History of Special values of the $L$-functions of level one cusp forms

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2026-09-18 07:21 zeta3 table-repair@2.0+dc0f96a0 shorten analytic-continuation definition current reviewed
2026-09-18 07:20 zeta3 table-repair@2.0+dc0f96a0 fix analytic continuation, ordering, and exact a2 prose
2026-09-18 06:54 zeta3 table-build@2.0+395f185d sync checked prose and program examples
2026-09-18 06:48 zeta3 table-build@2.0+395f185d sync checked prose and program examples
2026-09-18 06:42 zeta3 with Codex CLI, table-bu table-build@2.0+395f185d level one cusp form L-values for weights up to 40, sorted by a_2 and computed at two precisions
2026-09-18 05:57 zeta3 table-build@2.0+395f185d claim level one cusp form L-value draft

What changed between 2026-09-18 05:57 and 2026-09-18 06:42

from line 126 (4665 lines, 4663 more than before) @@ -126,2 +126,4665 @@
   - - i   - - s+Numbers:+- params:+    k: '12'+    i: '1'+    s: '1'+  number: '0.0374412812685155417387703158412'+  comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    s: '2'+  number: '0.146374542091265989413000913275'+  comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    s: '3'+  number: '0.315241565880993084286937938416'+  comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    s: '4'+  number: '0.501617647510902215168742991995'+  comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    s: '5'+  number: '0.666709188434003643826130221671'+  comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    s: '6'+  number: '0.792122838646030569355944890487'+  comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    s: '7'+  number: '0.877354125388660916453218437561'+  comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    s: '8'+  number: '0.930707030298126094202932748711'+  comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    s: '9'+  number: '0.962126459694425863266316841741'+  comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    s: '10'+  number: '0.979809088251220515857621009051'+  comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    s: '11'+  number: '0.989432913100337599555367833818'+  comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '16'+    i: '1'+    s: '1'+  number: '0.587014408020281161499499160844'+  comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    s: '2'+  number: '1.66545603824784736966882943949'+  comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    s: '3'+  number: '2.55866314351437000469843171843'+  comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    s: '4'+  number: '2.86834836182577734119868250169'+  comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    s: '5'+  number: '2.67834774477184721011770234067'+  comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    s: '6'+  number: '2.26475708925865152719116173972'+  comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    s: '7'+  number: '1.84620037831065267068059594362'+  comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    s: '8'+  number: '1.52056166908472874187639702228'+  comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    s: '9'+  number: '1.30151909850483260425922629196'+  comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    s: '10'+  number: '1.16723772210316597848017694816'+  comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    s: '11'+  number: '1.08991939829013396822496707714'+  comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    s: '12'+  number: '1.04728859628972042435818927617'+  comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    s: '13'+  number: '1.02448317049494969330903381766'+  comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    s: '14'+  number: '1.01253787485567881473868421875'+  comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    s: '15'+  number: '1.00637204838518570287442018658'+  comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '18'+    i: '1'+    s: '1'+  number: '-3.53164830549827527971215345253'+  comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    s: '2'+  number: '-8.67835156290327801352117784011'+  comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    s: '3'+  number: '-11.3261252501285280858015428098'+  comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    s: '4'+  number: '-10.4685651619304441313217745933'+  comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    s: '5'+  number: '-7.67749832527182922530061481488'+  comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    s: '6'+  number: '-4.69639076342179298083759011736'+  comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    s: '7'+  number: '-2.38802503366295111895120266634'+  comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    s: '8'+  number: '-0.882886075198155063144990862559'+  comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    s: '10'+  number: '0.484096460746456757698008134138'+  comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    s: '11'+  number: '0.738461421890638540319499470380'+  comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    s: '12'+  number: '0.868698283551820282190440086082'+  comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    s: '13'+  number: '0.934400269170070739866698684155'+  comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    s: '14'+  number: '0.967290178750563974586349168536'+  comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    s: '15'+  number: '0.983697174291201227643873027163'+  comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    s: '16'+  number: '0.991872353800215958357901529375'+  comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    s: '17'+  number: '0.995945900637295114949616210300'+  comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '20'+    i: '1'+    s: '1'+  number: '27.5105533059560505229898706886'+  comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    s: '2'+  number: '60.3948520818062326640058401248'+  comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    s: '3'+  number: '70.2652587512273854482770769680'+  comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    s: '4'+  number: '58.0327352948612416455748354306'+  comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    s: '5'+  number: '38.5272392785997985581164782061'+  comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    s: '6'+  number: '22.1551174906640138947829072854'+  comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    s: '7'+  number: '11.6999572414120423955797377531'+  comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    s: '8'+  number: '6.02375330833359169827427391224'+  comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    s: '9'+  number: '3.24926697677742178856549366708'+  comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    s: '10'+  number: '1.98173540543352669590857411559'+  comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    s: '11'+  number: '1.42528798463630030627238401450'+  comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    s: '12'+  number: '1.18539057450068724421910313826'+  comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    s: '13'+  number: '1.08207912046047781945323570751'+  comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    s: '14'+  number: '1.03708399982660875763951172931'+  comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    s: '15'+  number: '1.01711360472606039324881215822'+  comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    s: '16'+  number: '1.00805238270336889793084086185'+  comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    s: '17'+  number: '1.00385089096121879235163583391'+  comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    s: '18'+  number: '1.00186522065141322618834615920'+  comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    s: '19'+  number: '1.00091209067413361346543068994'+  comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '22'+    i: '1'+    s: '1'+  number: '-264.522169053328521213659207034'+  comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    s: '2'+  number: '-522.060629388605615488922625113'+  comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    s: '3'+  number: '-542.180180149728177036300822727'+  comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    s: '4'+  number: '-396.065316470856243226116998228'+  comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    s: '5'+  number: '-229.520387532624078980524379428'+  comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    s: '6'+  number: '-112.759845881527281231660347798'+  comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    s: '7'+  number: '-48.9011838194784381190520205769'+  comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    s: '8'+  number: '-19.1014957271868789889584274731'+  comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    s: '9'+  number: '-6.62960630553851819546541396600'+  comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    s: '10'+  number: '-1.78816997842145311173865872490'+  comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    s: '12'+  number: '0.641764737779063165961601946837'+  comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    s: '13'+  number: '0.869742658768751643385358697453'+  comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    s: '14'+  number: '0.951254678748630769083024505736'+  comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    s: '15'+  number: '0.981030396891340738692700844426'+  comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    s: '16'+  number: '0.992281266106880429282459839257'+  comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    s: '17'+  number: '0.996715786166595846512507909923'+  comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    s: '18'+  number: '0.998545146385339963612553842502'+  comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    s: '19'+  number: '0.999333639089277402610849467421'+  comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    s: '20'+  number: '0.999686786622265679987474543538'+  comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    s: '21'+  number: '0.999849941425838259952451625079'+  comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '24'+    i: '1'+    s: '1'+  number: '3094.59164116119106964614198787'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245$.+- params:+    k: '24'+    i: '1'+    s: '2'+  number: '5550.55056486031802775310746692'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245$.+- params:+    k: '24'+    i: '1'+    s: '3'+  number: '5212.44455526652885024630355203'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245$.+- params:+    k: '24'+    i: '1'+    s: '4'+  number: '3423.34572532746053898465413701'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245$.+- params:+    k: '24'+    i: '1'+    s: '5'+  number: '1771.87009737453312228514403812'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245$.+- params:+    k: '24'+    i: '1'+    s: '6'+  number: '771.829857244746155036625891161'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245$.+- params:+    k: '24'+    i: '1'+    s: '7'+  number: '294.813651074697473949181332188'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245$.+- params:+    k: '24'+    i: '1'+    s: '8'+  number: '101.452767131960119484515304733'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245$.+- params:+    k: '24'+    i: '1'+    s: '9'+  number: '32.0735146051052020489858993463'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245$.+- params:+    k: '24'+    i: '1'+    s: '10'+  number: '9.56111897355254263197699232094'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245$.+- params:+    k: '24'+    i: '1'+    s: '11'+  number: '2.93585702272107935198862473343'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245$.+- params:+    k: '24'+    i: '1'+    s: '12'+  number: '1.21946272914692790247256707071'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245$.+- params:+    k: '24'+    i: '1'+    s: '13'+  number: '0.878052951285365633227365311628'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245$.+- params:+    k: '24'+    i: '1'+    s: '14'+  number: '0.868382199050543185387399070316'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245$.+- params:+    k: '24'+    i: '1'+    s: '15'+  number: '0.912720770824074862661695921820'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245$.+- params:+    k: '24'+    i: '1'+    s: '16'+  number: '0.949803507699992735081880159088'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245$.+- params:+    k: '24'+    i: '1'+    s: '17'+  number: '0.972879776041970134948205252884'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245$.+- params:+    k: '24'+    i: '1'+    s: '18'+  number: '0.985808879961763545036572458049'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245$.+- params:+    k: '24'+    i: '1'+    s: '19'+  number: '0.992705109867542632026282590356'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245$.+- params:+    k: '24'+    i: '1'+    s: '20'+  number: '0.996288881971066598586984254004'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245$.+- params:+    k: '24'+    i: '1'+    s: '21'+  number: '0.998123906413627564586599570778'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245$.+- params:+    k: '24'+    i: '1'+    s: '22'+  number: '0.999055278936330536411853356325'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245$.+- params:+    k: '24'+    i: '1'+    s: '23'+  number: '0.999525456748817308892894968036'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245$.+- params:+    k: '24'+    i: '2'+    s: '1'+  number: '3097.94096694344104162714694151'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245$.+- params:+    k: '24'+    i: '2'+    s: '2'+  number: '5562.54669646931432977690412127'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245$.+- params:+    k: '24'+    i: '2'+    s: '3'+  number: '5234.92869252478526105089960894'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245$.+- params:+    k: '24'+    i: '2'+    s: '4'+  number: '3452.80301376661019045584766806'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245$.+- params:+    k: '24'+    i: '2'+    s: '5'+  number: '1802.27563892996980181447957495'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245$.+- params:+    k: '24'+    i: '2'+    s: '6'+  number: '798.253761345716351515325931411'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245$.+- params:+    k: '24'+    i: '2'+    s: '7'+  number: '314.990286980719120327107140233'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245$.+- params:+    k: '24'+    i: '2'+    s: '8'+  number: '115.400185258993688101681499164'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245$.+- params:+    k: '24'+    i: '2'+    s: '9'+  number: '40.9976311216145911556408034380'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245$.+- params:+    k: '24'+    i: '2'+    s: '10'+  number: '14.9373189338486622244818941029'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245$.+- params:+    k: '24'+    i: '2'+    s: '11'+  number: '6.02655093603133912743910249753'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245$.+- params:+    k: '24'+    i: '2'+    s: '12'+  number: '2.93320547718128517752123013121'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245$.+- params:+    k: '24'+    i: '2'+    s: '13'+  number: '1.80241435277709389072957379560'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245$.+- params:+    k: '24'+    i: '2'+    s: '14'+  number: '1.35667194389854784930694658605'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245$.+- params:+    k: '24'+    i: '2'+    s: '15'+  number: '1.16667568054188347179160205467'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245$.+- params:+    k: '24'+    i: '2'+    s: '16'+  number: '1.08037960764198947324097356560'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245$.+- params:+    k: '24'+    i: '2'+    s: '17'+  number: '1.03946231368897062998202239027'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245$.+- params:+    k: '24'+    i: '2'+    s: '18'+  number: '1.01955844155424079025280923395'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245$.+- params:+    k: '24'+    i: '2'+    s: '19'+  number: '1.00974007000096134349809930006'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245$.+- params:+    k: '24'+    i: '2'+    s: '20'+  number: '1.00486177273924408037269323013'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245$.+- params:+    k: '24'+    i: '2'+    s: '21'+  number: '1.00242936322465038226416053895'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245$.+- params:+    k: '24'+    i: '2'+    s: '22'+  number: '1.00121448791402306460021193135'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245$.+- params:+    k: '24'+    i: '2'+    s: '23'+  number: '1.00060725905765047496744416568'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245$.+- params:+    k: '26'+    i: '1'+    s: '1'+  number: '-43290.0506485854536729291581862'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    s: '2'+  number: '-71209.1372260170711196825949238'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    s: '3'+  number: '-61113.2820362129149189010910881'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    s: '4'+  number: '-36554.9665982072070745379086995'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    s: '5'+  number: '-17179.6159216917300382860218074'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    s: '6'+  number: '-6781.63645149135998081831629081'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    s: '7'+  number: '-2347.84017876120984880091531064'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    s: '8'+  number: '-734.940365141317694162068166536'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    s: '9'+  number: '-212.630552238851154709329375648'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    s: '10'+  number: '-57.5680211296584869618719414897'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    s: '11'+  number: '-14.4144850024665229280583977581'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    s: '12'+  number: '-2.95155114131575373196401823193'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    s: '14'+  number: '0.746939541906930320436707436761'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    s: '15'+  number: '0.935132788420595656306896663682'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    