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Table A.1.
ΛCDM fits.
Name | β | M/L | d | logρs | log rs | c | log rvir | log Mvir | log M* | ![]() |
![]() |
χ2 | conf. | AICc | LBF |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
(M⊙/L⊙) | (kpc) | (M⊙ kpc−3) | (kpc) | (kpc) | (M⊙) | (M⊙) | (%) | (%) | (%) | ||||||
N 821 | iso | 5 ± 1 | 24 ± 2 | 6.3 ± 0.5 | 1.8 ± 0.3 | 8.5 | 2.7 | 12.9 | 11.1 | 21 | 71 | 70 | 81 | –51 | 10.7 |
neg | 5 ± 1 | 24 ± 2 | 6.3 ± 0.5 | 1.8 ± 0.3 | 8.6 | 2.7 | 12.9 | 11.1 | 21 | 70 | 71 | 74 | –50 | 10.6 | |
lit | 4 ± 1 | 24 ± 2 | 6.3 ± 0.3 | 1.8 ± 0.3 | 8.5 | 2.7 | 12.9 | 11.1 | 21 | 71 | 68 | 89 | –51 | 10.8 | |
N 1023 | iso | 3.5 ± 0.7 | 11.0 ± 0.8 | 6.2 ± 0.5 | 1.5 ± 0.3 | 8.0 | 2.4 | 12.1 | 11.0 | 5.2 | 33 | 99 | 37 | –110 | 22.8 |
neg | 3.4 ± 0.7 | 11.0 ± 0.8 | 6.2 ± 0.5 | 1.5 ± 0.3 | 7.9 | 2.4 | 12.1 | 11.0 | 5.1 | 33 | 98 | 35 | –100 | 22.7 | |
lit | 3.5 ± 0.7 | 11.0 ± 0.8 | 6.2 ± 0.4 | 1.5 ± 0.3 | 8.1 | 2.4 | 12.1 | 11.0 | 5.2 | 33 | 99 | 39 | –110 | 22.8 | |
N 1399 | iso | 5 ± 1 | 20 ± 1 | 5.4 ± 0.2 | 2.9 ± 0.2 | 3.6 | 3.5 | 15.1 | 11.3 | 15 | 69 | 784 | 90 | 440 | –96.5 |
neg | 6 ± 1 | 20 ± 1 | 5.6 ± 0.2 | 2.8 ± 0.2 | 4.1 | 3.4 | 14.9 | 11.4 | 14 | 68 | 786 | 95 | 430 | –95.0 | |
lit | 5 ± 1 | 19 ± 1 | 5.3 ± 0.2 | 3.0 ± 0.2 | 3.2 | 3.5 | 15.3 | 11.3 | 15 | 71 | 784 | 89 | 460 | –101 | |
N 1400 | iso | 5 ± 1 | 25 ± 3 | 6.2 ± 0.4 | 1.8 ± 0.3 | 7.6 | 2.7 | 12.8 | 11.0 | 13 | 60 | 65 | 87 | –76 | 16.4 |
neg | 5 ± 1 | 25 ± 3 | 6.2 ± 0.4 | 1.8 ± 0.3 | 7.8 | 2.7 | 12.7 | 11.0 | 13 | 58 | 65 | 89 | –76 | 16.5 | |
lit | 4 ± 1 | 25 ± 3 | 6.1 ± 0.3 | 1.9 ± 0.3 | 7.2 | 2.7 | 13.0 | 11.0 | 14 | 61 | 64 | 82 | –75 | 16.3 | |
N 1407 | iso | 4 ± 1 | 26 ± 2 | 5.5 ± 0.3 | 2.6 ± 0.1 | 4.0 | 3.2 | 14.3 | 11.5 | 28 | 84 | 369 | 90 | 16 | –4.76 |
neg | 5 ± 1 | 26 ± 3 | 5.7 ± 0.4 | 2.4 ± 0.3 | 4.8 | 3.1 | 14.1 | 11.5 | 28 | 83 | 371 | 95 | 13 | –3.92 | |
