On the Subject of Complex-Resistance

I'm so lost...

• Initially, the module will show a complex number. Note down this number and press the status light.
• Your friend lost themselves. Help them by guiding them through.

• Convert the number into base-(1+i). The digits are:
  • 0, noted as 0 and could be inputted via center button;
  • +1, noted as + and could be inputted via right button;
  • -1, noted as - and could be inputted via left button;
  • +i, noted as i and could be inputted via up button;
  • -i, noted as ! and could be inputted via down button.
• Input will be from least to most significant digits.
• Red button undoes last input.
• Green button submits the input.

Here's the table of powers to help you:

Power	Number	Power	Number	Power	Number
0	1 + 0i	5	-4 - 4i	10	0 + 32i
1	1 + 1i	6	0 - 8i	11	-32 + 32i
2	0 + 2i	7	8 - 8i	12	-64 + 0i
3	-2 + 2i	8	16 + 0i	13	-64 - 64i
4	-4 + 0i	9	16 + 16i	14	0 - 128i