| Spherical harmonic coefficients of the 9th Generation IGRF (revised 2003) | ||||||||||||||||||||||||
| g/h | n | m | 1900.0 | 1905.0 | 1910.0 | 1915.0 | 1920.0 | 1925.0 | 1930.0 | 1935.0 | 1940.0 | 1945.0 | 1950.0 | 1955.0 | 1960.0 | 1965.0 | 1970.0 | 1975.0 | 1980.0 | 1985.0 | 1990.0 | 1995.0 | 2000.0 | SV |
| g | 1 | 0 | -31543 | -31464 | -31354 | -31212 | -31060 | -30926 | -30805 | -30715 | -30654 | -30594 | -30554 | -30500 | -30421 | -30334 | -30220 | -30100 | -29992 | -29873 | -29775 | -29692 | -29619.4 | 13.3 |
| g | 1 | 1 | -2298 | -2298 | -2297 | -2306 | -2317 | -2318 | -2316 | -2306 | -2292 | -2285 | -2250 | -2215 | -2169 | -2119 | -2068 | -2013 | -1956 | -1905 | -1848 | -1784 | -1728.2 | 11.6 |
| h | 1 | 1 | 5922 | 5909 | 5898 | 5875 | 5845 | 5817 | 5808 | 5812 | 5821 | 5810 | 5815 | 5820 | 5791 | 5776 | 5737 | 5675 | 5604 | 5500 | 5406 | 5306 | 5186.1 | -21.2 |
| g | 2 | 0 | -677 | -728 | -769 | -802 | -839 | -893 | -951 | -1018 | -1106 | -1244 | -1341 | -1440 | -1555 | -1662 | -1781 | -1902 | -1997 | -2072 | -2131 | -2200 | -2267.7 | -14.4 |
| g | 2 | 1 | 2905 | 2928 | 2948 | 2956 | 2959 | 2969 | 2980 | 2984 | 2981 | 2990 | 2998 | 3003 | 3002 | 2997 | 3000 | 3010 | 3027 | 3044 | 3059 | 3070 | 3068.4 | -3.7 |
| h | 2 | 1 | -1061 | -1086 | -1128 | -1191 | -1259 | -1334 | -1424 | -1520 | -1614 | -1702 | -1810 | -1898 | -1967 | -2016 | -2047 | -2067 | -2129 | -2197 | -2279 | -2366 | -2481.6 | -22.7 |
| g | 2 | 2 | 924 | 1041 | 1176 | 1309 | 1407 | 1471 | 1517 | 1550 | 1566 | 1578 | 1576 | 1581 | 1590 | 1594 | 1611 | 1632 | 1663 | 1687 | 1686 | 1681 | 1670.9 | -3.6 |
| h | 2 | 2 | 1121 | 1065 | 1000 | 917 | 823 | 728 | 644 | 586 | 528 | 477 | 381 | 291 | 206 | 114 | 25 | -68 | -200 | -306 | -373 | -413 | -458 | -11.1 |
| g | 3 | 0 | 1022 | 1037 | 1058 | 1084 | 1111 | 1140 | 1172 | 1206 | 1240 | 1282 | 1297 | 1302 | 1302 | 1297 | 1287 | 1276 | 1281 | 1296 | 1314 | 1335 | 1339.6 | -1.1 |
| g | 3 | 1 | -1469 | -1494 | -1524 | -1559 | -1600 | -1645 | -1692 | -1740 | -1790 | -1834 | -1889 | -1944 | -1992 | -2038 | -2091 | -2144 | -2180 | -2208 | -2239 | -2267 | -2288 | -3.5 |
| h | 3 | 1 | -330 | -357 | -389 | -421 | -445 | -462 | -480 | -494 | -499 | -499 | -476 | -462 | -414 | -404 | -366 | -333 | -336 | -310 | -284 | -262 | -227.6 | 5.6 |
