History of Values of Dedekind zeta functions of real quadratic fields at negative odd integers

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compare when who what
2026-09-04 14:24 bmatschke who asked for a table is not a fact about the mathematics; the issue is answered in the issue current reviewed
2026-09-02 20:32 bmatschke take the run out of two formulas, point at the formulas by number rather than by "below", let the definition say the family instead of the computed range, and link the Bernoulli polynomials, which were named nowhere with a link
2026-09-02 13:10 bmatschke a comment states a fact about the mathematics; how strong a search hit would be is a remark about this website
2026-09-02 01:36 bmatschke cite the Wikipedia article the table already declares, at the first mention of the Dedekind zeta function
2026-09-02 01:35 bmatschke the parameters say what the family is indexed by; how much of it is tabulated is what complete says
2026-09-01 21:12 bmatschke name the factors instead of calling them the first and the second, and drop the sentence about how the table was computed, which the rigour details already say
2026-09-01 12:51 zeta3 with claude-fable-5 audit_table: the definition says what the object is and the ideal sum moves to the notation comment; the Bernoulli link went outside for what T13 and T49 hold
2026-09-01 12:45 zeta3 with claude-fable-5 zeta_K(s) at s = -1, -3, -5 for every real quadratic field with D <= 1000, from Bernoulli numbers in QQ, each checked against Siegel's formula and the functional equation
2026-09-01 12:45 zeta3 checking that this table can be written to
2026-09-01 12:44 zeta3 with claude-fable-5 zeta_K(s) at s = -1, -3, -5 for real quadratic fields, proposal 6 of BATCH-2026-08-31b: the document, before the numbers

What changed between 2026-09-01 12:45 and 2026-09-01 12:45

from line 154 (4533 lines, 4530 more than before) @@ -154,3 +154,4533 @@
 Display properties:   number-header: $\zeta_K(s)$-Numbers: []+Numbers:+- params:+    D: '5'+    s: '-1'+  number: 1/30+  comment: $\mathbb{Q}(\sqrt{5})$+- params:+    D: '5'+    s: '-3'+  number: 1/60+  comment: $\mathbb{Q}(\sqrt{5})$+- params:+    D: '5'+    s: '-5'+  number: 67/630+  comment: $\mathbb{Q}(\sqrt{5})$+- params:+    D: '8'+    s: '-1'+  number: 1/12+  comment: $\mathbb{Q}(\sqrt{2})$+- params:+    D: '8'+    s: '-3'+  number: 11/120+  comment: $\mathbb{Q}(\sqrt{2})$+- params:+    D: '8'+    s: '-5'+  number: 361/252+  comment: $\mathbb{Q}(\sqrt{2})$+- params:+    D: '12'+    s: '-1'+  number: 1/6+  comment: $\mathbb{Q}(\sqrt{3})$+- params:+    D: '12'+    s: '-3'+  number: 23/60+  comment: $\mathbb{Q}(\sqrt{3})$+- params:+    D: '12'+    s: '-5'+  number: 1681/126+  comment: $\mathbb{Q}(\sqrt{3})$+- params:+    D: '13'+    s: '-1'+  number: 1/6+  comment: $\mathbb{Q}(\sqrt{13})$+- params:+    D: '13'+    s: '-3'+  number: 29/60+  comment: $\mathbb{Q}(\sqrt{13})$+- params:+    D: '13'+    s: '-5'+  number: 33463/1638+  comment: $\mathbb{Q}(\sqrt{13})$+- params:+    D: '17'+    s: '-1'+  number: 1/3+  comment: $\mathbb{Q}(\sqrt{17})$+- params:+    D: '17'+    s: '-3'+  number: 41/30+  comment: $\mathbb{Q}(\sqrt{17})$+- params:+    D: '17'+    s: '-5'+  number: 5791/63+  comment: $\mathbb{Q}(\sqrt{17})$+- params:+    D: '21'+    s: '-1'+  number: 1/3+  comment: $\mathbb{Q}(\sqrt{21})$+- params:+    D: '21'+    s: '-3'+  number: 77/30+  comment: $\mathbb{Q}(\sqrt{21})$+- params:+    D: '21'+    s: '-5'+  number: 17971/63+  comment: $\mathbb{Q}(\sqrt{21})$+- params:+    D: '24'+    s: '-1'+  number: 1/2+  comment: $\mathbb{Q}(\sqrt{6})$+- params:+    D: '24'+    s: '-3'+  number: 87/20+  comment: $\mathbb{Q}(\sqrt{6})$+- params:+    D: '24'+    s: '-5'+  number: 3623/6+  comment: $\mathbb{Q}(\sqrt{6})$+- params:+    D: '28'+    s: '-1'+  number: 2/3+  comment: $\mathbb{Q}(\sqrt{7})$+- params:+    D: '28'+    s: '-3'+  number: 113/15+  comment: $\mathbb{Q}(\sqrt{7})$+- params:+    D: '28'+    s: '-5'+  number: 88922/63+  comment: $\mathbb{Q}(\sqrt{7})$+- params:+    D: '29'+    s: '-1'+  number: 1/2+  comment: $\mathbb{Q}(\sqrt{29})$+- params:+    D: '29'+    s: '-3'+  number: 157/20+  comment: $\mathbb{Q}(\sqrt{29})$+- params:+    D: '29'+    s: '-5'+  number: 23537/14+  comment: $\mathbb{Q}(\sqrt{29})$+- params:+    D: '33'+    s: '-1'+  number: '1'+  comment: $\mathbb{Q}(\sqrt{33})$+- params:+    D: '33'+    s: '-3'+  number: 141/10+  comment: $\mathbb{Q}(\sqrt{33})$+- params:+    D: '33'+    s: '-5'+  number: 74231/21+  comment: $\mathbb{Q}(\sqrt{33})$+- params:+    D: '37'+    s: '-1'+  number: 5/6+  comment: $\mathbb{Q}(\sqrt{37})$+- params:+    D: '37'+    s: '-3'+  number: 1129/60+  comment: $\mathbb{Q}(\sqrt{37})$+- params:+    D: '37'+    s: '-5'+  number: 115865/18+  comment: $\mathbb{Q}(\sqrt{37})$+- params:+    D: '40'+    s: '-1'+  number: 7/6+  comment: $\mathbb{Q}(\sqrt{10})$+- params:+    D: '40'+    s: '-3'+ 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'65'+    s: '-1'+  number: 8/3+  comment: $\mathbb{Q}(\sqrt{65})$+- params:+    D: '65'+    s: '-3'+  number: 2246/15+  comment: $\mathbb{Q}(\sqrt{65})$+- params:+    D: '65'+    s: '-5'+  number: 9254288/63+  comment: $\mathbb{Q}(\sqrt{65})$+- params:+    D: '69'+    s: '-1'+  number: '2'+  comment: $\mathbb{Q}(\sqrt{69})$+- params:+    D: '69'+    s: '-3'+  number: '165'+  comment: $\mathbb{Q}(\sqrt{69})$+- params:+    D: '69'+    s: '-5'+  number: 4158262/21+  comment: $\mathbb{Q}(\sqrt{69})$+- params:+    D: '73'+    s: '-1'+  number: 11/3+  comment: $\mathbb{Q}(\sqrt{73})$+- params:+    D: '73'+    s: '-3'+  number: 1379/6+  comment: $\mathbb{Q}(\sqrt{73})$+- params:+    D: '73'+    s: '-5'+  number: 2509883/9+  comment: $\mathbb{Q}(\sqrt{73})$+- params:+    D: '76'+    s: '-1'+  number: 19/6+  comment: $\mathbb{Q}(\sqrt{19})$+- params:+    D: '76'+    s: '-3'+  number: 14933/60+  comment: $\mathbb{Q}(\sqrt{19})$+- params:+    D: '76'+    s: '-5'+  number: 43171459/126+  comment: $\mathbb{Q}(\sqrt{19})$+- params:+    D: '77'+    s: '-1'+  number: '2'+  comment: $\mathbb{Q}(\sqrt{77})$+- params:+    D: '77'+    s: '-3'+  number: 1193/5+  comment: $\mathbb{Q}(\sqrt{77})$+- params:+    D: '77'+    s: '-5'+  number: 7590902/21+  comment: $\mathbb{Q}(\sqrt{77})$+- params:+    D: '85'+    s: '-1'+  number: '3'+  comment: $\mathbb{Q}(\sqrt{85})$+- params:+    D: '85'+    s: '-3'+  number: 3463/10+  comment: $\mathbb{Q}(\sqrt{85})$+- params:+    D: '85'+    s: '-5'+  number: 13110553/21+  comment: $\mathbb{Q}(\sqrt{85})$+- params:+    D: '88'+    s: '-1'+  number: 23/6+  comment: $\mathbb{Q}(\sqrt{22})$+- params:+    D: '88'+    s: '-3'+  number: 24889/60+  comment: $\mathbb{Q}(\sqrt{22})$+- params:+    D: '88'+    s: '-5'+  number: 96678263/126+  comment: $\mathbb{Q}(\sqrt{22})$+- params:+    D: '89'+    s: '-1'+  number: 13/3+  comment: $\mathbb{Q}(\sqrt{89})$+- params:+    D: '89'+    s: '-3'+  number: 2701/6+  comment: $\mathbb{Q}(\sqrt{89})$+- params:+    D: '89'+ 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$\mathbb{Q}(\sqrt{113})$+- params:+    D: '113'+    s: '-3'+  number: 5179/5+  comment: $\mathbb{Q}(\sqrt{113})$+- params:+    D: '113'+    s: '-5'+  number: 64580666/21+  comment: $\mathbb{Q}(\sqrt{113})$+- params:+    D: '120'+    s: '-1'+  number: 17/3+  comment: $\mathbb{Q}(\sqrt{30})$+- params:+    D: '120'+    s: '-3'+  number: 36451/30+  comment: $\mathbb{Q}(\sqrt{30})$+- params:+    D: '120'+    s: '-5'+  number: 265810697/63+  comment: $\mathbb{Q}(\sqrt{30})$+- params:+    D: '124'+    s: '-1'+  number: 20/3+  comment: $\mathbb{Q}(\sqrt{31})$+- params:+    D: '124'+    s: '-3'+  number: 20714/15+  comment: $\mathbb{Q}(\sqrt{31})$+- params:+    D: '124'+    s: '-5'+  number: 318795140/63+  comment: $\mathbb{Q}(\sqrt{31})$+- params:+    D: '129'+    s: '-1'+  number: 25/3+  comment: $\mathbb{Q}(\sqrt{129})$+- params:+    D: '129'+    s: '-3'+  number: 50117/30+  comment: $\mathbb{Q}(\sqrt{129})$+- params:+    D: '129'+    s: '-5'+  number: 401956255/63+  comment: $\mathbb{Q}(\sqrt{129})$+- params:+    D: '133'+    s: '-1'+  number: 17/3+  comment: $\mathbb{Q}(\sqrt{133})$+- params:+    D: '133'+    