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History of Zeros of the $L$-functions of level one cusp forms

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2026-09-18 08:09 zeta3 table-repair@2.0+dc0f96a0 repair T324 critique: define zero indexing and rigour checks current
2026-09-18 08:08 zeta3 table-repair@2.0+dc0f96a0 repair T324 critique: define zero indexing and rigour checks
2026-09-18 07:39 zeta3 table-build@2.0+395f185d remove singleton modular form tag reviewed
2026-09-18 07:36 zeta3 with Codex CLI, table-bui table-build@2.0+395f185d level one cusp form L-function zeros for weights up to 40, sorted by a_2 and computed at two precisions
2026-09-18 07:31 zeta3 table-build@2.0+395f185d proposed zero ordinates for level one cusp-form L-functions

What changed between 2026-09-18 07:31 and 2026-09-18 07:36

from line 113 (3243 lines, 3240 more than before) @@ -113,3 +113,3243 @@ 
   - - i   - - n-Numbers: []+Numbers:+- params:+    k: '12'+    i: '1'+    n: '1'+  number: '9.22237939992110252224376719274'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    n: '2'+  number: '13.9075498613921344064466813288'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    n: '3'+  number: '17.4427769782344733135515251371'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    n: '4'+  number: '19.6565131419549610001272817563'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    n: '5'+  number: '22.3361036372098672756826744592'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    n: '6'+  number: '25.2746365481123653567453241931'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    n: '7'+  number: '26.8043911583504030325757492336'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    n: '8'+  number: '28.8316826241868754450219619130'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    n: '9'+  number: '31.1782094983602590644921888908'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    n: '10'+  number: '32.7748753822312074418304556733'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    n: '11'+  number: '35.1969958412100725942199190841'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    n: '12'+  number: '36.7414629767103064958232649607'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    n: '13'+  number: '37.7539159756242704784187924179'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    n: '14'+  number: '40.2190343742213204846292321284'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    n: '15'+  number: '41.7304922893078488311224464031'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    n: '16'+  number: '43.5917412355751703336640017489'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    n: '17'+  number: '45.0400792137755964760226003970'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    n: '18'+  number: '46.1973187531433095953701739789'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    n: '19'+  number: '48.3590524780236695426449744763'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    n: '20'+  number: '49.2760535365581784091871624121'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '16'+    i: '1'+    n: '1'+  number: '5.26502022758204893749954155127'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    n: '2'+  number: '11.8239554601430472501582895915'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    n: '3'+  number: '14.4011076707239284418448856645'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    n: '4'+  number: '17.5167315928765696748096457920'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    n: '5'+  number: '21.2611231128197957287754317892'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    n: '6'+  number: '22.8335922871967848219263786748'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    n: '7'+  number: '24.3563884120089581854814383351'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    n: '8'+  number: '27.5674840864621326571334130497'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    n: '9'+  number: '29.6948415162907997221436671903'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    n: '10'+  number: '31.3108330698059897535436958912'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    n: '11'+  number: '33.1787250218781079579320346979'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    n: '12'+  number: '34.3828613058424838251009248518'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    n: '13'+  number: '36.9000000766615540099202224645'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    n: '14'+  number: '39.2829096460014147292218822981'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    n: '15'+  number: '40.3813326686050812706939062216'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    n: '16'+  number: '41.2552355876497996727453812119'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    n: '17'+  number: '43.2458000222682001403536902838'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    n: '18'+  number: '45.2443510062857052613685277859'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    n: '19'+  number: '46.7345770845377778526848131977'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    n: '20'+  number: '48.6085093263774147276707438418'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '18'+    i: '1'+    n: '1'+  number: '8.14161047020346189864931807904'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    n: '2'+  number: '11.1233342549965164805937448848'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    n: '3'+  number: '16.1203821122020606577361772535'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    n: '4'+  number: '18.1734111503859006194608586907'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    n: '5'+  number: '19.9781067605149362316899457096'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    n: '6'+  number: '23.3665897778839800620816022643'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    n: '7'+  number: '25.9804636054557979512235215678'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    n: '8'+  number: '27.5298187933343023555322706282'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    n: '9'+  number: '28.7338742032581589075710948203'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    n: '10'+  number: '31.2603560658581983929124350875'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    n: '11'+  number: '34.1706587237423174699700990998'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    n: '12'+  number: '35.2067106666736084475344290511'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    n: '13'+  number: '36.6815547314129274229007203602'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    n: '14'+  number: '38.3185993846314277838197443500'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    