Table 1: Comparing effective quantum numbers $\nu _{\rm o}$ of observed binding energies $E_{\rm o}$ with $\nu _{\rm c}$ computed in stage STGB of BPRM ( $\nu$ measured from respective Fe XVIII threshold t). Index I_J counts levels within symmetry $J\pi$ in energy order, * indicating that level J belongs to an incompletely observed multiplet.
Level J $I\!_J$ $E_{\rm o}$ /Ry $\nu _{\rm o}$ $\nu _{\rm c}$ t

2s22p6 ¹S 0 1 92.760 1.7651 1.7643 1

2s22p5(2P*3/2)3s ³P $^{\rm o}$ 2 1 39.463 2.7062 2.7063 1

2s22p5(2P*3/2)3s ³P $^{\rm o}$ 1 1 39.323 2.7110 2.7111 1

2s22p6(2P*1/2)3s ³P $^{\rm o}$ 0 1 38.533 2.7060 2.7064 2

2s22p6(2P*1/2)3s ¹P $^{\rm o}$ 1 2 38.446 2.7090 2.7095 2

2s22p53p ³S 1 1 37.238 2.7858 2.7858 1

2s22p53p ³D 3 1 36.863 2.8000 2.8001 1

2s22p53p ³D 2 1 36.981 2.7955 2.7958 1

2s22p53p ³D 1 3 36.093 2.7937 2.7945 2

2s22p53p ¹P 1 2 36.780 2.8031 2.8034 1

2s22p53p ³P 2 2 36.646 2.8082 2.8085 1

2s22p53p ³P 1 4 35.854 2.8028 2.8034 2

2s22p53p ³P 0 2 36.244 2.8238 2.8246 1

2s22p53p ¹D 2 3 35.826 2.8039 2.8046 2

2s22p53p ¹S 0 3 34.871 2.8410 2.8437 2

2s22p53d ³P $^{\rm o}$ 2 2 33.662 2.9301 2.9324 1

2s22p53d ³P $^{\rm o}$ 1 3 33.778 2.9250 2.9260 1

2s22p53d ³P $^{\rm o}$ 0 2 33.862 2.9214 2.9226 1

2s22p53d ³F $^{\rm o}$ 4 1 33.656 2.9303 2.9329 1

2s22p53d ³F $^{\rm o}$ 3 1 33.599 2.9329 2.9346 1

2s22p53d ³F $^{\rm o}$ 2 4 32.672 2.9325 2.9346 2

2s22p53d ¹D $^{\rm o}$ 2 3 33.472 2.9384 2.9403 1

2s22p53d ³D $^{\rm o}$ 3 2 33.393 2.9419 2.9444 1

2s22p53d ³D $^{\rm o}$ 2 5 32.598 2.9357 2.9380 2

2s22p53d ³D $^{\rm o}$ 1 4 33.052 2.9570 2.9595 1