s: '-3'+  number: 49693/30+  comment: $\mathbb{Q}(\sqrt{133})$+- params:+    D: '133'+    s: '-5'+  number: 461414627/63+  comment: $\mathbb{Q}(\sqrt{133})$+- params:+    D: '136'+    s: '-1'+  number: 23/3+  comment: $\mathbb{Q}(\sqrt{34})$+- params:+    D: '136'+    s: '-3'+  number: 57241/30+  comment: $\mathbb{Q}(\sqrt{34})$+- params:+    D: '136'+    s: '-5'+  number: 529854263/63+  comment: $\mathbb{Q}(\sqrt{34})$+- params:+    D: '137'+    s: '-1'+  number: '8'+  comment: $\mathbb{Q}(\sqrt{137})$+- params:+    D: '137'+    s: '-3'+  number: 10162/5+  comment: $\mathbb{Q}(\sqrt{137})$+- params:+    D: '137'+    s: '-5'+  number: 62088736/7+  comment: $\mathbb{Q}(\sqrt{137})$+- params:+    D: '140'+    s: '-1'+  number: 19/3+  comment: $\mathbb{Q}(\sqrt{35})$+- params:+    D: '140'+    s: '-3'+  number: 61733/30+  comment: 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$\mathbb{Q}(\sqrt{38})$+- params:+    D: '152'+    s: '-3'+  number: 32867/12+  comment: $\mathbb{Q}(\sqrt{38})$+- params:+    D: '152'+    s: '-5'+  number: 1948118201/126+  comment: $\mathbb{Q}(\sqrt{38})$+- params:+    D: '156'+    s: '-1'+  number: 26/3+  comment: $\mathbb{Q}(\sqrt{39})$+- params:+    D: '156'+    s: '-3'+  number: 9145/3+  comment: $\mathbb{Q}(\sqrt{39})$+- params:+    D: '156'+    s: '-5'+  number: 160764638/9+  comment: $\mathbb{Q}(\sqrt{39})$+- params:+    D: '157'+    s: '-1'+  number: 43/6+  comment: $\mathbb{Q}(\sqrt{157})$+- params:+    D: '157'+    s: '-3'+  number: 177551/60+  comment: $\mathbb{Q}(\sqrt{157})$+- params:+    D: '157'+    s: '-5'+  number: 2298167953/126+  comment: $\mathbb{Q}(\sqrt{157})$+- params:+    D: '161'+    s: '-1'+  number: 32/3+  comment: $\mathbb{Q}(\sqrt{161})$+- params:+    D: '161'+    s: '-3'+  number: 10756/3+  comment: $\mathbb{Q}(\sqrt{161})$+- params:+    D: '161'+    s: '-5'+  number: 1357956752/63+  comment: $\mathbb{Q}(\sqrt{161})$+- params:+    D: '165'+    s: '-1'+  number: 22/3+  comment: $\mathbb{Q}(\sqrt{165})$+- params:+    D: '165'+    s: '-3'+  number: 52291/15+  comment: $\mathbb{Q}(\sqrt{165})$+- params:+    D: '165'+    s: '-5'+  number: 1508356882/63+  comment: $\mathbb{Q}(\sqrt{165})$+- params:+    D: '168'+    s: '-1'+  number: '9'+  comment: $\mathbb{Q}(\sqrt{42})$+- params:+    D: '168'+    s: '-3'+  number: 7875/2+  comment: $\mathbb{Q}(\sqrt{42})$+- params:+    D: '168'+    s: '-5'+  number: 187933043/7+  comment: $\mathbb{Q}(\sqrt{42})$+- params:+    D: '172'+    s: '-1'+  number: 21/2+  comment: $\mathbb{Q}(\sqrt{43})$+- params:+    D: '172'+    s: '-3'+  number: 86603/20+  comment: $\mathbb{Q}(\sqrt{43})$+- params:+    D: '172'+    s: '-5'+  number: 1285165781/42+  comment: $\mathbb{Q}(\sqrt{43})$+- params:+    D: '173'+    s: '-1'+  number: 13/2+  comment: $\mathbb{Q}(\sqrt{173})$+- params:+    D: '173'+    s: '-3'+  number: 81081/20+  comment: 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$\mathbb{Q}(\sqrt{197})$+- params:+    D: '201'+    s: '-1'+  number: 49/3+  comment: $\mathbb{Q}(\sqrt{201})$+- params:+    D: '201'+    s: '-3'+  number: 236669/30+  comment: $\mathbb{Q}(\sqrt{201})$+- params:+    D: '201'+    s: '-5'+  number: 4608016519/63+  comment: $\mathbb{Q}(\sqrt{201})$+- params:+    D: '204'+    s: '-1'+  number: '13'+  comment: $\mathbb{Q}(\sqrt{51})$+- params:+    D: '204'+    s: '-3'+  number: 15591/2+  comment: $\mathbb{Q}(\sqrt{51})$+- params:+    D: '204'+    s: '-5'+  number: 1640393453/21+  comment: $\mathbb{Q}(\sqrt{51})$+- params:+    D: '205'+    s: '-1'+  number: 34/3+  comment: $\mathbb{Q}(\sqrt{205})$+- params:+    D: '205'+    s: '-3'+  number: 113173/15+  comment: $\mathbb{Q}(\sqrt{205})$+- params:+    D: '205'+    s: '-5'+  number: 4984075174/63+  comment: $\mathbb{Q}(\sqrt{205})$+- params:+    D: '209'+    s: '-1'+  number: 47/3+  comment: $\mathbb{Q}(\sqrt{209})$+- params:+    D: '209'+    s: '-3'+  number: 268003/30+  comment: $\mathbb{Q}(\sqrt{209})$+- params:+    D: '209'+    s: '-5'+  number: 5703545177/63+  comment: $\mathbb{Q}(\sqrt{209})$+- params:+    D: '213'+    s: '-1'+  number: '10'+  comment: $\mathbb{Q}(\sqrt{213})$+- params:+    D: '213'+    s: '-3'+  number: 42501/5+  comment: $\mathbb{Q}(\sqrt{213})$+- params:+    D: '213'+    s: '-5'+  number: 2047735790/21+  comment: $\mathbb{Q}(\sqrt{213})$+- params:+    D: '217'+    s: '-1'+  number: 58/3+  comment: $\mathbb{Q}(\sqrt{217})$+- params:+    D: '217'+    s: '-3'+  number: 31241/3+  comment: $\mathbb{Q}(\sqrt{217})$+- params:+    D: '217'+    s: '-5'+  number: 7030856038/63+  comment: $\mathbb{Q}(\sqrt{217})$+- params:+    D: '220'+    s: '-1'+  number: 46/3+  comment: $\mathbb{Q}(\sqrt{55})$+- params:+    D: '220'+    s: '-3'+  number: 153847/15+  comment: $\mathbb{Q}(\sqrt{55})$+- params:+    D: '220'+    s: '-5'+  number: 7464304726/63+  comment: $\mathbb{Q}(\sqrt{55})$+- params:+    D: '221'+    s: '-1'+  number: 32/3+  comment: $\mathbb{Q}(\sqrt{221})$+- params:+    D: '221'+    s: '-3'+  number: 143876/15+  comment: $\mathbb{Q}(\sqrt{221})$+- params:+    D: '221'+    s: '-5'+  number: 7515061712/63+  comment: $\mathbb{Q}(\sqrt{221})$+- params:+    D: '229'+    s: '-1'+  number: 27/2+  comment: $\mathbb{Q}(\sqrt{229})$+- params:+    D: '229'+    s: '-3'+  number: 222503/20+  comment: $\mathbb{Q}(\sqrt{229})$+- params:+    D: '229'+    s: '-5'+  number: 6108899537/42+  comment: $\mathbb{Q}(\sqrt{229})$+- params:+    D: '232'+    s: '-1'+  number: 33/2+  comment: $\mathbb{Q}(\sqrt{58})$+- params:+    D: '232'+    s: '-3'+  number: 246839/20+  comment: $\mathbb{Q}(\sqrt{58})$+- params:+    D: '232'+    s: '-5'+  number: 6664029233/42+  comment: $\mathbb{Q}(\sqrt{58})$+- params:+    D: '233'+    s: '-1'+  number: 53/3+  comment: $\mathbb{Q}(\sqrt{233})$+- params:+    D: '233'+    s: '-3'+  number: 391129/30+  comment: $\mathbb{Q}(\sqrt{233})$+- params:+    D: '233'+    s: '-5'+  number: 10369299923/63+  comment: $\mathbb{Q}(\sqrt{233})$+- params:+    D: '236'+    s: '-1'+  number: 85/6+  comment: $\mathbb{Q}(\sqrt{59})$+- params:+    D: '236'+    s: '-3'+  number: 768827/60+  comment: $\mathbb{Q}(\sqrt{59})$+- params:+    D: '236'+    s: '-5'+  number: 21905188405/126+  comment: $\mathbb{Q}(\sqrt{59})$+- params:+    D: '237'+    s: '-1'+  number: 35/3+  comment: $\mathbb{Q}(\sqrt{237})$+- params:+    D: '237'+    s: '-3'+  number: 370519/30+  comment: $\mathbb{Q}(\sqrt{237})$+- params:+    D: '237'+    s: '-5'+  number: 11051543705/63+  comment: $\mathbb{Q}(\sqrt{237})$+- params:+    D: '241'+    s: '-1'+  number: 71/3+  comment: $\mathbb{Q}(\sqrt{241})$+- params:+    D: '241'+    s: '-3'+  number: 90443/6+  comment: $\mathbb{Q}(\sqrt{241})$+- params:+    D: '241'+    s: '-5'+  number: 12520598441/63+  comment: $\mathbb{Q}(\sqrt{241})$+- params:+    D: '248'+    s: '-1'+  number: '14'+  comment: $\mathbb{Q}(\sqrt{62})$+- params:+    D: '248'+    s: '-3'+  number: '15193'+  comment: $\mathbb{Q}(\sqrt{62})$+- params:+    D: '248'+    s: '-5'+  number: 4795214654/21+  comment: $\mathbb{Q}(\sqrt{62})$+- params:+    D: '249'+    s: '-1'+  number: '23'+  comment: $\mathbb{Q}(\sqrt{249})$+- params:+    D: '249'+    s: '-3'+  number: 167043/10+  comment: $\mathbb{Q}(\sqrt{249})$+- params:+    D: '249'+    s: '-5'+  number: 4987900033/21+  comment: $\mathbb{Q}(\sqrt{249})$+- params:+    D: '253'+    s: '-1'+  number: '15'+  comment: $\mathbb{Q}(\sqrt{253})$+- params:+    D: '253'+    s: '-3'+  number: 157307/10+  comment: $\mathbb{Q}(\sqrt{253})$+- params:+    D: '253'+    s: '-5'+  number: 754838795/3+  comment: $\mathbb{Q}(\sqrt{253})$+- params:+    D: '257'+    s: '-1'+  number: '20'+  comment: $\mathbb{Q}(\sqrt{257})$+- params:+    D: '257'+    s: '-3'+  number: '18362'+  comment: $\mathbb{Q}(\sqrt{257})$+- params:+    D: '257'+    s: '-5'+  number: 1975489220/7+  comment: $\mathbb{Q}(\sqrt{257})$+- params:+    D: '264'+    s: '-1'+  number: 56/3+  comment: $\mathbb{Q}(\sqrt{66})$+- params:+    D: '264'+    s: '-3'+  number: 288086/15+  comment: $\mathbb{Q}(\sqrt{66})$+- params:+    D: '264'+    s: '-5'+  number: 20319726416/63+  comment: $\mathbb{Q}(\sqrt{66})$+- params:+    D: '265'+    s: '-1'+  number: 80/3+  comment: $\mathbb{Q}(\sqrt{265})$+- params:+    D: '265'+    s: '-3'+  number: 314762/15+  comment: $\mathbb{Q}(\sqrt{265})$+- params:+    D: '265'+    s: '-5'+  number: 21103590920/63+  comment: $\mathbb{Q}(\sqrt{265})$+- params:+    D: '268'+    s: '-1'+  number: 41/2+  comment: $\mathbb{Q}(\sqrt{67})$+- params:+    D: '268'+    s: '-3'+  number: 408959/20+  comment: $\mathbb{Q}(\sqrt{67})$+- params:+    D: '268'+    s: '-5'+  number: 4911035827/14+  comment: $\mathbb{Q}(\sqrt{67})$+- params:+    D: '269'+    s: '-1'+  number: 83/6+  comment: $\mathbb{Q}(\sqrt{269})$+- params:+    D: '269'+    s: '-3'+  number: 1144087/60+  comment: $\mathbb{Q}(\sqrt{269})$+- params:+    D: '269'+    s: '-5'+  number: 44303218313/126+  comment: $\mathbb{Q}(\sqrt{269})$+- params:+    D: '273'+    s: '-1'+  number: 74/3+  comment: $\mathbb{Q}(\sqrt{273})$+- params:+    D: '273'+    s: '-3'+  number: 344597/15+  comment: $\mathbb{Q}(\sqrt{273})$+- params:+    D: '273'+    s: '-5'+  number: 24818669654/63+  comment: $\mathbb{Q}(\sqrt{273})$+- params:+    D: '277'+    s: '-1'+  number: 103/6+  comment: $\mathbb{Q}(\sqrt{277})$+- params:+    D: '277'+    s: '-3'+  number: 1296131/60+  comment: $\mathbb{Q}(\sqrt{277})$+- params:+    D: '277'+    s: '-5'+  number: 52189035253/126+  comment: $\mathbb{Q}(\sqrt{277})$+- params:+    D: '280'+    s: '-1'+  number: 67/3+  comment: $\mathbb{Q}(\sqrt{70})$+- params:+    D: '280'+    s: '-3'+  number: 143185/6+  comment: $\mathbb{Q}(\sqrt{70})$+- params:+    D: '280'+    s: '-5'+  number: 28121438227/63+  comment: $\mathbb{Q}(\sqrt{70})$+- params:+    D: '281'+    s: '-1'+  number: '25'+  comment: $\mathbb{Q}(\sqrt{281})$+- params:+    D: '281'+    s: '-3'+  number: 251933/10+  comment: $\mathbb{Q}(\sqrt{281})$+- params:+    D: '281'+    s: '-5'+  number: 9685249135/21+  comment: $\mathbb{Q}(\sqrt{281})$+- params:+    D: '284'+    s: '-1'+  number: 58/3+  comment: $\mathbb{Q}(\sqrt{71})$+- params:+    D: '284'+    s: '-3'+  number: 367741/15+  comment: $\mathbb{Q}(\sqrt{71})$+- params:+    D: '284'+    s: '-5'+  number: 30322094578/63+  comment: $\mathbb{Q}(\sqrt{71})$+- params:+    D: '285'+    s: '-1'+  number: '16'+  comment: $\mathbb{Q}(\sqrt{285})$+- params:+    D: '285'+    s: '-3'+  number: 117948/5+  comment: $\mathbb{Q}(\sqrt{285})$+- params:+    D: '285'+    s: '-5'+  number: 10159218656/21+  comment: $\mathbb{Q}(\sqrt{285})$+- params:+    D: '293'+    s: '-1'+  number: 85/6+  comment: $\mathbb{Q}(\sqrt{293})$+- params:+    D: '293'+    s: '-3'+  number: 1537769/60+  comment: $\mathbb{Q}(\sqrt{293})$+- params:+    D: '293'+    s: '-5'+  number: 70878320575/126+  comment: $\mathbb{Q}(\sqrt{293})$+- params:+    D: '296'+    s: '-1'+  number: 41/2+  comment: $\mathbb{Q}(\sqrt{74})$+- params:+    D: '296'+    s: '-3'+  number: 566711/20+  comment: $\mathbb{Q}(\sqrt{74})$+- params:+    D: '296'+    s: '-5'+  number: 1208653701/2+  comment: $\mathbb{Q}(\sqrt{74})$+- params:+    D: '301'+    s: '-1'+  number: 62/3+  comment: $\mathbb{Q}(\sqrt{301})$+- params:+    D: '301'+    s: '-3'+  number: 434639/15+  comment: $\mathbb{Q}(\sqrt{301})$+- params:+    D: '301'+    s: '-5'+  number: 41217199082/63+  comment: $\mathbb{Q}(\sqrt{301})$+- params:+    D: '305'+    s: '-1'+  number: 82/3+  comment: $\mathbb{Q}(\sqrt{305})$+- params:+    D: '305'+    s: '-3'+  number: 502651/15+  comment: $\mathbb{Q}(\sqrt{305})$+- params:+    D: '305'+    s: '-5'+  number: 45600398182/63+  comment: $\mathbb{Q}(\sqrt{305})$+- params:+    D: '309'+    s: '-1'+  number: 59/3+  comment: $\mathbb{Q}(\sqrt{309})$+- params:+    D: '309'+    s: '-3'+  number: 941551/30+  comment: $\mathbb{Q}(\sqrt{309})$+- params:+    D: '309'+    s: '-5'+  number: 47549078369/63+  comment: $\mathbb{Q}(\sqrt{309})$+- params:+    D: '312'+    s: '-1'+  number: '23'+  comment: $\mathbb{Q}(\sqrt{78})$+- params:+    D: '312'+    s: '-3'+  number: 343821/10+  comment: $\mathbb{Q}(\sqrt{78})$+- params:+    D: '312'+    s: '-5'+  number: 16973725423/21+  comment: $\mathbb{Q}(\sqrt{78})$+- params:+    D: '313'+    s: '-1'+  number: 100/3+  comment: $\mathbb{Q}(\sqrt{313})$+- params:+    D: '313'+    s: '-3'+  number: 562816/15+  comment: $\mathbb{Q}(\sqrt{313})$+- params:+    D: '313'+    s: '-5'+  number: 52719381700/63+  comment: $\mathbb{Q}(\sqrt{313})$+- params:+    D: '316'+    s: '-1'+  number: '28'+  comment: $\mathbb{Q}(\sqrt{79})$+- params:+    D: '316'+    s: '-3'+  number: 182558/5+  comment: $\mathbb{Q}(\sqrt{79})$+- params:+    D: '316'+    s: '-5'+  number: 6077653476/7+  comment: $\mathbb{Q}(\sqrt{79})$+- params:+    D: '317'+    s: '-1'+  number: 101/6+  comment: $\mathbb{Q}(\sqrt{317})$+- params:+    D: '317'+    s: '-3'+  number: 2027569/60+  comment: $\mathbb{Q}(\sqrt{317})$+- params:+    D: '317'+    s: '-5'+  number: 109288708031/126+  comment: $\mathbb{Q}(\sqrt{317})$+- params:+    D: '321'+    s: '-1'+  number: '33'+  comment: $\mathbb{Q}(\sqrt{321})$+- params:+    D: '321'+    s: '-3'+  number: 406053/10+  comment: $\mathbb{Q}(\sqrt{321})$+- params:+    D: '321'+    s: '-5'+  number: 6721568141/7+  comment: $\mathbb{Q}(\sqrt{321})$+- params:+    D: '328'+    s: '-1'+  number: '27'+  comment: $\mathbb{Q}(\sqrt{82})$+- params:+    D: '328'+    s: '-3'+  number: 82877/2+  comment: $\mathbb{Q}(\sqrt{82})$+- params:+    D: '328'+    s: '-5'+  number: 22378033507/21+  comment: $\mathbb{Q}(\sqrt{82})$+- params:+    D: '329'+    s: '-1'+  number: 94/3+  comment: $\mathbb{Q}(\sqrt{329})$+- params:+    D: '329'+    s: '-3'+  number: 656047/15+  comment: $\mathbb{Q}(\sqrt{329})$+- params:+    D: '329'+    s: '-5'+  number: 69170545474/63+  comment: $\mathbb{Q}(\sqrt{329})$+- params:+    D: '332'+    s: '-1'+  number: 43/2+  comment: $\mathbb{Q}(\sqrt{83})$+- params:+    D: '332'+    s: '-3'+  number: 843437/20+  comment: $\mathbb{Q}(\sqrt{83})$+- params:+    D: '332'+    s: '-5'+  number: 47710406203/42+  comment: $\mathbb{Q}(\sqrt{83})$+- params:+    D: '337'+    s: '-1'+  number: '38'+  comment: $\mathbb{Q}(\sqrt{337})$+- params:+    D: '337'+    s: '-3'+  number: 243131/5+  comment: $\mathbb{Q}(\sqrt{337})$+- params:+    D: '337'+    s: '-5'+  number: 3769020374/3+  comment: $\mathbb{Q}(\sqrt{337})$+- params:+    D: '341'+    s: '-1'+  number: 59/3+  comment: $\mathbb{Q}(\sqrt{341})$+- params:+    D: '341'+    s: '-3'+  number: 1311943/30+  comment: $\mathbb{Q}(\sqrt{341})$+- params:+    D: '341'+    s: '-5'+  number: 81642559409/63+  comment: $\mathbb{Q}(\sqrt{341})$+- params:+    D: '344'+    s: '-1'+  number: 155/6+  comment: $\mathbb{Q}(\sqrt{86})$+- params:+    D: '344'+    s: '-3'+  number: 2877061/60+  comment: $\mathbb{Q}(\sqrt{86})$+- params:+    D: '344'+    s: '-5'+  number: 174024256475/126+  comment: $\mathbb{Q}(\sqrt{86})$+- params:+    D: '345'+    s: '-1'+  number: 110/3+  comment: $\mathbb{Q}(\sqrt{345})$+- params:+    D: '345'+    s: '-3'+  number: 783347/15+  comment: $\mathbb{Q}(\sqrt{345})$+- params:+    D: '345'+    s: '-5'+  number: 89933253890/63+  comment: $\mathbb{Q}(\sqrt{345})$+- params:+    D: '348'+    s: '-1'+  number: '26'+  comment: $\mathbb{Q}(\sqrt{87})$+- params:+    D: '348'+    s: '-3'+  number: 251709/5+  comment: $\mathbb{Q}(\sqrt{87})$+- params:+    D: '348'+    s: '-5'+  number: 30946035346/21+  comment: $\mathbb{Q}(\sqrt{87})$+- params:+    D: '349'+    s: '-1'+  number: 151/6+  comment: $\mathbb{Q}(\sqrt{349})$+- params:+    D: '349'+    s: '-3'+  number: 2916539/60+  comment: $\mathbb{Q}(\sqrt{349})$+- params:+    D: '349'+    s: '-5'+  number: 186006641461/126+  comment: $\mathbb{Q}(\sqrt{349})$+- params:+    D: '353'+    s: '-1'+  number: '32'+  comment: $\mathbb{Q}(\sqrt{353})$+- params:+    D: '353'+    s: '-3'+  number: 278812/5+  comment: $\mathbb{Q}(\sqrt{353})$+- params:+    D: '353'+    s: '-5'+  number: 11318873424/7+  comment: $\mathbb{Q}(\sqrt{353})$+- params:+    D: '357'+    s: '-1'+  number: '22'+  comment: $\mathbb{Q}(\sqrt{357})$+- params:+    D: '357'+    s: '-3'+  number: 259167/5+  comment: $\mathbb{Q}(\sqrt{357})$+- params:+    D: '357'+    s: '-5'+  number: 35064281762/21+  comment: $\mathbb{Q}(\sqrt{357})$+- params:+    D: '364'+    s: '-1'+  number: 103/3+  