Sure, here are the sentences rewritten with inversion:

114. Never was the outcome of the election in doubt.

116. Only by training hard every day can you become a good athlete.

119. Hard though he tried, he couldn't open the door.

121. No sooner had the couple arrived than the priest started the ceremony.

124. Rarely did the artist pay any attention to his agent's advice.

126. We must take a taxi, or late will we be.

127. Only after you have graduated will you be able to get a job.

128. Not until her friends told me did I know she had been well-known.

129. Only with the bank's loan could he have bought the car.

131. On the table lay the books.

132. Only by experiencing can we get experience.