History of Number of elliptic curves over $\mathbb{Q}$ with good redution outside $S$

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compare when who what
2026-08-14 21:31 bmatschke how well the digits are known: proven (a count of curves, evaluated into an interval field) current
2026-08-13 22:17 bmatschke how well the digits are known: proven (a count of curves, evaluated into an interval field)
2026-08-13 22:07 bmatschke how well the digits are known: heuristic (a fixed-precision value wrapped in an interval field)
2026-08-09 09:26 label hoist moved the parameter labels onto the parameter they describe
2026-08-09 09:15 flattening entries rewritten as records with named parameters
2026-08-09 08:36 data-repository import attached the files from the data repository reviewed
2026-08-09 08:35 data-repository import the current state of the data repository
2021-05-18 09:59 bmatschke from the data repository, 8da0d7c6
2021-05-17 20:35 bmatschke from the data repository, 61a64fdf
2021-05-17 20:35 bmatschke from the data repository, 63177920
2021-05-17 20:23 bmatschke from the data repository, a91fc211
2021-05-17 20:04 bmatschke from the data repository, ae852ef9

What changed between 2026-08-09 08:36 and 2026-08-09 09:15

from line 76 (2562 lines, 256 more than before) @@ -76,2306 +76,2562 @@
   number-header: count Numbers:-  '1':-    param-latex: $\{\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '0'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '0'-  '2':-    param-latex: $\{2\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '24'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '5'-  '3':-    param-latex: $\{3\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '8'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '2'-  '6':-    param-latex: $\{2, 3\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '752'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '83'-  '5':-    param-latex: $\{5\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '0'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '0'-  '10':-    param-latex: $\{2, 5\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '280'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '32'-  '15':-    param-latex: $\{3, 5\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '148'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '29'-  '30':-    param-latex: $\{2, 3, 5\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '7600'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '442'-  '7':-    param-latex: $\{7\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '4'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '2'-  '14':-    param-latex: $\{2, 7\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '288'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '33'-  '21':-    param-latex: $\{3, 7\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '148'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '29'-  '42':-    param-latex: $\{2, 3, 7\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '7168'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '415'-  '35':-    param-latex: $\{5, 7\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '40'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '10'-  '70':-    param-latex: $\{2, 5, 7\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '3088'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '186'-  '105':-    param-latex: $\{3, 5, 7\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '1080'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '109'-  '210':-    param-latex: $\{2, 3, 5, 7\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '71520'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '2140'-  '11':-    param-latex: $\{11\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '12'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '6'-  '22':-    param-latex: $\{2, 11\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '232'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '26'-  '33':-    param-latex: $\{3, 11\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '132'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '25'-  '66':-    param-latex: $\{2, 3, 11\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '6640'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '382'-  '55':-    param-latex: $\{5, 11\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '44'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '11'-  '110':-    param-latex: $\{2, 5, 11\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '2912'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '175'-  '165':-    param-latex: $\{3, 5, 11\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '968'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '95'-  '330':-    param-latex: $\{2, 3, 5, 11\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '64160'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '1910'-  '77':-    param-latex: $\{7, 11\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '56'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '14'-  '154':-    param-latex: $\{2, 7, 11\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '2656'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '159'-  '231':-    param-latex: $\{3, 7, 11\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '1088'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '110'-  '462':-    param-latex: $\{2, 3, 7, 11\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '59360'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '1760'-  '385':-    param-latex: $\{5, 7, 11\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '424'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '53'-  '770':-    param-latex: $\{2, 5, 7, 11\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '26784'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '822'-  '1155':-    param-latex: $\{3, 5, 7, 11\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '10000'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '545'-  '2310':-    param-latex: $\{2, 3, 5, 7, 11\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '592192'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '8980'-  '13':-    param-latex: $\{13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '0'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '0'-  '26':-    param-latex: $\{2, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '336'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '39'-  '39':-    param-latex: $\{3, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '96'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '16'-  '78':-    param-latex: $\{2, 3, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '6192'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '354'-  '65':-    param-latex: $\{5, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '44'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '11'-  '130':-    param-latex: $\{2, 5, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '2880'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '173'-  '195':-    param-latex: $\{3, 5, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '1248'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '130'-  '390':-    param-latex: $\{2, 3, 5, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '62912'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '1871'-  '91':-    param-latex: $\{7, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '40'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '10'-  '182':-    param-latex: $\{2, 7, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '2912'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '175'-  '273':-    param-latex: $\{3, 7, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '904'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '87'-  '546':-    param-latex: $\{2, 3, 7, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '57056'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '1688'-  '455':-    param-latex: $\{5, 7, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '400'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '50'-  '910':-    param-latex: $\{2, 5, 7, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '24864'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '762'-  '1365':-    param-latex: $\{3, 5, 7, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '9936'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '541'-  '2730':-    param-latex: $\{2, 3, 5, 7, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '575296'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '8716'-  '143':-    param-latex: $\{11, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '32'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '8'-  '286':-    param-latex: $\{2, 11, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '2688'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '161'-  '429':-    param-latex: $\{3, 11, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '976'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '96'-  '858':-    param-latex: $\{2, 3, 11, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '52672'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '1551'-  '715':-    param-latex: $\{5, 11, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '280'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '35'-  '1430':-    param-latex: $\{2, 5, 11, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '22528'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '689'-  '2145':-    param-latex: $\{3, 5, 11, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '8144'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '429'-  '4290':-    param-latex: $\{2, 3, 5, 11, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '507072'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '7650'-  '1001':-    param-latex: $\{7, 11, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '384'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '48'-  '2002':-    param-latex: $\{2, 7, 11, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '20704'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '632'-  '3003':-    param-latex: $\{3, 7, 11, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '8480'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '450'-  '6006':-    param-latex: $\{2, 3, 7, 11, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '469440'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '7062'-  '5005':-    param-latex: $\{5, 7, 11, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '3264'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '204'-  '10010':-    param-latex: $\{2, 5, 7, 11, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '205824'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '3185'-  '15015':-    param-latex: $\{3, 5, 7, 11, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '81152'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '2294'-  '30030':-    param-latex: $\{2, 3, 5, 7, 11, 