

Species:

Running:

Output: