<figure><img src="image_1.png" /></figure>

# Powerful H₂ Line Cooling in Stephan's Quintet. II. Group-wide Gas and Shock Modeling of the Warm H₂ and a Comparison with [C II] 157.7 µm Emission and Kinematics

P. N. Appleton¹, P. Guillard², A. Togi³, K. Alatalo⁴,<fnref n="10" />, F. Boulanger⁵, M. Cluver⁶, G. Pineau des Forêts⁵,⁷, U. Lisenfeld⁸,
P. Ogle⁹, and C. K. Xu¹,⁹

¹ NASA Herschel Science Center, IPAC, Caltech, 770S Wilson Av., Pasadena, CA 91125, USA; apple@ipac.caltech.edu

² Sorbonne Universités, UPMC Univ. Paris 6 et CNRS, UMR 7095, Institut d'Astrophysique de Paris, 98 bis Bd Arago, F-75014 Paris, France

³ Department of Physics and Astronomy, The University of Toledo, 2825 West Bancroft Street, Toledo, OH 43606, USA

⁴ Observatories of the Carnegie Institution for Science, 813 Santa Barbara Street, Pasadena, CA 91101, USA

⁵ Institut d'Astrophysique Spatiale, F-91405 Orsay, Université Paris Sud et CNRS, France

⁶ Department of Physics and Astronomy, University of Western Cape, Robert Sobukwe Road, Bellville, 7535, South Africa

⁷ DAEC, Observatoire de Paris, F-92195 Meudon Principal Cedex, France

⁸ Departamento de Física Teorica y del Cosmos, Universidad de Granada, Spain and Instituto Carlos I de Física Teorica y Computacional, Facultad de Ciencias, E-18071 Granada, Spain

⁹ NASA Extragalactic Database, IPAC, Caltech, 1200 E. California Boulevard, Caltech, Pasadena, CA 91125, USA

Received 2016 September 8; revised 2016 December 21; accepted 2017 January 10; published 2017 February 9

## Abstract

We map for the first time the two-dimensional H₂ excitation of warm intergalactic gas in Stephan's Quintet on group-wide (50 × 35 kpc²) scales to quantify the temperature, mass, and warm H₂ mass fraction as a function of position using *Spitzer*. Molecular gas temperatures are seen to rise (to T > 700 K) and the slope of the power-law density-temperature relation flattens along the main ridge of the filament, defining the region of maximum heating. We also performed MHD modeling of the excitation properties of the warm gas, to map the velocity structure and energy deposition rate of slow and fast molecular shocks. Slow magnetic shocks were required to explain the power radiated from the lowest-lying rotational states of H₂, and strongly support the idea that energy cascades down to small scales and low velocities from the fast collision of NGC 7318b with group-wide gas. The highest levels of heating of the warm H₂ are strongly correlated with the large-scale stirring of the medium as measured by [C II] spectroscopy with *Herschel*. H₂ is also seen associated with a separate bridge that extends toward the Seyfert nucleus in NGC 7319, from both *Spitzer* and CARMA CO observations. This opens up the possibility that both galaxy collisions and outflows from active galactic nuclei can turbulently heat gas on large scales in compact groups. The observations provide a laboratory for studying the effects of turbulent energy dissipation on group-wide scales, which may provide clues about the heating and cooling of gas at high z in early galaxy and protogalaxy formation.

**Key words:** galaxies: individual (Stephan's Quintet – NGC 7318a, NGC 7318b, NGC 7319)

## 1. Introduction

Stephan's Quintet (hereafter the Quintet) is one of the most studied of nearby compact groups of galaxies. Observations have been made across a wide range of the electromagnetic spectrum, from X-rays (Bahcall et al. 1984; Sulentic et al. 1995; Trinchieri et al. 2003; O'Sullivan et al. 2009), UV (Xu et al. 2005), visible light (Moles et al. 1998; Gallagher et al. 2001; Fedotov et al. 2011), IR (Sulentic et al. 2001; Cluver et al. 2010; Guillard et al. 2010; Natale et al. 2010; Suzuki et al. 2011; Bitsakis et al. 2014) to radio waves (Allen & Hartsuiker 1972; van der Hulst & Rots 1981; Xu et al. 2003; Nikiel-Wroczyński et al. 2013). These papers have revealed that much of the gas lies either in tidal tails outside the galaxies or in a large intergalactic filament. The filament, which lies between NGC 7319 and NGC 7318b, was first observed in radio continuum emission and later in X-rays. Observations strongly suggest that the gas in the filament is heated by shocks driven into the intergroup medium by the “intruder” galaxy NGC 7318b (Gao & Xu 2000; Xu et al. 2003, 2005; O’Sullivan et al. 2009; Iglesias-Páramo et al. 2012; Konstantopoulos et al. 2014; Rodríguez-Baras et al. 2014). The galaxy is likely colliding from behind the group with a blueshifted radial

velocity of 800–1000 km s⁻¹ with respect to the majority of the gas in the group. The Quintet has also been the subject of several detailed numerical simulations (Renaud et al. 2010; Geng et al. 2012; Hwang et al. 2012), which help to explain the H I and optical bridges and tails associated with the large Seyfert II galaxy NGC 7319, as well as the interaction of the intruder galaxy with the group (Moles et al. 1997; Sulentic et al. 1995, 2001; Williams et al. 2002).

*Spitzer* mid-IR spectroscopy of the filament revealed unusually bright pure-rotational emission lines of molecular hydrogen (Appleton et al. 2006; Cluver et al. 2010, hereafter Paper 1) associated with the filament. Although the observations presented in Paper 1 could not spectrally resolve the emission or accurately measure the systemic velocity, a reanalysis of the *Spitzer* Infrared Spectrograph (IRS) higher resolution (R = 500) data from Appleton et al. (2006) was performed to provide some limited information (see Appendix A of Paper 1). Those results showed the gas to be kinematically broad (FWHM ~ 800 km s⁻¹), and approximately centered at a velocity between that of the high-velocity intruder galaxy and the velocity of the gas in the main body of the group. This suggested that the warm H₂ is highly turbulent post-shocked gas accelerated during the encounter.

The H₂ emission defines not only the main north/south filament seen at other wavelengths, but also a second

<footnote n="10">¹⁰ Hubble Fellow.</footnote>
<figure><img src="image_2.png" /><figcaption>**Figure 1.** (a) Spitzer warm H₂ line maps of 0–0 S(0) 28.2 µm (white contours) and 0–0 S(3) 9.7 µm (red contours) superimposed on the Hubble Space Telescope (HST) F665N Hα image of Stephan’s Quintet (see Paper 1). The 0–0 S(0) map was made in the IRS long-low module and covers a larger area than the 0–0 S(3) map, which was made in the short-low module. White contours are 0.075, 0.1, 0.15, 0.2, 0.25, 0.3, 0.35, and 0.4 MJy sr⁻¹, and red contours are 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, and 0.7 MJy sr⁻¹. (b) Spectral extraction grid used in this paper to investigate the excitation of the gas over the main H₂ filament; it includes only those areas common to both the long-low and short-low modules. The numbered extraction boxes are 5.55 × 5.55 arcsec² (2.5 × 2.5 kpc² at D = 94 Mpc) in area. The background image is again the F665N HST image. The overall extent of the warm H₂ emission is ~50 × 35 kpc².</figcaption></figure>

bridge-like structure, which extends eastward from the main shock toward the center of NGC 7319 (see Figure 1(a)). This possible bridge is also seen faintly in X-ray emission and extended Hα observations (Trinchieri et al. 2003; Xu et al. 2003). Based on the high values of the warm H₂/PAH (polycyclic aromatic hydrocarbons), H₂/IR, and H₂/X-ray luminosities (Paper 1), it was concluded that the main heating mechanism for the warm H₂ emission was the dissipation of mechanical energy in the shocks, channeled to small scales and low velocities by supersonic turbulence (see modeling by Guillard et al. 2009; Lesaffre et al. 2013). Recent observations of far-IR cooling lines ([C II], [O I], and H₂O) with Herschel (Appleton et al. 2013) show that although these lines are boosted in the filament, the dominant cooling still occurs in the low-J pure-rotational lines of H₂.

Early attempts at detecting CO (1–0) emission from the Quintet appeared to show only emission from the brightest regions in NGC 7319, and in two extragalactic star-forming regions (Gao & Xu 2000; Smith & Struck 2001; Lisenfeld et al. 2002; Petitpas & Taylor 2005). Smith & Struck (2001) also detected faint broad emission from the direction of the intruder galaxy NGC 7318b, but in retrospect this may have been the first detection of CO from the main shocked filament, which lies in the large NRAO 12 m beam.

Much deeper single-dish (Guillard et al. 2012) IRAM 30 m observations, using a broadband receiver system, revealed the presence of extensive faint CO emission from the filament with large line widths, and with as many as three different velocity components at some positions. This multiplicity of velocity components (also confirmed with optical spectroscopy of the faint ionized gas by Iglesias-Páramo et al. 2012; Konstantopoulos et al.

2014; Rodríguez-Baras et al. 2014) implies a complex interplay between the intruder galaxy’s gas and the pre- and post-shocked gas lying in the group. Unfortunately, although we expect the warm H₂ emission discussed in the current paper to primarily be post-shocked gas, we do not have the velocity resolution to make a detailed comparison with the previously published spectroscopy.

In Paper 1, we described the integrated properties of the warm pure-rotational mid-IR H₂ emission, including a comparison with the X-ray distribution, PAH bands, and several fine-structure lines detected with Spitzer. In the current paper we explore for the first time the full 2D excitation properties of the warm H₂ to derive physical properties within the gas. We also compare these data with observations taken of other gas phases, including [C II] observations with Herschel, IRAM 30 m observations in the CO (1–0) line, and new CO interferometer observations. We present three methods of modeling the H₂ excitation diagrams, including a simple two-temperature fit, a more general power-law technique, and finally multi-component shock modeling. The shock modeling allows us to quantify the mechanical energy dissipation in the gas caused by the intruder galaxy.

The paper is organized as follows. Section 2 describes the observations presented in the paper from Spitzer and Herschel, and Section 3 summarizes the main observational results. Section 4 describes three methods of modeling the H₂ excitation of the Quintet. Section 5 shows the results of the modeling. Section 6 explores the different estimates of the warm molecular mass and warm mass fraction using the various methods, and Section 7 describes the spatial distribution of the derived properties, including kinetic energy deposition rates and shock properties both across and along
<figure><img src="image_3.png" /><figcaption>**Figure 2.** Schematically, we show a short run of nine (of the 212) IRS spectra from the Stephan's Quintet system (positions 114–122 across the main shock; see Figure 1(b)). This demonstrates how the mapping was achieved. Examples of some sample spectra of regions of interest are shown in Appendix A (Figures 15(a) and (b)). The dominant emission is from the rotational lines of warm molecular hydrogen and [Si II] 34.8 µm. The red spectrum (114) is extracted close to the center of NGC 7318b and shows silicates in emission around 10 µm (see also Figure 15(e)). There is no significance to the colors of the spectra other than to make them more identifiable. Note the rapid rise in strength of the 0–0 S(1) and higher rotational lines as one proceeds into the shock, and in this case across the high-excitation region of the so-called “Bridge” region (see text).</figcaption></figure>

the main filament. This includes a strong correlation between
the enhanced warm gas fraction and the kinematics of the gas
(Section 7.1), as well as a discussion of additional heating from
an outflow of an active galactic nucleus (AGN) from NGC
7319 (Section 7.2). Section 8 presents out conclusions,
including the relevance of the observations for future far-IR
studies of high-z galaxies and protogalaxies. For consistency
with Paper 1, we assume a distance to the Quintet of 94 Mpc
for $H_0 = 70$ km s$^{-1}$ Mpc$^{-1}$, based on an assumed group
systemic heliocentric velocity of 6600 km s$^{-1}$.

**2. The Observations**

## 2.1. Spitzer Observations

Observations of the Quintet filament were made on 2008
January 11 and 2007 December 10 using the short-low (SL with
spectral resolution R = 60–127; SL2 covering λ = 5.2–7.7 µm,
and submodule SL1 λ = 7.4–14.5 µm) and long-low modules
(LL; R = 57–126, with submodules LL2 λ = 14.0–21.3 µm and
LL1, λ = 19.5–38 µm) of the Spitzer IRS (Houck et al. 2004). A
full description of the observations, data reductions, and
processing was presented in Paper 1. The LL module (repeated
separately for the submodules LL1 and LL2) spectrally mapped
an area of ~2.8 × 3.2 arcmin² in 21 steps of 8 arcsec (0.75 × the
slit width) and was designed to cover whole radio/X-ray-emitting
filament. Figure 2 illustrates how 1D spectra are built up to
accomplish 2D mapping. Similarly, the SL module (covering a
slightly smaller area than LL) performed two partially overlapping
scans perpendicular to the LL slit, in 2 × 23 steps of 2.8 arcsec
(0.75 × slit width) for each submodule. After processing through
the Spitzer Science Center S17 pipelines, all the individual frames
were median-combined, calibrated, corrected, and assembled into
two-dimensional data cubes using the CUBISM software (Smith
et al. 2007a). This resulted in cubes for the SL and LL mapped
onto the sky with a pixel scale of 1.85 × 1.85 arcsec² and
5.1 × 5.1 arcsec² respectively.

In order to ensure that we extracted spectra of the molecular
hydrogen lines at a common spatial resolution, set by the
longest-wavelength 28 µm 0–0 S(0) H₂ line, we convolved, at
each wavelength, the individual layers of the SL1, SL2, and
LL2 cubes (covering 5–21.3 µm) to the scale of 7 arcsec (the
FWHM of the 28 µm H₂ line) using a Gaussian kernel. It was
not necessary to smooth the LL1 cube because the only line of
interest in this paper is the 28.2 µm line, and so this cube was
left in its native form. This procedure has two positive effects.
First it ensured that our spectral extractions were not affected
by differences in resolution over the 5–28 µm range of the H₂
lines (almost a factor of 5 in spatial resolution from 0–0 S(5)
6.1 µm compared with the 0–0 S(0) 28.2 µm line). Second, the
procedure improved the signal-to-noise ratio of the shorter-
wavelength data significantly (compared with Paper 1, which
did not include smoothing), allowing us to produce high-
quality spectra over the full range of observed wavelengths.
The resulting data cubes were carefully checked for flux
conservation by extracting regions of the convolved cubes over
large-scale features, and comparing the extracted fluxes with
those obtained from the cube with native resolution. The results
were in very close agreement to a few per cent.

In this paper, we present extractions from the spectral maps
over those regions that were mapped by both LL and SL
modules using PAHFIT (Smith et al. 2007b). Spectra were
extracted from the SL1, SL2, LL1, and LL2 cubes, and then
stitched together to form the full mid-IR spectra. In general, no
scaling was needed in stitching the spectra together. The IRS
spectral extractions were performed in CUBISM on the SL and
LL cubes using the four corners of 3 × 3 native SL pixels to
define the extraction areas over a continuous grid. This resulted
in boxes of area 5.55 × 5.55 arcsec². Figure 1(b) shows the
extraction grid of 212 spectra superimposed on a continuum-
subtracted Hα HST (F665N) image of the Quintet. We only
sample regions that are well covered in both the SL and LL
cubes, and so we have been conservative about the edges of the
<table><caption>**Table 1**
Mass of Warm Molecular Hydrogen ($T > 120$ K) and Warm Gas Fraction</caption><thead><tr><th>Method</th><th><i>M</i>(H<sub>2</sub>)<i>T</i> &gt; 120 K<br>(10<sup>8</sup> <i>M</i><sub>☉</sub>)</th><th><i>M</i>(H<sub>2</sub>)<i>T</i> &gt; 50 K<br>(10<sup>8</sup> <i>M</i><sub>☉</sub>)</th><th><i>M</i>(H<sub>2</sub>)<sub>CO</sub><sup>a</sup><br>(10<sup>9</sup> <i>M</i><sub>☉</sub>)</th><th>Warm (<i>T</i> &gt; 100 K)<br>Fraction</th><th>Warm/Total Ratio<br>Method</th></tr></thead><tbody><tr><td>Two-temp. (All)</td><td>11.2</td><td>...</td><td>5.0</td><td>0.22</td><td>CO obs.<sup>a</sup></td></tr><tr><td>Power law (All)</td><td>7.14</td><td>70.9</td><td>...</td><td>0.1</td><td>power-law method<sup>b</sup></td></tr><tr><td>Shocks (All)</td><td>10.0</td><td>27.0</td><td>...</td><td>0.38</td><td>shock model<sup>c</sup></td></tr><tr><td>Two-temp. <i>T</i><sub>1</sub> (only)</td><td>11.1</td><td>...</td><td>...</td><td>...</td><td>...</td></tr><tr><td>Two-temp. <i>T</i><sub>2</sub> (only)</td><td>0.12</td><td>...</td><td>...</td><td>...</td><td>...</td></tr><tr><td>Two-temp. (IRAM-R1<sup>c</sup>)</td><td>0.87<sup>d</sup></td><td>...</td><td>1.3</td><td>0.07</td><td>CO obs.<sup>a,e</sup></td></tr><tr><td>Two-temp. (IRAM-R2<sup>e</sup>)</td><td>0.69<sup>d</sup></td><td>...</td><td>1.3</td><td>0.05</td><td>CO obs.<sup>a,e</sup></td></tr><tr><td>Two-temp. (IRAM-R3<sup>e</sup>)</td><td>0.94<sup>d</sup></td><td>...</td><td>1.2</td><td>0.08</td><td>CO obs.<sup>a,e</sup></td></tr><tr><td><i>V</i><sub>shock</sub> &lt; 20 km s<sup>-1</sup></td><td>9.76</td><td>26.0</td><td>...</td><td>0.38</td><td>shock model<sup>c</sup></td></tr><tr><td><i>V</i><sub>shock</sub> ≥ 20 km s<sup>-1</sup></td><td>0.40</td><td>1.0</td><td>...</td><td>0.4</td><td>shock model<sup>c</sup></td></tr></tbody></table>

**Notes.**

mapped area to ensure good coverage at all wavelengths. The results of the extractions are presented in Table 2.

## 2.2. Herschel Observations

Observations were made using the PACS integral field spectrometer (Poglitsch et al. 2010) on the Herschel Space Observatory (Pilbratt et al. 2010) on 2011 December 7 and 8. In Appleton et al. (2013) we presented initial results and gas modeling of the [C II] excitation from these observations, showing that the [C II] line flux is boosted by collisional heating from the warm H<sub>2</sub> gas. In the current paper we extend the analysis to include moment maps of the emission to explore the possible relationship between the [C II] kinematics and the heating of the warm H<sub>2</sub> gas.

The [C II] 157.74 µm observations were made in the first-order gratings using a short “range-scan” mode covering the redshifted wavelength range 160.4–161.74 µm (5050–7600 km s<sup>-1</sup> heliocentric) with a velocity resolution of 235 km s<sup>-1</sup>. The PACS integral field unit (IFU) uses an image slicer and reflective optics to project 5 × 5 spatial pixels (each 9.4 × 9.4 arcsec<sup>2</sup> on the sky). Three separate “pointed mode” chop/nod observations were made (3 arcmin chopper throw) with 4 hr of integration time per pointing to cover the main parts of the Quintet filament (see Figure 1(b) of Appleton et al. 2013). Unlike in the analysis presented in that paper, we combine all three pointings into a single data cube using the software specInterpolate<sup>11</sup>, which was not available at the time of that publication. This software creates a single data cube combined from the three separate pointings, combining all the spaxel positions using an interpolation scheme to ensure the best possible combination of the data given that the filament was not mapped in a fully sampled way. The integrated [C II] map of the Quintet filament is shown in Figure 3; this was created by summing up the spectral flux in the projected cube over the range where emission is detected using the Herschel Interactive Processing Environment 12 (HIPE 12).

# 3. Observational Results: Mid-IR H<sub>2</sub> Emission and Spectra

In Appleton et al. (2006) and in Paper 1, we presented strong evidence that the molecular hydrogen lines in the Quintet are excited by shocks over most of the filament. The lines are particularly strong along the main filament (see also Figure 1(a)), especially in the center. Except for a few regions on the western side of the mapped area, there are very few places in the entire 212 extraction regions (Figure 1(b)) where no H<sub>2</sub> lines are detected. The current paper concentrates on differences in excitation across the filament, including the region that extends to the east toward the Seyfert galaxy NGC 7319 and westward to include NGC 7318b and 7318a. In Appendix A, we present some examples of the extracted spectra to show the quality of these data, and the generally high signal-to-noise ratio of the molecular hydrogen line detections. We note the detection of silicate emission peaking at approximately 10 µm from spectra taken near the center of both NGC 7318a and NGC 7318b (Figures 15(e) and (h)). Silicate emission is relatively rare, and its detection usually indicates the existence of a warm dust torus surrounding an AGN but seen from above (Li et al. 2008; Hatziminaoglou et al. 2015). We note that both galaxies show weak nuclear X-ray emission (see Figure 2 of O’Sullivan et al. 2009), although NGC 7318a is brighter (with L(0.3–3 keV) = 9.4 × 10<sup>39</sup> erg s<sup>-1</sup> for D = 94 Mpc; Trinchieri et al. 2005) and also contains a nuclear radio source (0.95 mJy at 20 cm) (Xu et al. 2003) with a spectral index of 0.62. It is therefore likely that both galaxies contain low-luminosity AGNs.

# 4. Models of the H<sub>2</sub> Excitation

Molecular hydrogen, being homonuclear, has no allowable dipole transitions, and so only weak quadrupole transitions with ΔJ = ±2 are allowed. H<sub>2</sub> excitation diagrams are a convenient way of exploring the distribution of level populations in H<sub>2</sub> molecules in galaxies (e.g., Rigopoulou et al. 2002; Roussel et al. 2007). This paper will compare three approaches to fitting the H<sub>2</sub> excitation data derived from the

<footnote><sup>a</sup> Using the total H<sub>2</sub> masses derived from Guillard et al. (2012) based on CO (1–0) observations and an assumed N(H<sub>2</sub>)/I<sub>co</sub> of 2 × 10<sup>20</sup> cm<sup>-2</sup> (K km s<sup>-1</sup>)<sup>-1</sup>. This would include gas with a potentially lower temperature than 50 K.</footnote>

<footnote><sup>b</sup> Ratio of H<sub>2</sub> with T > 120 K to the gas with T > 50 K using the power law method. This is the average value for the whole structure and may miss colder gas that the method is not sensitive to. However, as discussed in the text and shown in Figure 10, this ratio can reach values >50% at the peak of the shock.</footnote>

<footnote><sup>c</sup> Total mass is evaluated from the shock model (see text).</footnote>

<footnote><sup>d</sup> Warm H<sub>2</sub> masses from the T<sub>1</sub>/T<sub>2</sub> method were evaluated over the IRAM 30 m CO (1–0) beam.</footnote>

<footnote><sup>e</sup> A subset of positions along the shock ridge described in Guillard et al. (2012). These positions are dominated by warm gas with a high temperature and generally lower warm molecular masses than the average for the filament.</footnote>

