184 
THEORIA RESIDUORUM BIQUADRATICORUM. 
Modulus. 
Character. 
Numeri. 
+ 3 + 10» 
1 
1 —}— /, — 1 — 2 i, 1 — 4 / 
2 
— 3, 3 —J— 2 /, 1 —J— 4 /, — 5 — 2 4 
3 
— 1 —1— 2 /, 3 — 2 / 
— 7 + 8'/ 
0 
1 + *, —7 
1 
3 + 2/, 3 — 2/, 1—4/, —5 — 2/ 
2 
— 1 — 2/, 1+4/, —5 + 2/, —1 — 6/ 
3 
— 1 —■[—■ 2 /, — 3, — 1 —j— 6 / 
— 11 
0 
— 3 
1 
1 —j— /, 3 — 2 /, 1 —J— 4 /, — 5 —j— 2 /, 5 —|— 4 z 
2 
— 1 + 2/, —1—2/ 
3 
3 + 2i, 1 — 4», —5 — 2«, 5 — 4«' 
— 11+4/ 
0 
1 +/, —1+2/, 3 + 2/, 5 + 4/ 
1 
— 1 — 2/, —1+6/ 
2 
— 5 + 2 / 
3 
— 3, 3 — 2/, 1 + 4/, 1 — 4/, —5 — 2/ 
+ 7 + 10/ 
0 
1 + 4/, 1 — 4/, —1 + 6/, —1—6/ 
1 
— 1 —j— 2 /, 3 —)— 2 /, — 5 —|— 2 / 
2 
1 +/, 3 — 2/ 
. 
3 
— 1 — 2/, —3, —5 — 2/ 
+ 11+6/ 
0 
1 —{— /, — 1 —j— 2 /, —- 3, 1 —j— 4 /, 1 — 4 /, — 
1 
— 1 — 2 /, 3 + 2 /, 3 — 2 / 
2 
— 5 — 2/, —1 + 6/, 5 — 4/ 
3 
— 5 + 2«, 5 + 4«, 7-2«. 
63. 
Operam nunc dabimus, ut criteria communia modulorum, pro quibus nu 
merus primus datus characterem eundem habet, per inductionem detegamus. Mo 
dulos semper supponimus primarios inter associatos, puta tales a-\-bi, pro qui 
bus vel a = 1, b = 0, vel a ee 3, b e= 2 (mod. 4). 
Respectu numeri 1 -j- /, a quo initium facimus, inductionis lex facilius ar 
ripitur , si modulos prioris generis (pro quibus a = 1, b = 0) a modulis poste 
rioris generis (pro quibus a= 3, b = 2) separamus. Adiumento tabulae art. praec. 
invenimus respondere