s: '16'+  number: '0.982933038686974521173351821738'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    s: '17'+  number: '0.995326446335172783649113293060'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    s: '18'+  number: '0.998648848708936819706450988688'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    s: '19'+  number: '0.999581999939780091476656892383'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    s: '20'+  number: '0.999860211422181919415558510165'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    s: '21'+  number: '0.999949272589309915878216666098'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    s: '22'+  number: '0.999980107303485664531876091767'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    s: '23'+  number: '0.999991660416808020217807438902'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    s: '24'+  number: '0.999996314240344731629534198562'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    s: '25'+  number: '0.999998306132242791386415666689'+  comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '28'+    i: '1'+    s: '1'+  number: '712658.881788275533376013379868'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '2'+  number: '1081949.89593268728171185895563'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '3'+  number: '854032.923764368975686432223185'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '4'+  number: '468011.113951919763865370686447'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '5'+  number: '200601.084436755035725272304841'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '6'+  number: '71829.1228339656870521978114054'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '7'+  number: '22400.6262850437246161843344391'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '8'+  number: '6256.68395684487833587061533773'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '9'+  number: '1593.33311231917738619974904136'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '10'+  number: '372.645788218279228913043256832'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '11'+  number: '79.3213533277205091457818140209'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '12'+  number: '14.7693358393523950012323536592'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '13'+  number: '2.23406916282794111293398076341'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '14'+  number: '0.431363431350265862419908986625'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '15'+  number: '0.484601732786476187884683229981'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '16'+  number: '0.702645948369832596163358271554'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '17'+  number: '0.846472326662659688510286032972'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '18'+  number: '0.923484651170322213264937777315'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '19'+  number: '0.962243017679046165773479118580'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '20'+  number: '0.981383051852985809928808494276'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '21'+  number: '0.990800454738073000780711069871'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '22'+  number: '0.995441611289128705580864864769'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '23'+  number: '0.997735801515358736749125557449'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '24'+  number: '0.998873187359587502267298718121'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '25'+  number: '0.999438425640041746978544927277'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '26'+  number: '0.999719840510740910237620291162'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '1'+    s: '27'+  number: '0.999860133672657889327868689723'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '1'+  number: '712814.180877281357878729384702'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '2'+  number: '1082422.27537030389553277997979'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '3'+  number: '854780.671849625591588549413677'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '4'+  number: '468834.023103223532059793532097'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '5'+  number: '201311.003303190259787619608607'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '6'+  number: '72342.5546812063164041151461893'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '7'+  number: '22725.8743677508663323835821785'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '8'+  number: '6442.96173438099577125805709590'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '9'+  number: '1692.19288310164032711717971635'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '10'+  number: '422.255855846480365643776080967'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '11'+  number: '103.268908001142972823304522186'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '12'+  number: '26.0534491165768480200717614337'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '13'+  number: '7.48845805857930646687482250802'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '14'+  number: '2.87274956148603492482699205899'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '15'+  number: '1.62435425521598675125956416843'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '16'+  number: '1.23948366141459563646375391614'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '17'+  number: '1.10202699727629200466800697592'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '18'+  number: '1.04642750319399663646852034431'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '19'+  number: '1.02194624196358612089575795147'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '20'+  number: '1.01060138141409310884472307620'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '21'+  number: '1.00518647877812779724305992589'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '22'+  number: '1.00255699019311118800389501107'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '23'+  number: '1.00126674687989856653303346160'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '24'+  number: '1.00062951720382836519138732316'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '25'+  number: '1.00031348343735732058041757407'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '26'+  number: '1.00015631829756812498014338766'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '28'+    i: '2'+    s: '27'+  number: '1.00007801823406680357898635952'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915$.+- params:+    k: '30'+    i: '1'+    s: '1'+  number: '-13648674.1351535171899498034030'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '2'+  number: '-19243239.5476901342914033211891'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '3'+  number: '-14067480.1604543375738196575800'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '4'+  number: '-7119116.30332032255023837643033'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '5'+  number: '-2809804.67426978600856995284401'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '6'+  number: '-923928.198166939643793279937116'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '7'+  number: '-264055.199114982573163040552543'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '8'+  number: '-67563.1669602734285554415733907'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '9'+  number: '-15819.0491281240804680258714973'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '10'+  number: '-3445.72273488011856547569249481'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '11'+  number: '-706.784601473905623718741274844'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '12'+  number: '-137.456499397790443635595604146'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '13'+  number: '-25.1327212233421429312958717840'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '14'+  number: '-3.90389828425235057000613578200'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '16'+  number: '0.733903460717375145506258009598'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '17'+  number: '0.896760267244227069929395397224'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '18'+  number: '0.949143094934468681980376162483'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '19'+  number: '0.973078861990040960755277933241'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '20'+  number: '0.985706053348774748837247374186'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '21'+  number: '0.992509566911188240371353268076'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '22'+  number: '0.996127157279203968836963281124'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '23'+  number: '0.998018336646528673263561438573'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '24'+  number: '0.998993517222687784759411613342'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '25'+  number: '0.999491417752265669894724451899'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '26'+  number: '0.999743901035165160155927261812'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '27'+  number: '0.999871341637316451807396922058'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '28'+  number: '0.999935466406847951967859774166'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '1'+    s: '29'+  number: '0.999967664724680349278170637037'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '1'+  number: '-13649775.4959396985241604772671'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '2'+  number: '-19246338.5776575839682568455359'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '3'+  number: '-14071996.8301533740409748878449'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '4'+  number: '-7123666.25964116884871399708414'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '5'+  number: '-2813371.10168773523158668260045'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '6'+  number: '-926249.242855275965965804166792'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '7'+  number: '-265361.429805920015939456645472'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '8'+  number: '-68216.3406170292118122160126387'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '9'+  number: '-16114.5495956341623157429738714'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '10'+  number: '-3567.94863775350291653123843891'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '11'+  number: '-753.096418346525068070784139760'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '12'+  number: '-153.344464243010996757996815839'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '13'+  number: '-29.8588117212250531787629085042'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '14'+  number: '-4.94092624507179308489413980744'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '16'+  number: '0.928856903120352151174386134972'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '17'+  number: '1.06539183484247260369069568956'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '18'+  number: '1.05885018184173991766373793110'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '19'+  number: '1.03683951829908124935457265082'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '20'+  number: '1.02067079706385662400191809621'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '21'+  number: '1.01104968513542848307319541477'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '22'+  number: '1.00575731594681607296636586017'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '23'+  number: '1.00295534294602729751660425214'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '24'+  number: '1.00150313712760293338545800176'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '25'+  number: '1.00076005169999835181731121076'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '26'+  number: '1.00038285549073725849554015120'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '27'+  number: '1.00019237202372521078460489859'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '28'+  number: '1.00009650114157808009033945775'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '30'+    i: '2'+    s: '29'+  number: '1.00004835572532051507216403884'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288$.+- params:+    k: '32'+    i: '1'+    s: '1'+  number: '300786039.242670904207546996408'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '2'+  number: '395812766.614205733306654326713'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '3'+  number: '269406954.943264467385961447262'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '4'+  number: '126608749.038358610474967499030'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '5'+  number: '46275214.7584110629779680923572'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '6'+  number: '14049528.5934921704612474346494'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '7'+  number: '3695918.21374967533473480460635'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '8'+  number: '867664.304440952928175025300591'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '9'+  number: '185795.471669042122710090487015'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '10'+  number: '36894.5888947114200516974403836'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '11'+  number: '6877.33835870824722918178910465'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '12'+  number: '1212.21171658985293163440904933'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '13'+  number: '202.080779746584921309627007928'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '14'+  number: '31.6015203251730726663318655500'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '15'+  number: '4.76343056131498813693083802581'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '16'+  number: '1.08092278453390571792665826076'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '17'+  number: '0.783552920537299347323141685779'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '18'+  number: '0.862262008450325528721883536176'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '19'+  number: '0.930251037265139176090246938381'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '20'+  number: '0.966225558105669060452335200885'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '21'+  number: '0.983688266975766759523060345709'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '22'+  number: '0.992065203396026855152061092911'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '23'+  number: '0.996109800143053912689661389703'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '24'+  number: '0.998080872536339557698435030242'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '25'+  number: '0.999049044895060718013598165868'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '26'+  number: '0.999527360834064295967272590556'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '27'+  number: '0.999764615388416796753494360270'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '28'+  number: '0.999882615950534280751809286309'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '29'+  number: '0.999941409764115061992797659948'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '30'+  number: '0.999970738549615024748293023574'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '1'+    s: '31'+  number: '0.999985380427767001674714672613'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '1'+  number: '300800439.723932550204017405982'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '2'+  number: '395850696.249917954832775565874'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '3'+  number: '269458649.325432791196126832940'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '4'+  number: '126657424.961163729413455090864'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '5'+  number: '46310895.3436347346191809010475'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '6'+  number: '14071286.9745836040373976604252'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '7'+  number: '3707441.70255734613559668381237'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '8'+  number: '873130.879703255762793024541867'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '9'+  number: '188174.849223652141517205390134'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '10'+  number: '37864.1897233076799955922031793'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '11'+  number: '7254.05962504666023244438465895'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '12'+  number: '1354.24297882858552551588546562'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '13'+  number: '254.972165282875452461564070988'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '14'+  number: '51.4067525591174460346887522776'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '15'+  number: '12.3470090478611264732812110876'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '16'+  number: '4.09058356427755893807487146966'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '17'+  number: '2.03100158065100508587946139840'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '18'+  number: '1.40265687389173923190509670566'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '19'+  number: '1.17372924592617906087277009565'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '20'+  number: '1.07943534955293709889839485267'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '21'+  number: '1.03757194555733856062015152192'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '22'+  number: '1.01813697359461517535615319891'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '23'+  number: '1.00886641514069689293370593330'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '24'+  number: '1.00436911578855010753658314002'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '25'+  number: '1.00216397596803012104058720080'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '26'+  number: '1.00107532004733044530157024974'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '27'+  number: '1.00053548564259522533932114742'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '28'+  number: '1.00026703021414447561974567869'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '29'+  number: '1.00013328065843983745868309131'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '30'+  number: '1.00006656296215358372239565067'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '32'+    i: '2'+    s: '31'+  number: '1.00003325589023536451030278416'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239$.