<footnote n="11">11 See Herschel PACS User Manual.</footnote>
<table><caption>Table 2
Extracted Line Properties for Each Region Shown in Figure 1(b). Line Fluxes in Units of 10⁻¹⁸ W m⁻²</caption><thead><tr><th>Region<br>(Figure 1(b))<sup>a</sup></th><th>R.A. (J2000)<br>(deg)</th><th>Decl. (J2000)<br>(deg)</th><th>0-0 S(0) (unc.)<br>(28.2 µm)<sup>b</sup></th><th>0-0 S(1) (unc.)<br>(17.0 µm)<sup>b</sup></th><th>0-0 S(2) (unc.)<br>(12.3 µm)<sup>b</sup></th><th>0-0 S(3) (unc.)<br>(9.7 µm)<sup>b</sup></th><th>0-0 S(4) (unc.)<br>(8.0 µm)<sup>b</sup></th><th>0-0 S(5) (unc.)<br>(6.9 µm)<sup>b</sup></th><th>0-0 S(6) (unc.)<br>(6.1 µm)<sup>b</sup></th><th>Detected<br>Lines<sup>c</sup></th></tr></thead><tbody><tr><td>1</td><td>338.99647</td><td>33.95042</td><td>&lt;0.13<sup>d</sup></td><td>&lt;0.17</td><td>&lt;0.25</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>no lines</td></tr><tr><td>2</td><td>338.99808</td><td>33.95118</td><td>&lt;0.13</td><td>0.25 (0.06)</td><td>0.40 (0.07)</td><td>&lt;0.38</td><td>&lt;0.56</td><td>0.79 (0.04)</td><td>&lt;0.39</td><td>1</td></tr><tr><td>3</td><td>338.99970</td><td>33.95194</td><td>&lt;0.13</td><td>0.47 (0.06)</td><td>0.71 (0.10)</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>12</td></tr><tr><td>4</td><td>339.00132</td><td>33.95270</td><td>0.11 (0.04)</td><td>1.32 (0.06)</td><td>1.01 (0.08)</td><td>3.05 (0.13)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>123</td></tr><tr><td>5</td><td>339.00293</td><td>33.95346</td><td>&lt;0.13</td><td>1.21 (0.06)</td><td>0.66 (0.16)</td><td>2.13 (0.13)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>123</td></tr><tr><td>6</td><td>339.00455</td><td>33.95422</td><td>&lt;0.13</td><td>0.91 (0.06)</td><td>&lt;0.25</td><td>&lt;0.38</td><td>&lt;0.56</td><td>0.29 (0.04)</td><td>&lt;0.39</td><td>1</td></tr><tr><td>7</td><td>339.00617</td><td>33.95498</td><td>&lt;0.13</td><td>1.06 (0.06)</td><td>0.85 (0.40)</td><td>1.77 (0.13)</td><td>&lt;0.56</td><td>2.18 (0.30)</td><td>&lt;0.39</td><td>135</td></tr><tr><td>8</td><td>339.00778</td><td>33.95574</td><td>&lt;0.13</td><td>1.11 (0.05)</td><td>&lt;0.25</td><td>2.14 (0.13)</td><td>&lt;0.56</td><td>0.86 (0.05)</td><td>&lt;0.39</td><td>135</td></tr><tr><td>9</td><td>339.00940</td><td>33.95650</td><td>&lt;0.13</td><td>0.92 (0.05)</td><td>0.66 (0.08)</td><td>1.75 (0.13)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>123</td></tr><tr><td>10</td><td>339.01102</td><td>33.95726</td><td>0.22 (0.05)</td><td>0.81 (0.04)</td><td>&lt;0.25</td><td>1.48 (0.14)</td><td>&lt;0.56</td><td>0.52 (0.04)</td><td>&lt;0.39</td><td>135</td></tr><tr><td>11</td><td>338.99555</td><td>33.95176</td><td>&lt;0.13</td><td>0.24 (0.04)</td><td>0.24 (0.07)</td><td>0.27 (0.11)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>no lines</td></tr><tr><td>12</td><td>338.99717</td><td>33.95252</td><td>&lt;0.13</td><td>0.88 (0.06)</td><td>0.52 (0.08)</td><td>0.91 (0.12)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>123</td></tr><tr><td>13</td><td>338.99878</td><td>33.95328</td><td>0.23 (0.04)</td><td>2.29 (0.06)</td><td>0.80 (0.08)</td><td>1.88 (0.13)</td><td>&lt;0.56</td><td>[1.38 (0.46)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>14</td><td>339.00040</td><td>33.95404</td><td>0.26 (0.04)</td><td>2.34 (0.06)</td><td>1.51 (0.08)</td><td>3.37 (0.13)</td><td>0.74 (0.16)</td><td>2.62 (0.14)</td><td>1.67 (0.13)</td><td>0123456</td></tr><tr><td>15</td><td>339.00202</td><td>33.95480</td><td>0.17 (0.05)</td><td>1.67 (0.06)</td><td>1.10 (0.08)</td><td>1.67 (0.12)</td><td>0.49 (0.17)</td><td>1.66 (0.14)</td><td>1.66 (0.13)</td><td>0123456</td></tr><tr><td>16</td><td>339.00363</td><td>33.95556</td><td>0.14 (0.04)</td><td>1.52 (0.06)</td><td>0.75 (0.08)</td><td>1.00 (0.12)</td><td>&lt;0.56</td><td>[1.58 (0.53)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>17</td><td>339.00525</td><td>33.95632</td><td>0.29 (0.05)</td><td>1.81 (0.06)</td><td>1.15 (0.08)</td><td>2.34 (0.13)</td><td>0.54 (0.17)</td><td>1.40 (0.13)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>18</td><td>339.00687</td><td>33.95708</td><td>0.11 (0.06)</td><td>1.20 (0.05)</td><td>0.75 (0.08)</td><td>1.10 (0.13)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>123</td></tr><tr><td>19</td><td>339.00848</td><td>33.95784</td><td>&lt;0.13</td><td>0.71 (0.05)</td><td>0.56 (0.08)</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>12</td></tr><tr><td>20</td><td>339.01010</td><td>33.95860</td><td>0.19 (0.05)</td><td>0.72 (0.05)</td><td>0.45 (0.08)</td><td>0.58 (0.11)</td><td>&lt;0.56</td><td>0.88 (0.14)</td><td>1.56 (0.13)</td><td>012345</td></tr><tr><td>21</td><td>338.99463</td><td>33.95310</td><td>&lt;0.13</td><td>0.39 (0.05)</td><td>0.60 (0.08)</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>12</td></tr><tr><td>22</td><td>338.99625</td><td>33.95386</td><td>&lt;0.13</td><td>1.06 (0.06)</td><td>0.63 (0.08)</td><td>0.51 (0.11)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>123</td></tr><tr><td>23</td><td>338.99787</td><td>33.95462</td><td>0.20 (0.06)</td><td>1.90 (0.06)</td><td>1.17 (0.08)</td><td>1.53 (0.19)</td><td>&lt;0.56</td><td>[0.38 (0.13)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>24</td><td>338.99948</td><td>33.95538</td><td>0.21 (0.04)</td><td>2.37 (0.06)</td><td>1.45 (0.08)</td><td>2.11 (0.18)</td><td>&lt;0.56</td><td>1.52 (0.13)</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>25</td><td>339.00110</td><td>33.95614</td><td>0.24 (0.04)</td><td>2.21 (0.06)</td><td>1.30 (0.08)</td><td>1.93 (0.19)</td><td>&lt;0.56</td><td>1.56 (0.13)</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>26</td><td>339.00272</td><td>33.95690</td><td>0.23 (0.05)</td><td>1.54 (0.06)</td><td>1.12 (0.08)</td><td>1.37 (0.12)</td><td>&lt;0.56</td><td>1.13 (0.13)</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>27</td><td>339.00433</td><td>33.95766</td><td>&lt;0.13</td><td>1.17 (0.05)</td><td>&lt;0.25</td><td>1.45 (0.18)</td><td>&lt;0.56</td><td>1.37 (0.13)</td><td>&lt;0.39</td><td>135</td></tr><tr><td>28</td><td>339.00595</td><td>33.95842</td><td>&lt;0.13</td><td>1.07 (0.06)</td><td>&lt;0.25</td><td>0.64 (0.11)</td><td>&lt;0.56</td><td>0.66 (0.13)</td><td>&lt;0.39</td><td>135</td></tr><tr><td>29</td><td>339.00756</td><td>33.95919</td><td>&lt;0.13</td><td>0.76 (0.05)</td><td>0.65 (0.08)</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>12</td></tr><tr><td>30</td><td>339.00918</td><td>33.95995</td><td>&lt;0.13</td><td>0.60 (0.06)</td><td>0.75 (0.08)</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>12</td></tr><tr><td>31</td><td>338.99372</td><td>33.95444</td><td>0.11 (0.04)</td><td>0.24 (0.06)</td><td>0.29 (0.07)</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>01</td></tr><tr><td>32</td><td>338.99533</td><td>33.95520</td><td>0.10 (0.05)</td><td>0.46 (0.05)</td><td>0.33 (0.08)</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>12</td></tr><tr><td>33</td><td>338.99695</td><td>33.95596</td><td>0.19 (0.05)</td><td>1.00 (0.06)</td><td>0.51 (0.09)</td><td>0.71 (0.11)</td><td>&lt;0.56</td><td>[0.77 (0.26)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>34</td><td>338.99856</td><td>33.95672</td><td>0.09 (0.05)</td><td>2.07 (0.06)</td><td>1.17 (0.08)</td><td>2.01 (0.13)</td><td>0.46 (0.17)</td><td>1.28 (0.06)</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>35</td><td>339.00018</td><td>33.95748</td><td>0.28 (0.04)</td><td>1.95 (0.06)</td><td>1.32 (0.08)</td><td>2.53 (0.17)</td><td>&lt;0.56</td><td>1.47 (0.09)</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>36</td><td>339.00180</td><td>33.95824</td><td>0.30 (0.05)</td><td>1.37 (0.06)</td><td>0.92 (0.08)</td><td>1.37 (0.20)</td><td>&lt;0.56</td><td>0.37 (0.14)</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>37</td><td>339.00341</td><td>33.95900</td><td>0.17 (0.08)</td><td>1.08 (0.05)</td><td>0.85 (0.10)</td><td>0.79 (0.12)</td><td>&lt;0.56</td><td>[0.60 (0.20)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>38</td><td>339.00503</td><td>33.95976</td><td>&lt;0.13</td><td>1.00 (0.06)</td><td>0.83 (0.08)</td><td>0.61 (0.12)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>123</td></tr><tr><td>39</td><td>339.00665</td><td>33.96053</td><td>&lt;0.13</td><td>0.85 (0.07)</td><td>0.45 (0.09)</td><td>0.54 (0.12)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>123</td></tr><tr><td>40</td><td>339.00826</td><td>33.96129</td><td>0.12 (0.04)</td><td>0.76 (0.05)</td><td>0.57 (0.09)</td><td>0.52 (0.12)</td><td>&lt;0.56</td><td>[0.49 (0.16)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>41</td><td>338.99280</td><td>33.95578</td><td>&lt;0.13</td><td>0.30 (0.05)</td><td>0.37 (0.08)</td><td>0.71 (0.13)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>123</td></tr><tr><td>42</td><td>338.99441</td><td>33.95654</td><td>0.15 (0.04)</td><td>0.62 (0.06)</td><td>0.66 (0.08)</td><td>0.88 (0.13)</td><td>&lt;0.56</td><td>[0.58 (0.19)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>43</td><td>338.99603</td><td>33.95730</td><td>0.23 (0.06)</td><td>1.64 (0.06)</td><td>0.83 (0.08)</td><td>1.05 (0.13)</td><td>&lt;0.56</td><td>[0.56 (0.19)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>44</td><td>338.99765</td><td>33.95806</td><td>0.16 (0.05)</td><td>2.13 (0.06)</td><td>1.22 (0.08)</td><td>1.95 (0.13)</td><td>&lt;0.56</td><td>[0.83 (0.25)]</td><td>&lt;0.39</td><td>123[5]</td></tr><tr><td>45</td><td>338.99926</td><td>33.95882</td><td>0.15 (0.04)</td><td>2.11 (0.06)</td><td>1.32 (0.08)</td><td>2.97 (0.13)</td><td>0.61 (0.17)</td><td>1.40 (0.15)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>46</td><td>339.00088</td><td>33.95958</td><td>0.31 (0.04)</td><td>1.77 (0.05)</td><td>0.78 (0.08)</td><td>1.69 (0.13)</td><td>&lt;0.56</td><td>1.06 (0.18)</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>47</td><td>339.00250</td><td>33.96034</td><td>0.23 (0.05)</td><td>1.06 (0.06)</td><td>0.69 (0.08)</td><td>1.12 (0.13)</td><td>&lt;0.56</td><td>[0.24 (0.08)]</td><td>&lt;0.39</td><td>0123[5]</td></tr></tbody></table>
<table><caption>Table 2
(Continued)</caption><thead><tr><th>Region<br>(Figure 1(b))<sup>a</sup></th><th>R.A. (J2000)<br>(deg)</th><th>Decl. (J2000)<br>(deg)</th><th>0-0 S(0) (unc.)<br>(28.2 µm)<sup>b</sup></th><th>0-0 S(1) (unc.)<br>(17.0 µm)<sup>b</sup></th><th>0-0 S(2) (unc.)<br>(12.3 µm)<sup>b</sup></th><th>0-0 S(3) (unc.)<br>(9.7 µm)<sup>b</sup></th><th>0-0 S(4) (unc.)<br>(8.0 µm)<sup>b</sup></th><th>0-0 S(5) (unc.)<br>(6.9 µm)<sup>b</sup></th><th>0-0 S(6) (unc.)<br>(6.1 µm)<sup>b</sup></th><th>Detected<br>Lines<sup>c</sup></th></tr></thead><tbody><tr><td>48</td><td>339.00411</td><td>33.96110</td><td>0.17 (0.05)</td><td>1.03 (0.06)</td><td>0.67 (0.08)</td><td>1.06 (0.13)</td><td>&lt;0.56</td><td>[0.26 (0.09)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>49</td><td>339.00573</td><td>33.96187</td><td>0.21 (0.04)</td><td>1.14 (0.06)</td><td>0.45 (0.07)</td><td>1.03 (0.13)</td><td>&lt;0.56</td><td>[0.33 (0.04)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>50</td><td>339.00735</td><td>33.96263</td><td>&lt;0.13</td><td>0.98 (0.07)</td><td>&lt;0.25</td><td>0.83 (0.13)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>13</td></tr><tr><td>51</td><td>338.99188</td><td>33.95712</td><td>&lt;0.13</td><td>0.42 (0.06)</td><td>&lt;0.25</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>1</td></tr><tr><td>52</td><td>338.99350</td><td>33.95788</td><td>0.24 (0.05)</td><td>0.92 (0.06)</td><td>0.70 (0.08)</td><td>0.55 (0.13)</td><td>&lt;0.56</td><td>1.33 (0.15)</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>53</td><td>338.99511</td><td>33.95864</td><td>0.22(0.04)</td><td>1.68 (0.06)</td><td>1.35 (0.08)</td><td>1.59 (0.13)</td><td>0.34 (0.19)</td><td>0.81 (0.04)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>54</td><td>338.99673</td><td>33.95940</td><td>0.35 (0.05)</td><td>2.50 (0.06)</td><td>2.12 (0.08)</td><td>3.24 (0.13)</td><td>0.58 (0.19)</td><td>1.84 (0.05)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>55</td><td>338.99835</td><td>33.96016</td><td>0.40 (0.04)</td><td>3.48 (0.06)</td><td>2.16 (0.08)</td><td>4.16 (0.13)</td><td>1.09 (0.20)</td><td>2.04 (0.06)</td><td>0.67 (0.06)</td><td>0123456</td></tr><tr><td>56</td><td>338.99996</td><td>33.96092</td><td>0.41 (0.04)</td><td>2.71 (0.06)</td><td>1.74 (0.08)</td><td>2.91 (0.13)</td><td>&lt;0.60</td><td>1.31 (0.05)</td><td>0.83 (0.07)</td><td>012356</td></tr><tr><td>57</td><td>339.00158</td><td>33.96169</td><td>0.26 (0.04)</td><td>1.82 (0.06)</td><td>0.92 (0.08)</td><td>1.01 (0.13)</td><td>0.41 (0.16)</td><td>[0.72 (0.24)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>58</td><td>339.00320</td><td>33.96245</td><td>0.23 (0.04)</td><td>1.38 (0.05)</td><td>0.68 (0.08)</td><td>0.77 (0.13)</td><td>&lt;0.56</td><td>1.32 (0.15)</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>59</td><td>339.00481</td><td>33.96321</td><td>0.28 (0.04)</td><td>1.19 (0.06)</td><td>0.66 (0.08)</td><td>0.55 (0.12)</td><td>&lt;0.56</td><td>0.51 (0.06)</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>60</td><td>339.00643</td><td>33.96397</td><td>0.17 (0.05)</td><td>1.06 (0.05)</td><td>0.53 (0.08)</td><td>0.35 (0.12)</td><td>&lt;0.56</td><td>1.11 (0.30)</td><td>0.39 (0.07)</td><td>01235</td></tr><tr><td>61</td><td>338.99096</td><td>33.95846</td><td>&lt;0.13</td><td>0.23 (0.05)</td><td>0.46 (0.07)</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39 &lt;0.39</td><td>12</td><td></td></tr><tr><td>62</td><td>338.99258</td><td>33.95922</td><td>0.17 (0.04)</td><td>0.84 (0.05)</td><td>0.43 (0.07)</td><td>0.42 (0.13)</td><td>&lt;0.56</td><td>[0.25 (0.08)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>63</td><td>338.99420</td><td>33.95998</td><td>0.30 (0.04)</td><td>1.61 (0.06)</td><td>0.85 (0.08)</td><td>0.99 (0.13)</td><td>&lt;0.56</td><td>0.29 (0.04)</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>64</td><td>338.99581</td><td>33.96074</td><td>0.44 (0.04)</td><td>2.52 (0.06)</td><td>1.35 (0.08)</td><td>1.84 (0.13)</td><td>&lt;0.56</td><td>0.78 (0.20)</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>65</td><td>338.99743</td><td>33.96150</td><td>0.39 (0.05)</td><td>2.89 (0.06)</td><td>1.79 (0.08)</td><td>3.11 (0.13)</td><td>0.77 (0.19)</td><td>&lt;0.39</td><td>&lt;0.39</td><td>01234</td></tr><tr><td>66</td><td>338.99905</td><td>33.96226</td><td>0.37 (0.04)</td><td>3.32 (0.06)</td><td>1.90 (0.08)</td><td>3.52 (0.17)</td><td>0.98 (0.19)</td><td>&lt;0.39</td><td>&lt;0.39</td><td>01234</td></tr><tr><td>67</td><td>339.00066</td><td>33.96303</td><td>0.36 (0.04)</td><td>2.57 (0.06)</td><td>1.29 (0.08)</td><td>1.87 (0.17)</td><td>0.56 (0.17)</td><td>&lt;0.39</td><td>&lt;0.39</td><td>01234</td></tr><tr><td>68</td><td>339.00228</td><td>33.96379</td><td>0.28 (0.04)</td><td>1.70 (0.06)</td><td>0.71 (0.08)</td><td>1.03 (0.17)</td><td>&lt;0.56</td><td>[0.45 (0.15)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>69</td><td>339.00390</td><td>33.96455</td><td>0.20 (0.05)</td><td>1.26 (0.06)</td><td>0.57 (0.08)</td><td>0.72 (0.12)</td><td>&lt;0.56</td><td>[0.70 (0.23)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>70</td><td>339.00551</td><td>33.96531</td><td>0.20 (0.06)</td><td>1.09 (0.06)</td><td>0.40 (0.08)</td><td>0.68 (0.12)</td><td>&lt;0.56</td><td>[0.77 (0.26)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>71</td><td>338.99005</td><td>33.95980</td><td>&lt;0.13</td><td>0.22 (0.06)</td><td>&lt;0.25</td><td>0.31 (0.11)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>13</td></tr><tr><td>72</td><td>338.99166</td><td>33.96056</td><td>0.12 (0.04)</td><td>0.61 (0.06)</td><td>&lt;0.25</td><td>0.34 (0.11)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>013</td></tr><tr><td>73</td><td>338.99328</td><td>33.96132</td><td>0.30 (0.05)</td><td>1.22 (0.06)</td><td>0.39 (0.07)</td><td>0.59 (0.13)</td><td>&lt;0.56</td><td>[0.11 (0.04)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>74</td><td>338.99490</td><td>33.96208</td><td>0.33 (0.05)</td><td>1.60 (0.06)</td><td>0.75 (0.08)</td><td>1.14 (0.17)</td><td>&lt;0.56</td><td>[0.53 (0.18)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>75</td><td>338.99651</td><td>33.96284</td><td>0.37 (0.05)</td><td>2.28 (0.06)</td><td>0.75 (0.08)</td><td>1.41 (0.17)</td><td>&lt;0.56</td><td>[0.19 (0.06)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>76</td><td>338.99813</td><td>33.96360</td><td>0.37 (0.04)</td><td>3.47 (0.06)</td><td>1.53 (0.08)</td><td>2.97 (0.13)</td><td>0.84 (0.17)</td><td>0.76 (0.08)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>77</td><td>338.99974</td><td>33.96437</td><td>0.49 (0.04)</td><td>3.61 (0.06)</td><td>2.33 (0.08)</td><td>4.63 (0.13)</td><td>0.93 (0.19)</td><td>2.49 (0.05)</td><td>0.72 (0.15)</td><td>0123456</td></tr><tr><td>78</td><td>339.00136</td><td>33.96513</td><td>0.42 (0.04)</td><td>2.64 (0.06)</td><td>1.22 (0.08)</td><td>2.80 (0.13)</td><td>0.48 (0.19)</td><td>1.48 (0.10)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>79</td><td>339.00298</td><td>33.96589</td><td>0.27 (0.04)</td><td>1.69 (0.06)</td><td>0.46 (0.08)</td><td>1.12 (0.13)</td><td>&lt;0.56</td><td>[0.65 (0.22)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>80</td><td>339.00459</td><td>33.96665</td><td>0.23 (0.04)</td><td>1.38 (0.06)</td><td>0.45 (0.08)</td><td>1.09 (0.13)</td><td>&lt;0.56</td><td>[0.16 (0.05)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>81</td><td>339.00621</td><td>33.96741</td><td>0.20 (0.04)</td><td>1.32 (0.06)</td><td>0.40 (0.07)</td><td>0.85 (0.13)</td><td>0.83 (0.19)</td><td>&lt;0.39</td><td>&lt;0.39</td><td>01234</td></tr><tr><td>82</td><td>339.00783</td><td>33.96817</td><td>0.16 (0.04)</td><td>1.38 (0.05)</td><td>0.36 (0.07)</td><td>1.23 (0.13)</td><td>&lt;0.56</td><td>[0.38 (0.13)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>83</td><td>339.00944</td><td>33.96893</td><td>0.20 (0.04)</td><td>1.41 (0.05)</td><td>&lt;0.25</td><td>1.18 (0.13)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>013</td></tr><tr><td>84</td><td>338.98913</td><td>33.96114</td><td>&lt;0.13</td><td>&lt;0.17</td><td>&lt;0.25</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>no lines</td></tr><tr><td>85</td><td>338.99074</td><td>33.96190</td><td>0.06 (0.05)</td><td>0.34 (0.06)</td><td>&lt;0.25</td><td>0.76 (0.13)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>013</td></tr><tr><td>86</td><td>338.99236</td><td>33.96266</td><td>0.21 (0.05)</td><td>0.97 (0.06)</td><td>0.30 (0.08)</td><td>0.75 (0.13)</td><td>&lt;0.56</td><td>[0.02 (0.01)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>87</td><td>338.99398</td><td>33.96342</td><td>0.33 (0.04)</td><td>1.60 (0.06)</td><td>0.47 (0.08)</td><td>1.17 (0.13)</td><td>&lt;0.56</td><td>[0.29 (0.08)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>88</td><td>338.99559</td><td>33.96419</td><td>0.34 (0.04)</td><td>2.03 (0.06)</td><td>0.69 (0.08)</td><td>1.63 (0.13)</td><td>0.47 (0.21)</td><td>&lt;0.39</td><td>&lt;0.39</td><td>01234</td></tr><tr><td>89</td><td>338.99721</td><td>33.96495</td><td>0.41 (0.05)</td><td>3.17 (0.06)</td><td>1.32 (0.08)</td><td>3.11 (0.13)</td><td>0.62 (0.17)</td><td>0.96 (0.09)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>90</td><td>338.99882</td><td>33.96571</td><td>0.45 (0.06)</td><td>4.15 (0.06)</td><td>2.06 (0.08)</td><td>5.20 (0.13)</td><td>1.35 (0.20)</td><td>2.59 (0.12)</td><td>&lt;0.29</td><td>012345</td></tr><tr><td>91</td><td>339.00044</td><td>33.96647</td><td>0.53 (0.04)</td><td>3.61 (0.06)</td><td>1.90 (0.08)</td><td>4.81 (0.13)</td><td>1.09 (0.24)</td><td>2.97 (0.12)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>92</td><td>339.00206</td><td>33.96723</td><td>0.39 (0.04)</td><td>2.53 (0.06)</td><td>0.93 (0.08)</td><td>2.20 (0.13)</td><td>0.83 (0.20)</td><td>1.11 (0.12)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>93</td><td>339.00367</td><td>33.96799</td><td>0.33 (0.04)</td><td>1.88 (0.06)</td><td>0.55 (0.08)</td><td>1.50 (0.13)</td><td>0.59 (0.20)</td><td>0.27 (0.08)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>94</td><td>339.00529</td><td>33.96875</td><td>0.36 (0.06)</td><td>1.79 (0.06)</td><td>0.73 (0.08)</td><td>1.52 (0.13)</td><td>0.97 (0.20)</td><td>&lt;0.39</td><td>&lt;0.39</td><td>01234</td></tr></tbody></table>
<table><caption>Table 2
(Continued)</caption><thead><tr><th>Region<br>(Figure 1(b))<sup>a</sup></th><th>R.A. (J2000)<br>(deg)</th><th>Decl. (J2000)<br>(deg)</th><th>0-0 S(0) (unc.)<br>(28.2 µm)<sup>b</sup></th><th>0-0 S(1) (unc.)<br>(17.0 µm)<sup>b</sup></th><th>0-0 S(2) (unc.)<br>(12.3 µm)<sup>b</sup></th><th>0-0 S(3) (unc.)<br>(9.7 µm)<sup>b</sup></th><th>0-0 S(4) (unc.)<br>(8.0 µm)<sup>b</sup></th><th>0-0 S(5) (unc.)<br>(6.9 µm)<sup>b</sup></th><th>0-0 S(6) (unc.)<br>(6.1 µm)<sup>b</sup></th><th>Detected<br>Lines<sup>c</sup></th></tr></thead><tbody><tr><td>95</td><td>339.00691</td><td>33.96951</td><td>0.41 (0.05)</td><td>1.85 (0.06)</td><td>0.73 (0.08)</td><td>1.78 (0.13)</td><td>&lt;0.56</td><td>[0.08 (0.03)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>96</td><td>339.00853</td><td>33.97027</td><td>0.26 (0.04)</td><td>1.88 (0.06)</td><td>0.76 (0.08)</td><td>1.44 (0.13)</td><td>&lt;0.56</td><td>[0.55 (0.18)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>97</td><td>338.98821</td><td>33.96248</td><td>0.20 (0.04)</td><td>&lt;0.17</td><td>&lt;0.25</td><td>&lt;0.63</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>0</td></tr><tr><td>98</td><td>338.98982</td><td>33.96324</td><td>&lt;0.13</td><td>0.23 (0.05)</td><td>&lt;0.25</td><td>&lt;0.68</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>1</td></tr><tr><td>99</td><td>338.99144</td><td>33.96400</td><td>0.09 (0.04)</td><td>0.68 (0.06)</td><td>&lt;0.25</td><td>0.41 (0.13)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>013</td></tr><tr><td>100</td><td>338.99306</td><td>33.96476</td><td>0.22 (0.04)</td><td>1.20 (0.06)</td><td>0.19 (0.07)</td><td>0.75 (0.13)</td><td>&lt;0.56</td><td>[0.30 (0.10)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>101</td><td>338.99468</td><td>33.96553</td><td>0.27 (0.04)</td><td>1.67 (0.06)</td><td>0.48 (0.08)</td><td>1.28 (0.13)</td><td>&lt;0.56</td><td>[0.36 (0.12)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>102</td><td>338.99629</td><td>33.96629</td><td>0.39 (0.04)</td><td>2.94 (0.06)</td><td>1.04 (0.08)</td><td>2.68 (0.13)</td><td>0.48 (0.19)</td><td>1.25 (0.12)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>103</td><td>338.99791</td><td>33.96705</td><td>0.40 (0.05)</td><td>4.39 (0.06)</td><td>1.95 (0.08)</td><td>5.16 (0.13)</td><td>1.16 (0.19)</td><td>2.47 (0.13)</td><td>0.56 (0.13)</td><td>0123456</td></tr><tr><td>104</td><td>338.99953</td><td>33.96781</td><td>0.54 (0.04)</td><td>4.33 (0.06)</td><td>2.25 (0.08)</td><td>5.94 (0.13)</td><td>1.73 (0.25)</td><td>3.63 (0.14)</td><td>0.73 (0.13)</td><td>0123456</td></tr><tr><td>105</td><td>339.00114</td><td>33.96857</td><td>0.44 (0.04)</td><td>3.33 (0.06)</td><td>1.58 (0.08)</td><td>3.54 (0.13)</td><td>0.88 (0.18)</td><td>2.39 (0.14)</td><td>0.49 (0.12)</td><td>0123456</td></tr><tr><td>106</td><td>339.00276</td><td>33.96933</td><td>0.48 (0.06)</td><td>2.71 (0.06)</td><td>0.74 (0.08)</td><td>2.06 (0.13)</td><td>0.55 (0.20)</td><td>0.72 (0.09)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>107</td><td>339.00437</td><td>33.97009</td><td>0.44 (0.06)</td><td>2.34 (0.06)</td><td>0.68 (0.08)</td><td>1.85 (0.13)</td><td>0.90 (0.21)</td><td>&lt;0.39</td><td>&lt;0.39</td><td>01234</td></tr><tr><td>108</td><td>339.00599</td><td>33.97085</td><td>0.50 (0.05)</td><td>2.61 (0.06)</td><td>0.85 (0.08)</td><td>2.22 (0.13)</td><td>1.15 (0.20)</td><td>[0.69 (0.12)]</td><td>&lt;0.39</td><td>01234[5]</td></tr><tr><td>109</td><td>339.00761</td><td>33.97161</td><td>0.52 (0.06)</td><td>3.31 (0.07)</td><td>1.17 (0.08)</td><td>2.52 (0.13)</td><td>0.85 (0.22)</td><td>1.19 (0.12)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>110</td><td>338.98729</td><td>33.96382</td><td>0.20 (0.05)</td><td>0.34 (0.07)</td><td>&lt;0.25</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>01</td></tr><tr><td>111</td><td>338.98891</td><td>33.96458</td><td>&lt;0.13</td><td>0.34 (0.07)</td><td>&lt;0.25</td><td>0.75 (0.13)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>13</td></tr><tr><td>112</td><td>338.99052</td><td>33.96534</td><td>&lt;0.13</td><td>0.38 (0.08)</td><td>&lt;0.25</td><td>0.68 (0.13)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>13</td></tr><tr><td>113</td><td>338.99214</td><td>33.96610</td><td>0.15 (0.05)</td><td>0.80 (0.05)</td><td>&lt;0.25</td><td>1.06 (0.13)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>013</td></tr><tr><td>114</td><td>338.99376</td><td>33.96687</td><td>0.24 (0.04)</td><td>1.20 (0.06)</td><td>0.24 (0.08)</td><td>1.23 (0.13)</td><td>&lt;0.56</td><td>[0.49 (0.16)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>115</td><td>338.99537</td><td>33.96763</td><td>0.34 (0.04)</td><td>2.47 (0.06)</td><td>0.77 (0.08)</td><td>2.46 (0.13)</td><td>0.45 (0.19)</td><td>1.19 (0.13)</td><td>0.39 (0.07)</td><td>012345</td></tr><tr><td>116</td><td>338.99699</td><td>33.96839</td><td>0.49 (0.05)</td><td>4.31 (0.06)</td><td>1.93 (0.08)</td><td>5.86 (0.13)</td><td>1.47 (0.28)</td><td>3.34 (0.14)</td><td>0.62 (0.14)</td><td>0123456</td></tr><tr><td>117</td><td>338.99861</td><td>33.96915</td><td>0.49 (0.04)</td><td>4.54 (0.06)</td><td>2.24 (0.08)</td><td>6.43 (0.13)</td><td>1.84 (0.19)</td><td>3.54 (0.14)</td><td>0.71 (0.14)</td><td>0123456</td></tr><tr><td>118</td><td>339.00023</td><td>33.96991</td><td>0.47 (0.04)</td><td>3.71 (0.06)</td><td>1.51 (0.08)</td><td>4.45 (0.13)</td><td>1.37 (0.28)</td><td>2.62 (0.12)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>119</td><td>339.00184</td><td>33.97067</td><td>0.48 (0.06)</td><td>3.29 (0.06)</td><td>1.05 (0.08)</td><td>3.13 (0.13)</td><td>1.02 (0.20)</td><td>1.71 (0.14)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>120</td><td>339.00346</td><td>33.97143</td><td>0.54 (0.04)</td><td>3.52 (0.06)</td><td>1.32 (0.08)</td><td>3.46 (0.13)</td><td>0.94 (0.23)</td><td>1.44 (0.12)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>121</td><td>339.00507</td><td>33.97219</td><td>0.59 (0.06)</td><td>3.61 (0.06)</td><td>1.51 (0.08)</td><td>3.37 (0.13)</td><td>0.86 (0.18)</td><td>1.58 (0.14)</td><td>0.61 (0.14)</td><td>0123456</td></tr><tr><td>122</td><td>339.00669</td><td>33.97295</td><td>0.48 (0.04)</td><td>3.69 (0.05)</td><td>1.47 (0.08)</td><td>3.03 (0.13)</td><td>0.99 (0.18)</td><td>1.66 (0.12)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>123</td><td>338.98637</td><td>33.96516</td><td>0.22 (0.05)</td><td>0.25 (0.04)</td><td>&lt;0.25</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>01</td></tr><tr><td>124</td><td>338.98799</td><td>33.96592</td><td>0.12 (0.05)</td><td>0.33 (0.08)</td><td>&lt;0.25</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>01</td></tr><tr><td>125</td><td>338.98961</td><td>33.96669</td><td>0.02 (0.05)</td><td>0.32 (0.06)</td><td>&lt;0.25</td><td>0.57 (0.13)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>13</td></tr><tr><td>126</td><td>338.99123</td><td>33.96745</td><td>&lt;0.13</td><td>0.60 (0.05)</td><td>&lt;0.25</td><td>0.59 (0.13)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>13</td></tr><tr><td>127</td><td>338.99284</td><td>33.96821</td><td>0.22 (0.05)</td><td>0.81 (0.06)</td><td>&lt;0.25</td><td>0.69 (0.13)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>013</td></tr><tr><td>128</td><td>338.99446</td><td>33.96897</td><td>0.25 (0.05)</td><td>1.77 (0.06)</td><td>0.47 (0.08)</td><td>1.43 (0.13)</td><td>0.68 (0.17)</td><td>&lt;0.39</td><td>&lt;0.39</td><td>01234</td></tr><tr><td>129</td><td>338.99607</td><td>33.96973</td><td>0.47 (0.05)</td><td>3.51 (0.06)</td><td>1.23 (0.08)</td><td>3.31 (0.13)</td><td>0.83 (0.19)</td><td>1.74 (0.13)</td><td>0.54 (0.13)</td><td>0123456</td></tr><tr><td>130</td><td>338.99769</td><td>33.97049</td><td>0.48 (0.05)</td><td>4.10 (0.06)</td><td>1.80 (0.08)</td><td>4.73 (0.13)</td><td>1.30 (0.19)</td><td>2.29 (0.13)</td><td>0.71 (0.13)</td><td>0123456</td></tr><tr><td>131</td><td>338.99931</td><td>33.97125</td><td>0.50 (0.04)</td><td>3.65 (0.06)</td><td>1.46 (0.08)</td><td>3.81 (0.13)</td><td>1.08 (0.18)</td><td>1.90 (0.14)</td><td>0.53 (0.14)</td><td>0123456</td></tr><tr><td>132</td><td>339.00092</td><td>33.97201</td><td>0.56 (0.04)</td><td>3.75 (0.06)</td><td>1.38 (0.08)</td><td>3.70 (0.13)</td><td>0.80 (0.18)</td><td>1.87 (0.14)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>133</td><td>339.00254</td><td>33.97277</td><td>0.53 (0.04)</td><td>3.58 (0.06)</td><td>1.58 (0.08)</td><td>3.76 (0.13)</td><td>1.25 (0.18)</td><td>1.46 (0.13)</td><td>0.90 (0.13)</td><td>0123456</td></tr><tr><td>134</td><td>339.00416</td><td>33.97354</td><td>0.62 (0.05)</td><td>3.59 (0.06)</td><td>1.66 (0.08)</td><td>3.58 (0.13)</td><td>1.51 (0.18)</td><td>1.46 (0.13)</td><td>1.26 (0.13)</td><td>0123456</td></tr><tr><td>135</td><td>339.00578</td><td>33.97430</td><td>0.44 (0.04)</td><td>3.56 (0.05)</td><td>0.98 (0.08)</td><td>2.03 (0.17)</td><td>0.83 (0.19)</td><td>[1.19 (0.14)]</td><td>&lt;0.39</td><td>01234[5]</td></tr><tr><td>136</td><td>338.98869</td><td>33.96803</td><td>0.13 (0.05)</td><td>0.31 (0.06)</td><td>&lt;0.25</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>01</td></tr><tr><td>137</td><td>338.99031</td><td>33.96879</td><td>0.14 (0.05)</td><td>0.40 (0.06)</td><td>&lt;0.25</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>01</td></tr><tr><td>138</td><td>338.99192</td><td>33.96955</td><td>0.13 (0.06)</td><td>0.66 (0.05)</td><td>&lt;0.25</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>01</td></tr><tr><td>139</td><td>338.99354</td><td>33.97031</td><td>0.23 (0.05)</td><td>0.98 (0.06)</td><td>0.52 (0.08)</td><td>0.61 (0.13)</td><td>&lt;0.56</td><td>[0.51 (0.17)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>140</td><td>338.99516</td><td>33.97107</td><td>0.26 (0.06)</td><td>1.90 (0.06)</td><td>0.55 (0.09)</td><td>1.49 (0.13)</td><td>&lt;0.56</td><td>[0.50 (0.17)]</td><td>&lt;0.39</td><td>0123[5]</td></tr></tbody></table>
<table><caption>Table 2
(Continued)</caption><thead><tr><th>Region<br>(Figure 1(b))<sup>a</sup></th><th>R.A. (J2000)<br>(deg)</th><th>Decl. (J2000)<br>(deg)</th><th>0-0 S(0) (unc.)<br>(28.2 µm)<sup>b</sup></th><th>0-0 S(1) (unc.)<br>(17.0 µm)<sup>b</sup></th><th>0-0 S(2) (unc.)<br>(12.3 µm)<sup>b</sup></th><th>0-0 S(3) (unc.)<br>(9.7 µm)<sup>b</sup></th><th>0-0 S(4) (unc.)<br>(8.0 µm)<sup>b</sup></th><th>0-0 S(5) (unc.)<br>(6.9 µm)<sup>b</sup></th><th>0-0 S(6) (unc.)<br>(6.1 µm)<sup>b</sup></th><th>Detected<br>Lines<sup>c</sup></th></tr></thead><tbody><tr><td>141</td><td>338.99677</td><td>33.97183</td><td>0.38 (0.04)</td><td>3.10 (0.06)</td><td>1.10 (0.08)</td><td>3.05 (0.13)</td><td>&lt;0.56</td><td>1.19 (0.13)</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>142</td><td>338.99839</td><td>33.97259</td><td>0.64 (0.06)</td><td>4.39 (0.06)</td><td>1.94 (0.08)</td><td>4.74 (0.13)</td><td>0.93 (0.17)</td><td>2.53 (0.06)</td><td>0.63 (0.06)</td><td>0123456</td></tr><tr><td>143</td><td>339.00001</td><td>33.97335</td><td>0.66 (0.04)</td><td>4.04 (0.06)</td><td>1.82 (0.08)</td><td>4.71 (0.13)</td><td>1.16 (0.21)</td><td>2.45 (0.05)</td><td>0.83 (0.06)</td><td>0123456</td></tr><tr><td>144</td><td>339.00162</td><td>33.97411</td><td>0.50 (0.04)</td><td>3.33 (0.06)</td><td>0.85 (0.08)</td><td>2.46 (0.13)</td><td>0.85 (0.17)</td><td>0.92 (0.13)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>145</td><td>339.00324</td><td>33.97488</td><td>0.51 (0.05)</td><td>3.15 (0.06)</td><td>0.67 (0.09)</td><td>1.96 (0.13)</td><td>1.09 (0.17)</td><td>&lt;0.39</td><td>&lt;0.39</td><td>01234</td></tr><tr><td>146</td><td>339.00486</td><td>33.97564</td><td>0.46 (0.06)</td><td>1.98 (0.06)</td><td>0.51 (0.08)</td><td>1.27 (0.13)</td><td>0.67 (0.17)</td><td>1.43 (0.13)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>147</td><td>338.98777</td><td>33.96937</td><td>0.20 (0.05)</td><td>0.41 (0.06)</td><td>0.39 (0.09)</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>012</td></tr><tr><td>148</td><td>338.98939</td><td>33.97013</td><td>&lt;0.13</td><td>0.37 (0.06)</td><td>&lt;0.25</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>1</td></tr><tr><td>149</td><td>338.99100</td><td>33.97089</td><td>&lt;0.13</td><td>0.48 (0.05)</td><td>0.36 (0.08)</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>12</td></tr><tr><td>150</td><td>338.99262</td><td>33.97165</td><td>0.16 (0.04)</td><td>0.67 (0.05)</td><td>0.57 (0.08)</td><td>0.36 (0.13)</td><td>&lt;0.56</td><td>[0.85 (0.28)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>151</td><td>338.99424</td><td>33.97241</td><td>0.23 (0.06)</td><td>1.29 (0.06)</td><td>0.56 (0.08)</td><td>0.85 (0.13)</td><td>&lt;0.56</td><td>[0.61 (0.20)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>152</td><td>338.99585</td><td>33.97317</td><td>0.36 (0.04)</td><td>2.98 (0.06)</td><td>0.94 (0.08)</td><td>2.21 (0.15)</td><td>&lt;0.56</td><td>[0.86 (0.29)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>153</td><td>338.99747</td><td>33.97393</td><td>0.63 (0.06)</td><td>4.65 (0.06)</td><td>2.29 (0.08)</td><td>4.70 (0.15)</td><td>1.15 (0.17)</td><td>2.64 (0.14)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>154</td><td>338.99909</td><td>33.97469</td><td>0.69 (0.04)</td><td>4.54 (0.06)</td><td>2.00 (0.08)</td><td>4.17 (0.16)</td><td>0.97 (0.20)</td><td>2.92 (0.14)</td><td>0.82 (0.14)</td><td>0123456</td></tr><tr><td>155</td><td>339.00070</td><td>33.97545</td><td>0.54 (0.04)</td><td>3.30 (0.06)</td><td>1.10 (0.08)</td><td>1.88 (0.18)</td><td>0.49 (0.17)</td><td>&lt;0.39</td><td>&lt;0.39</td><td>01234</td></tr><tr><td>156</td><td>339.00232</td><td>33.97622</td><td>0.41 (0.04)</td><td>1.99 (0.06)</td><td>0.64 (0.08)</td><td>0.99 (0.12)</td><td>0.71 (0.16)</td><td>&lt;0.39</td><td>&lt;0.39</td><td>01234</td></tr><tr><td>157</td><td>339.00394</td><td>33.97698</td><td>0.36 (0.06)</td><td>1.45 (0.06)</td><td>0.55 (0.08)</td><td>0.71 (0.13)</td><td>0.36 (0.16)</td><td>&lt;0.39</td><td>&lt;0.39</td><td>01234</td></tr><tr><td>158</td><td>338.98685</td><td>33.97071</td><td>0.14 (0.04)</td><td>0.27 (0.06)</td><td>0.18 (0.09)</td><td>0.34 (0.13)</td><td>&lt;0.56</td><td>[0.54 (0.18)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>159</td><td>338.98847</td><td>33.97147</td><td>&lt;0.13</td><td>0.28 (0.06)</td><td>&lt;0.25</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>1</td></tr><tr><td>160</td><td>338.99009</td><td>33.97223</td><td>&lt;0.13</td><td>0.48 (0.06)</td><td>&lt;0.25</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>1</td></tr><tr><td>161</td><td>338.99170</td><td>33.97299</td><td>&lt;0.13</td><td>0.57 (0.06)</td><td>0.28 (0.08)</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>12</td></tr><tr><td>162</td><td>338.99332</td><td>33.97375</td><td>0.25 (0.04)</td><td>1.04 (0.05)</td><td>0.26 (0.07)</td><td>0.76 (0.12)</td><td>&lt;0.56</td><td>[0.38 (0.13)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>163</td><td>338.99494</td><td>33.97451</td><td>0.31 (0.04)</td><td>2.03 (0.06)</td><td>0.59 (0.08)</td><td>0.95 (0.12)</td><td>&lt;0.56</td><td>[0.92 (0.31)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>164</td><td>338.99655</td><td>33.97527</td><td>0.55 (0.05)</td><td>3.80 (0.06)</td><td>1.43 (0.08)</td><td>2.84 (0.12)</td><td>0.74 (0.20)</td><td>1.65 (0.13)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>165</td><td>338.99817</td><td>33.97604</td><td>0.57 (0.04)</td><td>4.26 (0.06)</td><td>1.82 (0.08)</td><td>3.57 (0.13)</td><td>1.24 (0.20)</td><td>2.42 (0.14)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>166</td><td>338.99979</td><td>33.97680</td><td>0.55 (0.04)</td><td>2.97 (0.06)</td><td>1.38 (0.08)</td><td>2.53 (0.13)</td><td>0.48 (0.17)</td><td>1.72 (0.14)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>167</td><td>339.00140</td><td>33.97756</td><td>0.40 (0.04)</td><td>1.90 (0.06)</td><td>0.77 (0.08)</td><td>1.12 (0.12)</td><td>0.45 (0.20)</td><td>1.03 (0.05)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>168</td><td>339.00302</td><td>33.97832</td><td>0.33 (0.04)</td><td>1.50 (0.06)</td><td>0.55 (0.08)</td><td>0.88 (0.17)</td><td>0.42 (0.17)</td><td>&lt;0.39</td><td>&lt;0.39</td><td>01234</td></tr><tr><td>169</td><td>338.98594</td><td>33.97205</td><td>0.16 (0.04)</td><td>0.58 (0.05)</td><td>0.17 (0.07)</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>012</td></tr><tr><td>170</td><td>338.98755</td><td>33.97281</td><td>0.26 (0.05)</td><td>0.50 (0.06)</td><td>0.41 (0.07)</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>012</td></tr><tr><td>171</td><td>338.98917</td><td>33.97357</td><td>0.18 (0.04)</td><td>0.54 (0.06)</td><td>0.31 (0.08)</td><td>0.50 (0.13)</td><td>&lt;0.56</td><td>[0.90 (0.30)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>172</td><td>338.99079</td><td>33.97433</td><td>0.13 (0.04)</td><td>0.62 (0.06)</td><td>0.24 (0.07)</td><td>0.40 (0.13)</td><td>&lt;0.56</td><td>[0.84 (0.28)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>173</td><td>338.99240</td><td>33.97509</td><td>0.27 (0.04)</td><td>1.10 (0.05)</td><td>0.16 (0.07)</td><td>0.59 (0.15)</td><td>&lt;0.56</td><td>[0.52 (0.17)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>174</td><td>338.99402</td><td>33.97585</td><td>0.37 (0.04)</td><td>1.85 (0.06)</td><td>0.41 (0.08)</td><td>0.93 (0.13)</td><td>&lt;0.56</td><td>0.48 (0.13)</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>175</td><td>338.99564</td><td>33.97661</td><td>0.64 (0.06)</td><td>2.82 (0.06)</td><td>1.04 (0.08)</td><td>1.81 (0.13)</td><td>0.34 (0.18)</td><td>0.98 (0.13)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>176</td><td>338.99725</td><td>33.97738</td><td>0.72 (0.06)</td><td>3.23 (0.06)</td><td>1.52 (0.08)</td><td>2.58 (0.13)</td><td>1.51 (0.18)</td><td>1.68 (0.14)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>177</td><td>338.99887</td><td>33.97814</td><td>0.60 (0.04)</td><td>2.95 (0.06)</td><td>1.16 (0.09)</td><td>2.45 (0.13)</td><td>0.61 (0.21)</td><td>1.43 (0.14)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>178</td><td>339.00049</td><td>33.97890</td><td>0.49 (0.04)</td><td>2.32 (0.06)</td><td>0.70 (0.10)</td><td>1.60 (0.14)</td><td>0.63 (0.20)</td><td>1.66 (0.14)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>179</td><td>339.00210</td><td>33.97966</td><td>0.44 (0.04)</td><td>2.07 (0.06)</td><td>0.62 (0.12)</td><td>0.62 (0.13)</td><td>&lt;0.56</td><td>1.51 (0.14)</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>180</td><td>338.98502</td><td>33.97339</td><td>0.24 (0.05)</td><td>0.60 (0.05)</td><td>0.40 (0.08)</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>012</td></tr><tr><td>181</td><td>338.98663</td><td>33.97415</td><td>0.26 (0.04)</td><td>0.67 (0.06)</td><td>0.47 (0.07)</td><td>&lt;0.38</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>012</td></tr><tr><td>182</td><td>338.98825</td><td>33.97491</td><td>0.31 (0.04)</td><td>1.14 (0.06)</td><td>0.61 (0.10)</td><td>0.76 (0.13)</td><td>&lt;0.56</td><td>0.64 (0.14)</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>183</td><td>338.98987</td><td>33.97567</td><td>0.42 (0.04)</td><td>1.68 (0.06)</td><td>0.64 (0.08)</td><td>1.06 (0.13)</td><td>&lt;0.56</td><td>0.63 (0.10)</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>184</td><td>338.99148</td><td>33.97643</td><td>0.48 (0.04)</td><td>1.86 (0.06)</td><td>0.57 (0.08)</td><td>0.77 (0.13)</td><td>&lt;0.56</td><td>[1.17 (0.39)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>185</td><td>338.99310</td><td>33.97719</td><td>0.74 (0.06)</td><td>2.11 (0.06)</td><td>0.57 (0.08)</td><td>0.93 (0.13)</td><td>&lt;0.56</td><td>0.77 (0.10)</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>186</td><td>338.99472</td><td>33.97795</td><td>0.61 (0.04)</td><td>2.48 (0.06)</td><td>0.81 (0.08)</td><td>1.35 (0.13)</td><td>0.42 (0.17)</td><td>0.98 (0.10)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>187</td><td>338.99633</td><td>33.97872</td><td>0.83 (0.04)</td><td>3.37 (0.06)</td><td>1.27 (0.08)</td><td>2.08 (0.13)</td><td>0.40 (0.18)</td><td>1.55 (0.13)</td><td>0.50 (0.15)</td><td>0123456</td></tr></tbody></table>
<table><caption>Table 2
(Continued)</caption><thead><tr><th>Region<br>(Figure 1(b))<sup>a</sup></th><th>R.A. (J2000)<br>(deg)</th><th>Decl. (J2000)<br>(deg)</th><th>0–0 S(0) (unc.)<br>(28.2 µm)<sup>b</sup></th><th>0–0 S(1) (unc.)<br>(17.0 µm)<sup>b</sup></th><th>0–0 S(2) (unc.)<br>(12.3 µm)<sup>b</sup></th><th>0–0 S(3) (unc.)<br>(9.7 µm)<sup>b</sup></th><th>0–0 S(4) (unc.)<br>(8.0 µm)<sup>b</sup></th><th>0–0 S(5) (unc.)<br>(6.9 µm)<sup>b</sup></th><th>0–0 S(6) (unc.)<br>(6.1 µm)<sup>b</sup></th><th>Detected<br>Lines<sup>c</sup></th></tr></thead><tbody><tr><td>188</td><td>338.99795</td><td>33.97948</td><td>0.75 (0.04)</td><td>3.55 (0.06)</td><td>1.05 (0.08)</td><td>2.06 (0.13)</td><td>0.57 (0.18)</td><td>&lt;0.39</td><td>&lt;0.39</td><td>01234</td></tr><tr><td>189</td><td>338.99957</td><td>33.98024</td><td>0.80 (0.06)</td><td>2.92 (0.06)</td><td>0.87 (0.08)</td><td>1.98 (0.13)</td><td>0.63 (0.21)</td><td>1.49 (0.13)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>190</td><td>339.00119</td><td>33.98100</td><td>0.58 (0.06)</td><td>2.40 (0.06)</td><td>0.89 (0.08)</td><td>1.19 (0.18)</td><td>&lt;0.56</td><td>1.38 (0.13)</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>191</td><td>338.98410</td><td>33.97473</td><td>0.18 (0.04)</td><td>0.52 (0.06)</td><td>0.59 (0.08)</td><td>0.31 (0.15)</td><td>&lt;0.56</td><td>[0.59 (0.20)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>192</td><td>338.98572</td><td>33.97549</td><td>0.29 (0.04)</td><td>0.89 (0.06)</td><td>0.77 (0.08)</td><td>0.71 (0.13)</td><td>&lt;0.56</td><td>[0.86 (0.29)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>193</td><td>338.98733</td><td>33.97625</td><td>0.39 (0.06)</td><td>1.64 (0.05)</td><td>1.01 (0.08)</td><td>0.90 (0.13)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>194</td><td>338.98895</td><td>33.97701</td><td>0.62 (0.05)</td><td>2.21 (0.06)</td><td>1.42 (0.08)</td><td>1.78 (0.13)</td><td>&lt;0.56</td><td>1.42 (0.13)</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>195</td><td>338.99057</td><td>33.97777</td><td>0.65 (0.05)</td><td>2.63 (0.06)</td><td>1.32 (0.08)</td><td>1.79 (0.13)</td><td>0.57 (0.18)</td><td>2.08 (0.13)</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>196</td><td>338.99218</td><td>33.97854</td><td>0.81 (0.04)</td><td>2.84 (0.07)</td><td>1.17 (0.08)</td><td>1.74 (0.13)</td><td>&lt;0.56</td><td>1.65 (0.13)</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>197</td><td>338.99380</td><td>33.97930</td><td>1.00 (0.04)</td><td>3.73 (0.06)</td><td>1.38 (0.08)</td><td>2.10 (0.13)</td><td>0.33 (0.17)</td><td>0.71 (0.13)</td><td>0.50 (0.13)</td><td>0123456</td></tr><tr><td>198</td><td>338.99542</td><td>33.98006</td><td>1.24 (0.04)</td><td>4.70 (0.06)</td><td>1.87 (0.08)</td><td>3.04 (0.13)</td><td>0.57 (0.17)</td><td>1.63 (0.13)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>199</td><td>338.99703</td><td>33.98082</td><td>0.93 (0.06)</td><td>4.12 (0.06)</td><td>1.77 (0.08)</td><td>3.16 (0.13)</td><td>0.50 (0.17)</td><td>1.56 (0.13)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>200</td><td>338.99865</td><td>33.98158</td><td>0.69 (0.06)</td><td>3.13 (0.06)</td><td>1.43 (0.08)</td><td>2.39 (0.13)</td><td>&lt;0.56</td><td>1.23 (0.13)</td><td>&lt;0.39</td><td>01235</td></tr><tr><td>201</td><td>339.00027</td><td>33.98234</td><td>0.53 (0.06)</td><td>2.48 (0.06)</td><td>1.20 (0.08)</td><td>1.44 (0.17)</td><td>&lt;0.56</td><td>[0.95 (0.32)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>202</td><td>338.98318</td><td>33.97607</td><td>0.11 (0.04)</td><td>0.49 (0.06)</td><td>0.66 (0.08)</td><td>0.57 (0.13)</td><td>&lt;0.56</td><td>&lt;0.39</td><td>&lt;0.39</td><td>123</td></tr><tr><td>203</td><td>338.98480</td><td>33.97683</td><td>0.30 (0.05)</td><td>1.07 (0.06)</td><td>0.43 (0.08)</td><td>1.21 (0.13)</td><td>&lt;0.56</td><td>[1.00 (0.33)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>204</td><td>338.98642</td><td>33.97759</td><td>0.47 (0.06)</td><td>1.60 (0.06)</td><td>0.53 (0.08)</td><td>1.02 (0.13)</td><td>&lt;0.56</td><td>[0.68 (0.23)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>205</td><td>338.98803</td><td>33.97835</td><td>0.56 (0.05)</td><td>2.34 (0.06)</td><td>0.96 (0.08)</td><td>1.90 (0.13)</td><td>&lt;0.56</td><td>[1.04 (0.35)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>206</td><td>338.98965</td><td>33.97911</td><td>0.67 (0.06)</td><td>2.94 (0.06)</td><td>1.29 (0.08)</td><td>2.21 (0.13)</td><td>1.47 (0.19)</td><td>&lt;0.39</td><td>&lt;0.39</td><td>01234</td></tr><tr><td>207</td><td>338.99127</td><td>33.97988</td><td>0.96 (0.04)</td><td>4.56 (0.06)</td><td>1.68 (0.08)</td><td>2.98 (0.13)</td><td>1.93 (0.19)</td><td>1.07 (0.13)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>208</td><td>338.99288</td><td>33.98064</td><td>1.30 (0.06)</td><td>4.60 (0.06)</td><td>1.61 (0.08)</td><td>3.29 (0.13)</td><td>2.08 (0.22)</td><td>1.63 (0.13)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>209</td><td>338.99450</td><td>33.98140</td><td>1.22 (0.06)</td><td>4.93 (0.06)</td><td>1.79 (0.08)</td><td>3.79 (0.13)</td><td>1.57 (0.21)</td><td>2.26 (0.13)</td><td>&lt;0.39</td><td>012345</td></tr><tr><td>210</td><td>338.99612</td><td>33.98216</td><td>1.19 (0.04)</td><td>4.91 (0.06)</td><td>1.85 (0.08)</td><td>3.52 (0.13)</td><td>&lt;0.56</td><td>[2.27 (0.76)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>211</td><td>338.99773</td><td>33.98292</td><td>0.70 (0.06)</td><td>3.50 (0.06)</td><td>1.38 (0.08)</td><td>1.95 (0.13)</td><td>&lt;0.56</td><td>[1.50 (0.50)]</td><td>&lt;0.39</td><td>0123[5]</td></tr><tr><td>212</td><td>338.99935</td><td>33.98368</td><td>0.43 (0.04)</td><td>1.89 (0.06)</td><td>0.96 (0.08)</td><td>1.33 (0.13)</td><td>&lt;0.56</td><td>[0.97 (0.32)]</td><td>&lt;0.39</td><td>0123[5]</td></tr></tbody></table>