n: '15'+  number: '39.9454960401257040279618304044'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    n: '16'+  number: '42.5715769147343967395402180075'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    n: '17'+  number: '43.8725149368043229845697863828'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    n: '18'+  number: '45.3961325812661127933456381471'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    n: '19'+  number: '46.4773450828245903889416146453'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    n: '20'+  number: '47.5459515444401193429228842889'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '20'+    i: '1'+    n: '1'+  number: '3.60719823716604384253001609923'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    n: '2'+  number: '8.67710676411638555161715343441'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    n: '3'+  number: '13.3106419073138433262969517981'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    n: '4'+  number: '15.0040325775076665270389299961'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    n: '5'+  number: '19.0154539988742758155995796359'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    n: '6'+  number: '21.0099303106858164832630712714'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    n: '7'+  number: '23.3783110544975263313946630381'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    n: '8'+  number: '25.5911862133405883676951534655'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    n: '9'+  number: '27.2944520879178092788158876564'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    n: '10'+  number: '30.5567260512545880400644894794'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    n: '11'+  number: '31.5133996821940255110333738897'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    n: '12'+  number: '32.7374525094842405347773423213'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    n: '13'+  number: '35.6636811030551473082517204330'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    n: '14'+  number: '37.0270947474491259410456685386'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    n: '15'+  number: '38.7019291047950342966611344279'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    n: '16'+  number: '40.6773107347242799323988299101'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    n: '17'+  number: '42.2667752501099956921130379458'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    n: '18'+  number: '43.1717529240063131690723685157'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    n: '19'+  number: '45.1418917249527420011761397752'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    n: '20'+  number: '47.3610662095457037674357796060'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '22'+    i: '1'+    n: '1'+  number: '5.62147606225101167443889903967'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    n: '2'+  number: '10.0025781971728605568360643686'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    n: '3'+  number: '13.0999918059655738453119280030'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    n: '4'+  number: '16.8678890090669378639737209463'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    n: '5'+  number: '18.3509066977236087829407702141'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    n: '6'+  number: '21.9294842123736007411988263009'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    n: '7'+  number: '23.2370044203154642087852034244'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    n: '8'+  number: '26.0447980314378002477852231540'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    n: '9'+  number: '28.2155238138282480718835613967'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    n: '10'+  number: '29.3158460856964659716770395224'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    n: '11'+  number: '32.0438463544717892504969709362'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    n: '12'+  number: '33.7647858591435572562378550559'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    n: '13'+  number: '35.4167701222623218887719209321'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    n: '14'+  number: '36.9316534824363498609400978234'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    n: '15'+  number: '39.2225246998058020125251548259'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    n: '16'+  number: '40.6292592342957186592284518492'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    n: '17'+  number: '41.6599506364624675858765259611'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    n: '18'+  number: '44.7828864697944190765158875710'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    n: '19'+  number: '45.0861094279842984503474970563'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    n: '20'+  number: '46.4685002890085770318732456582'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '24'+    i: '1'+    n: '1'+  number: '1.88602626271288641226254344200'+  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'+    n: '2'+  number: '8.15008823357298162013000032833'+  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'+    n: '3'+  number: '9.80549024422417286490367104270'+  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'+    n: '4'+  number: '14.2468572989078864204357743901'+  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'+    n: '5'+  number: '17.3304625330465949449967830485'+  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'+    n: '6'+  number: '19.1844948804111237003101369454'+  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'+    n: '7'+  number: '20.9341100717661806571084475957'+  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'+    n: '8'+  number: '25.0626224434553583258462888927'+  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'+    n: '9'+  number: '26.0800241225435661921466440511'+  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'+    n: '10'+  number: '27.7197539296451057435726730096'+  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'+    n: '11'+  number: '29.8397012357838367490961635495'+  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'+    n: '12'+  number: '31.9800539860216699197393736203'+  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'+    n: '13'+  number: '34.1647923541649298351249763889'+  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'+    n: '14'+  number: '36.3728840061641264465955477373'+  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'+    n: '15'+  number: '36.9627670515439333624231536345'+  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'+    n: '16'+  number: '38.0898699569258140244962154025'+  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'+    n: '17'+  number: '40.9387613943955935684000185939'+  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'+    n: '18'+  number: '42.9790893815614108919612345900'+  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'+    n: '19'+  number: '44.0149260290216454096487703576'+  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'+    n: '20'+  number: '45.3170520066439118945248497078'+  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'+    n: '1'+  number: '3.46542238195904954925506904775'+  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'+    n: '2'+  number: '6.07058342244853426264178449878'+  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'+    n: '3'+  number: '11.7951431742309392949686484592'+  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'+    n: '4'+  number: '13.8195544580482399180313230049'+  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'+    n: '5'+  number: '15.9647754764114397792158244599'+  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'+    n: '6'+  number: '20.1143641854249114640855182295'+  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'+    n: '7'+  number: '22.2607349530459410294322922458'+  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'+    n: '8'+  number: '23.3901833685180356172243851339'+  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'+    n: '9'+  number: '25.4348096572248861401209693951'+  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'+    n: '10'+  number: '28.8070175367571398520551213190'+  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'+    n: '11'+  number: '30.5515020266578084800512026830'+  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'+    n: '12'+  number: '31.9514139914589248129109107585'+  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'+    n: '13'+  number: '33.2657746251819087817988830065'+  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'+    n: '14'+  number: '35.0858930687576489373448896715'+  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'+    n: '15'+  number: '38.0898756742163767002841658708'+  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'+    n: '16'+  number: '39.4747725714139279670730528967'+  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'+    n: '17'+  number: '40.6367996141295152603508796085'+  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'+    n: '18'+  number: '42.1206747940281508157123019134'+  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'+    n: '19'+  number: '43.1841793478796063248627377320'+  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'+    n: '20'+  number: '45.6770502463076301422396526889'+  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'+    n: '1'+  number: '4.43532131875266390947498555989'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    n: '2'+  number: '8.33258317067327860689349900803'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    n: '3'+  number: '11.7008994120241005044565023056'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    n: '4'+  number: '14.6116085618940103258390184002'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    n: '5'+  number: '17.4308205281268448424158413831'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    n: '6'+  number: '19.6281434922283148127031394142'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    n: '7'+  number: '22.4226820300576450831855478285'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    n: '8'+  number: '23.9331225157346389282294279378'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    n: '9'+  number: '26.8853720629705000056655119861'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    n: '10'+  number: '27.9229670183165892914353246015'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    n: '11'+  number: '30.7355739129158087764274846170'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    n: '12'+  number: '31.8525621862717233705096307903'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    n: '13'+  number: '34.2559312257237513846138019343'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    n: '14'+  number: '35.7120876004166369888534437867'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    n: '15'+  number: '37.3917255094795673123947454518'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    n: '16'+  number: '39.5222890203110613239609940684'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    n: '17'+  number: '40.5896812887068215730376493828'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    n: '18'+  number: '42.5871809336448198282067462576'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    n: '19'+  number: '44.0100437099993620897948714198'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    n: '20'+  number: '45.9906092219207750131127406413'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '28'+    i: '1'+    n: '1'+  number: '0.877191859570262290319324466835'+  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'+    n: '2'+  number: '6.56510505470169432955925772781'+  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'+    n: '3'+  number: '9.53724464031090735941977763406'+  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'+    n: '4'+  number: '11.5217584860822641474969330206'+  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'+    n: '5'+  number: '16.5058294612308497095061009213'+  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'+    n: '6'+  number: '17.5921096602452760944460083940'+  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'+    n: '7'+  number: '19.5026577406176582438522179745'+  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'+    n: '8'+  number: '22.5018854502910366319543751138'+  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'+    n: '9'+  number: '25.1175068558398106777810845148'+  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'+    n: '10'+  number: '27.1056395981203310883273111768'+  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'+    n: '11'+  number: '28.4420884000636885257076859963'+  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'+    n: '12'+  number: '29.5246669934671735623891735861'+  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'+    n: '13'+  number: '33.1651742406382005490432548578'+  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'+    n: '14'+  number: '34.8684687290705513764115205485'+  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'+    n: '15'+  number: '35.5728017021437177669201445624'+  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'+    n: '16'+  number: '37.5161986314671315903309654696'+  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'+    n: '17'+  number: '39.0176421501198145764679888158'+  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'+    n: '18'+  number: '40.8558731125326130469941278686'+  