comment: $\mathbb{Q}(\sqrt{91})$+- params:+    D: '364'+    s: '-3'+  number: 1796249/30+  comment: $\mathbb{Q}(\sqrt{91})$+- params:+    D: '364'+    s: '-5'+  number: 119056691623/63+  comment: $\mathbb{Q}(\sqrt{91})$+- params:+    D: '365'+    s: '-1'+  number: 65/3+  comment: $\mathbb{Q}(\sqrt{365})$+- params:+    D: '365'+    s: '-3'+  number: 1663189/30+  comment: $\mathbb{Q}(\sqrt{365})$+- params:+    D: '365'+    s: '-5'+  number: 118674562595/63+  comment: $\mathbb{Q}(\sqrt{365})$+- params:+    D: '373'+    s: '-1'+  number: 161/6+  comment: $\mathbb{Q}(\sqrt{373})$+- params:+    D: '373'+    s: '-3'+  number: 3672421/60+  comment: $\mathbb{Q}(\sqrt{373})$+- params:+    D: '373'+    s: '-5'+  number: 268126121891/126+  comment: $\mathbb{Q}(\sqrt{373})$+- params:+    D: '376'+    s: '-1'+  number: 106/3+  comment: $\mathbb{Q}(\sqrt{94})$+- params:+    D: '376'+    s: '-3'+  number: 1005607/15+  comment: $\mathbb{Q}(\sqrt{94})$+- params:+    D: '376'+    s: '-5'+  number: 142306683706/63+  comment: $\mathbb{Q}(\sqrt{94})$+- params:+    D: '377'+    s: '-1'+  number: 106/3+  comment: $\mathbb{Q}(\sqrt{377})$+- params:+    D: '377'+    s: '-3'+  number: 1052983/15+  comment: $\mathbb{Q}(\sqrt{377})$+- params:+    D: '377'+    s: '-5'+  number: 146272375246/63+  comment: $\mathbb{Q}(\sqrt{377})$+- params:+    D: '380'+    s: '-1'+  number: 86/3+  comment: $\mathbb{Q}(\sqrt{95})$+- params:+    D: '380'+    s: '-3'+  number: 1017299/15+  comment: $\mathbb{Q}(\sqrt{95})$+- params:+    D: '380'+    s: '-5'+  number: 150414606206/63+  comment: $\mathbb{Q}(\sqrt{95})$+- params:+    D: '381'+    s: '-1'+  number: 77/3+  comment: $\mathbb{Q}(\sqrt{381})$+- params:+    D: '381'+    s: '-3'+  number: 1957993/30+  comment: $\mathbb{Q}(\sqrt{381})$+- params:+    D: '381'+    s: '-5'+  number: 150470016407/63+  comment: $\mathbb{Q}(\sqrt{381})$+- params:+    D: '385'+    s: '-1'+  number: 142/3+  comment: $\mathbb{Q}(\sqrt{385})$+- params:+    D: '385'+    s: '-3'+  number: 1163827/15+  comment: $\mathbb{Q}(\sqrt{385})$+- params:+    D: '385'+    s: '-5'+  number: 164642337442/63+  comment: $\mathbb{Q}(\sqrt{385})$+- params:+    D: '389'+    s: '-1'+  number: 151/6+  comment: $\mathbb{Q}(\sqrt{389})$+- params:+    D: '389'+    s: '-3'+  number: 4164131/60+  comment: $\mathbb{Q}(\sqrt{389})$+- params:+    D: '389'+    s: '-5'+  number: 336920916901/126+  comment: $\mathbb{Q}(\sqrt{389})$+- params:+    D: '393'+    s: '-1'+  number: '43'+  comment: $\mathbb{Q}(\sqrt{393})$+- params:+    D: '393'+    s: '-3'+  number: 822543/10+  comment: $\mathbb{Q}(\sqrt{393})$+- params:+    D: '393'+    s: '-5'+  number: 61365600893/21+  comment: $\mathbb{Q}(\sqrt{393})$+- params:+    D: '397'+    s: '-1'+  number: 57/2+  comment: $\mathbb{Q}(\sqrt{397})$+- params:+    D: '397'+    s: '-3'+  number: 1521541/20+  comment: $\mathbb{Q}(\sqrt{397})$+- params:+    D: '397'+    s: '-5'+  number: 125938930267/42+  comment: $\mathbb{Q}(\sqrt{397})$+- params:+    D: '401'+    s: '-1'+  number: '43'+  comment: $\mathbb{Q}(\sqrt{401})$+- params:+    D: '401'+    s: '-3'+  number: 174943/2+  comment: $\mathbb{Q}(\sqrt{401})$+- params:+    D: '401'+    s: '-5'+  number: 68473186693/21+  comment: $\mathbb{Q}(\sqrt{401})$+- params:+    D: '408'+    s: '-1'+  number: 103/3+  comment: $\mathbb{Q}(\sqrt{102})$+- params:+    D: '408'+    s: '-3'+  number: 2637641/30+  comment: $\mathbb{Q}(\sqrt{102})$+- params:+    D: '408'+    s: '-5'+  number: 222678863623/63+  comment: $\mathbb{Q}(\sqrt{102})$+- params:+    D: '409'+    s: '-1'+  number: 158/3+  comment: $\mathbb{Q}(\sqrt{409})$+- params:+    D: '409'+    s: '-3'+  number: 1439789/15+  comment: $\mathbb{Q}(\sqrt{409})$+- params:+    D: '409'+    s: '-5'+  number: 229619933738/63+  comment: $\mathbb{Q}(\sqrt{409})$+- params:+    D: '412'+    s: '-1'+  number: '38'+  comment: $\mathbb{Q}(\sqrt{103})$+- params:+    D: '412'+    s: '-3'+  number: 460211/5+  comment: $\mathbb{Q}(\sqrt{103})$+- params:+    D: '412'+    s: '-5'+  number: 78424269038/21+  comment: $\mathbb{Q}(\sqrt{103})$+- params:+    D: '413'+    s: '-1'+  number: 73/3+  comment: $\mathbb{Q}(\sqrt{413})$+- params:+    D: '413'+    s: '-3'+  number: 2557709/30+  comment: $\mathbb{Q}(\sqrt{413})$+- params:+    D: '413'+    s: '-5'+  number: 234121140763/63+  comment: $\mathbb{Q}(\sqrt{413})$+- params:+    D: '417'+    s: '-1'+  number: '47'+  comment: $\mathbb{Q}(\sqrt{417})$+- params:+    D: '417'+    s: '-3'+  number: 1012187/10+  comment: $\mathbb{Q}(\sqrt{417})$+- params:+    D: '417'+    s: '-5'+  number: '4048507717'+  comment: $\mathbb{Q}(\sqrt{417})$+- params:+    D: '421'+    s: '-1'+  number: 209/6+  comment: $\mathbb{Q}(\sqrt{421})$+- params:+    D: '421'+    s: '-3'+  number: 5628277/60+  comment: $\mathbb{Q}(\sqrt{421})$+- params:+    D: '421'+    s: '-5'+  number: 521852750579/126+  comment: $\mathbb{Q}(\sqrt{421})$+- params:+    D: '424'+    s: '-1'+  number: 87/2+  comment: $\mathbb{Q}(\sqrt{106})$+- params:+    D: '424'+    s: '-3'+  number: 2043257/20+  comment: $\mathbb{Q}(\sqrt{106})$+- params:+    D: '424'+    s: '-5'+  number: 183704720567/42+  comment: $\mathbb{Q}(\sqrt{106})$+- params:+    D: '428'+    s: '-1'+  number: 197/6+  comment: $\mathbb{Q}(\sqrt{107})$+- params:+    D: '428'+    s: '-3'+  number: 1232111/12+  comment: $\mathbb{Q}(\sqrt{107})$+- params:+    D: '428'+    s: '-5'+  number: 578659579877/126+  comment: $\mathbb{Q}(\sqrt{107})$+- params:+    D: '429'+    s: '-1'+  number: '32'+  comment: $\mathbb{Q}(\sqrt{429})$+- params:+    D: '429'+    s: '-3'+  number: 494772/5+  comment: $\mathbb{Q}(\sqrt{429})$+- params:+    D: '429'+    s: '-5'+  number: 96330545872/21+  comment: $\mathbb{Q}(\sqrt{429})$+- params:+    D: '433'+    s: '-1'+  number: 163/3+  comment: $\mathbb{Q}(\sqrt{433})$+- params:+    D: '433'+    s: '-3'+  number: 701023/6+  comment: $\mathbb{Q}(\sqrt{433})$+- params:+    D: '433'+    s: '-5'+  number: 44880931099/9+  comment: $\mathbb{Q}(\sqrt{433})$+- params:+    D: '437'+    s: '-1'+  number: 77/3+  comment: $\mathbb{Q}(\sqrt{437})$+- params:+    D: '437'+    s: '-3'+  number: 3115321/30+  comment: $\mathbb{Q}(\sqrt{437})$+- params:+    D: '437'+    s: '-5'+  number: 319418002487/63+  comment: $\mathbb{Q}(\sqrt{437})$+- params:+    D: '440'+    s: '-1'+  number: 103/3+  comment: $\mathbb{Q}(\sqrt{110})$+- params:+    D: '440'+    s: '-3'+  number: 3395981/30+  comment: $\mathbb{Q}(\sqrt{110})$+- params:+    D: '440'+    s: '-5'+  number: 336870250783/63+  comment: $\mathbb{Q}(\sqrt{110})$+- params:+    D: '444'+    s: '-1'+  number: 122/3+  comment: $\mathbb{Q}(\sqrt{111})$+- params:+    D: '444'+    s: '-3'+  number: 1777253/15+  comment: $\mathbb{Q}(\sqrt{111})$+- params:+    D: '444'+    s: '-5'+  number: 354570549842/63+  comment: $\mathbb{Q}(\sqrt{111})$+- params:+    D: '445'+    s: '-1'+  number: 110/3+  comment: $\mathbb{Q}(\sqrt{445})$+- params:+    D: '445'+    s: '-3'+  number: 1705751/15+  comment: $\mathbb{Q}(\sqrt{445})$+- params:+    D: '445'+    s: '-5'+  number: 353931215930/63+  comment: $\mathbb{Q}(\sqrt{445})$+- params:+    D: '449'+    s: '-1'+  number: '51'+  comment: $\mathbb{Q}(\sqrt{449})$+- params:+    D: '449'+    s: '-3'+  number: 1299347/10+  comment: $\mathbb{Q}(\sqrt{449})$+- params:+    D: '449'+    s: '-5'+  number: 18217271483/3+  comment: $\mathbb{Q}(\sqrt{449})$+- params:+    D: '453'+    s: '-1'+  number: 91/3+  comment: $\mathbb{Q}(\sqrt{453})$+- params:+    D: '453'+    s: '-3'+  number: 715363/6+  comment: $\mathbb{Q}(\sqrt{453})$+- params:+    D: '453'+    s: '-5'+  number: 389804584321/63+  comment: $\mathbb{Q}(\sqrt{453})$+- params:+    D: '456'+    s: '-1'+  number: '44'+  comment: $\mathbb{Q}(\sqrt{114})$+- params:+    D: '456'+    s: '-3'+  number: '130188'+  comment: $\mathbb{Q}(\sqrt{114})$+- params:+    D: '456'+    s: '-5'+  number: 136863997444/21+  comment: $\mathbb{Q}(\sqrt{114})$+- params:+    D: '457'+    s: '-1'+  number: '60'+  comment: $\mathbb{Q}(\sqrt{457})$+- params:+    D: '457'+    s: '-3'+  number: '141208'+  comment: $\mathbb{Q}(\sqrt{457})$+- params:+    D: '457'+    s: '-5'+  number: 140896772860/21+  comment: $\mathbb{Q}(\sqrt{457})$+- params:+    D: '460'+    s: '-1'+  number: 139/3+  comment: $\mathbb{Q}(\sqrt{115})$+- params:+    D: '460'+    s: '-3'+  number: 813433/6+  comment: $\mathbb{Q}(\sqrt{115})$+- params:+    D: '460'+    s: '-5'+  number: 431352932539/63+  comment: $\mathbb{Q}(\sqrt{115})$+- params:+    D: '461'+    s: '-1'+  number: 61/2+  comment: $\mathbb{Q}(\sqrt{461})$+- params:+    D: '461'+    s: '-3'+  number: 2512377/20+  comment: $\mathbb{Q}(\sqrt{461})$+- params:+    D: '461'+    s: '-5'+  number: 285779422631/42+  comment: $\mathbb{Q}(\sqrt{461})$+- params:+    D: '465'+    s: '-1'+  number: '56'+  comment: $\mathbb{Q}(\sqrt{465})$+- params:+    D: '465'+    s: '-3'+  number: 741696/5+  comment: $\mathbb{Q}(\sqrt{465})$+- params:+    D: '465'+    s: '-5'+  number: 22114648648/3+  comment: $\mathbb{Q}(\sqrt{465})$+- params:+    D: '469'+    s: '-1'+  number: '40'+  comment: $\mathbb{Q}(\sqrt{469})$+- params:+    D: '469'+    s: '-3'+  number: 684064/5+  comment: $\mathbb{Q}(\sqrt{469})$+- params:+    D: '469'+    s: '-5'+  number: 157504078600/21+  comment: $\mathbb{Q}(\sqrt{469})$+- params:+    D: '472'+    s: '-1'+  number: 277/6+  comment: $\mathbb{Q}(\sqrt{118})$+- params:+    D: '472'+    s: '-3'+  number: 8886779/60+  comment: $\mathbb{Q}(\sqrt{118})$+- params:+    D: '472'+    s: '-5'+  number: 993911159797/126+  comment: $\mathbb{Q}(\sqrt{118})$+- params:+    D: '473'+    s: '-1'+  number: '51'+  comment: $\mathbb{Q}(\sqrt{473})$+- params:+    D: '473'+    s: '-3'+  number: 310811/2+  comment: $\mathbb{Q}(\sqrt{473})$+- params:+    D: '473'+    s: '-5'+  number: 169787985301/21+  comment: $\mathbb{Q}(\sqrt{473})$+- params:+    D: '476'+    s: '-1'+  number: 124/3+  comment: $\mathbb{Q}(\sqrt{119})$+- params:+    D: '476'+    s: '-3'+  number: 2240686/15+  comment: $\mathbb{Q}(\sqrt{119})$+- params:+    D: '476'+    s: '-5'+  number: 519209834764/63+  comment: $\mathbb{Q}(\sqrt{119})$+- params:+    D: '481'+    s: '-1'+  number: 202/3+  comment: $\mathbb{Q}(\sqrt{481})$+- params:+    D: '481'+    s: '-3'+  number: 2539711/15+  comment: $\mathbb{Q}(\sqrt{481})$+- params:+    D: '481'+    s: '-5'+  number: 560182298062/63+  comment: $\mathbb{Q}(\sqrt{481})$+- params:+    D: '485'+    s: '-1'+  number: 101/3+  comment: $\mathbb{Q}(\sqrt{485})$+- params:+    D: '485'+    s: '-3'+  number: 4498513/30+  comment: $\mathbb{Q}(\sqrt{485})$+- params:+    D: '485'+    s: '-5'+  number: 566665700351/63+  comment: $\mathbb{Q}(\sqrt{485})$+- params:+    D: '488'+    s: '-1'+  number: 77/2+  comment: $\mathbb{Q}(\sqrt{122})$+- params:+    D: '488'+    s: '-3'+  number: 3247739/20+  comment: $\mathbb{Q}(\sqrt{122})$+- params:+    D: '488'+    s: '-5'+  number: 132294520319/14+  comment: $\mathbb{Q}(\sqrt{122})$+- params:+    D: '489'+    s: '-1'+  number: 187/3+  comment: $\mathbb{Q}(\sqrt{489})$+- params:+    D: '489'+    s: '-3'+  number: 1063099/6+  comment: $\mathbb{Q}(\sqrt{489})$+- params:+    D: '489'+    s: '-5'+  number: 612540009757/63+  comment: $\mathbb{Q}(\sqrt{489})$+- params:+    D: '492'+    s: '-1'+  number: '45'+  comment: $\mathbb{Q}(\sqrt{123})$+- params:+    D: '492'+    s: '-3'+  number: 1692819/10+  comment: $\mathbb{Q}(\sqrt{123})$+- params:+    D: '492'+    s: '-5'+  number: '9897263865'+  comment: $\mathbb{Q}(\sqrt{123})$+- params:+    D: '493'+    s: 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'-5'+  number: 34865367136/3+  comment: $\mathbb{Q}(\sqrt{505})$+- params:+    D: '508'+    s: '-1'+  number: 160/3+  comment: $\mathbb{Q}(\sqrt{127})$+- params:+    D: '508'+    s: '-3'+  number: 575168/3+  comment: $\mathbb{Q}(\sqrt{127})$+- params:+    D: '508'+    s: '-5'+  number: 744550843360/63+  comment: $\mathbb{Q}(\sqrt{127})$+- params:+    D: '509'+    s: '-1'+  number: 215/6+  comment: $\mathbb{Q}(\sqrt{509})$+- params:+    D: '509'+    s: '-3'+  number: 2132303/12+  comment: $\mathbb{Q}(\sqrt{509})$+- params:+    D: '509'+    s: '-5'+  number: 1478241518165/126+  comment: $\mathbb{Q}(\sqrt{509})$+- params:+    D: '517'+    s: '-1'+  number: 127/3+  comment: $\mathbb{Q}(\sqrt{517})$+- params:+    D: '517'+    s: '-3'+  number: 5752043/30+  comment: $\mathbb{Q}(\sqrt{517})$+- params:+    D: '517'+    s: '-5'+  number: 807423503197/63+  comment: $\mathbb{Q}(\sqrt{517})$+- params:+    D: '520'+    s: '-1'+  number: 173/3+  comment: $\mathbb{Q}(\sqrt{130})$+- params:+    D: '520'+    s: '-3'+  number: 1250387/6+  comment: $\mathbb{Q}(\sqrt{130})$+- params:+    D: '520'+    s: '-5'+  number: 846623857973/63+  comment: $\mathbb{Q}(\sqrt{130})$+- params:+    D: '521'+    s: '-1'+  number: '62'+  comment: $\mathbb{Q}(\sqrt{521})$+- params:+    D: '521'+    s: '-3'+  number: 1092529/5+  comment: $\mathbb{Q}(\sqrt{521})$+- params:+    D: '521'+    s: '-5'+  number: 96317568894/7+  comment: $\mathbb{Q}(\sqrt{521})$+- params:+    D: '524'+    s: '-1'+  number: 93/2+  comment: $\mathbb{Q}(\sqrt{131})$+- params:+    D: '524'+    s: '-3'+  number: 4179659/20+  comment: $\mathbb{Q}(\sqrt{131})$+- params:+    D: '524'+    s: '-5'+  number: 587126213453/42+  comment: $\mathbb{Q}(\sqrt{131})$+- params:+    D: '533'+    s: '-1'+  number: '37'+  comment: $\mathbb{Q}(\sqrt{533})$+- params:+    D: '533'+    s: '-3'+  number: 2082969/10+  comment: $\mathbb{Q}(\sqrt{533})$+- params:+    D: '533'+    s: '-5'+  number: 317393374127/21+  comment: $\mathbb{Q}(\sqrt{533})$+- params:+    D: '536'+    s: '-1'+  number: 301/6+  comment: $\mathbb{Q}(\sqrt{134})$+- params:+    D: '536'+    s: '-3'+  number: 2716927/12+  comment: $\mathbb{Q}(\sqrt{134})$+- params:+    D: '536'+    s: '-5'+  number: 1995006904861/126+  comment: $\mathbb{Q}(\sqrt{134})$+- params:+    D: '537'+    s: '-1'+  number: '67'+  comment: $\mathbb{Q}(\sqrt{537})$+- params:+    D: '537'+    s: '-3'+  number: 490251/2+  comment: $\mathbb{Q}(\sqrt{537})$+- params:+    D: '537'+    s: '-5'+  number: 341678478917/21+  comment: $\mathbb{Q}(\sqrt{537})$+- params:+    D: '541'+    s: '-1'+  number: 301/6+  comment: $\mathbb{Q}(\sqrt{541})$+- params:+    D: '541'+    s: '-3'+  number: 2707381/12+  comment: $\mathbb{Q}(\sqrt{541})$+- params:+    D: '541'+    s: '-5'+  number: 2072912194231/126+  comment: $\mathbb{Q}(\sqrt{541})$+- params:+    D: '545'+    s: '-1'+  number: 190/3+  comment: $\mathbb{Q}(\sqrt{545})$+- params:+    D: '545'+    s: '-3'+  number: 3830617/15+  comment: $\mathbb{Q}(\sqrt{545})$+- params:+    D: '545'+    s: '-5'+  number: 1110434795290/63+  comment: $\mathbb{Q}(\sqrt{545})$+- params:+    D: '552'+    s: '-1'+  number: 154/3+  comment: $\mathbb{Q}(\sqrt{138})$+- params:+    D: '552'+    s: '-3'+  number: 3795319/15+  comment: $\mathbb{Q}(\sqrt{138})$+- params:+    D: '552'+    s: '-5'+  number: 1174100237194/63+  comment: $\mathbb{Q}(\sqrt{138})$+- params:+    D: '553'+    s: '-1'+  number: 238/3+  comment: $\mathbb{Q}(\sqrt{553})$+- params:+    D: '553'+    s: '-3'+  number: 4127203/15+  comment: $\mathbb{Q}(\sqrt{553})$+- params:+    D: '553'+    s: '-5'+  number: 1206335775298/63+  comment: $\mathbb{Q}(\sqrt{553})$+- params:+    D: '556'+    s: '-1'+  number: 127/2+  comment: $\mathbb{Q}(\sqrt{139})$+- params:+    D: '556'+    s: '-3'+  number: 1054381/4+  comment: $\mathbb{Q}(\sqrt{139})$+- params:+    D: '556'+    s: '-5'+  number: 815665752127/42+  comment: $\mathbb{Q}(\sqrt{139})$+- params:+    D: '557'+    s: '-1'+  number: 233/6+  comment: $\mathbb{Q}(\sqrt{557})$+- params:+    D: '557'+    s: '-3'+  number: 14578597/60+  comment: $\mathbb{Q}(\sqrt{557})$+- params:+    D: '557'+    s: '-5'+  number: 2426344601483/126+  comment: $\mathbb{Q}(\sqrt{557})$+- params:+    D: '561'+    s: '-1'+  number: 236/3+  comment: $\mathbb{Q}(\sqrt{561})$+- params:+    D: '561'+    s: '-3'+  number: 4301582/15+  comment: $\mathbb{Q}(\sqrt{561})$+- params:+    D: '561'+    s: '-5'+  number: 1303882903796/63+  comment: $\mathbb{Q}(\sqrt{561})$+- params:+    D: '565'+    s: '-1'+  number: 151/3+  comment: $\mathbb{Q}(\sqrt{565})$+- params:+    D: '565'+    s: '-3'+  number: 7860947/30+  comment: $\mathbb{Q}(\sqrt{565})$+- params:+    D: '565'+    s: '-5'+  number: 1315823823301/63+  comment: $\mathbb{Q}(\sqrt{565})$+- params:+    D: '568'+    s: '-1'+  number: '63'+  comment: $\mathbb{Q}(\sqrt{142})$+- params:+    D: '568'+    s: '-3'+  number: 2833781/10+  comment: $\mathbb{Q}(\sqrt{142})$+- params:+    D: '568'+    s: 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'577'+    s: '-3'+  number: 4786957/15+  comment: $\mathbb{Q}(\sqrt{577})$+- params:+    D: '577'+    s: '-5'+  number: 217693391530/9+  comment: $\mathbb{Q}(\sqrt{577})$+- params:+    D: '581'+    s: '-1'+  number: '45'+  comment: $\mathbb{Q}(\sqrt{581})$+- params:+    D: '581'+    s: '-3'+  number: 564949/2+  comment: $\mathbb{Q}(\sqrt{581})$+- params:+    D: '581'+    s: '-5'+  number: 510057249335/21+  comment: $\mathbb{Q}(\sqrt{581})$+- params:+    D: '584'+    s: '-1'+  number: 166/3+  comment: $\mathbb{Q}(\sqrt{146})$+- params:+    D: '584'+    s: '-3'+  number: 4581847/15+  comment: $\mathbb{Q}(\sqrt{146})$+- params:+    D: '584'+    s: '-5'+  number: 1598717698846/63+  comment: $\mathbb{Q}(\sqrt{146})$+- params:+    D: '589'+    s: '-1'+  number: 172/3+  comment: $\mathbb{Q}(\sqrt{589})$+- params:+    D: '589'+    s: '-3'+  number: 911438/3+  comment: $\mathbb{Q}(\sqrt{589})$+- params:+    D: '589'+    s: '-5'+  number: 1654246558372/63+  comment: $\mathbb{Q}(\sqrt{589})$+- params:+    D: '593'+    s: '-1'+  number: 206/3+  comment: $\mathbb{Q}(\sqrt{593})$+- params:+    D: '593'+    s: '-3'+  number: 5138711/15+  comment: $\mathbb{Q}(\sqrt{593})$+- params:+    D: '593'+    s: '-5'+  number: 252340591838/9+  comment: $\mathbb{Q}(\sqrt{593})$+- params:+    D: '597'+    s: '-1'+  number: '49'+  comment: $\mathbb{Q}(\sqrt{597})$+- params:+    D: '597'+    s: '-3'+  number: 627225/2+  comment: $\mathbb{Q}(\sqrt{597})$+- params:+    D: '597'+    s: '-5'+  number: 592996953539/21+  comment: $\mathbb{Q}(\sqrt{597})$+- params:+    D: '601'+    s: '-1'+  number: 283/3+  comment: $\mathbb{Q}(\sqrt{601})$+- params:+    D: '601'+    s: '-3'+  number: 11075879/30+  comment: $\mathbb{Q}(\sqrt{601})$+- params:+    D: '601'+    s: '-5'+  number: 1906958023933/63+  comment: $\mathbb{Q}(\sqrt{601})$+- params:+    D: '604'+    s: '-1'+  number: '74'+  comment: $\mathbb{Q}(\sqrt{151})$+- params:+    D: '604'+    s: '-3'+  number: 1762421/5+  comment: $\mathbb{Q}(\sqrt{151})$+- params:+    D: '604'+    s: '-5'+  number: 643104074114/21+  comment: $\mathbb{Q}(\sqrt{151})$+- params:+    D: '609'+    s: '-1'+  number: '88'+  comment: $\mathbb{Q}(\sqrt{609})$+- params:+    D: '609'+    s: '-3'+  number: 1910496/5+  comment: $\mathbb{Q}(\sqrt{609})$+- params:+    D: '609'+    s: '-5'+  number: 682673836568/21+  comment: $\mathbb{Q}(\sqrt{609})$+- params:+    D: '613'+    s: '-1'+  number: 337/6+  comment: $\mathbb{Q}(\sqrt{613})$+- params:+    D: '613'+    s: '-3'+  number: 20895797/60+  comment: $\mathbb{Q}(\sqrt{613})$+- params:+    D: '613'+    s: '-5'+  number: 4120718992627/126+  comment: $\mathbb{Q}(\sqrt{613})$+- params:+    D: '616'+    s: '-1'+  number: 226/3+  comment: $\mathbb{Q}(\sqrt{154})$+- params:+    D: '616'+    s: '-3'+  number: 5662171/15+  comment: $\mathbb{Q}(\sqrt{154})$+- params:+    D: '616'+    s: '-5'+  number: 2149759237426/63+  comment: $\mathbb{Q}(\sqrt{154})$+- params:+    D: '617'+    s: '-1'+  number: 229/3+  comment: $\mathbb{Q}(\sqrt{617})$+- params:+    D: '617'+    s: '-3'+  number: 2363893/6+  comment: $\mathbb{Q}(\sqrt{617})$+- params:+    D: '617'+    s: '-5'+  number: 2197154395939/63+  comment: $\mathbb{Q}(\sqrt{617})$+- params:+    D: '620'+    s: '-1'+  number: 182/3+  comment: $\mathbb{Q}(\sqrt{155})$+- params:+    D: '620'+    s: '-3'+  number: 1128937/3+  comment: $\mathbb{Q}(\sqrt{155})$+- params:+    D: '620'+    s: '-5'+  number: 2221442275862/63+  comment: $\mathbb{Q}(\sqrt{155})$+- params:+    D: '629'+    s: '-1'+  number: 145/3+  comment: $\mathbb{Q}(\sqrt{629})$+- params:+    D: '629'+    s: '-3'+  number: 2236249/6+  comment: $\mathbb{Q}(\sqrt{629})$+- params:+    D: '629'+    s: '-5'+  number: 338257628485/9+  comment: $\mathbb{Q}(\sqrt{629})$+- params:+    D: '632'+    s: '-1'+  number: 178/3+  comment: $\mathbb{Q}(\sqrt{158})$+- params:+    D: '632'+    s: '-3'+  number: 6026299/15+  comment: $\mathbb{Q}(\sqrt{158})$+- params:+    D: '632'+    s: '-5'+  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s: '-3'+  number: '411672'+  comment: $\mathbb{Q}(\sqrt{645})$+- params:+    D: '645'+    s: '-5'+  number: 907400893816/21+  comment: $\mathbb{Q}(\sqrt{645})$+- params:+    D: '649'+    s: '-1'+  number: 319/3+  comment: $\mathbb{Q}(\sqrt{649})$+- params:+    D: '649'+    s: '-3'+  number: 14494403/30+  comment: $\mathbb{Q}(\sqrt{649})$+- params:+    D: '649'+    s: '-5'+  number: 2909896947049/63+  comment: $\mathbb{Q}(\sqrt{649})$+- params:+    D: '652'+    s: '-1'+  number: 467/6+  comment: $\mathbb{Q}(\sqrt{163})$+- params:+    D: '652'+    s: '-3'+  number: 27554581/60+  comment: $\mathbb{Q}(\sqrt{163})$+- params:+    D: '652'+    s: '-5'+  number: 5875380640067/126+  comment: $\mathbb{Q}(\sqrt{163})$+- params:+    D: '653'+    s: '-1'+  number: 101/2+  comment: $\mathbb{Q}(\sqrt{653})$+- params:+    D: '653'+    s: '-3'+  number: 8479681/20+  comment: $\mathbb{Q}(\sqrt{653})$+- params:+    D: '653'+    s: '-5'+  number: 1939325866271/42+  comment: $\mathbb{Q}(\sqrt{653})$+- params:+    D: '661'+    s: '-1'+  number: 397/6+  comment: $\mathbb{Q}(\sqrt{661})$+- params:+    D: '661'+    s: '-3'+  number: 27273041/60+  comment: $\mathbb{Q}(\sqrt{661})$+- params:+    D: '661'+    s: '-5'+  number: 6238743005767/126+  comment: $\mathbb{Q}(\sqrt{661})$+- params:+    D: '664'+    s: '-1'+  number: 503/6+  comment: $\mathbb{Q}(\sqrt{166})$+- params:+    D: '664'+    s: '-3'+  number: 29442433/60+  comment: $\mathbb{Q}(\sqrt{166})$+- params:+    D: '664'+    s: '-5'+  number: 6496015692743/126+  comment: $\mathbb{Q}(\sqrt{166})$+- params:+    D: '665'+    s: '-1'+  number: 262/3+  comment: $\mathbb{Q}(\sqrt{665})$+- params:+    D: '665'+    s: '-3'+  number: 7690699/15+  comment: $\mathbb{Q}(\sqrt{665})$+- params:+    D: '665'+    s: '-5'+  number: 473955221686/9+  comment: $\mathbb{Q}(\sqrt{665})$+- params:+    D: '668'+    s: '-1'+  number: 182/3+  comment: $\mathbb{Q}(\sqrt{167})$+- params:+    D: '668'+    s: '-3'+  number: 7308587/15+  comment: 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209/3+  comment: $\mathbb{Q}(\sqrt{170})$+- params:+    D: '680'+    s: '-3'+  number: 15598327/30+  comment: $\mathbb{Q}(\sqrt{170})$+- params:+    D: '680'+    s: '-5'+  number: 3692153502209/63+  comment: $\mathbb{Q}(\sqrt{170})$+- params:+    D: '681'+    s: '-1'+  number: '105'+  comment: $\mathbb{Q}(\sqrt{681})$+- params:+    D: '681'+    s: '-3'+  number: 5651469/10+  comment: $\mathbb{Q}(\sqrt{681})$+- params:+    D: '681'+    s: '-5'+  number: 420735585525/7+  comment: $\mathbb{Q}(\sqrt{681})$+- params:+    D: '685'+    s: '-1'+  number: 203/3+  comment: $\mathbb{Q}(\sqrt{685})$+- params:+    D: '685'+    s: '-3'+  number: 15425791/30+  comment: $\mathbb{Q}(\sqrt{685})$+- params:+    D: '685'+    s: '-5'+  number: 542165085479/9+  comment: $\mathbb{Q}(\sqrt{685})$+- params:+    D: '689'+    s: '-1'+  number: 280/3+  comment: $\mathbb{Q}(\sqrt{689})$+- params:+    D: '689'+    s: '-3'+  number: 8716294/15+  comment: $\mathbb{Q}(\sqrt{689})$+- params:+    D: '689'+    s: '-5'+  number: 4032234100000/63+  comment: $\mathbb{Q}(\sqrt{689})$+- params:+    D: '696'+    s: '-1'+  number: 239/3+  comment: $\mathbb{Q}(\sqrt{174})$+- params:+    D: '696'+    s: '-3'+  number: 17142229/30+  comment: $\mathbb{Q}(\sqrt{174})$+- params:+    D: '696'+    s: '-5'+  number: 4201913713799/63+  comment: $\mathbb{Q}(\sqrt{174})$+- params:+    D: '697'+    s: '-1'+  number: '114'+  comment: $\mathbb{Q}(\sqrt{697})$+- params:+    D: '697'+    s: '-3'+  number: 3093749/5+  comment: $\mathbb{Q}(\sqrt{697})$+- params:+    D: '697'+    s: '-5'+  number: 1435961113534/21+  comment: $\mathbb{Q}(\sqrt{697})$+- params:+    D: '701'+    s: '-1'+  number: 361/6+  comment: $\mathbb{Q}(\sqrt{701})$+- params:+    D: '701'+    s: '-3'+  number: 32708213/60+  comment: $\mathbb{Q}(\sqrt{701})$+- params:+    D: '701'+    