Notes.

a Extracted over regions defined in Figure 1(b) and of area $5.1 \times 5.1$ arcsec$^2$.

b $1\sigma$ uncertainties derived from PAHFIT.

c Lines detected 0 = 0–0 S(0), 1 = 0–0 S(1) etc. Square brackets denote “marginal detection” used to help constrain two-temperature fits in a minority of cases. Those fluxes are also denoted by square brackets.

d $3\sigma$ upper limits.
<figure><img src="image_4.png" /><figcaption>**Figure 3.** Herschel integrated map (contours) of the [C II] emission in Stephan's Quintet obtained with the PACS spectrometer. The map is a combination of three overlapping pointings of the IFU into one single image. The blue outline marks the edge of the mapping area (contours extend slightly beyond these boundaries because of contour interpolation). The [C II] emission extends along the main north-south filament (including the extragalactic star-forming region known as the SQ-A), as well defining part of the bridge seen the Spitzer data, which extends toward the nucleus of the galaxy NGC 7319. Contour are 5, 7.5, 10, 12.5, 15, 17.5, 19, 21, and 25 in units of $1.2 \times 10^{-19} \text{ W m}^{-2} \text{ pix}^{-1}$.</figcaption></figure>

two-dimensional IRS mapping of the Quintet. The first is a traditional method of fitting single- or multiple-temperature components to the excitation diagrams. This method is commonly used in H₂ studies of galaxies. A second method is an extension of this idea, assuming that most galaxy excitation diagrams can be modeled as a single power-law distribution of temperatures. Both of these approaches assume that the gas is in thermal equilibrium. A third method assumes that the excitation of the warm H₂ is caused primarily by C- or J-shocks (or a combination of the two) following the methodology of Lesaffre et al. (2013). Arguments strongly in favor of shock excitation over other heating sources have been made in previous works (see particularly Appleton et al. 2006, 2013; Guillard et al. 2009; Cluver et al. 2010; Lesaffre et al. 2013). In this case, local thermodynamic equilibrium (LTE) conditions are not assumed in the derived properties of the warm gas.

## 4.1. Fitting One- or Two-temperature Models to the Excitation Diagrams

The transitions we are considering are to the lowest ground-state pure-rotational states of H₂, e.g., 0–0 S(0)λ = 28.22 µm (corresponding to J = 2–0), 0–0 S(1)λ = 17.04 µm (corresponding to J = 3–1), and 0–0 S(2) to 0–0 S(6)λ = 6.11 µm. These transitions radiate in the wavelength range detectable with the Spitzer IRS<fnref n="12" /> Assuming that the mid-IR lines are optically thin, the column density of the upper level of each pure-rotational transition is measured observationally from the spectral line flux F of a given transition according to $N_u = 4\pi F/(h\nu A\Omega)$, where h is Planck's constant, ν is the frequency of the transition, A is the Einstein coefficient for the transition, and Ω is the solid angle of the observed region. In

LTE, the column density of the upper level is related to both the excitation temperature T and the total column density $N_{\text{tot}}$ via $N_u/g_u = N_{\text{tot}} \exp(-E_u/kT)/Z(T)$, where $E_u$ is the energy of the upper level transition, k is Boltzmann's constant, and $Z(T)$ is the partition function.<fnref n="13" /> $g_u = (2S + 1)(2J + 1)$ is the statistical weight of the transition, and $E_u$ is the energy of a particular upper level transition. For $g_u$, S is the spin number for a given J transition, where S = 0 for even J (called para-hydrogen) and S = 1 for odd J (ortho-hydrogen). The H₂ excitation diagram is usually presented as a plot of $\log_e(N_u/g_u)$ versus $E_u/k$, and is convenient because, for a single excitation temperature, the slope of a line fit to these points would be proportional to $T^{-1}$.

It is generally assumed that, for the lower pure-rotational H₂ transitions, the ortho- and para-H₂ species should be in collisional equilibrium. As shown by Roussel et al. (2007) for H₂ densities $\ge 10^3 \text{ cm}^{-3}$, most of the lower rotational transitions should be thermalized, and temperatures derived from fits to the ortho- and para-H₂ transitions should be consistent. Burton et al. (1992) showed that in collisional equilibrium, the ortho-to-para ratio (OPR) increases from about unity at T = 75 K to a constant value of 3 at T > 250 K. Since most of the temperatures we derive from the excitation fitting are in the range $120 < T < 600$ K, the equilibrium values of OPR assumed are between 1.8 and 3. After normalizing for this factor, significant deviations from LTE would appear as an offset between the odd and even H₂ transitions when plotted on an excitation diagram. We see no evidence for deviations from equilibrium in any of our observations (see also Paper 1).

A single-temperature fit is usually not found to be realistic, since the excitation diagrams are rarely consistent with a straight line and are often curved. In most cases a two-temperature fit offers a reasonable solution. In the literature, this is a very common approach because it provides a first approximation to the temperatures, column densities, and total H₂ masses derived from the observations. We will generalize this approach later in the paper to consider a power-law distribution of temperatures. However, we will begin with a simple one- or two-temperature fit to these data, under the assumption of LTE. This approach yields interesting insight into the excitation of the gas across this large-scale filament.

