Abstract
We present here the first experimental study of the microwave spectrum of deuterated 5-methyltropolone, a molecule which exhibits two large-amplitude motions: an intramolecular hydrogen transfer (deuterium transfer in the current case of deuterated 5-methyltropolone) and a methyl torsion. The main goal of this study was to get information on the isotopic dependence of the main tunneling parameters of 5-methyltropolone in the framework of the two dimensional tunneling formalism, which previously has shown some counterintuitive results for isotopic dependence of tunneling parameters in 2-methylmalonaldehyde. Measurements were carried out by Fourier-transform microwave spectroscopy in the 9 GHz to 26 GHz frequency range. Theoretical analysis was carried out using a tunneling-rotational Hamiltonian based on a G12m extended-group-theory formalism. Our global fit of 384 transitions to 17 molecular parameters gave a weighted root-mean-square deviation of 0.8. The current study on the isotopic dependence of the main tunneling parameters in 5-methyltropolone supports the assumption of possible “leakage” between tunneling parameters in the two-dimensional tunneling formalism in use.
Keywords: hydrogen transfer, internal rotation, large-amplitude motion, microwave spectrum, tunneling Hamiltonian, tunneling splittings
1. Introduction
About a decade ago Y.-C. Chou and J. T. Hougen showed [1] that a high-barrier tunneling formalism originally developed for methylamine [2] could be used to fit the spectra of molecules like 2-methylmalonaldehyde (2-MMA) [3] and 5-methyltropolone (5-MT) [4] where an intramolecular hydrogen transfer in one part of the molecule triggers the internal rotation of a methyl group in another part. Application of the high-barrier tunneling formalism [2] to the studies of the –OH and –OD isotopologues of 2-MMA [1,3] showed an unexpected anomaly for the CH3 internal-rotation tunneling parameters in the two species: the change in the pure torsional tunneling splitting parameter, h3v, upon deuteration of the hydroxyl H in 2-MMA was unexpectedly large, and splitting increased instead of the expected decrease [1,2]. One possible explanation proposed [4] for this counterintuitive result of the isotopic dependence on the tunneling parameter was the “leakage” of the large H-transfer tunneling splitting parameter h2v [1,2] in 2-MMA into the much smaller torsional tunneling splitting parameter h3v, caused by some “coupling” of these two motions that was not properly included in the model. From this point of view it was very interesting to look at the result of deuteration of the hydroxyl H in 5-MT. If the “leakage” hypothesis is correct, then the deuteration of the hydroxyl group in 5-MT should produce a much smaller change in the h3v parameter since the h2v/h3v ratio is only 2.2 for 5-MT compared to 188 for 2-MMA and a small leakage of one splitting parameter into the other nearly equal splitting parameter should be much less noticeable.
In this paper, we report the microwave study of the S0 state of deuterated 5-methyl tropolone, shown in Figure 1 (see Figure 1 of Ref. [4] for the equilibrium structure of 5-MT and the transition state in the tunneling path involving hydrogen transfer). The main goal of the present study is to get information on the isotopic dependence of the main tunneling parameters of 5-methyltropolone in the framework of the two dimensional tunneling formalism [2] used previously to fit the spectra of 2-MMA [1,3] and to shed more light on the anomalies in the tunneling parameters obtained for the 2-MMA molecule.
Figure 1.

Molecular structure of 5-methyltropolone (and 5-MT-OD), a seven membered “aromatic” ring which exhibits two large amplitude motions, internal rotation of the methyl group and a tautomeric proton (deuteron) transfer.
2. Experimental
5-MT is commercially unavailable and requires custom synthesis. The details of the synthesis procedure may be found in [4]. In the current study deuteration was accomplished by refluxing the normal isotope of 5-MT in D2O for several hours.
Rotational spectra were measured using two nearly identical Fourier-transform microwave spectrometers equipped with a heated reservoir nozzle [5], one at the College of Charleston (CofC), the other at NIST. Deuterated 5-methyltropolone, 5-MT-OD, was warmed to 110 ºC in a reservoir nozzle oriented parallel to the cavity axis. In this configuration, rotational linewidths are approximately 6 kHz. The 5-MT-OD vapor was expanded at a backing pressure of ~150 kPa using a 80%/20% mixture by volume of neon/helium carrier gas. The rotational temperature in the expansion under these conditions is ≈2 K. Initial searches and a part of the measurements were carried out at CofC. Measurements at NIST aimed at extending the data set to higher frequencies above 18 GHz, and aimed at recording more b-type transitions across the tunneling splittings. No previous microwave measurements for this molecule could be found in the literature.
Measurements were made in the frequency range from 9 GHz to 26 GHz and transitions up to J = 17 and Ka = 7 were observed. Some ΔK ≠ 0 transitions were clearly broadened, presumably by quadrupole or spin-spin and spin-rotation hyperfine interactions, but this broadening was not investigated in detail and these transitions were simply given an uncertainty of 10 kHz. Very weak transitions were assigned an uncertainty of 4 kHz. The normal lines were assigned an uncertainty of 2 kHz. All lines were weighted in our fits by the inverse square of their assigned uncertainties.
3. Effective Hamiltonian
We use here the same high-barrier tunneling-formalism Hamiltonian as for 2-MMA [1,3] and 5-MT [4], which is described in detail in Refs. [1,2]. Previously this formalism was successfully applied to methylamine [6,7,8,9], for which it was originally developed [2]. We also used the same fitting program, i.e., a slightly modified version [3,6] of the program obtained from N. Ohashi [10]. The reader is referred to Ref. [2] and references therein for a detailed description of this formalism. The Hamiltonian operator is defined as (we repeat here only the linear and quadratic terms which are used in the fit of 5-MT spectrum):
| (1) |
Hamiltonian matrix elements of the various operators are expanded in Fourier series whose n-th term represents a tunneling process from molecular framework 1 to molecular framework n (see [1,2] for definition of the frameworks). In the notation adopted, the subscript n = 1 corresponds to non-tunneling motion. The even subscripts n = 2, 4, 6 . . . designate tunneling involving hydroxyl hydrogen transfer which is accompanied by 60◦ internal rotation of the methyl group. The odd subscripts n = 3, 5, 7 … refer to tunneling involving only torsional motion of the methyl group. In the Hamiltonian (1), the non-tunneling value of hv corresponds to an absolute energy offset for all levels, while the tunneling values of hv represent the tunneling frequencies in the nonrotating molecule for each symmetrically inequivalent tunneling path. Thus, the parameter h2v associated with the tunneling from framework 1 to framework 2 corresponds to the hydroxyl hydrogen transfer followed by 60◦ internal rotation of the methyl group, whereas the parameter h3v associated with the tunneling from framework 1 to framework 3 corresponds to the internal rotation of the methyl group by 120◦. These two parameters, h2v and h3v, which represent the main tunneling splittings in the spectrum of 5-MT, will be in the focus of our attention from the point of view of isotopic dependence upon deuteration of the hydroxyl H atom. The physical interpretation of other Hamiltonian parameters from Eq. (1) may be found in [4].
4. Spectral fits
Since there was no previous microwave study reported for deuterated 5-MT, we had to perform an initial search for the 5-MT-OD transitions based on some assumptions. Initial values for rotational constants in our tunneling-Hamiltonian fits were taken from a low-level ab initio calculation, with the centrifugal distortion constants as well as the ρ value taken from our previous study of the normal isotopologue of 5-MT [4]. We assumed that the pure torsion parameter h3v should not change much in comparison with the normal 5-MT isotopologue [4] whereas the decrease in the hydrogen transfer tunneling parameter h2v was taken to be equal to the corresponding decrease in the case of 2-MMA [3]. The scans around initial predictions for K =0 R-type transitions revealed a sequence of multiplets, which were attributed to tunneling-split components for the deuterated 5-MT vibrational ground state. One of these multiplets is shown in Fig. 2 where the splitting pattern of the 606 – 505 transition of 5-MT-OD is compared with the corresponding splitting pattern for 5-MT-OH. The overall splitting for 5-MT-OD is observed to be slightly less than in the case of 5-MT-OH as expected (note also that the B1/B2 and E2 tunneling components are not fully resolved in the case of 5-MT-OD). After initial assignment of several K =0 R-type transitions of 5-MT-OD the usual iterative procedure of predictions and new measurements gave us the final fit described in the next paragraph.
Figure 2.

Representative tunneling splitting patterns of the 606 ← 505 microwave transition of (a) 5-MT-OD and (b) 5-MT-OH, with G12 symmetry species labels. All lines consist of Doppler doublets (e.g., the A1/A2 line at 9501.524 MHz) because the microwave radiation in the cavity propagates parallel and antiparallel to the unidirectional molecular beam. In addition, each transition has four components because of the interplay of hydrogen-transfer and internal-rotation tunneling splittings in this molecule. Note that in the case of 5-MT-OD the B1/B2 and E2 tunneling components are not fully resolved.
A final least-squares fit of 384 5-MT-OD transitions to 17 parameters was carried out, giving a root-mean-square (rms) deviation of 2.8 kHz. The list of measured rotationalx transitions in the ground vibrational state of 5-MT-OD is deposited in the supplementary material. The data set contains 320 ΔK = 0 and 27 ΔK = 2 a-type transitions, which connect energy levels within each vibrational tunneling state, as well as 37 |ΔK| = 1 b-type transitions, which go across the tunneling splittings, as shown in Fig. 3. The diagram in Fig. 3 shows the position of 5-MT-OD relative to other molecules exhibiting a methyl-group rotation triggered by some back-and-forth large-amplitude motion elsewhere in the molecule (see Ref. [4] for a detailed discussion of the concept of this diagram). The ΔK ≠ 0 transitions include 17 Q-branch lines. The transitions are evenly distributed among the four symmetry-related species of the molecule. Thus, the current dataset for 5-MT-OD contains the same types of transitions as the dataset for the normal isotopologue [4], including |ΔK| = 1 b-type transitions, which go across the tunneling splittings, and thus are crucial for precise determination of the h2v and h3v parameters associated with the hydrogen transfer and torsion tunneling processes. All these data are fit to a weighted rms deviation of 0.8, which from our point of view is excellent.
Figure 3.

Schematic illustration of energy level splittings arising from a back-and-forth large amplitude tunneling motion and an internal-rotation large amplitude tunneling motion, according to Eqs. (5) of [1]. The diagram has been drawn with unitless abscissa and ordinate, obtained by dividing both scales by h2v + h3v. The detailed description of this type of diagram may be found in Ref. [4]. Markers at the top of the diagram indicate the position along the abscissa appropriate for -OD and –OH isotopologues of 5-MT, as well as positions appropriate for -OD and –OH isotopologues of 2-methylmalonaldehyde [1,3], and for the ground [6] and first excited [9] torsional states of methylamine. Note that the unitless energies in this figure must be multiplied by h2v + h3v, and that the values of these two parameters for these examples are either both positive or both negative, so the denominators are never zero. Vertical arrows and their associated integers indicate the number of vE2 – vE1 and vB1 – vA1 b-type transitions of the -OD isotopologue of 5-MT observed in this work.
The molecular parameters from our final fit are shown in Table 1, where molecular parameters of the normal 5-MT isotopologue from Ref. [4] are also given for comparison. The left column contains linear combinations of the three usual rotational constants, the five quartic centrifugal distortion constants, an off-diagonal rotational constant s1 (see Eq. (1)), and the value of the usual internal-rotation moment-of-inertia ratio ρ. The right column contains parameters associated with the large-amplitude tunneling motions. The parameters hnv for n = 2 and 4 represent the nearest-neighbor and next-next-nearest neighbor tunneling frequencies associated with the D-transfer (or H-transfer in the case of the normal 5-MT isotopologue) motion plus corrective internal rotation. Table 1 shows that |h2v|/|h4v| ≈ 1839, very close to the corresponding value of |h2v|/|h4v| ≈ 1800 in 5-MT-OH, and this large ratio justifies the high-barrier tunneling formalism used here. Also, it is observed that deuteration decreases all hnv parameters connected with n = 2 or 4 by at least an order of magnitude which is intuitively clear due to the increase in the effective mass participating in the tunneling motion associated with these parameters. The parameter hnv for n = 3 represents the next-nearest-neighbor tunneling frequency associated with the pure internal rotation motion of the methyl group. As a final point, we note in passing, as in the case of 5-MT-OH, that no parameters of the type qn occur in Table 1 for 5-MT-OD. Thus, we have almost the same set of parameters for the 5-MT-OH and 5-MT-OD species. At the same time, it should be noted, presumably because of a smaller dataset for 5-MT-OD, that the f2, h3k, r3 coefficients, which are present in the parameter set for 5-MT-OH, are not determined statistically in the case of the current 5-MT-OD dataset.
Table 1.
Molecular parametersa from our least-squares fit of tunneling-rotational transitionsb in the ground vibrational state of the –OD isotopologue of 5-methyltropolone.
| Parameter | 5-MT-OD | 5-MT-OH [4] | Parameter | 5-MT-OD | 5-MT-OH [4] |
|---|---|---|---|---|---|
| A – | 1857.30365(37) | 1847.451966(30) | h2v | −30.07307(27) | −654.950244(65) |
| 852.069155(16) | 865.6481269(64) | h2j | 0.0000414(21) | 0.00044662(71) | |
| (B – C)/4 | 64.294341(11) | 66.2152443(25) | h2k | 0.000445(42) | 0.0090457(54) |
| s1 | 16.27485(88) | 12.396601(28) | f2 | - | −0.00013847(46) |
| ρ | 0.0170663(40) | 0.017096909(29) | h4v | 0.01630(12) | 0.362221(25) |
| DJ ×104 | 0.15012(70) | 0.15669(29) | h3v | −287.756(68) | −295.0732(19) |
| DJK ×104 | 0.4259(75) | 0.4062(13) | h3j | −0.0001118(36) | −0.0001171(15) |
| DK ×104 | 4.15(32) | 2.353(11) | h3k | - | −0.0001221(93) |
| δJ ×104 | −0.04280(39) | −0.04437(14) | f3 | −0.0000242(27) | −0.00002720(74) |
| δK ×104 | −0.541(13) | −0.5103(36) | r3 | - | 0.02555(34) |
| # of linesc | 384 | 1015 | rms | 0.0028 | 0.0015 |
Numbers in parentheses denote one standard deviation (type A, k = 1) [11] and apply to the last digits of the parameters. All parameters and the root-mean-square deviation (rms) of the fit are in MHz, except for ρ, which is unitless. .
Transition frequencies used in the fit are given in the supplemental material.
Number of transitions included in the fit.
5. Discussion
The studies of the –OH and –OD isotopologues of 2-methylmalonaldehyde [1,3] using the two-dimensional high barrier tunneling formalism developed for methylamine by Ohashi and Hougen [2] revealed an unexpected problem with the methyl torsion tunneling parameter h3v which is associated with the pure torsional A-E splitting in the spectrum. The change from -111.5 MHz to -348.2 MHz [3] upon deuteration of the hydroxyl H in 2-MMA represents a significant increase of the pure torsional splitting 3|h3v| and seems to be unexpectedly large and in the “wrong” direction. It is expected that deuteration at a position far removed from methyl torsion would have a rather small effect on the pure torsion barrier height. In addition, making the molecule heavier upon deuteration should result in a decrease in the A-E splitting because of the increase in the effective mass of the motion.
One possible explanation proposed [4] for these counterintuitive results of the isotopic dependence of torsion tunneling parameters in 2-MMA was the “leakage” of the large H-transfer tunneling splitting parameter h2v into the much smaller torsional tunneling splitting parameter h3v, caused by some “coupling” of these two motions that was not properly included in the model. From this point of view it was interesting to look at the effect of deuteration of the hydroxyl H in 5-MT on the h3v parameter associated with the pure torsion motion in this molecule. As is seen from Table 1, the h3v parameter changed rather insignificantly from −295.0 MHz in the case of the –OH isotopologue to −287.7 MHz for the –OD isotopologue. Thus, for 5-MT we observe intuitively “correct” behavior of the h3v parameter. This result supports the “leakage” hypothesis [4] according to which deuteration of the hydroxyl group in 5-MT should produce a much smaller change in the h3v parameter since the h2v/h3v ratio is only 2.2 for 5-MT compared to 188 for 2-MMA and a small leakage of one splitting parameter into the other nearly equal splitting parameter should be much less noticeable.
