test.py

from math import tan, floor

def f5(element):
    assert len(element) % 2 == 0
    for idx in range(0 ,len(element), 2):
        sub = element[idx:idx+2].lower()
        v1 = ord(sub[0]) - ord('a') + 1
        v2 = ord(sub[1]) - ord('a') + 1
        if 8 - floor(tan(v1 * v2)) < 0:
            print v1 * v2, "bad"
            assert False
    print element
    for idx in range(0 ,len(element), 2):
        sub = element[idx:idx+2].lower()
        v1 = ord(sub[0]) - ord('a') + 1
        v2 = ord(sub[1]) - ord('a') + 1
        print 8 - floor(tan(v1 * v2))


elements = """Helium 
Lithium 
Beryllium 
Boron 
Carbon 
Nitrogen 
Oxygen 
Fluorine 
Neon 
Sodium 
Magnesium 
Aluminium 
Silicon 
Phosphorus 
Sulfur 
Chlorine 
Argon 
Potassium 
Calcium 
Scandium 
Titanium 
Vanadium 
Chromium 
Manganese 
Iron 
Cobalt 
Nickel 
Copper 
Zinc 
Gallium 
Germanium 
Arsenic 
Selenium 
Bromine 
Krypton 
Rubidium 
Strontium 
Yttrium 
Zirconium 
Niobium 
Molybdenum 
Technetium 
Ruthenium 
Rhodium 
Palladium 
Silver 
Cadmium 
Indium 
Tin 
Antimony 
Tellurium 
Iodine 
Xenon 
Caesium 
Barium 
Lanthanum 
Cerium 
Praseodymium 
Neodymium 
Promethium 
Samarium 
Europium 
Gadolinium 
Terbium 
Dysprosium 
Holmium 
Erbium 
Thulium 
Ytterbium 
Lutetium 
Hafnium 
Tantalum 
Tungsten 
Rhenium 
Osmium 
Iridium 
Platinum 
Gold 
Mercury 
Thallium 
Lead 
Bismuth 
Polonium 
Astatine 
Radon 
Francium 
Radium 
Actinium 
Thorium 
Protactinium 
Uranium 
Neptunium 
Plutonium 
Americium 
Curium 
Berkelium 
Californium 
Einsteinium 
Fermium 
Mendelevium 
Nobelium 
Lawrencium 
Rutherfordium 
Dubnium 
Seaborgium 
Bohrium 
Hassium 
Meitnerium 
Darmstadtium 
Roentgenium 
Copernicium 
Ununtrium 
Flerovium 
Ununpentium 
Livermorium 
Ununseptium 
Ununoctium"""

for element in elements.split('\n'):
    try:
        f5(element.strip())
    except:
        pass