+- params:+    k: '34'+    i: '1'+    s: '1'+  number: '-7558007179.89621713143686268041'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '2'+  number: '-9324131789.60250282393386455777'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '3'+  number: '-5936892000.52271226567115275604'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '4'+  number: '-2604004905.22794430246463469614'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '5'+  number: '-886083129.640517143629914909944'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '6'+  number: '-249786091.330899950671048248717'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '7'+  number: '-60832808.4191034820044227237778'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '8'+  number: '-13178871.4656723328532769188536'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '9'+  number: '-2594889.16138421976778559565402'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '10'+  number: '-471919.171970520078735806088388'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '11'+  number: '-80214.1110042367774056532364679'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '12'+  number: '-12838.1322453361551807417720196'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '13'+  number: '-1938.67716544905555362850963320'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '14'+  number: '-274.692434481821843068661176718'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '15'+  number: '-35.8573787040505620522921850857'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '16'+  number: '-3.98376816340662827896175313200'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '18'+  number: '0.578209055859966612286041287872'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '19'+  number: '0.760966158262213842353077918678'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '20'+  number: '0.865190224147675893176004609502'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '21'+  number: '0.927164488118796105628857119909'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '22'+  number: '0.961861042125030208362743526103'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '23'+  number: '0.980405266273915554003067503484'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '24'+  number: '0.990043741126197379451933171061'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '25'+  number: '0.994973603298556706354295470643'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '26'+  number: '0.997471992872029368397764364645'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '27'+  number: '0.998731398105998262142618680831'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '28'+  number: '0.999364253839427379421997975191'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '29'+  number: '0.999681667616567414349498047808'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '30'+  number: '0.999840686413834890892721730584'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '31'+  number: '0.999920295520002899298270711188'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '32'+  number: '0.999960132228828936605774055839'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '1'+    s: '33'+  number: '0.999980061029096836068660248434'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172$.+- params:+    k: '34'+    i: '2'+    s: '1'+  number: '-7558201572.26678488335654484080'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '2'+  number: '-9324611311.13557145019151011710'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '3'+  number: '-5937502431.82556450759676131552'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '4'+  number: '-2604540114.75186876696498689742'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '5'+  number: '-886447089.116282447942720187055'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '6'+  number: '-249991059.504333518442376079823'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '7'+  number: '-60932479.6584825694053922309707'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '8'+  number: '-13221954.2492491800655872178839'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '9'+  number: '-2611797.14550364964707031081268'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '10'+  number: '-478039.558399674303139595275983'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '11'+  number: '-82280.7968799051560869770735452'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '12'+  number: '-13493.4701465843985263139990824'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '13'+  number: '-2133.83760978234772873372195675'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '14'+  number: '-328.612478972714356797057053169'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '15'+  number: '-49.0963907556941139795351822452'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '16'+  number: '-6.44243860035663408908441111879'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '18'+  number: '0.935063534762173579271000149957'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '19'+  number: '1.04192479227938206143859546209'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '20'+  number: '1.03502051258328678466473046280'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '21'+  number: '1.02049917875017886113327950922'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '22'+  number: '1.01096039587780505191613855387'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '23'+  number: '1.00566503280217860646446078078'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '24'+  number: '1.00288375830997981586221358003'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '25'+  number: '1.00145673103062902646208085268'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '26'+  number: '1.00073280849685796771221147423'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '27'+  number: '1.00036776504092959902628873533'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '28'+  number: '1.00018430696813786577878325918'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '29'+  number: '1.00009228779824892541142533473'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '30'+  number: '1.00004618689376928476038536519'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '31'+  number: '1.00002310733613311240263984503'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '32'+  number: '1.00001155818745262053307673847'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '34'+    i: '2'+    s: '33'+  number: '1.00000578057261632246060366396'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717$.+- params:+    k: '36'+    i: '1'+    s: '1'+  number: '214806287815.882255787774658531'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '2'+  number: '249416807845.873779885902331521'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '3'+  number: '149189179632.246908738734177150'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '4'+  number: '61350404062.3157190849531034734'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '5'+  number: '19531635903.1595747631793179802'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '6'+  number: '5140119475.50050099231956410685'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '7'+  number: '1166045330.67783382691572162370'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '8'+  number: '234790783.994685790177066589062'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '9'+  number: '42885087.6198793028746743451081'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '10'+  number: '7225610.57472466062876756376640'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '11'+  number: '1137887.14274339761141401489613'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '12'+  number: '169171.610256260200607828769788'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '13'+  number: '23893.7762971066436982428365261'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '14'+  number: '3205.20362606942343984032898859'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '15'+  number: '401.905556261750433686096121610'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '16'+  number: '44.2533362912200383111955871531'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '17'+  number: '3.38045206179478357701005767884'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '18'+  number: '0.135344088203735118483757043775'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '19'+  number: '0.436127118258318855918682051889'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '20'+  number: '0.741430557851698744861374927570'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '21'+  number: '0.886108608251160178863340180879'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '22'+  number: '0.948923008385626204999493169262'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '23'+  number: '0.976458631077660474650533205388'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '24'+  number: '0.988888196283694436540405352030'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '25'+  number: '0.994660129930264445208325135223'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '26'+  number: '0.997400999919056316188613049521'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '27'+  number: '0.998723867602195962017659505847'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '28'+  number: '0.999369655695858188304708594344'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '29'+  number: '0.999687385909345412488942000255'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '30'+  number: '0.999844541927326355269586660184'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '31'+  number: '0.999922553089595471659626652303'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '32'+  number: '0.999961370385018801462595122446'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '33'+  number: '0.999980716425314247821953923916'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '34'+  number: '0.999990368612452563294074801602'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '1'+    s: '35'+  number: '0.999995187770182470585467106034'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939$.