This “leakage” hypothesis has recently received some theoretical consideration [12] (developed by Ohashi and Hougen) which connects the “leakage” problem to the non-orthogonality of the vibrational basis set functions used in the high-barrier tunneling formalism [2]. According to this theoretical treatment [12], tunneling parameters h2v and h3v obtained from a fit are connected with the physically meaningful «true» tunneling matrix elements <1||hv||2> and <1||hv||3> defined in terms of basis functions strictly localized near a given framework by the following approximate relations:
| (2) |
| (3) |
where Δ1 = <1|2>, Δ2=<1|3> are corresponding tunneling overlap integrals; and <1||hv||s> = <1|hv – h0|s> (s = 2, 3), is a modified tunneling matrix element independent of any constant shift in the energy origin (h0 = <1|hv|1>). From Eqs. (2) and (3) it is seen that h2v parameter contains the contribution from <1||hv||3> «true» tunneling matrix element and h3v parameter contains the contribution from <1||hv||2> «true» tunneling matrix element which are proportional Δ1 tunneling overlap integral. It is these contributions we call here «leakage» of one tunneling splitting parameter into another tunneling splitting parameter. These contributions become possible because of nonzero tunneling overlap integrals Δi which means that the set of framework functions {|i>}, which represents the same vibrational state localized on each of the frameworks i for i = 1, 2, 3,…, is not an orthonormal set (since the overlap integrals <i|j> with i ≠ j are not zero). Thus it can be said that the “leakage” problem is produced by the non-orthogonality of the vibrational basis set functions used in the high-barrier tunneling formalism. The readers are referred to Ref.[12] for more comprehensive discussion of cross-contamination of the fitting parameters in tunneling treatments.
8. Conclusions
We have observed for the first time the rotational spectra of the -OD isotopologue of 5-methyltropolone. The 384 microwave lines of 5-MT-OD measured and fit to experimental error in this work have confirmed one more time the ability of the high barrier tunneling formalism [2] to handle microwave measurements at the kHz level of accuracy. In contrast to the case of the 2-methylmalonaldehyde [1,3] the results for the isotopic dependence of the main tunneling parameters upon hydroxyl H deuteration in 5-MT revealed no counterintuitive behavior of the h3v parameter associated with the pure torsional large amplitude motion in this molecule. This result supports the “leakage” explanation of the 2-MMA anomaly [4] according to which deuteration of the hydroxyl group in 5-MT should produce a much smaller change in the h3v parameter in comparison with the 2-MMA case [1,3] since the h2v/h3v ratio is only 2.2 for 5-MT compared to 188 for 2-MMA and a small leakage of one splitting parameter into the other nearly equal splitting parameter should be much less noticeable.
Acknowledgments
V.V.I. thanks NIST for financial support during a 1-month Guest Worker visit in 2016. RJL acknowledges the financial support of the College of Charleston, Research Corporation (Single-Investigator Cottrell Science Award), and a grant to the College of Charleston from the Howard Hughes Medical Institute (52007537) through the Undergraduate Science Education Program. The authors also wish to thank Dr. Jon T. Hougen for helpful scientific discussions and persistent interest in this study.
Appendix A. Supplementary Data
Table S1.
Measured rotational transitions of deuterated 5-methyltropolone in the ground vibrational state.
| J | Ka | Sym | J’ | Ka | ‘Sym’ | Unc(MHz) | Measured(MHz) | o.-c.(MHz) |
|---|---|---|---|---|---|---|---|---|
| 6 | 0 | E2+1 | 5 | 0 | E2+1 | 0.0020 | 9501.2421 | −0.0021 |
| 6 | 0 | B1 | 5 | 0 | B2 | 0.0020 | 9501.2421 | −0.0067 |
| 6 | 0 | E1+1 | 5 | 0 | E1+1 | 0.0020 | 9501.3599 | −0.0028 |
| 6 | 0 | A1 | 5 | 0 | A2 | 0.0020 | 9501.5246 | −0.0020 |
| 7 | 2 | E1-1 | 7 | 0 | E1+1 | 0.0100 | 9597.2597 | 0.0075 |
| 7 | 2 | E2+1 | 7 | 0 | E2+1 | 0.0100 | 9597.4853 | 0.0065 |
| 7 | 2 | A1 | 7 | 0 | A2 | 0.0100 | 9599.5398 | 0.0047 |
| 7 | 2 | B1 | 7 | 0 | B2 | 0.0100 | 9600.0885 | 0.0050 |
| 6 | 2 | B2 | 5 | 2 | B1 | 0.0020 | 10105.1350 | −0.0009 |
| 6 | 2 | A2 | 5 | 2 | A1 | 0.0020 | 10105.2840 | −0.0017 |
| 6 | 2 | E2+1 | 5 | 2 | E2+1 | 0.0020 | 10105.7480 | 0.0000 |
| 6 | 2 | E1-1 | 5 | 2 | E1-1 | 0.0020 | 10105.9640 | 0.0002 |
| 6 | 4 | B1 | 5 | 4 | B2 | 0.0020 | 10316.4570 | 0.0011 |
| 6 | 4 | A1 | 5 | 4 | A2 | 0.0020 | 10316.5680 | −0.0010 |
| 6 | 3 | A1 | 5 | 3 | A2 | 0.0020 | 10326.5933 | −0.0006 |
