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Table 6:

Proper motions constraints of SDSS L dwarfs that were also found in UKIDSS DR4.
SDSS Name Proper motiona Proper motion Proper motionb Proper motion Proper motionc Proper motion Proper motiond Proper motion
  ( $^{\prime\prime}$yr-1) Anglea ( $^{\prime\prime}$yr-1) Anglee ( $^{\prime\prime}$ yr-1) Anglee ( $^{\prime\prime}$yr-1) Anglee
SDSS J004759.59+135332.0         ...h         ... 0.13 $\pm$ 0.02 208 $\pm$ 10 0.13 $\pm$ 0.03 234 $\pm$ 14 0.47 $\pm$ 0.27 300 $\pm$ 36
SDSS J015141.04-005156.5 0.044 $\pm$ 0.012 274.8 $\pm$ 14.2 0.07 $\pm$ 0.06 285 $\pm$ 57 0.04 $\pm$ 0.03 257 $\pm$ 72 0.07 $\pm$ 0.15 150 ...
SDSS J022927.95-005328.5 0.068 $\pm$ 0.012 104.8 $\pm$ 25.1 0.02 $\pm$ 0.03   57 ... 0.04 $\pm$ 0.04 136 ... 0.10 $\pm$ 0.09 143 $\pm$ 63
SDSS J073241.77+264558.9 0.002 ...   30.3 ... 0.04 $\pm$ 0.02 359 $\pm$ 32 0.02 $\pm$ 0.03 230 ... 0.12 $\pm$ 0.06 206 $\pm$ 30
SDSS J074436.02+251330.5 0.033 ... 262.6 ... 0.04 $\pm$ 0.03 296 $\pm$ 50 0.06 $\pm$ 0.06 296 ... 0.05 $\pm$ 0.28 322 ...
SDSS J075754.16+221604.9 0.016 ...   74.6 ... 0.02 $\pm$ 0.04   63 ... 0.05 $\pm$ 0.04 116 $\pm$ 59 0.11 $\pm$ 0.07 124 $\pm$ 38
SDSS J081303.96+243355.9 0.066 ... 251.3 ... 0.06 $\pm$ 0.03 254 $\pm$ 30 0.08 $\pm$ 0.03 228 $\pm$ 25 0.09 $\pm$ 0.06 216 $\pm$ 42
SDSS J081409.45+260250.4 0.057 ... 278.5 ... 0.06 $\pm$ 0.03 304 $\pm$ 35 0.03 $\pm$ 0.03 217 $\pm$ 59 0.08 $\pm$ 0.05 170 $\pm$ 36
SDSS J083613.45+022106.2 0.096 $\pm$ 0.003 285.0 $\pm$ 1.6 0.07 $\pm$ 0.02 311 $\pm$ 17 0.11 $\pm$ 0.03 291 $\pm$ 14 0.36 $\pm$ 0.16 263 $\pm$ 26
SDSS J092745.81+010640.4 0.100 $\pm$ 0.001 274.1 $\pm$ 2.0 0.12 $\pm$ 0.02 272 $\pm$   9 0.10 $\pm$ 0.03 302 $\pm$ 19 ...g   37 $\pm$ 58
SDSS J094624.37+344639.8 0.083 ... 293.8 ... 0.09 $\pm$ 0.03 304 $\pm$ 22 0.07 $\pm$ 0.04 298 $\pm$ 33 0.05 $\pm$ 0.07 295 ...
SDSS J095941.47+114146.0 0.148 ... 254.1 ... 0.15 $\pm$ 0.03 259 $\pm$ 12 0.14 $\pm$ 0.04 257 $\pm$ 18 0.11 $\pm$ 0.10 252 $\pm$ 67
SDSS J121238.73+000721.6 0.037 ... 278.5 ... 0.03 $\pm$ 0.02 342 $\pm$ 38 0.04 $\pm$ 0.05 282 ...  0.13 $\pm$ 0.27f   20 ...