13\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '4576128'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '34960'-  '17':-    param-latex: $\{17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '8'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '4'-  '34':-    param-latex: $\{2, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '256'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '29'-  '51':-    param-latex: $\{3, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '120'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '22'-  '102':-    param-latex: $\{2, 3, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '6080'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '347'-  '85':-    param-latex: $\{5, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '40'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '10'-  '170':-    param-latex: $\{2, 5, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '2688'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '161'-  '255':-    param-latex: $\{3, 5, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '968'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '95'-  '510':-    param-latex: $\{2, 3, 5, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '60128'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '1784'-  '119':-    param-latex: $\{7, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '28'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '7'-  '238':-    param-latex: $\{2, 7, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '2384'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '142'-  '357':-    param-latex: $\{3, 7, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '1008'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '100'-  '714':-    param-latex: $\{2, 3, 7, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '55008'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '1624'-  '595':-    param-latex: $\{5, 7, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '384'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '48'-  '1190':-    param-latex: $\{2, 5, 7, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '22816'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '698'-  '1785':-    param-latex: $\{3, 5, 7, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '9936'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '541'-  '3570':-    param-latex: $\{2, 3, 5, 7, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '536384'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '8108'-  '187':-    param-latex: $\{11, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '64'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '16'-  '374':-    param-latex: $\{2, 11, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '1920'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '113'-  '561':-    param-latex: $\{3, 11, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '1000'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '99'-  '1122':-    param-latex: $\{2, 3, 11, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '49888'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '1464'-  '935':-    param-latex: $\{5, 11, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '400'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '50'-  '1870':-    param-latex: $\{2, 5, 11, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '21408'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '654'-  '2805':-    param-latex: $\{3, 5, 11, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '7952'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '417'-  '5610':-    param-latex: $\{2, 3, 5, 11, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '488960'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '7367'-  '1309':-    param-latex: $\{7, 11, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '320'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '40'-  '2618':-    param-latex: $\{2, 7, 11, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '19904'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '607'-  '3927':-    param-latex: $\{3, 7, 11, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '7184'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '369'-  '7854':-    param-latex: $\{2, 3, 7, 11, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '430912'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '6460'-  '6545':-    param-latex: $\{5, 7, 11, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '3536'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '221'-  '13090':-    param-latex: $\{2, 5, 7, 11, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '191808'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '2966'-  '19635':-    param-latex: $\{3, 5, 7, 11, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '75424'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '2115'-  '39270':-    param-latex: $\{2, 3, 5, 7, 11, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '4283008'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '32670'-  '221':-    param-latex: $\{13, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '40'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '10'-  '442':-    param-latex: $\{2, 13, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '2064'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '122'-  '663':-    param-latex: $\{3, 13, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '1000'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '99'-  '1326':-    param-latex: $\{2, 3, 13, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '45216'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '1318'-  '1105':-    param-latex: $\{5, 13, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '288'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '36'-  '2210':-    param-latex: $\{2, 5, 13, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '18944'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '577'-  '3315':-    param-latex: $\{3, 5, 13, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '7904'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '414'-  '6630':-    param-latex: $\{2, 3, 5, 13, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '457280'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '6872'-  '1547':-    param-latex: $\{7, 13, 17\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '224'-      Qbar:-        param-latex: 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      param-latex: $\overline{\mathbb{Q}}$-        number: '736'-  '248710':-    param-latex: $\{2, 5, 7, 11, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '1346560'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '10457'-  '373065':-    param-latex: $\{3, 5, 7, 11, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '528704'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '7533'-  '746130':-    param-latex: $\{2, 3, 5, 7, 11, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '29356544'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '112361'-  '4199':-    param-latex: $\{13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '208'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '26'-  '8398':-    param-latex: $\{2, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '13792'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '416'-  '12597':-    param-latex: $\{3, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '6048'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '298'-  '25194':-    param-latex: $\{2, 3, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '332800'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '4927'-  '20995':-    param-latex: $\{5, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '2080'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '130'-  '41990':-    param-latex: $\{2, 5, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '146944'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '2265'-  '62985':-    param-latex: $\{3, 5, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '53856'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '1441'-  '125970':-    param-latex: $\{2, 3, 5, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '3148800'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '23809'-  '29393':-    param-latex: $\{7, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '1856'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '116'-  '58786':-    param-latex: $\{2, 7, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '129728'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '1996'-  '88179':-    param-latex: $\{3, 7, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '50816'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '1346'-  '176358':-    param-latex: $\{2, 3, 7, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '2803456'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '21111'-  '146965':-    param-latex: $\{5, 7, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '22560'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '705'-  '293930':-    param-latex: $\{2, 5, 7, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '1292928'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '10038'-  '440895':-    param-latex: $\{3, 5, 7, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '496768'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '7034'-  '881790':-    param-latex: $\{2, 3, 5, 7, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '28140800'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '107612'-  '46189':-    param-latex: $\{11, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '1952'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '122'-  '92378':-    param-latex: $\{2, 11, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '111744'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '1715'-  '138567':-    param-latex: $\{3, 11, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '48736'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '1281'-  '277134':-    param-latex: $\{2, 3, 11, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '2497280'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '18719'-  '230945':-  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Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '536'-  '646646':-    param-latex: $\{2, 7, 11, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '1022336'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '7924'-  '969969':-    param-latex: $\{3, 7, 11, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '417280'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '5792'-  '1939938':-    param-latex: $\{2, 3, 7, 11, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '22180864'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '84331'-  '1616615':-    param-latex: $\{5, 7, 11, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '167744'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '2621'-  '3233230':-    param-latex: $\{2, 5, 7, 11, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '10008064'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '38967'-  '4849845':-    param-latex: $\{3, 5, 7, 11, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '3837184'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '27792'-  '9699690':-    param-latex: $\{2, 3, 5, 7, 11, 13, 17, 19\}$-    numbers:-      Q:-        param-latex: $\mathbb{Q}$-        number: '217923072'-      Qbar:-        param-latex: $\overline{\mathbb{Q}}$-        number: '418816'+- param-latex: $\mathbb{Q}$+  params:+    S: '1'+    variable: Q+  number: '0'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '1'+    variable: Qbar+  number: '0'+- param-latex: $\mathbb{Q}$+  params:+    S: '2'+    variable: Q+  number: '24'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '2'+    variable: Qbar+  number: '5'+- param-latex: $\mathbb{Q}$+  params:+    S: '3'+    variable: Q+  number: '8'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '3'+    variable: Qbar+  number: '2'+- param-latex: $\mathbb{Q}$+  params:+    S: '6'+    variable: Q+  number: '752'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '6'+    variable: Qbar+  number: '83'+- param-latex: $\mathbb{Q}$+  params:+    S: '5'+    variable: Q+  number: '0'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '5'+    variable: Qbar+  number: '0'+- param-latex: $\mathbb{Q}$+  params:+    S: '10'+    variable: Q+  number: '280'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '10'+    variable: Qbar+  number: '32'+- param-latex: $\mathbb{Q}$+  params:+    S: '15'+    variable: Q+  number: '148'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '15'+    variable: Qbar+  number: '29'+- param-latex: $\mathbb{Q}$+  params:+    S: '30'+    variable: Q+  number: '7600'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '30'+    variable: 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'40'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '85'+    variable: Qbar+  number: '10'+- param-latex: $\mathbb{Q}$+  params:+    S: '170'+    variable: Q+  number: '2688'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '170'+    variable: Qbar+  number: '161'+- param-latex: $\mathbb{Q}$+  params:+    S: '255'+    variable: Q+  number: '968'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '255'+    variable: Qbar+  number: '95'+- param-latex: $\mathbb{Q}$+  params:+    S: '510'+    variable: Q+  number: '60128'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '510'+    variable: Qbar+  number: '1784'+- param-latex: $\mathbb{Q}$+  params:+    S: '119'+    variable: Q+  number: '28'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '119'+    variable: Qbar+  number: '7'+- param-latex: $\mathbb{Q}$+  params:+    S: '238'+    variable: Q+  number: '2384'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '238'+    variable: Qbar+  number: '142'+- param-latex: $\mathbb{Q}$+  params:+    S: '357'+    variable: Q+  number: '1008'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '357'+    variable: Qbar+  number: '100'+- param-latex: $\mathbb{Q}$+  params:+    S: '714'+    variable: Q+  number: '55008'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '714'+    variable: Qbar+  number: '1624'+- param-latex: $\mathbb{Q}$+  params:+    S: '595'+    variable: Q+  number: '384'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '595'+    variable: Qbar+  number: '48'+- param-latex: $\mathbb{Q}$+  params:+    S: '1190'+    variable: Q+  number: '22816'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '1190'+    variable: Qbar+  number: '698'+- param-latex: $\mathbb{Q}$+  params:+    S: '1785'+    variable: Q+  number: '9936'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '1785'+    variable: Qbar+  number: '541'+- param-latex: $\mathbb{Q}$+  params:+    S: '3570'+    variable: Q+  number: '536384'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '3570'+    variable: Qbar+  number: '8108'+- param-latex: $\mathbb{Q}$+  params:+    S: '187'+    variable: Q+  number: '64'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '187'+    variable: Qbar+  number: '16'+- param-latex: $\mathbb{Q}$+  params:+    S: '374'+    variable: Q+  number: '1920'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '374'+    variable: Qbar+  number: '113'+- param-latex: $\mathbb{Q}$+  params:+    S: '561'+    variable: Q+  number: '1000'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '561'+    variable: Qbar+  number: '99'+- param-latex: $\mathbb{Q}$+  params:+    S: '1122'+    variable: Q+  number: '49888'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '1122'+    variable: Qbar+  number: '1464'+- param-latex: $\mathbb{Q}$+  params:+    S: '935'+    variable: Q+  number: '400'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '935'+    variable: Qbar+  number: '50'+- param-latex: $\mathbb{Q}$+  params:+    S: '1870'+    variable: Q+  number: '21408'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '1870'+    variable: Qbar+  number: '654'+- param-latex: $\mathbb{Q}$+  params:+    S: '2805'+    variable: Q+  number: '7952'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '2805'+    variable: Qbar+  number: '417'+- param-latex: $\mathbb{Q}$+  params:+    S: '5610'+    variable: Q+  number: '488960'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '5610'+    variable: Qbar+  number: '7367'+- param-latex: $\mathbb{Q}$+  params:+    S: '1309'+    variable: Q+  number: '320'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '1309'+    variable: Qbar+  number: '40'+- param-latex: $\mathbb{Q}$+  