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Table A.1:

All line fluxes calculated by our fitting procedure for the 6 stars.
Transition Wavelength Energy of VY CMa IK Tau TX Cam RX Boo IRC+10011 R Cas
  ($\mu $m) upper (10-16 W m-2)          
    State (K)            
SW1                
660-735 43.790 1175.0 146 29.7 7.2 5.0 18.1 11.1
541-432 43.893 550.4 49.2 11.5 1.3 5.6 3.6 5.4
743-716 44.048 1013.2 208 49.9 7.9 21.1 21.7 17.0
542-431 44.195 552.3 183 48.7 17.7 6.2 12.1 25.2
836-725 44.702 1125.7 174 46.1 7.3 9.7 19.1 7.6
523-414 45.112 323.5 323 102 18.8 33.4 19.0 32.5
331-202 46.484 100.8 200 52.3 11.4 13.8 19.7 27.4
642-615 46.539 781.1 55.3 22.4 2.2 5.7 5.0 5.2
633-606 46.544 642.7 13.0 4.4 0.49 1.1 0.82 1.1
1029-918 46.608 1552.6 13.2 5.5 3.4 0.83 0 5.6
735-624 46.746 867.3 102 17.4 10.1 0.11 2.4 17.7
440-413 47.028 396.4 63.1 14.1 4.5 6.3 2.0 4.8
1019-928 47.029 1554.4 4.0 1.0 0.26 0.47 0.24 0.30
11111-10010 47.040 1603.6 0 0 0 0 0 0
11011-10110 47.045 1603.6 117 30.0 7.5 14.9 8.2 9.4
844-919 47.267 1324.0 0 0 1.3 0 0 0
541-514 47.420 574.7 312 62.4 24.5 27.0 21.2 43.8
761-836 47.601 1447.6 115 16.1 8.1 16.4 2.0 17.2
532-423 47.973 432.2 304 64.4 23.7 23.1 11.2 37.7
440-331 49.282 410.4 6.2 0.12 0.01 4.1 0.02 0.02
661-734 49.334 1212.0 77.2 25.8 2.2 6.8 5.9 7.2
441-330 49.337 410.7 50.3 15.2 1.6 3.9 2.3 4.8
634-523 49.391 642.4 167 50.7 13.3 9.4 4.5 15.7
928-817 50.634 1270.3 260 77.3 9.9 10.1 16.4 13.8
SW2                
927-836 51.071 1447.6 267 62.1 15.1 17.5 9.2 12.8
10110-909 51.445 1323.9 217 51.2 0.62 10.2 10.9 4.8
10010-919 51.461 1324.0 0.20 0.05 0 1.0 0.01 1.7
918-827 51.685 1274.2 230 41.0 18.5 8.4 6.3 3.1
550-625 52.864 795.5 44.1 14.1 13.7 7.9 0 17.2
533-422 53.138 454.3 175 37.7 23.3 12.1 3.4 11.1
743-818 53.455 1070.7 24.9 12.8 29.3 10.9 0.70 8.3
532-505 54.507 468.1 158 60.6 21.6 9.2 16.0 14.5
827-716 55.131 1013.2 149 34.2 0.62 26.6 12.6 9.8
1029-10110 55.840 1603.6 0 0.40 0 6.6 2.0 0
651-726 55.858 1021.0 104 42.0 0.54 12.9 3.8 0
1019-10010 56.027 1603.6 66.8 1.9 1.5 0.03 0 0
431-322 56.325 296.8 155 27.4 0 14.9 0 0
919-808 56.771 1070.5 126 12.9 0.78 13.6 0 0
909-818 56.816 1070.7 13.4 3.9 0.90 0.94 0 0.78
853-928 56.972 1554.4 109 20.4 0.15 11.1 4.6 12.4
752-827 57.394 1274.2 73.4 9.2 7.2 6.5 0 9.7
422-313 57.637 204.7 142 29.4 10.6 21.6 6.1 14.6
817-726 57.709 1021.0 221 45.8 10.4 16.4 13.9 19.0
642-717 58.377 843.8 0 0.20 0 5.3 0 0
432-321 58.699 305.2 151 33.4 7.6 1.5 11.7 15.0
SW3                
726-615 59.987 781.1 76.4 17.7 3.8 4.8 8.0 1.8
826-735 60.162 1175.0 106 28.4 4.8 2.5 7.5 7.2
762-835 60.229 1511.0 8.4 0.90 0.08 0 1.8 0.18
541-616 61.316 643.5 10.5 0 0 0 0 1.0
431-404 61.809 319.5 95.2 24.8 4.9 4.5 2.5 11.7
440-515 61.916 469.9 1.9 0.49 0 0.06 0.05 0.06