s: '-5'+  number: 8595156282091/126+  comment: $\mathbb{Q}(\sqrt{701})$+- params:+    D: '705'+    s: '-1'+  number: 314/3+  comment: $\mathbb{Q}(\sqrt{705})$+- params:+    D: 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comment: $\mathbb{Q}(\sqrt{182})$+- params:+    D: '728'+    s: '-5'+  number: 596937322797/7+  comment: $\mathbb{Q}(\sqrt{182})$+- params:+    D: '732'+    s: '-1'+  number: '82'+  comment: $\mathbb{Q}(\sqrt{183})$+- params:+    D: '732'+    s: '-3'+  number: '680053'+  comment: $\mathbb{Q}(\sqrt{183})$+- params:+    D: '732'+    s: '-5'+  number: 616050374414/7+  comment: $\mathbb{Q}(\sqrt{183})$+- params:+    D: '733'+    s: '-1'+  number: 141/2+  comment: $\mathbb{Q}(\sqrt{733})$+- params:+    D: '733'+    s: '-3'+  number: 13011513/20+  comment: $\mathbb{Q}(\sqrt{733})$+- params:+    D: '733'+    s: '-5'+  number: 1223946281277/14+  comment: $\mathbb{Q}(\sqrt{733})$+- params:+    D: '737'+    s: '-1'+  number: 299/3+  comment: $\mathbb{Q}(\sqrt{737})$+- params:+    D: '737'+    s: '-3'+  number: 22015687/30+  comment: $\mathbb{Q}(\sqrt{737})$+- params:+    D: '737'+    s: '-5'+  number: 5839333484429/63+  comment: $\mathbb{Q}(\sqrt{737})$+- params:+    D: '741'+    s: '-1'+  number: '70'+  comment: $\mathbb{Q}(\sqrt{741})$+- params:+    D: '741'+    s: '-3'+  number: 3348299/5+  comment: $\mathbb{Q}(\sqrt{741})$+- params:+    D: '741'+    s: '-5'+  number: '92687801690'+  comment: $\mathbb{Q}(\sqrt{741})$+- params:+    D: '744'+    s: '-1'+  number: '91'+  comment: $\mathbb{Q}(\sqrt{186})$+- params:+    D: '744'+    s: '-3'+  number: 1444377/2+  comment: $\mathbb{Q}(\sqrt{186})$+- params:+    D: '744'+    s: '-5'+  number: 2021311626731/21+  comment: $\mathbb{Q}(\sqrt{186})$+- params:+    D: '745'+    s: '-1'+  number: '126'+  comment: $\mathbb{Q}(\sqrt{745})$+- params:+    D: '745'+    s: '-3'+  number: '781729'+  comment: $\mathbb{Q}(\sqrt{745})$+- params:+    D: '745'+    s: '-5'+  number: 2071295242666/21+  comment: $\mathbb{Q}(\sqrt{745})$+- params:+    D: '748'+    s: '-1'+  number: 275/3+  comment: $\mathbb{Q}(\sqrt{187})$+- params:+    D: '748'+    s: '-3'+  number: 22262197/30+  comment: $\mathbb{Q}(\sqrt{187})$+- params:+    D: '748'+    s: '-5'+ 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params:+    D: '813'+    s: '-3'+  number: 27722071/30+  comment: $\mathbb{Q}(\sqrt{813})$+- params:+    D: '813'+    s: '-5'+  number: 9723266688857/63+  comment: $\mathbb{Q}(\sqrt{813})$+- params:+    D: '817'+    s: '-1'+  number: 421/3+  comment: $\mathbb{Q}(\sqrt{817})$+- params:+    D: '817'+    s: '-3'+  number: 6468133/6+  comment: $\mathbb{Q}(\sqrt{817})$+- params:+    D: '817'+    s: '-5'+  number: 1474346542693/9+  comment: $\mathbb{Q}(\sqrt{817})$+- params:+    D: '821'+    s: '-1'+  number: 451/6+  comment: $\mathbb{Q}(\sqrt{821})$+- params:+    D: '821'+    s: '-3'+  number: 56859983/60+  comment: $\mathbb{Q}(\sqrt{821})$+- params:+    D: '821'+    s: '-5'+  number: 20497072268041/126+  comment: $\mathbb{Q}(\sqrt{821})$+- params:+    D: '824'+    s: '-1'+  number: '91'+  comment: $\mathbb{Q}(\sqrt{206})$+- params:+    D: '824'+    s: '-3'+  number: 10189993/10+  comment: $\mathbb{Q}(\sqrt{206})$+- params:+    D: '824'+    s: '-5'+  number: '168561977191'+  comment: 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12227759/10+  comment: $\mathbb{Q}(\sqrt{849})$+- params:+    D: '849'+    s: '-5'+  number: 4244375927717/21+  comment: $\mathbb{Q}(\sqrt{849})$+- params:+    D: '853'+    s: '-1'+  number: 529/6+  comment: $\mathbb{Q}(\sqrt{853})$+- params:+    D: '853'+    s: '-3'+  number: 66358901/60+  comment: $\mathbb{Q}(\sqrt{853})$+- params:+    D: '853'+    s: '-5'+  number: 25360198417459/126+  comment: $\mathbb{Q}(\sqrt{853})$+- params:+    D: '856'+    s: '-1'+  number: 757/6+  comment: $\mathbb{Q}(\sqrt{214})$+- params:+    D: '856'+    s: '-3'+  number: 14335135/12+  comment: $\mathbb{Q}(\sqrt{214})$+- params:+    D: '856'+    s: '-5'+  number: 3751781009731/18+  comment: $\mathbb{Q}(\sqrt{214})$+- params:+    D: '857'+    s: '-1'+  number: 358/3+  comment: $\mathbb{Q}(\sqrt{857})$+- params:+    D: '857'+    s: '-3'+  number: 3729401/3+  comment: $\mathbb{Q}(\sqrt{857})$+- params:+    D: '857'+    s: '-5'+  number: 13386868271218/63+  comment: $\mathbb{Q}(\sqrt{857})$+- params:+    D: '860'+    s: '-1'+  number: 278/3+  comment: $\mathbb{Q}(\sqrt{215})$+- params:+    D: '860'+    s: '-3'+  number: 17723963/15+  comment: $\mathbb{Q}(\sqrt{215})$+- params:+    D: '860'+    s: '-5'+  number: 1919181802034/9+  comment: $\mathbb{Q}(\sqrt{215})$+- params:+    D: '861'+    s: '-1'+  number: '90'+  comment: $\mathbb{Q}(\sqrt{861})$+- params:+    D: '861'+    s: '-3'+  number: 5664609/5+  comment: $\mathbb{Q}(\sqrt{861})$+- params:+    D: '861'+    s: '-5'+  number: '211613592790'+  comment: $\mathbb{Q}(\sqrt{861})$+- params:+    D: '865'+    s: '-1'+  number: '162'+  comment: $\mathbb{Q}(\sqrt{865})$+- params:+    D: '865'+    s: '-3'+  number: 6597323/5+  comment: $\mathbb{Q}(\sqrt{865})$+- params:+    D: '865'+    s: '-5'+  number: 4709538084982/21+  comment: $\mathbb{Q}(\sqrt{865})$+- params:+    D: '869'+    s: '-1'+  number: 248/3+  comment: $\mathbb{Q}(\sqrt{869})$+- params:+    D: '869'+    s: '-3'+  number: 3468796/3+  comment: $\mathbb{Q}(\sqrt{869})$+- params:+    D: '869'+    s: '-5'+  number: 14008237822568/63+  comment: $\mathbb{Q}(\sqrt{869})$+- params:+    D: '872'+    s: '-1'+  number: 583/6+  comment: $\mathbb{Q}(\sqrt{218})$+- params:+    D: '872'+    s: '-3'+  number: 74376977/60+  comment: $\mathbb{Q}(\sqrt{218})$+- params:+    D: '872'+    s: '-5'+  number: 4142147424049/18+  comment: $\mathbb{Q}(\sqrt{218})$+- params:+    D: '876'+    s: '-1'+  number: 346/3+  comment: $\mathbb{Q}(\sqrt{219})$+- params:+    D: '876'+    s: '-3'+  number: 19185463/15+  comment: $\mathbb{Q}(\sqrt{219})$+- params:+    D: '876'+    s: '-5'+  number: 2127050246758/9+  comment: $\mathbb{Q}(\sqrt{219})$+- params:+    D: '877'+    s: '-1'+  number: 191/2+  comment: $\mathbb{Q}(\sqrt{877})$+- params:+    D: '877'+    s: '-3'+  number: 24395603/20+  comment: $\mathbb{Q}(\sqrt{877})$+- params:+    D: '877'+    s: '-5'+  number: 3282430927407/14+  comment: $\mathbb{Q}(\sqrt{877})$+- params:+    D: '881'+    s: '-1'+  number: 410/3+  comment: $\mathbb{Q}(\sqrt{881})$+- params:+    D: '881'+    s: '-3'+  number: 4121665/3+  comment: $\mathbb{Q}(\sqrt{881})$+- params:+    D: '881'+    s: '-5'+  number: 15585044836070/63+  comment: $\mathbb{Q}(\sqrt{881})$+- params:+    D: '885'+    s: '-1'+  number: 266/3+  comment: $\mathbb{Q}(\sqrt{885})$+- params:+    D: '885'+    s: '-3'+  number: 18673013/15+  comment: $\mathbb{Q}(\sqrt{885})$+- params:+    D: '885'+    s: '-5'+  number: 15506840266286/63+  comment: $\mathbb{Q}(\sqrt{885})$+- params:+    D: '888'+    s: '-1'+  number: '105'+  comment: $\mathbb{Q}(\sqrt{222})$+- params:+    D: '888'+    s: '-3'+  number: 13360923/10+  comment: $\mathbb{Q}(\sqrt{222})$+- params:+    D: '888'+    s: '-5'+  number: 1782662823275/7+  comment: $\mathbb{Q}(\sqrt{222})$+- params:+    D: '889'+    s: '-1'+  number: 520/3+  comment: $\mathbb{Q}(\sqrt{889})$+- params:+    D: '889'+    s: '-3'+  number: 21809728/15+  comment: $\mathbb{Q}(\sqrt{889})$+- params:+    D: '889'+    s: '-5'+  number: 16424615767240/63+  comment: $\mathbb{Q}(\sqrt{889})$+- params:+    D: '892'+    s: '-1'+  number: '120'+  comment: $\mathbb{Q}(\sqrt{223})$+- params:+    D: '892'+    s: '-3'+  number: 6871724/5+  comment: $\mathbb{Q}(\sqrt{223})$+- params:+    D: '892'+    s: '-5'+  number: 5489367610840/21+  comment: $\mathbb{Q}(\sqrt{223})$+- params:+    D: '893'+    s: '-1'+  number: 239/3+  comment: $\mathbb{Q}(\sqrt{893})$+- params:+    D: '893'+    s: '-3'+  number: 7607303/6+  comment: $\mathbb{Q}(\sqrt{893})$+- params:+    D: '893'+    s: '-5'+  number: 16270545289949/63+  comment: $\mathbb{Q}(\sqrt{893})$+- params:+    D: '897'+    s: '-1'+  number: '148'+  comment: $\mathbb{Q}(\sqrt{897})$+- params:+    D: '897'+    s: '-3'+  number: 7387842/5+  comment: $\mathbb{Q}(\sqrt{897})$+- params:+    D: '897'+    s: '-5'+  number: 5742808379468/21+  