| 6 | 3 | B1 | 5 | 3 | B2 | 0.0020 | 10326.7090 | −0.0001 |
| 6 | 3 | E1+1 | 5 | 3 | E1+1 | 0.0020 | 10342.4800 | 0.0009 |
| 6 | 3 | E2-1 | 5 | 3 | E2-1 | 0.0020 | 10344.2910 | −0.0004 |
| 6 | 3 | E2+1 | 5 | 3 | E2+1 | 0.0020 | 10401.1690 | 0.0003 |
| 6 | 3 | E1-1 | 5 | 3 | E1-1 | 0.0020 | 10402.8740 | −0.0024 |
| 6 | 3 | A2 | 5 | 3 | A1 | 0.0020 | 10418.6103 | 0.0007 |
| 6 | 3 | B2 | 5 | 3 | B1 | 0.0020 | 10418.7030 | 0.0011 |
| 8 | 2 | E1-1 | 8 | 0 | E1+1 | 0.0100 | 10568.8628 | 0.0070 |
| 8 | 2 | E2+1 | 8 | 0 | E2+1 | 0.0100 | 10569.2094 | 0.0072 |
| 8 | 2 | A2 | 8 | 0 | A1 | 0.0100 | 10570.9914 | 0.0050 |
| 6 | 1 | E2+1 | 5 | 1 | E2+1 | 0.0020 | 10733.3220 | −0.0025 |
| 6 | 1 | A2 | 5 | 1 | A1 | 0.0020 | 10733.3490 | −0.0004 |
| 6 | 1 | B2 | 5 | 1 | B1 | 0.0020 | 10733.4620 | −0.0020 |
| 7 | 1 | E1+1 | 6 | 1 | E1+1 | 0.0020 | 10772.2099 | −0.0010 |
| 7 | 1 | A2 | 6 | 1 | A1 | 0.0020 | 10772.2384 | 0.0009 |
| 7 | 1 | E2-1 | 6 | 1 | E2-1 | 0.0020 | 10772.3676 | −0.0001 |
| 7 | 1 | B2 | 6 | 1 | B1 | 0.0020 | 10772.7371 | 0.0011 |
| 6 | 2 | E1+1 | 5 | 2 | E1+1 | 0.0020 | 10823.7086 | −0.0010 |
| 6 | 2 | E2-1 | 5 | 2 | E2-1 | 0.0020 | 10823.8231 | 0.0003 |
| 6 | 2 | B1 | 5 | 2 | B2 | 0.0020 | 10824.3160 | 0.0030 |
| 6 | 2 | A1 | 5 | 2 | A2 | 0.0020 | 10824.3638 | −0.0014 |
| 7 | 0 | B2 | 6 | 0 | B1 | 0.0020 | 10924.7157 | −0.0018 |
| 7 | 0 | E2+1 | 6 | 0 | E2+1 | 0.0020 | 10924.9083 | −0.0015 |
| 7 | 0 | E1+1 | 6 | 0 | E1+1 | 0.0020 | 10925.0686 | −0.0008 |
| 7 | 0 | A2 | 6 | 0 | A1 | 0.0020 | 10925.2276 | −0.0012 |
| 7 | 2 | B1 | 6 | 2 | B2 | 0.0020 | 11724.8296 | −0.0008 |
| 7 | 2 | A1 | 6 | 2 | A2 | 0.0020 | 11725.0166 | 0.0007 |
| 7 | 2 | E2+1 | 6 | 2 | E2+1 | 0.0020 | 11725.0898 | 0.0007 |
| 7 | 2 | E1-1 | 6 | 2 | E1-1 | 0.0020 | 11725.2436 | −0.0009 |
| 7 | 3 | A2 | 6 | 3 | A1 | 0.0020 | 12055.3448 | −0.0008 |
| 7 | 3 | B2 | 6 | 3 | B1 | 0.0020 | 12055.4812 | −0.0003 |
| 7 | 4 | B1 | 6 | 4 | B2 | 0.0020 | 12055.9846 | 0.0014 |
| 7 | 4 | A1 | 6 | 4 | A2 | 0.0020 | 12056.1118 | −0.0011 |
| 7 | 4 | E2+1 | 6 | 4 | E2+1 | 0.0020 | 12061.3649 | 0.0028 |
| 7 | 4 | E1-1 | 6 | 4 | E1-1 | 0.0020 | 12061.4995 | −0.0021 |
| 7 | 4 | E1+1 | 6 | 4 | E1+1 | 0.0020 | 12061.6303 | −0.0023 |
| 7 | 4 | E2-1 | 6 | 4 | E2-1 | 0.0020 | 12061.6450 | 0.0011 |
| 7 | 3 | E1+1 | 6 | 3 | E1+1 | 0.0020 | 12064.3133 | 0.0008 |
| 7 | 4 | B2 | 6 | 4 | B1 | 0.0020 | 12066.8691 | 0.0005 |
| 7 | 4 | A2 | 6 | 4 | A1 | 0.0020 | 12066.9960 | 0.0015 |
| 8 | 0 | E2+1 | 7 | 1 | E2-1 | 0.0040 | 12166.5369 | 0.0000 |
| 8 | 0 | B1 | 7 | 1 | B2 | 0.0040 | 12222.7412 | −0.0001 |
| 7 | 3 | E2+1 | 6 | 3 | E2+1 | 0.0020 | 12242.0890 | 0.0000 |
| 7 | 3 | E1-1 | 6 | 3 | E1-1 | 0.0020 | 12243.7513 | −0.0002 |
| 8 | 1 | E1+1 | 7 | 1 | E1+1 | 0.0020 | 12247.6377 | −0.0004 |
| 8 | 1 | A1 | 7 | 1 | A2 | 0.0020 | 12247.6998 | −0.0018 |
| 8 | 1 | E2-1 | 7 | 1 | E2-1 | 0.0020 | 12247.8982 | 0.0007 |
| 8 | 1 | B1 | 7 | 1 | B2 | 0.0020 | 12250.4027 | 0.0004 |
| 7 | 3 | A1 | 6 | 3 | A2 | 0.0020 | 12252.5139 | −0.0001 |
| 7 | 3 | B1 | 6 | 3 | B2 | 0.0020 | 12252.6019 | −0.0005 |
| 8 | 0 | B1 | 7 | 0 | B2 | 0.0020 | 12343.9429 | 0.0000 |
| 8 | 0 | E2+1 | 7 | 0 | E2+1 | 0.0020 | 12346.2586 | −0.0006 |
| 8 | 0 | E1+1 | 7 | 0 | E1+1 | 0.0020 | 12346.5222 | −0.0004 |
| 8 | 0 | A1 | 7 | 0 | A2 | 0.0020 | 12346.6563 | 0.0003 |
| 8 | 1 | B1 | 7 | 0 | B2 | 0.0020 | 12371.6030 | −0.0009 |
| 7 | 1 | E1-1 | 6 | 1 | E1-1 | 0.0020 | 12373.8415 | −0.0019 |
| 7 | 1 | E2+1 | 6 | 1 | E2+1 | 0.0020 | 12373.9194 | −0.0013 |
| 7 | 1 | A1 | 6 | 1 | A2 | 0.0020 | 12373.9642 | −0.0039 |
| 7 | 1 | B1 | 6 | 1 | B2 | 0.0020 | 12374.1253 | −0.0045 |
| 8 | 1 | E2-1 | 7 | 0 | E2+1 | 0.0040 | 12427.6198 | 0.0000 |
| 7 | 3 | E2-1 | 7 | 1 | E2+1 | 0.0040 | 12547.5998 | 0.0015 |
| 7 | 3 | A2 | 7 | 1 | A1 | 0.0040 | 12560.1120 | −0.0011 |
| 7 | 3 | B2 | 7 | 1 | B1 | 0.0040 | 12560.2704 | 0.0014 |
| 8 | 1 | A1 | 7 | 0 | A2 | 0.0040 | 12606.7889 | −0.0013 |
| 3 | 2 | A2 | 2 | 0 | A1 | 0.0100 | 12701.2039 | 0.0137 |
| 3 | 2 | E2-1 | 2 | 0 | E2+1 | 0.0100 | 12707.0156 | 0.0006 |
| 7 | 2 | E1+1 | 6 | 2 | E1+1 | 0.0020 | 12716.5030 | −0.0002 |
| 7 | 2 | E2-1 | 6 | 2 | E2-1 | 0.0020 | 12716.5312 | −0.0012 |
| 7 | 2 | B2 | 6 | 2 | B1 | 0.0020 | 12716.7044 | 0.0010 |
| 7 | 2 | A2 | 6 | 2 | A1 | 0.0020 | 12716.7665 | −0.0013 |
| 6 | 3 | E2-1 | 6 | 1 | E2+1 | 0.0040 | 12855.4340 | 0.0036 |
| 6 | 3 | A1 | 6 | 1 | A2 | 0.0040 | 12878.7355 | −0.0001 |
| 6 | 3 | B1 | 6 | 1 | B2 | 0.0100 | 1287B.9199 | 0.0026 |
| 5 | 3 | A2 | 5 | 1 | A1 | 0.0100 | 13285.4844 | −0.0067 |
| 8 | 2 | B2 | 7 | 2 | B1 | 0.0020 | 13317.8830 | 0.0014 |