Single-temperature solutions were found where there were not enough points to justify a two-temperature fit (22% of these data; see Table 3 for details), and two-temperature solutions were obtained for the other cases. The process for fitting a two-temperature LTE model to these data is iterative. First we create an initial excitation diagram with the line fluxes (from Table 2). Initially we assume an OPR of 3 to obtain a first approximation to the temperature, minimizing the chi-squared deviations for a two-temperature model. Once the chi-squared values are minimized, we assume those temperatures as a first guess and adjust the OPR appropriate for LTE from Burton et al. (1992) and re-run. This process is repeated for several iterations until best-fit values for the temperature and column density are determined. Figure 4 shows an examples of such a fit for a point near the center of the filament. The results of the fitting for the extraction regions of Figure 1(b) are presented in Table 3. For the minority of observations where the 0–0 S(0) line was not detected, we provide a range of possible temperatures for the gas. We use both a regular fit to the

<footnote n="12">¹² For the Quintet, transitions shortward of the 0–0 S(6) line were not detected.</footnote>

<footnote n="13">¹³ We assume $Z(T) = 0.0247T/(1-\exp(-6000 \text{ K}/T))$.</footnote>
<table><caption>**Table 3**

Results from One- or Two-temperature Fitting of the Warm Molecular Hydrogen</caption><thead><tr><th>Region<sup>a</sup></th><th>T<sub>1</sub> (unc.)<sup>b</sup><br>(K)</th><th>OPR<sub>1</sub></th><th>N(H<sub>2</sub>)<sub>1</sub><br>(10<sup>19</sup> cm<sup>-2</sup>)</th><th>Σ(H<sub>2</sub>)<sub>1</sub> (unc.)<sup>b</sup><br>(10<sup>6</sup> M<sub>☉</sub> kpc<sup>-2</sup>)</th><th>T<sub>2</sub> (unc.)<sup>b</sup><br>(K)</th><th>OPR<sub>2</sub></th><th>N(H<sub>2</sub>)<sub>2</sub><br>(10<sup>17</sup> cm<sup>-2</sup>)</th><th>Σ(H<sub>2</sub>)<sub>2</sub> (unc.)<sup>b</sup><br>(10<sup>4</sup> M<sub>☉</sub> kpc<sup>-2</sup>)</th><th>Lines<br>(0-0 S(...))</th></tr></thead><tbody><tr><td>3</td><td>154-805<sup>c</sup></td><td>2.5-3.0<sup>c</sup></td><td>2.5-0.05<sup>c</sup></td><td>0.4-0.08<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>12</td></tr><tr><td>4</td><td>223-425<sup>c</sup></td><td>2.9-3.0<sup>c</sup></td><td>1.13-0.24<sup>c</sup></td><td>0.18-0.04<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>123</td></tr><tr><td>5</td><td>205-361<sup>c</sup></td><td>2.9-3.0<sup>c</sup></td><td>1.44-0.28<sup>c</sup></td><td>0.23-0.04<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>123</td></tr><tr><td>8</td><td>199-439<sup>c</sup></td><td>2.8-3.0<sup>c</sup></td><td>1.51-0.18<sup>c</sup></td><td>0.24-0.03<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>135</td></tr><tr><td>9</td><td>187-426<sup>c</sup></td><td>2.79-3.0<sup>c</sup></td><td>1.69-0.2<sup>c</sup></td><td>0.27-0.03<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>123</td></tr><tr><td>10</td><td>154-398<sup>c</sup></td><td>2.54-2.99<sup>c</sup></td><td>4.3-0.2<sup>c</sup></td><td>0.69-0.3<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>135</td></tr><tr><td>12</td><td>184-372<sup>c</sup></td><td>2.77-3.0<sup>c</sup></td><td>1.74-0.2<sup>c</sup></td><td>0.28-0.03<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>123</td></tr><tr><td>13</td><td>227 (34)</td><td>2.94</td><td>1.67</td><td>0.27 (0.16)</td><td>732 (73)</td><td>3.0</td><td>2.50</td><td>0.39 (0.08)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>14</td><td>215 (32)</td><td>2.89</td><td>2.28</td><td>0.37 (0.22)</td><td>906 (91)</td><td>3.0</td><td>3.20</td><td>0.51 (0.10)</td><td>0123456</td></tr><tr><td>15</td><td>276 (41)</td><td>2.98</td><td>0.86</td><td>0.14 (0.08)</td><td>1500 (150)</td><td>3.0</td><td>0.50</td><td>0.01 (0.00)</td><td>0123456</td></tr><tr><td>16</td><td>217 (33)</td><td>2.90</td><td>1.30</td><td>0.23 (0.14)</td><td>640 (64)</td><td>3.0</td><td>2.60</td><td>0.42 (0.08)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>17</td><td>179 (27)</td><td>2.75</td><td>2.72</td><td>0.40 (0.24)</td><td>620 (62)</td><td>3.0</td><td>6.70</td><td>1.07 (0.21)</td><td>012345</td></tr><tr><td>18</td><td>217-382<sup>c</sup></td><td>2.9-3.0<sup>c</sup></td><td>1.16-0.25<sup>c</sup></td><td>0.18-0.04<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>123</td></tr><tr><td>19</td><td>173-455<sup>c</sup></td><td>2.7-3.0<sup>c</sup></td><td>1.95-0.11<sup>c</sup></td><td>0.31-0.02<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>12</td></tr><tr><td>20</td><td>208 (31)</td><td>2.88</td><td>0.88</td><td>0.83 (0.33)</td><td>817 (82)</td><td>3.0</td><td>6.30</td><td>1.01 (0.20)</td><td>012345</td></tr><tr><td>21</td><td>147-825<sup>c</sup></td><td>2.45-3.0<sup>c</sup></td><td>2.81-0.04<sup>c</sup></td><td>0.45-0.06<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>12</td></tr><tr><td>22</td><td>196-378</td><td>2.8-3.0<sup>c</sup></td><td>1.55-0.22<sup>c</sup></td><td>0.25-0.04<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>123</td></tr><tr><td>23</td><td>138 (21)</td><td>2.30</td><td>3.86</td><td>0.62 (0.25)</td><td>407 (41)</td><td>3.0</td><td>29.00</td><td>4.66 (0.93)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>24</td><td>346 (52)</td><td>3.00</td><td>0.60</td><td>0.10 (0.06)</td><td>1500 (150)</td><td>3.0</td><td>0.30</td><td>0.04 (0.02)</td><td>01235</td></tr><tr><td>25</td><td>334 (50)</td><td>2.99</td><td>0.61</td><td>0.10 (0.06)</td><td>1461 (146)</td><td>3.0</td><td>0.30</td><td>0.05 (0.03)</td><td>01235</td></tr><tr><td>26</td><td>340 (51)</td><td>3.00</td><td>0.43</td><td>0.10 (0.06)</td><td>1500 (150)</td><td>3.0</td><td>0.20</td><td>0.03 (0.01)</td><td>01235</td></tr><tr><td>27</td><td>203-476<sup>c</sup></td><td>2.9-3.0<sup>c</sup></td><td>1.47-0.11<sup>c</sup></td><td>0.23-0.02<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>135</td></tr><tr><td>28</td><td>197-326<sup>c</sup></td><td>2.83-2.99<sup>c</sup></td><td>1.55-0.3<sup>c</sup></td><td>0.25-0.05<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>135</td></tr><tr><td>29</td><td>175-476<sup>c</sup></td><td>2.73-3.0<sup>c</sup></td><td>1.89-0.01<sup>c</sup></td><td>0.46-0.02<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>12</td></tr><tr><td>30</td><td>165-655<sup>c</sup></td><td>2.6-3.0<sup>c</sup></td><td>2.17-0.07<sup>c</sup></td><td>0.35-0.01<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>12</td></tr><tr><td>31</td><td>135 (20)</td><td>2.1</td><td>3.1</td><td>0.5</td><td>...</td><td>...</td><td>...</td><td>...</td><td>01</td></tr><tr><td>32</td><td>163-348</td><td>2.6-3.0<sup>c</sup></td><td>1.73-0.13<sup>c</sup></td><td>0.28-0.02<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>12</td></tr><tr><td>33</td><td>193 (29)</td><td>2.80</td><td>1.46</td><td>0.23 (0.14)</td><td>701 (70)</td><td>3.0</td><td>1.50</td><td>0.24 (0.05)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>34</td><td>348 (52)</td><td>3.00</td><td>0.50</td><td>0.10 (0.06)</td><td>1500 (150)</td><td>3.0</td><td>0.20</td><td>0.04 (0.02)</td><td>01235</td></tr><tr><td>35</td><td>177 (27)</td><td>2.73</td><td>2.85</td><td>0.50 (0.20)</td><td>607 (61)</td><td>3.0</td><td>8.90</td><td>1.43 (0.29)</td><td>01235</td></tr><tr><td>36</td><td>118 (18)</td><td>2.00</td><td>11.10</td><td>1.80 (0.36)</td><td>439 (44)</td><td>3.0</td><td>18.00</td><td>2.89 (0.58)</td><td>01235</td></tr><tr><td>37</td><td>143 (22)</td><td>2.40</td><td>3.46</td><td>0.56 (0.22)</td><td>464 (46)</td><td>3.0</td><td>10.80</td><td>1.73 (0.35)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>38</td><td>192-469<sup>c</sup></td><td>2.8-3.0<sup>c</sup></td><td>1.61-0.15<sup>c</sup></td><td>0.26-0.03<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>123</td></tr><tr><td>39</td><td>177-354<sup>c</sup></td><td>2.7-3.0<sup>c</sup></td><td>1.86-0.2<sup>c</sup></td><td>0.3-0.03<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>123</td></tr><tr><td>40</td><td>153 (23)</td><td>2.50</td><td>2.10</td><td>0.34 (0.20)</td><td>525 (53)</td><td>3.0</td><td>5.10</td><td>0.82 (0.16)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>41</td><td>137.9-667<sup>c</sup></td><td>2.3-3.0<sup>c</sup></td><td>3.32-0.03<sup>c</sup></td><td>0.53-0.005</td><td>...</td><td>...</td><td>...</td><td>...</td><td>123</td></tr><tr><td>42</td><td>100 (20)</td><td>1.58</td><td>9.95</td><td>1.60 (0.32)</td><td>485 (49)</td><td>3.0</td><td>8.40</td><td>1.40 (0.28)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>43</td><td>164 (25)</td><td>2.60</td><td>3.70</td><td>0.59 (0.24)</td><td>473 (47)</td><td>3.0</td><td>10.00</td><td>1.61 (0.32)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>44</td><td>349 (52)</td><td>3.00</td><td>0.52</td><td>0.10 (0.06)</td><td>1500 (150)</td><td>3.0</td><td>0.10</td><td>0.02 (0.01)</td><td>1235</td></tr><tr><td>45</td><td>363 (54)</td><td>3.00</td><td>0.46</td><td>0.10 (0.06)</td><td>947 (95)</td><td>3.0</td><td>0.90</td><td>0.14 (0.03)</td><td>012345</td></tr><tr><td>46</td><td>174 (26)</td><td>2.71</td><td>3.86</td><td>0.60 (0.24)</td><td>636 (64)</td><td>3.0</td><td>4.20</td><td>0.67 (0.13)</td><td>01235</td></tr><tr><td>47</td><td>126 (20)</td><td>2.10</td><td>7.00</td><td>1.10 (0.22)</td><td>436 (44)</td><td>3.0</td><td>12.60</td><td>2.00 (0.40)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>48</td><td>141 (21)</td><td>2.40</td><td>3.40</td><td>0.55 (0.22)</td><td>446 (45)</td><td>3.0</td><td>11.00</td><td>1.80 (0.36)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>49</td><td>164 (25)</td><td>2.63</td><td>3.18</td><td>0.50 (0.20)</td><td>559 (56)</td><td>3.0</td><td>3.80</td><td>0.61 (0.12)</td><td>01235</td></tr><tr><td>50</td><td>191-352<sup>c</sup></td><td>1.6-3.0<sup>c</sup></td><td>1.62-0.24<sup>c</sup></td><td>0.26-0.04<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>13</td></tr><tr><td>52</td><td>142 (21)</td><td>2.39</td><td>5.20</td><td>0.80 (0.32)</td><td>671 (67)</td><td>3.0</td><td>4.20</td><td>0.68 (0.14)</td><td>01235</td></tr><tr><td>53</td><td>359 (54)</td><td>3.00</td><td>0.42</td><td>0.10 (0.06)</td><td>1500 (150)</td><td>3.0</td><td>0.10</td><td>0.02 (0.01)</td><td>012345</td></tr><tr><td>54</td><td>375 (56)</td><td>3.00</td><td>0.58</td><td>0.10 (0.06)</td><td>1500 (150)</td><td>3.0</td><td>0.30</td><td>0.05 (0.03)</td><td>012345</td></tr><tr><td>55</td><td>357 (54)</td><td>3.00</td><td>0.83</td><td>0.10 (0.06)</td><td>1247 (125)</td><td>3.0</td><td>0.50</td><td>0.09 (0.05)</td><td>0123456</td></tr><tr><td>56</td><td>347 (52)</td><td>3.00</td><td>0.72</td><td>0.10 (0.06)</td><td>1500 (150)</td><td>3.0</td><td>0.20</td><td>0.04 (0.02)</td><td>012356</td></tr><tr><td>57</td><td>165 (25)</td><td>1.20</td><td>4.00</td><td>0.63 (0.25)</td><td>470 (47)</td><td>3.0</td><td>11.20</td><td>1.80 (0.36)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>58</td><td>243 (36)</td><td>2.95</td><td>0.90</td><td>0.10 (0.06)</td><td>106 (104)</td><td>3.0</td><td>0.60</td><td>0.10 (0.02)</td><td>01235</td></tr><tr><td>59</td><td>147 (22)</td><td>2.46</td><td>5.57</td><td>0.90 (0.36)</td><td>560 (56)</td><td>3.0</td><td>5.30</td><td>0.86 (0.17)</td><td>01235</td></tr><tr><td>60</td><td>266 (40)</td><td>2.97</td><td>0.53</td><td>0.10 (0.06)</td><td>1469 (147)</td><td>3.0</td><td>0.20</td><td>0.03 (0.01)</td><td>01235</td></tr><tr><td>61</td><td>131-1178<sup>c</sup></td><td>2.2-3.0<sup>c</sup></td><td>3.8-0.02<sup>c</sup></td><td>0.6-0.004<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>12</td></tr><tr><td>62</td><td>150 (23)</td><td>2.50</td><td>3.15</td><td>0.51 (0.20)</td><td>506 (51)</td><td>3.0</td><td>4.70</td><td>0.76 (0.15)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>63</td><td>152 (23)</td><td>2.51</td><td>5.34</td><td>0.90 (0.36)</td><td>470 (47)</td><td>3.0</td><td>11.10</td><td>1.79 (0.36)</td><td>01235</td></tr><tr><td>64</td><td>147 (22)</td><td>2.46</td><td>8.31</td><td>1.30 (0.26)</td><td>436 (44)</td><td>3.0</td><td>23.20</td><td>3.73 (0.75)</td><td>01235</td></tr><tr><td>65</td><td>100 (20)</td><td>1.59</td><td>22.20</td><td>3.60 (0.72)</td><td>383 (38)</td><td>3.0</td><td>56.90</td><td>9.15 (1.83)</td><td>01234</td></tr><tr><td>66</td><td>140 (21)</td><td>2.36</td><td>7.09</td><td>1.10 (0.22)</td><td>408 (41)</td><td>3.0</td><td>48.60</td><td>7.82 (1.56)</td><td>01234</td></tr><tr><td>67</td><td>133 (20)</td><td>2.26</td><td>8.24</td><td>1.30 (0.26)</td><td>379 (38)</td><td>3.0</td><td>42.40</td><td>6.81 (1.36)</td><td>01234</td></tr><tr><td>68</td><td>162 (24)</td><td>2.60</td><td>5.00</td><td>0.73 (0.29)</td><td>497 (50)</td><td>3.0</td><td>7.90</td><td>1.27 (0.25)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>69</td><td>171 (26)</td><td>2.70</td><td>3.00</td><td>0.48 (0.29)</td><td>581 (58)</td><td>3.0</td><td>3.30</td><td>0.53 (0.11)</td><td>0123[5]<sup>d</sup></td></tr></tbody></table>
<table><caption>**Table 3**
(Continued)</caption><thead><tr><th>Region<sup>a</sup></th><th>T<sub>1</sub> (unc.)<sup>b</sup><br>(K)</th><th>OPR<sub>1</sub></th><th>N(H<sub>2</sub>)<sub>1</sub><br>(10<sup>19</sup> cm<sup>-2</sup>)</th><th>Σ(H<sub>2</sub>)<sub>1</sub> (unc.)<sup>b</sup><br>(10<sup>6</sup> M<sub>☉</sub> kpc<sup>-2</sup>)</th><th>T<sub>2</sub> (unc.)<sup>b</sup><br>(K)</th><th>OPR<sub>2</sub></th><th>N(H<sub>2</sub>)<sub>2</sub><br>(10<sup>17</sup> cm<sup>-2</sup>)</th><th>Σ(H<sub>2</sub>)<sub>2</sub> (unc.)<sup>b</sup><br>(10<sup>4</sup> M<sub>☉</sub> kpc<sup>-2</sup>)</th><th>Lines<br>(0–0 S(...))</th></tr></thead><tbody><tr><td>70</td><td>185 (28)</td><td>2.80</td><td>1.80</td><td>0.29 (0.17)</td><td>758 (76)</td><td>3.0</td><td>1.10</td><td>0.18 (0.04)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>71</td><td>129–404<sup>c</sup></td><td>2.2–3.0<sup>c</sup></td><td>4.0–0.04<sup>c</sup></td><td>0.6–0.006<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>13</td></tr><tr><td>72</td><td>180 (18)</td><td>2.75</td><td>1.35</td><td>0.2 (0.03)</td><td>...</td><td>...</td><td>...</td><td>...</td><td>013</td></tr><tr><td>73</td><td>147 (22)</td><td>2.50</td><td>6.00</td><td>1.00 (0.20)</td><td>453 (45)</td><td>3.0</td><td>5.80</td><td>0.93 (0.19)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>74</td><td>148 (22)</td><td>2.50</td><td>6.70</td><td>1.50 (0.30)</td><td>490 (49)</td><td>3.0</td><td>9.60</td><td>1.50 (0.30)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>75</td><td>162 (24)</td><td>2.62</td><td>5.90</td><td>0.90 (0.36)</td><td>441 (44)</td><td>3.0</td><td>13.20</td><td>2.13 (0.43)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>76</td><td>212 (32)</td><td>2.89</td><td>2.76</td><td>0.40 (0.24)</td><td>533 (53)</td><td>3.0</td><td>11.70</td><td>1.88 (0.38)</td><td>012345</td></tr><tr><td>77</td><td>277 (42)</td><td>2.98</td><td>1.39</td><td>0.20 (0.12)</td><td>715 (72)</td><td>3.0</td><td>6.10</td><td>0.98 (0.20)</td><td>0123456</td></tr><tr><td>78</td><td>182 (27)</td><td>2.76</td><td>4.48</td><td>0.70 (0.28)</td><td>639 (64)</td><td>3.0</td><td>6.50</td><td>1.04 (0.21)</td><td>012345</td></tr><tr><td>79</td><td>200 (30)</td><td>2.80</td><td>2.10</td><td>0.34 (0.20)</td><td>1035 (104)</td><td>3.0</td><td>0.60</td><td>0.10 (0.02)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>80</td><td>160 (24)</td><td>2.60</td><td>3.88</td><td>0.60 (0.24)</td><td>474 (47)</td><td>3.0</td><td>6.70</td><td>1.10 (0.22)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>81</td><td>204 (31)</td><td>2.86</td><td>1.60</td><td>0.30 (0.18)</td><td>1500 (150)</td><td>3.0</td><td>0.50</td><td>0.08 (0.04)</td><td>01234</td></tr><tr><td>82</td><td>186 (28)</td><td>2.70</td><td>2.10</td><td>0.34 (0.20)</td><td>594 (59)</td><td>3.0</td><td>3.10</td><td>0.50 (0.10)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>83</td><td>186 (20)</td><td>2.8</td><td>2.6</td><td>0.4</td><td>...</td><td>...</td><td>...</td><td>...</td><td>013</td></tr><tr><td>85</td><td>171 (20)</td><td>2.7</td><td>1.0</td><td>0.16</td><td>...</td><td>...</td><td>...</td><td>...</td><td>013</td></tr><tr><td>86</td><td>119 (20)</td><td>2.00</td><td>7.15</td><td>1.20 (0.24)</td><td>352 (35)</td><td>3.0</td><td>18.40</td><td>3.00 (0.60)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>87</td><td>158 (24)</td><td>2.58</td><td>5.79</td><td>0.90 (0.36)</td><td>537 (54)</td><td>3.0</td><td>4.60</td><td>0.74 (0.15)</td><td>01235</td></tr><tr><td>88</td><td>171 (26)</td><td>2.69</td><td>4.56</td><td>0.70 (0.28)</td><td>633 (63)</td><td>3.0</td><td>3.60</td><td>0.58 (0.12)</td><td>01234</td></tr><tr><td>89</td><td>184 (28)</td><td>2.78</td><td>4.26</td><td>0.70 (0.28)</td><td>551 (55)</td><td>3.0</td><td>11.10</td><td>1.78 (0.36)</td><td>012345</td></tr><tr><td>90</td><td>243 (36)</td><td>2.95</td><td>2.17</td><td>0.30 (0.18)</td><td>670 (67)</td><td>3.0</td><td>8.90</td><td>1.44 (0.29)</td><td>012345</td></tr><tr><td>91</td><td>184 (28)</td><td>2.77</td><td>5.26</td><td>0.80 (0.32)</td><td>673 (67)</td><td>3.0</td><td>9.60</td><td>1.54 (0.31)</td><td>012345</td></tr><tr><td>92</td><td>179 (27)</td><td>2.75</td><td>4.79</td><td>0.80 (0.32)</td><td>637 (64)</td><td>3.0</td><td>5.00</td><td>0.81 (0.16)</td><td>012345</td></tr><tr><td>93</td><td>163 (24)</td><td>2.62</td><td>5.53</td><td>0.90 (0.36)</td><td>526 (53)</td><td>3.0</td><td>6.10</td><td>0.98 (0.20)</td><td>012345</td></tr><tr><td>94</td><td>165 (25)</td><td>2.64</td><td>5.15</td><td>0.80 (0.32)</td><td>626 (63)</td><td>3.0</td><td>4.20</td><td>0.68 (0.14)</td><td>01234</td></tr><tr><td>95</td><td>130 (20)</td><td>2.20</td><td>11.40</td><td>1.84 (0.37)</td><td>403 (40)</td><td>3.0</td><td>22.40</td><td>3.60 (0.72)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>96</td><td>183 (28)</td><td>2.80</td><td>2.90</td><td>0.46 (0.28)</td><td>521 (52)</td><td>3.0</td><td>6.70</td><td>1.10 (0.22)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>99</td><td>188 (20)</td><td>2.8</td><td>1.2</td><td>0.2</td><td>...</td><td>...</td><td>...</td><td>...</td><td>013</td></tr><tr><td>100</td><td>161 (24)</td><td>2.60</td><td>3.80</td><td>0.60 (0.24)</td><td>630 (63)</td><td>3.0</td><td>1.60</td><td>0.25 (0.05)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>101</td><td>169 (25)</td><td>2.70</td><td>4.13</td><td>0.66 (0.26)</td><td>551 (55)</td><td>3.0</td><td>4.30</td><td>0.70 (0.14)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>102</td><td>189 (28)</td><td>2.80</td><td>4.29</td><td>0.70 (0.28)</td><td>634 (63)</td><td>3.0</td><td>5.90</td><td>0.94 (0.19)</td><td>012345</td></tr><tr><td>103</td><td>250 (37)</td><td>2.96</td><td>2.15</td><td>0.30 (0.18)</td><td>684 (68)</td><td>3.0</td><td>7.90</td><td>1.27 (0.25)</td><td>0123456</td></tr><tr><td>104</td><td>216 (32)</td><td>2.90</td><td>3.46</td><td>0.60 (0.24)</td><td>701 (70)</td><td>3.0</td><td>9.80</td><td>1.57 (0.31)</td><td>0123456</td></tr><tr><td>105</td><td>219 (33)</td><td>2.90</td><td>2.73</td><td>0.40 (0.24)</td><td>722 (72)</td><td>3.0</td><td>5.40</td><td>0.87 (0.17)</td><td>0123456</td></tr><tr><td>106</td><td>168 (25)</td><td>2.67</td><td>7.30</td><td>1.20 (0.24)</td><td>591 (59)</td><td>3.0</td><td>5.50</td><td>0.89 (0.18)</td><td>0123456</td></tr><tr><td>107</td><td>168 (25)</td><td>2.67</td><td>6.49</td><td>1.00 (0.20)</td><td>674 (67)</td><td>3.0</td><td>3.50</td><td>0.57 (0.11)</td><td>01234</td></tr><tr><td>108</td><td>162 (24)</td><td>2.62</td><td>8.18</td><td>1.30 (0.26)</td><td>590 (59)</td><td>3.0</td><td>6.40</td><td>1.04 (0.21)</td><td>012345</td></tr><tr><td>109</td><td>185 (28)</td><td>2.78</td><td>5.46</td><td>0.90 (0.36)</td><td>619 (62)</td><td>3.0</td><td>6.30</td><td>1.01 (0.20)</td><td>012345</td></tr><tr><td>110</td><td>129 (13)</td><td>2.2</td><td>6.4</td><td>1.02</td><td>...</td><td>...</td><td>...</td><td>...</td><td>01</td></tr><tr><td>111</td><td>143–454<sup>c</sup></td><td>2.4–3.0<sup>c</sup></td><td>3.0–0.05<sup>c</sup></td><td>0.49–0.09<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>13</td></tr><tr><td>112</td><td>145–430<sup>c</sup></td><td>2.4–3.0<sup>c</sup></td><td>2.9–0.06<sup>c</sup></td><td>0.46–0.01<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>13</td></tr><tr><td>113</td><td>171 (20)</td><td>2.7</td><td>2.3</td><td>0.4</td><td>...</td><td>...</td><td>...</td><td>...</td><td>013</td></tr><tr><td>114</td><td>160 (24)</td><td>2.60</td><td>4.20</td><td>0.68 (0.27)</td><td>638 (64)</td><td>3.0</td><td>2.50</td><td>0.40 (0.08)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>115</td><td>183 (27)</td><td>2.77</td><td>4.12</td><td>0.70 (0.28)</td><td>726 (73)</td><td>3.0</td><td>3.60</td><td>0.57 (0.11)</td><td>012345</td></tr><tr><td>116</td><td>214 (32)</td><td>2.89</td><td>3.52</td><td>0.60 (0.24)</td><td>696 (70)</td><td>3.0</td><td>9.50</td><td>1.52 (0.30)</td><td>0123456</td></tr><tr><td>117</td><td>221 (33)</td><td>2.91</td><td>3.22</td><td>0.50 (0.20)</td><td>687 (69)</td><td>3.0</td><td>10.80</td><td>1.73 (0.35)</td><td>0123456</td></tr><tr><td>118</td><td>194 (29)</td><td>2.82</td><td>4.77</td><td>0.80 (0.32)</td><td>691 (69)</td><td>3.0</td><td>7.60</td><td>1.22 (0.24)</td><td>012345</td></tr><tr><td>119</td><td>183 (27)</td><td>2.77</td><td>5.80</td><td>0.90 (0.36)</td><td>676 (68)</td><td>3.0</td><td>5.60</td><td>0.90 (0.18)</td><td>012345</td></tr><tr><td>120</td><td>175 (26)</td><td>2.72</td><td>7.17</td><td>1.10 (0.22)</td><td>606 (61)</td><td>3.0</td><td>8.90</td><td>1.43 (0.29)</td><td>012345</td></tr><tr><td>121</td><td>190 (29)</td><td>2.81</td><td>5.15</td><td>0.80 (0.32)</td><td>653 (65)</td><td>3.0</td><td>7.10</td><td>1.14 (0.23)</td><td>0123456</td></tr><tr><td>122</td><td>205 (31)</td><td>2.87</td><td>3.89</td><td>0.60 (0.24)</td><td>658 (66)</td><td>3.0</td><td>6.10</td><td>0.99 (0.20)</td><td>012345</td></tr><tr><td>123</td><td>121 (20)</td><td>2.0</td><td>8.25</td><td>1.3</td><td>...</td><td>...</td><td>...</td><td>...</td><td>01</td></tr><tr><td>124</td><td>143 (20)</td><td>2.4</td><td>2.8</td><td>0.45</td><td>...</td><td>...</td><td>...</td><td>...</td><td>01</td></tr><tr><td>125</td><td>150 (20)</td><td>2.4</td><td>0.2</td><td>0.03</td><td>...</td><td>...</td><td>...</td><td>...</td><td>13</td></tr><tr><td>126</td><td>164–366<sup>c</sup></td><td>2.6–3.0<sup>c</sup></td><td>2.18–0.13<sup>c</sup></td><td>0.35–0.02<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>13</td></tr><tr><td>127</td><td>154 (20)</td><td>2.5</td><td>4.28</td><td>0.67</td><td>...</td><td>...</td><td>...</td><td>...</td><td>013</td></tr><tr><td>128</td><td>190 (29)</td><td>2.80</td><td>2.81</td><td>0.50 (0.20)</td><td>862 (86)</td><td>3.0</td><td>1.50</td><td>0.23 (0.05)</td><td>01234</td></tr><tr><td>129</td><td>195 (29)</td><td>2.83</td><td>4.57</td><td>0.70 (0.28)</td><td>690 (69)</td><td>3.0</td><td>5.60</td><td>0.89 (0.18)</td><td>0123456</td></tr><tr><td>130</td><td>225 (34)</td><td>2.92</td><td>2.90</td><td>0.50 (0.20)</td><td>683 (68)</td><td>3.0</td><td>7.80</td><td>1.26 (0.25)</td><td>0123456</td></tr><tr><td>131</td><td>186 (28)</td><td>2.78</td><td>5.32</td><td>0.90 (0.36)</td><td>655 (66)</td><td>3.0</td><td>7.70</td><td>1.24 (0.25)</td><td>0123456</td></tr><tr><td>132</td><td>181 (27)</td><td>2.76</td><td>6.79</td><td>1.10 (0.22)</td><td>643 (64)</td><td>3.0</td><td>7.80</td><td>1.26 (0.25)</td><td>012345</td></tr><tr><td>133</td><td>199 (30)</td><td>2.85</td><td>4.27</td><td>0.70 (0.28)</td><td>704 (70)</td><td>3.0</td><td>6.20</td><td>0.99 (0.20)</td><td>0123456</td></tr><tr><td>134</td><td>221 (33)</td><td>2.91</td><td>3.05</td><td>0.50 (0.20)</td><td>824 (82)</td><td>3.0</td><td>3.90</td><td>0.62 (0.12)</td><td>0123456</td></tr><tr><td>135</td><td>194 (29)</td><td>2.82</td><td>4.73</td><td>0.80 (0.32)</td><td>671 (67)</td><td>3.0</td><td>4.00</td><td>0.65 (0.13)</td><td>012345</td></tr></tbody></table>
<table><caption>**Table 3**
(Continued)</caption><thead><tr><th>Region<sup>a</sup></th><th>T<sub>1</sub> (unc.)<sup>b</sup><br>(K)</th><th>OPR<sub>1</sub></th><th>N(H<sub>2</sub>)<sub>1</sub><br>(10<sup>19</sup> cm<sup>-2</sup>)</th><th>Σ(H<sub>2</sub>)<sub>1</sub> (unc.)<sup>b</sup><br>(10<sup>6</sup> M<sub>☉</sub> kpc<sup>-2</sup>)</th><th>T<sub>2</sub> (unc.)<sup>b</sup><br>(K)</th><th>OPR<sub>2</sub></th><th>N(H<sub>2</sub>)<sub>2</sub><br>(10<sup>17</sup> cm<sup>-2</sup>)</th><th>Σ(H<sub>2</sub>)<sub>2</sub> (unc.)<sup>b</sup><br>(10<sup>4</sup> M<sub>☉</sub> kpc<sup>-2</sup>)</th><th>Lines<br>(0–0 S(...))</th></tr></thead><tbody><tr><td>139</td><td>152 (23)</td><td>2.50</td><td>4.10</td><td>0.65 (0.26)</td><td>567 (57)</td><td>3.0</td><td>3.84</td><td>0.62 (0.12)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>140</td><td>182 (27)</td><td>2.80</td><td>3.30</td><td>0.53 (0.21)</td><td>584 (58)</td><td>3.0</td><td>4.10</td><td>0.65 (0.13)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>141</td><td>189 (28)</td><td>2.80</td><td>4.39</td><td>0.70 (0.28)</td><td>605 (61)</td><td>3.0</td><td>7.50</td><td>1.21 (0.24)</td><td>01235</td></tr><tr><td>142</td><td>213 (32)</td><td>2.89</td><td>3.88</td><td>0.60 (0.24)</td><td>693 (69)</td><td>3.0</td><td>7.70</td><td>1.24 (0.25)</td><td>0123456</td></tr><tr><td>143</td><td>185 (28)</td><td>2.78</td><td>6.61</td><td>1.10 (0.22)</td><td>692 (69)</td><td>3.0</td><td>7.90</td><td>1.28 (0.26)</td><td>0123456</td></tr><tr><td>144</td><td>176 (26)</td><td>2.73</td><td>7.09</td><td>1.10 (0.22)</td><td>616 (62)</td><td>3.0</td><td>5.70</td><td>0.92 (0.18)</td><td>012345</td></tr><tr><td>145</td><td>176 (26)</td><td>2.72</td><td>6.90</td><td>1.10 (0.22)</td><td>990.9 (99)</td><td>3.0</td><td>1.60</td><td>0.26 (0.05)</td><td>01234</td></tr><tr><td>146</td><td>156 (23)</td><td>2.55</td><td>7.94</td><td>1.30 (0.26)</td><td>832 (83)</td><td>3.0</td><td>1.60</td><td>0.26 (0.05)</td><td>012345</td></tr><tr><td>147</td><td>134 (20)</td><td>2.28</td><td>5.5</td><td>0.89</td><td>...</td><td>...</td><td>...</td><td>...</td><td>012</td></tr><tr><td>149</td><td>155–438<sup>c</sup></td><td>2.6–3.0<sup>c</sup></td><td>2.5–0.08<sup>c</sup></td><td>0.4–0.01<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>12</td></tr><tr><td>150</td><td>129 (20)</td><td>2.20</td><td>4.70</td><td>0.75 (0.30)</td><td>579 (58)</td><td>3.0</td><td>5.10</td><td>0.83 (0.17)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>151</td><td>291 (44)</td><td>3.00</td><td>0.50</td><td>0.08 (0.05)</td><td>1143 (114)</td><td>3.0</td><td>0.20</td><td>0.02 (0.01)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>152</td><td>189 (28)</td><td>2.80</td><td>4.20</td><td>0.70 (0.28)</td><td>565 (57)</td><td>3.0</td><td>6.90</td><td>1.10 (0.22)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>153</td><td>246 (37)</td><td>2.95</td><td>2.49</td><td>0.40 (0.24)</td><td>688 (69)</td><td>3.0</td><td>7.60</td><td>1.22 (0.24)</td><td>012345</td></tr><tr><td>154</td><td>193 (29)</td><td>2.82</td><td>6.20</td><td>1.00 (0.20)</td><td>697 (70)</td><td>3.0</td><td>8.20</td><td>1.32 (0.26)</td><td>0123456</td></tr><tr><td>155</td><td>157 (24)</td><td>2.57</td><td>9.25</td><td>1.50 (0.30)</td><td>409 (41)</td><td>3.0</td><td>25.50</td><td>4.09 (0.82)</td><td>01234</td></tr><tr><td>156</td><td>182 (27)</td><td>2.77</td><td>2.70</td><td>0.40 (0.24)</td><td>874 (87)</td><td>3.0</td><td>1.20</td><td>0.19 (0.04)</td><td>01234</td></tr><tr><td>157</td><td>140 (21)</td><td>2.36</td><td>8.21</td><td>1.30 (0.26)</td><td>411 (41)</td><td>3.0</td><td>11.90</td><td>1.92 (0.38)</td><td>01234</td></tr><tr><td>158</td><td>126 (20)</td><td>2.10</td><td>4.60</td><td>0.74 (0.30)</td><td>815 (82)</td><td>3.0</td><td>0.60</td><td>0.10 (0.02)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>161</td><td>162–339<sup>c</sup></td><td>2.6–3.0<sup>c</sup></td><td>2.2–0.15<sup>c</sup></td><td>0.36–0.02<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>12</td></tr><tr><td>162</td><td>155 (23)</td><td>2.50</td><td>4.70</td><td>0.76 (0.30)</td><td>645 (65)</td><td>3.0</td><td>1.60</td><td>0.30 (0.06)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>163</td><td>191 (29)</td><td>2.80</td><td>3.10</td><td>0.51 (0.20)</td><td>714 (71)</td><td>3.0</td><td>1.70</td><td>0.30 (0.06)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>164</td><td>198 (30)</td><td>2.84</td><td>4.78</td><td>0.80 (0.32)</td><td>661 (66)</td><td>3.0</td><td>5.80</td><td>0.93 (0.19)</td><td>012345</td></tr><tr><td>165</td><td>216 (32)</td><td>2.90</td><td>3.78</td><td>0.60 (0.24)</td><td>709 (71)</td><td>3.0</td><td>5.80</td><td>0.94 (0.19)</td><td>012345</td></tr><tr><td>166</td><td>172 (26)</td><td>2.70</td><td>6.92</td><td>1.10 (0.22)</td><td>635 (63)</td><td>3.0</td><td>7.00</td><td>1.12 (0.22)</td><td>012345</td></tr><tr><td>167</td><td>170 (26)</td><td>2.68</td><td>5.19</td><td>0.80 (0.32)</td><td>707 (71)</td><td>3.0</td><td>2.60</td><td>0.42 (0.08)</td><td>012345</td></tr><tr><td>168</td><td>149 (22)</td><td>2.48</td><td>6.69</td><td>1.10 (0.22)</td><td>470 (47)</td><td>3.0</td><td>7.90</td><td>1.27 (0.25)</td><td>01234</td></tr><tr><td>169</td><td>178 (18)</td><td>2.75</td><td>1.43</td><td>0.23</td><td>...</td><td>...</td><td>...</td><td>...</td><td>012</td></tr><tr><td>170</td><td>227 (23)</td><td>2.9</td><td>0.8</td><td>0.14</td><td>...</td><td>...</td><td>...</td><td>...</td><td>012</td></tr><tr><td>171</td><td>142 (21)</td><td>2.40</td><td>4.00</td><td>0.63 (0.25)</td><td>765 (77)</td><td>3.0</td><td>1.10</td><td>0.20 (0.04)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>172</td><td>213 (32)</td><td>2.90</td><td>6.20</td><td>0.10 (0.06)</td><td>1500 (150)</td><td>3.0</td><td>0.20</td><td>0.03 (0.01)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>173</td><td>156 (23)</td><td>2.60</td><td>5.10</td><td>0.82 (0.33)</td><td>811 (81)</td><td>3.0</td><td>0.70</td><td>0.01 (0.00)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>174</td><td>165 (25)</td><td>2.64</td><td>5.99</td><td>1.00 (0.20)</td><td>645 (64)</td><td>3.0</td><td>2.10</td><td>0.34 (0.07)</td><td>01235</td></tr><tr><td>175</td><td>159 (24)</td><td>2.59</td><td>10.30</td><td>1.60 (0.32)</td><td>579 (58)</td><td>3.0</td><td>6.70</td><td>1.07 (0.21)</td><td>012345</td></tr><tr><td>176</td><td>160 (24)</td><td>2.60</td><td>10.80</td><td>1.70 (0.34)</td><td>611 (61)</td><td>3.0</td><td>9.00</td><td>1.45 (0.29)</td><td>012345</td></tr><tr><td>177</td><td>163 (24)</td><td>2.62</td><td>9.51</td><td>1.50 (0.30)</td><td>635 (63)</td><td>3.0</td><td>6.00</td><td>0.97 (0.19)</td><td>012345</td></tr><tr><td>178</td><td>165 (25)</td><td>2.64</td><td>7.69</td><td>1.20 (0.24)</td><td>812 (81)</td><td>3.0</td><td>2.10</td><td>0.33 (0.07)</td><td>012345</td></tr><tr><td>179</td><td>168 (25)</td><td>2.67</td><td>6.37</td><td>1.00 (0.20)</td><td>953 (95)</td><td>3.0</td><td>1.00</td><td>0.16 (0.03)</td><td>01235</td></tr><tr><td>180</td><td>141 (20)</td><td>2.4</td><td>5.87</td><td>0.94</td><td>...</td><td>...</td><td>...</td><td>...</td><td>012</td></tr><tr><td>181</td><td>141 (20)</td><td>2.4</td><td>6.3</td><td>1.0</td><td>...</td><td>...</td><td>...</td><td>...</td><td>012</td></tr><tr><td>182</td><td>147 (22)</td><td>2.45</td><td>6.30</td><td>1.00 (0.20)</td><td>596 (60)</td><td>3.0</td><td>3.70</td><td>0.59 (0.12)</td><td>01235</td></tr><tr><td>183</td><td>153 (23)</td><td>2.52</td><td>7.88</td><td>1.30 (0.26)</td><td>602 (60)</td><td>3.0</td><td>3.80</td><td>0.60 (0.12)</td><td>01235</td></tr><tr><td>184</td><td>155 (23)</td><td>2.50</td><td>8.60</td><td>1.39 (0.28)</td><td>659 (66)</td><td>3.0</td><td>2.50</td><td>0.04 (0.02)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>185</td><td>143 (21)</td><td>2.40</td><td>16.70</td><td>2.70 (0.54)</td><td>664 (66)</td><td>3.0</td><td>2.60</td><td>0.42 (0.08)</td><td>01235</td></tr><tr><td>186</td><td>156 (23)</td><td>2.56</td><td>10.80</td><td>1.70 (0.34)</td><td>650 (65)</td><td>3.0</td><td>3.70</td><td>0.60 (0.12)</td><td>012345</td></tr><tr><td>187</td><td>156 (23)</td><td>2.56</td><td>14.40</td><td>2.30 (0.46)</td><td>651 (65)</td><td>3.0</td><td>6.00</td><td>0.96 (0.19)</td><td>0123456</td></tr><tr><td>188</td><td>151 (23)</td><td>2.50</td><td>14.70</td><td>2.40 (0.48)</td><td>435 (43)</td><td>3.0</td><td>19.60</td><td>3.16 (0.63)</td><td>01234</td></tr><tr><td>189</td><td>152 (23)</td><td>2.52</td><td>14.90</td><td>2.40 (0.48)</td><td>699 (70)</td><td>3.0</td><td>3.80</td><td>0.61 (0.12)</td><td>012345</td></tr><tr><td>190</td><td>155 (23)</td><td>2.54</td><td>10.40</td><td>1.70 (0.34)</td><td>658 (66)</td><td>3.0</td><td>5.00</td><td>0.80 (0.16)</td><td>01235</td></tr><tr><td>191</td><td>134 (20)</td><td>2.30</td><td>3.00</td><td>0.49 (0.29)</td><td>412 (41)</td><td>3.0</td><td>23.60</td><td>3.80 (0.76)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>192</td><td>113 (17)</td><td>1.89</td><td>13.00</td><td>2.10 (0.42)</td><td>493 (49)</td><td>3.0</td><td>9.50</td><td>1.52 (0.30)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>193</td><td>100 (15)</td><td>1.59</td><td>23.10</td><td>3.70 (0.74)</td><td>358 (36)</td><td>3.0</td><td>36.00</td><td>5.79 (1.16)</td><td>01235</td></tr><tr><td>194</td><td>140 (21)</td><td>2.37</td><td>14.00</td><td>2.20 (0.44)</td><td>568 (57)</td><td>3.0</td><td>10.60</td><td>1.71 (0.34)</td><td>01235</td></tr><tr><td>195</td><td>158 (24)</td><td>2.58</td><td>9.80</td><td>1.60 (0.32)</td><td>681 (68)</td><td>3.0</td><td>5.80</td><td>0.93 (0.19)</td><td>01235</td></tr><tr><td>196</td><td>149 (22)</td><td>2.48</td><td>16.10</td><td>2.60 (0.52)</td><td>658 (66)</td><td>3.0</td><td>5.50</td><td>0.89 (0.18)</td><td>01235</td></tr><tr><td>197</td><td>150 (22)</td><td>2.49</td><td>19.80</td><td>3.20 (0.64)</td><td>572 (57)</td><td>3.0</td><td>9.10</td><td>1.46 (0.29)</td><td>0123456</td></tr><tr><td>198</td><td>148 (22)</td><td>2.47</td><td>25.10</td><td>4.00 (0.80)</td><td>554 (55)</td><td>3.0</td><td>14.20</td><td>2.29 (0.46)</td><td>012345</td></tr><tr><td>199</td><td>156 (23)</td><td>2.56</td><td>15.70</td><td>2.50 (0.50)</td><td>560 (56)</td><td>3.0</td><td>13.10</td><td>2.10 (0.42)</td><td>012345</td></tr><tr><td>200</td><td>157 (24)</td><td>2.57</td><td>11.10</td><td>1.80 (0.36)</td><td>556 (56)</td><td>3.0</td><td>10.50</td><td>1.69 (0.34)</td><td>01235</td></tr><tr><td>201</td><td>140 (21)</td><td>2.40</td><td>11.90</td><td>1.90 (0.38)</td><td>440 (44)</td><td>3.0</td><td>21.50</td><td>3.50 (0.70)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>202</td><td>161–487<sup>c</sup></td><td>2.6–3.0<sup>c</sup></td><td>2.0–0.1<sup>c</sup></td><td>0.67–0.02<sup>c</sup></td><td>...</td><td>...</td><td>...</td><td>...</td><td>123</td></tr><tr><td>203</td><td>148 (22)</td><td>2.40</td><td>6.10</td><td>1.00 (0.20)</td><td>678 (68)</td><td>3.0</td><td>2.40</td><td>0.40 (0.08)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>204</td><td>145 (22)</td><td>2.40</td><td>10.40</td><td>1.70 (0.34)</td><td>584 (58)</td><td>3.0</td><td>3.50</td><td>0.60 (0.12)</td><td>0123[5]<sup>d</sup></td></tr></tbody></table>
<table><caption>**Table 3**
(Continued)</caption><thead><tr><th>Region<sup>a</sup></th><th>T<sub>1</sub> (unc.)<sup>b</sup><br>(K)</th><th>OPR<sub>1</sub></th><th>N(H<sub>2</sub>)<sub>1</sub><br>(10<sup>19</sup> cm<sup>-2</sup>)</th><th>Σ(H<sub>2</sub>)<sub>1</sub> (unc.)<sup>b</sup><br>(10<sup>6</sup> M<sub>☉</sub> kpc<sup>-2</sup>)</th><th>T<sub>2</sub> (unc.)<sup>b</sup><br>(K)</th><th>OPR<sub>2</sub></th><th>N(H<sub>2</sub>)<sub>2</sub><br>(10<sup>17</sup> cm<sup>-2</sup>)</th><th>Σ(H<sub>2</sub>)<sub>2</sub> (unc.)<sup>b</sup><br>(10<sup>4</sup> M<sub>☉</sub> kpc<sup>-2</sup>)</th><th>Lines<br>(0–0 S(...))</th></tr></thead><tbody><tr><td>205</td><td>146 (22)</td><td>2.40</td><td>11.80</td><td>1.90 (0.38)</td><td>489 (49)</td><td>3.0</td><td>11.70</td><td>1.90 (0.38)</td><td>0123[5]</td></tr><tr><td>206</td><td>166 (25)</td><td>2.65</td><td>7.35</td><td>1.20 (0.24)</td><td>597 (60)</td><td>3.0</td><td>7.40</td><td>1.18 (0.24)</td><td>01234</td></tr><tr><td>207</td><td>226 (34)</td><td>2.92</td><td>3.85</td><td>0.60 (0.24)</td><td>1069 (107)</td><td>3.0</td><td>1.40</td><td>0.22 (0.04)</td><td>012345</td></tr><tr><td>208</td><td>148 (22)</td><td>2.46</td><td>26.60</td><td>4.30 (0.86)</td><td>605 (61)</td><td>3.0</td><td>10.40</td><td>1.67 (0.33)</td><td>012345</td></tr><tr><td>209</td><td>155 (23)</td><td>2.55</td><td>21.20</td><td>3.40 (0.68)</td><td>634 (63)</td><td>3.0</td><td>9.80</td><td>1.58 (0.32)</td><td>012345</td></tr><tr><td>210</td><td>140 (21)</td><td>2.40</td><td>27.60</td><td>4.40 (0.88)</td><td>429 (43)</td><td>3.0</td><td>36.70</td><td>5.90 (1.18)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>211</td><td>151 (23)</td><td>2.50</td><td>12.90</td><td>2.10 (0.42)</td><td>429 (43)</td><td>3.0</td><td>24.10</td><td>3.90 (0.78)</td><td>0123[5]<sup>d</sup></td></tr><tr><td>212</td><td>143 (22)</td><td>2.40</td><td>9.40</td><td>1.50 (0.30)</td><td>463 (46)</td><td>3.0</td><td>13.10</td><td>2.10 (0.42)</td><td>0123[5]<sup>d</sup></td></tr></tbody></table>