comment: $\mathbb{Q}(\sqrt{897})$+- params:+    D: '901'+    s: '-1'+  number: 314/3+  comment: $\mathbb{Q}(\sqrt{901})$+- params:+    D: '901'+    s: '-3'+  number: 20159189/15+  comment: $\mathbb{Q}(\sqrt{901})$+- params:+    D: '901'+    s: '-5'+  number: 17137406550494/63+  comment: $\mathbb{Q}(\sqrt{901})$+- params:+    D: '904'+    s: '-1'+  number: 406/3+  comment: $\mathbb{Q}(\sqrt{226})$+- params:+    D: '904'+    s: '-3'+  number: 21686317/15+  comment: $\mathbb{Q}(\sqrt{226})$+- params:+    D: '904'+    s: '-5'+  number: 17726610357046/63+  comment: $\mathbb{Q}(\sqrt{226})$+- params:+    D: '905'+    s: '-1'+  number: 424/3+  comment: $\mathbb{Q}(\sqrt{905})$+- params:+    D: '905'+    s: '-3'+  number: 22622482/15+  comment: $\mathbb{Q}(\sqrt{905})$+- params:+    D: '905'+    s: '-5'+  number: 18067047105664/63+  comment: $\mathbb{Q}(\sqrt{905})$+- params:+    D: '908'+    s: '-1'+  number: 575/6+  comment: $\mathbb{Q}(\sqrt{227})$+- params:+    D: '908'+    s: '-3'+  number: 85600009/60+  comment: $\mathbb{Q}(\sqrt{227})$+- params:+    D: '908'+    s: '-5'+  number: 36219881170415/126+  comment: $\mathbb{Q}(\sqrt{227})$+- params:+    D: '913'+    s: '-1'+  number: 497/3+  comment: $\mathbb{Q}(\sqrt{913})$+- params:+    D: '913'+    s: '-3'+  number: 47710381/30+  comment: $\mathbb{Q}(\sqrt{913})$+- params:+    D: '913'+    s: '-5'+  number: 19013649719207/63+  comment: $\mathbb{Q}(\sqrt{913})$+- params:+    D: '917'+    s: '-1'+  number: 245/3+  comment: $\mathbb{Q}(\sqrt{917})$+- params:+    D: '917'+    s: '-3'+  number: 41721841/30+  comment: $\mathbb{Q}(\sqrt{917})$+- params:+    D: '917'+    s: '-5'+  number: 18825523290575/63+  comment: $\mathbb{Q}(\sqrt{917})$+- params:+    D: '920'+    s: '-1'+  number: 311/3+  comment: $\mathbb{Q}(\sqrt{230})$+- params:+    D: '920'+    s: '-3'+  number: 44888593/30+  comment: $\mathbb{Q}(\sqrt{230})$+- params:+    D: '920'+    s: '-5'+  number: 19467308884391/63+  comment: $\mathbb{Q}(\sqrt{230})$+- params:+    D: '921'+    s: '-1'+  number: '165'+  comment: $\mathbb{Q}(\sqrt{921})$+- params:+    D: '921'+    s: '-3'+  number: 16257329/10+  comment: $\mathbb{Q}(\sqrt{921})$+- params:+    D: '921'+    s: '-5'+  number: 6641242257875/21+  comment: $\mathbb{Q}(\sqrt{921})$+- params:+    D: '924'+    s: '-1'+  number: '124'+  comment: $\mathbb{Q}(\sqrt{231})$+- params:+    D: '924'+    s: '-3'+  number: 7705614/5+  comment: $\mathbb{Q}(\sqrt{231})$+- params:+    D: '924'+    s: '-5'+  number: 6655405020044/21+  comment: $\mathbb{Q}(\sqrt{231})$+- params:+    D: '929'+    s: '-1'+  number: '147'+  comment: $\mathbb{Q}(\sqrt{929})$+- params:+    D: '929'+    s: '-3'+  number: 16541099/10+  comment: $\mathbb{Q}(\sqrt{929})$+- params:+    D: '929'+    s: '-5'+  number: 6955134920717/21+  comment: $\mathbb{Q}(\sqrt{929})$+- params:+    D: '933'+    s: '-1'+  number: '96'+  comment: $\mathbb{Q}(\sqrt{933})$+- params:+    D: '933'+    s: '-3'+  number: '1496484'+  comment: $\mathbb{Q}(\sqrt{933})$+- params:+    D: '933'+    s: '-5'+  number: 2303676187312/7+  comment: $\mathbb{Q}(\sqrt{933})$+- params:+    D: '937'+    s: '-1'+  number: 515/3+  comment: $\mathbb{Q}(\sqrt{937})$+- params:+    D: '937'+    s: '-3'+  number: 52243519/30+  comment: $\mathbb{Q}(\sqrt{937})$+- params:+    D: '937'+    s: '-5'+  number: 3132894054755/9+  comment: $\mathbb{Q}(\sqrt{937})$+- params:+    D: '940'+    s: '-1'+  number: '141'+  comment: $\mathbb{Q}(\sqrt{235})$+- params:+    D: '940'+    s: '-3'+  number: 16551779/10+  comment: $\mathbb{Q}(\sqrt{235})$+- params:+    D: '940'+    s: '-5'+  number: 7324097947181/21+  comment: $\mathbb{Q}(\sqrt{235})$+- params:+    D: '941'+    s: '-1'+  number: 527/6+  comment: $\mathbb{Q}(\sqrt{941})$+- params:+    D: '941'+    s: '-3'+  number: 91579459/60+  comment: $\mathbb{Q}(\sqrt{941})$+- params:+    D: '941'+    s: '-5'+  number: 43405022924477/126+  comment: $\mathbb{Q}(\sqrt{941})$+- params:+    D: '949'+    s: '-1'+  number: 355/3+  comment: $\mathbb{Q}(\sqrt{949})$+- params:+    D: '949'+    s: '-3'+  number: 48394727/30+  comment: $\mathbb{Q}(\sqrt{949})$+- params:+    D: '949'+    s: '-5'+  number: 22799781366265/63+  comment: $\mathbb{Q}(\sqrt{949})$+- params:+    D: '952'+    s: '-1'+  number: '134'+  comment: $\mathbb{Q}(\sqrt{238})$+- params:+    D: '952'+    s: '-3'+  number: '1726613'+  comment: $\mathbb{Q}(\sqrt{238})$+- params:+    D: '952'+    s: '-5'+  number: '373940841534'+  comment: $\mathbb{Q}(\sqrt{238})$+- params:+    D: '953'+    s: '-1'+  number: '146'+  comment: $\mathbb{Q}(\sqrt{953})$+- params:+    D: '953'+    s: '-3'+  number: 9020871/5+  comment: $\mathbb{Q}(\sqrt{953})$+- params:+    D: '953'+    s: '-5'+  number: 8001687389686/21+  comment: $\mathbb{Q}(\sqrt{953})$+- params:+    D: '956'+    s: '-1'+  number: 356/3+  comment: $\mathbb{Q}(\sqrt{239})$+- params:+    D: '956'+    s: '-3'+  number: 25732802/15+  comment: $\mathbb{Q}(\sqrt{239})$+- params:+    D: '956'+    s: '-5'+  number: 24045083981396/63+  comment: $\mathbb{Q}(\sqrt{239})$+- params:+    D: '957'+    s: '-1'+  number: 280/3+  comment: $\mathbb{Q}(\sqrt{957})$+- params:+    D: '957'+    s: '-3'+  number: 24509824/15+  comment: $\mathbb{Q}(\sqrt{957})$+- params:+    D: '957'+    s: '-5'+  number: 23840904475960/63+  comment: $\mathbb{Q}(\sqrt{957})$+- params:+    D: '965'+    s: '-1'+  number: '89'+  comment: $\mathbb{Q}(\sqrt{965})$+- params:+    D: '965'+    s: '-3'+  number: 16644597/10+  comment: $\mathbb{Q}(\sqrt{965})$+- params:+    D: '965'+    s: '-5'+  number: 8308420210459/21+  comment: $\mathbb{Q}(\sqrt{965})$+- params:+    D: '969'+    s: '-1'+  number: '174'+  comment: $\mathbb{Q}(\sqrt{969})$+- params:+    D: '969'+    s: '-3'+  number: 9703827/5+  comment: $\mathbb{Q}(\sqrt{969})$+- params:+    D: '969'+    s: '-5'+  number: 2927345556118/7+  comment: $\mathbb{Q}(\sqrt{969})$+- params:+    D: '973'+    s: '-1'+  number: 335/3+  comment: $\mathbb{Q}(\sqrt{973})$+- params:+    D: '973'+    s: '-3'+  number: 52624747/30+  comment: $\mathbb{Q}(\sqrt{973})$+- params:+    D: '973'+    s: '-5'+  number: 26153379384365/63+  comment: $\mathbb{Q}(\sqrt{973})$+- params:+    D: '977'+    s: '-1'+  number: 457/3+  comment: $\mathbb{Q}(\sqrt{977})$+- params:+    D: '977'+    s: '-3'+  number: 59052041/30+  comment: $\mathbb{Q}(\sqrt{977})$+- params:+    D: '977'+    s: '-5'+  number: 27524047139047/63+  comment: $\mathbb{Q}(\sqrt{977})$+- params:+    D: '984'+    s: '-1'+  number: 421/3+  comment: $\mathbb{Q}(\sqrt{246})$+- params:+    D: '984'+    s: '-3'+  number: 57651131/30+  comment: $\mathbb{Q}(\sqrt{246})$+- params:+    D: '984'+    s: '-5'+  number: 28221293422501/63+  comment: $\mathbb{Q}(\sqrt{246})$+- params:+    D: '985'+    s: '-1'+  number: '192'+  comment: $\mathbb{Q}(\sqrt{985})$+- params:+    D: '985'+    s: '-3'+  number: 10387538/5+  comment: $\mathbb{Q}(\sqrt{985})$+- params:+    D: '985'+    s: '-5'+  number: 9622364507992/21+  comment: $\mathbb{Q}(\sqrt{985})$+- params:+    D: '988'+    s: '-1'+  number: '146'+  comment: $\mathbb{Q}(\sqrt{247})$+- params:+    D: '988'+    s: '-3'+  number: 9835897/5+  comment: $\mathbb{Q}(\sqrt{247})$+- params:+    D: '988'+    s: '-5'+  number: 3210443503502/7+  comment: $\mathbb{Q}(\sqrt{247})$+- params:+    D: '989'+    s: '-1'+  number: 301/3+  comment: $\mathbb{Q}(\sqrt{989})$+- params:+    D: '989'+    s: '-3'+  number: 54549569/30+  comment: $\mathbb{Q}(\sqrt{989})$+- params:+    D: '989'+    s: '-5'+  number: 4076206834753/9+  comment: $\mathbb{Q}(\sqrt{989})$+- params:+    D: '993'+    s: '-1'+  number: '167'+  comment: $\mathbb{Q}(\sqrt{993})$+- params:+    D: '993'+    s: '-3'+  number: 21075203/10+  comment: $\mathbb{Q}(\sqrt{993})$+- params:+    D: '993'+    s: '-5'+  number: 3348563100699/7+  comment: $\mathbb{Q}(\sqrt{993})$+- params:+    D: '997'+    s: '-1'+  number: 225/2+  comment: $\mathbb{Q}(\sqrt{997})$+- params:+    D: '997'+    s: '-3'+  number: 38187317/20+  comment: $\mathbb{Q}(\sqrt{997})$+- params:+    D: '997'+    s: '-5'+  number: 19935873593795/42+  comment: $\mathbb{Q}(\sqrt{997})$ 

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