params:+    S: '2618'+    variable: Q+  number: '19904'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '2618'+    variable: Qbar+  number: '607'+- param-latex: $\mathbb{Q}$+  params:+    S: '3927'+    variable: Q+  number: '7184'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '3927'+    variable: Qbar+  number: '369'+- param-latex: $\mathbb{Q}$+  params:+    S: '7854'+    variable: Q+  number: '430912'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '7854'+    variable: Qbar+  number: '6460'+- param-latex: $\mathbb{Q}$+  params:+    S: '6545'+    variable: Q+  number: '3536'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '6545'+    variable: Qbar+  number: '221'+- param-latex: $\mathbb{Q}$+  params:+    S: '13090'+    variable: Q+  number: '191808'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '13090'+    variable: Qbar+  number: '2966'+- param-latex: $\mathbb{Q}$+  params:+    S: '19635'+    variable: Q+  number: '75424'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '19635'+    variable: Qbar+  number: '2115'+- param-latex: $\mathbb{Q}$+  params:+    S: '39270'+    variable: Q+  number: '4283008'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '39270'+    variable: Qbar+  number: '32670'+- param-latex: $\mathbb{Q}$+  params:+    S: '221'+    variable: Q+  number: '40'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '221'+    variable: Qbar+  number: '10'+- param-latex: $\mathbb{Q}$+  params:+    S: '442'+    variable: Q+  number: '2064'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '442'+    variable: Qbar+  number: '122'+- param-latex: $\mathbb{Q}$+  params:+    S: '663'+    variable: Q+  number: '1000'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '663'+    variable: Qbar+  number: '99'+- param-latex: $\mathbb{Q}$+  params:+    S: '1326'+    variable: Q+  number: '45216'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '1326'+    variable: Qbar+  number: '1318'+- param-latex: $\mathbb{Q}$+  params:+    S: '1105'+    variable: Q+  number: '288'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '1105'+    variable: Qbar+  number: '36'+- param-latex: $\mathbb{Q}$+  params:+    S: '2210'+    variable: Q+  number: '18944'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '2210'+    variable: Qbar+  number: '577'+- param-latex: $\mathbb{Q}$+  params:+    S: '3315'+    variable: Q+  number: '7904'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '3315'+    variable: Qbar+  number: '414'+- param-latex: $\mathbb{Q}$+  params:+    S: '6630'+    variable: Q+  number: '457280'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '6630'+    variable: Qbar+  number: '6872'+- param-latex: $\mathbb{Q}$+  params:+    S: '1547'+    variable: Q+  number: '224'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '1547'+    variable: Qbar+  number: '28'+- param-latex: $\mathbb{Q}$+  params:+    S: '3094'+    variable: Q+  number: '20320'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '3094'+    variable: Qbar+  number: '620'+- param-latex: $\mathbb{Q}$+  params:+    S: '4641'+    variable: Q+  number: '6816'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '4641'+    variable: Qbar+  number: '346'+- param-latex: $\mathbb{Q}$+  params:+    S: '9282'+    variable: Q+  number: '406592'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '9282'+    variable: Qbar+  number: '6080'+- param-latex: $\mathbb{Q}$+  params:+    S: '7735'+    variable: Q+  number: '3104'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '7735'+    variable: Qbar+  number: '194'+- param-latex: $\mathbb{Q}$+  params:+    S: '15470'+    variable: Q+  number: '181824'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '15470'+    variable: Qbar+  number: '2810'+- param-latex: $\mathbb{Q}$+  params:+    S: '23205'+    variable: Q+  number: '73024'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '23205'+    variable: Qbar+  number: '2040'+- param-latex: $\mathbb{Q}$+  params:+    S: '46410'+    variable: Q+  number: '4127872'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '46410'+    variable: Qbar+  number: '31458'+- param-latex: $\mathbb{Q}$+  params:+    S: '2431'+    variable: Q+  number: '344'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '2431'+    variable: Qbar+  number: '43'+- param-latex: $\mathbb{Q}$+  params:+    S: '4862'+    variable: Q+  number: '15200'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '4862'+    variable: Qbar+  number: '460'+- param-latex: $\mathbb{Q}$+  params:+    S: '7293'+    variable: Q+  number: '7440'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '7293'+    variable: Qbar+  number: '385'+- param-latex: $\mathbb{Q}$+  params:+    S: '14586'+    variable: Q+  number: '342720'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '14586'+    variable: Qbar+  number: '5082'+- param-latex: $\mathbb{Q}$+  params:+    S: '12155'+    variable: Q+  number: '2464'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '12155'+    variable: Qbar+  number: '154'+- param-latex: $\mathbb{Q}$+  params:+    S: '24310'+    variable: Q+  number: '166208'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '24310'+    variable: Qbar+  number: '2566'+- param-latex: $\mathbb{Q}$+  params:+    S: '36465'+    variable: Q+  number: '63808'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '36465'+    variable: Qbar+  number: '1752'+- param-latex: $\mathbb{Q}$+  params:+    S: '72930'+    variable: Q+  number: '3625984'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '72930'+    