**Notes.**

<sup>a</sup> Regions defined from Figure 1(b).

<sup>b</sup> $1\sigma$ uncertainties shown in brackets.

<sup>c</sup> Not enough points to fit two temperatures. Range based on single-temperature fits to lowest three transitions with and without the $3\sigma$ S(0) upper limit.

<sup>d</sup> Marginal detection of 0–0 S(5) line provides additional information to allow two-temperature fit.

detected points and a hard lower limit to the temperature by treating the S(0) upper limit as a firm detection. This is important because the 0–0 S(0) provides an anchor point for the coldest gas, and effectively gives an upper limit to the H₂ mass, which is dominated by the cold component. In cases where this was done, the values mapped closely to adjacent positions where S(0) was detected, implying that the lower temperature derived in this way has some validity.

## 4.2. Power-law Temperature Model

Considering the diverse range of heating environments in the interstellar medium (ISM) in the galaxy, the traditional method of fitting discrete temperature components to the H₂ excitation diagram is only an approximation and may not be realistic in many cases—especially in the presence of shocks. Theoretical studies have demonstrated that H₂ line cooling by molecules in shocks should follow a power-law temperature distribution (Hollenbach & McKee 1979; Burton 1987). Neufeld & Yuan (2008) successfully used a power-law temperature distribution to fit the mid-infrared H₂ rotational-line fluxes of shocked regions in the supernova IC 443.

We follow the approach of Togi & Smith (2016) by assuming a continuous power-law temperature distribution for the H₂, and use this to fit the excitation diagrams and calculate the total H₂ gas mass in the ISM by extrapolating to lower temperatures. We assume that the column density of H₂ molecules is distributed according to a power-law function with respect to temperature, $dN \propto T^{-n} dT$, where $dN$ is the number of molecules in the temperature range T to T + $dT$. The model consists of three parameters: the upper and lower temperature bounds, and the power-law index, denoted by $T_u$, $T_l$, and n, respectively. $T_l$ can be thought of as the lowest (asymptotic) temperature found in the range of possible temperatures needed to explain the excitation of the gas. If $T_l$ is well constrained (see later), and the single power-law approximation is valid, molecular gas masses can be explored down to temperatures as low as ~50 K, significantly lower than those temperatures that excite the rotational transitions (>80–100 K; Togi & Smith 2016). Keeping the upper temperature, $T_u$, fixed at 2000 K and varying $T_l$ and n, we fit the H₂ excitation diagram for each square region in the grid of our mapped area of the Quintet. Figure 5 provides an example of a model fit (red solid line) to the observed H₂ line ratios (black points) in the excitation

<figure><img src="image_5.png" /><figcaption>**Figure 4.** A fit of the excitation diagram of warm molecular hydrogen with two temperatures for position 105 in the center of the the Quintet filament. The gray solid and dotted lines represent the thermal components $T_1 = 219$ K and $T_2 = 722$ K, which contribute to the final fit shown by the black solid line. The values for each of the seven H₂ lines are shown with $1\sigma$ uncertainties.</figcaption></figure>

diagram of the square region 105, with $n = 4.4$ in the temperature range 100–2000 K. This is the same region shown in the two-temperature fit of Figure 4, and it is clear that the power-law fit more smoothly captures the change in shape of the excitation diagram than the two-temperature approach in this case. As discussed in Appendix B, there are some regions where the power-law model fits less well, leading to a poorly determined value of $T_l$.

## 4.3. MHD Shock Modeling

In a third approach to derive the H₂ physical parameters, and to place the heating of the gas on a more physical footing, we fit the observed H₂ line fluxes with the MHD shock models, using the approach presented in Guillard et al. (2009). We assume that the H₂ emission is powered by the dissipation of mechanical energy in molecular gas at relatively low density ($n_H = 10^2–10^4$ cm⁻³), as derived by Guillard et al. (2009) and Appleton et al. (2013). We use the grid of MHD shock models presented in Lesaffre et al. (2013). The code computes the
<figure><img src="image_6.png" /><figcaption>**Figure 5.** Power-law model fit (red solid line) to the observed H₂ line ratios (black points) in an excitation diagram for the square region numbered 105 in our mapped area (the same region as in Figure 4).</figcaption></figure>

populations of 150 rotation-vibration H₂ levels in parallel to the MHD equations. The molecular gas is heated to a range of post-shock temperatures that depend on the shock velocity, the pre-shock density, and the intensity of the magnetic field (which is assumed to be perpendicular to the direction of shock propagation). Our grid of shock models include a range of different shock speeds, from 3 to 35 km s⁻¹, and we tested three pre-shock densities, $n_H = 10^2$, $10^3$, and $10^4$ cm⁻³. The initial ortho-to-para ratio is set to 3, and the intensity of the pre-shock magnetic field in µG is set to the square root of the pre-shock density in cm⁻³ (i.e., 30 µG at $n_H = 10^3$ cm⁻³). The magnetic field corresponding to the minimum-energy equipartition is 10 µG, derived from observations of the radio continuum averaged over large kiloparsec scales in the filament by Xu et al. (2003). Therefore, the values used in the models are reasonable, given the much smaller scales that would be involved in the shocks (see Guillard et al. 2009). The H₂ line fluxes are computed when the post-shock gas has cooled down to temperatures of 50 K and 120 K, chosen to compare our shock modeling results to single/two-temperature or power-law fits. At a given pre-shock density, the shock velocity is the only parameter we allow to vary. Figure 6 shows an example of an H₂ excitation diagram fitted with two shock models.

We fit the H₂ excitation diagrams with a combination of two shock velocities and two pre-shock densities. This provides a better fit to the data than fixing the same pre-shock density for both shocks, while keeping the number of free parameters to four.

In reality, we expect a distribution of shock velocities, but Lesaffre et al. (2013) have shown that in the case of a preliminary analysis of the H₂ excitation in Stephan's Quintet (based on a single position in the filament), the favored probability distribution function of the shock velocities is a sum of two narrow Gaussian functions centered at two shock velocities. Following this approach, we simultaneously fit up to seven H₂ rotational lines for each position in the filament, and determine the best combination of shock velocities that minimizes the reduced chi-squared for each set of excitations. The H₂ masses at each point are derived by multiplying the gas cooling time (down to 100 K) by the gas mass flow (the mass of gas swept by the shock per unit time) required to match the H₂ line fluxes (Guillard et al. 2009). The total warm H₂ masses are obtained by summing these over the whole structure (see

<figure><img src="image_7.png" /><figcaption>**Figure 6.** H₂ excitation diagram fitted with a combination of two models at 5 and 22 km s⁻¹. The pre-shock densities are 1 × 10⁴ and 1 × 10³ H cm⁻³ respectively.</figcaption></figure>

Section 6 for comparison of the warm gas masses obtained by the various methods).

# 5. Model Results

## 5.1. One- or Two-temperature Analysis

Figure 7 shows the distributions of temperatures $T_1$ and $T_2$ across the Quintet. The map of $T_1$, the lower temperature, in Figures 7(a) and (b) shows cooler gas in the northern part of the filament with a quite broad distribution, whereas the temperature peaks ($T_1 > 200$ K) near the center and to the south of the main filament. The situation is similar for the map of component $T_2$ (Figures 7(c) and (d)) where there are several peaks in the hottest component. The hottest region in both the $T_1$ and $T_2$ maps is in the south of the filament. We will see that this is a general result of our modeling. The coolest $T_1$ and $T_2$ components lie near the extragalactic star formation site called SQ-A by Xu et al. (2005, see label in Figure 1(b)).<fnref n="14" /> The fact that the gas is hotter away from this star formation region supports the suggestion of Paper 1, based on an analysis of H₂/PAH ratios, that UV radiation from star formation is not the dominant heating mechanism in the filament. Another feature of the temperature maps shown in Figure 7 is that the warm H₂ component extends significantly in the direction of NGC 7319, and indeed H₂ emission is seen to the very edge of the eastern boundary of the region we are modeling. Unfortunately the spectroscopic diagnostic used in our current analysis (both the IRS LL and SL modules) does not extend far enough to follow this distribution further to the east. However, we know from the maps using the LL module (see for example Figure 1(a)) that the gas does extend all the way to NGC 7319. We will discuss the nature of this eastward extension in Section 7.2.

## 5.2. Analysis of Power-law Index

Figure 8(a) shows a 2D color plot for power-law indices in the shock region of the Quintet with contours of equal power-law index superimposed. Detailed results are also presented in Table 4. Figure 8(b) shows the same contours superimposed on the optical image of the galaxy. The contour levels map the main shock region of the filament very well, creating the impression of a curved structure that follows faint Hα features seen on the HST image. A large number of H₂ molecules are at

<footnote n="14">¹⁴ We note that not all of SQ-A is covered by our observations.</footnote>
<figure><img src="image_8.png" /><figcaption>**Figure 7.** Map of the temperature distribution of the warm H₂ gas derived from a two-temperature fit to the H₂ excitation diagrams at each sampled position. (a) Image of the lowest temperature ($T_1$) map, with contours in K; (b) the same map superimposed on the F665N HST image of the Quintet; (c) image of the higher temperature component ($T_2$) with contours; (d) the $T_2$ contours superimposed on the F665N HST image. The contour representation includes some spatial averaging to show general trends.</figcaption></figure>

high temperatures, leading to a flatter or lower power-law index in the warmest parts of the shocks because more power escapes from the high-$J$ transitions. This is noticeable in the figure where the power-law index shows a gradient from its highest values of 4.8–5 in the north of the filament, transitioning through the center of the filament (with a peak at 4.45), and reaching the lowest values (4.2–4.3) in the south. Because of the need to include many lines in this fitting, the modeling does not extend as far to the east as the two-temperature fitting, and so the extension in the direction of NGC 7319 is less obvious, although the spreading of the contours in the mid-shock region shows a bulge in the direction of the “bridge” marked in Figure 3.

The values of the power-law index in Figure 8 are almost all lower than the mean found for normal galaxies of 4.84 ± 0.61 (Togi & Smith 2016), and they fall in the asymmetric tail in the distribution found in their study of SINGS galaxies. The tail is populated by SINGS galaxies containing nuclei of Seyferts or LINERs. Indeed the only region that approximates to a normal power-law fit is the region near SQ-A, where the value for *n* lies between 4.8 and 5.1. In the case of the center of the shock ridge, the values are consistently higher than any seen in the

study of the SINGS sample. The shocks appear to be raising the temperature of the gas to much higher levels than are seen in more normal galactic environments. In Section 7.1 we argue that this is a result of higher turbulent energy dissipation there, as measured by an increase in velocity dispersion in the diffuse gas.

Another parameter in the power-law method is the asymptotic value of $T_\ell$, the lowest extrapolated temperature obtained from the fitting process. In Appendix B we discuss how we calculate this, and how spatial variations in the H₂ excitation can affect how this lower limit is determined. $T_\ell$ can affect how much mass in colder gas we estimate from the power-law method.

### 5.3. Analysis of Shock Models

A combination of two shock velocities is required to match the observed H₂ line fluxes, usually a very low-velocity C-type shock (3–6 km s⁻¹, and a stronger shock (20–35 km s⁻¹), which is consistent with the models of Guillard et al. (2009) and Lesaffre et al. (2013) using limited preliminary data from this same survey. In order to fit best the excitation data for the 0–0 S(0) and 0–0 S(1) transitions, we found better results when
<figure><img src="image_9.png" /><figcaption>**Figure 8.** A 2D color plot for the power-law index in our mapped regions of the Quintet. Smooth contours are overlaid on the color plot and the Hα *HST* image from WFC3. The position of the contours clearly marks the shock regions of the Quintet. The center of the shock structure has the lower power-law slope, implying the presence of more excited warm molecular gas. The lowest fitted power-law values are in the center of the ridge line of the shock and to the south. The northern part of the filament has a higher power-law index, implying lower excitation and generally lower temperatures over the range of temperatures sampled. This is similar to that seen in the two-temperature decomposition of Figure 7.</figcaption></figure>

allowing for two different pre-shock densities. The lower velocity shocks are associated with the higher density component. We find that the pre-shock densities that provide the best fit to most of the H₂ line data are $n_H = 10^3$ cm⁻³ and a second component with $n_H = 10^4$ cm⁻³. On the outside of the ridge and in the bridge regions, pre-shock densities of $n_H = 10^2$ cm⁻³ and $n_H = 10^4$ cm⁻³ are favored in our models. Although not unique, our fits provide an estimate of the range of shock velocities and pre-shock densities needed to reproduce the H₂ excitation. This phase space is well constrained when six or more H₂ lines are detected (Guillard et al. 2009, 2012), which is the case for ~25% of the spectra.

Since we focus here on the properties of the H₂ excitation itself, this modeling does not attempt to simultaneously fit the H₂ and far-infrared ([O I] and [C II]) line data. Joint fitting of [C II] and H₂ lines in some small extraction regions showed that the [C II]-emitting gas is consistent with excitation by warm H₂ with densities of $n_H \approx 10^{2-3}$ cm⁻³ (Appleton et al. 2013). On the other hand, the discovery of pH₂O emission in the same paper requires that some components of the shocked gas must have even higher densities, $n_H > 10^5$ cm⁻³. All of this suggests that a broader range of density structure is present in the gas and is not captured by the present models, which fit only the H₂ excitation.

We performed the fitting analysis for all the spectral extractions in Figure 1, and show maps of the two shock velocities in Figure 9. Those maps clearly show the presence of stronger shocks in the center and the southern part of the galaxy-wide shocked filament. The shocks are also stronger in

the orthogonal direction of the filament, toward the bridge structure.

Note that the stronger shocks become J-shocks when their speed exceeds the critical velocity corresponding to the sonic point in the flow (Le Bourlot et al. 2002). For a pre-shock density $n_H = 10^2$ cm⁻³ and a magnetic field induction $B = 10$ µG transverse to the flow, the critical velocity is $V_{crit} \approx 21$ km s⁻¹. We note that we ran a grid of nonmagnetic shock models (only J-shocks) and found very poor fits to the lower excitation lines (especially 0–0 S(0)), which stresses the importance of the magnetic field in softening the heating of the shocked gas and enhancing the population of the lower excitation rotational levels with respect to higher ones. The shock model parameters, gas cooling times, mass flows, and warm H₂ masses are provided in Table 5.