| 8 | 2 | E2+1 | 7 | 2 | E2+1 | 0.0020 | 13317.9810 | −0.0016 |
| 8 | 2 | A2 | 7 | 2 | A1 | 0.0020 | 13318.1070 | −0.0003 |
| 8 | 2 | E1-1 | 7 | 2 | E1-1 | 0.0020 | 13318.1310 | 0.0048 |
| 4 | 2 | A1 | 3 | 1 | A2 | 0.0100 | 13416.9299 | 0.0038 |
| 11 | 1 | A1 | 11 | 1 | A2 | 0.0100 | 13586.2594 | 0.0051 |
| 11 | 1 | E2+1 | 11 | 1 | E2-1 | 0.0100 | 13586.6790 | 0.0065 |
| 4 | 2 | E2-1 | 3 | 1 | E2-1 | 0.0100 | 13598.5843 | 0.0078 |
| 9 | 0 | E2+1 | 8 | 1 | E2-1 | 0.0020 | 13691.0150 | 0.0014 |
| 9 | 1 | B2 | 8 | 1 | B1 | 0.0020 | 13707.8828 | −0.0001 |
| 9 | 1 | E1+1 | 8 | 1 | E1+1 | 0.0020 | 13712.9285 | 0.0016 |
| 9 | 1 | A2 | 8 | 1 | A1 | 0.0020 | 13713.0227 | 0.0007 |
| 9 | 1 | E2-1 | 8 | 1 | E2-1 | 0.0020 | 13713.8861 | 0.0004 |
| 4 | 3 | B1 | 4 | 1 | B2 | 0.0020 | 13718.5020 | −0.0062 |
| 9 | 1 | B2 | 8 | 0 | B1 | 0.0020 | 13735.5450 | 0.0011 |
| 9 | 0 | B2 | 8 | 1 | B1 | 0.0020 | 13750.9080 | −0.0002 |
| 8 | 5 | A1 | 7 | 5 | A2 | 0.0020 | 13762.1070 | 0.0004 |
| 8 | 5 | B1 | 7 | 5 | B2 | 0.0020 | 13762.2570 | 0.0006 |
| 8 | 5 | E1-1 | 7 | 5 | E1-1 | 0.0020 | 13762.5031 | −0.0028 |
| 8 | 5 | E2+1 | 7 | 5 | E2+1 | 0.0020 | 13762.5480 | 0.0000 |
| 8 | 5 | E1+1 | 7 | 5 | E1+1 | 0.0040 | 13762.8504 | −0.0007 |
| 8 | 5 | E2-1 | 7 | 5 | E2-1 | 0.0020 | 13762.9580 | −0.0009 |
| 6 | 2 | A2 | 5 | 1 | A1 | 0.0100 | 13762.9753 | −0.0073 |
| 8 | 5 | A2 | 7 | 5 | A1 | 0.0020 | 13763.0870 | 0.0001 |
| 8 | 5 | B2 | 7 | 5 | B1 | 0.0020 | 13763.2360 | −0.0002 |
| 9 | 0 | E2+1 | 8 | 0 | E2+1 | 0.0020 | 13772.3724 | −0.0018 |
| 9 | 0 | E1+1 | 8 | 0 | E1+1 | 0.0020 | 13773.3356 | −0.0010 |
| 9 | 0 | A2 | 8 | 0 | A1 | 0.0020 | 13773.4426 | 0.0024 |
| 8 | 3 | A1 | 7 | 3 | A2 | 0.0020 | 13774.3737 | −0.0010 |
| 8 | 3 | B1 | 7 | 3 | B2 | 0.0020 | 13774.5334 | −0.0011 |
| 8 | 3 | E1+1 | 7 | 3 | E1+1 | 0.0020 | 13778.1518 | 0.0010 |
| 9 | 0 | B2 | 8 | 0 | B1 | 0.0020 | 13778.5739 | 0.0047 |
| 8 | 3 | E2-1 | 7 | 3 | E2-1 | 0.0020 | 13779.0637 | 0.0012 |
| 9 | 1 | E2-1 | 8 | 0 | E2+1 | 0.0020 | 13795.2460 | −0.0003 |
| 8 | 4 | B2 | 7 | 4 | B1 | 0.0020 | 13806.7430 | −0.0011 |
| 8 | 4 | A2 | 7 | 4 | A1 | 0.0020 | 13806.8879 | −0.0006 |
| 8 | 4 | E2+1 | 7 | 4 | E2+1 | 0.0020 | 13818.6918 | 0.0009 |
| 8 | 4 | E1-1 | 7 | 4 | E1-1 | 0.0020 | 13819.1150 | 0.0004 |
| 6 | 2 | E1-1 | 5 | 1 | E1-1 | 0.0100 | 13820.3269 | −0.0124 |
| 8 | 4 | E1+1 | 7 | 4 | E1+1 | 0.0020 | 13824.0086 | −0.0004 |
| 8 | 4 | E2-1 | 7 | 4 | E2-1 | 0.0020 | 13824.2924 | −0.0003 |
| 8 | 4 | B1 | 7 | 4 | B2 | 0.0020 | 13836.0416 | −0.0008 |
| 8 | 4 | A1 | 7 | 4 | A2 | 0.0020 | 13836.1757 | −0.0011 |
| 8 | 1 | E1-1 | 7 | 1 | E1-1 | 0.0020 | 13937.9102 | −0.0033 |
| 8 | 1 | E2+1 | 7 | 1 | E2+1 | 0.0020 | 13938.0191 | −0.0014 |
| 8 | 1 | A2 | 7 | 1 | A1 | 0.0020 | 13938.0996 | −0.0027 |
| 8 | 1 | B2 | 7 | 1 | B1 | 0.0020 | 13938.3218 | −0.0014 |
| 6 | 2 | E2+1 | 5 | 1 | E2+1 | 0.0100 | 13940.4994 | −0.0142 |
| 6 | 2 | B2 | 5 | 1 | B1 | 0.0100 | 14002.6858 | −0.0090 |
| 8 | 3 | E2+1 | 7 | 3 | E2+1 | 0.0020 | 14134.8001 | −0.0010 |
| 8 | 3 | E1-1 | 7 | 3 | E1-1 | 0.0020 | 14135.5964 | 0.0040 |
| 8 | 3 | A2 | 7 | 3 | A1 | 0.0020 | 14139.1105 | 0.0005 |
| 8 | 3 | B2 | 7 | 3 | B1 | 0.0020 | 14139.1858 | −0.0016 |
| 3 | 3 | B2 | 2 | 2 | B1 | 0.0020 | 14270.6144 | 0.0000 |
| 3 | 3 | B1 | 2 | 2 | B2 | 0.0020 | 14298.9193 | 0.0022 |
| 3 | 3 | E2-1 | 2 | 2 | E2+1 | 0.0040 | 14322.0574 | −0.0037 |
| 3 | 3 | E2+1 | 2 | 2 | E2-1 | 0.0040 | 14361.8413 | −0.0004 |
| 3 | 3 | E1+1 | 2 | 2 | E1-1 | 0.0100 | 14451.3165 | 0.0011 |
| 3 | 3 | E1-1 | 2 | 2 | E1+1 | 0.0100 | 14473.0498 | 0.0035 |
| 3 | 3 | A2 | 2 | 2 | A1 | 0.0040 | 14510.7472 | −0.0008 |
| 3 | 3 | A1 | 2 | 2 | A2 | 0.0020 | 14539.0470 | 0.0004 |
| 8 | 2 | E2-1 | 7 | 2 | E2-1 | 0.0020 | 14573.7715 | −0.0006 |
| 8 | 2 | E1+1 | 7 | 2 | E1+1 | 0.0020 | 14573.7863 | 0.0008 |
| 8 | 2 | B1 | 7 | 2 | B2 | 0.0020 | 14573.8502 | −0.0007 |
| 8 | 2 | A1 | 7 | 2 | A2 | 0.0020 | 14573.9371 | −0.0014 |
| 4 | 2 | B1 | 3 | 0 | B2 | 0.0040 | 14738.9745 | 0.0044 |
| 4 | 2 | A1 | 3 | 0 | A2 | 0.0040 | 14739.0290 | 0.0137 |
| 4 | 2 | E2-1 | 3 | 0 | E2+1 | 0.0100 | 14139.7467 | 0.0049 |
| 4 | 2 | E1+1 | 3 | 0 | E1+1 | 0.0100 | 14740.4235 | 0.0050 |
| 9 | 2 | B1 | 8 | 2 | B2 | 0.0020 | 14883.6763 | −0.0014 |
| 9 | 2 | E2+1 | 8 | 2 | E2+1 | 0.0020 | 14883.6891 | 0.0006 |
| 9 | 2 | E1-1 | 8 | 2 | E1-1 | 0.0020 | 14883.8378 | −0.0015 |
| 9 | 2 | A1 | 8 | 2 | A2 | 0.0020 | 14883.9486 | −0.0003 |
| 10 | 1 | B1 | 9 | 0 | B2 | 0.0020 | 15129.1240 | 0.0001 |
| 10 | 1 | E2-1 | 9 | 1 | E2-1 | 0.0020 | 15168.3317 | 0.0028 |
| 10 | 1 | E1+1 | 9 | 1 | E1+1 | 0.0020 | 15171.1365 | −0.0007 |