| g | 3 | 2 | 1256 | 1239 | 1223 | 1212 | 1205 | 1202 | 1205 | 1215 | 1232 | 1255 | 1274 | 1288 | 1289 | 1292 | 1278 | 1260 | 1251 | 1247 | 1248 | 1249 | 1252.1 | -1.2 |
| h | 3 | 2 | 3 | 34 | 62 | 84 | 103 | 119 | 133 | 146 | 163 | 186 | 206 | 216 | 224 | 240 | 251 | 262 | 271 | 284 | 293 | 302 | 293.4 | -4.5 |
| g | 3 | 3 | 572 | 635 | 705 | 778 | 839 | 881 | 907 | 918 | 916 | 913 | 896 | 882 | 878 | 856 | 838 | 830 | 833 | 829 | 802 | 759 | 714.5 | -8.5 |
| h | 3 | 3 | 523 | 480 | 425 | 360 | 293 | 229 | 166 | 101 | 43 | -11 | -46 | -83 | -130 | -165 | -196 | -223 | -252 | -297 | -352 | -427 | -491.1 | -8 |
| g | 4 | 0 | 876 | 880 | 884 | 887 | 889 | 891 | 896 | 903 | 914 | 944 | 954 | 958 | 957 | 957 | 952 | 946 | 938 | 936 | 939 | 940 | 932.3 | -2.7 |
| g | 4 | 1 | 628 | 643 | 660 | 678 | 695 | 711 | 727 | 744 | 762 | 776 | 792 | 796 | 800 | 804 | 800 | 791 | 782 | 780 | 780 | 780 | 786.8 | 2.2 |
| h | 4 | 1 | 195 | 203 | 211 | 218 | 220 | 216 | 205 | 188 | 169 | 144 | 136 | 133 | 135 | 148 | 167 | 191 | 212 | 232 | 247 | 262 | 272.6 | 1.7 |
| g | 4 | 2 | 660 | 653 | 644 | 631 | 616 | 601 | 584 | 565 | 550 | 544 | 528 | 510 | 504 | 479 | 461 | 438 | 398 | 361 | 325 | 290 | 250 | -8 |
| h | 4 | 2 | -69 | -77 | -90 | -109 | -134 | -163 | -195 | -226 | -252 | -276 | -278 | -274 | -278 | -269 | -266 | -265 | -257 | -249 | -240 | -236 | -231.9 | 1 |
| g | 4 | 3 | -361 | -380 | -400 | -416 | -424 | -426 | -422 | -415 | -405 | -421 | -408 | -397 | -394 | -390 | -395 | -405 | -419 | -424 | -423 | -418 | -403 | 4.5 |
| h | 4 | 3 | -210 | -201 | -189 | -173 | -153 | -130 | -109 | -90 | -72 | -55 | -37 | -23 | 3 | 13 | 26 | 39 | 53 | 69 | 84 | 97 | 119.8 | 5.1 |
| g | 4 | 4 | 134 | 146 | 160 | 178 | 199 | 217 | 234 | 249 | 265 | 304 | 303 | 290 | 269 | 252 | 234 | 216 | 199 | 170 | 141 | 122 | 111.3 | -1.9 |
| h | 4 | 4 | -75 | -65 | -55 | -51 | -57 | -70 | -90 | -114 | -141 | -178 | -210 | -230 | -255 | -269 | -279 | -288 | -297 | -297 | -299 | -306 | -303.8 | -0.3 |
| g | 5 | 0 | -184 | -192 | -201 | -211 | -221 | -230 | -237 | -241 | -241 | -253 | -240 | -229 | -222 | -219 | -216 | -218 | -218 | -214 | -214 | -214 | -218.8 | -1.4 |
