II, 17, 19, 23, 25, 3i, 37, 4r
1165-4-1, 3, 5, 9, II, i3, i5, 19, 25, 27, 3i, 33, 39, 43, 45, 47, 53, 55, 57, 65, 75, 79, 81, 93, 95, 99, Î09.
1205 -M, II, i3, 17, 23, 29, 3i, 37, 43, 47, 49, 59, 67, 79, 101,
ii3.
1245 -4- I, 5, 7, 9, 19, 25, 33, 35, 39, 4i, 45, 47, 49, 5i, 59, 63, 67, 71, 81, 87, 95, 97, loi, io3, 107, 109, III, ii3, 121.
I325-4-I, 7, 17, 19, 23, 25, 29, 37, 41, 43, 47, 49, 59, 65, 71, 79, loi, 119, 127.
i365 -4- I, 5, 7, 9, 19, 23, 25, 29, 3i, 33. 35, 37, 39, 43, 45, 49, 59, 63, 67, 71, 79, 81, 83, 89, 95, 109, ii5, 121, 123, 125, i33.
1405-4-1, 3,9, II, i3, 17, 27, 29, 33, 39, 47» 5i, 71, 73, 79, 81, 83, 97» 99» ïo3, 109, 117, 121.
TABLE III
'^^'"'^h h ''«?'^'^^'7. V ?\'\^7. 29. 37, 39, 47, 49, ^h 53, 55, 59, bi 67, 69, 73, 70, 81, 87,91, 107, 109, m, 117, 119, 121, 137, i4i, 147.
ibSz
■» 3, 5, 7, 9, 11, i5, 19, ai, a5, 27, 33, 35, 37, 45, 47, 49, 55. 57, 61, ()3, 67, 71, y.i, 75, 77 79, 81, 95, 99, io5, iii,ii3. 121, I2J, i33, i35, l'ji, 147, 131. '
3, 17, 33, 25, 29, 3i, 4i, 43, 53, 55, 59, 61, 67, 71, 83, 89, 1 95, io3, 121, i3i, i49, 159, i(>3.
, 9, II, i3, i5, 17, 21, 23, 25, 3i, 35, 4i, 47. 49, 53, 57, 59. 1 ^7» 79' ^>» 83, 87, 95, 97, 99, loi, io3, 107, 109, m, 117, 121, 127, i33, i35, 139, 143, i'|5, i53, i65, 167, 169.
, 5, 9, II, 19, 21, 25, 3i, 37, 39, 4i, 43, 45, 47, 49, 5i, 53, DO, 61, 67, 71, 73, 81, 83, 87, 91, 95, 99, io5, 107, 109, 119, 121, 125, 127, 149, i5i, i55, 157, 167, 1B9, 171, 177, 181.
22Hz •
, 9, i5, 19, 21, 23, 25, 3i, 33, 35, 39, 4i, 43, 49, 5i, 53, 55, ' >9, 65 73, 77, 79, 81, 85, 87, 91, lOf, io3, 119, 121, i3i, i3S, i
, 5. Il, 25, 41, 43 47 49, 55, 59, 61, 71, 79.83,89, io3. 19, 121, 125, 127, i33, 137, i39, 149.
., 3, 7, 9, 17, 21, 25, 27, 37, 49, 5i, 53, 55, 59,61, 63, 65, < |ï» 7^, 879, 81,8), 89, 95, y7, 101, io3, III, ii5, 119, 121, i3i, I 43, 145, 147, 149, i53, i5o, 107, i59, i65, 169, 173', 175,177
:, 5, II, i3, 19, 23, 25, 29, '|i, 43, '49, 55. 65, 67, 71, o5, io3, 07, ii3, ii5, 121, 125, 127, i3i, i'|3, 145, i5i, 157, 167, 169,
, 3, 9, i3, 17, 19, 23, 25, 2*7, 29, 3i, 35. 37, 39, 49» 5i, 55. 7» ^7» 69, 71, 75, 77, 79, 81, 83, H^, 89, q3, q^, io3, io5, m. i3, 117, 121, 127, 139, 147, i49t »3»» i53, io5, 167, 109, 171, j
1, 11, 23, 25, 29, 3i, 35, 'ji, 47, 49i 53, 61, 65, 67, 73, 79, 83' 85, 89, 91, io3, ii3, 119, 121, 127, i3i, i5i, 157, 169, 173, i85'
, 9, i5, 21, 25, 3 1, 33, 35, 37, 39, 47> 49i 5i, 55, 57, Sg, 61, )5, 67, 69, 77, 79, 81, 83, 85, Qi, q5, 101, 107, ii5, 119, 121, 23, 137, 129, i33, i35, i3q, i ',3, 157, i5(,, 161, 169, 179, 187.