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'+    n: '19'+  number: '43.2241079585571997252233768244'+  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'+    n: '20'+  number: '44.8836455381743904420281952649'+  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'+    n: '1'+  number: '2.60840721330549053446694296621'+  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'+    n: '2'+  number: '5.49504866683922240527961455874'+  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'+    n: '3'+  number: '9.34895413728117552675839119868'+  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'+    n: '4'+  number: '13.3084139482981548377919443338'+  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'+    n: '5'+  number: '14.3927045175069073794057663660'+  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'+    n: '6'+  number: '17.8462453011601506178212978287'+  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'+    n: '7'+  number: '20.7973796885363818583133710259'+  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'+    n: '8'+  number: '22.2189237112036075081892434661'+  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'+    n: '9'+  number: '24.6441464495835660908765919615'+  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'+    n: '10'+  number: '26.2407342959829589014861996195'+  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'+    n: '11'+  number: '29.1093656906086030683606288298'+  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'+    n: '12'+  number: '30.9024410626892027508743645537'+  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'+    n: '13'+  number: '32.3180369419243359789819500116'+  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'+    n: '14'+  number: '33.5556247956814122530634427732'+  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'+    n: '15'+  number: '36.5343725024521662397728856863'+  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'+    n: '16'+  number: '37.3985982227215342308304211416'+  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'+    n: '17'+  number: '39.8150326493151960363916066466'+  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'+    n: '18'+  number: '41.1622674816289016496604226415'+  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'+    n: '19'+  number: '42.1129372407286444431127721627'+  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'+    n: '20'+  number: '44.1855788235987448377603991292'+  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'+    n: '1'+  number: '3.34698244840578429721006084056'+  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'+    n: '2'+  number: '7.94986656085872488432690673946'+  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'+    n: '3'+  number: '9.63724978226891863228638901312'+  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'+    n: '4'+  number: '13.3869237490859103259654121998'+  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'+    n: '5'+  number: '15.9291704207789608643693258082'+  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'+    n: '6'+  number: '18.8216950901126758766373375544'+  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'+    n: '7'+  number: '19.9337743846036885921593646540'+  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'+    n: '8'+  number: '22.9113209595764456652857785710'+  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'+    n: '9'+  number: '25.7286865766048514703042891272'+  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'+    n: '10'+  number: '26.6035232091856375262800346622'+  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'+    n: '11'+  number: '28.6099814957012285217775261740'+  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'+    n: '12'+  number: '31.2440548389840212284463555880'+  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'+    n: '13'+  number: '32.1412034762672621749901971649'+  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'+    n: '14'+  number: '35.1384295805250051157498609009'+  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'+    n: '15'+  number: '36.1624756300753361614106242720'+  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'+    n: '16'+  number: '37.5927508648460422985116481575'+  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'+    n: '17'+  number: '39.1073158570747338235173292892'+  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'+    n: '18'+  number: '41.6871554580427867506072531236'+  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'+    n: '19'+  number: '42.8666151365004936199042841736'+  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'+    n: '20'+  number: '44.4337190254357617615561099303'+  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'+    n: '1'+  number: '4.46985241121272394578930720162'+  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'+    n: '2'+  number: '6.12312213314869983040118889323'+  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'+    n: '3'+  number: '11.2250645196210984198874883879'+  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'+    n: '4'+  number: '12.8603994287868350442243035866'+  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'+    n: '5'+  number: '15.7957279234641426037297586781'+  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'+    n: '6'+  number: '17.9860626445037635612999012369'+  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'+    n: '7'+  number: '21.5832332798874007711064910520'+  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'+    n: '8'+  number: '22.9966194962953921634503786540'+  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'+    n: '9'+  number: '23.8502314134166530809236788791'+  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'+    n: '10'+  number: '27.4545864216929605546579321669'+  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'+    n: '11'+  number: '29.0955205145114147599996928838'+  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'+    n: '12'+  number: '30.8455796184181272778240102640'+  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'+    n: '13'+  number: '32.8316425041759381654630374952'+  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'+    n: '14'+  number: '34.1035058053463609428203968227'+  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'+    n: '15'+  number: '35.6624300384496049900467110498'+  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'+    n: '16'+  number: '38.8164440073307916355147338235'+  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'+    n: '17'+  number: '39.8842400884728930023642732219'+  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'+    n: '18'+  number: '40.7553136404840749263950324776'+  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'+    n: '19'+  