+- params:+    k: '36'+    i: '2'+    s: '1'+  number: '214807155615.009161975316272478'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '2'+  number: '249418826787.701906074215508286'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '3'+  number: '149191601533.907787928037050841'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '4'+  number: '61352404141.8307705414391503494'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '5'+  number: '19532917219.3783452277545588041'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '6'+  number: '5140800055.43007157327387076537'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '7'+  number: '1166358318.13305273276084729503'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '8'+  number: '234919373.097691246637867330931'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '9'+  number: '42933460.9544090457614144048240'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '10'+  number: '7242622.83647553203379121726758'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '11'+  number: '1143585.53696820982374398004801'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '12'+  number: '171021.237306319176360734227070'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '13'+  number: '24485.0440497684245069867260221'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '14'+  number: '3394.11200472056691717981154724'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '15'+  number: '462.995229948869506650743357797'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '16'+  number: '64.4491416681199069071543855634'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '17'+  number: '10.2557702743097091105256047886'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '18'+  number: '2.55805889320511492005262697004'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '19'+  number: '1.32314242399854279400090782935'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '20'+  number: '1.07979571857812378832872869538'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '21'+  number: '1.02079718094199357040403086384'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '22'+  number: '1.00485065851084523295729139528'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '23'+  number: '1.00062176432145834944215999921'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '24'+  number: '0.999700142534957752024398163781'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '25'+  number: '0.999641261474101349173616999271'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '26'+  number: '0.999749320065253849135290629087'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '27'+  number: '0.999850403804676866235644889849'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '28'+  number: '0.999916985729049401181444991844'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '29'+  number: '0.999955719912062374126695436321'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '30'+  number: '0.999976926812769153421742096123'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '31'+  number: '0.999988150103134967904358380585'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '32'+  number: '0.999993970044031941572848833599'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '33'+  number: '0.999996949874441909300422488159'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '34'+  number: '0.999998463184748439166766236588'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '2'+    s: '35'+  number: '0.999999227665660768547861871766'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159$.+- params:+    k: '36'+    i: '3'+    s: '1'+  number: '214809393769.108921795686771720'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '2'+  number: '249424021665.613230713341679495'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '3'+  number: '149197811435.180792079626648061'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '4'+  number: '61357505689.6592979690660446218'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '5'+  number: '19536160055.2444622063662392032'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '6'+  number: '5142502681.82819892763098923316'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '7'+  number: '1167128034.07544390282696660989'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '8'+  number: '235227743.944403595144482314492'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '9'+  number: '43045283.5056149298750372939223'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '10'+  number: '7279921.86124651080640119339111'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '11'+  number: '1155175.28549454041497624745797'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '12'+  number: '174410.845697846152549460668477'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '13'+  number: '25426.8435839818658216074566088'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '14'+  number: '3645.32587905872158458637614049'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '15'+  number: '528.387354020086875485444173426'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '16'+  number: '81.5997176025277071481794553226'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '17'+  number: '15.0690444341081817538954780844'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '18'+  number: '4.12659565794223284068826296351'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '19'+  number: '1.94412427800111391040708745800'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '20'+  number: '1.36714040596723641759710471761'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '21'+  number: '1.16497165961875981252438022153'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '22'+  number: '1.07922428752033865851155022703'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '23'+  number: '1.03910995775277440406404129572'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '24'+  number: '1.01951400919572713741965442654'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '25'+  number: '1.00977219655722909560920919535'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '26'+  number: '1.00489796241427741276119340503'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '27'+  number: '1.00245456895913293865530132526'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '28'+  number: '1.00122954349499874609861090887'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '29'+  number: '1.00061562163123007869949313299'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '30'+  number: '1.00030811789095771182010849370'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '31'+  number: '1.00015416716051691795157465410'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '32'+  number: '1.00007712109797638480298125578'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '33'+  number: '1.00003857341268520782465004187'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '34'+  number: '1.00001929108292542304813712448'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '36'+    i: '3'+    s: '35'+  number: '1.00000964702233791718760805557'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655$.