Il fi'\ «^1 "'^ "^rx J^ I W» K— f\'\ n\^ tt-k" » irv il» w>1 «oî
♦ ^' -J-) h y»^*''» '/' »y'-"i ^^1 ^7» •'y* ^^y ^'> 4^ ^y, •^'» •'*'' 7, 63, 71, 75, 79, 81, 83, 87, 95, i()5, 107, 119, 121, 123, nS, 27, i33, i35, 137, i3û, 143, 143, 147, i5i, 109, i63, 167, 169, 71, 175, i8r, 189, 193, 197, 199, 2o3, 2o5, 2i3, 223, 225.
FACTEURS IMPAIRS DES FORMES QUADRATIQUES ^-'-l-Dj*. SgS
24'|5 4- I, 5, 7, 9, II, i3, 23, a5, 3i, 35, l\\, ^3, 4^> 49^ ^»» ^5, 67, 59, 63, 65', 67, 71, 73, 77, 79, 81, 87, 91, 97, t)9î »/5»» III, ii3, ii5, 117, 121, rj5, i37, i39, i4i, i43, i49ï '^»» ï'^^* *^9> *^'^ 169, 17.5, 191, 197, 2oa, 207, 211, 217,223, 225, 227, 22j, 241.
2485 -4- I, 3, 7, 9, II, i3, 21, 25, 37, 29, 33, 37, 39, 4i, 43, 47, 49, 53, 61, 63, 71, 75, 77, 81, 83, 85, 87, 91, 95, 97, ()9, io3, m, ii3, •ii5, 117, 121, 123, 129, i39, i4i, i^|3, i47, 109, i6f), 1-5,179, 181, i83, 189, 191, 193, 197, 2o3, 2i3, 22J, 229, 23i, 233, 243.
260Z-+- 1, 3, 9, II, 19, 23, 27, 29, 3i, 33, 37, 43, 4o, 57, 59, 61, 69, 71, 73, 81, 87, 93, 97, 99, loi, io3, 107, III, 119, 121, 127, 129, 137, 147, i5i, 171, 177, 181, i83, 193, 197, 207, 209, 2i3, 219, 239, 7.\S^ 233.
264s -f-i, 5, 7, i3, 17, 23, 23, 33, 4i, 47, 4n, 53, 61. 63, 67, 77, 79, 83, 8j, 91, 97, loj, toi), ii3, 119, 125, 127, i3i. i5i, 161, 16.J, 169, 173, 191, 20J, 221, 227, 233, 235, 245.
2685-4- I, 9, i5, 17, 19, 21, 23, 23, 29, 33, 33, 37, 39, 4?» 49» ^''» ^"^^ 65, 71, 73, ^7, 81, 83, 89, 91, 93, io3, 107, 121, 123, 127, 129, i3i, r33, 143, «4<>» »^'» 1^3» i55, 157, i39, i63, 167, 169, 171, 173, 181, i83, i8(), 1^3, ii)9, 2o3, 20J, 211, 2i5, 217, 223, 225, 227, 237, '}.\\y »33, 2J7, 2ifji, 263, 26j.
1,5, 7, i3, 17, 19, 25, 35, 43, 47, 49, 53, 5i), 63, 67, 71,73, 79. 85, 89, 91,95, io3, ii3, 119, 121, 125, i3i, i33, i3^, i49' 167, 169, 175, 179, 193, 199, 2i5, 221, 233, 239, 243, 247,265.