number: '42.2078218834785990550341346632'+  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'+    n: '20'+  number: '44.6747522440260026262234380051'+  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'+    n: '1'+  number: '1.22818716050636831349375206415'+  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'+    n: '2'+  number: '5.28996082164204900634330635759'+  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'+    n: '3'+  number: '8.53961718788590255420113429821'+  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'+    n: '4'+  number: '10.8465195373574211601951746265'+  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'+    n: '5'+  number: '13.9049525626889252525677597757'+  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'+    n: '6'+  number: '17.2108587881570251392441648380'+  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'+    n: '7'+  number: '18.2118740100902705260705301270'+  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'+    n: '8'+  number: '21.1113024722027751906855132386'+  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'+    n: '9'+  number: '23.2307744041011164645439856949'+  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'+    n: '10'+  number: '25.5981504548287806899405217707'+  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'+    n: '11'+  number: '27.5043707833143711461127508572'+  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'+    n: '12'+  number: '28.7714462671564365090950407233'+  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'+    n: '13'+  number: '30.9674605512802807031231955169'+  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'+    n: '14'+  number: '33.2716017771917852635472624249'+  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'+    n: '15'+  number: '34.7132016741116061200655356904'+  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'+    n: '16'+  number: '36.6419272992022241552205805399'+  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'+    n: '17'+  number: '37.4961409087114291394740445702'+  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'+    n: '18'+  number: '40.1984231593534527507988055348'+  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'+    n: '19'+  number: '40.8585584878942751097792339339'+  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'+    n: '20'+  number: '43.3747375632258016676651865723'+  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'+    n: '1'+  number: '2.85476292460552992262642155636'+  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'+    n: '2'+  number: '4.48743998605134772879277686601'+  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'+    n: '3'+  number: '7.89917515449525060067387069171'+  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'+    n: '4'+  number: '12.0098051472476887651431378627'+  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'+    n: '5'+  number: '14.1821587787508633037978412497'+  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'+    n: '6'+  number: '15.2515306442028429590390109096'+  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'+    n: '7'+  number: '19.6749680888118139117280251832'+  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'+    n: '8'+  number: '21.1589914692855597218944554595'+  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'+    n: '9'+  number: '23.3311169081734239894043190732'+  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'+    n: '10'+  number: '24.7460160435958637183094086621'+  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'+    n: '11'+  number: '27.0495450565422518939716462483'+  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'+    n: '12'+  number: '30.3223264379928262169186257113'+  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'+    n: '13'+  number: '31.3097326899994706708140158882'+  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'+    n: '14'+  number: '32.1305595613732468734749529610'+  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'+    n: '15'+  number: '34.2060229503562439072889521110'+  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'+    n: '16'+  number: '36.6647828586776775922997770468'+  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'+    n: '17'+  number: '38.5079870444107922291140489237'+  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'+    n: '18'+  number: '39.8051207471427075925524769040'+  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'+    n: '19'+  number: '41.5531384892693269524396698414'+  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'+    n: '20'+  number: '42.8050346754356604831716266546'+  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'+    n: '1'+  number: '2.31107464957568549956618907631'+  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'+    n: '2'+  number: '7.58479795202813569245751961691'+  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'+    n: '3'+  number: '8.94275042582456244187408063610'+  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'+    n: '4'+  number: '11.1625927243852570370745164865'+  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'+    n: '5'+  number: '15.3115025503150964769647756859'+  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'+    n: '6'+  number: '17.4223331843071452636611139842'+  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'+    n: '7'+  number: '19.2585133637716686000111043788'+  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'+    n: '8'+  number: '20.4718546450687855062009565015'+  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'+    n: '9'+  number: '24.5320688400673008048192415615'+  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'+    n: '10'+  number: '26.1730517330842186914421028945'+  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'+    n: '11'+  number: '27.2968621768462437430028016065'+  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'+    n: '12'+  number: '28.9604526364544338488391951149'+  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'+    n: '13'+  number: '31.0819500141091475605549048363'+  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'+    n: '14'+  number: '33.8748040838459445109033239165'+  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'+    n: '15'+  number: '35.2699401163297676929080485280'+  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'+    n: '16'+  number: '36.7720124752823754994010882829'+  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'+    n: '17'+  number: '37.5945313665926146619302462579'+  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'+    n: '18'+  number: '39.2549490963304679833480720897'+  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'+    n: '19'+  number: '42.4485464147215105864227226454'+  