| 10 | 1 | A1 | 9 | 1 | A2 | 0.0020 | 15171.2500 | 0.0016 |
| 10 | 1 | B1 | 9 | 1 | B2 | 0.0020 | 15172.1485 | −0.0007 |
| 10 | 0 | E2+1 | 9 | 1 | E2-1 | 0.0020 | 15186.4796 | −0.0008 |
| 10 | 1 | E2-1 | 9 | 0 | E2+1 | 0.0020 | 15191.2017 | 0.0008 |
| 10 | 0 | B1 | 9 | 0 | B2 | 0.0020 | 15205.7246 | −0.0001 |
| 10 | 0 | E1+1 | 9 | 0 | E1+1 | 0.0020 | 15206.5483 | 0.0014 |
| 10 | 0 | A1 | 9 | 0 | A2 | 0.0020 | 15206.6332 | 0.0005 |
| 10 | 0 | E2+1 | 9 | 0 | E2+1 | 0.0020 | 15209.3535 | 0.0011 |
| 10 | 0 | B1 | 9 | 1 | B2 | 0.0020 | 15248.7522 | 0.0023 |
| 9 | 1 | E1-1 | 8 | 1 | E1-1 | 0.0020 | 15426.7770 | 0.0007 |
| 9 | 1 | A1 | 8 | 1 | A2 | 0.0020 | 15427.0200 | −0.0042 |
| 9 | 1 | B1 | 8 | 1 | B2 | 0.0020 | 15427.3100 | −0.0024 |
| 9 | 7 | A2 | 8 | 7 | A1 | 0.0100 | 15443.3605 | 0.0020 |
| 9 | 7 | A1 | 8 | 7 | A2 | 0.0100 | 15443.3605 | 0.0010 |
| 9 | 7 | E1-1 | 8 | 7 | E1-1 | 0.0100 | 15443.3605 | −0.0018 |
| 9 | 7 | E2+1 | 8 | 7 | E2+1 | 0.0100 | 15443.4168 | −0.0034 |
| 9 | 7 | E1+1 | 8 | 7 | E1+1 | 0.0100 | 15443.5155 | −0.0023 |
| 9 | 7 | B2 | 8 | 7 | B1 | 0.0100 | 15443.5346 | 0.0017 |
| 9 | 7 | B1 | 8 | 7 | B2 | 0.0100 | 15443.5346 | 0.0008 |
| 9 | 7 | E2-1 | 8 | 7 | E2-1 | 0.0100 | 15443.6293 | −0.0054 |
| 9 | 6 | E2-1 | 8 | 6 | E2-1 | 0.0020 | 15468.5650 | −0.0004 |
| 9 | 6 | E1+1 | 8 | 6 | E1+1 | 0.0020 | 15468.6160 | −0.0019 |
| 9 | 6 | A1 | 8 | 6 | A2 | 0.0020 | 15468.7430 | −0.0030 |
| 9 | 6 | E2+1 | 8 | 6 | E2+1 | 0.0020 | 15468.8400 | 0.0038 |
| 9 | 6 | E1-1 | 8 | 6 | E1-1 | 0.0020 | 15468.9540 | −0.0005 |
| 9 | 3 | A2 | 8 | 3 | A1 | 0.0020 | 15477.2160 | −0.0007 |
| 9 | 3 | B2 | 8 | 3 | B1 | 0.0020 | 15477.4040 | −0.0005 |
| 9 | 3 | E1+1 | 8 | 3 | E1+1 | 0.0020 | 15478.8510 | 0.0003 |
| 9 | 3 | E2-1 | 8 | 3 | E2-1 | 0.0020 | 15479.3140 | 0.0009 |
| 12 | 2 | E2+1 | 12 | 0 | E2+1 | 0.0040 | 15537.8183 | 0.0039 |
| 12 | 2 | A2 | 12 | 0 | A1 | 0.0040 | 15541.9590 | −0.0001 |
| 9 | 4 | B1 | 8 | 4 | B2 | 0.0020 | 15563.3370 | −0.0007 |
| 9 | 4 | A1 | 8 | 4 | A2 | 0.0020 | 15563.4970 | 0.0000 |
| 9 | 4 | E2+1 | 8 | 4 | E2+1 | 0.0020 | 15580.9220 | 0.0006 |
| 9 | 4 | E1-1 | 8 | 4 | E1-1 | 0.0020 | 15582.3490 | 0.0022 |
| 9 | 4 | E1+1 | 8 | 4 | E1+1 | 0.0020 | 15612.8020 | 0.0002 |
| 9 | 4 | E2-1 | 8 | 4 | E2-1 | 0.0020 | 15614.0780 | −0.0004 |
| 9 | 4 | B2 | 8 | 4 | B1 | 0.0020 | 15631.4170 | 0.0052 |
| 9 | 4 | A2 | 8 | 4 | A1 | 0.0020 | 15631.5470 | −0.0014 |
| 4 | 3 | B1 | 3 | 2 | B2 | 0.0040 | 15918.5493 | −0.0003 |
| 4 | 3 | B2 | 3 | 2 | B1 | 0.0040 | 16061.6128 | 0.0024 |
| 9 | 3 | E2+1 | 8 | 3 | E2+1 | 0.0020 | 16071.4630 | −0.0007 |
| 9 | 3 | E1-1 | 8 | 3 | E1-1 | 0.0020 | 16071.7970 | −0.0001 |
| 9 | 3 | A1 | 8 | 3 | A2 | 0.0020 | 16073.1390 | 0.0011 |
| 9 | 3 | B1 | 8 | 3 | B2 | 0.0020 | 16073.2030 | −0.0001 |
| 5 | 2 | A2 | 4 | 1 | A1 | 0.0100 | 16086.5265 | 0.0106 |
| 4 | 3 | A1 | 3 | 2 | A2 | 0.0020 | 16158.5572 | −0.0001 |
| 5 | 2 | E2-1 | 4 | 1 | E2-1 | 0.0100 | 16266.4568 | 0.0115 |
| 4 | 3 | A2 | 3 | 2 | A1 | 0.0040 | 16301.6051 | 0.0059 |
| 9 | 2 | E2-1 | 8 | 2 | E2-1 | 0.0020 | 16377.8770 | −0.0007 |
| 9 | 2 | E1+1 | 8 | 2 | E1+1 | 0.0020 | 16377.9220 | −0.0005 |
| 9 | 2 | A2 | 8 | 2 | A1 | 0.0020 | 16378.0830 | 0.0000 |
| 10 | 2 | E2+1 | 9 | 2 | E2+1 | 0.0020 | 16423.1850 | 0.0013 |
| 10 | 2 | B2 | 9 | 2 | B1 | 0.0020 | 16423.2390 | 0.0002 |
| 10 | 2 | E1-1 | 9 | 2 | E1-1 | 0.0020 | 16423.3500 | −0.0011 |
| 10 | 2 | A2 | 9 | 2 | A1 | 0.0020 | 16423.5640 | −0.0008 |
| 11 | 1 | E2-1 | 10 | 0 | E2+1 | 0.0020 | 16607.4134 | 0.0014 |
| 11 | 1 | E1+1 | 10 | 1 | E1+1 | 0.0020 | 16624.6970 | 0.0021 |
| 11 | 1 | A2 | 10 | 1 | A1 | 0.0020 | 16624.8070 | 0.0011 |
| 11 | 1 | B2 | 10 | 1 | B1 | 0.0020 | 16625.0230 | 0.0037 |
| 11 | 1 | E2-1 | 10 | 1 | E2-1 | 0.0020 | 16625.5630 | −0.0005 |
| 11 | 0 | E2+1 | 10 | 0 | E2+1 | 0.0020 | 16643.9480 | 0.0017 |
| 11 | 0 | B2 | 10 | 0 | B1 | 0.0020 | 16644.6823 | 0.0001 |
| 11 | 0 | E1+1 | 10 | 0 | E1+1 | 0.0020 | 16644.8205 | 0.0037 |
| 11 | 0 | A2 | 10 | 0 | A1 | 0.0020 | 16644.9025 | 0.0021 |
| 11 | 0 | E2+1 | 10 | 1 | E2-1 | 0.0020 | 16662.0971 | −0.0006 |
| 10 | 1 | E1-1 | 9 | 1 | E1-1 | 0.0020 | 16858.1570 | 0 .0002 |
| 10 | 1 | E2+1 | 9 | 1 | E2+1 | 0.0020 | 16858.3290 | 0.0003 |
| 10 | 1 | A2 | 9 | 1 | A1 | 0.0020 | 16858.4310 | 0.0024 |
| 10 | 1 | B2 | 9 | 1 | B1 | 0.0020 | 16858.7870 | −0.0013 |
| 5 | 2 | E2-1 | 4 | 0 | E2+1 | 0.0100 | 17095.6569 | 0.0066 |
| 5 | 2 | E1+1 | 4 | 0 | E1+1 | 0.0100 | 17095.9258 | 0.0042 |
| 5 | 2 | A2 | 4 | 0 | A1 | 0.0100 | 17096.3233 | 0.0091 |
| 5 | 2 | B2 | 4 | 0 | B1 | 0.0100 | 17096.3586 | 0.0084 |