».9. >7' «9, 33,37, 39, 43, '17, 53, 39, 61,67, 69 ;i,;3, 79, 81. 87, 93, 97, 101, io3, 107, 121, 123, i3i, i39, 143, loi, i53, i63, 167, i(k), 171, 181, T91, 197, 223, 229, 23^, 249, 25i,?33,
- I, 3, 3, 9, i3, 19, 25, 27, 29, 37, 43, 45, 49, 57, 73, 75, 77, 79, 81, 83, 87, 89 91. 95, loi, io3, 107, 109, III, 119, 121, 125, 129, i3i, i33, 1^3, 145, 147, i5i, 157, 161, 167, 169, 171, 179, i8j, 187, iqi, 199, 2i5, 217, 219, 221, 223, 22a, 229, 23l, 233, 237, 24^, 243, 2 {9, 25 1, 23i, 261, 263, 267, 271, 273, 277.
-1, 7, 9, II, 10, 23, 3i, 37, 39, 4'i4-^, 4/» 49» 5i, 57, 09, 61, 63, 6j, 6y, 77, 81, 83, 8j, 87, 89, 93, 97, 99, io3, loo, loy, 109, ii5, 121, i3i, i35, 137, i39, 145, 149. i5i, 159, i63, i65,
296s H- f, 3, 5, 9, II, i3, i3, 23, 23, 27, 29, 3i, 33, 39, 4»> 4^» 49» 55, 61, 65', 67, 69, 73, 75, 79, 81, 83, 8^; 89, 93, 99, io3, 10-, 109, ii5, 117, 119, 121, 123, 125, i33, i3j, 137, i39, i43, i45, i47» i55, 165, 167, 169, i83, 191, 195, 199, 201, 2o5, 207, 211, 219, 223, 233, 23;, 239, 2'|3, 243, 2^9, il^i, 261, 275, 277, 279, 289.
3o82 H- I, 3, 9, i3, 17, 23, 27, 3i, 37, 39, 41, 43, f\n 5i, 53, 59, 61, 73, 75, 79, 81, 93, 95, loi, io3, 107, III, ii3, ii5, 117, iiQ, 123, 127, 129, 137, 141, 143, 145, i5i, i53, 169, 173, 177, i83, 199, 211, 219, 221, 223, 225, 239, 241, 243, 25i, 263, 279, 283, 289, 293, 297, 3o3.
TABLE III
3ia5 4-i, 19, 20, 29, 35, 37, 41,47, 49, 53, 55, 67, 71, 77» 79» ^^t ^» 101, io3, 107, 109, ii5, 119, 121, 127, i3i, i3t, i35, 161, i63, 167, 17.3, 179, i8j, 199, 2i5, 217, 229, 239, a5i, 253, 269,281,
289, 295, ?oi, 3oa, 307.
3i6^ + I, 5, 9, II, i3, 19, 21, 23, 25, 3i, 4'^» 4q» ^*i 5^î ^-^1 67» 7^» 81 , 83, 87, 89, 95, 9y, 99, 101, io5, m, 11 5, 117, 119, 121, i23, 125, 129, i3i, i4i, 143, i5i, i55, 159, i63, 167, 169, i-i, 173, '77j '79î *^*» '*^3, 189, 2o3, 207, 209, 2i3, 223, 225, 23i, 239, 241, 2^|5, 247, 253, 255, 257, iriQj 263, 269, 273, 275, 277, 279, 281, 283, 287, 289, 3o!, 309, 3i^.
69» 7»» 7^, 79» ^^y 83, 85, 91,93, û5, ioi, io5, 107, 109, m, ii3, ii5, 117, 121, i3i, i35, 139, i4i9, i5i, i55, i5-, i63, i6t, 169, 175, 181, i83, i85, 187, 191, 190, i^, 201, 20J, 209, 223, 229, 23i, 239, 241, 25i, 25j, 261, 2(i3, 267, a83, 289, 291, 293, 297, 3oi, 3o5, 307, 309, 3ii, 3i7, 323, 325.
