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Table 3 Derived SV candidate model

From: A candidate secular variation model for IGRF-13 based on MHD dynamo simulation and 4DEnVar data assimilation

\(l\)

\(m\)

\(\dot{g}_{l}^{m}\)

\(\dot{h}_{l}^{m}\)

\(\delta \dot{g}_{l}^{m}\)

\(\delta \dot{h}_{l}^{m}\)

1

0

\(1.88\)

\(0.21\)

1

1

\(3.82\)

\(- 24.64\)

\(0.27\)

\(0.26\)

2

0

\(- 10.85\)

\(0.21\)

2

1

\(- 6.21\)

\(- 26.05\)

\(0.24\)

\(0.21\)

2

2

\(- 4.59\)

\(- 17.18\)

\(0.18\)

\(0.18\)

3

0

\(0.31\)

-

\(0.19\)

-

3

1

\(- 4.94\)

\(4.51\)

\(0.15\)

\(0.15\)

3

2

\(2.03\)

\(- 0.58\)

\(0.15\)

\(0.15\)

3

3

\(- 11.74\)

\(- 0.45\)

\(0.12\)

\(0.12\)

4

0

\(- 0.04\)

\(0.11\)

4

1

\(- 0.37\)

\(- 0.10\)

\(0.11\)

\(0.10\)

4

2

\(- 5.91\)

\(4.49\)

\(0.10\)

\(0.10\)

4

3

\(2.61\)

\(4.14\)

\(0.09\)

\(0.09\)

4

4

\(- 5.05\)

\(- 4.62\)

\(0.08\)

\(0.08\)

5

0

\(- 0.95\)

\(0.07\)

5

1

\(0.00\)

\(- 1.40\)

\(0.07\)

\(0.07\)

5

2

\(0.21\)

\(2.89\)

\(0.07\)

\(0.07\)

5

3

\(1.16\)

\(0.69\)

\(0.06\)

\(0.06\)

5

4

\(0.73\)

\(1.49\)

\(0.06\)

\(0.06\)

5

5

\(0.95\)

\(- 0.08\)

\(0.05\)

\(0.05\)

6

0

\(- 0.65\)

\(0.05\)

6

1

\(- 0.52\)

\(- 0.25\)

\(0.05\)

\(0.04\)

6

2

\(0.62\)

\(- 1.37\)

\(0.04\)

\(0.04\)

6

3

\(1.48\)

\(- 1.27\)

\(0.04\)

\(0.04\)

6

4

\(- 1.14\)

\(0.78\)

\(0.03\)

\(0.03\)

6

5

\(0.33\)

\(0.03\)

\(0.04\)

\(0.04\)

6

6

\(0.92\)

\(0.85\)

\(0.03\)

\(0.03\)

7

0

\(- 0.53\)

\(0.03\)

7

1

\(- 0.18\)

\(0.32\)

\(0.03\)

\(0.02\)

7

2

\(0.05\)

\(0.96\)

\(0.03\)

\(0.03\)

7

3

\(0.90\)

\(- 0.05\)

\(0.02\)

\(0.02\)

7

4

\(- 0.09\)

\(- 0.01\)

\(0.03\)

\(0.02\)

7

5

\(- 0.70\)

\(- 1.27\)

\(0.02\)

\(0.02\)

7

6

\(- 0.74\)

\(- 0.03\)

\(0.02\)

\(0.02\)

7

7

\(0.16\)

\(0.12\)

\(0.02\)

\(0.02\)

8

0

\(- 0.10\)

\(0.02\)

8

1

\(0.05\)

\(- 0.62\)

\(0.02\)

\(0.02\)

8

2

\(- 0.07\)

\(0.64\)

\(0.02\)

\(0.01\)

8

3

\(0.32\)

\(- 0.06\)

\(0.02\)

\(0.02\)

8

4

\(- 0.02\)

\(0.64\)

\(0.01\)

\(0.01\)

8

5

\(0.20\)

\(- 0.11\)

\(0.01\)

\(0.01\)

8

6

\(0.15\)

\(- 0.50\)

\(0.01\)

\(0.01\)

8

7

\(- 0.15\)

\(0.27\)

\(0.01\)

\(0.01\)

8

8

\(0.23\)

\(0.02\)

\(0.01\)

\(0.01\)