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Carréphylic classes: n2+2

Nice and orderly. For all q/t-fractions, v = -2, placing the it to the right of the middle of the section but keeping up the 'v = -1 division' of fractions to the left and right being below and above the root-value respectively.

√6
 1 0 1 2 5 12 17 22 49 120 169 218 485 1188 1673 2158 4801 11760 16561 21362 47525 116412 163937 211462 470449 1152360 1622809 2093258 4656965 11407188 ... 0 1 1 1 2 5 7 9 20 49 69 89 198 485 683 881 1960 4801 6761 8721 19402 47525 66927 86329 192060 470449 662509 854569 1901198 4656965 ...

√11
 1 0 1 2 3 7 10 33 43 53 63 136 199 660 859 1058 1257 2713 3970 13167 17137 21107 25077 54124 79201 262680 341881 421082 500283 1079767 1580050 5240433 6820483 8400533 9980583 21541216 31521799 104545980 ... 0 1 1 1 1 2 3 10 13 16 19 41 60 199 259 319 379 818 1197 3970 5167 6364 7561 16319 23880 79201 103081 126961 150841 325562 476403 1580050 2056453 2532856 3009259 6494921 9504180 31521799 ...

√18
 1 0 1 2 3 4 13 17 72 89 106 123 140 437 577 2448 3025 3602 4179 4756 14845 19601 83160 102761 122362 141963 161564 504293 665857 2824992 3490849 4156706 4822563 5488420 17131117 22619537 95966568 ... 0 1 1 1 1 1 3 4 17 21 25 29 33 103 136 577 713 849 985 1121 3499 4620 19601 24221 28841 33461 38081 118863 156944 665857 822801 979745 1136689 1293633 4037843 5331476 22619537 ...

√27
 1 0 1 2 3 4 5 16 21 26 135 161 187 213 239 265 821 1086 1351 7020 8371 9722 11073 12424 13775 42676 56451 70226 364905 435131 505357 575583 645809 716035 2218331 2934366 3650401 18968040 22618441 26268842 29919243 33569644 37220045 115310536 152530581 189750626 985973175 ... 0 1 1 1 1 1 1 3 4 5 26 31 36 41 46 51 158 209 260 1351 1611 1871 2131 2391 2651 8213 10864 13515 70226 83741 97256 110771 124286 137801 426918 564719 702520 3650401 4352921 5055441 5757961 6460481 7163001 22191523 29354524 36517525 189750626 ...

√38
 1 0 1 2 3 4 5 6 25 31 37 228 265 302 339 376 413 450 1837 2287 2737 16872 19609 22346 25083 27820 30557 33294 135913 169207 202501 1248300 1450801 1653302 1855803 2058304 2260805 2463306 10055725 12519031 14982337 179853744 107339665 122322002 137304339 152286676 167269013 182251350 743987737 926239087 1108490437 6833193972 ... 0 1 1 1 1 1 1 1 4 5 6 37 43 49 55 61 67 73 298 371 444 2737 3181 3625 4069 4513 4957 5401 22048 27449 32850 202501 235351 268201 301051 333901 366751 399601 1631254 2030855 2430456 14982337 17412793 19843249 22273705 24704161 27134617 29565073 120690748 150255821 179820894 1108490437 ...

√51
 1 0 1 2 3 4 5 6 7 29 36 43 50 357 407 457 507 557 607 657 707 2878 3585 4292 4999 35700 40699 45698 50697 55696 60695 65694 70693 287771 358464 429157 499850 3569643 4069493 4569343 5069193 5569043 6068893 6568743 7068593 28774222 35842815 42911408 49980001 356928600 ... 0 1 1 1 1 1 1 1 1 4 5 6 7 50 57 64 71 78 85 92 99 403 502 601 700 4999 5699 6399 7099 7799 8499 9199 9899 40296 50195 60094 69993 499850 569843 639836 709829 779822 849815 919808 989801 4029197 5018998 6008799 6998600 49980001 ...

√66
 1 0 1 2 3 4 5 6 7 8 41 49 57 65 528 593 658 723 788 853 918 983 1048 5305 6353 7401 8449 68640 ... 0 1 1 1 1 1 1 1 1 1 5 6 7 8 65 73 81 89 97 105 113 121 129 653 782 911 1040 8449 ...

√83
 1 0 1 2 3 4 5 6 7 8 9 46 55 64 73 82 747 829 911 993 1075 1157 1239 1321 1403 1485 7507 8992 10477 11962 13447 122508 ... 0 1 1 1 1 1 1 1 1 1 1 5 6 7 8 9 82 91 100 109 118 127 136 145 154 163 824 987 1150 1313 1476 13447 ...

√102
 1 0 1 2 3 4 5 6 7 8 9 10 61 71 81 91 101 1020 1121 1222 1323 1424 1525 1626 1727 1828 1929 2030 12281 14311 16341 18371 20401 206040 ... 0 1 1 1 1 1 1 1 1 1 1 1 6 7 8 9 10 101 111 121 131 141 151 161 171 181 191 201 1216 1417 1618 1819 2020 20401 ...

√123
 1 0 1 2 3 4 5 6 7 8 9 10 11 67 78 89 100 111 122 1353 1475 1597 1719 1841 1963 2085 2207 2329 2451 2573 2695 16292 18987 21682 24377 27072 29767 330132 ... 0 1 1 1 1 1 1 1 1 1 1 1 1 6 7 8 9 10 11 122 133 144 155 166 177 188 199 210 221 232 243 1469 1712 1955 2198 2441 2684 29767 ...