## 6. The Mass of Warm Molecular Gas and the Warm Mass Fraction

The three methods of fitting the excitation diagrams of the warm H₂ allow us to estimate the total warm molecular mass in the areas that we have sampled. For the two-temperature method, the fits for each region can be summed to directly provide a total warm molecular mass for the whole mapped area. For the power-law models, an important factor in determining the total warm molecular mass is the value of the asymptotic temperature $T_\ell$ (see Section 4.2) determined in the fitting process. This results in two kinds of behavior, gas in the center of the shock in which the bulk of the gas is
<table><caption>**Table 4**
Power-law Model Results for the Quintet</caption><thead><tr><th>Region</th><th>n(δn)</th><th>T<sub>ℓ</sub><br>(K)</th><th>M(T > 120 K)<br>(10<sup>6</sup> M<sub>☉</sub>)</th><th>M(T > 120 K)<br>M<sub>total</sub><br>(%)</th><th>Class<br>Type</th><th>Region</th><th>n(δn)</th><th>T<sub>ℓ</sub><br>(K)</th><th>M(T > 120 K)<br>(10<sup>6</sup> M<sub>☉</sub>)</th><th>M(T > 120 K)<br>M<sub>total</sub><br>(%)</th><th>Class<br>Type</th></tr></thead><tbody><tr><td>4</td><td>3.44 (0.07)</td><td>50</td><td>1.27</td><td>11.8</td><td>I</td><td>109</td><td>4.78 (0.04)</td><td>100</td><td>6.58</td><td>50.2</td><td>II</td></tr><tr><td>5</td><td>3.84 (3.84)</td><td>80</td><td>1.49</td><td>31.7</td><td>III</td><td>113</td><td>4.19 (0.51)</td><td>50</td><td>1.20</td><td>6.1</td><td>I</td></tr><tr><td>7</td><td>3.78 (3.78)</td><td>80</td><td>1.26</td><td>32.4</td><td>III</td><td>114</td><td>4.52 (0.13)</td><td>50</td><td>2.12</td><td>4.6</td><td>I</td></tr><tr><td>8</td><td>4.19 (4.19)</td><td>80</td><td>1.67</td><td>27.4</td><td>III</td><td>115</td><td>4.57 (0.08)</td><td>100</td><td>4.47</td><td>52.2</td><td>II</td></tr><tr><td>9</td><td>3.65 (3.65)</td><td>80</td><td>1.01</td><td>34.1</td><td>III</td><td>116</td><td>4.25 (0.03)</td><td>100</td><td>6.68</td><td>55.3</td><td>II</td></tr><tr><td>10</td><td>4.37 (0.12)</td><td>50</td><td>1.33</td><td>5.22</td><td>I</td><td>117</td><td>4.20 (0.02)</td><td>110</td><td>6.84</td><td>75.7</td><td>II</td></tr><tr><td>12</td><td>4.24 (4.24)</td><td>80</td><td>1.35</td><td>26.9</td><td>III</td><td>118</td><td>4.40 (0.03)</td><td>100</td><td>6.28</td><td>53.8</td><td>II</td></tr><tr><td>13</td><td>4.62 (0.12)</td><td>110</td><td>4.23</td><td>73</td><td>II</td><td>119</td><td>4.59 (0.04)</td><td>90</td><td>6.00</td><td>35.6</td><td>II</td></tr><tr><td>14</td><td>3.92 (0.03)</td><td>80</td><td>3.02</td><td>26.9</td><td>II</td><td>120</td><td>4.59 (0.03)</td><td>90</td><td>6.42</td><td>35.6</td><td>II</td></tr><tr><td>15</td><td>3.79 (0.05)</td><td>50</td><td>2.01</td><td>8.66</td><td>I</td><td>121</td><td>4.59 (0.03)</td><td>85</td><td>6.59</td><td>29.0</td><td>II</td></tr><tr><td>16</td><td>4.58 (0.12)</td><td>125</td><td>2.76</td><td>100</td><td>II</td><td>122</td><td>4.66 (0.03)</td><td>105</td><td>6.95</td><td>61.4</td><td>II</td></tr><tr><td>17</td><td>4.16 (0.05)</td><td>50</td><td>2.67</td><td>6.29</td><td>I</td><td>127</td><td>4.78 (0.19)</td><td>50</td><td>1.61</td><td>3.66</td><td>I</td></tr><tr><td>18</td><td>4.30 (4.30)</td><td>80</td><td>1.90</td><td>26.3</td><td>I</td><td>128</td><td>4.61 (0.10)</td><td>100</td><td>3.27</td><td>51.8</td><td>II</td></tr><tr><td>20</td><td>3.21 (0.07)</td><td>50</td><td>0.60</td><td>14.4</td><td>I</td><td>129</td><td>4.66 (0.04)</td><td>107</td><td>6.82</td><td>65.7</td><td>II</td></tr><tr><td>22</td><td>4.44 (4.44)</td><td>80</td><td>1.81</td><td>24.8</td><td>III</td><td>130</td><td>4.42 (0.03)</td><td>105</td><td>6.90</td><td>63.4</td><td>II</td></tr><tr><td>23</td><td>4.06 (0.10)</td><td>120</td><td>2.66</td><td>100</td><td>II</td><td>131</td><td>4.49 (0.05)</td><td>100</td><td>6.36</td><td>52.9</td><td>II</td></tr><tr><td>24</td><td>4.34 (0.05)</td><td>135</td><td>3.83</td><td>100</td><td>II</td><td>132</td><td>4.55 (0.07)</td><td>90</td><td>6.73</td><td>36.0</td><td>II</td></tr><tr><td>25</td><td>4.34 (0.05)</td><td>120</td><td>3.59</td><td>100</td><td>II</td><td>133</td><td>4.45 (0.03)</td><td>90</td><td>6.13</td><td>37.0</td><td>II</td></tr><tr><td>26</td><td>4.31 (0.06)</td><td>50</td><td>2.45</td><td>5.54</td><td>I</td><td>134</td><td>4.45 (0.03)</td><td>50</td><td>6.03</td><td>5.04</td><td>I</td></tr><tr><td>27</td><td>4.13 (4.13)</td><td>80</td><td>1.70</td><td>28.2</td><td>III</td><td>135</td><td>4.86 (0.06)</td><td>105</td><td>7.32</td><td>59.7</td><td>II</td></tr><tr><td>28</td><td>4.74 (4.74)</td><td>80</td><td>2.09</td><td>21.9</td><td>III</td><td>139</td><td>4.63 (0.17)</td><td>50</td><td>1.83</td><td>4.15</td><td>I</td></tr><tr><td>33</td><td>4.64 (0.16)</td><td>50</td><td>1.87</td><td>4.13</td><td>I</td><td>140</td><td>4.72 (0.10)</td><td>95</td><td>3.68</td><td>41.9</td><td>II</td></tr><tr><td>34</td><td>4.51 (4.51)</td><td>80</td><td>3.64</td><td>24.1</td><td>III</td><td>141</td><td>4.58 (0.04)</td><td>105</td><td>5.64</td><td>62.0</td><td>II</td></tr><tr><td>35</td><td>4.26 (0.04)</td><td>85</td><td>3.03</td><td>32.5</td><td>II</td><td>142</td><td>4.55 (0.02)</td><td>100</td><td>7.87</td><td>52.4</td><td>II</td></tr><tr><td>36</td><td>4.29 (0.11)</td><td>50</td><td>2.16</td><td>5.61</td><td>I</td><td>143</td><td>4.50 (0.02)</td><td>81</td><td>7.09</td><td>25.8</td><td>II</td></tr><tr><td>37</td><td>4.23 (4.23)</td><td>80</td><td>1.65</td><td>27.0</td><td>III</td><td>144</td><td>4.81 (0.05)</td><td>100</td><td>6.70</td><td>49.9</td><td>II</td></tr><tr><td>38</td><td>3.96 (3.96)</td><td>80</td><td>1.32</td><td>30.1</td><td>III</td><td>145</td><td>4.80 (0.06)</td><td>90</td><td>6.31</td><td>33.5</td><td>II</td></tr><tr><td>39</td><td>4.67 (4.67)</td><td>80</td><td>1.62</td><td>22.6</td><td>III</td><td>146</td><td>4.61 (0.07)</td><td>50</td><td>3.65</td><td>4.25</td><td>I</td></tr><tr><td>40</td><td>4.21 (0.22)</td><td>50</td><td>1.15</td><td>6.02</td><td>I</td><td>147</td><td>4.61 (0.31)</td><td>50</td><td>0.75</td><td>4.24</td><td>I</td></tr><tr><td>41</td><td>3.11 (3.11)</td><td>80</td><td>0.23</td><td>42.4</td><td>III</td><td>150</td><td>4.05 (0.26)</td><td>50</td><td>0.93</td><td>6.92</td><td>I</td></tr><tr><td>42</td><td>3.72 (0.16)</td><td>50</td><td>0.71</td><td>9.22</td><td>I</td><td>151</td><td>4.72 (0.24)</td><td>80</td><td>2.49</td><td>22.2</td><td>II</td></tr><tr><td>43</td><td>4.57 (0.14)</td><td>100</td><td>2.97</td><td>52.1</td><td>II</td><td>152</td><td>4.68 (0.07)</td><td>105</td><td>5.66</td><td>61.2</td><td>II</td></tr><tr><td>44</td><td>4.39 (0.07)</td><td>135</td><td>3.54</td><td>100</td><td>II</td><td>153</td><td>4.47 (0.03)</td><td>100</td><td>8.01</td><td>53.1</td><td>II</td></tr><tr><td>45</td><td>4.15 (0.04)</td><td>135</td><td>3.10</td><td>100</td><td>II</td><td>154</td><td>4.49 (0.04)</td><td>85</td><td>7.90</td><td>30.1</td><td>II</td></tr><tr><td>46</td><td>4.50 (0.07)</td><td>50</td><td>3.10</td><td>4.67</td><td>I</td><td>155</td><td>4.73 (0.09)</td><td>85</td><td>6.42</td><td>27.6</td><td>II</td></tr><tr><td>47</td><td>4.24 (0.28)</td><td>50</td><td>1.63</td><td>5.88</td><td>I</td><td>156</td><td>4.82 (0.09)</td><td>70</td><td>4.03</td><td>12.7</td><td>II</td></tr><tr><td>48</td><td>4.06 (0.09)</td><td>50</td><td>1.44</td><td>6.84</td><td>I</td><td>157</td><td>4.92 (0.16)</td><td>50</td><td>3.05</td><td>3.24</td><td>I</td></tr><tr><td>49</td><td>4.94 (0.09)</td><td>95</td><td>2.46</td><td>39.3</td><td>II</td><td>158</td><td>4.85 (0.34)</td><td>50</td><td>0.55</td><td>3.44</td><td>I</td></tr><tr><td>52</td><td>4.03 (0.16)</td><td>50</td><td>1.26</td><td>7.06</td><td>I</td><td>162</td><td>4.86 (0.15)</td><td>50</td><td>2.14</td><td>3.4</td><td>I</td></tr><tr><td>53</td><td>4.55 (0.04)</td><td>135</td><td>3.01</td><td>100</td><td>II</td><td>163</td><td>4.92 (0.11)</td><td>100</td><td>4.28</td><td>48.9</td><td>II</td></tr><tr><td>54</td><td>3.90 (0.05)</td><td>50</td><td>3.19</td><td>7.91</td><td>I</td><td>164</td><td>4.73 (0.04)</td><td>100</td><td>7.39</td><td>50.6</td><td>II</td></tr><tr><td>55</td><td>4.43 (0.03)</td><td>120</td><td>5.88</td><td>100</td><td>II</td><td>165</td><td>4.57 (0.03)</td><td>100</td><td>7.71</td><td>52.1</td><td>II</td></tr><tr><td>56</td><td>4.51 (0.02)</td><td>100</td><td>4.77</td><td>52.7</td><td>II</td><td>166</td><td>4.59 (0.04)</td><td>71</td><td>5.42</td><td>14.9</td><td>II</td></tr><tr><td>57</td><td>4.55 (0.11)</td><td>100</td><td>3.27</td><td>52.3</td><td>II</td><td>167</td><td>4.69 (0.04)</td><td>50</td><td>3.63</td><td>3.95</td><td>I</td></tr><tr><td>58</td><td>4.35 (0.08)</td><td>50</td><td>2.25</td><td>5.32</td><td>I</td><td>168</td><td>4.81 (0.16)</td><td>65</td><td>3.02</td><td>9.48</td><td>II</td></tr><tr><td>59</td><td>4.78 (0.08)</td><td>50</td><td>2.36</td><td>3.66</td><td>I</td><td>169</td><td>4.99 (0.89)</td><td>50</td><td>1.26</td><td>3.04</td><td>I</td></tr><tr><td>60</td><td>4.17 (0.08)</td><td>50</td><td>1.57</td><td>6.24</td><td>I</td><td>170</td><td>4.79 (0.32)</td><td>50</td><td>1.01</td><td>3.61</td><td>I</td></tr><tr><td>62</td><td>4.56 (0.25)</td><td>50</td><td>1.51</td><td>4.43</td><td>I</td><td>171</td><td>4.68 (0.22)</td><td>50</td><td>1.02</td><td>3.99</td><td>I</td></tr><tr><td>63</td><td>4.98 (0.08)</td><td>95</td><td>3.47</td><td>39.5</td><td>II</td><td>172</td><td>4.78 (0.45)</td><td>50</td><td>1.22</td><td>3.66</td><td>I</td></tr><tr><td>64</td><td>4.55 (0.07)</td><td>75</td><td>4.51</td><td>18.9</td><td>II</td><td>173</td><td>5.21 (0.29)</td><td>77</td><td>2.59</td><td>15.1</td><td>II</td></tr><tr><td>65</td><td>4.22 (0.07)</td><td>75</td><td>4.39</td><td>22.1</td><td>II</td><td>174</td><td>5.03 (0.10)</td><td>85</td><td>4.07</td><td>24.9</td><td>II</td></tr><tr><td>66</td><td>4.18 (0.05)</td><td>100</td><td>4.94</td><td>56</td><td>II</td><td>175</td><td>4.89 (0.05)</td><td>65</td><td>5.86</td><td>9.21</td><td>II</td></tr><tr><td>67</td><td>4.41 (0.08)</td><td>90</td><td>4.30</td><td>37.5</td><td>II</td><td>176</td><td>4.57 (0.04)</td><td>50</td><td>5.84</td><td>4.39</td><td>I</td></tr><tr><td>68</td><td>4.60 (0.12)</td><td>80</td><td>3.11</td><td>23.3</td><td>II</td><td>177</td><td>4.68 (0.05)</td><td>60</td><td>5.60</td><td>7.82</td><td>II</td></tr><tr><td>69</td><td>4.73 (0.15)</td><td>85</td><td>2.44</td><td>27.6</td><td>II</td><td>178</td><td>4.60 (0.05)</td><td>50</td><td>4.25</td><td>4.30</td><td>I</td></tr><tr><td>70</td><td>4.85 (0.16)</td><td>85</td><td>2.23</td><td>26.5</td><td>II</td><td>179</td><td>4.57 (0.06)</td><td>50</td><td>3.75</td><td>4.38</td><td>I</td></tr><tr><td>72</td><td>4.93 (0.39)</td><td>80</td><td>1.28</td><td>20.3</td><td>II</td><td>180</td><td>4.81 (0.25)</td><td>50</td><td>1.20</td><td>3.57</td><td>I</td></tr><tr><td>73</td><td>5.15 (0.22)</td><td>80</td><td>2.82</td><td>14.6</td><td>II</td><td>181</td><td>4.67 (0.21)</td><td>50</td><td>1.27</td><td>4.02</td><td>I</td></tr><tr><td>74</td><td>4.56 (0.15)</td><td>50</td><td>2.89</td><td>4.42</td><td>I</td><td>182</td><td>4.71 (0.11)</td><td>50</td><td>2.19</td><td>3.90</td><td>I</td></tr><tr><td>75</td><td>4.77 (0.11)</td><td>100</td><td>4.50</td><td>50.3</td><td>II</td><td>183</td><td>4.91 (0.08)</td><td>54</td><td>3.52</td><td>4.52</td><td>II</td></tr><tr><td>76</td><td>4.72 (0.07)</td><td>120</td><td>6.72</td><td>100</td><td>II</td><td>184</td><td>5.05 (0.16)</td><td>65</td><td>4.13</td><td>8.32</td><td>II</td></tr><tr><td>77</td><td>4.37 (0.02)</td><td>100</td><td>5.94</td><td>54.1</td><td>II</td><td>185</td><td>5.15 (0.07)</td><td>50</td><td>4.85</td><td>2.65</td><td>I</td></tr><tr><td>78</td><td>4.50 (0.04)</td><td>80</td><td>4.62</td><td>24.2</td><td>II</td><td>186</td><td>4.93 (0.05)</td><td>60</td><td>5.24</td><td>6.56</td><td>II</td></tr></tbody></table>
<table><caption>**Table 4**
(Continued)</caption><thead><tr><th>Region</th><th>n(δn)</th><th>T<sub>l</sub><br>(K)</th><th>M(T > 120 K)<br>(10<sup>6</sup> M<sub>☉</sub>)</th><th>M(T > 120 K)<br>(M<sub>total</sub> %)</th><th>Class<br>Type</th><th>Region</th><th>n(δn)</th><th>T<sub>l</sub><br>(K)</th><th>M(T > 120 K)<br>(10<sup>6</sup> M<sub>☉</sub>)</th><th>M(T > 120 K)<br>(M<sub>total</sub> %)</th><th>Class<br>Type</th></tr></thead><tbody><tr><td>79</td><td>4.81 (0.13)</td><td>90</td><td>3.39</td><td>33.5</td><td>II</td><td>187</td><td>4.82 (0.05)</td><td>50</td><td>6.81</td><td>3.52</td><td>I</td></tr><tr><td>80</td><td>4.67 (0.12)</td><td>85</td><td>2.61</td><td>28.2</td><td>II</td><td>188</td><td>4.91 (0.06)</td><td>75</td><td>7.45</td><td>15.9</td><td>II</td></tr><tr><td>81</td><td>4.53 (0.13)</td><td>87</td><td>2.36</td><td>32.4</td><td>II</td><td>189</td><td>4.84 (0.04)</td><td>50</td><td>5.94</td><td>3.48</td><td>I</td></tr><tr><td>82</td><td>4.63 (0.04)</td><td>100</td><td>2.56</td><td>51.6</td><td>II</td><td>190</td><td>4.71 (0.06)</td><td>50</td><td>4.62</td><td>3.89</td><td>I</td></tr><tr><td>83</td><td>4.61 (0.31)</td><td>100</td><td>2.60</td><td>51.8</td><td>II</td><td>191</td><td>3.91 (0.24)</td><td>50</td><td>0.67</td><td>7.86</td><td>I</td></tr><tr><td>86</td><td>4.81 (0.20)</td><td>68</td><td>1.95</td><td>11.8</td><td>II</td><td>192</td><td>4.37 (0.13)</td><td>50</td><td>1.46</td><td>5.25</td><td>I</td></tr><tr><td>87</td><td>4.92 (0.11)</td><td>80</td><td>3.37</td><td>20.4</td><td>II</td><td>193</td><td>4.47 (0.10)</td><td>50</td><td>2.83</td><td>4.79</td><td>I</td></tr><tr><td>88</td><td>4.65 (0.10)</td><td>80</td><td>3.81</td><td>22.8</td><td>II</td><td>194</td><td>4.52 (0.05)</td><td>50</td><td>3.91</td><td>4.59</td><td>I</td></tr><tr><td>89</td><td>4.65 (0.04)</td><td>110</td><td>5.94</td><td>72.8</td><td>II</td><td>195</td><td>4.50 (0.04)</td><td>50</td><td>4.61</td><td>4.65</td><td>I</td></tr><tr><td>90</td><td>4.32 (0.03)</td><td>110</td><td>6.67</td><td>74.9</td><td>II</td><td>196</td><td>4.79 (0.05)</td><td>50</td><td>5.65</td><td>3.64</td><td>I</td></tr><tr><td>91</td><td>4.24 (0.02)</td><td>70</td><td>5.55</td><td>17.5</td><td>II</td><td>197</td><td>5.02 (0.05)</td><td>56</td><td>8.16</td><td>4.70</td><td>II</td></tr><tr><td>92</td><td>4.71 (0.05)</td><td>95</td><td>4.93</td><td>41.6</td><td>II</td><td>198</td><td>4.90 (0.03)</td><td>50</td><td>9.83</td><td>3.28</td><td>I</td></tr><tr><td>93</td><td>4.79 (0.08)</td><td>85</td><td>3.75</td><td>27.1</td><td>II</td><td>199</td><td>4.76 (0.06)</td><td>50</td><td>8.11</td><td>3.72</td><td>I</td></tr><tr><td>94</td><td>4.49 (0.08)</td><td>50</td><td>3.11</td><td>4.72</td><td>I</td><td>200</td><td>4.72 (0.05)</td><td>50</td><td>6.07</td><td>3.83</td><td>I</td></tr><tr><td>95</td><td>4.55 (0.07)</td><td>50</td><td>3.31</td><td>4.47</td><td>I</td><td>201</td><td>4.56 (0.08)</td><td>50</td><td>4.47</td><td>4.42</td><td>I</td></tr><tr><td>96</td><td>4.60 (0.21)</td><td>100</td><td>3.45</td><td>51.8</td><td>II</td><td>202</td><td>3.44 (0.21)</td><td>50</td><td>0.47</td><td>11.8</td><td>I</td></tr><tr><td>99</td><td>4.81 (0.32)</td><td>100</td><td>1.37</td><td>49.9</td><td>II</td><td>203</td><td>4.47 (0.25)</td><td>50</td><td>1.85</td><td>4.78</td><td>I</td></tr><tr><td>100</td><td>4.88 (0.20)</td><td>85</td><td>2.49</td><td>26.2</td><td>II</td><td>204</td><td>5.00 (0.17)</td><td>50</td><td>3.47</td><td>3.02</td><td>I</td></tr><tr><td>101</td><td>4.71 (0.12)</td><td>85</td><td>3.75</td><td>27.9</td><td>II</td><td>205</td><td>4.69 (0.07)</td><td>50</td><td>4.47</td><td>3.95</td><td>I</td></tr><tr><td>102</td><td>4.64 (0.04)</td><td>100</td><td>5.50</td><td>51.5</td><td>II</td><td>206</td><td>4.56 (0.05)</td><td>50</td><td>5.28</td><td>4.45</td><td>I</td></tr><tr><td>103</td><td>4.95 (0.09)</td><td>198</td><td>15.5</td><td>100</td><td>II</td><td>207</td><td>4.77 (0.03)</td><td>65</td><td>9.00</td><td>9.93</td><td>II</td></tr><tr><td>104</td><td>4.20 (0.02)</td><td>100</td><td>6.54</td><td>55.8</td><td>II</td><td>208</td><td>4.83 (0.03)</td><td>50</td><td>9.32</td><td>3.51</td><td>I</td></tr><tr><td>105</td><td>4.40 (0.03)</td><td>100</td><td>5.55</td><td>53.8</td><td>II</td><td>209</td><td>4.76 (0.03)</td><td>50</td><td>9.69</td><td>3.73</td><td>I</td></tr><tr><td>106</td><td>4.91 (0.07)</td><td>80</td><td>5.68</td><td>20.5</td><td>II</td><td>210</td><td>4.80 (0.04)</td><td>50</td><td>9.82</td><td>3.60</td><td>I</td></tr><tr><td>107</td><td>4.68 (0.07)</td><td>70</td><td>4.44</td><td>13.8</td><td>II</td><td>211</td><td>4.85 (0.06)</td><td>80</td><td>7.15</td><td>21.0</td><td>II</td></tr><tr><td>108</td><td>4.67 (0.06)</td><td>70</td><td>4.95</td><td>13.8</td><td>II</td><td>212</td><td>4.64 (0.11)</td><td>50</td><td>3.53</td><td>4.13</td><td>I</td></tr></tbody></table>

warmer than 100–120 K, and a second set of regions, mainly away from the main shock, where the temperatures extend potentially down to 50 K. The details of how we extrapolate spectra of this second kind is summarized in Appendix B. Finally, the shock modeling also provides an alternative estimate of the amount of warm gas being processed through the shocks, since the models provide the mass flow rate into the shock and the cooling time for a given temperature. The total mass of warm gas is therefore the product of these two quantities for $T > 120$ K. The results are tabulated in Table 1.

Given the different approaches used to measure the H₂ masses, the three methods agree well in terms of how much warm ($T > 120$ K) gas is present over the mapped area. For the two-component temperature fitting method, most of the mass is (as expected) contained in the gas with the lowest temperature ($T_1$) component ($1.1 \times 10^9 M_☉$), with only 1% ($0.12 \times 10^8 M_☉$) being contained in the warmer component, $T_2$. The two-temperature method agrees well with the mass of warm ($T > 120$ K) gas processed through shocks ($1.0 \times 10^9 M_☉$). The power-law method yields a slightly lower warm H₂ mass of ($7.1 \pm 1.5) \times 10^8 M_☉$ than either of the other methods, but we have been more restrictive in the area sampled by this method. Nevertheless, to within 30%, all three methods are in agreement. As Table 1 shows, the majority of the warm gas that is processed through the shocks lies in the lower velocity shock component, whereas the mass of gas processed through the faster shocks is quite small.

What can we say about the warm to total molecular fraction? Guillard et al. (2012) estimated the total H₂ mass in the Quintet filament from IRAM 30 m observations to be $5 \times 10^9 M_☉$ (assuming a value of $N(H_2)/I_{co}$ of $2 \times 10^{20} \text{cm}^{-2} (\text{K km s}^{-1})^{-1}$

appropriate for the Galaxy). Adopting the two-temperature warm H₂ mass, we obtain a warm ($T > 120$ K)/total H₂ mass fraction of 0.22. However, since the IRAM beams did not cover the whole IRS spectral-fitting region, the total mass of gas was only approximately estimated. We also include some estimates of the warm mass fraction obtained by the two-temperature method over the area of three individual IRAM pointings in Table 1. In those cases, where the warm H₂ mass is dominated by hotter gas, the ratio of warm to total H₂ mass drops to 0.1.

An alternative method for estimating to total molecular gas down to some lower temperature has been presented by Togi & Smith (2016). The method relies on extrapolating the power-law index derived from the measured rotational lines to much lower temperatures under the assumption that a single power-law index applies to all the gas. The method, which has a practical lower limit of $T = 50$ K (see Appendix B for more details), has some advantages over conventional methods. For example, it is based on direct emission from the H₂ molecules, and therefore does not need to rely on assumed relationships between other tracers (such as CO) and molecular hydrogen. The power-law method can self-consistently estimate the fraction of warm gas (say $T > 120$ K) compared with the total H₂ mass found by extrapolating the power law down to lower temperatures. Using this method the warm gas fraction is

$$ \frac{M(>120 \text{ K})}{M_{\text{total}(T_l)}} = \frac{\int_{120}^{T_u} T^{-n}dT}{\int_{T_l}^{T_u} T^{-n}dT}, \qquad (1) $$

where (see Appendix B) $T_l$ has a practical lower limit of 50 K.
<figure><img src="image_10.png" /><figcaption>**Figure 9.** The velocity field (in km s⁻¹) of the low (A) and high (B) shock components required to fit the H₂ excitation diagrams superimposed on the optical HST image of the Quintet. The general trend of increasing shock velocity from the north to the south is evident, as well as a bulge in both components to the east toward NGC 7319 (see text). We also note that higher velocity shocks are seen in the northwest between the arms of the tidal filaments from NGC 7318a and 7318b.</figcaption></figure>

Although the average warm fraction over the whole map, using this method, is 0.1 (Table 1), Figure 10 shows that the fraction is >0.5 in the center of the main shock (in a few places it reaches unity), and is approximately 0.6 in the southern region, between NGC 7318b and the foreground galaxy NGC 7320. Given the uncertainty in extrapolating down to low temperatures using the power-law method, and a similar large uncertainty and known scatter in the I<sub>co</sub>/N(H<sub>2</sub>) relationship used by Guillard et al. (2012) in their estimate of the total mass of H<sub>2</sub>, the results for the warm mass fraction using the various methods are consistent.

**7. Properties across and along the Main H₂ Filament**

We present two “sectional slices” through the H₂ structure both across the main shock from west to east (in Figure 11) and along the main shock from south to north (Figure 12). These slices help to illustrate some general properties of the gas in the main filament. The inset images (one per figure) show the direction (arrow) and position of the slices we are considering.

In Figures 11(A) and (B), as we progress from west to east across the main shock, a sharp rise in the fraction of warm gas in the shock is observed, and at the same time a drop in the power-law index at position 104, indicating high overall excitation there. In Figure 11(C), we see that the temperature of the cooler gas (T₁) peaks first, followed by a peak in the warmer component (T₂) further to the east. In Figure 11(D), we show both the molecular mass associated with the hotter (T₂) component and the mass associated with the fast shocks (fast and slow shock velocities are shown in Figure 11(E)). The two track each other and peak at the same position as the minimum in the power-law index. This suggests that the warmer component essentially maps the fast shocks. This is in contrast to Figure 11(F), which shows the mass of gas associated with

both the cooler component (T₁) and the low-velocity shock component. Both show a depression in the H₂ mass associated with the slower shocks at the position of the peak, followed by a rise again beyond position 105. There is significantly more mass associated with the cooler components than the warmer, and the depression may be a real deficit of rotationally excited H₂ at the position of the maximum heating. The effect is still present (but less pronounced) in the plot of the total warm H₂ derived from the power-law fitting.

In Figure 11(G) we use the shock modeling to determine the kinetic energy dissipated by the slow and fast shocks. The kinetic energy deposited is 0.5(Μt<sub>cool</sub>)V<sup>2</sup><sub>shock</sub> [J] (see Table 5), where Μ is the rate of gas processing in M<sub>☉</sub> yr<sup>-1</sup> (see Table 5). The cooling time, t<sub>cool</sub>, is very short (typically 10<sup>2</sup>-10<sup>3</sup> yr). It can be seen that the fast shocks deposit more energy at the position 104, falling off on either side, whereas the slow shocks deposit more energy on either side of the filament, with a decrease at position 104. Nevertheless, the slow shocks appear to deposit more total kinetic energy than the fast shocks. Interestingly, the overall kinetic energy deposited by the slow shocks continues to increase at positions beyond position 106. This is the region that extends into the bridge region between the main shock and NGC 7319.