+- params:+    k: '38'+    i: '1'+    s: '1'+  number: '-6855803638765.48265346732331236'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '2'+  number: '-7518203695559.77270105920399357'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '3'+  number: '-4240067290272.67559235237858301'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '4'+  number: '-1641066734943.95687089872261344'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '5'+  number: '-490794746148.802716110995990131'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '6'+  number: '-121091978585.496791757824196680'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '7'+  number: '-25698845045.9826364717300743891'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '8'+  number: '-4830109089.97912956476275898782'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '9'+  number: '-821550995.630570888116146761404'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '10'+  number: '-128589516.253241444943500236241'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '11'+  number: '-18768338.1745898829816432366968'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '12'+  number: '-2581489.69866518794404507840673'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '13'+  number: '-337302.834737685865595652919398'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '14'+  number: '-42081.1052095977742367597893862'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '15'+  number: '-5017.46552637429746714623303197'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '16'+  number: '-568.570084862925980769063751164'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '17'+  number: '-60.1787303190139354883672340727'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '18'+  number: '-5.52604208374430189313540708185'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '20'+  number: '0.637892973921962245747210630296'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '21'+  number: '0.806598612996974334075739058299'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '22'+  number: '0.895403763292890423533660039442'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '23'+  number: '0.945290087350826862959597342412'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '24'+  number: '0.972012184609126463623247130613'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '25'+  number: '0.985847422448306574600031946053'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '26'+  number: '0.992884183641291634985700242313'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '27'+  number: '0.996432123069207446284704808114'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '28'+  number: '0.998213490462835304182027490401'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '29'+  number: '0.999106063304543906172440974883'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '30'+  number: '0.999552845179373760782145064115'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '31'+  number: '0.999776370005870497465346087893'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '32'+  number: '0.999888169735071018439369464277'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '33'+  number: '0.999944080315726848170980095740'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '34'+  number: '0.999972038769336153288141826858'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '35'+  number: '0.999986018952868852076081453242'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '36'+  number: '0.999993009340031273366641801727'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '1'+    s: '37'+  number: '0.999996504626383878038513830744'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '1'+  number: '-6855841869151.52642354832296198'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '2'+  number: '-7518287543132.15515412900991978'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '3'+  number: '-4240161864697.75259353671880232'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '4'+  number: '-1641139941479.43712756247782435'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '5'+  number: '-490838533036.917381478866876784'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '6'+  number: '-121113584788.993285517748543321'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '7'+  number: '-25708015607.1024991455586496835'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '8'+  number: '-4833556271.00707782856180938409'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '9'+  number: '-822723688.544415358011290367963'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '10'+  number: '-128956663.921517194479359318015'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '11'+  number: '-18875548.5207130704568980066804'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '12'+  number: '-2611003.71106968590026622161377'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '13'+  number: '-345026.284497809383952638902679'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '14'+  number: '-44012.5444458805566049133378468'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '15'+  number: '-5479.14693401254039299504499257'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '16'+  number: '-672.933370173119126565322155002'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '17'+  number: '-81.6031186724187534597879954444'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '18'+  number: '-8.93516986095146592661049297100'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '20'+  number: '1.03142212613014714145617144364'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '21'+  number: '1.09375791061852665522225861967'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '22'+  number: '1.05975866149138667103673315984'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '23'+  number: '1.03227082610439706329928261311'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '24'+  number: '1.01662561531984887228937930307'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '25'+  number: '1.00842103361984665239007944137'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '26'+  number: '1.00423576723559036052139318477'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '27'+  number: '1.00212404058522623583883153030'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '28'+  number: '1.00106358093788667694837483536'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '29'+  number: '1.00053220070422778369642543966'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '30'+  number: '1.00026621200818568181774891792'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '31'+  number: '1.00013313741276867396776385456'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '32'+  number: '1.00006657781396601575886786044'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '33'+  number: '1.00003329162026765066672583732'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '34'+  number: '1.00001664663748475235394026693'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '35'+  number: '1.00000832357596869558239821054'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '36'+  number: '1.00000416186922945206263542182'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '38'+    i: '2'+    s: '37'+  number: '1.00000208096060064557866016957'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225$.+- params:+    k: '40'+    i: '1'+    s: '1'+  number: '244165804630765.992122066090066'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '2'+  number: '253664884048054.131632974340404'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '3'+  number: '135327826057959.635892978117441'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '4'+  number: '49467568481583.6449936421561165'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '5'+  number: '13949133204438.2019046656443254'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '6'+  number: '3239276032217.18899635412038778'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '7'+  number: '645836174658.236727076089710702'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '8'+  number: '113813525209.756742777415771620'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '9'+  number: '18114305930.5139328382234753304'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '10'+  number: '2647632812.72141315265900218457'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '11'+  number: '360164788.227863365799708914280'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '12'+  number: '46097597.9180522152435420727213'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '13'+  number: '5600688.67205398381443464267723'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '14'+  number: '650448.941460566125574590426395'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '15'+  number: '72549.6734466386887259494148561'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '16'+  number: '7781.75002053517654791409921506'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '17'+  number: '798.686778637229744322767593026'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '18'+  number: '77.0770283333585180283131946171'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '19'+  number: '6.89797237391346665052088974697'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '20'+  number: '0.948096669386525192729575467606'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '21'+  number: '0.716634300001780645591990367200'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '22'+  number: '0.836313368928377057813584715168'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '23'+  number: '0.914763245646265385623813333912'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '24'+  number: '0.956139819039912277468850801594'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '25'+  number: '0.977545154763494948870286204029'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '26'+  number: '0.988567364674957585584928497663'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '27'+  number: '0.994208624731447422714042269517'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '28'+  number: '0.997077959622007985275937093974'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '29'+  number: '0.998529942615199898036529399486'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '30'+  number: '0.999261913136048067986259836210'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '31'+  number: '0.999629929345166003455259169499'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '32'+  number: '0.999814621036505987585587615356'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '33'+  number: '0.999907195811565571934137271737'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '34'+  number: '0.999953559658861740984603717450'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '35'+  number: '0.999976767083362461569190736808'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '36'+  number: '0.999988379294856407991703164772'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '37'+  number: '0.999994188232511685044376000971'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '38'+  number: '0.999997093644834677007820210531'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '1'+    s: '39'+  number: '0.999998546665340246723115887568'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462$.