936-845 62.418 1615.3 10.7 3.6 0.46 0.31 0.28 0.49
928-919 62.432 1324.0 103 27.8 2.0 0.41 2.9 1.4
918-909 62.928 1324.0 68.6 16.4 1.8 0 5.5 6.2
818-707 63.324 843.5 71.5 13.1 3.9 2.9 0 11.7
808-717 63.458 843.8 139 35.7 7.2 11.6 3.6 13.7
762-753 63.880 1524.6 12.1 2.7 0.01 0.01 0.23 0.19
661-652 63.914 1278.5 88.9 25.3 3.1 6.2 4.5 5.0
660-651 63.928 1278.6 5.5 1.6 0.20 0.34 0.30 0.30
761-752 63.955 1524.9 110 32.4 4.3 5.2 6.0 5.0
625-514 65.166 574.7 107 24.2 1.3 8.3 3.6 10.1
716-625 66.093 795.5 60.3 27.2 2.7 2.2 0.84 8.6
330-221 66.438 194.1 156 37.8 10.3 11.8 5.2 20.7
331-220 67.089 195.9 87.7 20.9 11.0 7.0 7.7 8.1
330-303 67.269 196.8 153 41.7 6.3 10.3 5.5 18.5
SW4                
827-818 70.703 1070.7 81.7 7.5 6.6 3.6 7.7 2.2
524-413 71.067 396.4 145 25.9 3.2 8.3 3.0 3.6
717-606 71.540 642.7 56.2 5.8 1.2 3.4 0 0
551-624 71.788 867.3 1.10 0.57 0 0 0.09 2.1
707-616 71.947 643.5 85.4 30.4 5.4 2.2 4.4 10.6
817-808 72.032 1070.5 18.3 10.3 0 0.81 6.2 0
937-928 73.613 1554.4 37.1 15.8 0 2.0 6.6 1.4
725-634 74.945 933.7 81.0 25.6 3.7 5.3 6.1 12.7
321-212 75.381 114.4 94.8 23.0 10.9 10.2 2.3 14.7
854-845 75.496 1615.3 68.2 30.6 6.6 3.8 6.5 12.7
551-542 75.781 877.8 47.2 13.0 0.69 6.7 5.0 0
753-744 75.813 1334.8 18.7 4.7 0.16 2.9 1.7 0
652-643 75.830 1088.8 0.03 0.01 0 0 0 0
550-541 75.910 878.2 93.5 33.8 2.5 0.84 5.3 5.2
651-642 76.422 1090.3 50.9 15.9 0 0 3.9 5.3
752-743 77.761 1339.9 37.4 10.1 0 4.2 3.9 0
SW5                
423-312 78.742 249.4 110 23.2 11.2 4.0 1.7 12.6
615-524 78.928 598.8 125 26.1 4.8 7.8 4.7 9.8
946-937 80.222 1749.9 32.3 6.3 2.9 5.2 0 0
853-844 80.557 1628.4 28.7 6.2 1.1 0 0 0
726-717 81.216 843.8 34.0 4.8 2.0 0 0.84 0.32
927-918 81.405 1552.6 43.2 10.2 1.7 0 0.06 0
835-744 81.690 1334.8 27.6 2.4 0.09 4.1 2.0 0
616-505 82.031 468.1 110 24.8 8.8 9.4 1.4 16.0
836-827 82.977 1274.2 35.3 9.0 5.0 4.6 5.6 6.8
606-515 83.284 469.9 60.0 17.0 4.9 3.7 0.50 6.0
716-707 84.767 843.5 75.2 16.9 5.1 6.7 7.6 3.8
845-836 85.769 1447.6 36.5 3.4 0 4.1 5.1 0
322-211 89.988 136.9 85.4 19.0 8.1 7.5 2.9 10.0
744-735 90.050 1175.0 50.1 10.8 2.0 10.4 5.3 11.8
LW1                
643-634 92.811 933.7 43.2 5.2 0 3.0 3.5 0
735-726 93.383 1021.0 40.3 4.6 1.1 0 4.2 3.0
652-725 94.172 1125.7 32.8 5.0 1.7 0 3.9 1.8
542-533 94.210 725.1 3.3 0.66 1.2 0 0.35 0.20
625-616 94.644 643.5 43.4 8.1 1.3 1.9 2.3 2.9
441-432 94.705 550.4 65.3 13.7 3.0 3.7 4.0 7.3
945-854 95.176 1805.9 46.6 9.3 1.9 3.7 2.9 1.8
515-404 95.627 319.5 73.7 14.0 3.4 4.9 4.5 10.8
440-431 95.885 552.3 59.1 13.6 3.9 2.3 3.1 2.8
937-10010 98.329 1603.6 45.8 9.3 2.1 2.3 3.7 2.3
541-532 98.494 732.1 54.8 7.7 1.1 0.56 3.7 3.2
505-414 99.493 323.5 85.2 18.8 6.4 6.0 3.9 15.4
826-817 99.979 1270.3 92.4 22.0 2.8 3.6 3.9 6.1
514-423 100.913 432.2 89.3 23.6 6.0 5.5 3.7 11.2
