_{This puzzle is a part of the Monthly Topic Challenge #4: Cross-*non*-words}

I’ve already received two crosswords for the problem.
Recently, the fraternities, the sororities and I labored collectively to make a 3rd crossword in reminiscence of their naming conference.

Solve every cryptic clue, then transliterate the answer phrases into one other language. Fill within the transliterated phrases within the correct place within the grid. The letter in parentheses would describe my fortunate quantity^{[citation needed]}.

The three “hidden” clues are to be solved with the assistance of the language’s historical past.

Notes to the grid: The “order of magnitude” is omitted within the grid. The 2 on the second line is meant to have a 9 overlapping it in the identical cell, thus the digits from 1 to 9 would every seem precisely 3 times within the grid – as soon as for “x10⁰” group, as soon as for “x10¹” group, and as soon as for “x10²” group.
The picture model shouldn’t be but out there.

# # # # # # # # # # # # # # # # # # 6 
# # # # # # # # # # # # # # 2 . 4 . . 
# # # # # # # # # # # # # # . # . # # 
# # # # # # # # # # # # # # . # # # # 
# # # # # # # # # # # # 7 # . # # # # 
# # # # # # # # # # # # 8 . . # # # # 
# # # # # # # # # 2 # # . # # # # # # 
# # # # 4 # # # # 1 . 5 . # # # # # # 
# # # # . # 3 # # . # . # # # # # # # 
# # # # . # . # # 8 . # # # # # # # # 
# # # # 3 . . . 6 . # # 5 # # # # # # 
# # # # . # . # . # # # 7 . # # # # # 
# # # # . # . # . # # 6 . # # # # # # 
# # # # # # # # . # # # . # # # # # # 
# # # # # 8 # 7 . . 9 . . . # # # # # 
# # # # # . # # . # . # . # # # # # # 
# # # # 4 . . . . #(.)# # # # # # # # 
# # # 9 # . # # # # . # # # # # # # # 
# # 2 . . . # # # # . # # # # # # # # 
# 1 # . # # # # # # # # # # # # # # # 
1 . 3 . # # # # # # # # # # # # # # # 
# # . # # # # # # # # # # # # # # # # 
# 5 . # # # # # # # # # # # # # # # # 

Group 1 (x 10⁰)

1. Testing model mixing up asphalt (eliminated – st)
2. Guess a public testing model
3. Light particle begin guessing earlier than midday, forth and again
4. Triangle seems with the dot, high of the asymptote
5. Quantum particle and small particle lengthy earlier than ending
6. (Unknown)
7. Organize Tale hiding particular operate
8. Efficiency of labor describes once they may attain the aim
9. The volunteers’s any angle

Group 2 (x10¹)

1. Unfinished observe: Thank you a bit
2. Sportswear coefficient
3. Animal lawyer wavelength
4. Maximum excessive voltage is one in 1,000,000
5. Unusually hidden radio frequency
6. Random variable of president who just lately expanded this sequence [Down]
7. Zero-length unit virus: latest discovery
8. Euler’s fixed reversing mental property
9. (Unknown)

Group 3 (x10²)

1. Take dangerous woman’s density
2. Sum disgrace minus time
3. Twice Euler’s fixed is half of zodiac signal
4. Up is inverted left on meson
5. Part of philosophy’s golden ratio
6. Communist chief does not end one take a look at of statistics [Across]
7. Corrupted ISP particle
8. Any angle over time in some recreation
9. (Unknown)

Task 1: As you’ll be able to guess…

The foremost job is to resolve the crossword.
It is beneficial that you simply use lowercase letters within the grid in order that the crossword may be certified for the problem.
All diacritics, besides the acute accent^{[citation needed]}, are ignored.

Task 2: (non-obligatory)

Try to make one other crossword grid utilizing these 27 phrases you wrote in my grid, in order that if a clean model of your grid (with out clue numbers) and a listing of the 27 phrases are given, one can discover a distinctive methodology to find every phrase in your grid, just like this.
Is it really potential?

Hint 1:

The “order of magnitude” is said to the outdated numerals within the language.