2s22p53d ¹F $^{\rm o}$ 3 3 32.563 2.9373 2.9397 2

2s22p53d ¹P $^{\rm o}$ 1 5 32.070 2.9591 2.9525 2

2s2p63p ³P $^{\rm o}$ 1 * 6 27.159 2.8000 2.8047 3

2s2p63p ¹P $^{\rm o}$ 1 7 26.836 2.8124 2.8171 3

2s22p5(2P*3/2)4s ³P $^{\rm o}$ 1 * 8 20.899 3.7187 3.7209 1

2s22p5(2P*1/2)4s ¹P $^{\rm o}$ 1 9 20.014 3.7142 3.7188 2

2s22p54d ³P $^{\rm o}$ 1 * 10 18.802 3.9205 3.9283 1

2s22p54d ³D $^{\rm o}$ 1 * 11 18.455 3.9572 3.9623 1

2s22p54d ¹P $^{\rm o}$ 1 12 17.590 3.9498 3.9540 2

2s22p5(2P*3/2)5s ³P $^{\rm o}$ 1 * 13 12.960 4.7222 4.7201 1

2s22p5(2P*1/2)5s ¹P $^{\rm o}$ 1 14 12.022 4.7228 4.7173 2

2s22p55d ³P $^{\rm o}$ 1 * 15 12.022 4.9030 4.9258 1

2s22p55d ³D $^{\rm o}$ 1 * 16 11.776 4.9539 4.9610 1

2s22p55d
¹P $^{\rm o}$ 1 17 10.910 4.9395 4.9484 2

2s2p64p ³P $^{\rm o}$ 1 * 18 10.236 3.8072 3.8142 3

2s2p64p ¹P $^{\rm o}$ 1 19 10.090 3.8212 3.8235 3

2s22p5(2P*3/2)6s ³P $^{\rm o}$ 1 * 20 8.7776 5.7380 5.7196 1

2s22p5(2P*3/2)6d ³P $^{\rm o}$ 1 * 22 8.1488 5.9555 5.9547 1

2s22p5(2P*1/2)6d ¹P $^{\rm o}$ 1 * 24 7.2558 5.9401 5.9417 2

2s22p5(2P*3/2)7s ³P $^{\rm o}$ 1 * 25 6.3810 6.7298 6.7220 1

2s22p5(2P*3/2)7d ³P $^{\rm o}$ 1 * 26 5.9709 6.9571 6.9240 1

2s22p5(2P*1/2)7d ¹P $^{\rm o}$ 1 * 29 5.0232 6.9647 6.9422 2

2s22p5(2P*3/2)8d ³P $^{\rm o}$ 1 * 31 4.4582 8.0514 7.9267 1

2s22p5(2P*1/2)8d ¹P $^{\rm o}$ 1 * 35 3.6016 7.9817 7.9397 2

2s2p65p ³P $^{\rm o}$ 1 * 42 2.7450 4.8185 4.8141 3

2s2p65p ¹P $^{\rm o}$ 1 43 2.7450 4.8185 4.8250 3

n. b. $E_{\rm t}$ /Ry = 0.0, 0.9348, 9.7023 [M-shell: 57.08, ... 74.14,

N-shell: 77.05, ... 91.36, O-shell: 85.71, ... 98.66]

