Table 8: Constraints for the isobaric cooling flow model. The lower limit, best-fit value and upper limit are given for both $T_{\min}$ (in keV) and $T_{\min}/T_{\max}$ . Only shells with a cooling time less than 30 Gyr (as determined from the single temperature fits) are listed. No entries are listed whenever the data cannot constrain the ratio $T_{\min}/T_{\max}$ (i.e., any value between 0-1 is statistically allowed). The # indicates the shell number.
# $T_{\min}$ $T_{\min}/T_{\max}$ $T_{\min}$ $T_{\min}/T_{\max}$ $T_{\min}$ $T_{\min}/T_{\max}$

low best upp low best upp low best upp low best upp low best upp low best upp

NGC 533 Virgo A 262

1 0.2 0.7 1.3 0.21 0.94 1 0.5 0.6 1.3 0.23 0.32 0.92

2 <0.1 0.6 2.1 0 0.45 1 0.8 1.5 1.6 0.31 0.45 0.78 0.7 1.1 1.5 0.32 0.47 0.86

3 0.4 0.7 1.8 0.15 0.25 1 0.8 1.4 1.6 0.33 0.46 0.72 0.6 1.4 4.0 0.20 0.46 1

4 0.4 0.6 2.7 0.18 0.29 1 0.9 1.5 1.9 0.32 0.47 0.86 1.0 2.0 4.3 0.30 0.48 1

5 0.4 0.7 2.9 0.20 0.31 1 1.0 1.7 2.0 0.32 0.47 0.90 <0.1 1.4 6.5 0 0.33 1

6 0.7 1.6 4.4 0.22 0.44 1 0.9 1.6 4.5 0.27 0.48 1

7 0.8 1.3 4.9 0.22 0.34 1

8 0.8 1.1 5.7 0.20 0.27 1

A 1837 Sérsic 159-3 MKW 9

1 1.1 1.5 5.9 0.25 0.31 1 1.1 1.1 2.3 0.31 0.33 0.91 <0.1 1.1 2.7 0 0.44 1

2 <0.1 1.8 3.3 0 0.16 0.29 1.0 2.5 2.8 0.25 0.80 1 0.8 1.6 3.2 0.32 0.94 1

3 0.9 2.6 4.8 0.24 0.94 1 0.3 1.2 4.7 0.08 0.31 1

4 0.9 2.6 5.1 0.25 0.93 1

2A 0335+096 MKW 3s A 2052

1 0.6 0.7 0.7 0.26 0.28 0.30 1.3 1.6 5.9 0.28 0.35 1 0.5 0.6 1.1 0.17 0.21 0.26

2 0.9 0.9 1.0 0.29 0.30 0.31 0.6 1.3 4.8 0.09 0.19 1 1.1 1.2 1.4 0.26 0.29 0.32

3 1.0 1.1 1.3 0.25 0.28 0.31 1.5 2.5 6.5 0.30 0.56 1

4 0.7 1.5 5.2 0.09 0.21 1

A 4059 Hydra A (A 780) A 496

1 0.7 1.0 4.6 0.21 0.27 1 <0.1 2.9 6.8 0 0.72 1 0.9 1.0 2.3 0.27 0.29 0.93

2 1.4 3.7 6.3 0.28 0.91 1 0.7 2.5 4.8 0.20 0.94 1

3 <0.1 1.4 7.9 0 0.24 1 <0.1 2.6 8.4 0 0.29 1

4 1.2 2.8 6.7 0.25 0.47 1 0.9 1.9 7.6 0.18 0.30 1

5 0.4 1.9 9.2 0.05 0.27 1

A 3112 A 1795 A 399

1 1.4 2.9 5.7 0.31 0.88 1 <0.1 3.9 9.2 0 0.72 1 0.6 2.6 4.8 0.17 1 1

2 <0.1 1.0 2.1 0 0.09 0.19 1.8 2.1 8.2 0.28 0.31 1

3 <0.1 1.6 2.1 0 0.16 0.19 1.0 2.0 3.1 0.09 0.16 0.24

Perseus (A 426) A 1835

1 1.5 2.6 11.6 0.18 0.27 1

2 1.0 1.8 4.9 0.15 0.29 1 3.3 7.8 14.8 0.26 0.93 1

3 1.2 1.4 4.0 0.22 0.24 1

4 <0.1 2.0 4.7 0 0.25 1

5 1.5 2.1 5.6 0.19 0.25 1

6 0.5 2.6 12.2 0.06 0.26 1