| g | 5 | 1 | 328 | 328 | 327 | 327 | 326 | 326 | 327 | 329 | 334 | 346 | 349 | 360 | 362 | 358 | 359 | 356 | 357 | 355 | 353 | 352 | 351.4 | 0.7 |
| h | 5 | 1 | -210 | -193 | -172 | -148 | -122 | -96 | -72 | -51 | -33 | -12 | 3 | 15 | 16 | 19 | 26 | 31 | 46 | 47 | 46 | 46 | 43.8 | -0.3 |
| g | 5 | 2 | 264 | 259 | 253 | 245 | 236 | 226 | 218 | 211 | 208 | 194 | 211 | 230 | 242 | 254 | 262 | 264 | 261 | 253 | 245 | 235 | 222.3 | -2.6 |
| h | 5 | 2 | 53 | 56 | 57 | 58 | 58 | 58 | 60 | 64 | 71 | 95 | 103 | 110 | 125 | 128 | 139 | 148 | 150 | 150 | 154 | 165 | 171.9 | 1.5 |
| g | 5 | 3 | 5 | -1 | -9 | -16 | -23 | -28 | -32 | -33 | -33 | -20 | -20 | -23 | -26 | -31 | -42 | -59 | -74 | -93 | -109 | -118 | -130.4 | -1.2 |
| h | 5 | 3 | -33 | -32 | -33 | -34 | -38 | -44 | -53 | -64 | -75 | -67 | -87 | -98 | -117 | -126 | -139 | -152 | -151 | -154 | -153 | -143 | -133.1 | 2 |
| g | 5 | 4 | -86 | -93 | -102 | -111 | -119 | -125 | -131 | -136 | -141 | -142 | -147 | -152 | -156 | -157 | -160 | -159 | -162 | -164 | -165 | -166 | -168.6 | 0 |
| h | 5 | 4 | -124 | -125 | -126 | -126 | -125 | -122 | -118 | -115 | -113 | -119 | -122 | -121 | -114 | -97 | -91 | -83 | -78 | -75 | -69 | -55 | -39.3 | 3.8 |
| g | 5 | 5 | -16 | -26 | -38 | -51 | -62 | -69 | -74 | -76 | -76 | -82 | -76 | -69 | -63 | -62 | -56 | -49 | -48 | -46 | -36 | -17 | -12.9 | -0.2 |
| h | 5 | 5 | 3 | 11 | 21 | 32 | 43 | 51 | 58 | 64 | 69 | 82 | 80 | 78 | 81 | 81 | 83 | 88 | 92 | 95 | 97 | 107 | 106.3 | -0.5 |
| g | 6 | 0 | 63 | 62 | 62 | 61 | 61 | 61 | 60 | 59 | 57 | 59 | 54 | 47 | 46 | 45 | 43 | 45 | 48 | 53 | 61 | 68 | 72.3 | 0.4 |
| g | 6 | 1 | 61 | 60 | 58 | 57 | 55 | 54 | 53 | 53 | 54 | 57 | 57 | 57 | 58 | 61 | 64 | 66 | 66 | 65 | 65 | 67 | 68.2 | 0.3 |
| h | 6 | 1 | -9 | -7 | -5 | -2 | 0 | 3 | 4 | 4 | 4 | 6 | -1 | -9 | -10 | -11 | -12 | -13 | -15 | -16 | -16 | -17 | -17.4 | -0.7 |
| g | 6 | 2 | -11 | -11 | -11 | -10 | -10 | -9 | -9 | -8 | -7 | 6 | 4 | 3 | 1 | 8 | 15 | 28 | 42 | 51 | 59 | 68 | 74.2 | 0.7 |
| h | 6 | 2 | 83 | 86 | 89 | 93 | 96 | 99 | 102 | 104 | 105 | 100 | 99 | 96 | 99 | 100 | 100 | 99 | 93 | 88 | 82 | 72 | 63.7 | -1.8 |
