Sorry, no online dictionaries contain the exact phrase perfect digit to digit invariants.

Reverse dictionary results:
1. hilbert
 2. invariance
3. reciprocity
4. changing
5. nine
6. ten
7. six
8. absolute
9. angel
10. aplomb
 11. break
12. complement
13. delicate
14. disfigure
15. edit
16. eminent
17. fabulous
18. fines
19. full
20. good
 21. half
22. heavenly
23. hit
24. hone
25. idealism
26. imperfection
27. infinite
28. just
29. marvelous
30. master
 31. mature
32. mellow
33. mint
34. nice
35. optimum
36. pae
37. par
38. perfected
39. perfecting
40. perfectionism

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