**Table 8:** Constraints for the isobaric cooling flow model. The lower limit, best-fit value and upper limit are given for both $T_{\min}$ (in keV) and $T_{\min}/T_{\max}$ . Only shells with a cooling time less than 30 Gyr (as determined from the single temperature fits) are listed. No entries are listed whenever the data cannot constrain the ratio $T_{\min}/T_{\max}$ (i.e., any value between 0-1 is statistically allowed). The # indicates the shell number.
#	$T_{\min}$	$T_{\min}/T_{\max}$	$T_{\min}$	$T_{\min}/T_{\max}$	$T_{\min}$	$T_{\min}/T_{\max}$
	low	best	upp	low	best	upp	low	best	upp	low	best	upp	low	best	upp	low	best	upp
NGC 533	Virgo	A 262
1	0.2	0.7	1.3	0.21	0.94	1							0.5	0.6	1.3	0.23	0.32	0.92
2	<0.1	0.6	2.1	0	0.45	1	0.8	1.5	1.6	0.31	0.45	0.78	0.7	1.1	1.5	0.32	0.47	0.86
3	0.4	0.7	1.8	0.15	0.25	1	0.8	1.4	1.6	0.33	0.46	0.72	0.6	1.4	4.0	0.20	0.46	1
4	0.4	0.6	2.7	0.18	0.29	1	0.9	1.5	1.9	0.32	0.47	0.86	1.0	2.0	4.3	0.30	0.48	1
5	0.4	0.7	2.9	0.20	0.31	1	1.0	1.7	2.0	0.32	0.47	0.90	<0.1	1.4	6.5	0	0.33	1
6							0.7	1.6	4.4	0.22	0.44	1	0.9	1.6	4.5	0.27	0.48	1
7							0.8	1.3	4.9	0.22	0.34	1
8							0.8	1.1	5.7	0.20	0.27	1
A 1837	Sérsic 159-3	MKW 9
1	1.1	1.5	5.9	0.25	0.31	1	1.1	1.1	2.3	0.31	0.33	0.91	<0.1	1.1	2.7	0	0.44	1
2	<0.1	1.8	3.3	0	0.16	0.29	1.0	2.5	2.8	0.25	0.80	1	0.8	1.6	3.2	0.32	0.94	1
3							0.9	2.6	4.8	0.24	0.94	1	0.3	1.2	4.7	0.08	0.31	1
4							0.9	2.6	5.1	0.25	0.93	1
2A 0335+096	MKW 3s	A 2052
1	0.6	0.7	0.7	0.26	0.28	0.30	1.3	1.6	5.9	0.28	0.35	1	0.5	0.6	1.1	0.17	0.21	0.26
2	0.9	0.9	1.0	0.29	0.30	0.31	0.6	1.3	4.8	0.09	0.19	1	1.1	1.2	1.4	0.26	0.29	0.32
3	1.0	1.1	1.3	0.25	0.28	0.31	1.5	2.5	6.5	0.30	0.56	1
4							0.7	1.5	5.2	0.09	0.21	1
A 4059	Hydra A (A 780)	A 496
1	0.7	1.0	4.6	0.21	0.27	1	<0.1	2.9	6.8	0	0.72	1	0.9	1.0	2.3	0.27	0.29	0.93
2							1.4	3.7	6.3	0.28	0.91	1	0.7	2.5	4.8	0.20	0.94	1
3							<0.1	1.4	7.9	0	0.24	1	<0.1	2.6	8.4	0	0.29	1
4							1.2	2.8	6.7	0.25	0.47	1	0.9	1.9	7.6	0.18	0.30	1
5													0.4	1.9	9.2	0.05	0.27	1
A 3112	A 1795	A 399
1	1.4	2.9	5.7	0.31	0.88	1	<0.1	3.9	9.2	0	0.72	1	0.6	2.6	4.8	0.17	1	1
2	<0.1	1.0	2.1	0	0.09	0.19	1.8	2.1	8.2	0.28	0.31	1
3	<0.1	1.6	2.1	0	0.16	0.19	1.0	2.0	3.1	0.09	0.16	0.24
Perseus (A 426)	A 1835
1							1.5	2.6	11.6	0.18	0.27	1
2	1.0	1.8	4.9	0.15	0.29	1	3.3	7.8	14.8	0.26	0.93	1
3	1.2	1.4	4.0	0.22	0.24	1
4	<0.1	2.0	4.7	0	0.25	1
5	1.5	2.1	5.6	0.19	0.25	1
6	0.5	2.6	12.2	0.06	0.26	1

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