| 10 | 3 | A1 | 9 | 3 | A2 | 0.0020 | 17158.0680 | 0.0011 |
| 10 | 3 | B1 | 9 | 3 | B2 | 0.0020 | 17158.2880 | 0.0004 |
| 10 | 3 | E1+1 | 9 | 3 | E1+1 | 0.0020 | 17158.8240 | 0.0015 |
| 10 | 3 | E2-1 | 9 | 3 | E2-1 | 0.0020 | 17159.1050 | −0.0009 |
| 10 | 5 | A1 | 9 | 5 | A2 | 0.0020 | 17267.3330 | −0.0001 |
| 10 | 5 | B1 | 9 | 5 | B2 | 0.0020 | 17267.5110 | 0.0015 |
| 10 | 5 | E1+1 | 9 | 5 | E1+1 | 0.0020 | 17271.9050 | −0.0019 |
| 10 | 5 | E2-1 | 9 | 5 | E2-1 | 0.0020 | 17272.0730 | 0.0001 |
| 10 | 5 | A2 | 9 | 5 | A1 | 0.0020 | 17275.9800 | 0.0005 |
| 10 | 5 | B2 | 9 | 5 | B1 | 0.0020 | 17276.1510 | −0.0012 |
| 10 | 4 | B2 | 9 | 4 | B1 | 0.0020 | 17322.0330 | −0.0003 |
| 10 | 4 | A2 | 9 | 4 | A1 | 0.0020 | 17322.2090 | 0.0002 |
| 10 | 4 | E2+1 | 9 | 4 | E2+1 | 0.0020 | 17336.7670 | −0.0003 |
| 10 | 4 | E1-1 | 9 | 4 | E1-1 | 0.0020 | 17339.0800 | −0.0001 |
| 10 | 4 | E1+1 | 9 | 4 | E1+1 | 0.0020 | 17446.0870 | −0.0022 |
| 10 | 4 | E2-1 | 9 | 4 | E2-1 | 0.0020 | 17448.2510 | 0.0030 |
| 10 | 4 | B1 | 9 | 4 | B2 | 0.0020 | 17462.6670 | 0.0008 |
| 10 | 4 | A1 | 9 | 4 | A2 | 0.0020 | 17462.7960 | −0.0004 |
| 5 | 3 | A2 | 4 | 2 | A1 | 0.0040 | 17707.6526 | −0.0026 |
| 11 | 2 | E2+1 | 10 | 2 | E2+1 | 0.0020 | 17938.9940 | −0.0002 |
| 11 | 2 | B1 | 10 | 2 | B2 | 0.0020 | 17939.1080 | −0.0005 |
| 11 | 2 | E1-1 | 10 | 2 | E1-1 | 0.0020 | 17939.1850 | 0.0001 |
| 11 | 2 | A1 | 10 | 2 | A2 | 0.0020 | 17939.5150 | 0.0005 |
| 10 | 3 | E2+1 | 9 | 3 | E2+1 | 0.0020 | 18031.6350 | −0.0005 |
| 10 | 3 | E1-1 | 9 | 3 | E1-1 | 0.0020 | 18031.7760 | 0.0006 |
| 10 | 3 | A2 | 9 | 3 | A1 | 0.0020 | 18032.2490 | 0.0017 |
| 10 | 3 | B2 | 9 | 3 | B1 | 0.0020 | 18032.3060 | −0.0027 |
| 12 | 1 | E1+1 | 11 | 1 | E1+1 | 0.0020 | 18075.3480 | 0.0005 |
| 12 | 1 | A1 | 11 | 1 | A2 | 0.0020 | 18075.4530 | 0.0020 |
| 12 | 1 | E2-1 | 11 | 1 | E2-1 | 0.0020 | 18075.5110 | −0.0011 |
| 12 | 1 | B1 | 11 | 1 | B2 | 0.0020 | 18075.5270 | 0.0022 |
| 12 | 0 | E2+1 | 11 | 0 | E2+1 | 0.0020 | 18086.3479 | 0.0018 |
| 12 | 0 | E1+1 | 11 | 0 | E1+1 | 0.0020 | 18086.5128 | 0.0008 |
| 12 | 0 | B1 | 11 | 0 | B2 | 0.0020 | 18086.5281 | 0.0040 |
| 12 | 0 | A1 | 11 | 0 | A2 | 0.0020 | 18086.6003 | −0.0007 |
| 10 | 2 | E2-1 | 9 | 2 | E2-1 | 0.0020 | 18115.3530 | −0.0010 |
| 10 | 2 | E1+1 | 9 | 2 | E1+1 | 0.0020 | 18115.4320 | 0.0024 |
| 10 | 2 | B1 | 9 | 2 | B2 | 0.0020 | 18115.4940 | −0.0002 |
| 10 | 2 | A1 | 9 | 2 | A2 | 0.0020 | 18115.6640 | −0.0010 |
| 5 | 3 | A1 | 4 | 2 | A2 | 0.0100 | 18136.3054 | 0.0074 |
| 11 | 1 | E1-1 | 10 | 1 | E1-1 | 0.0020 | 18259.4810 | 0.0001 |
| 11 | 1 | E2+1 | 10 | 1 | E2+1 | 0.0020 | 18259.6820 | −0.0019 |
| 11 | 1 | A1 | 10 | 1 | A2 | 0.0020 | 18259.7160 | 0.0044 |
| 11 | 1 | B1 | 10 | 1 | B2 | 0.0020 | 18260.1580 | −0.0001 |
| 11 | 3 | A2 | 10 | 3 | A1 | 0.0020 | 18812.3460 | 0.0002 |
| 11 | 3 | B2 | 10 | 3 | B1 | 0.0020 | 18812.6040 | −0.0005 |
| 11 | 3 | E1+1 | 10 | 3 | E1+1 | 0.0020 | 18812.6970 | 0.0001 |
| 11 | 3 | E2-1 | 10 | 3 | E2-1 | 0.0020 | 18812.9130 | −0.0006 |
| 13 | 1 | E1+1 | 12 | 1 | E1+1 | 0.0020 | 19524.2677 | 0.0001 |
| 13 | 1 | E2-1 | 12 | 1 | E2-1 | 0.0020 | 19524.3205 | 0.0008 |
| 13 | 1 | A2 | 12 | 1 | A1 | 0.0020 | 19524.3646 | 0.0001 |
| 13 | 1 | B2 | 12 | 1 | B1 | 0.0020 | 19524.3980 | 0.0035 |
| 13 | 0 | E2+1 | 12 | 0 | E2+1 | 0.0020 | 19530.2958 | −0.0003 |
| 13 | 0 | E1+1 | 12 | 0 | E1+1 | 0.0020 | 19530.3522 | 0.0032 |
| 13 | 0 | B2 | 12 | 0 | B1 | 0.0020 | 19530.4104 | −0.0005 |
| 13 | 0 | A2 | 12 | 0 | A1 | 0.0020 | 19530.4448 | 0.0020 |
| 12 | 1 | E1-1 | 11 | 1 | E1-1 | 0.0020 | 19654.8517 | −0.0035 |
| 12 | 1 | A2 | 11 | 1 | A1 | 0.0020 | 19654.9197 | −0.0019 |
| 12 | 1 | E2+1 | 11 | 1 | E2+1 | 0.0020 | 19655.0937 | −0.0015 |
| 12 | 1 | B2 | 11 | 1 | B1 | 0.0020 | 19655.5377 | −0.0008 |
| 14 | 1 | E1+1 | 13 | 1 | E1+1 | 0.0020 | 20972.1970 | −0.0013 |
| 14 | 1 | E2-1 | 13 | 1 | E2-1 | 0.0020 | 20972.2194 | 0.0015 |
| 14 | 1 | A1 | 13 | 1 | A2 | 0.0020 | 20972.2905 | −0.0010 |
| 14 | 1 | B1 | 13 | 1 | B2 | 0.0020 | 20972.3086 | 0.0018 |
| 14 | 0 | E2+1 | 13 | 0 | E2+1 | 0.0020 | 20975.4430 | −0.0008 |
| 14 | 0 | E1+1 | 13 | 0 | E1+1 | 0.0020 | 20975.4662 | 0.0023 |
| 14 | 0 | B1 | 13 | 0 | B2 | 0.0020 | 20975.5419 | −0.0016 |
| 14 | 0 | A1 | 13 | 0 | A2 | 0.0020 | 20975.5609 | 0.0009 |
| 13 | 1 | A1 | 12 | 1 | A2 | 0.0020 | 21057.0411 | −0.0018 |
| 13 | 1 | E1-1 | 12 | 1 | E1-1 | 0.0020 | 21057.6043 | 0.0000 |
| 13 | 1 | E2+1 | 12 | 1 | E2+1 | 0.0020 | 21057.9162 | −0.0003 |
| 13 | 1 | B1 | 12 | 1 | B2 | 0.0020 | 21058.3004 | 0.0002 |
| 15 | 1 | E1+1 | 14 | 1 | E1+1 | 0.0020 | 22419.5846 | −0.0018 |