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'+    n: '20'+  number: '43.4643332587386459439004668564'+  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'+    n: '1'+  number: '3.56400685368044213449625106689'+  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'+    n: '2'+  number: '5.97786009657894493138722886448'+  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'+    n: '3'+  number: '9.33742096968770023108544437514'+  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'+    n: '4'+  number: '12.3882438339161159845384459028'+  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'+    n: '5'+  number: '14.3315453424621662984606485056'+  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'+    n: '6'+  number: '16.9972932298103860045833865594'+  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'+    n: '7'+  number: '19.3773781417136284830064171087'+  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'+    n: '8'+  number: '22.0821285219094704493099602424'+  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'+    n: '9'+  number: '23.1716471022387304356934335311'+  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'+    n: '10'+  number: '25.6162664348483779699236021859'+  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'+    n: '11'+  number: '27.6990293728880208415647070982'+  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'+    n: '12'+  number: '29.6569682531921400966800250169'+  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'+    n: '13'+  number: '31.6509566041935182422675666070'+  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'+    n: '14'+  number: '32.7420579089683081075222544270'+  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'+    n: '15'+  number: '34.9644245861547491876882165227'+  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'+    n: '16'+  number: '36.4902212096962471611603526509'+  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'+    n: '17'+  number: '38.5777019038877238864653128492'+  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'+    n: '18'+  number: '40.1553814804872682880320240597'+  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'+    n: '19'+  number: '41.3588068734304760275934405168'+  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'+    n: '20'+  number: '42.8436806432488745371193299361'+  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'+    n: '1'+  number: '0.372953658287322702677564856040'+  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'+    n: '2'+  number: '4.84357168970594102502750076522'+  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'+    n: '3'+  number: '7.56742165052681597633141970493'+  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'+    n: '4'+  number: '10.3482631113164635668338629516'+  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'+    n: '5'+  number: '12.1412454562877568086826783828'+  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'+    n: '6'+  number: '16.1135150868630206700063052188'+  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'+    n: '7'+  number: '17.5983014434916530102359421451'+  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'+    n: '8'+  number: '19.2201479023030898326742791608'+  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'+    n: '9'+  number: '22.4459581146028925139371305750'+  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'+    n: '10'+  number: '23.6778520151137365082066788907'+  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'+    n: '11'+  number: '26.7689007219407913757686196244'+  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'+    n: '12'+  number: '27.8781657091183332376477225669'+  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'+    n: '13'+  number: '29.1276813441262340449690589579'+  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'+    n: '14'+  number: '31.6634029428274521134787642098'+  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'+    n: '15'+  number: '34.2559501807015882979054223534'+  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'+    n: '16'+  number: '34.9825089786838664978570252267'+  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'+    n: '17'+  number: '36.4203225728017579858701610728'+  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'+    n: '18'+  number: '38.7996072484113491873869147076'+  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'+    n: '19'+  number: '39.8463005196178873487773256306'+  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'+    n: '20'+  number: '41.5981146945738992890930821062'+  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'+    n: '1'+  number: '1.83589775632061795320516641947'+  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'+    n: '2'+  number: '4.13950803345000955418253124047'+  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'+    n: '3'+  number: '8.15752179612092957369385735971'+  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'+    n: '4'+  number: '9.45970382637989849788874875892'+  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'+    n: '5'+  number: '13.5418746594920610126992995578'+  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'+    n: '6'+  number: '14.6385050019257991251042131953'+  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'+    n: '7'+  number: '18.0062615086351142598524246123'+  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'+    n: '8'+  number: '19.8411599049681662669256824483'+  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'+    n: '9'+  number: '21.6099052100709649923717546718'+  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'+    n: '10'+  number: '24.5121399124909156244504419461'+  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'+    n: '11'+  number: '26.1300739128275170093050834808'+  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'+    n: '12'+  number: '27.4115951414096547277682488891'+  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'+    n: '13'+  number: '30.4251815254025908417044638309'+  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'+    n: '14'+  number: '31.5408539304409551498202562329'+  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'+    n: '15'+  number: '32.9274151526226469197871544722'+  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'+    n: '16'+  number: '35.8041471642140831588204097700'+  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'+    n: '17'+  number: '36.9989268653062448929535539351'+  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'+    n: '18'+  number: '37.7734357098633174607894691317'+  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'+    n: '19'+  number: '40.4613401915085414885689890632'+  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'+    n: '20'+  number: '41.8809346289764528858920520721'+  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'+    n: '1'+  number: '2.28810375041348958159043620596'+  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'+    n: '2'+  number: '4.94822276660157313077474188750'+  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'+    n: '3'+  number: '6.18932512378858861994327713434'+  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'+    n: '4'+  number: '11.1064324624125694070530412129'+  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'+    n: '5'+  number: '13.0592429996980523216193227582'+  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'+    n: '6'+  number: '14.6701683117173741067532259059'+  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'+    n: '7'+  number: '17.1651909138442577106706273399'+  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'+    n: '8'+  number: '20.9027711367817626698621377333'+  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'+    n: '9'+  number: '22.1043266150391639638467274807'+  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'+    n: '10'+  number: '23.6351536592679765777354065549'+  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'+    n: '11'+  number: '25.2420492011110085426253194424'+  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'+    n: '12'+  number: '28.7946402967066045673656001789'+  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'+    n: '13'+  number: '29.9978254391101471135627514778'+  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'+    n: '14'+  number: '31.7533326758214725476561253091'+  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'+    n: '15'+  number: '33.3905771633757145286916853649'+  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'+    n: '16'+  number: '34.1316753725696846038643379431'+  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'+    n: '17'+  number: '37.2774699859020412034321940007'+  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'+    n: '18'+  number: '39.2496993635850555237691118649'+  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'+    n: '19'+  number: '40.4850724374686513085664995235'+  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'+    n: '20'+  number: '41.1318516350197206705235812041'+  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'+    n: '1'+  number: '2.19691573656503192005496061157'+  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'+    n: '2'+  number: '6.23021964751350246881882725271'+  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'+    n: '3'+  number: '8.97250443268097089803220912278'+  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'+    n: '4'+  number: '10.2045821862880726764525188625'+  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'+    n: '5'+  number: '13.5471083333806534929657407222'+  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'+    n: '6'+  number: '16.7130323984230847960016626738'+  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'+    n: '7'+  number: '18.0027418512045923564284169040'+  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'+    n: '8'+  number: '19.8749448166938438876074205461'+  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'+    n: '9'+  number: '22.2357128137432926420352364751'+  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'+    n: '10'+  number: '25.4298687948759190207379338662'+  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'+    n: '11'+  number: '26.1125184524047230336571939431'+  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'+    n: '12'+  number: '28.4770695742316095597468155762'+  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'+    n: '13'+  number: '29.3112179946812315014781137890'+  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'+    n: '14'+  number: '32.2040927769897576296352820751'+  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'+    n: '15'+  number: '34.0319464161034818378211010633'+  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'+    n: '16'+  number: '35.7796377336443166643296045720'+  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'+    n: '17'+  number: '36.9603658815208356314666009239'+  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'+    n: '18'+  number: '38.0575324692879613791431090504'+  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'+    n: '19'+  number: '40.4268469667185856884354584099'+  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'+    n: '20'+  number: '42.0975097404453509293866995673'+  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'+    n: '1'+  number: '3.40942703835798794686937639842'+  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'+    n: '2'+  number: '5.30469258083104533062022796873'+  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'+    n: '3'+  number: '8.31337227641902568492528388407'+  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'+    n: '4'+  number: '11.5013202429083073241190564566'+  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'+    n: '5'+  number: '13.5857998335818477795674615655'+  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'+    n: '6'+  number: '15.5141507753674087166828818559'+  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'+    n: '7'+  number: '18.2487195000524688889170294074'+  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'+    n: '8'+  number: '20.6365335886132498863510186770'+  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'+    n: '9'+  number: '22.7692961438305195674011475709'+  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'+    n: '10'+  number: '23.8432221061368714754082431654'+  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'+    n: '11'+  number: '26.4962606458403924591381750172'+  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'+    n: '12'+  number: '28.2702580980090559435563402900'+  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'+    n: '13'+  number: '30.8568564010931758510944004228'+  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'+    n: '14'+  number: '31.5295749051187062873714029943'+  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'+    n: '15'+  number: '33.4951944078571599838760568423'+  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'+    n: '16'+  number: '35.3221525588835426520462029849'+  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'+    n: '17'+  number: '37.1132148416969256245482706831'+  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'+    n: '18'+  number: '39.2835349654665195030474670515'+  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'+    n: '19'+  number: '40.2073307784439073111561374067'+  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'+    n: '20'+  number: '41.9140067145700925763007285277'+  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'+    