3325 -H 1, 3, 7, 9, II, 17, 21, 23, 25, 27, 29, 3i, 33, 37, 4i» 49» ^*' 59, 61, 63, 65, 69, j5, 77, 81, 87, 93, 95, 99, 109, m, ii3, 119, 121, 123, 127, i3i, 147, i5i, i53, 161, 167, 169, 173, 175, 17*7, i83, 187, 189, 191, 193, 195, 197, 199, 2o3, 207, 2i5, 21- 220, 227, 229, 23i, 235, 241, 243, 247, 253, 259, 261, 265, 275, 277» 279, 28.), 287, 289, 293, 297, 3i3, 3i7, 3i9, 327.
3405 -h i, 9, II, 21, 3i, 37, 39, 43, 47, 49, 57, 67, 6q, 71,73, 79, 81, 83, 87, 89, 91, 97, 99, IOI, io3, ii3, 121, 125, 127, i3i, i33, 139, i4o,i59, 161, i6q, 1-3, inr, i83, 189, iq3, 197, 199, 2oi, 211, 323, 229, 23i,233, 2^7, 263, 277, 279, 281,287, 299, 307, 3ii, 3i3, 317, 321, 327, 3:53, 337.
-I, 3, 5, 9, i5, 17, 19, 23, 25, 27, 29, 31,37, 4«« 4^j 47 51,57, 61,69, 75, 77, 79, 81,85, 80, 91,93, q5, 07, io3, ii5, 121, 123, 125, 127, i3i, i35, ifi, 143, 145, 147» i49f i55, 157, i63, 167, 169, lyi, 1^9, i83, i85, it|3, 2o5, 207, 225, 227, 23i, 235, 23/, 23j), 243, 245, 255, 261, 271, 273, 279, 281, 285, 289, 291, 3oo, 309, 3i i, 323, 33i, 33^, 337.
348Z-+-1, 7, II, i3, 17, 25,41,47, 49, 67,^7,85,91,55, loi, io3, ii3, ii5, 119, 121, i3i, 1^7, i39, i43, i5i, i53, 169, 175, i85, 187, 191, 199, 2i5, 221; 223, 241, 25i, 263, ?65, 209,
277, 383, 287, 289, 393, 295, 3o5, 3ii, 3i3, 317, 325, 329, 343.
- 1, ô, o, 7, 9, i5, 17, 19, 21, 2.1, 25, 27, il, dD, f^6, 43, 49, 5i, 53, 57, 59, 63, 69, 73, 75, 81, 83, 85, 93, 95, 07, io3, io5, 109, ii5, 119, lai, 125, 137, 129, i33, i35, 143, i47, i5i, i53 i55, i5t, 159, 161, i63, 169, 171, 1-3, 1-5, 1-7, i^, 191,207, 211, 2i5, 217, 219, 225, 233, 239, 2^3, 245, 249, 25j, 207, 260, 269, 217, 279, 285, 289, 291, 295, 3oi, 309, 3i5, 317, 319, 323, 327,
FACTEURS IMPAIRS DES FORMES QUADRATIQUES X^ -f- D J*. 895
I, 17, 25, 29, 35, 43, 47, 49, 53, 55, 59, 65, 31,77, 79» 89,01, 95, 97, io2> 109, ii5, 121, 127, i3i, i33, 137, i3q, 143, i5i,
157, 161, i6p, i85, iQi, 193, 197, 190, 2()5, 209, 223, 227, 247, 253, 259, 2^, 271,287, 289, 299, 3oo, 3ii,33i,335, 349, 353, 359, 36i, 36^, 307.
3765 +1,5, 7, 9, II, i3, 17, 19, 25, 29, 35, 43, 4^» 49 î ^5 j 63, 65, 67» 697 7»> II1 79> 81, 85, 89, 91,93, 95, 97,99, io3, 107, lOQ, m, 117, ii(^, 121, 123, 125, i33, 139, 143, 145, i53, 159, i63, 169, 171, 170, 177, 179. 181, i83, 187, 191, 2o3, 209, 21 1, 2i5,
2IQ, 221, 225, 227, 22Q, 23q, 241, 245, 2Î7, 2^9, 261, 263, 2TI,
275, 289, 293, 3oi, 3o3, 3i5, 3i7, Sm, 32^, 325, 335, 337, 33q, 343, 345, 349, 353, 355, 36i, 373.