lit | 4.1 ± 0.9 | 25 ± 3 | 5.4 ± 0.2 | 2.7 ± 0.2 | 3.3 | 3.2 | 14.5 | 11.5 | 29 | 84 | 368 | 86 | 23 | –6.47 | |
N 2768 | iso | 5 ± 1 | 22 ± 2 | 6.2 ± 0.5 | 1.9 ± 0.4 | 7.5 | 2.7 | 13.0 | 11.4 | 32 | 77 | 109 | 83 | –83 | 17.8 |
neg | 6 ± 2 | 22 ± 2 | 6.2 ± 0.5 | 1.8 ± 0.3 | 8.0 | 2.7 | 12.7 | 11.4 | 28 | 72 | 112 | 69 | –82 | 17.6 | |
lit | 5 ± 1 | 22 ± 2 | 6.1 ± 0.5 | 1.9 ± 0.3 | 7.1 | 2.8 | 13.1 | 11.3 | 35 | 81 | 107 | 93 | –84 | 18.1 | |
N 3115 | iso | 6 ± 1 | 9.7 ± 0.4 | 6.2 ± 0.4 | 1.9 ± 0.3 | 7.9 | 2.8 | 13.2 | 11.0 | 31 | 81 | 152 | 85 | –110 | 22.5 |
neg | 6 ± 1 | 9.7 ± 0.4 | 6.2 ± 0.4 | 1.9 ± 0.3 | 8.0 | 2.8 | 13.1 | 11.0 | 29 | 79 | 153 | 79 | –110 | 22.4 | |
lit | 6 ± 1 | 9.7 ± 0.4 | 6.2 ± 0.3 | 1.9 ± 0.3 | 8.0 | 2.8 | 13.2 | 11.0 | 32 | 82 | 151 | 88 | –110 | 22.5 | |
N 3377 | iso | 4.5 ± 0.9 | 11.2 ± 0.4 | 6.5 ± 0.4 | 1.5 ± 0.2 | 10 | 2.5 | 12.1 | 10.6 | 20 | 69 | 125 | 81 | –210 | 46.1 |
neg | 5 ± 1 | 11.2 ± 0.4 | 6.4 ± 0.4 | 1.48 ± 0.07 | 9.5 | 2.5 | 12.1 | 10.6 | 18 | 66 | 126 | 76 | –210 | 45.8 | |
lit | 4.3 ± 0.9 | 11.2 ± 0.4 | 6.5 ± 0.4 | 1.5 ± 0.2 | 10 | 2.5 | 12.1 | 10.5 | 22 | 70 | 123 | 87 | –220 | 46.2 | |
N 4278 | iso | 7 ± 1 | 16 ± 1 | 6.3 ± 0.4 | 2.0 ± 0.3 | 8.3 | 2.9 | 13.4 | 11.1 | 11 | 59 | 273 | 81 | –150 | 31.1 |
neg | 8 ± 1 | 16 ± 1 | 6.3 ± 0.4 | 1.9 ± 0.3 | 8.3 | 2.8 | 13.3 | 11.1 | 9.5 | 54 | 277 | 68 | –150 | 30.8 | |
lit | 6 ± 1 | 16 ± 1 | 6.2 ± 0.3 | 2.0 ± 0.3 | 7.7 | 2.9 | 13.5 | 11.0 | 13 | 63 | 270 | 94 | –150 | 31.1 | |
N 4365 | iso | 7 ± 2 | 20 ± 1 | 5.6 ± 0.2 | 2.7 ± 0.3 | 4.4 | 3.3 | 14.7 | 11.5 | 40 | 89 | 246 | 88 | 15 | –4.14 |
neg | 9 ± 2 | 20 ± 1 | 5.6 ± 0.3 | 2.6 ± 0.3 | 4.3 | 3.3 | 14.6 | 11.6 | 32 | 85 | 252 | 67 | 18 | –4.80 | |
lit | 6 ± 1 | 20 ± 1 | 5.6 ± 0.2 | 2.7 ± 0.3 | 4.2 | 3.4 | 14.8 | 11.4 | 45 | 91 | 242 | 97 | 14 | –4.02 | |