n: '1'+  number: '0.966466068075954900303515791873'+  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'+    n: '2'+  number: '3.83192808672040979997988668696'+  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'+    n: '3'+  number: '7.74218623091617256182582349878'+  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'+    n: '4'+  number: '8.93938338152303306477408145468'+  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'+    n: '5'+  number: '11.4631104810224283595446391109'+  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'+    n: '6'+  number: '14.5595496468203867198539272519'+  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'+    n: '7'+  number: '16.8061490820160856613491732349'+  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'+    n: '8'+  number: '18.9916833744161068137439899701'+  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'+    n: '9'+  number: '20.0429796282643336052574026624'+  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'+    n: '10'+  number: '23.0635657736563051208712274250'+  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'+    n: '11'+  number: '25.3727634709147129092800115962'+  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'+    n: '12'+  number: '27.0696917441114875740495247494'+  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'+    n: '13'+  number: '27.9107667632875737232210016360'+  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'+    n: '14'+  number: '30.6074195865467295070315108026'+  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'+    n: '15'+  number: '31.9822271318269770913873463471'+  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'+    n: '16'+  number: '34.6588615091118193152839961757'+  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'+    n: '17'+  number: '35.7156020913597725046737895763'+  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'+    n: '18'+  number: '37.1999304649898619423696120100'+  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'+    n: '19'+  number: '38.4616602825585190791491734929'+  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'+    n: '20'+  number: '40.5158673126142242034763804378'+  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'+    n: '1'+  number: '1.05083340459810309799694031290'+  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'+    n: '2'+  number: '4.80382247805960569135205656045'+  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'+    n: '3'+  number: '6.06969296648389121288607488698'+  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'+    n: '4'+  number: '9.74557975774979776550823203232'+  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'+    n: '5'+  number: '11.9556877910976737381283189458'+  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'+    n: '6'+  number: '13.9760090515155017219353649092'+  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'+    n: '7'+  number: '17.1595612223814091327103688711'+  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'+    n: '8'+  number: '17.9580044095801067795173409959'+  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'+    n: '9'+  number: '21.7000880809371572249143833741'+  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'+    n: '10'+  number: '22.5901150386566503926811698637'+  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'+    n: '11'+  number: '24.4171199510428292394728105875'+  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'+    n: '12'+  number: '27.2133587377327095395852900315'+  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'+    n: '13'+  number: '28.6708555444167004525951983033'+  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'+    n: '14'+  number: '30.1910976587701414604646724932'+  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'+    n: '15'+  number: '32.6776853759995655773105031709'+  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'+    n: '16'+  number: '33.7553947816361999481483951819'+  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'+    n: '17'+  number: '35.5004194485078294315093662133'+  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'+    n: '18'+  number: '37.2675739629543502533838189758'+  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'+    n: '19'+  number: '39.6465468543761513080600877535'+  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'+    n: '20'+  number: '40.6496917399462086844432006735'+  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'+    n: '1'+  number: '2.58530357855283309025364860921'+  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'+    n: '2'+  number: '3.73611095458183108711647296791'+  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'+    n: '3'+  number: '6.36775973215910596074086255632'+  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'+    n: '4'+  number: '9.31894697424323157587411726047'+  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'+    n: '5'+  number: '12.9639610092264954536731146842'+  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'+    n: '6'+  number: '13.9088817521627407342207627145'+  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'+    n: '7'+  number: '15.5731429558020580779263099098'+  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'+    n: '8'+  number: '19.4894053378731680675969792917'+  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'+    n: '9'+  number: '21.0849656995546977348975137387'+  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'+    n: '10'+  number: '22.6918903861573208484253171327'+  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'+    n: '11'+  number: '24.8985888400592495437029600511'+  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'+    n: '12'+  number: '26.0205178007450876301228264274'+  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'+    n: '13'+  number: '29.4454209533933960143678795037'+  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'+    n: '14'+  number: '30.9613016550425598862172464947'+  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'+    n: '15'+  number: '32.1756951550758265785765732650'+  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'+    n: '16'+  number: '32.9438095116780509591582469804'+  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'+    n: '17'+  number: '35.8561926667865102271987701009'+  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'+    n: '18'+  number: '37.7116866932305577945130509595'+  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'+    n: '19'+  number: '39.0169518222749602603746217049'+  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'+    n: '20'+  number: '41.0114521426343514682087700855'+  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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