38oz-H 1,3, 9, II, i3, 27, 33, 37, 39, 49, 53, 61,67, 81,97, 09, 101, io3, 107, m, ii3, UT, iiQ, 121, 127, i3i, 139, 143, i47, i49»
159, 161, 167, 169, 173, l83, 191, lûS, 199, 201, 203, 217, 223,
227, 229, 239, 243, 25i, 257, 271,287, 289, 2ûi, 293, 207, 3oi, 3o3, 3o7, 3oQ, 3ii, 3i7, 32i, 329, 333, 337, 339, 349, ^^'ï ^^7» 359, 363, 370.
3885 H- 1, 7, 9, i5, 19, 23, 25, 33, 39, 49, 5i, 53, 55, 59, 61, 63, 65, 67, 71, 73, 81, 83, 85, 87, 89, qi, 101, io5, 107, lOQ^ m, 1 13, 121, 123, 127, 129, i3i, i33, io5, 139, yf\\^ i43, i4j, i55, 161, 169, 171, 175, 179, i85, 187, iq3, 197, 199, 2o5, 207, 211, 2i5, 221, 223, 225, 229, 23i, 235, 2d7, 23q, 241, 25!, 263, 260, 271, 2^3, 285, 280, 2qS, 2^7, 309, 3i I, 3i5, 3i9, 33i, 3^i, 34$, 3^5, 347, 35 1, 35f, 357, 309, 36i, 367, 371, 375, 377, 383, 385.
fo45 -h I, 3, 5, 7, 9, II, 13, i5, 17, 21, 25, 27, 33, 35, 37, 89, 45, 4^, 5i, 55, 59, 63, 65, 67, 75, 77, 81, 83, 85, 91, 9^, 99, io3, loj, m, 1 17, 119, 121, 123, 127, i35, 137, 139, 143, i47» i5i, IÔ3, 157, i63, i65, 167, 169, 175, 177, 181, i85, 187, 189, iQi, 193, iq5, 197, 199, 201, 221, 225, 23i, 233, 243, 245, 2^9, 25:î, 25q, 263, 271, 270, 275, 287, 289, 291, 2q5, 297, 3o5, 3ii, 3i3, 3i5, 32i, 329, 33i,335, 343,347, 351,357, 3"6i,363, 373, 375,38i,385.
TABLE IV
TABLE IV
Table des formes linéaires des facteurs impairs des formes quadratiques x^ — A^'
de A =2 à A = loi.
lo'^5 4-l, 5, 9. II, 17, 19, 21, 23, 25, 37, 45, 49, 55
1165 4- I, 5, 7, 9, i3, 23, 25, 33, 35, 4^, 49, 5'» ^3, 5;, 59, 63, 65, 67, 71, i8i, 83, 91, 93, io3, 107, 109, 1 11, 1 1 5.
1205 ■+■ I, 7, i3, 17, 19, 29, 37, 49, 71, 83, 91^ 101, io3, Î07, ii3, 119.
1245 — i, 3, 5, 9, 11, i5, 23, 25, 27, 33, 4i, 43, 45, 49, 55, 69, 75, 79, 81, 83, 91,97, 99, 101, 109, ii3, ii5, 119, lai, ij3.
i325 4- 1, 17, 25, 20, 3i, 35, 37, 4', 49ï 65, 67, 83, 91, 90, 97, 101, io3, 107,. ii5, i3i.
i365 -H 1, 3. 5, 9, 11, i5, 25, 27, 29, 33, 37, 4^, 47, 49, ^5» 61, T5, 81, 87, 89, 91, 99, io3, 107, 109, 111, 121, 120, 127, i3i, i33,
FACTEURS IMPAIRS DES FORMES QUADRATIQUES a:*H-Aj'.