N 4472 | iso | 5 ± 1 | 16.1 ± 0.7 | 5.7 ± 0.2 | 2.9 ± 0.2 | 4.9 | 3.6 | 15.4 | 11.6 | 19 | 72 | 259 | 92 | 180 | –39.5 |
neg | 5 ± 1 | 16.2 ± 0.7 | 5.7 ± 0.2 | 2.8 ± 0.3 | 4.8 | 3.5 | 15.3 | 11.6 | 17 | 70 | 260 | 95 | 170 | –38.2 | |
lit | 5 ± 1 | 16.1 ± 0.7 | 5.8 ± 0.2 | 2.9 ± 0.2 | 5.0 | 3.6 | 15.5 | 11.6 | 21 | 75 | 259 | 91 | 190 | –41.7 | |
N 4486 | iso | 5 ± 1 | 16 ± 1 | 7.0 ± 0.1 | 1.8 ± 0.1 | 16 | 3.0 | 13.8 | 11.5 | 50 | 88 | 649 | 66 | 540 | –121 |
neg | 5 ± 1 | 16 ± 1 | 7.2 ± 0.2 | 1.71 ± 0.04 | 19 | 3.0 | 13.7 | 11.5 | 51 | 88 | 653 | 58 | 540 | –121 | |
lit | 5 ± 1 | 16 ± 1 | 6.79 ± 0.08 | 1.9 ± 0.1 | 13 | 3.1 | 13.9 | 11.5 | 47 | 88 | 643 | 77 | 540 | –121 | |
N 4494 | iso | 2.3 ± 0.5 | 16.7 ± 0.8 | 6.1 ± 0.3 | 1.6 ± 0.3 | 7.1 | 2.4 | 12.0 | 10.8 | 13 | 54 | 92 | 39 | –180 | 38.5 |
neg | 2.3 ± 0.5 | 16.7 ± 0.8 | 6.1 ± 0.4 | 1.6 ± 0.2 | 7.1 | 2.4 | 12.0 | 10.8 | 13 | 53 | 91 | 37 | –180 | 38.4 | |
lit | 2.3 ± 0.5 | 16.7 ± 0.8 | 6.1 ± 0.4 | 1.6 ± 0.2 | 7.0 | 2.4 | 12.1 | 10.8 | 13 | 55 | 93 | 42 | –180 | 38.4 | |
N 4526 | iso | 4 ± 1 | 16 ± 1 | 6.1 ± 0.4 | 1.9 ± 0.3 | 6.9 | 2.7 | 12.9 | 11.0 | 7.6 | 46 | 101 | 75 | –53 | 11.3 |
neg | 4 ± 1 | 16 ± 1 | 6.1 ± 0.4 | 1.9 ± 0.3 | 6.9 | 2.7 | 12.9 | 11.1 | 7.6 | 46 | 101 | 75 | –53 | 11.3 | |
lit | 4 ± 1 | 16 ± 1 | 6.1 ± 0.4 | 1.9 ± 0.3 | 7.1 | 2.7 | 12.9 | 11.0 | 7.6 | 45 | 102 | 77 | –52 | 11.2 | |
N 4649 | iso | 5 ± 1 | 17 ± 1 | 5.7 ± 0.3 | 2.5 ± 0.4 | 4.6 | 3.2 | 14.3 | 11.5 | 16 | 69 | 422 | 99 | 41 | –9.98 |
neg | 6 ± 1 | 16.6 ± 0.6 | 5.7 ± 0.4 | 2.5 ± 0.4 | 4.7 | 3.2 | 14.2 | 11.6 | 14 | 64 | 424 | 93 | 41 | –9.98 | |
lit | 4.7 ± 0.9 | 16.4 ± 0.8 | 5.6 ± 0.3 | 2.6 ± 0.3 | 4.4 | 3.3 | 14.5 | 11.4 | 20 | 73 | 422 | 99 | 43 | –10.5 | |
N 5128 | iso | 2.9 ± 0.5 | 4.2 ± 0.2 | 5.7 ± 0.2 | 2.4 ± 0.2 | 4.5 | 3.1 | 14.0 | 11.0 | 43 | 89 | 517 | 71 | –410 | 87.8 |
neg | 3.0 ± 0.5 | 4.2 ± 0.2 | 5.8 ± 0.3 | 2.4 ± 0.2 | 5.0 | 3.0 | 13.9 | 11.0 | 42 | 89 | 518 | 74 | –420 | 89.4 | |