**Table 1:** Comparing effective quantum numbers $\nu _{\rm o}$ of observed binding energies $E_{\rm o}$ with $\nu _{\rm c}$ computed in stage `STGB` of BPRM ( $\nu$ measured from respective Fe XVIII threshold t). Index I_J counts levels within symmetry $J\pi$ in energy order, * indicating that level J belongs to an incompletely observed multiplet.
Level	J	$I\!_J$	$E_{\rm o}$ /Ry	$\nu _{\rm o}$	$\nu _{\rm c}$	t
2s22p6	¹S	0	1	92.760	1.7651	1.7643	1
2s22p5(2P*3/2)3s	³P $^{\rm o}$	2	1	39.463	2.7062	2.7063	1
2s22p5(2P*3/2)3s	³P $^{\rm o}$	1	1	39.323	2.7110	2.7111	1
2s22p6(2P*1/2)3s	³P $^{\rm o}$	0	1	38.533	2.7060	2.7064	2
2s22p6(2P*1/2)3s	¹P $^{\rm o}$	1	2	38.446	2.7090	2.7095	2
2s22p53p	³S	1	1	37.238	2.7858	2.7858	1
2s22p53p	³D	3	1	36.863	2.8000	2.8001	1
2s22p53p	³D	2	1	36.981	2.7955	2.7958	1
2s22p53p	³D	1	3	36.093	2.7937	2.7945	2
2s22p53p	¹P	1	2	36.780	2.8031	2.8034	1
2s22p53p	³P	2	2	36.646	2.8082	2.8085	1
2s22p53p	³P	1	4	35.854	2.8028	2.8034	2
2s22p53p	³P	0	2	36.244	2.8238	2.8246	1
2s22p53p	¹D	2	3	35.826	2.8039	2.8046	2
2s22p53p	¹S	0	3	34.871	2.8410	2.8437	2
2s22p53d	³P $^{\rm o}$	2	2	33.662	2.9301	2.9324	1
2s22p53d	³P $^{\rm o}$	1	3	33.778	2.9250	2.9260	1
2s22p53d	³P $^{\rm o}$	0	2	33.862	2.9214	2.9226	1
2s22p53d	³F $^{\rm o}$	4	1	33.656	2.9303	2.9329	1
2s22p53d	³F $^{\rm o}$	3	1	33.599	2.9329	2.9346	1
2s22p53d	³F $^{\rm o}$	2	4	32.672	2.9325	2.9346	2
2s22p53d	¹D $^{\rm o}$	2	3	33.472	2.9384	2.9403	1
2s22p53d	³D $^{\rm o}$	3	2	33.393	2.9419	2.9444	1
2s22p53d	³D $^{\rm o}$	2	5	32.598	2.9357	2.9380	2
2s22p53d	³D $^{\rm o}$	1	4	33.052	2.9570	2.9595	1
2s22p53d	¹F $^{\rm o}$	3	3	32.563	2.9373	2.9397	2
2s22p53d	¹P $^{\rm o}$	1	5	32.070	2.9591	2.9525	2
2s2p63p	³P $^{\rm o}$	1 *	6	27.159	2.8000	2.8047	3
2s2p63p	¹P $^{\rm o}$	1	7	26.836	2.8124	2.8171	3
2s22p5(2P*3/2)4s	³P $^{\rm o}$	1 *	8	20.899	3.7187	3.7209	1
2s22p5(2P*1/2)4s	¹P $^{\rm o}$	1	9	20.014	3.7142	3.7188	2
2s22p54d	³P $^{\rm o}$	1 *	10	18.802	3.9205	3.9283	1
2s22p54d	³D $^{\rm o}$	1 *	11	18.455	3.9572	3.9623	1
2s22p54d	¹P $^{\rm o}$	1	12	17.590	3.9498	3.9540	2
2s22p5(2P*3/2)5s	³P $^{\rm o}$	1 *	13	12.960	4.7222	4.7201	1
2s22p5(2P*1/2)5s	¹P $^{\rm o}$	1	14	12.022	4.7228	4.7173	2
2s22p55d	³P $^{\rm o}$	1 *	15	12.022	4.9030	4.9258	1
2s22p55d	³D $^{\rm o}$	1 *	16	11.776	4.9539	4.9610	1
2s22p55d	¹P $^{\rm o}$	1	17	10.910	4.9395	4.9484	2
2s2p64p	³P $^{\rm o}$	1 *	18	10.236	3.8072	3.8142	3
2s2p64p	¹P $^{\rm o}$	1	19	10.090	3.8212	3.8235	3
2s22p5(2P*3/2)6s	³P $^{\rm o}$	1 *	20	8.7776	5.7380	5.7196	1
2s22p5(2P*3/2)6d	³P $^{\rm o}$	1 *	22	8.1488	5.9555	5.9547	1
2s22p5(2P*1/2)6d	¹P $^{\rm o}$	1 *	24	7.2558	5.9401	5.9417	2
2s22p5(2P*3/2)7s	³P $^{\rm o}$	1 *	25	6.3810	6.7298	6.7220	1
2s22p5(2P*3/2)7d	³P $^{\rm o}$	1 *	26	5.9709	6.9571	6.9240	1
2s22p5(2P*1/2)7d	¹P $^{\rm o}$	1 *	29	5.0232	6.9647	6.9422	2
2s22p5(2P*3/2)8d	³P $^{\rm o}$	1 *	31	4.4582	8.0514	7.9267	1
2s22p5(2P*1/2)8d	¹P $^{\rm o}$	1 *	35	3.6016	7.9817	7.9397	2
2s2p65p	³P $^{\rm o}$	1 *	42	2.7450	4.8185	4.8141	3
2s2p65p	¹P $^{\rm o}$	1	43	2.7450	4.8185	4.8250	3
n. b. $E_{\rm t}$ /Ry = 0.0, 0.9348, 9.7023 [M-shell: 57.08, ... 74.14,
N-shell: 77.05, ... 91.36, O-shell: 85.71, ... 98.66]

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