SDSS J133131.70+122531.4 0.182 $\pm$ 0.006 193.7 $\pm$ 1.4 0.16 $\pm$ 0.03 188 $\pm$ 11 0.12 $\pm$ 0.02 207 $\pm$   8 0.12 $\pm$ 0.03 243 $\pm$ 14
SDSS J134531.43+001551.2 0.047 $\pm$ 0.006   95.2 $\pm$ 1.9 0.05 $\pm$ 0.02   77 $\pm$ 22 0.04 $\pm$ 0.05 124 ...  0.25 $\pm$ 0.27f   34 ...
SDSS J150153.00-013507.1 0.236 $\pm$ 0.002 255.3 $\pm$ 0.7 0.26 $\pm$ 0.03 264 $\pm$   6 0.24 $\pm$ 0.02 258 $\pm$   5 0.21 $\pm$ 0.07 241 $\pm$ 19
SDSS J154236.26-004545.9 0.531 $\pm$ 0.001 258.5 $\pm$ 0.1 0.52 $\pm$ 0.02 259 $\pm$   2 0.60 $\pm$ 0.05 252 $\pm$   5 ...g   40 $\pm$ 25
SDSS J154432.77+265551.2 0.141 ... 311.9 ... 0.16 $\pm$ 0.04 310 $\pm$ 15 0.15 $\pm$ 0.03 304 $\pm$ 11 0.18 $\pm$ 0.05 295 $\pm$ 16
SDSS J154740.16+053208.3 0.047 $\pm$ 0.006 293.1 $\pm$ 3.9 0.06 $\pm$ 0.05 327 $\pm$ 46 0.06 $\pm$ 0.05 243 $\pm$ 54 0.16 $\pm$ 0.11 209 $\pm$ 43
SDSS J161711.68+322249.5 0.099 ... 213.0 ... 0.04 $\pm$ 0.04   61 ... 0.02 $\pm$ 0.04 107 ... 0.02 $\pm$ 0.06 173 ...
SDSS J232715.71+151730.4 0.160 $\pm$ 0.001 202.4 $\pm$ 0.7 0.20 $\pm$ 0.02 216 $\pm$   5 0.18 $\pm$ 0.02 211 $\pm$   5 0.10 $\pm$ 0.04 210 $\pm$ 28
SDSS J234040.33-003337.2 0.028 $\pm$ 0.003 258.8 $\pm$ 6.4 0.05 $\pm$ 0.04   49 $\pm$ 57 0.01 $\pm$ 0.04 199 ... 0.05 $\pm$ 0.08 214 ...
SDSS J234513.85+002441.6 0.092 $\pm$ 0.001 200.1 $\pm$ 4.2 0.29 $\pm$ 0.03 189 $\pm$ 7 0.05 $\pm$ 0.05 221 ... 1.04 $\pm$ 0.26     4 $\pm$ 14
a SDSS-UKIDSS relative proper motions - found by specifically measuring the relative movement of the ultracool dwarfs with respect to nearby reference objects in the SDSS and UKIDSS images; b SDSS-UKIDSS data-base proper motions - found by dividing the difference between the SDSS and UKIDSS coordinates (from the respective databases) by the observational epoch difference. Standard errors are calculated using the major axes of the position error ellipses from SDSS and UKIDSS; c 2MASS-UKIDSS database proper motions - as for b except using 2MASS and UKIDSS; d 2MASS-SDSS database proper motions - as for b except using 2MASS and SDSS. We do not present the proper motions calculated with a baseline 10 months; e error ellipses of 2MASS and SDSS overlap for some objects for which position angle errors are not meaningful; f objects with a 2MASS-SDSS baseline <1 year; g we do not present their proper motions for they have a short 2MASS-SDSS baseline (<2 months); h We do not measure its proper motion for it is very faint in SDSS z-band image.

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