lit | 2.8 ± 0.5 | 4.2 ± 0.2 | 5.6 ± 0.2 | 2.5 ± 0.2 | 4.1 | 3.2 | 14.2 | 11.0 | 43 | 90 | 516 | 68 | –400 | 85.6 | |
N 5846 | iso | 5 ± 1 | 24 ± 2 | 5.7 ± 0.3 | 2.5 ± 0.3 | 4.9 | 3.2 | 14.2 | 11.3 | 40 | 88 | 201 | 90 | 18 | –4.68 |
neg | 6 ± 1 | 24 ± 2 | 5.9 ± 0.4 | 2.3 ± 0.3 | 5.8 | 3.1 | 14.0 | 11.4 | 40 | 87 | 204 | 99 | 17 | –4.30 | |
lit | 5 ± 1 | 24 ± 2 | 5.7 ± 0.3 | 2.5 ± 0.3 | 4.5 | 3.2 | 14.3 | 11.3 | 40 | 88 | 200 | 84 | 22 | –5.59 | |
R17x | iso | 3.8 ± 0.5 | 18 ± 2 | 6.1 ± 0.4 | 1.5 ± 0.3 | 7.3 | 2.4 | 11.9 | 10.8 | 2.6 | 19 | 192 | 73 | –270 | 57.5 |
neg | 3.7 ± 0.4 | 18 ± 2 | 6.1 ± 0.4 | 1.6 ± 0.3 | 7.0 | 2.4 | 11.9 | 10.7 | 2.6 | 19 | 191 | 69 | –270 | 57.6 | |
lit | 4.0 ± 0.5 | 18 ± 2 | 6.2 ± 0.4 | 1.5 ± 0.3 | 7.5 | 2.4 | 12.0 | 10.8 | 2.7 | 20 | 193 | 76 | –270 | 57.6 | |
R17y | iso | 3.9 ± 0.5 | 18 ± 2 | 6.1 ± 0.4 | 1.6 ± 0.2 | 7.3 | 2.4 | 12.1 | 10.8 | 3.7 | 24 | 191 | 72 | –250 | 55.0 |
neg | 3.9 ± 0.5 | 18 ± 2 | 6.1 ± 0.4 | 1.6 ± 0.2 | 7.0 | 2.4 | 12.0 | 10.8 | 3.4 | 22 | 191 | 71 | –250 | 53.9 | |
lit | 3.9 ± 0.5 | 18 ± 2 | 6.2 ± 0.4 | 1.6 ± 0.2 | 7.6 | 2.5 | 12.1 | 10.8 | 4.1 | 26 | 191 | 73 | –260 | 55.4 | |
R17z | iso | 3.7 ± 0.5 | 18 ± 2 | 6.3 ± 0.4 | 1.5 ± 0.2 | 8.2 | 2.4 | 11.9 | 10.7 | 4.9 | 28 | 191 | 69 | –280 | 59.8 |
neg | 3.7 ± 0.5 | 18 ± 2 | 6.2 ± 0.4 | 1.5 ± 0.3 | 7.8 | 2.4 | 11.9 | 10.7 | 4.4 | 26 | 190 | 67 | –280 | 59.5 | |
lit | 3.7 ± 0.5 | 18 ± 2 | 6.3 ± 0.4 | 1.5 ± 0.2 | 8.5 | 2.4 | 12.0 | 10.7 | 5.5 | 31 | 192 | 72 | –280 | 59.9 |
Notes. β – Assumed anisotropy parameter; see Sect. 4 for explanation. M/L, d, ρs, rs, c, rvir, Mvir, M* – Best-fit parameters of the ΛCDM model; see Sect. 4. ,
– Average dark matter fractions below 1 and 5Re, respectively. χ2, conf., AICc, LBF – Statistical measures of the quality of the best fit; see Sect. 5.
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