vertices: 86

faces: 72+1

edges: 159

genus: 1

characteristic polynomial: x²⁴ (-270848 + 2736704x² - ... - 56x²⁴ + x²⁶) (4356233216 - 50968580096x² + ... - 103x³⁴ + x³⁶)

dual's characteristic polynomial: x (2 + x)¹⁸ (-1 + 9x + 127x² - ... - 13x²² + x²³) (-448 - 1624x + ... - 23x²⁹ + x³⁰)

chromatic number: 4

lattice group (using the double, lossy version): Z(2) × A(434)

(labels pointing towards holes fixed during flip): Z(2) × A(288)

(treating the hole as a normal face): Z(2) × A(159) 2