| 15 | 1 | E2-1 | 14 | 1 | E2-1 | 0.0020 | 22419.5963 | 0.0007 |
| 15 | 1 | A2 | 14 | 1 | A1 | 0.0020 | 22419.6757 | −0.0012 |
| 15 | 1 | B2 | 14 | 1 | B1 | 0.0020 | 22419.6893 | 0.0007 |
| 15 | 0 | E2+1 | 14 | 0 | E2+1 | 0.0020 | 22421.3105 | −0.0006 |
| 15 | 0 | E1+1 | 14 | 0 | E1+1 | 0.0020 | 22421.3214 | 0.0008 |
| 15 | 0 | B2 | 14 | 0 | B1 | 0.0020 | 22421.4038 | −0.0019 |
| 15 | 0 | A2 | 14 | 0 | A1 | 0.0020 | 22421.4178 | 0.0008 |
| 14 | 1 | A2 | 13 | 1 | A1 | 0.0020 | 22464.5266 | 0.0007 |
| 14 | 1 | E1-1 | 13 | 1 | E1-1 | 0.0020 | 22471.4599 | 0.0005 |
| 14 | 1 | E2+1 | 13 | 1 | E2+1 | 0.0020 | 22472.0193 | −0.0006 |
| 14 | 1 | B2 | 13 | 1 | B1 | 0.0020 | 22472.3380 | 0.0001 |
| 16 | 1 | E1+1 | 15 | 1 | E1+1 | 0.0100 | 23866.6937 | 0.0050 |
| 16 | 1 | E2-1 | 15 | 1 | E2-1 | 0.0100 | 23866.6937 | −0.0010 |
| 16 | 1 | A1 | 15 | 1 | A2 | 0.0020 | 23866.7778 | −0.0016 |
| 16 | 1 | B1 | 15 | 1 | B2 | 0.0020 | 23866.7898 | 0.0009 |
| 16 | 0 | E2+1 | 15 | 0 | E2+1 | 0.0040 | 23867.5936 | −0.0021 |
| 16 | 0 | E1+1 | 15 | 0 | E1+1 | 0.0040 | 23867.6020 | 0.0001 |
| 16 | 0 | B1 | 15 | 0 | B2 | 0.0020 | 23867.6859 | −0.0022 |
| 16 | 0 | A1 | 15 | 0 | A2 | 0.0020 | 23867.6984 | 0.0005 |
| 15 | 1 | E1-1 | 14 | 1 | E1-1 | 0.0020 | 23893.9616 | −0.0003 |
| 15 | 1 | E2+1 | 14 | 1 | E2+1 | 0.0020 | 23896.3478 | 0.0007 |
| 15 | 1 | B1 | 14 | 1 | B2 | 0.0020 | 23896.6183 | 0.0008 |
| 15 | 1 | A1 | 14 | 1 | A2 | 0.0020 | 23909.8259 | 0.0000 |
| 14 | 2 | A1 | 13 | 2 | A2 | 0.0020 | 24254.2397 | 0.0002 |
| 14 | 4 | B2 | 13 | 4 | B1 | 0.0020 | 24261.5417 | 0.0023 |
| 14 | 4 | A2 | 13 | 4 | A1 | 0.0020 | 24261.8189 | −0.0025 |
| 14 | 4 | E2+1 | 13 | 4 | E2+1 | 0.0020 | 24262.4964 | 0.0000 |
| 14 | 4 | E1-1 | 13 | 4 | E1-1 | 0.0020 | 24262.8515 | −0.0005 |
| 14 | 6 | A2 | 13 | 6 | A1 | 0.0040 | 24267.2482 | −0.0017 |
| 14 | 6 | E2+1 | 13 | 6 | E2+1 | 0.0040 | 24274.2682 | 0.0014 |
| 14 | 6 | E2-1 | 13 | 6 | E2-1 | 0.0040 | 24274.3463 | 0.0091 |
| 14 | 6 | A1 | 13 | 6 | A2 | 0.0020 | 24281.4148 | 0.0007 |
| 14 | 5 | A1 | 13 | 5 | A2 | 0.0020 | 24367.4990 | 0.0023 |
| 14 | 5 | B1 | 13 | 5 | B2 | 0.0020 | 24367.7229 | −0.0002 |
| 14 | 5 | E1+1 | 13 | 5 | E1+1 | 0.0020 | 24382.1355 | −0.0020 |
| 14 | 5 | E2-1 | 13 | 5 | E2-1 | 0.0020 | 24384.6795 | −0.0015 |
| 14 | 5 | E2+1 | 13 | 5 | E2+1 | 0.0040 | 24528.8397 | 0.0001 |
| 14 | 5 | E1-1 | 13 | 5 | E1-1 | 0.0040 | 24531.1879 | −0.0022 |
| 14 | 5 | A2 | 13 | 5 | A1 | 0.0040 | 24545.3151 | −0.0017 |
| 14 | 5 | B2 | 13 | 5 | B1 | 0.0040 | 24545.4736 | 0.0001 |
| 15 | 3 | E1+1 | 14 | 3 | E1+1 | 0.0020 | 25130.5005 | 0.0016 |
| 15 | 3 | A2 | 14 | 3 | A1 | 0.0020 | 25130.6894 | 0.0004 |
| 15 | 3 | E2-1 | 14 | 3 | E2-1 | 0.0020 | 25130.7369 | 0.0020 |
| 15 | 3 | B2 | 14 | 3 | B1 | 0.0020 | 25131.1580 | 0.0006 |
| 14 | 4 | E1+1 | 13 | 4 | E1+1 | 0.0040 | 25255.7991 | −0.0040 |
| 14 | 4 | E2-1 | 13 | 4 | E2-1 | 0.0020 | 25255.9875 | 0.0003 |
| 14 | 4 | B1 | 13 | 4 | B2 | 0.0020 | 25256.4410 | −0.0012 |
| 14 | 4 | A1 | 13 | 4 | A2 | 0.0020 | 25256.4952 | −0.0018 |
| 16 | 2 | E1-1 | 15 | 2 | E1-1 | 0.0040 | 25290.8229 | −0.0009 |
| 16 | 2 | E2+1 | 15 | 2 | E2+1 | 0.0020 | 25296.7336 | −0.0008 |
| 16 | 2 | B2 | 15 | 2 | B1 | 0.0020 | 25297.0829 | −0.0010 |
| 16 | 2 | A2 | 15 | 2 | A1 | 0.0020 | 25298.5029 | −0.0003 |
| 17 | 1 | E1+1 | 16 | 1 | E1+1 | 0.0100 | 25313.6509 | 0.0036 |
| 17 | 1 | E2-1 | 16 | 1 | E2-1 | 0.0100 | 25313.6509 | −0.0014 |
| 17 | 1 | A2 | 16 | 1 | A1 | 0.0020 | 25313.7354 | −0.0021 |
| 17 | 1 | B2 | 16 | 1 | B1 | 0.0020 | 25313.7465 | −0.0003 |
| 17 | 0 | E2+1 | 16 | 0 | E2+1 | 0.0100 | 25314.1214 | 0.0013 |
| 17 | 0 | E1+1 | 16 | 0 | E1+1 | 0.0100 | 25314.1214 | −0.0039 |
| 17 | 0 | B2 | 16 | 0 | B1 | 0.0020 | 25314.2088 | −0.0024 |
| 17 | 0 | A2 | 16 | 0 | A1 | 0.0020 | 25314.2208 | 0.0001 |
| 16 | 1 | A2 | 15 | 1 | A1 | 0.0020 | 25327.1839 | 0.0002 |
| 16 | 1 | E2+1 | 15 | 1 | E2+1 | 0.0020 | 25328.3585 | −0.0006 |
| 16 | 1 | B2 | 15 | 1 | B1 | 0.0020 | 25328.6127 | −0.0011 |
| 16 | 1 | E1-1 | 15 | 1 | E1-1 | 0.0020 | 25334.2623 | −0.0028 |
| 14 | 3 | E1-1 | 13 | 3 | E1-1 | 0.0020 | 25514.3494 | −0.0003 |
| 14 | 3 | E2+1 | 13 | 3 | E2+1 | 0.0020 | 25514.4428 | 0.0008 |
| 14 | 3 | A2 | 13 | 3 | A1 | 0.0020 | 25514.5304 | 0.0048 |
| 14 | 3 | B2 | 13 | 3 | B1 | 0.0020 | 25514.7415 | 0.0004 |
| 15 | 2 | E2-1 | 14 | 2 | E2-1 | 0.0040 | 25633.0103 | 0.0003 |
| 15 | 2 | E1+1 | 14 | 2 | E1+1 | 0.0040 | 25633.2752 | 0.0019 |
| 15 | 2 | B2 | 14 | 2 | B1 | 0.0040 | 25633.5497 | 0.0006 |
| 15 | 2 | A2 | 14 | 2 | A1 | 0.0040 | 25634.0974 | −0.0006 |
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