1485 ■+■ I, 3, 7, 9, II, 21, 25. 27, 33, 4») 4?» 49» 53, 63, 65, 67, 71, 73. 7^' 77* ^»« 83, 85, 95, 99, 101, 107, ii5, 121, 123, 127, 137, 139, i4i, 145, 147.
i52-3 -+- I, 9, II, i3, i5, 17, 23, 25, 29, 3i, 35, 37, 43, 49» ^3, 69, 71, 73, 79, 81, 83, 99, io3, 109, ii5, 117, 121, ri3, 127, 129, 235, 1^7, i39, i4i, 1^3, i5i.
I, 5, 7, 19, 23, 25, 3i, 35, 4i, 4g, 121, ii5, i3i, i33, 137, 149, i5i, io5
164^ -4- I, 5, 9, 21, 23, 25, 3i, 33, 37, 39, 43, 45, 49» 5»» *^7» ^9, 61, 73, 77, 81, 83, 87, 91, io3, io5, 107, ii3, n5, 119, 121, i25, 127, i3i, i33, 139, ijf, 143, i55, 159, i63.
1682 ■+■ 1,11, i3, 17, 19, 25, 19, 4i, 47, 53, 61, 79, 89, 107, ii5, 121,
• 1, II, i4, 17, 19, 20, 29, \It^7, a^j < 127, 139, 143, 1^9, i5i, i5j, 107, 167
1725-4- 1, 3, 7, 9, i3, 17, 19, 21, 25, 27, 39, 4i, 49, 5i, 53, 55, 07, 63, 71, 75, 81, 91, 97, 101, 109, ii5, 117, 119, 121, 123, i3i, i3^, 145, i47» i5i, i53, i55, 159, i63, i6d, 169, 171.
i84s -f- I, 3, 5, 7, 9, i5, 21, 25, 27, 35, 37, 4»» 4^» 49» ^3, 59, 61, 62, 73, 75, 79, 81, io3, io5, 100, III, 121, 123, 125, lài, i35, i39, 143, 147, i49» '^7» ï-^9» '^^7 »^9' ^1^1 '77» '79» ï8i, i83.
i88s-+- I, 9, II, i5, 17, 19, 21, 23, 25, 3i, 35, 37, 39, 43, 49» ^3, 61, 65, 67, 81, 87, 89, ni, 97, 99, 101, 107, 121, 123, 127, i35, 139, 145, i49î i5i, ij3, 107, i63, i65, 167, 169, 171, 173, 1-7, »79» »87-
2o4« •+■ Il 5, 7, i3, 25, 29, 3i, 35, 4»» 47» ^9t 5q, 65, 79, 83, 91, ii3, 121, 125, i39, 145, i55, 157, i63, 169, 173, 175, 179, 191, 197, 199, 2o3.
53 2125 4- I, 7, 9, II, i3, i5, 17, 25, 29, 37, 43, 47, '40, 57, 59, 63, 69, 77,81,89, 9'» 9?» 9^' 97» 99» ïo5» 107, ni, ii5, 117, 119, 121, 123, i3i, i35, i'|3, i49, i53, i55, i63, i65, 169, 175, i83, 187, 195, 197, 199, 201, 2o3, 2o5, 211.
1, 3, 9, i3, 17, 19, 23, 21, 39, 47, 49, 5i, 57, 67, 69, 73, 79, 81, 89, io3, 117, i3i, i3o, i4i, i47» i5i, i5i, i63, i()9, 171, 173, 181, 193, 197, 201, 2oâ, 207, 2ji, 217, 219.
5 -h I, 7, 25, 29, 4«» 43, 49, 53, 55, 59, 61, 6), 71, 73, 85, 89, 107, ii3, ii5, 121, 139, i4^, i55, 1,57, i63, 167, 169, 173, 175, 179, 85, 187, 199, 2o3, 221, 227.
232 3 -H 1, 3, 7, 9, M, 19, 21, 23, 25, 27 , 33 , 37, 43 , 49» 57 , 6i, 63, 65, 69, 71, 75, 77, 81, 85, 99, 101, io3, III, 121, 129, i3i, i33, 147, i5i, i55, 157, 161, i65, 167, 160, 171, 175, i83, 189, 195,