+- params:+    k: '40'+    i: '2'+    s: '1'+  number: '244166266549071.844420402987462'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '2'+  number: '253665843549559.885572043739760'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '3'+  number: '135328849386138.297975531545052'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '4'+  number: '49468316129727.4940377134966116'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '5'+  number: '13949554447136.7883774498440925'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '6'+  number: '3239471390185.59392045199117878'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '7'+  number: '645913904557.364426363363277105'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '8'+  number: '113840831924.947551563963201505'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '9'+  number: '18122955587.1923012298012308023'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '10'+  number: '2650142823.46809153877073660014'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '11'+  number: '360840203.613835990098193949941'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '12'+  number: '46267665.4133729060385918472768'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '13'+  number: '5641006.59686436722540941659581'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '14'+  number: '659474.221811828050357684264167'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '15'+  number: '74454.8596875042206344985604914'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '16'+  number: '8158.23815759010185006147215238'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '17'+  number: '867.254698897004997506001361049'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '18'+  number: '88.3456291883308938140656710677'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '19'+  number: '8.61758707799187106135236044627'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '20'+  number: '1.30703268324762197909347901279'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '21'+  number: '0.895286056333887963666559035187'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '22'+  number: '0.958581724986059246475712875740'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '23'+  number: '0.993296426564909124838257970222'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '24'+  number: '1.00239873230292317086339606486'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '25'+  number: '1.00321591922324132122814322079'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '26'+  number: '1.00228419476505710840318779246'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '27'+  number: '1.00136567825198469657739449288'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '28'+  number: '1.00075647127751388929057108408'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '29'+  number: '1.00040248126595213279243303635'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '30'+  number: '1.00020923412733757871300954332'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '31'+  number: '1.00010725680819025327689251465'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '32'+  number: '1.00005450160474191316264345277'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '33'+  number: '1.00002754008541895728235340315'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '34'+  number: '1.00001386600323354703066572430'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '35'+  number: '1.00000696486739078732138576149'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '36'+  number: '1.00000349302448976874720774183'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '37'+  number: '1.00000175003455288804600831137'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '38'+  number: '1.00000087618935479282642903542'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '2'+    s: '39'+  number: '1.00000043848485702524404595448'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613$.+- params:+    k: '40'+    i: '3'+    s: '1'+  number: '244166651111473.314812726974144'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '2'+  number: '253666642983841.660225283972958'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '3'+  number: '135329702988943.360329653168487'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '4'+  number: '49468940863539.2322345667398578'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '5'+  number: '13949907360120.1738518884496128'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '6'+  number: '3239635705040.18009752606205138'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '7'+  number: '645979671448.282700555158973393'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '8'+  number: '113864143054.233770871970884771'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '9'+  number: '18130439529.5285146521042404903'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '10'+  number: '2652359019.92587493381084205887'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '11'+  number: '361455066.956028896824736630075'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '12'+  number: '46429791.4560760902212748845076'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '13'+  number: '5682207.95413190479025490801294'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '14'+  number: '669713.753331657490520762225135'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '15'+  number: '76983.1099519956202847859965260'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '16'+  number: '8789.27302843841426275665129599'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '17'+  number: '1029.43060668759704864649841125'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '18'+  number: '132.051404061092507408290862745'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '19'+  number: '21.1679018091776797248242353411'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '20'+  number: '5.19193807618327152515001462613'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '21'+  number: '2.19914544060723604707774718733'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '22'+  number: '1.43280503919296008823430786367'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '23'+  number: '1.17904203265755038261074447859'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '24'+  number: '1.07993367825063236762742150188'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '25'+  number: '1.03728194155897105998376368415'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '26'+  number: '1.01784647190142113728695739415'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '27'+  number: '1.00867955465979526767214333243'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '28'+  number: '1.00426321156683332453054176799'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '29'+  number: '1.00210714390334366759671963504'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '30'+  number: '1.00104566458009877390243653761'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '31'+  number: '1.00052025484286350706353343901'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '32'+  number: '1.00025928225669237538774322233'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '33'+  number: '1.00012936279225345122711807101'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '34'+  number: '1.00006458944332142757950662689'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '35'+  number: '1.00003226427338364623730952745'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '36'+  number: '1.00001612203721602307671019585'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '37'+  number: '1.00000805766446896854073599031'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '38'+  number: '1.00000402771725087817946445947'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$.+- params:+    k: '40'+    i: '3'+    s: '39'+  number: '1.00000201348772507251237863243'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985$. 

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