In Figure 12 we show a very similar set of diagnostic plots to the previous figure, but this time emphasizing a line of points running from south to north along the main ridge of the filament (see inset image and arrow). Here we see a general decrease in excitation from south to north in almost all the indicators. Figures 12(A), (C), and (E) show a general decrease in the warm mass fraction, the temperature (both T₁ and T₂) and model shock velocities (fast and slow) along the filament. On the other hand, the power-law index rises, and the mass associated with the gas also increase northward for all
<table><caption>Table 5
H₂ Fluxes Fitted with Shock Models with Pre-shock Densities $n_H = 10^4$ and $10^3$ cm⁻³ for the Slow and Fast Shocks Respectively</caption><thead><tr><th>Region</th><th>V<sub>s</sub><sup>a</sup><br>(km s<sup>-1</sup>)</th><th>Mass Flow (120 K)<sup>b</sup><br>(10<sup>2</sup> M<sub>☉</sub> yr<sup>-1</sup>)</th><th>t<sub>cool</sub>(120 K)<sup>c</sup><br>(10<sup>2</sup> yr)</th><th>M(120 K)(H<sub>2</sub>)<sup>d</sup><br>(10<sup>5</sup> M<sub>☉</sub>)</th><th>Mass Flow (50 K)<sup>b</sup><br>(10<sup>2</sup> M<sub>☉</sub> yr<sup>-1</sup>)</th><th>t<sub>cool</sub>(50 K)<sup>c</sup><br>(10<sup>2</sup> yr)</th><th>M(50 K)(H<sub>2</sub>)<sup>d</sup><br>(10<sup>5</sup> M<sub>☉</sub>)</th></tr></thead><tbody><tr><td rowspan="2">1</td><td>6.0</td><td>3.25 (0.86)</td><td>2.47</td><td>0.80 (0.21)</td><td>3.23 (0.86)</td><td>5.08</td><td>1.64 (0.44)</td></tr><tr><td>33.5</td><td>3.51 (0.77)</td><td>10.86</td><td>3.81 (0.84)</td><td>2.17 (0.48)</td><td>33.27</td><td>7.20 (1.59)</td></tr><tr><td rowspan="2">2</td><td>5.5</td><td>6.71 (1.23)</td><td>2.30</td><td>1.55 (0.28)</td><td>6.80 (1.22)</td><td>5.42</td><td>3.68 (0.66)</td></tr><tr><td>32.5</td><td>4.75 (0.26)</td><td>6.36</td><td>3.02 (0.17)</td><td>2.93 (0.16)</td><td>32.25</td><td>9.44 (0.52)</td></tr><tr><td rowspan="2">3</td><td>5.5</td><td>12.42 (1.32)</td><td>2.30</td><td>2.86 (0.31)</td><td>12.43 (1.32)</td><td>5.42</td><td>6.74 (0.71)</td></tr><tr><td>32.5</td><td>2.92 (0.65)</td><td>6.36</td><td>1.85 (0.42)</td><td>1.76 (0.40)</td><td>32.25</td><td>5.69 (1.29)</td></tr><tr><td rowspan="2">4</td><td>7.0</td><td>15.25 (0.49)</td><td>2.63</td><td>4.02 (0.13)</td><td>15.22 (0.49)</td><td>4.86</td><td>7.40 (0.24)</td></tr><tr><td>33.5</td><td>2.97 (0.81)</td><td>10.86</td><td>3.22 (0.88)</td><td>1.84 (0.50)</td><td>33.27</td><td>6.14 (1.67)</td></tr><tr><td rowspan="2">5</td><td>4.5</td><td>73.29 (4.62)</td><td>2.29</td><td>16.75 (1.06)</td><td>72.01 (4.54)</td><td>5.91</td><td>42.55 (2.68)</td></tr><tr><td>14.5</td><td>0.97 (0.05)</td><td>4.71</td><td>0.46 (0.03)</td><td>0.97 (0.05)</td><td>6.41</td><td>0.62 (0.04)</td></tr><tr><td rowspan="2">6</td><td>4.5</td><td>70.04 (4.91)</td><td>2.29</td><td>16.00 (1.12)</td><td>33.17 (2.24)</td><td>5.99</td><td>19.87 (1.34)</td></tr><tr><td>21.5</td><td>0.10 (0.01)</td><td>4.87</td><td>0.05 (0.01)</td><td>1.40 (0.19)</td><td>33.27</td><td>4.65 (0.63)</td></tr><tr><td rowspan="2">7</td><td>4.0</td><td>265.90 (18.27)</td><td>2.19</td><td>58.28 (4.00)</td><td>71.57 (4.91)</td><td>5.91</td><td>42.29 (2.90)</td></tr><tr><td>22.5</td><td>0.43 (0.03)</td><td>4.80</td><td>0.21 (0.01)</td><td>0.42 (0.03)</td><td>6.48</td><td>0.27 (0.02)</td></tr><tr><td rowspan="2">8</td><td>4.0</td><td>263.01 (14.42)</td><td>2.19</td><td>57.64 (3.16)</td><td>247.86 (13.61)</td><td>6.38</td><td>158.21 (8.69)</td></tr><tr><td>18.0</td><td>0.62 (0.03)</td><td>4.90</td><td>0.30 (0.01)</td><td>0.62 (0.03)</td><td>6.64</td><td>0.41 (0.02)</td></tr><tr><td rowspan="2">9</td><td>6.5</td><td>12.64 (0.59)</td><td>2.59</td><td>3.28 (0.15)</td><td>12.61 (0.59)</td><td>4.83</td><td>6.09 (0.29)</td></tr><tr><td>33.5</td><td>3.59 (0.79)</td><td>10.86</td><td>3.89 (0.86)</td><td>2.23 (0.49)</td><td>33.27</td><td>7.42 (1.63)</td></tr><tr><td rowspan="2">10</td><td>4.0</td><td>199.64 (13.10)</td><td>2.19</td><td>43.75 (2.87)</td><td>185.54 (12.44)</td><td>6.38</td><td>118.43 (7.94)</td></tr><tr><td>17.5</td><td>0.44 (0.03)</td><td>4.93</td><td>0.22 (0.01)</td><td>0.49 (0.03)</td><td>6.61</td><td>0.32 (0.02)</td></tr><tr><td rowspan="2">11</td><td>5.5</td><td>5.76 (0.94)</td><td>2.30</td><td>1.33 (0.22)</td><td>5.75 (0.93)</td><td>5.42</td><td>3.12 (0.50)</td></tr><tr><td>33.0</td><td>2.69 (0.60)</td><td>8.49</td><td>2.29 (0.51)</td><td>1.74 (0.39)</td><td>32.25</td><td>5.62 (1.25)</td></tr><tr><td rowspan="2">12</td><td>5.5</td><td>21.04 (1.21)</td><td>2.30</td><td>4.85 (0.28)</td><td>20.96 (1.20)</td><td>5.42</td><td>11.37 (0.65)</td></tr><tr><td>34.0</td><td>4.30 (0.78)</td><td>12.91</td><td>5.55 (1.00)</td><td>2.71 (0.49)</td><td>33.53</td><td>9.08 (1.64)</td></tr><tr><td rowspan="2">13</td><td>4.5</td><td>159.70 (4.87)</td><td>2.29</td><td>36.49 (1.11)</td><td>156.82 (4.79)</td><td>5.91</td><td>92.66 (2.83)</td></tr><tr><td>14.0</td><td>0.95 (0.06)</td><td>4.64</td><td>0.44 (0.03)</td><td>0.95 (0.06)</td><td>6.35</td><td>0.61 (0.04)</td></tr><tr><td rowspan="2">14</td><td>6.0</td><td>38.24 (0.84)</td><td>2.47</td><td>9.45 (0.21)</td><td>38.37 (0.84)</td><td>5.08</td><td>19.48 (0.43)</td></tr><tr><td>32.5</td><td>16.27 (0.70)</td><td>6.36</td><td>10.35 (0.44)</td><td>9.85 (0.42)</td><td>32.25</td><td>31.76 (1.37)</td></tr><tr><td rowspan="2">15</td><td>5.5</td><td>38.66 (1.23)</td><td>2.30</td><td>8.90 (0.28)</td><td>38.83 (1.22)</td><td>5.42</td><td>21.05 (0.66)</td></tr><tr><td>32.5</td><td>11.91 (0.68)</td><td>6.36</td><td>7.57 (0.43)</td><td>7.17 (0.42)</td><td>32.25</td><td>23.12 (1.34)</td></tr><tr><td rowspan="2">16</td><td>5.5</td><td>35.43 (1.33)</td><td>2.30</td><td>8.16 (0.31)</td><td>35.26 (1.33)</td><td>5.42</td><td>19.12 (0.72)</td></tr><tr><td>33.5</td><td>3.49 (0.76)</td><td>10.86</td><td>3.79 (0.82)</td><td>2.16 (0.47)</td><td>33.27</td><td>7.18 (1.56)</td></tr><tr><td rowspan="2">17</td><td>6.0</td><td>30.51 (0.88)</td><td>2.47</td><td>7.54 (0.22)</td><td>30.38 (0.88)</td><td>5.08</td><td>15.42 (0.45)</td></tr><tr><td>33.0</td><td>7.24 (0.62)</td><td>8.49</td><td>6.14 (0.53)</td><td>4.75 (0.41)</td><td>32.25</td><td>15.31 (1.31)</td></tr><tr><td rowspan="2">18</td><td>5.5</td><td>27.75 (1.23)</td><td>2.30</td><td>6.39 (0.28)</td><td>27.92 (1.21)</td><td>5.42</td><td>15.14 (0.65)</td></tr><tr><td>25.0</td><td>3.05 (0.55)</td><td>0.65</td><td>0.20 (0.04)</td><td>2.50 (0.44)</td><td>32.78</td><td>8.19 (1.46)</td></tr><tr><td rowspan="2">19</td><td>5.5</td><td>16.84 (1.18)</td><td>2.30</td><td>3.88 (0.27)</td><td>16.85 (1.17)</td><td>5.42</td><td>9.13 (0.64)</td></tr><tr><td>32.5</td><td>2.66 (0.65)</td><td>6.36</td><td>1.69 (0.42)</td><td>1.60 (0.40)</td><td>32.25</td><td>5.16 (1.29)</td></tr><tr><td rowspan="2">20</td><td>5.0</td><td>25.99 (1.97)</td><td>2.32</td><td>6.04 (0.46)</td><td>26.26 (1.95)</td><td>5.99</td><td>15.72 (1.17)</td></tr><tr><td>32.5</td><td>7.82 (0.66)</td><td>6.36</td><td>4.97 (0.42)</td><td>4.68 (0.40)</td><td>32.25</td><td>15.08 (1.30)</td></tr><tr><td rowspan="2">21</td><td>6.0</td><td>7.35 (0.80)</td><td>2.47</td><td>1.82 (0.20)</td><td>7.38 (0.79)</td><td>5.08</td><td>3.75 (0.40)</td></tr><tr><td>32.5</td><td>2.59 (0.66)</td><td>6.36</td><td>1.64 (0.42)</td><td>1.54 (0.40)</td><td>32.25</td><td>4.96 (1.31)</td></tr><tr><td rowspan="2">22</td><td>5.5</td><td>24.65 (1.21)</td><td>2.30</td><td>5.68 (0.28)</td><td>24.61 (1.20)</td><td>5.42</td><td>13.35 (0.65)</td></tr><tr><td>32.5</td><td>2.44 (0.64)</td><td>6.36</td><td>1.55 (0.41)</td><td>1.46 (0.39)</td><td>32.25</td><td>4.69 (1.26)</td></tr><tr><td rowspan="2">23</td><td>5.5</td><td>44.30 (1.33)</td><td>2.30</td><td>10.20 (0.31)</td><td>44.08 (1.32)</td><td>5.42</td><td>23.90 (0.72)</td></tr><tr><td>21.0</td><td>0.17 (0.03)</td><td>4.87</td><td>0.08 (0.02)</td><td>0.17 (0.03)</td><td>6.55</td><td>0.11 (0.02)</td></tr><tr><td rowspan="2">24</td><td>5.5</td><td>53.66 (1.29)</td><td>2.30</td><td>12.36 (0.30)</td><td>53.86 (1.28)</td><td>5.42</td><td>29.20 (0.69)</td></tr><tr><td>24.5</td><td>7.48 (0.56)</td><td>0.65</td><td>0.49 (0.04)</td><td>6.34 (0.48)</td><td>30.76</td><td>19.51 (1.46)</td></tr><tr><td rowspan="2">25</td><td>5.5</td><td>52.02 (1.24)</td><td>2.30</td><td>11.98 (0.29)</td><td>51.83 (1.23)</td><td>5.42</td><td>28.10 (0.67)</td></tr><tr><td>35.0</td><td>11.36 (0.85)</td><td>12.43</td><td>14.12 (1.06)</td><td>7.03 (0.53)</td><td>33.70</td><td>23.68 (1.78)</td></tr><tr><td rowspan="2">26</td><td>5.5</td><td>35.45 (1.32)</td><td>2.30</td><td>8.16 (0.30)</td><td>35.27 (1.31)</td><td>5.42</td><td>19.12 (0.71)</td></tr><tr><td>28.0</td><td>6.64 (0.62)</td><td>0.62</td><td>0.41 (0.04)</td><td>4.54 (0.42)</td><td>27.05</td><td>12.27 (1.15)</td></tr><tr><td rowspan="2">27</td><td>4.0</td><td>303.89 (15.60)</td><td>2.19</td><td>66.60 (3.42)</td><td>81.06 (4.16)</td><td>5.91</td><td>47.89 (2.46)</td></tr><tr><td>22.5</td><td>0.36 (0.03)</td><td>4.80</td><td>0.17 (0.01)</td><td>0.35 (0.03)</td><td>6.48</td><td>0.23 (0.02)</td></tr><tr><td rowspan="2">28</td><td>4.5</td><td>78.34 (4.49)</td><td>2.29</td><td>17.90 (1.03)</td><td>78.44 (4.38)</td><td>5.91</td><td>46.35 (2.59)</td></tr><tr><td>25.0</td><td>4.26 (0.52)</td><td>0.65</td><td>0.28 (0.03)</td><td>3.49 (0.42)</td><td>32.78</td><td>11.45 (1.38)</td></tr><tr><td rowspan="2">29</td><td>5.5</td><td>18.51 (1.20)</td><td>2.30</td><td>4.26 (0.28)</td><td>18.51 (1.19)</td><td>5.42</td><td>10.04 (0.64)</td></tr><tr><td>32.5</td><td>2.62 (0.65)</td><td>6.36</td><td>1.67 (0.42)</td><td>1.57 (0.40)</td><td>32.25</td><td>5.06 (1.29)</td></tr><tr><td rowspan="2">30</td><td>5.5</td><td>15.57 (1.22)</td><td>2.30</td><td>3.59 (0.28)</td><td>14.84 (1.25)</td><td>5.42</td><td>8.04 (0.68)</td></tr><tr><td>32.5</td><td>2.81 (0.65)</td><td>6.36</td><td>1.78 (0.42)</td><td>1.83 (0.43)</td><td>27.05</td><td>4.94 (1.17)</td></tr><tr><td rowspan="2">31</td><td>6.0</td><td>4.40 (0.82)</td><td>2.47</td><td>1.09 (0.20)</td><td>4.37 (0.82)</td><td>5.08</td><td>2.22 (0.41)</td></tr><tr><td>33.0</td><td>2.69 (0.62)</td><td>8.49</td><td>2.29 (0.53)</td><td>1.75 (0.41)</td><td>32.25</td><td>5.64 (1.31)</td></tr><tr><td rowspan="2">32</td><td>5.5</td><td>10.79 (1.13)</td><td>2.30</td><td>2.49 (0.26)</td><td>10.75 (1.13)</td><td>5.42</td><td>5.83 (0.61)</td></tr></tbody></table>
<table><caption>**Table 5**
(Continued)</caption><thead><tr><th>Region</th><th>V<sub>s</sub><sup>a</sup><br>(km s<sup>-1</sup>)</th><th>Mass Flow (120 K)<sup>b</sup><br>(10<sup>2</sup> M<sub>☉</sub> yr<sup>-1</sup>)</th><th>t<sub>cool</sub>(120 K)<sup>c</sup><br>(10<sup>2</sup> yr)</th><th>M(120 K)(H<sub>2</sub>)<sup>d</sup><br>(10<sup>5</sup> M<sub>☉</sub>)</th><th>Mass Flow (50 K)<sup>b</sup><br>(10<sup>2</sup> M<sub>☉</sub> yr<sup>-1</sup>)</th><th>t<sub>cool</sub>(50 K)<sup>c</sup><br>(10<sup>2</sup> yr)</th><th>M(50 K)(H<sub>2</sub>)<sup>d</sup><br>(10<sup>5</sup> M<sub>☉</sub>)</th></tr></thead><tbody><tr><td></td><td>33.0</td><td>2.72 (0.61)</td><td>8.49</td><td>2.31 (0.52)</td><td>1.77 (0.40)</td><td>32.25</td><td>5.70 (1.29)</td></tr><tr><td rowspan="2">33</td><td>5.5</td><td>23.25 (1.24)</td><td>2.30</td><td>5.35 (0.29)</td><td>23.14 (1.23)</td><td>5.42</td><td>12.55 (0.67)</td></tr><tr><td>33.5</td><td>3.44 (0.75)</td><td>10.86</td><td>3.73 (0.81)</td><td>2.12 (0.46)</td><td>33.27</td><td>7.05 (1.53)</td></tr><tr><td rowspan="2">34</td><td>5.5</td><td>46.56 (1.25)</td><td>2.30</td><td>10.72 (0.29)</td><td>46.84 (1.24)</td><td>5.42</td><td>25.40 (0.67)</td></tr><tr><td>24.5</td><td>6.50 (0.29)</td><td>0.65</td><td>0.42 (0.02)</td><td>5.55 (0.24)</td><td>32.09</td><td>17.81 (0.78)</td></tr><tr><td rowspan="2">35</td><td>6.0</td><td>33.18 (0.87)</td><td>2.47</td><td>8.21 (0.22)</td><td>33.15 (0.87)</td><td>5.08</td><td>16.83 (0.44)</td></tr><tr><td>35.0</td><td>10.60 (0.63)</td><td>12.43</td><td>13.18 (0.79)</td><td>6.55 (0.39)</td><td>33.70</td><td>22.07 (1.32)</td></tr><tr><td rowspan="2">36</td><td>6.0</td><td>23.62 (0.87)</td><td>2.47</td><td>5.84 (0.21)</td><td>23.58 (0.86)</td><td>5.08</td><td>11.97 (0.44)</td></tr><tr><td>33.0</td><td>2.57 (0.67)</td><td>8.49</td><td>2.18 (0.57)</td><td>1.69 (0.44)</td><td>32.25</td><td>5.46 (1.43)</td></tr><tr><td rowspan="2">37</td><td>5.5</td><td>25.98 (1.19)</td><td>2.30</td><td>5.98 (0.27)</td><td>25.13 (1.21)</td><td>5.42</td><td>13.63 (0.66)</td></tr><tr><td>33.5</td><td>3.57 (0.75)</td><td>10.86</td><td>3.87 (0.81)</td><td>2.10 (0.44)</td><td>32.09</td><td>6.75 (1.42)</td></tr><tr><td rowspan="2">38</td><td>5.5</td><td>24.70 (1.35)</td><td>2.30</td><td>5.69 (0.31)</td><td>24.66 (1.34)</td><td>5.42</td><td>13.37 (0.73)</td></tr><tr><td>32.5</td><td>2.74 (0.65)</td><td>6.36</td><td>1.74 (0.41)</td><td>1.64 (0.39)</td><td>32.25</td><td>5.30 (1.27)</td></tr><tr><td rowspan="2">39</td><td>5.5</td><td>19.66 (1.45)</td><td>2.30</td><td>4.53 (0.33)</td><td>19.56 (1.45)</td><td>5.42</td><td>10.61 (0.78)</td></tr><tr><td>33.0</td><td>2.57 (0.60)</td><td>8.49</td><td>2.18 (0.51)</td><td>1.66 (0.39)</td><td>32.25</td><td>5.37 (1.27)</td></tr><tr><td rowspan="2">40</td><td>5.5</td><td>17.93 (1.12)</td><td>2.30</td><td>4.13 (0.26)</td><td>17.85 (1.12)</td><td>5.42</td><td>9.68 (0.60)</td></tr><tr><td>33.0</td><td>2.66 (0.60)</td><td>8.49</td><td>2.26 (0.51)</td><td>1.72 (0.39)</td><td>32.25</td><td>5.56 (1.26)</td></tr><tr><td rowspan="2">41</td><td>6.5</td><td>4.31 (0.56)</td><td>2.59</td><td>1.12 (0.14)</td><td>4.29 (0.56)</td><td>4.83</td><td>2.07 (0.27)</td></tr><tr><td>33.5</td><td>3.56 (0.78)</td><td>10.86</td><td>3.87 (0.85)</td><td>2.20 (0.48)</td><td>33.27</td><td>7.32 (1.61)</td></tr><tr><td rowspan="2">42</td><td>6.0</td><td>11.76 (0.85)</td><td>2.47</td><td>2.91 (0.21)</td><td>11.72 (0.85)</td><td>5.08</td><td>5.95 (0.43)</td></tr><tr><td>33.5</td><td>3.51 (0.77)</td><td>10.86</td><td>3.81 (0.84)</td><td>2.16 (0.48)</td><td>33.27</td><td>7.19 (1.59)</td></tr><tr><td rowspan="2">43</td><td>5.5</td><td>38.39 (1.24)</td><td>2.30</td><td>8.84 (0.29)</td><td>38.21 (1.23)</td><td>5.42</td><td>20.72 (0.67)</td></tr><tr><td>33.5</td><td>3.47 (0.76)</td><td>10.86</td><td>3.77 (0.83)</td><td>2.15 (0.47)</td><td>33.27</td><td>7.15 (1.57)</td></tr><tr><td rowspan="2">44</td><td>5.5</td><td>48.30 (1.33)</td><td>2.30</td><td>11.12 (0.31)</td><td>48.71 (1.29)</td><td>5.42</td><td>26.41 (0.70)</td></tr><tr><td>25.0</td><td>6.16 (0.76)</td><td>0.65</td><td>0.40 (0.05)</td><td>5.00 (0.61)</td><td>32.78</td><td>16.41 (2.01)</td></tr><tr><td rowspan="2">45</td><td>6.0</td><td>35.98 (0.85)</td><td>2.47</td><td>8.90 (0.21)</td><td>35.92 (0.85)</td><td>5.08</td><td>18.23 (0.43)</td></tr><tr><td>35.0</td><td>10.36 (0.90)</td><td>12.43</td><td>12.88 (1.12)</td><td>6.40 (0.56)</td><td>33.70</td><td>21.57 (1.88)</td></tr><tr><td rowspan="2">46</td><td>5.0</td><td>61.91 (1.99)</td><td>2.32</td><td>14.38 (0.46)</td><td>61.46 (1.98)</td><td>5.99</td><td>36.81 (1.18)</td></tr><tr><td>22.0</td><td>0.34 (0.02)</td><td>4.81</td><td>0.16 (0.01)</td><td>0.34 (0.02)</td><td>6.59</td><td>0.22 (0.02)</td></tr><tr><td rowspan="2">47</td><td>6.0</td><td>17.87 (0.87)</td><td>2.47</td><td>4.42 (0.22)</td><td>17.82 (0.87)</td><td>5.08</td><td>9.05 (0.44)</td></tr><tr><td>33.0</td><td>2.48 (0.62)</td><td>8.49</td><td>2.11 (0.53)</td><td>1.61 (0.41)</td><td>32.25</td><td>5.20 (1.31)</td></tr><tr><td rowspan="2">48</td><td>5.5</td><td>25.10 (1.30)</td><td>2.30</td><td>5.78 (0.30)</td><td>24.05 (1.32)</td><td>5.42</td><td>13.04 (0.71)</td></tr><tr><td>33.5</td><td>4.90 (0.67)</td><td>10.86</td><td>5.33 (0.73)</td><td>2.91 (0.40)</td><td>32.26</td><td>9.37 (1.28)</td></tr><tr><td rowspan="2">49</td><td>4.0</td><td>299.23 (17.97)</td><td>2.19</td><td>65.58 (3.94)</td><td>81.21 (4.81)</td><td>5.91</td><td>47.98 (2.84)</td></tr><tr><td>16.0</td><td>0.43 (0.03)</td><td>4.85</td><td>0.21 (0.02)</td><td>0.37 (0.03)</td><td>6.57</td><td>0.24 (0.02)</td></tr><tr><td rowspan="2">50</td><td>4.5</td><td>72.30 (5.12)</td><td>2.29</td><td>16.52 (1.17)</td><td>71.04 (5.03)</td><td>5.91</td><td>41.97 (2.97)</td></tr><tr><td>20.0</td><td>0.21 (0.03)</td><td>4.95</td><td>0.10 (0.01)</td><td>0.21 (0.03)</td><td>6.65</td><td>0.14 (0.02)</td></tr><tr><td rowspan="2">51</td><td>5.0</td><td>16.06 (2.19)</td><td>2.32</td><td>3.73 (0.51)</td><td>111.40 (16.53)</td><td>6.38</td><td>71.10 (10.55)</td></tr><tr><td>34.0</td><td>3.97 (0.77)</td><td>12.91</td><td>5.12 (1.00)</td><td>2.42 (0.44)</td><td>31.19</td><td>7.54 (1.37)</td></tr><tr><td rowspan="2">52</td><td>5.0</td><td>33.41 (2.05)</td><td>2.32</td><td>7.76 (0.48)</td><td>34.56 (2.02)</td><td>5.99</td><td>20.69 (1.21)</td></tr><tr><td>31.5</td><td>8.11 (0.78)</td><td>2.90</td><td>2.35 (0.22)</td><td>4.49 (0.43)</td><td>32.25</td><td>14.49 (1.39)</td></tr><tr><td rowspan="2">53</td><td>6.0</td><td>28.42 (0.85)</td><td>2.47</td><td>7.03 (0.21)</td><td>28.54 (0.85)</td><td>5.08</td><td>14.49 (0.43)</td></tr><tr><td>32.0</td><td>4.95 (0.28)</td><td>4.49</td><td>2.22 (0.13)</td><td>2.86 (0.16)</td><td>32.25</td><td>9.21 (0.52)</td></tr><tr><td rowspan="2">54</td><td>6.0</td><td>42.56 (0.85)</td><td>2.47</td><td>10.52 (0.21)</td><td>41.69 (0.85)</td><td>5.08</td><td>21.16 (0.43)</td></tr><tr><td>30.5</td><td>12.03 (0.32)</td><td>0.75</td><td>0.90 (0.02)</td><td>7.28 (0.20)</td><td>27.05</td><td>19.68 (0.53)</td></tr><tr><td rowspan="2">55</td><td>6.0</td><td>58.51 (0.84)</td><td>2.47</td><td>14.47 (0.21)</td><td>58.25 (0.84)</td><td>5.08</td><td>29.57 (0.43)</td></tr><tr><td>33.0</td><td>10.76 (0.32)</td><td>8.49</td><td>9.13 (0.27)</td><td>7.14 (0.21)</td><td>32.25</td><td>23.02 (0.69)</td></tr><tr><td rowspan="2">56</td><td>6.0</td><td>45.19 (0.82)</td><td>2.47</td><td>11.17 (0.20)</td><td>45.17 (0.82)</td><td>5.08</td><td>22.93 (0.42)</td></tr><tr><td>32.5</td><td>7.85 (0.26)</td><td>6.36</td><td>4.99 (0.17)</td><td>4.83 (0.16)</td><td>32.25</td><td>15.59 (0.52)</td></tr><tr><td rowspan="2">57</td><td>5.5</td><td>42.55 (1.23)</td><td>2.30</td><td>9.80 (0.28)</td><td>42.36 (1.22)</td><td>5.42</td><td>22.97 (0.66)</td></tr><tr><td>33.0</td><td>2.49 (0.61)</td><td>8.49</td><td>2.11 (0.52)</td><td>1.62 (0.40)</td><td>32.25</td><td>5.22 (1.28)</td></tr><tr><td rowspan="2">58</td><td>5.0</td><td>50.78 (1.88)</td><td>2.32</td><td>11.79 (0.44)</td><td>50.48 (1.86)</td><td>5.99</td><td>30.23 (1.11)</td></tr><tr><td>35.0</td><td>9.46 (0.87)</td><td>12.43</td><td>11.75 (1.09)</td><td>5.82 (0.54)</td><td>33.70</td><td>19.61 (1.81)</td></tr><tr><td rowspan="2">59</td><td>5.0</td><td>44.20 (2.20)</td><td>2.32</td><td>10.26 (0.51)</td><td>44.37 (2.18)</td><td>5.99</td><td>26.57 (1.30)</td></tr><tr><td>25.0</td><td>2.85 (0.30)</td><td>0.65</td><td>0.18 (0.02)</td><td>2.34 (0.25)</td><td>32.78</td><td>7.67 (0.81)</td></tr><tr><td rowspan="2">60</td><td>5.0</td><td>38.50 (1.71)</td><td>2.32</td><td>8.94 (0.40)</td><td>38.50 (1.69)</td><td>5.99</td><td>23.06 (1.01)</td></tr><tr><td>32.5</td><td>5.29 (0.75)</td><td>6.36</td><td>3.37 (0.47)</td><td>3.22 (0.46)</td><td>32.25</td><td>10.38 (1.48)</td></tr><tr><td rowspan="2">61</td><td>6.0</td><td>4.74 (0.75)</td><td>2.47</td><td>1.17 (0.19)</td><td>4.78 (0.75)</td><td>5.08</td><td>2.43 (0.38)</td></tr><tr><td>32.5</td><td>2.90 (0.66)</td><td>6.36</td><td>1.84 (0.42)</td><td>1.75 (0.40)</td><td>32.25</td><td>5.64 (1.30)</td></tr><tr><td rowspan="2">62</td><td>5.0</td><td>31.44 (1.83)</td><td>2.32</td><td>7.30 (0.42)</td><td>30.21 (1.84)</td><td>5.99</td><td>18.09 (1.10)</td></tr><tr><td>34.0</td><td>3.98 (0.78)</td><td>12.91</td><td>5.13 (1.00)</td><td>2.25 (0.44)</td><td>32.78</td><td>7.38 (1.44)</td></tr><tr><td rowspan="2">63</td><td>5.5</td><td>38.39 (1.34)</td><td>2.30</td><td>8.84 (0.31)</td><td>38.22 (1.34)</td><td>5.42</td><td>20.73 (0.72)</td></tr><tr><td>33.5</td><td>2.15 (0.31)</td><td>10.86</td><td>2.34 (0.33)</td><td>1.34 (0.19)</td><td>33.27</td><td>4.44 (0.63)</td></tr></tbody></table>