| g | 6 | 3 | -217 | -221 | -224 | -228 | -233 | -238 | -242 | -246 | -249 | -246 | -247 | -247 | -237 | -228 | -212 | -198 | -192 | -185 | -178 | -170 | -160.9 | 1.9 |
| h | 6 | 3 | 2 | 4 | 5 | 8 | 11 | 14 | 19 | 25 | 33 | 16 | 33 | 48 | 60 | 68 | 72 | 75 | 71 | 69 | 69 | 67 | 65.1 | -0.2 |
| g | 6 | 4 | -58 | -57 | -54 | -51 | -46 | -40 | -32 | -25 | -18 | -25 | -16 | -8 | -1 | 4 | 2 | 1 | 4 | 4 | 3 | -1 | -5.9 | -1.7 |
| h | 6 | 4 | -35 | -32 | -29 | -26 | -22 | -18 | -16 | -15 | -15 | -9 | -12 | -16 | -20 | -32 | -37 | -41 | -43 | -48 | -52 | -58 | -61.2 | -0.4 |
| g | 6 | 5 | 59 | 57 | 54 | 49 | 44 | 39 | 32 | 25 | 18 | 21 | 12 | 7 | -2 | 1 | 3 | 6 | 14 | 16 | 18 | 19 | 16.9 | -0.5 |
| h | 6 | 5 | 36 | 32 | 28 | 23 | 18 | 13 | 8 | 4 | 0 | -16 | -12 | -12 | -11 | -8 | -6 | -4 | -2 | -1 | 1 | 1 | 0.7 | -0.2 |
| g | 6 | 6 | -90 | -92 | -95 | -98 | -101 | -103 | -104 | -106 | -107 | -104 | -105 | -107 | -113 | -111 | -112 | -111 | -108 | -102 | -96 | -93 | -90.4 | 0.7 |
| h | 6 | 6 | -69 | -67 | -65 | -62 | -57 | -52 | -46 | -40 | -33 | -39 | -30 | -24 | -17 | -7 | 1 | 11 | 17 | 21 | 24 | 36 | 43.8 | 1.5 |
| g | 7 | 0 | 70 | 70 | 71 | 72 | 73 | 73 | 74 | 74 | 74 | 70 | 65 | 65 | 67 | 75 | 72 | 71 | 72 | 74 | 77 | 77 | 79 | 0.2 |
| g | 7 | 1 | -55 | -54 | -54 | -54 | -54 | -54 | -54 | -53 | -53 | -40 | -55 | -56 | -56 | -57 | -57 | -56 | -59 | -62 | -64 | -72 | -74 | -0.1 |
| h | 7 | 1 | -45 | -46 | -47 | -48 | -49 | -50 | -51 | -52 | -52 | -45 | -35 | -50 | -55 | -61 | -70 | -77 | -82 | -83 | -80 | -69 | -64.6 | 0.7 |
| g | 7 | 2 | 0 | 0 | 1 | 2 | 2 | 3 | 4 | 4 | 4 | 0 | 2 | 2 | 5 | 4 | 1 | 1 | 2 | 3 | 2 | 1 | 0 | -0.3 |
| h | 7 | 2 | -13 | -14 | -14 | -14 | -14 | -14 | -15 | -17 | -18 | -18 | -17 | -24 | -28 | -27 | -27 | -26 | -27 | -27 | -26 | -25 | -24.2 | 0.3 |
| g | 7 | 3 | 34 | 33 | 32 | 31 | 29 | 27 | 25 | 23 | 20 | 0 | 1 | 10 | 15 | 13 | 14 | 16 | 21 | 24 | 26 | 28 | 33.3 | 1.1 |
| h | 7 | 3 | -10 | -11 | -12 | -12 | -13 | -14 | -14 | -14 | -14 | 2 | 0 | -4 | -6 | -2 | -4 | -5 | -5 | -2 | 0 | 4 | 6.2 | 0.1 |
| g | 7 | 4 | -41 | -41 | -40 | -38 | -37 | -35 | -34 | -33 | -31 | -29 | -40 | -32 | -32 | -26 | -22 | -14 | -12 | -6 | -1 | 5 | 9.1 | 0.7 |
| h | 7 | 4 | ||||||||||||||||||||||