variable: Qbar+  number: '27537'+- param-latex: $\mathbb{Q}$+  params:+    S: '17017'+    variable: Q+  number: '2224'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '17017'+    variable: Qbar+  number: '139'+- param-latex: $\mathbb{Q}$+  params:+    S: '34034'+    variable: Q+  number: '137728'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '34034'+    variable: Qbar+  number: '2121'+- param-latex: $\mathbb{Q}$+  params:+    S: '51051'+    variable: Q+  number: '56608'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '51051'+    variable: Qbar+  number: '1527'+- param-latex: $\mathbb{Q}$+  params:+    S: '102102'+    variable: Q+  number: '3210752'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '102102'+    variable: Qbar+  number: '24293'+- param-latex: $\mathbb{Q}$+  params:+    S: '85085'+    variable: Q+  number: '24352'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '85085'+    variable: Qbar+  number: '761'+- param-latex: $\mathbb{Q}$+  params:+    S: '170170'+    variable: Q+  number: '1479168'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '170170'+    variable: Qbar+  number: '11493'+- param-latex: $\mathbb{Q}$+  params:+    S: '255255'+    variable: Q+  number: '565440'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '255255'+    variable: Qbar+  number: '8107'+- param-latex: $\mathbb{Q}$+  params:+    S: '510510'+    variable: Q+  number: '32367872'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '510510'+    variable: Qbar+  number: '124124'+- param-latex: $\mathbb{Q}$+  params:+    S: '19'+    variable: Q+  number: '8'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '19'+    variable: Qbar+  number: '4'+- param-latex: $\mathbb{Q}$+  params:+    S: '38'+    variable: Q+  number: '336'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '38'+    variable: Qbar+  number: '39'+- param-latex: $\mathbb{Q}$+  params:+    S: '57'+    variable: Q+  number: '140'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '57'+    variable: Qbar+  number: '27'+- param-latex: $\mathbb{Q}$+  params:+    S: '114'+    variable: Q+  number: '5936'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '114'+    variable: Qbar+  number: '338'+- param-latex: $\mathbb{Q}$+  params:+    S: '95'+    variable: Q+  number: '40'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '95'+    variable: Qbar+  number: '10'+- param-latex: $\mathbb{Q}$+  params:+    S: '190'+    variable: Q+  number: '2304'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '190'+    variable: Qbar+  number: '137'+- param-latex: $\mathbb{Q}$+  params:+    S: '285'+    variable: Q+  number: '1096'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '285'+    variable: Qbar+  number: '111'+- param-latex: $\mathbb{Q}$+  params:+    S: '570'+    variable: Q+  number: '58336'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '570'+    variable: Qbar+  number: '1728'+- param-latex: $\mathbb{Q}$+  params:+    S: '133'+    variable: Q+  number: '32'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '133'+    variable: Qbar+  number: '8'+- param-latex: $\mathbb{Q}$+  params:+    S: '266'+    variable: Q+  number: '1904'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '266'+    variable: Qbar+  number: '112'+- param-latex: $\mathbb{Q}$+  params:+    S: '399'+    variable: Q+  number: '1024'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '399'+    variable: Qbar+  number: '102'+- param-latex: $\mathbb{Q}$+  params:+    S: '798'+    variable: Q+  number: '53760'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '798'+    variable: Qbar+  number: '1585'+- param-latex: $\mathbb{Q}$+  params:+    S: '665'+    variable: Q+  number: '408'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '665'+    variable: Qbar+  number: '51'+- param-latex: $\mathbb{Q}$+  params:+    S: '1330'+    variable: Q+  number: '24608'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '1330'+    variable: Qbar+  number: '754'+- param-latex: $\mathbb{Q}$+  params:+    S: '1995'+    variable: Q+  number: '8768'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '1995'+    variable: Qbar+  number: '468'+- param-latex: $\mathbb{Q}$+  params:+    S: '3990'+    variable: Q+  number: '523584'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '3990'+    variable: Qbar+  number: '7908'+- param-latex: $\mathbb{Q}$+  params:+    S: '209'+    variable: Q+  number: '56'+- param-latex: 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param-latex: $\mathbb{Q}$+  params:+    S: '3135'+    variable: Q+  number: '8192'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '3135'+    variable: Qbar+  number: '432'+- param-latex: $\mathbb{Q}$+  params:+    S: '6270'+    variable: Q+  number: '461568'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '6270'+    variable: Qbar+  number: '6939'+- param-latex: $\mathbb{Q}$+  params:+    S: '1463'+    variable: Q+  number: '296'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '1463'+    variable: Qbar+  number: '37'+- param-latex: $\mathbb{Q}$+  params:+    S: '2926'+    variable: Q+  number: '18144'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '2926'+    variable: Qbar+  number: '552'+- param-latex: $\mathbb{Q}$+  params:+    S: '4389'+    variable: Q+  number: '7616'+- param-latex: $\overline{\mathbb{Q}}$+  params:+    S: '4389'+    variable: Qbar+  number: '396'+- param-latex: $\mathbb{Q}$+  params:+    S: '8778'+    variable: Q+  number: 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