<table><caption>**Table 5**
(Continued)</caption><thead><tr><th>Region</th><th>V<sub>s</sub><sup>a</sup><br>(km s<sup>-1</sup>)</th><th>Mass Flow (120 K)<sup>b</sup><br>(10<sup>2</sup> M<sub>☉</sub> yr<sup>-1</sup>)</th><th>t<sub>cool</sub>(120 K)<sup>c</sup><br>(10<sup>2</sup> yr)</th><th>M(120 K)(H<sub>2</sub>)<sup>d</sup><br>(10<sup>5</sup> M<sub>☉</sub>)</th><th>Mass Flow (50 K)<sup>b</sup><br>(10<sup>2</sup> M<sub>☉</sub> yr<sup>-1</sup>)</th><th>t<sub>cool</sub>(50 K)<sup>c</sup><br>(10<sup>2</sup> yr)</th><th>M(50 K)(H<sub>2</sub>)<sup>d</sup><br>(10<sup>5</sup> M<sub>☉</sub>)</th></tr></thead><tbody><tr><td rowspan="2">64</td><td>5.5</td><td>59.82 (1.40)</td><td>2.30</td><td>13.78 (0.32)</td><td>59.59 (1.39)</td><td>5.42</td><td>32.31 (0.75)</td></tr><tr><td>35.0</td><td>7.00 (1.05)</td><td>12.43</td><td>8.70 (1.30)</td><td>4.35 (0.64)</td><td>33.70</td><td>14.67 (2.17)</td></tr><tr><td rowspan="2">65</td><td>6.0</td><td>49.63 (0.86)</td><td>2.47</td><td>12.27 (0.21)</td><td>239.69 (23.37)</td><td>6.38</td><td>152.99 (14.91)</td></tr><tr><td>33.5</td><td>3.25 (0.77)</td><td>10.86</td><td>3.53 (0.84)</td><td>28.62 (0.89)</td><td>4.83</td><td>13.82 (0.43)</td></tr><tr><td rowspan="2">66</td><td>4.0</td><td>302.73 (27.28)</td><td>2.19</td><td>66.35 (5.98)</td><td>284.03 (25.45)</td><td>6.38</td><td>181.29 (16.24)</td></tr><tr><td>6.5</td><td>32.18 (1.07)</td><td>2.59</td><td>8.34 (0.28)</td><td>32.24 (1.06)</td><td>4.83</td><td>15.56 (0.51)</td></tr><tr><td rowspan="2">67</td><td>4.0</td><td>356.40 (27.33)</td><td>2.19</td><td>78.11 (5.99)</td><td>334.08 (25.50)</td><td>6.38</td><td>213.24 (16.28)</td></tr><tr><td>6.5</td><td>19.19 (1.08)</td><td>2.59</td><td>4.97 (0.28)</td><td>19.29 (1.07)</td><td>4.83</td><td>9.31 (0.52)</td></tr><tr><td rowspan="2">68</td><td>5.0</td><td>60.79 (2.23)</td><td>2.32</td><td>14.12 (0.52)</td><td>60.35 (2.21)</td><td>5.99</td><td>36.14 (1.32)</td></tr><tr><td>19.5</td><td>0.23 (0.03)</td><td>4.92</td><td>0.11 (0.02)</td><td>0.23 (0.03)</td><td>6.49</td><td>0.15 (0.02)</td></tr><tr><td rowspan="2">69</td><td>5.5</td><td>28.78 (1.30)</td><td>2.30</td><td>6.63 (0.30)</td><td>28.65 (1.30)</td><td>5.42</td><td>15.54 (0.70)</td></tr><tr><td>33.0</td><td>2.48 (0.60)</td><td>8.49</td><td>2.11 (0.51)</td><td>1.61 (0.39)</td><td>32.25</td><td>5.19 (1.27)</td></tr><tr><td rowspan="2">70</td><td>5.0</td><td>38.78 (2.10)</td><td>2.32</td><td>9.01 (0.49)</td><td>38.50 (2.08)</td><td>5.99</td><td>23.06 (1.25)</td></tr><tr><td>22.5</td><td>0.13 (0.02)</td><td>4.80</td><td>0.06 (0.01)</td><td>0.13 (0.02)</td><td>6.48</td><td>0.08 (0.01)</td></tr><tr><td rowspan="2">71</td><td>5.5</td><td>5.49 (1.26)</td><td>2.30</td><td>1.26 (0.29)</td><td>5.47 (1.25)</td><td>5.42</td><td>2.96 (0.68)</td></tr><tr><td>33.5</td><td>3.49 (0.74)</td><td>10.86</td><td>3.79 (0.81)</td><td>1.83 (0.39)</td><td>32.25</td><td>5.89 (1.26)</td></tr><tr><td rowspan="2">72</td><td>5.0</td><td>22.45 (2.19)</td><td>2.32</td><td>5.21 (0.51)</td><td>22.30 (2.17)</td><td>5.99</td><td>13.35 (1.30)</td></tr><tr><td>33.5</td><td>3.67 (0.74)</td><td>10.86</td><td>3.98 (0.80)</td><td>2.26 (0.45)</td><td>33.27</td><td>7.52 (1.51)</td></tr><tr><td rowspan="2">73</td><td>4.0</td><td>347.82 (18.20)</td><td>2.19</td><td>76.23 (3.99)</td><td>327.93 (17.19)</td><td>6.38</td><td>209.31 (10.97)</td></tr><tr><td>20.5</td><td>0.18 (0.03)</td><td>4.87</td><td>0.09 (0.01)</td><td>0.19 (0.03)</td><td>6.65</td><td>0.13 (0.02)</td></tr><tr><td rowspan="2">74</td><td>5.5</td><td>37.44 (1.36)</td><td>2.30</td><td>8.62 (0.31)</td><td>37.32 (1.35)</td><td>5.42</td><td>20.24 (0.73)</td></tr><tr><td>34.0</td><td>3.83 (0.82)</td><td>12.91</td><td>4.95 (1.06)</td><td>2.32 (0.49)</td><td>33.27</td><td>7.73 (1.64)</td></tr><tr><td rowspan="2">75</td><td>4.0</td><td>497.35 (22.40)</td><td>2.19</td><td>109.00 (4.91)</td><td>435.85 (23.00)</td><td>6.38</td><td>278.19 (14.68)</td></tr><tr><td>7.5</td><td>6.21 (0.53)</td><td>2.78</td><td>1.73 (0.15)</td><td>8.53 (0.72)</td><td>4.86</td><td>4.14 (0.35)</td></tr><tr><td rowspan="2">76</td><td>5.0</td><td>118.43 (2.15)</td><td>2.32</td><td>27.50 (0.50)</td><td>117.53 (2.13)</td><td>5.99</td><td>70.38 (1.28)</td></tr><tr><td>16.5</td><td>0.88 (0.04)</td><td>4.89</td><td>0.43 (0.02)</td><td>0.88 (0.04)</td><td>6.57</td><td>0.58 (0.02)</td></tr><tr><td rowspan="2">77</td><td>6.0</td><td>61.18 (0.84)</td><td>2.47</td><td>15.13 (0.21)</td><td>60.92 (0.83)</td><td>5.08</td><td>30.92 (0.42)</td></tr><tr><td>33.0</td><td>13.62 (0.29)</td><td>8.49</td><td>11.56 (0.25)</td><td>8.98 (0.19)</td><td>32.25</td><td>28.95 (0.62)</td></tr><tr><td rowspan="2">78</td><td>5.0</td><td>90.91 (2.23)</td><td>2.32</td><td>21.11 (0.52)</td><td>90.25 (2.21)</td><td>5.99</td><td>54.05 (1.32)</td></tr><tr><td>20.0</td><td>0.63 (0.03)</td><td>4.95</td><td>0.31 (0.01)</td><td>0.63 (0.03)</td><td>6.65</td><td>0.42 (0.02)</td></tr><tr><td rowspan="2">79</td><td>4.0</td><td>458.46 (16.78)</td><td>2.19</td><td>100.48 (3.68)</td><td>429.65 (15.83)</td><td>6.38</td><td>274.24 (10.11)</td></tr><tr><td>17.0</td><td>0.40 (0.04)</td><td>4.85</td><td>0.19 (0.02)</td><td>0.42 (0.04)</td><td>6.57</td><td>0.28 (0.03)</td></tr><tr><td rowspan="2">80</td><td>4.0</td><td>369.33 (16.88)</td><td>2.19</td><td>80.94 (3.70)</td><td>347.66 (15.89)</td><td>6.38</td><td>221.90 (10.14)</td></tr><tr><td>17.0</td><td>0.39 (0.04)</td><td>4.85</td><td>0.19 (0.02)</td><td>0.39 (0.04)</td><td>6.61</td><td>0.26 (0.03)</td></tr><tr><td rowspan="2">81</td><td>4.5</td><td>98.72 (4.55)</td><td>2.29</td><td>22.56 (1.04)</td><td>97.03 (4.47)</td><td>5.91</td><td>57.33 (2.64)</td></tr><tr><td>19.5</td><td>0.24 (0.03)</td><td>4.92</td><td>0.12 (0.01)</td><td>0.24 (0.03)</td><td>6.49</td><td>0.16 (0.02)</td></tr><tr><td rowspan="2">82</td><td>4.5</td><td>98.89 (4.35)</td><td>2.29</td><td>22.60 (0.99)</td><td>97.16 (4.27)</td><td>5.91</td><td>57.41 (2.52)</td></tr><tr><td>17.5</td><td>0.38 (0.04)</td><td>4.93</td><td>0.19 (0.02)</td><td>0.38 (0.04)</td><td>6.58</td><td>0.25 (0.02)</td></tr><tr><td rowspan="2">83</td><td>4.0</td><td>375.89 (14.17)</td><td>2.19</td><td>82.38 (3.11)</td><td>354.34 (13.37)</td><td>6.38</td><td>226.17 (8.53)</td></tr><tr><td>17.5</td><td>0.37 (0.04)</td><td>4.93</td><td>0.18 (0.02)</td><td>0.37 (0.04)</td><td>6.58</td><td>0.25 (0.02)</td></tr><tr><td rowspan="2">84</td><td>6.0</td><td>3.25 (0.86)</td><td>2.47</td><td>0.80 (0.21)</td><td>3.23 (0.86)</td><td>5.08</td><td>1.64 (0.44)</td></tr><tr><td>33.5</td><td>3.51 (0.77)</td><td>10.86</td><td>3.81 (0.84)</td><td>2.17 (0.48)</td><td>33.27</td><td>7.20 (1.59)</td></tr><tr><td rowspan="2">85</td><td>6.5</td><td>4.50 (0.66)</td><td>2.59</td><td>1.17 (0.17)</td><td>4.47 (0.66)</td><td>4.83</td><td>2.16 (0.32)</td></tr><tr><td>33.5</td><td>3.56 (0.79)</td><td>10.86</td><td>3.87 (0.86)</td><td>2.21 (0.49)</td><td>33.27</td><td>7.34 (1.64)</td></tr><tr><td rowspan="2">86</td><td>4.0</td><td>267.80 (18.06)</td><td>2.19</td><td>58.69 (3.96)</td><td>252.09 (17.07)</td><td>6.38</td><td>160.90 (10.89)</td></tr><tr><td>20.0</td><td>0.21 (0.03)</td><td>4.95</td><td>0.10 (0.01)</td><td>0.22 (0.03)</td><td>6.49</td><td>0.14 (0.02)</td></tr><tr><td rowspan="2">87</td><td>4.0</td><td>430.00 (17.70)</td><td>2.19</td><td>94.24 (3.88)</td><td>405.22 (16.65)</td><td>6.38</td><td>258.64 (10.63)</td></tr><tr><td>15.0</td><td>0.53 (0.05)</td><td>4.73</td><td>0.25 (0.02)</td><td>0.53 (0.05)</td><td>6.43</td><td>0.34 (0.03)</td></tr><tr><td rowspan="2">88</td><td>4.0</td><td>459.12 (18.90)</td><td>2.19</td><td>100.62 (4.14)</td><td>418.44 (18.25)</td><td>6.38</td><td>267.08 (11.65)</td></tr><tr><td>8.5</td><td>3.94 (0.27)</td><td>3.15</td><td>1.24 (0.08)</td><td>4.96 (0.34)</td><td>4.88</td><td>2.42 (0.16)</td></tr><tr><td rowspan="2">89</td><td>5.0</td><td>106.52 (2.16)</td><td>2.32</td><td>24.74 (0.50)</td><td>105.72 (2.14)</td><td>5.99</td><td>63.31 (1.28)</td></tr><tr><td>17.0</td><td>0.88 (0.04)</td><td>4.85</td><td>0.43 (0.02)</td><td>0.88 (0.04)</td><td>6.61</td><td>0.58 (0.02)</td></tr><tr><td rowspan="2">90</td><td>5.0</td><td>138.57 (2.07)</td><td>2.32</td><td>32.18 (0.48)</td><td>137.51 (2.06)</td><td>5.99</td><td>82.35 (1.23)</td></tr><tr><td>19.5</td><td>1.25 (0.03)</td><td>4.92</td><td>0.61 (0.01)</td><td>1.25 (0.03)</td><td>6.49</td><td>0.81 (0.02)</td></tr><tr><td rowspan="2">91</td><td>5.0</td><td>122.11 (2.08)</td><td>2.32</td><td>28.36 (0.48)</td><td>121.21 (2.07)</td><td>5.99</td><td>72.59 (1.24)</td></tr><tr><td>21.0</td><td>1.06 (0.02)</td><td>4.87</td><td>0.52 (0.01)</td><td>1.06 (0.02)</td><td>6.55</td><td>0.69 (0.02)</td></tr><tr><td rowspan="2">92</td><td>4.5</td><td>185.61 (4.53)</td><td>2.29</td><td>42.41 (1.04)</td><td>182.45 (4.45)</td><td>5.91</td><td>107.80 (2.63)</td></tr><tr><td>19.0</td><td>0.62 (0.03)</td><td>4.91</td><td>0.30 (0.01)</td><td>0.62 (0.03)</td><td>6.66</td><td>0.41 (0.02)</td></tr><tr><td rowspan="2">93</td><td>4.0</td><td>486.57 (18.38)</td><td>2.19</td><td>106.64 (4.03)</td><td>453.92 (17.37)</td><td>6.38</td><td>289.73 (11.09)</td></tr><tr><td>13.5</td><td>0.86 (0.06)</td><td>4.49</td><td>0.39 (0.03)</td><td>0.95 (0.07)</td><td>6.22</td><td>0.59 (0.04)</td></tr><tr><td rowspan="2">94</td><td>4.0</td><td>394.19 (18.73)</td><td>2.19</td><td>86.39 (4.11)</td><td>359.27 (18.17)</td><td>6.38</td><td>229.32 (11.60)</td></tr><tr><td>8.5</td><td>3.83 (0.26)</td><td>3.15</td><td>1.21 (0.08)</td><td>4.80 (0.33)</td><td>4.88</td><td>2.34 (0.16)</td></tr><tr><td rowspan="2">95</td><td>4.0</td><td>442.31 (18.14)</td><td>2.19</td><td>96.94 (3.98)</td><td>381.08 (18.06)</td><td>6.38</td><td>243.24 (11.53)</td></tr></tbody></table>
<table><caption>**Table 5**
(Continued)</caption><thead><tr><th>Region</th><th>V<sub>s</sub><sup>a</sup><br>(km s<sup>-1</sup>)</th><th>Mass Flow (120 K)<sup>b</sup><br>(10<sup>2</sup> M<sub>☉</sub> yr<sup>-1</sup>)</th><th>t<sub>cool</sub>(120 K)<sup>c</sup><br>(10<sup>2</sup> yr)</th><th>M(120 K)(H<sub>2</sub>)<sup>d</sup><br>(10<sup>5</sup> M<sub>☉</sub>)</th><th>Mass Flow (50 K)<sup>b</sup><br>(10<sup>2</sup> M<sub>☉</sub> yr<sup>-1</sup>)</th><th>t<sub>cool</sub>(50 K)<sup>c</sup><br>(10<sup>2</sup> yr)</th><th>M(50 K)(H<sub>2</sub>)<sup>d</sup><br>(10<sup>5</sup> M<sub>☉</sub>)</th></tr></thead><tbody><tr><td></td><td>10.5</td><td>2.10 (0.13)</td><td>3.67</td><td>0.77 (0.05)</td><td>4.25 (0.26)</td><td>5.11</td><td>2.17 (0.13)</td></tr><tr><td rowspan="2">96</td><td>5.0</td><td>65.27 (2.19)</td><td>2.32</td><td>15.16 (0.51)</td><td>64.78 (2.17)</td><td>5.99</td><td>38.80 (1.30)</td></tr><tr><td>17.5</td><td>0.37 (0.04)</td><td>4.93</td><td>0.18 (0.02)</td><td>0.37 (0.04)</td><td>6.58</td><td>0.25 (0.02)</td></tr><tr><td rowspan="2">97</td><td>7.0</td><td>2.28 (0.54)</td><td>2.63</td><td>0.60 (0.14)</td><td>2.27 (0.53)</td><td>4.86</td><td>1.10 (0.26)</td></tr><tr><td>33.5</td><td>3.59 (0.82)</td><td>10.86</td><td>3.89 (0.90)</td><td>2.24 (0.51)</td><td>33.27</td><td>7.45 (1.71)</td></tr><tr><td rowspan="2">98</td><td>7.0</td><td>2.74 (0.50)</td><td>2.63</td><td>0.72 (0.13)</td><td>2.73 (0.50)</td><td>4.86</td><td>1.33 (0.24)</td></tr><tr><td>33.5</td><td>3.52 (0.83)</td><td>10.86</td><td>3.82 (0.90)</td><td>2.19 (0.51)</td><td>33.27</td><td>7.29 (1.71)</td></tr><tr><td rowspan="2">99</td><td>5.0</td><td>24.90 (2.22)</td><td>2.32</td><td>5.78 (0.52)</td><td>24.77 (2.20)</td><td>5.99</td><td>14.83 (1.32)</td></tr><tr><td>34.0</td><td>3.92 (0.78)</td><td>12.91</td><td>5.06 (1.00)</td><td>2.36 (0.47)</td><td>33.27</td><td>7.86 (1.56)</td></tr><tr><td rowspan="2">100</td><td>4.0</td><td>334.88 (18.18)</td><td>2.19</td><td>73.39 (3.98)</td><td>314.09 (17.11)</td><td>6.38</td><td>200.48 (10.92)</td></tr><tr><td>20.5</td><td>0.19 (0.03)</td><td>4.87</td><td>0.09 (0.01)</td><td>0.20 (0.03)</td><td>6.65</td><td>0.13 (0.02)</td></tr><tr><td rowspan="2">101</td><td>4.0</td><td>444.27 (18.12)</td><td>2.19</td><td>97.37 (3.97)</td><td>415.47 (17.08)</td><td>6.38</td><td>265.19 (10.90)</td></tr><tr><td>16.0</td><td>0.51 (0.04)</td><td>4.85</td><td>0.25 (0.02)</td><td>0.55 (0.05)</td><td>6.53</td><td>0.36 (0.03)</td></tr><tr><td rowspan="2">102</td><td>4.5</td><td>213.54 (4.56)</td><td>2.29</td><td>48.80 (1.04)</td><td>209.83 (4.48)</td><td>5.91</td><td>123.98 (2.65)</td></tr><tr><td>18.5</td><td>0.76 (0.03)</td><td>4.93</td><td>0.38 (0.02)</td><td>0.76 (0.03)</td><td>6.59</td><td>0.50 (0.02)</td></tr><tr><td rowspan="2">103</td><td>5.0</td><td>147.03 (2.13)</td><td>2.32</td><td>34.14 (0.50)</td><td>145.90 (2.12)</td><td>5.99</td><td>87.37 (1.27)</td></tr><tr><td>19.5</td><td>1.20 (0.03)</td><td>4.92</td><td>0.59 (0.01)</td><td>1.21 (0.03)</td><td>6.49</td><td>0.78 (0.02)</td></tr><tr><td rowspan="2">104</td><td>5.0</td><td>145.44 (2.12)</td><td>2.32</td><td>33.77 (0.49)</td><td>144.35 (2.11)</td><td>5.99</td><td>86.44 (1.26)</td></tr><tr><td>21.0</td><td>1.32 (0.03)</td><td>4.87</td><td>0.64 (0.01)</td><td>1.32 (0.03)</td><td>6.55</td><td>0.86 (0.02)</td></tr><tr><td rowspan="2">105</td><td>5.0</td><td>115.50 (2.06)</td><td>2.32</td><td>26.82 (0.48)</td><td>114.64 (2.04)</td><td>5.99</td><td>68.65 (1.22)</td></tr><tr><td>22.0</td><td>0.72 (0.02)</td><td>4.81</td><td>0.35 (0.01)</td><td>0.72 (0.02)</td><td>6.59</td><td>0.47 (0.02)</td></tr><tr><td rowspan="2">106</td><td>4.0</td><td>727.72 (18.00)</td><td>2.19</td><td>159.49 (3.95)</td><td>687.10 (17.00)</td><td>6.38</td><td>438.57 (10.85)</td></tr><tr><td>16.5</td><td>0.76 (0.04)</td><td>4.89</td><td>0.37 (0.02)</td><td>0.75 (0.04)</td><td>6.57</td><td>0.49 (0.03)</td></tr><tr><td rowspan="2">107</td><td>4.0</td><td>610.22 (18.53)</td><td>2.19</td><td>133.74 (4.06)</td><td>572.02 (17.57)</td><td>6.38</td><td>365.11 (11.21)</td></tr><tr><td>14.0</td><td>0.98 (0.06)</td><td>4.64</td><td>0.45 (0.03)</td><td>1.07 (0.06)</td><td>6.33</td><td>0.68 (0.04)</td></tr><tr><td rowspan="2">108</td><td>4.0</td><td>691.00 (16.59)</td><td>2.19</td><td>151.44 (3.64)</td><td>652.24 (15.65)</td><td>6.38</td><td>416.31 (9.99)</td></tr><tr><td>16.0</td><td>0.89 (0.04)</td><td>4.85</td><td>0.43 (0.02)</td><td>0.89 (0.04)</td><td>6.59</td><td>0.58 (0.03)</td></tr><tr><td rowspan="2">109</td><td>5.0</td><td>115.93 (2.45)</td><td>2.32</td><td>26.92 (0.57)</td><td>114.65 (2.43)</td><td>5.99</td><td>68.65 (1.46)</td></tr><tr><td>20.5</td><td>0.50 (0.03)</td><td>4.87</td><td>0.24 (0.01)</td><td>0.53 (0.03)</td><td>6.65</td><td>0.35 (0.02)</td></tr><tr><td rowspan="2">110</td><td>5.5</td><td>8.17 (1.46)</td><td>2.30</td><td>1.88 (0.34)</td><td>94.45 (18.62)</td><td>6.38</td><td>60.29 (11.88)</td></tr><tr><td>33.5</td><td>3.53 (0.76)</td><td>10.86</td><td>3.83 (0.83)</td><td>2.41 (0.44)</td><td>32.09</td><td>7.72 (1.40)</td></tr><tr><td rowspan="2">111</td><td>6.5</td><td>4.49 (0.69)</td><td>2.59</td><td>1.16(0.18)</td><td>4.46 (0.69)</td><td>4.83</td><td>2.16 (0.33)</td></tr><tr><td>33.5</td><td>3.54 (0.79)</td><td>10.86</td><td>3.84 (0.86)</td><td>2.20 (0.49)</td><td>33.27</td><td>7.30 (1.64)</td></tr><tr><td rowspan="2">112</td><td>6.0</td><td>6.52 (1.04)</td><td>2.47</td><td>1.61 (0.26)</td><td>6.48 (1.04)</td><td>5.08</td><td>3.29 (0.53)</td></tr><tr><td>33.5</td><td>3.71 (0.78)</td><td>10.86</td><td>4.03 (0.85)</td><td>2.30 (0.48)</td><td>33.27</td><td>7.66 (1.61)</td></tr><tr><td rowspan="2">113</td><td>4.0</td><td>203.21 (14.30)</td><td>2.19</td><td>44.54 (3.13)</td><td>192.25 (13.52)</td><td>6.38</td><td>122.71 (8.63)</td></tr><tr><td>18.0</td><td>0.32 (0.03)</td><td>4.90</td><td>0.16 (0.02)</td><td>0.32 (0.03)</td><td>6.64</td><td>0.21 (0.02)</td></tr><tr><td rowspan="2">114</td><td>4.0</td><td>320.08 (18.07)</td><td>2.19</td><td>70.15 (3.96)</td><td>301.49 (16.99)</td><td>6.38</td><td>192.43 (10.84)</td></tr><tr><td>17.5</td><td>0.38 (0.04)</td><td>4.93</td><td>0.19 (0.02)</td><td>0.38 (0.04)</td><td>6.58</td><td>0.25 (0.02)</td></tr><tr><td rowspan="2">115</td><td>4.5</td><td>179.43 (4.91)</td><td>2.29</td><td>41.00 (1.12)</td><td>176.33 (4.82)</td><td>5.91</td><td>104.19 (2.85)</td></tr><tr><td>19.5</td><td>0.63 (0.03)</td><td>4.92</td><td>0.31 (0.01)</td><td>0.63 (0.03)</td><td>6.49</td><td>0.41 (0.02)</td></tr><tr><td rowspan="2">116</td><td>5.0</td><td>142.68 (2.29)</td><td>2.32</td><td>33.13 (0.53)</td><td>141.61 (2.27)</td><td>5.99</td><td>84.80 (1.36)</td></tr><tr><td>20.5</td><td>1.32 (0.03)</td><td>4.87</td><td>0.64 (0.01)</td><td>1.32 (0.03)</td><td>6.63</td><td>0.87 (0.02)</td></tr><tr><td rowspan="2">117</td><td>5.0</td><td>149.61 (2.11)</td><td>2.32</td><td>34.74 (0.49)</td><td>148.48 (2.10)</td><td>5.99</td><td>88.91 (1.25)</td></tr><tr><td>20.0</td><td>1.51 (0.03)</td><td>4.95</td><td>0.75 (0.01)</td><td>1.51 (0.03)</td><td>6.65</td><td>1.01 (0.02)</td></tr><tr><td rowspan="2">118</td><td>4.5</td><td>264.16 (4.47)</td><td>2.29</td><td>60.36 (1.02)</td><td>259.57 (4.39)</td><td>5.91</td><td>153.37 (2.59)</td></tr><tr><td>20.0</td><td>1.15 (0.03)</td><td>4.95</td><td>0.57 (0.01)</td><td>1.15 (0.03)</td><td>6.65</td><td>0.76 (0.02)</td></tr><tr><td rowspan="2">119</td><td>4.5</td><td>238.58 (4.83)</td><td>2.29</td><td>54.52 (1.10)</td><td>234.54 (4.75)</td><td>5.91</td><td>138.58 (2.81)</td></tr><tr><td>19.5</td><td>0.83 (0.03)</td><td>4.92</td><td>0.41 (0.01)</td><td>0.83 (0.03)</td><td>6.49</td><td>0.54 (0.02)</td></tr><tr><td rowspan="2">120</td><td>4.5</td><td>253.80 (4.60)</td><td>2.29</td><td>58.00 (1.05)</td><td>249.48 (4.52)</td><td>5.91</td><td>147.41 (2.67)</td></tr><tr><td>18.0</td><td>1.03 (0.03)</td><td>4.90</td><td>0.51 (0.02)</td><td>1.03 (0.03)</td><td>6.64</td><td>0.69 (0.02)</td></tr><tr><td rowspan="2">121</td><td>5.0</td><td>124.78 (2.15)</td><td>2.32</td><td>28.98 (0.50)</td><td>123.32 (2.14)</td><td>5.99</td><td>73.85 (1.28)</td></tr><tr><td>20.0</td><td>0.73 (0.03)</td><td>4.95</td><td>0.36 (0.01)</td><td>0.77 (0.03)</td><td>6.49</td><td>0.50 (0.02)</td></tr><tr><td rowspan="2">122</td><td>5.0</td><td>129.12 (1.99)</td><td>2.32</td><td>29.98 (0.46)</td><td>128.16 (1.97)</td><td>5.99</td><td>76.74 (1.18)</td></tr><tr><td>21.0</td><td>0.61 (0.02)</td><td>4.87</td><td>0.30 (0.01)</td><td>0.61 (0.02)</td><td>6.55</td><td>0.40 (0.02)</td></tr><tr><td rowspan="2">123</td><td>4.0</td><td>67.58 (13.12)</td><td>2.19</td><td>14.81 (2.88)</td><td>68.21 (12.28)</td><td>6.38</td><td>43.54 (7.84)</td></tr><tr><td>25.5</td><td>2.98 (0.54)</td><td>0.63</td><td>0.19 (0.03)</td><td>2.37 (0.43)</td><td>32.78</td><td>7.78 (1.42)</td></tr><tr><td rowspan="2">124</td><td>5.5</td><td>8.03 (1.65)</td><td>2.30</td><td>1.85 (0.38)</td><td>7.99 (1.65)</td><td>5.42</td><td>4.33 (0.89)</td></tr><tr><td>33.5</td><td>3.53 (0.76)</td><td>10.86</td><td>3.83 (0.83)</td><td>2.18 (0.47)</td><td>33.27</td><td>7.24 (1.57)</td></tr><tr><td rowspan="2">125</td><td>6.0</td><td>5.46 (0.86)</td><td>2.47</td><td>1.35 (0.21)</td><td>5.43 (0.86)</td><td>5.08</td><td>2.76 (0.44)</td></tr><tr><td>33.5</td><td>3.60 (0.78)</td><td>10.86</td><td>3.90 (0.84)</td><td>2.22 (0.48)</td><td>33.27</td><td>7.38 (1.60)</td></tr><tr><td rowspan="2">126</td><td>4.0</td><td>162.78 (13.87)</td><td>2.19</td><td>35.68 (3.04)</td><td>153.84 (13.09)</td><td>6.38</td><td>98.19 (8.36)</td></tr><tr><td>21.5</td><td>0.16 (0.02)</td><td>4.87</td><td>0.08 (0.01)</td><td>0.15 (0.02)</td><td>6.57</td><td>0.10 (0.02)</td></tr></tbody></table>