220-111 100.983 53.4 105 25.4 5.9 7.2 3.9 14.3
624-533 101.209 725.1 84.4 21.2 5.4 3.5 2.8 8.7
642-633 103.916 951.8 52.8 15.7 2.4 4.3 3.6 5.9
615-606 103.940 642.7 0.56 0.17 0.03 0.85 0.03 0.07
634-625 104.094 795.5 35.5 8.1 3.4 0.85 1.7 3.7
LW2                
221-110 108.073 61.0 70.6 18.2 9.7 6.3 4.1 15.3
524-515 111.628 469.9 30.0 8.5 3.6 0.74 2.2 3.4
743-734 112.511 1212.0 21.8 5.1 1.5 1.9 2.1 4.0
441-514 112.803 574.7 12.7 3.0 0.89 1.7 1.6 1.7
414-303 113.537 196.8 59.2 15.7 5.1 3.6 3.0 13.3
533-524 113.948 598.8 59.1 13.8 5.5 5.1 4.1 10.7
927-10110 114.454 1603.6 11.7 5.1 0.76 1.1 2.8 1.9
836-909 116.350 1323.9 10.2 2.2 0 0.04 0.92 0.19
734-643 116.779 1088.8 21.3 6.0 0.35 2.0 1.4 4.8
946-853 117.684 1807.0 1.7 0 0 0.19 0.52 0.36
937-844 118.405 1628.4 11.0 3.1 1.2 1.3 0.81 10.7
432-423 121.722 432.2 30.0 7.3 1.7 1.7 2.8 4.5
844-835 122.522 1511.0 10.2 2.2 0.27 0 0.55 1.8
936-927 123.460 1729.3 10.7 2.0 0.22 1.5 1.7 1.8
404-313 125.354 204.7 51.8 15.3 4.3 4.0 4.0 7.3
LW3                
331-322 126.714 296.8 33.0 8.9 3.5 0.76 4.1 4.4
725-716 127.884 1013.2 14.8 4.0 2.7 0.78 2.4 1.5
945-936 129.339 1845.8 3.0 0.38 0.61 0 1.4 0
753-826 130.319 1414.2 8.4 2.3 1.0 0.85 0.45 0.41
423-414 132.408 323.5 30.1 4.9 2.5 2.4 1.8 4.3
836-743 133.549 1339.9 21.0 5.4 2.0 3.3 1.6 1.7
514-505 134.935 468.1 30.3 5.8 2.0 2.7 0.99 3.5
330-321 136.496 305.2 27.6 7.3 2.8 3.1 1.6 4.0
735-808 137.683 1070.5 6.6 2.1 0.92 1.4 1.2 1.8
313-202 138.528 100.8 45.1 9.3 6.0 5.4 1.8 8.1
844-753 138.641 1524.6 11.4 2.4 1.1 1.0 0.53 2.1
413-322 144.518 296.8 32.2 7.4 3.1 2.4 1.4 3.7
431-422 146.923 454.3 19.7 2.9 2.3 0.9 1.3 1.5
LW4                
835-826 148.708 1414.2 5.6 0.83 0.65 1.4 0.73 0.71
542-615 148.790 781.1 3.6 1.4 0.29 0.22 0.65 0.69
322-313 156.194 204.7 5.7 1.5 0.75 0.67 0.21 0.54
523-432 156.265 550.4 37.0 10.0 2.9 1.7 1.6 3.4
331-404 158.312 319.5 13.4 0.48 1.6 0.33 0.19 0.83
845-752 159.051 1524.9 10.4 1.8 0.81 0.59 0.73 1.2
634-707 159.400 843.5 6.8 1.2 0.79 0.20 0.45 0.49
826-919 159.485 1324.0 0.76 0.25 0.70 0.01 0.14 0.09
532-523 160.510 642.4 18.7 5.5 2.6 0.09 1.2 1.6
734-725 166.815 1125.7 5.2 0.58 0 0.06 0.33 0.17
624-615 167.035 781.1 10.9 3.7 0.80 0.26 1.0 0.82
LW5                
735-642 169.739 1090.3 15.5 0.19 0.46 0 1.4 4.1
633-624 170.139 867.3 35.4 9.9 2.2 0.55 2.1 1.4
533-606 174.607 642.7 48.8 14.4 4.3 4.9 2.6 6.7
303-212 174.626 114.4 3.2 1.4 0.34 0.25 0.10 0.71
432-505 174.920 468.1 5.7 0.10 1.6 0.63 2.3 0.60
212-101 179.527 34.2 52.7 11.2 5.0 5.5 0 8.8
221-212 180.488 114.4 26.4 8.5 2.1 0.26 3.7 4.2
413-404 187.111 319.5 15.1 4.9 0 0 0.84 1.3
854-927 187.810 1729.3 3.7 0.91 0 1.8 0.43 3.6
643-716 190.437 1013.2 6.8 0.64 1.4 0 2.3 1.3
633-542 194.422 877.8 14.6 4.4 1.5 4.8 0.88 7.9

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